David! J.

Bodycombe

The Giant Book of

B"-^«

l^fSS*
^k- fl

^v A fabulous rbuercoaster
'^ V of brain-bending fun
Welcome to David Bodycombe's carnival of
J.

puzzles for cerebral champions. Grab your ticket

and take a tour round the stalls:

Verbal Vault — word and letter puzzles for the

linguistic genius

Picture Palace — visual vexations to confound your

eyes and brain

Number Cruncher — the fun house for figures

Logic Lounge — riddles and problems to push your

lateral thinking to the limits

Mystery Box — where anything goes!

So roll up, ladies and gentlemen, boys and girls,

and treat your brain to all the fun of the fair!
David J. Bodycombe is a Mensa maestro and all-

round genius. Born in Darlington, England, he

graduated from the University of Durham in 1995
with a degree in mathematics. His creations have
appeared in the Daily Telegraph, Mensa Magazine,
and on television. For five years, he was one of
the games creators for the UK Channel Four hit
game show The Crystal Maze. His other works
include The Mammoth Book of Brainstorming
Puzzles, Optical Illusions and Picture Puzzles, and
Mind Benders.

\
Main image © Fotosearch
Additional Images & cover design by e-Digital
 Fasten your seat-belt on a rollercoaster ride of

puzzle fun. A carnival of games and quizzes, including

test-'your-strength machines at intervals to see if

you're a brainy brute or a logic lightweight! There

are 33 trips around the fair, and more than boO

puzzles to solve. Get ready for the ride of your life...

The Giant Book of
IQ Puzzles
 Digitized by the Internet Archive
in 2010

http://www.archive.org/details/giantbookofiqpuzOObody
The Giant Book of
IQ Puzzles

David J. Body combe

Magpie Books, London

 Constable & Robinson Ltd
The Lanchesters
3
1 62 Fulham Palace Road
London W6 9ER
www.constablerobinson.coni

First published in the UK by Robinson,

an imprint of Constable & Robinson Ltd 1997

This edition published by Magpie Books,

an imprint of Constable & Robinson Ltd 2005

Text, icons and selected diagrams copyright © David J. Bodycombe 1997

The use of copyright clipart originated by the companies listed on

page 499 is acknowledged and is used under license.

The right of David J . Bodycombe to be identified as the author

of this work has been asserted by him in accordance with
the Copyright, Designs and Patents Act 1988.

All rights reserved. This book is sold subject to the condition that
it by way of trade or otherwise, be lent, re-sold,
shall not,

hired out or otherwise circulated in any form of binding or cover

other than that in which it is published and without a similar condition
including this condition being imposed on the subsequent purchaser.

A copy of the British Library Cataloguing in

Publication Data is available from the British Library

ISBN 978-1-84529-198-3
ISBN 1-84529-198-0

Printed and bound in the EU

3 579 10 8642
 CONTENTS

Introduction vii

Instructions ix

The Puzzles 1

Final Score 475

Clues 477

Acknowledgements 499

(Answers are at the end of

each round of ten puzzles)
 ABOUT THE AUTHOR

David J. Bodycombe was born in Darlington, England in

1973. Over seven years his creations have appeared in a

national puzzle magazine, the Dail)/ Telegraph, Mensa

M.a^:(ine and on television.

For five years, he was one of the games creators for the
UK Channel Four programme The Crystal Mar^e.
After graduating in Mathematics from the University of
Durham in 1995, David moved to Kingston-upon-
Thames, Surrey, where he currently works for a

management consultancy company.

By the same author

The Mammoth Book of Brainstorming Putties

Edited by the author

Giant Family Pun^les

Giant Cra^ Pur^^les

 INTRODUCTION

Carnival owners certainly are on to a good

thing.The crowds roll up to hand over their
money and then they go away happy. So why do
we play their games at all? Because they're fiin,
and I hope that's what you'll have when playing
the 330 puzzles in this book.

For those of you who have already crossed

paths with my first book. The Mammoth Book of
Brainstorming Puf(f(les, you will know
aim to that I
give my puzzles a different "spin", whether
devising completely new concepts or giving
classic teasers an unexpected sting in the tail.

Some of the puzzles are straightforward, others

are sUghdy sneaky, and the challenge is to work
out which are which. And that's before you
even start to solve the puzzle itself!

Once again I have provided a scoring system

for the more competitive reader. If, however,
you want to drop in to a particular stall that
takes your fancy, feel free to do so. I have
included clues to the puzzles — see page ix for
further details.

So roll up for all the fun of the fair. And once

you've paid for this book you don't even need
to pay me an admission charge.
 msTRvcrioNs

Every day the Carnival has ten games for you to attempt.
Although there are many locations within the Carnival,
some of which you will meet on your travels, you will find
that the following five stalls contain the puzzles
themselves:

Verbal Vault - A treasure trove of every kind of word puzzle.

Nxomber Cruncher - The fun house for figures.

Picture Palace - Can you defeat our visual vexations?

Logic Lounge - Take a seat, put your feet up and listen to

these logic problems and lateral thinking riddles.

Mystery Box - Anything and everything else!

The number of points you can win for each puzzle varies
from two to ten you are completely stuck on a
points. If
puzzle, don't give up as help is at hand. Turn to pages
477-497 where you will find a clue for the puzzle you are
stuck on. However, if you read the clue you only get
half the points available for that puzzle.

Wrong answers score points.

A number of puzzles have a bonus question. If you think

you've solved the main puzzle, correct answers to bonus
puzzles earn you an extra 5 points. However, you can only
claim these points if you got the main puzzle correct.

Keep a track of your scores as you go around the Carnival.

Every so often there is a "Test Your Strength" machine so
that you can determine if you're a logic lightweight or a
brainy brute!

Happy puzzling.
 ROUND 1
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 1 puzzles are on pages 12-14.

Your
Category Points Score

^
 BUILDING BLOCKS

The diagram below shows a pile of 36 toy bricks,

each one bearing a letter. By taking the bricks one
at a time, you can spell out 6 words, clues to which
are provided.

You must only take bricks that are not supporting

other bricks - so you'll have to take the "A" as your
and then you must decide whether the
first letter

"T" or '*N" should come next. When you have

finished, the three starred blocks will remain.

Clues (in order)

Insect (3)
Every (4)
Location (5)
E.g. whale (6)
Measuring tool (7)
3-D image (8)
 ROUND 1

TELEPHONY

The carnival owner wants to place some signs

around the grounds so that visitors can see where
the nearest public telephone is situated. He wants it
to look something like this:

He has been given a quotation from his local firm.

It costs$100 for a sign to be designed, and $10 for
every copy of the sign that's printed. The owner
would like four signs with the arrow pointing left,
and six signs with the arrow pointing to the right.

What is the lowest total cost that the owner could

get away with?
 TREE WEAVE

Children visiting the carnival are often challenged

to run the Tree Weave Race. The participant starts
at point A, and then runs to points B, C, D then
back to A. For each leg of the trip the children
always choose one of the several shortest routes
available through the trees.

There are 625 routes available to the children for

the whole trip. How many routes would there be if
they ran from 1, to 2, to 3, to 4, then back to 1?

Tree
tops

D
 ROUND 1

IF TRUTH BE TOLD..

The stall holder of the Logic Lounge, Lateral Larry,

poses you a question.

"Let me tell you about my children, Jack, Keith and

Laura. If you want to win this game, you have to
work out what you can deduce from the following
statements.*' He hands you a card:

»s over
(B) Keith 6^^^^^
(C) Laura \s 23 ^^^\ -^ ^ or

are K&B tvue^.^

^B/or both
(E) This
statement \s true
versa.
false and v\ce ^^x^
statement \s \a\se
1

\^
(F^ This
both C&Eavettue.
only i^

(G)
lustoneo^O,E6.^vstvue.

You do not know anything about statements A, B

and C. However, you know that statement G is
true. So, what facts can you deduce about Larry's

children?
 SNOOKERED

The English game of snooker uses eight different

balls, each one scoring a different number of

points:

Red = 1 point; Yellow = 2 points

Green = 3 points; Brown = 4 points
Blue = 5 points; Pink = 6 points
Black = 7 points; White = counts as -4

Place one of each into the

box so that each row,
column and diagonal adds up to the amount
shown. The blue has been placed already.

^^

Solve this additional puzzle for 5 bonus points:

Suppose that the diagonals read 7 and 7 (instead of the

current 9 and 1 1) but the other figures remained the

same. What would the position of the balls be now?

 ROUND I

IN PERSPECTIVE

Can you work out which word is being displayed in

diis picture?
 CHECK IT, MATE

Lateral Larry is looking at the chessboard below.

"Looks like someone was playinga game earlier,"
he says. "Hey, after the very next move one player
was checkmated. The thing is, I can*t tell whether it
was White or Black."
To win this puzzle, explain why Larry couldn*t say
who lost.
 ROUND I

EVEN-INGALL

The stall holder, Mandy Math, gives you seven

disks. Each one bears a different number, from to
6 inclusive. To win the game, place the disks in the
engraved circles so that every straight line of 3
circles has an odd total.

Solve this additional puzzle for 5 bonus points:

The puzzle above has many possible solutions. Exacdy

how many?
 ROUNDABOUTS

You enter the Verbal Vault and see this diagram on

the wall:

A
 ROUND I

PUMP UP THE VOLUME

Mystic Molly has been constructing a store, made

from connected tubes, to contain her special magic
potion. Can you tell her how many units of potion
she will be able to store in this contraption before
tube A begins to overflow?
The scale on the right shows how much one tube
can hold, measured in units.

POTION
IN

units
1. The answers are: (3) ANT, (4) EACH, (5) \^NUE, (6)
MAMMAL, (7) SEXTANT and (8) HOLOGRAM.

2. $200 is the least possible. Althougji it appears he should pay

$300 for the signs (two lots of $100 and ten lots of $10), the
carnival owner clevedy spotted that the same sign could be used
for either direction, like so:

3. There are 10,000

s s
routes. There are five possible, shortest
routes from A to B. No matter which route we took to get to B,
there are 5 routes from B to C. Likewise for C to D and D to A.
In other words, our choice of route is independent for each leg.

Hence 5x5x5x5 = 625 routes for the whole jovumey.

As there are ten ways to get from 1 to 2, the answer to the

puzzle islOxlOxlOxlOby the same reasoning.

4. As we don't know anything about A, B and C's truth, we need

to consider all eight cases. Let's draw up a table:

Statement ABC
statement G is true, and so we require only one of D, E and F
to be true. This only happens in the second row. So we now
know that A is false, B is false and C is true. Hence we can
deduce that Jack doesn't have blond hair, Keith is under 6 feet
tall and Laura is 23 years old.

obvious that the white ball must go at the bottom of the

5. It is

second column. The yellow ball must also go in the second

column. The bottom row will either be White + Red + Yellow
or White + Green to make up the -1. However, as the yellow
and white balls cannot occupy the same space, it must be White
+ Green. Now for die top row, 15 = 7 + 6 +2 or 6 +4+ 3 +2
are our only options (can't be 7 + 5 + 3 as the blue ball is in the
third row). But we know the 3 point Green ball is on the bottom
row, so we must have Black, Pink and Yellow here. Continuing
this process, we arrive at the final answer (left):

'61
15
5
5
-1
8. In to 6, there are only three odd numbers. So, by ensuring
one odd number lies on each path, the totals of all six lines will
be odd. In other words, place the odd numbers on the shaded
circles:

There are (4 x 3 x 2) x (3 x 2) = 144 possible solutions.

9. The answers are: (diamond) MINE, (circle) MITT, (pentagon)

MERE and (triangle) MEAT. The 9-letter anagram is
TERMINATE.

10. Molly could store 21 units of potion.

 ROUND 2
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 2 puzzles are on pages 26-8.

Category
 PICTURE RING

To win the game, place the pictures in the correct

frames so that eight 2-word phrases are formed.

1 1

1
 ROUND 2

BLACK AND WHITE

This picture can be divided into eight equal pieces

so that each piece contains one black and two white
dots.

As the solution is fairly obvious, find the other two

ways as well.

G] [D [71 [71 [Tl [7] [7| fJ [7| [71 \J\ [71

a §

3 i
§
i i
i I
3 I
#
"13 L3 cJ S~E] L^ clI
•
S~E1 L3 iiJ
I
E~
 JIG-SORE

Solve the puzzle below.

m The most number of

Tits" required to piece
together a 1000 piece
jigsaw is 999, clearly.
But suppose joining
two groups of pieces
counts as only one fit.
What is the least
number of fits
required to piece
together the same
1000 piece puzzle

^
from scratch?
 ROUND 2

DOUBLE CROSS

Use four shapes, identical to the one

shown, to make a shaded cross.
Then rearrange the pieces to make a
square.

You can use the graph points

plotted below to help you.
 IN COMMON

Mandy Math has twelve counters, as shown. You

must place three in each shape so that (a) each
shape shares a number with every other shape, and
(b) the total in each shape is an even number.

Solve this additional puzzle for 5 bonus points:

^^^P^
Find a solution so that (a) each shape shares a number
with every other shape, and (b) the total of each shape
is an odd number.
 ROUND 2

SOME SUMS

'^Welcome back," says Lateral Larry. **You*re just in

time to try out my new game. Here are five tiles,

each with symbols on them. You have to rearrange

the tiles so that four correct calculations are
formed. In order to win the game you must touch
the fewest tiles possible."
 BANG THE BALLOONS

**Take a look at the balloons below," says Sideshow

Sid. "As you can see, there is one letter on each of
four white and four black balloons. I want you to
burst the balloons in the order dictated by the rules
to win the pri2e."

RULES:
(1) The black balloons should be popped in

alphabetical order. (2) Don't start with the white A

but, whenever you do pop this balloon, you must
pop the C as your next move. (3) On one occasion,
you need to pop two black balloons in a row.
(4) Don't pop the I until two black balloons remain.

(5) Once you have popped the final white balloon

(which is not C or R), there should be one black
balloon left.
 ROUND 2

DIGITATIONS

Shade in six of the white segments and place a

mathematical sign in the circle so that a correct
calculation is formed. The digits from to 9 look
like the following:

0/^3W56T89

o a
 HERE, BOY!

The six dogs below are walked around die carnival

in pairs every day. How is it possible to arrange it
so that no two dogs walk together more than once
over a period of five days?
 ROUND!

STEPPING STONES

There are two words that can be made from the

letters G, H, I, L, N, S, T andU Place them in the
grid so that either word can be spelled out by
moving from circle to circle. Two letters have
already been placed for you.
11 The eight boxes make a circle of phrases, as follows: Nose-
piece, piece-meal, meal-time, time-bomb, bomb-shell, shell-fish,

fish-hook, hook-nose.

12. The obvious and not-so-obvious solutions are shown here:

13. The number is still 999. This is because 999 pieces have
least

to at some point to another group of pieces, so

be connected
grouping the pieces is no more efficient than connecting them
one-by-one.

14. The solutions are as shown below:

15. Example solution: (2, 4, 6); (1, 2, 3); (1, 4, 5) and (3, 5, 6).
Example solution for bonus question: (1, 3, 5); (2, 5, 6); (2, 3, 4)
and (1, 4, 6). Naturally it does not matter which particular shape
contains which three numbers. There are several possible
solutions for each puzzle.
16. Just one - turn the second tile upside-down:

^H
19. One possible solution is shown below:

Day 1 AB CD EF
Day 2 AC BE DF
Day 3 AD BF CE
Day 4 AE BD CF
Day 5 AF BC DE

20. The two words SUNLIGHT and HUSTLmG. Once you

are
have wodced you know that the N must be connected
this out,
to U and L (because of the way SUNLIGHT is spelt) and must
also be next to I and G (so HUSTLING can be spelt). So N
must be connected to four letters and hence must appear in the
bottom circle You can likewise conclude that S need only be
connected to U and T, and hence must appear in the top-left
circle This, coupled with the two letters you are given to b^;in
with, yields the following solution:
 ^

ROUND 3
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 3 puzzles ate on pages 40-2.

Your
Category Points Score

^ 21. 3 RING CIRCUS ^

^ 22. ABOUT LAST KNIGHT... ^
^ 23. PENNY PUSH
— ^
^ 24. OVERTYPE —
^
4^
25. WHEEL OF FORTUNE
26. GET OUT CLAUSE
^
^^
^ 27. TREASURE ISLAND <^
^ 28. SQUARE DEAL ^^
^ 29. EITHER WAY
^ 30. STAmCASE SEQUENCE ^
TOTAL FOR THIS ROUND <^^^/^

+ Bonuses (5 points each) <r

^
+ Rvinning total from previous round <r ")>

TOTAL SO FAR
(carry forward to next louni
 3 RING CIRCUS

Place the numbers 1 to 9 in the spaces (using each

digit only once) so that (a) the three numbers on all

the rings add up to 15, and (b) the three numbers

between each pair of Uke arrows add up to 1 5.
 ROUNDS

ABOUT LAST KNIGHT.

To win the game, place the maximum number of

knights on the 5x5 chessboard so that no knight
attacks a square occupied by another knight. One
knight per square!
 PENNY PUSH

A move consists of sliding a penny along a plank to

the empty space. You have nine moves to rearrange
the coins so that they read clockwise from 1 to 6,
starting with 1 in the top-left comer.
 ROUNDS

OVERTYPE

Four pairs of words have been overtyped. What are

they?

41&'

#•
^^
 WHEEL OPPORTUNE

Mandy Math works as a croupier in a casino.

There are 42 numbers on her roulette wheel.

Starting at 0, if she counts every third number on
the wheel, she finds that she gets back to before
she has counted every number. The same thing
happens if she counts every 14th or every 21st
number, for example.

Mandy wants a wheel so that, no matter what

counting interval she chooses, she will always visit

every number on the wheel before returning to 0.

She thinks this would make for a fairer roulette

wheel.

How many numbers should be on such a wheel?

Choose from:
(a) 43 numbers; (b) 44 numbers;
(c) 45 numbers; (d) 46 numbers?
 ROUND}

GETOUTCLAUSE

To win game you must pass through the maze.

the
Unfortunately, there are a number of locked
passages (represented by the boxes). There are six
keys, each of which opens all the doors bearing
that symbol. You are allowed to take three keys —
which three would allow you to win?
 TREASURE ISLAND

Pirate Pete knows six things, (a) One of the

following statements is false; (b) The treasure is not
on a main diagonal; (c) The treasure is not in row
C; (d) The treasure is not in an even-numbered
column; (e) The treasure is not ia D3; (£) The
treasure is not in a comer.

He can*t deduce which of (b) to {£) is the false

statement. However, using this information what is

his probability of finding the treasure?

 ROUND 3

SQUAREDEAL

"Fll make you this deal," says Mandy Math, holder

of the Number Cruncher stall at the carnival. "In
the equation below, the same number must be
placed in each box. You can win your points for
this game if you can tell me all the numbers that
can fit in the squares."

A bystander offers the answer "Seven".

"Too bad, you lose," says Mandy.

Can you see the trick behind Mandy's swindle and

thus provide the correct answer?

(0x0)0=42
 EITHER WAY

Can you spot 18 words of four letters or more that

have something in common? The words read in any
direction.

TSOMNSGUSRLB
 ROUND}

STAIRCASE SEQUENCE

Work out the logic behind this sequence. To win

the game you must say on which step the numbers
49 and 122 would be placed.
21. The trick is to realize that it is the classic "15 Magic Square"
pvizzle but with the ends joined to make circles instead of rows
and columns:

gas
nam
22. The most is thirteen. You can place a knight on all the white
squares because all the knights would then attack the black
squares, as shown in this example illustration:

23. Move 5 into the blank space, and continue with coins 4, 1, 6,

5, 4, 2, 3 and finally 4. (Other solutions exist.)

24. The of words are as shown. The first letters

pairs also spell
out ACID and BASE, two more related words.

brooch diadem
auburn indigo
shandy cassis
e i ghth adagio (muskal terms)
25. (a)) would be the best by far. Because 43
43 numbers (option
is number, and hence has no smaller prime factors,
a prime
Mandy can't avoid cycling through every number.

26. The <^,<:^, and <^ keys are used. The trick is to realize

that you have to go backwards in order to go forwards:

27. If statement (b) is false (and hence the rest are true) then the
treasure must be in B3. If (c) is false, it must be CI. If (d) is

false, all the locations are discounted except for A2, B4 and D2.
If (e) is false, the treasure must surely be in D3! Statement (f)

cannot be false because if so then (b) must be true, but these

two contradict one another. So, even if you don't know which
of (b) to (f) is the false statement, you can narrow your odds to
6-in-16 (or 3-in-8) since there are six out of the 16 squares left.

28. Mandy asked for "all the numbers that can fit in the
squares". Seven is a correct answer, but -6 works also:

(OIx0)-0=42
(28 contd.)

For those of you familiar with quadratic equations, the clever

way of working it out goes like this:

l±Vl + (4xlx42)
x=
1±13
=7 or -6

29. The words in the puzzle are all palindromes, making it twice
as easy as any other wordsearch! The of 23 words is:
full list

boob, dvic, deed, denned, kayak, level, madam, minim, noon,

peep, poop, radar, redder, refer, rotavator; rotor, sagas, sees,

sexes, shahs, solos, tenet, toot.

30. A better way of looking at this is:

T T
T nnr IV VI "irxr IX
V vir
Tnr
"XF
imr
XIV XVI
TVT
TDT
^
m
Tvnr

Hence 49 = XLIX = 4 symbols, hence goes on the 4th step

down. Likewise, 122 = CXXII = 5 symbols, so goes on the 5th
step down.
 ROUND 4
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 4 puzzles ate on pages 54-6.

Category
 LETTERBOX

Place the letters in the grid so that a 16 -letter word

can be read counterclockwise in spiral fashion. To
give you a clue, the letters appear in the
corresponding column or row. For example, R and
L appear somewhere in the first column.

R s T u
L c w c

EN
CI

EO
OK
Start
 ROUND 4

PEN PUZZLE

Use three wooden pens of the same shape (but not

necessarily the same size) so that all the sheep are
separate from one another and can't escape. The
pens may not overlap.

jW >l

Solve this additional puzzle for 5 bonus points:

How many circular fences would you need to ensure that

the sheep are separated and can't escape? Overlapping is

allowed here.
 TRIGRAPHS

The following words are in the Verbal Vault for a

special reason - they words with the
are the only
following combinations of three letters. Using the
clues, can you say what the words are?

DO^

00000000
OD000ODOO
a^aooo
CLUES
(in no particular order)
Listening equipment

Shelves

Wavy
Dinner jacket
Flexible

Baby bird
 ROUND 4

IT'S A DEAL

Marvin the Magician baffles many passers-by at his

Mystery Box stall. Today he is showing his audience

a card trick.

"I have thirteen cards in my hand. As you can see,

they are mixed at random." He shows the cards to
the audience who confirm that they don't seem to be
in any particular order.

"I will now spell out the cards in sequence," says

Marvin. "First we have
the Ace, so I shall spell out
A, C, E!" Holding the pack face down, he takes a
card from the top of the deck and deals it to the
bottom for the "A", likewise for the "C" and on the
count of "E" he takes the next card from the top of
the deck and deals it face up onto the table. It is
indeed the Ace.

He then counts "T, W, O!" and

again the third card is dealt
onto the table to show a Two.
He continues through the
cards, dealing the cards in
order until he has the King left

in his hand.

How could you stack the cards

to repeat this trick without
using sleight of hand?
 "I'LL LAND" A JOB

An unemployed businessman travels to an island.

He would desperately like a job, but the island is
uninhabited and no ships ever pass by.

However, it was only a matter of hours before he

got an interview for a good management job. He
started work the next day.

How come?
 ROUND 4

BRIGHT SPARK

Adept types can try their luck at the shooting stall.

Punters have six shots, one for each of the six

targets. On average, the chance of someone hitting
the target is 50% each time. A light is Ut for every
hit target.

Mandy Math runs on what will happen in

side bets
the next game. People bet on whether there will be
an even number (i.e. 0, 2, 4 or 6) or odd number
(i.e. 1, 3 or 5) of lights at the end of the six shots.

She offers even money on either gamble.

Providing fair play is assured, which of the two

bets provides the better odds, or are they equally
good?
 BOX SQUASH

What word can be read here?

 ROUND 4

ANIMAL ANTICS

For the amusement of younger visitors to the

carnival, there is an Animals Corner. The variety of
creatures there is quite impressive, including koala
bears, silkworms, prairie dogs, jackrabbits and
guinea pigs.

What, in particular, do these five creatures have in

common?
 GOLDEN GAMBLE

Mandy Math offers you this gamble:

**Take a normal, two-sided coin. Toss it. If it turns

up heads, you get $2. If it is tails but heads on the
next throw, you get $4. If it is tails, then tails, then
heads on the third throw, you get $8. Tails, tails,
tails, heads gains you $16, and so on."

"So," she concludes, "if you get a tail the amount

doubles and you toss again; if you get a head, the
game stops and you collect your winnings."

What is the largest amount of money you would be

prepared to pay to play this game?
 ROUND 4

WHICH PRIZE?

Will the Wordsmith has four pri2es on offer in his

stall, but only one is Complete the pu22le,
valuable.
then deduce whether you*d choose the pearl
necklace, the gold bar, the diamonds or the oil
painting. One clue has been filled in for you.

1 Fear of foreigners 6 Leader of Greeks in Trojan War

2 Richness test for milk 7 Central Asian country
3 Wide, low part of river 8 "A" is the article
4 Commonwealth queen 9 Serenity
5 Taking over an aircraft 10 American highway
31. The wotd is, appropriately enou^, COUNTER-
CLOCKWISE!

32. The answer to the main puzzle is shown left; the bonus
puzzle answer (4 fences) is on the right.

• • •

33. are ZIGZAG, BOOKCASE, CYGNET (a young

The words
swan), EASYGOING, HEADPHONES and TUXEDO

34. To work this out, imagine thirteen boxes in a row, with the
"top of the pack" represented on the left. Then spell out the

words, depositing the relevant card upon calling the final letter,

^^^''
ACETWOTHREE F O
36. You'd think that the "even numbers" bet would be slighdy
better,because there are four outcomes (0, 2, 4, 6) rather than
the three odd numbers (1, 3, 5). However, one has to take into
account how many possible ways there are of scoring each
number of lights:

No. of ways lights lit 1

No. of ways 1 light lit 6

No. of ways 2 lights lit 15
No. of ways 3 lights lit 20
No. of ways 4 lights lit 15
No. of ways 5 lights lit 6
No. of ways 6 lights lit 1

The number of ways an even number of lights could be shown

is dierefore 1 + 15 + 15 + 1 = 32. The total for the odd

numbers is 6 + 20 + 6 = 32. Hence, the bets are equally likely.

37. The word is CONCERT. A very tall, thin C can be read,

followed by O, N, then a fairly normal C and E, followed by a

very short and wide R and T.

38. All the animals are "misnomers" as their names don't

describe what they actually are. A silkworm is not a worm, it is a
larva; a jackrabbit is a hare; a koala "bear" is a marsupial; and
prairie dogs and guinea pigs are classified as rodents, rather than
dogs and pigs.
39. Theoretically one shoiild pay as high a price as necessary,
even all money there is in the world. To wotk out the fair
the
price for a game such as this, tnathematidans use something
called the "expectation". The expectation is equal to the
probability of an outcome multiplied by its reward, summed
over all the outcomes possible. In this instance:

= Probability x Reward
Expectation
Exp. for H = i X $2 = $1
Exp. forT,H=ix $4 = $1
Exp. forT,T,H=ix $8 = $1
Exp. forT.T,T,H = ix|16 = $l
etc
So the expectation for the gamble is the total of diese, namely
$1+$1+$1+$1+$1+... which is an infinite amount Hence
offering aoy finite amount of money would be too cheap.

40. All the letters in the shaded squares are consecutive in the
alphabet The arrowed column reads OBTAIN GEMS so you
should have opted for the diamonds.
 ROUND 5
Use this page to keep track of your score. Carry your total
forward to the next round of pu22les.

Answers to Round 5 puzzles are on pages 68-70.

Your
Category Points Score

^ 41. COGNITION
 COG-NITION

Mystic Molly owns four pieces of semiprecious

onyx which she uses to predict events. They have
holes through the middle so that they interlock like
cogs when placed on spindles. The O, N, Y and X
cogs have 13, 14, 15 and 16 teeth respectively

How many times does the N cog need to be

rotated before the word ONYX is displayed
correcdy again?
 ROUNDS

COMB THE AREA

The Animals Corner at the carnival also contains

an apiary. One particular bee is trying to collect
honey for the queen. He wants to start from empty
cell S, then collect three cells worth of honey, then
have a rest on an empty cell, then collect three cells,

then rest again, and so on until he reaches F.

Which route should the bee take in order to coUect

all the honey?

Solve this additional puzzle for 5 bonus points:

There are two possible solutions — find the other one.

 PERFECT PREDICTION

Tex the Mex was having a siesta in a sunny comer

of the fairground when he thought up the
astonishing sentence below. Clearly the statement
was were seven mentions of "one",
true, as there
three mentions of "two" and so on.

A very similar sentence can be made by changing

some of the numbers in bold type. Can you work
out how to do it?
 ROUND 5

PYRAMID DICE

"Here's a challenge for you," teases Wordsmith

Will. "No matter how I roll these three tetrahedra,
that's four-sided dice to you and me, I can almost
always make a word from the letters that touch the
table when they land."
He tosses the dice eight times, and makes the
following words:

"See, easy as that. Of course, I often need to

rearrange the dice to do this. I want you tell me
which letters are on which dice."
 /rzz

AGAIN AND AGAIN

You must find the five 6-letter words, using the

dues provided. If you are stuck, the phrase
MUTANT DISHWATER might help you.
Then again, it might confiise you fiirther.

Calcium deposit on teeth

AAAAAA
':.
,..>;

Bullet that explodes

^AAAA
on impact
>/,•;".

Herge*s hero
AAAAA
vvvv
Famous "Lord",
traitor of WWII

Tropical fly, cause of

sleeping sickness
 ROUNDS

WORD ROUTE

Examine the three diagrams and decide what the

final diagram should like.

^5^A vugiiboiMls

7^ trudgC/ to fruit

l^ece of eight

l^otiricAl bo4ira
 LANDLUBBER LIAR

Near the quayside end of the carnival a fisherman

with weather-worn, suntanned skin is repairing his
nets. "Ahoy, there!" he says. You ask him about his
net.

"If it wasn't for this net I wouldn't be alive. My

boat ran aground in the Pacific a month ago and I

was stranded on weeks with

an island for three
nothing but my clothes, the boat, the net and the
knife I use to gut the fish. I used the knife to cut up
the net to form the letters S.O.S. which, thankfully,
a passing plane spotted."

Can you see why this fisherman is (ahem) spinning

you a yarn?
 ROUNDS

JUGGLEJAPE

Jeremy Jester, one of the most popular clowns in

the carnival's circus, was pondering on a problem.
He placed one of his juggling balls inside a ring
then pushed the ball around inside it, keeping the
ball in close contact all the way around one circuit
of the ring.

How many times would you expect the juggling ball

to rotate?

Solve this additional puzzle for 5 bonus points:

How many times would the ball have revolved if it

started on the outside of the ring?
 AHOY, THERE!

Three lighthouses each make a sighting of a lost

ship. What is the likelihood that the ship will be
found in the sighting triangle formed?

Assume that each lighthouse is equally likely to

miss to the left or right of the ship.

Sighting
Triangle"
 ROUNDS

LIGHTBULB LOGIC

Lateral Larry offers you a puzzle to tackle. "Here

are three switches, one of which is connected to
the lamp inside this sealed, black box. You are
allowed to open the box once, but once you do so
- that's it, no more switch presses because you've
gotta tell me your answer."
'To win the game, you must tell me which of the
three switches turns on the lamp." Given that all
the switches are at the "off" position at the
beginning, what strategy can you devise that
ensures a win every time?
 1

41. We need not bother about the O cog because it always looks
like The N cog has 14 teeth, but because it looks correct
an O.
upside down it is correct every 7 teeth. The Y has 15 teeth but
looks correct every 5 teeth. The X has 1 6 teeth but looks correct
every 4 teeth. As 7, 5 and 4 have no common factors, we just
multiply the numbers to get 140 teeth - that is, for every 140
teeth (orl40/14=10 turns) the N cog turns through, ONYX
is again displayed. Hence the answer is 10.

43. "I predict there will be 1 0, 11 1 s, 2 2s, 1 3, 1 4, 1 5, 1 6, 1 7,

8, and 1 9 in this sentence." This is correct because there is one

0, eleven 1 s, two 2s etc. in the whole sentence.

44. The general principle used throughout this puzzle is "If

ABC is a word, and A is on B and C must be on 2
die 1, then
and 3 or vice versa." Using the word CAT, let's say C is on 1, A
ison 2, and T is on 3. Using PEG, TAP and APE readily gets us
to this position:

CP 2AG 3TE
We have D, O, S, N, I and R left. By POD, O and D can't be on
die 1. Similarly, RIG means R and I can't be on die 2. Now it
gets tricky. If you try to place N on die 2 you find that DIN,
SON and RIG can't all work, so this is impossible. Likewise, if
you try to place N on die 3 you find that DIN, SON and POD
don't all work. Therefore, N must be on die 1. From now on it's
easy to deduce the final answer:

1 C P N R 2 A GD SI 3 T E O I

45. The answers are TARTAR, DUMDUM, TINTIN,

HAWHAW and TSETSE. The first three (or last three!) letters
of each word together make up the phrase "mutant dishwater".

46. Each circle By deducing that the

has a letter.

previous clues refer to PIRATES, TRAIPSE and

PIASTRE, you can work out that PARTIES
looks like the diagram shown here. The first
letter of the word is denoted by a double circle.

47. If he'd been on a Pacific island for three weeks, his chin
would be pale because his beard would have prevented tanning.

48. By noting that the circumference of the ring is four times

that of the ball, you'd think that the answer However,
is four.
the correct response is five. If we broke and
the ring
straightened it out, then the answer would be four, but the baU
travellingaround the ring causes an extra rotation. The answer
to the bonus question is six.

49. One-in-four. Each of the three sightings can miss to the left
or right, so there are 2x2x2 = 8 possibilities. Of these, only
two enclose the ship in the sighting triangle. These occur when
all the sightings miss to the left (or to the right) of the ship, as
shown: ^ ^

'^^ \m
50. Tvim on switch 1 . Leave it for five minutes to make the lamp
hot. Then switch it off and turn on switch 2. Immediately open
the box and feel the lamp. Using this method you can always win
no matter which switch is connected to the lamp:
If lamp is off and hot = switch 1.

If lamp is on and cold = switch 2.

If lamp is off and cold = switch 3.

Lamp on and hot is not possible.

 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calculate your score so far and

see how high you can try ...

TOTAL
SO FAR
210 C£R£BRAL CHAMP
MENTAL MAUL£R
BRAINV BRUTE

POSER POVftXHOUSE

SMART SCRAPPER
TOUQH THINKER
LOGIC U6HTVitel6HT

PUZZLE PUSHOVfeR
 ROUND 6
Use this page to keep track of your score. Carry your total

forward to the next round of pu2zles.

Answers to Round 6 puzzles are on pages 84-6.

Your
Category Points Score

^ 51. INFINITY HOTEL

 INFINITY HOTEL
XSZ

"So the story goes," Mystic Molly begins, "there is a

ghostly hotel in the grounds of the carnival which
has an infinite number of rooms. The place is so
popular that it is always fiill. However, should a
ghost want a room for the night the inn keeper
would just ask the ghost in room 1 to move to
room 2, the ghost in 2 to move to 3, and so on for
all the rooms."

Despite your disbelief, she continues. "On

Halloween night, an infinite number of ghosts
came to stay. Can you tell me how he
accommodated the spooks?"
 ROUND 6

HARDEN THE GARDEN

Eric the Engineer wishes to concrete over a patch

of waste land to make it into a good seating area
forwhen the carnival's visitors want to take a break.
The area is a trapezium in shape, and he thinks he
can work out its area by the formula:

{a+b)
xh
Is this correct? If so, prove it. If not, what is the
correct formula that Eric should use?
 FISHY BUSINESS

On the island of Zog, the traders use shells as a

means of oirrenqr. A winkle shell is worth four
clams. However, one nautilus shell is worth seven
clams because it is more rare.

The disadvantage with this system is that, even if

you have a very large supply of winkle and nautilus

shells, it is impossible to buy something costing the
equivalent of nine clams.

What is the total of all the numbers that are

impossible to make up using winkles and nautiluses
only?
 ROUND 6

TRIANGULATION

Visual Vern, the keeper of the Picture Palace stall,

challenges you to one of his games. "Here is a

triangleof cotton buds. Normally these puzzles use
matchsticks, but my mother told me never to play
with matches," he chuckles.

"Anyway, what you have to do is move four cotton

buds in order to halve the area of the figure.'*

Solve this additional puzzle for 5 bonus points:

Move six buds instead, to quarter the area.

 LETTER LIFT

Which word can be made by picking up the letters

in sequence? That is, when lifting a letter you must
not disturb any of the letters underneath.
 ROUND 6

SECOND THOUGHTS

Lateral Larry shows you where

a postcard. "Here's
I went for my holidays last year. As you might

know, it*s only one of two objects that can be made

out when looking at the Earth from the Moon."

"I thought the Great Wall of China was the only

man-made object that could be seen," you say.

"Ah, therein lies the puzzle," says Larry. Apart from

the Earth what other object on Earth can be
itself,

seen from the Moon with the naked eye?

 TAKE A PICTURE

What animal would suitably fit in the blank box?

 ROUND 6

EGGS IN BASKETS

Mandy Math needs three boxes each containing a

dozen She currendy has three boxes
eggs.
containing 21, 9 and 6 eggs.

She would like to take three moves to complete the

task, where a move consists of doubling the
number of eggs by taking the required number
from ONE other box.

How does she do it using exacdy three moves?

Solve this additional puzzle for 5 bonus points:

How does she perform the same task using exactiy

two moves?
 THE SLEEPY CLOWN

Colin the Clown, one of the carnival entertainers,

looks after two large tanks of paint which are used
to make fairground signs. One of the tanks
contains red paint, the other green.

Unfortunately, Colin has had a terrible week,

because the other clown has been ill, and Colin has
had to work so many extra hours he could hardly
keep his eyes open. As a result, he has made a lot
of silly mistakes.

On Monday, he took a bucket of red paint but

poured it all back into the green tank. On
Tuesday, he took two buckets from the green
tank and poured it back into the red tank.
And on Wednesday, he did the same as
Monday.

Given that the red tank is smaller than

the green, which tank now contains
the most paint of the other
colour?

Solve this additional puzzle for 5 bonus points:

Which tank is the most removed from its intended

shade of paint?
 ROUND 6

CRYPT-OLOGY

Mystic Molly*s number one ride at the carnival is

the Ghost Ride. Along the way, observant riders

will notice the famous Cryptic Bats.

Using the clues to help you, can you crack their

code and say what the five words are?

034035785Q
0490483534

SDIfKCtPtll

4303459843

mroiiMtrs mm
358173553

TWOUlltTlllNt 084973553

iimtTMtin
51.You catuiot ask the ghost in Room 1 to move to room
infinity+ 1 because there is no such thing. However, you can ask
every ghost to move to the room double the number they are
cvurrently in moves to 2, 2 moves to 4, 3 moves to 6, etc.)
(i.e. 1

This leaves allodd numbers free and, since there are

the
infinitely many odd numbers, the infinitely many ghosts can be
accommodated.

52. Eric's formula is correct. Here's a way of justifying it:

Area of triangle =2^ base x height =2^{b — a)^h

Area of rectangle = base x height = ax h
Total area = [ i ^>& - i ah] + ah
= ^ah + \bh = ^(a + h)h

53. The numbers 1, 2, 3, 5, 6, 9, 10, 13 and 17 cannot be made,

making a total of 66. All the numbers fall in to one of four
groups; the impossible combinations are those which involve
adding negative amounts of 4s (shown here in brackets):
7s + several 4s = 0,4,8,12,1 6,20,24,28^2,- ••
1 7s + several 4s =(3),7,1 1,1 5,19,23,27,- ••
2 7s-»-several 4s = (2,6,1 0),14,18,22,26,--
3 7s + several 4s = (13,9,13,17),21,25,2933,---
4 7s + several 4s = 2832,- (as first line).
• •

54. The answer is shown left; the bonus answer is on the dg^t:

AAAA
55. The answer is CON. You can't spell CONVENT because it

is not possible to lift the letter V without distvurbing the E.

56. Both statements are correct because the other object isn't
man-made. It is the Great Barrier Reef, which is a coral made
from thousands of sea animals.

57. A picture of a stork would be suitable. All the other pictures

pair up in rows with one letter different. Row 1 = Stork +
Storm; Row 2 = Plant + Plane; Row 3 = Steam + Steak; Row 4
= Chess + Chest.

58. Clearly, there must be (21+9+6)/3 = 12 eggs in each basket.

There are only three possible starting moves: (a) double the 6
basket moving 6 from the 9 basket; (b) double the 6 basket by
moving 6 from the 21 basket; or (c) double the 9 basket by
moving 9 from the 21 basket. It turns out that (b) provides the
right answer, and (a) (not illustrated) or (c) (shown below on the
right) provides an answer for the bonus puzzle.

Main Answer Bonus Answer

Move 21 9 6
1 15 9 12
Move
2

Move
3
60. If you managed to guess the clues and match them up to the
numbers, you may have seen that the used correspond to
letters

the top row of a typewriter keyboard:

HaSBSESES
SSEE00EQES
are: 0340357856 = PERPETUITY; 0490483594
So the answers
= PROPRIETOR; 4303459843 = REPERTOIRE; 358173553 =
ETIQUETTE; 084973553 = PIROUETTE.
 ROUND 7
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 7 puzzles are on pages 98-100.

Your
Cat^ory Points Score

^ 61. ROPEY BUSINESS

 ROPEY BUSINESS

Sailor Sam and Pirate Pete each have a 500 ft long

rope. Each cut their rope into 100 ft lengths for use
on their boat.

"I needed fout separate cuts to chop up those

ropes," said Sam.

^That's strange, me hearty, I needed five cuts," said

a pu22led Pirate Pete.

Can you explain the difference?

 ROUND?
z;z=

BLACKOUT

Will the Wordsmith sells crosswords. To advertise

his wares, he has just finished painting this

crossword in his shop window. From the inside of

the shop it looks like this:

o
 BATTLESHIPS

In the carnival boat pond there are five motorized

batdeships for the children to play with, numbered
from 1 to 5 as shown. The numbers along the edge
of the pond denote the total of all those ships
appearing in that sector of the pond.

Given that the same ship is only counted once in

each row or column, help the children locate where
the ships should be placed.

1 S ID b
 ROUND?

BACK PROJECTION

A model rocket is launched. When die projectile

reaches die highest point of its flight (namely, 36
ft) another rocket is launched from the same place.

What will the maximum height of the second

rocket be, given that they land on the groimd at the
same place at the same time?

36 ft.
 PAINS OF GLASS

Visual Vem challenges you to place the etched glass

pieces into the window so that an 8~letter word can
be read. It can be done.
 ROUND?

SUM THE STARS

Insert the remaining numbers from 4 to 12

(i.e.

inclusive) so that (a) all the pairs of connected

circles add up to the same total, and (b) all the stars

add up to same number.

N.B. The totals mentioned in (a) and (b) are not the
same.
How can these five jigsaw pieces be fitted together?

^^^m Sohre this additional puzzle for 5 bonus points:

What is formed when the jigsaw is completed?

 ROUND 7

ANIMALS CORNER

On Animals
a subsequent visit to the carnival's
Corner you find four different types of animal,
shown below.

Can you work out what these animals have in

common?
 LOSTPROPERTY

**My job's not an easy one," grumbles Guy the

Security Guard. "People lose all sorts of things
while they're on the carnival's rides - binoculars,
umbrellas, hats, belts, cameras, and so on.

"All the lost property gets sent to my hut and, in

order to keep things organi2ed, I arrange the things
logically on my shelves. And if you want a puzzle
to work out, me where I should place
tell a shoe in
order to keep my system going."
 ROUND?

ROUND TABLE

Visual Vern is proudly displaying his new circular

pool table. "I never was any good at comer shots!"
he jokes. If he were to hit the ball so that it hits the
table four-ninths of the way around the
circumference, how many times would the ball
need to bounce to return to its starting position?
61. Sailor Sam had a straight piece of rope which was 500 ft
long. Pirate Pete started with a circular rope of that length and
so needed one more cut to reach the same situation as Sam.

62. This is becomes much easier when you

a tricky puzzle that
meant people to see the crossword from outside
realize that Will
the shop. So, you need to consider the puzzle back- to- front,
shown left. The answer (shown right) demonstrates which
squares should be blanked out.

fx|
64. The time of flight for a projectile is proportional to the
square of the maximum height. In plain English, halving the
time of flight would reduce the maximum height by V2 squared,

i.e. V*. So the maximum height of the second rocket would be

36/4 = 9 feet.

65. The secret is to realize you can rotate or flip over the tiles by
using the symmetry of the letters:

66. Each pair of numbers must add up to 13, hence every star
must have numbers totalling 26. Here is one solution:
(5)
67. The pieces lock together in a cyclical formation to form a
pictvire of the Acropolis in Athens, Greece:

68. Their names are the same in the singular or plural. For
example, you can have one sheep or several sheep. ^The plural
of fish can be "fish" or "fishes".)

69.As SHOE has two consonants, it should be on the second

row of shelves from the bottom and, as it has two vowels, it
should be in the second column. Th6 other objects follow this
logic also.

70. The ball would need to bounce nine times (eight if you don't
co\mt the final bounce). This happens because 4 and 9 do not
share any common factors (except 1).
 ROUND 8
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 8 puzzles are on pages 112-14.

Your
Category Points Score

^ 71. SANDWICH SUMS

 SANDWICH SUMS

Colin the Clown wants to make himself a

sandwich. However, he wants to know how large
the slices of bread are.

Given the surface areas (in square inches) for the

three sides of the loaf, can you give CoUn the
answer?
 ROUNDS

TAPESTRY TEASER

Mystic Molly is weaving a tapestxy. The diagrams

show she has built it up in a sequence. Can you
supply the next picture?
 TRACER

Visual Vem offers visitors to his stall a wide variety

of visual puzzles. For this particular game he has
three tacks hammered into a piece of board with a
string around them.

If the pencil is moved around the inside of the

string, which is always kept taut, it outlines a shape.

Claim your prize if you can guess correcdy what

that shape is.
 ROUND 8

MAKE THE CUT

Here is an 8 ft long piece of string which needs to

be cut up into two 1 ft and three 2 ft lengths.

What is the least number of cuts you would need

to achieve this feat?

m^T Solve this additional puzzle for 5 bonus points:

How many cuts would you need for a 10 ft string
to be cut into 1, 2, 3 and 4 ft lengths?
 IN THE FRAME

Can you think of a word that would logically fit

into the arrowed space?

 ROUNDS

PRODUCT-ION

Munoo, the fairground mind-reader, would like you

to read his mind for a change. He is thinking of
two whole numbers. Using the clue provided, say
what the two numbers are.
 CLOTHESARE
DANGEROUS

Jane appears as an assistant to "The

Ama2ing Stupendo" at the circus
located in the middle of the carnival
complex.

On her day off, she decided

that she would have a
change of scene so
she went to the
nearest town tobuy herself some
new clothes for the act. She
purchased a satin dress, gold
bangles, black gloves, silver high-
heeled shoes, and various
belt
other accessories to complete
the look.

Just before the act, The

Amazing Stupendo was not
pleased with his assistant's new
ensemble. ''You better go and
change, if you want to stay
aUve!"

Why did he say this?

 ROUNDS

STEP BY STEP

This athlete wears a pedometer, a device used to

measure the number of steps taken. Its current
reading is:

After running a certain track event, his pedometer

reads another palindromic number. Given that his
pace is 1 m per stride, what race did he run?
 DOUBLE CROSSED

Visual Vem offers you four

identical stone pieces, like the one
shown right.

Rearrange them to form a cross.

Then rearrange them again to
make a cross of the same shape
and size but different shade.

The grid below may help you.

e a
 ROUNDS

FALL INTO LINE

Will theWordsmith takes some lettered stones out

of a bag and places them on a table. He then takes
some chalk and draws a dotted line as well as some
arrows.

**To win the game, tell me where I went on

holiday/* he says.

«, 9 /

^
</

€r
4^%
71. The loaf of bread measures 3 x 4 x 8, so the slices of bread
measure 3 inches by 4 inches.

72. At each stage, the squares to shade in are those which will

only touch one side of one of the existing, embroidered squares.

73. The shape that the pencil makes will look like a triangle with
well-rounded vertices:

74. As the puzzle's diagram suggests, the trick is to loop the

string so that one cut (through X) will provide the right lengths.

By die same token, you could make any number of different

sized loops, so the answer to the bonus puzzle is again "one"
75. The arrow points to the intersection of the triangle (3 sides)
and the circle (1 side) so that answer has to suffix 3 + 1=4.
Suitable words include ball, eyes, wheeled, legged, poster, seater,
dimensions, etc. The other phrases are"Four pack" (because
"pack" is in the four-sided square), "Three cheers", "One off",
"Six shooter", "Ten pins" (6 + 4), "Seven sages" (4 + 3), "Seven
seas" (6 + 1).

76. Ifyou have two unknowns but one equation you can't solve
it, Wrong, because we can use the information that both
right?
the numbers are whole integers. If our two numbers are x andj,
then "Their product is three times larger than their sum" turns
into:
— 2>{x + j) =
xy 3>r + 3J
So:
xy-?>j = 'hx
j(x-3) = 3x
—
y = x~3I
3x

As J must be a whole nvimber, x— 3 must equal 1, hence x= A

and (using the above equation) it follows thatj is 12.

77. "The Amazing Stupendo" is a knife-throwing act. Lucy had

bought higher-heeled shoes than she normally buys. If she had
worn them for the act, it could have been a dangerous situation.

78. The man must have run the 110 m hurdles race. The only
possible palindromes that would be suitable are:

73037
- 72927
110
79. ITie two ctosses are shown here:

80. The
+ t^
stall holder had been to JERICHO. To see why,
each stone rovindel in the direction of the arrows until it
move
meets
the dotted line.
 ROUNDS
Use this page to keep track of yoxir score. Carry your total

forward to the next round of puzzles.

Answers to Roimd 9 puzzles ate on pages 126-8.

Your
Category Points Score

^ 81. BOB'S SLEIGH

 BOB'S SLEIGH

Carnival Bob a new bobsleigh ride. He

is installing

has been given a cryptic map of the route needed.

The numbers denote how many half-pipe segments
are contained in that row or column for that
quadrant. Two pieces have been placed for you -
now complete the route.

4
 ROUND 9

STALL TO STALL

The owner of make an ideal

the carnival wishes to
route plan for his visitors. He wants them to be
able to (a) visit every square (except the carnival
offices), and (b) visit a stall at every fifth square.

The entrance and exits are denoted in the diagram

below.

How should the owner plot the route?

>
Stall-
 CHAMPIONSHIPS

Every Friday on the carnival boating lake there is a

remote-controlled motor boat competition, with a
grand prize of a free day of fairground rides for
the winner.

On one particular Friday there were 82 young

contestants. Each heat featured 4 players and the
one who
steered their boat around the buoys the
went through to the next round of the
fastest
knockout competition.

How many heats were needed before the overall

winner was decided?
 ROUND 9

SIX-SIDED SECTIONS

Marvin the Magician has two pieces of hexagonal

plastic which he uses for a special card trick in his
act. However, at the moment he's using them for

some "trick-y" mathematics.

"Here is a yellow hexagon overlapping with a

magenta one. They are regular hexagons each with
an area of 30 square inches. As you might expect,
the overlap is green. To win the game you must tell
me the area of the green section."
Hint: A straight edge may be useful in this puzzle.
 CLOCK WATCHING

"I have invented a timemachine that can make

time go forwards, backwards or stand still!"
Professor Muddleup proudly proclaims. He points
towards an old digital clock currendy showing the
time 12:55.

He then takes a cloth and covers the clock for one

minute. Upon taking off the cloth, the clock shows
12:56. "No surprises, yet. But watch this ..." He
covers the clock again, this time for two minutes.
This time the dock says 12:56 when uncovered.
**Time has stood still!", exclaims the Professor.

For the finale, he covers the

clock, again for one minute.
The Professor whips off the
cloth which now displays
12:55. **Time has gone
backwards!" he screams.

Given that the clock has not

been tampered with, what has
happened here?
A street-show performer wishes to entertain the
carnival's visitors. She is a juggling act and so
wishes to have as much room as possible, although
she has a limited 100 foot chain to help her cordon
off the space she needs.

In what configuration should she arrange the

cordon to achieve this? She can use the walls
available to help her in this feat.
 MIXED DATES

Penny, a secretary to the carnival owner, is making

plans for the next few holiday seasons. She uses the
well-known rule that Christmas Day and New
Year's Day always fall on the same day of the week.

However, she is surprised to hear that in the year

2000 Christmas Day will fall on Monday whereas
New Year's Day falls on a Saturday.

Can you explain why her rule doesn't woric?

 ROUND 9

QUITE QUIET

To win this game, find the 9-letter word that is

spelled out using one silent letterfrom each of the

words below. The first word gives you the first
letter, and so on.

HAUTBOY

TABLEAUK
eiSINESS
bAOOsome
FORECASTLE
m^^^^%
 CRIMEWATCH

One of the fairground security guards hands you a

piece of paper. *T)unno what this means," he says,

**but I reckon this is the work of the infamous

bank robber Lex Lucra."

Can you work out what the message reads?

 ROUND 9

TRIANGLE WRANGLE

How can these six identical rods be arranged to

make a total of eight equilateral triangles? Six of
the triangles are the same size, and the other two
are also congruent to one another.

Solve this additional puzzle for 5 bonus points:

How can the same six rods make four equilateral

triangles so that they all exist in different planes in
space?
81. Clearly the tows and columns with "0" cannot have any part
of the route, and those with "4" must be completely full. This
gives us the diagram on the left. From here one can deduce the
solution, shown right.

I t t !! S I I

lilt O 4 S 1 I S I t O 4 S t

82. The route is:

83. If 82 contestants entered then there were 81 losers. Since

each heat knocked 3 people out of the competition, there were
81 / 3 = 27 heats.

84. The area of ovedap is 2/6ths of a hexagon (see the diagram)

and hence is equal to 10 square inches.
85.Although the clock has not been tampered with, it is rather
old.One of the lights has broken which explains why the times
were not as expected.

This LED
88:88*- ,

is broken

86. A straight cordon would yield an area of 250 square yards.

However, circles are always the best for maximizing area. A
quarter circle yields an area of 318 square yards.

87. When people say "Christmas Day and New Year's Day fall

on the same day of the week", they really mean "New Year's
Day is seven days after Christmas Day". However, that New
Year's Day lies in the next year. There is nothing special about
the year 2000 -January 1st and December 25th of the same year
are always one day apart (two days apart during leap years, like
the year 2000).

88. Taking one of the silent letters from each word spells out
TAXIDERMY:
HAUrnBOY
(A)ISLE
TABLEAUrX)
BUSmNESS
HAN0D)SOME
TWITCH(E)D
FO(R)ECASTLE
MNEMONIC
PRA(Y)ER
89. If you arrange the shapes by their number of sides you
should be able to work out the message 'TUT THE MONEY
OUT OF FRONT WINDOW NOW - L."

/ronN /rwim tooww (owLJ

90. Moving one of the large triangles over the other produces
the required result, which looks like a Star of David:

To answer the bonus question, we clearly need the use of the

third dimension. This pyramid satisfies the required condition:
 ROUND 10
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 10 puzzles are on pages 140-2.

Category
 MOUSE TRAPPED

One of the younger visitors to

the fairground was crying.

'What's the matter?" asked a

passer-by.

**Timmy, my pet mouse, has

fallen down that hole in the
ground. I was playing in the
sand pit when Timmy fell into
it," said the distressed child.

The passer-by looked down the

hole and could just make out the
mouse at the bottom. It had
fallen down a hole left by a tent
peg-

'TDon't worry," said the passer-

by. "I have a way we can get
Timmy out, although it will take

a litde time."

How did they do it?

 ROUND 10

WHICH WAY WORDS

Wordsmith Will has got himself into a bit of a

mess. Using the coordinate grid shown on the left,
he had encoded the large crossword. Unfortunately,
he has written the numbers in a hapha2ard fashion
so that, for example, if a square cc«itains 2 & 3 he
can't decide whether he meant row 2 column 3 (the
"S") or row 3 column 2 (the "O").

Nevertheless, can you work out what the four

5-letter words are?

11 ^ iD Q] a

12 3 4 5
 CONFUSED COMPASS

If a move consists of rolling a ball along a line into

an empty space, how many moves will it take for
this compass to be made correct (with North
pointing to the top of the page)?
 ROUND 10

PICTURE PAIRS

The following seven pictures hang in the Picture

Palace. They match up in adjacent pairs to make
phrases. Which is the red herring?
 AT THE STROKE OF...

Mandy Math has a new puzzle waiting for you at

the Number Cruncher stall. "Here's a fountain pen.
Using the least number of strokes of the pen, how
is it possible to make the mathematical sum on this

piece of paper correct?"

1 + 2-3 = 139
 ROUND to

COSTLY CONUNDRUM

Colin the Clown is on balloon duty today. Visitors

to the carnival are invited to buy one of his novelty
balloons for a very reasonable price.

There are six shapes of balloon, each one costing a

different amount (namely 1, 2, 3, 5, 7 and 10
pence).

Jamie^s mother wishes to buy some and

for her son
his friends. Unfortunately she has forgotten which
shapes were required. However she does know that
she needs four each of three of the shapes, and
five each for the other three shapes.

Given that she was able to buy what

she needed using only 20 pence coins,
what balloons were bought?
 AKE THE DIFFERENCE

*Look at these triangles," says Mandy Math.

,A 4 4
**The number inside each triangle is calculated by
taking the (positive) difference between each pair
of numbers. To take the first one as an example:

12 = (7-l) + (4-l) + (7-4).

Can you tell me:

(a) Under what circumstances will the number

inside the triangle be a multiple of 4?

(b) Under what circumstances will the number

inside the triangle be even, but NOT a multiple
of 4?"

Mt Solve this additional puzzle for 5 bonus points:

Under what circumstances will the number inside

the triangle be odd?
 ROUND 10

IDENTITY PARADE

Inspector Hartland is lining up eight suspects in an

identity parade. Unfortunately, they have got
themselves mixed up. He can ask any suspect to
come out of the parade and move into any gap in
the line-up (asking the others to shuffle up if

necessary).

What is the least number of suspects he will have

to ask to move so that they line up in numerical
order from left to right?

ccoooooo

AAAAAAAA
 ROTUNDA

How can the three strips of paper be wound

around the three middle rows of the cylinder so
that the three shaded segments at either end are
joined together by a line? Continue straight on at
crossroads.

i-H-, I H—i-.rR
"^
I-. I M-. I I

hn I M-. I M-^FH
 ROUND 10

LIGHTING UP TIME

Lateral Larry has brought out his "lamp in a box"

pu2zle again. "Here are two switches, of which
neither, one or both could control the lightbulb in
the closed, black box. I can tell you that the bulb is

currendy off.

"You open the box once, and

are only allowed to
once you do so you must tell me which switch (es),
if either, control the lamp."

What strategy should you use to win every time?

91. By taking some sand from the sandpit, the passer-by could
fillup the hole gradually. Hopefully the mouse wovdd shuffle its
feet to keep on top of the sand.

92.
m s
lotefcluffl
o m
93. It will require a total of ten moves:

After
four
moves

Two
more —
finished!

94. The eye is the odd one out The other pictures pair up to
make the phrases 'Svitch doctor", "Roman candle" and "finger
painting".

95. Just one stroke of the pen is necessary.

96. She buys four of each shape of balloon plus one extra for
three of the types. The four of each shape would cost a total of
(1 + 2 + 3 + 5 + 7 + 10) X 4 = /;i.l2.
Since we know the total amount was of 20p, possible
a multiple
totals for all the balloons include /;i.20, £1.40, ;(;i.60, /^l-SO,
and
so on. This means the extra three balloons must have cost a total
of 8p, 28p, 48p, 68p, and so on. Using three of the values 1, 2, 3,
5, 7 and 10, the only possible total is 8p. Hence the mother

spent £1.20. Therefore, she bought four 3, 7 and 10 pence

balloons and five 1, 2 and 5 pence balloons.

97. (a) The number inside the triangle occurs when the numbers
on the vertices are all odd (or all even), (b) This occurs in all the
other cases, i.e. one number is of different "parity" to the other
two. Bonus answer: This never occurs.

98. Reading from left to right, we notice that suspects 2, 3 and 4

are already in the correct order. So we only need to ask the other
five suspects to move in order for them to read in order from 1
to 8.

99. The so wrap the first

strips are given in the correct order,

strip arovmd the first and likewise for the second and third
ring
strips. Imagine the cylinder has been flattened out into a
rectangle. Arrow indicates where the start of the strip begins.
100. You can use the same rule as before (that
is, use the two

physical principles of lightand heat). However, the logic you

need to use is different. Turn on switch 1 for 10 minutes, then
turn off Turn on switch 2 and immediately open the box. Then
you can reason as follows:

LAMP ON?
YES NO
Switch 1 &2
YES turn lamp on
LAMP HOT?
NO
 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calculate your score so far and

see how high you can try...

TOTAL
SO FAR
420 CEREBRAL CHAMP
MENTAL MAULER
BRAINV BRUTE

POSER POWfeRHOUSE

SMART SCRAPPER
TOUGH THINKER
L061C U6HTV\tel6HT

PUZZLE PUSHOVtR
 ROUND 11
Use this page to keep track of your score. Carry your total

forward to the next round of pu2zles.

Answers to Round 11 puzzles ate on pages 156-8.

Your
Category Points Score

^^w
 WORD WEB

Using all the perspex roundels illustrated, arrange

the letters so that ANY downward route from start
to finish will spell out a 4-letter word.

Solve this additional puzzle for 5 bonus points:

How many valid routes are there?

 ROUND II

PICK A POCKET

There two ways of potting this cue ball from

are
the position shown into the arrowed pocket using
three cushions along the way.

What are they?

 CIRCULATION

Mandy Math takes out three over-si2ed coins. '"You

should have seen the vending machine these came
from," she quips. The largest coin is three times
wider than the smallest; the medium coin is twice as
large as the smallest. The smallest coin is two
inches in diameter. She draws lines between the
central points of all the coins.

"I have drawn a line joining the three midpoints of

the coins. Without any further information, tell me
the area of the triangle."
 ROUND II

CYGNET CYPHER

In the Animals Corner of the carnival, you see a

sign besides an enclosure where some of the young
chicks are kept. Can you work out the message?

5SX 631
are
2X 22 58309
birds Ihaltav
Iheir sp
X 809

blue. „ , ,

(20X261^5)'1
laj1hejs.njhe

H6 X
to
proledlhem.
 TRACKING

The rod shown has three holes in it.

Suppose the rod is moved so that the holes at

either end are always touching one of the black
circles. The gap between the circles is equal to the

diameter of either circle.

There are two possible shapes that can be drawn by

the pencil's tracks. What are they?
 ROUND 11

IN PIECES?

Lateral Larry was trying to trick passers-by with an

extravagant claim.

"Last year I went on a certain journey.

"At the end of my travels, I my

discovered that
knees had gone 3 yards further than my feet, my
torso had gone 3 yards further than my knees, and
my head had gone 3 yards further than my torso.'*
Given that his journey was a long haul, can you see
how Larry can justify his claim?
 SERIAL SERIES

This sequence of numbers was calculated using a

well-known and the subtraction operation.
series

Can you work out what the originating series is?

to

t>
rf
 ROUHD n

ALL SQUARE

At the moment, the lines painted on these cogs

form a square. The larger cogs have 36 teeth and
the smaller ones have 15.

How many times does the arrowed cog turn

clockwise before the next time a square is formed?
 STEP ON UP

Fill in the staircases using the clues provided. The

phrase "MY ARRANGEMENTS GLUE ON" will
help you in both cases.

Negative

Month
Teeth holders
Royal

Bank note (slang)

Activated

Tropical vegetable
f^
Looking self-satisfied

Alcoholic drink

Cheese maker?
 ROUND 11

THREE IN A ROW

"Here's one that's a bit different " challenges

Mandy Math, holding a blackboard showing six
circles (see below). **There are many ways in which
you can draw a straight line through exacdy three
circles. Adding these three numbers gives a total.

The line given as an example totals 22."

How many different totals are possible in this way?
101. Placing the roundels on similaily shaded spaces, we get:

There are 12 words that can be formed (cart, cast, cask, mart,
mast, mask, must, muck, mmk, bust, busk, buck).

102.

103. It canbe seen from the diagram that the triangle has sides
of 4 and 5 inches. This triangle is well-known for being right-
3,

angled because it is a Pythagorean triplet (because 3^+4 =5^.

Hence the area is '/a x base x height = 6 square inches.
104. The sums are used to form well-known "Upside-down
calcxilator" words. As an example, 56 x 631 = 35,336 which
looks like this on a calculator when upside-down:

Continviing this for the other sums, the following message is

formed:

SSSSB are BlSSLSh birds that lay their speckled,

green £ 9 9 S in nests. Those of the S h E 8 1 L L are
E99ShELL blue. (8(585 lay theirs in the 5 ( L
using their 8E L L ( E 5 to protect them.

105. It's pretty obvious that a central circle can be traced. But the
other shape is an infinity sign:

106. He had been on a round-the-world trip. This meant that his

feethad journeyed around the Earth with radius R, say. His
torso was on a circle of radius R + 3 feet, and his head on a
circle with radius R+ 6 feet. This explains the extra distances.

107. The series is formed from the differences of consecutive

pairs of prime numbers. The best clue is that the first number is
the only odd number because 2 is number and
the only even all

successive differences are between odd numbers.

Piimenos. 2 3 5 7 11 13 17 19 23...
Sequence 12 2 4 2 4 2 4...
108. After three turns (not twelve). After moving all the cogs
throu^ 45 teeth, the situation is as below. Notice that the lines

are in a different orientation now. If the lines had to be in

exactly the same position as well, then the answer would have
been twelve.

109. This puzzle is a lot easier if you realize the two pyramids
have something common. The letters in
in the phrase "My
arrangements g^ue on" make up the words in either pyramid.

1 10. Six totals can be formed:

 ROUND 12
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answets to Round 12 puzzles are on pages 170-2.

Category
 TAKE A LETTER

Take from the outside. Then add it on to

a letter
either end of a 5-letter word, using a clue from the
ring. This should give you one of the objects inside

the circle.

How do the four letters, clues and pictures match

up?

^ V/s VKlV'.A^^ '^

 ROUND 12

DOUBLE CROSSED?

"Have a look at this puzzle," says Lateral Larry.

**There are eight crosses that need to be placed in
this grid. As you can see, I've already done five of
them for you.

"Iwant you to place the remaining three crosses in

any of the boxes so that the number of crosses in
every row, column and the two main diagonals is
the same.

**Now, I can't make it any easier than that, can I?"

he says, smiling.
 ^

SORT THE SNACKS

Baker Bill is setting out his food stall to feed the

hungry fairground visitors. He has cookies,
doughnuts, buns, pies and pizza slices - five of
each. How can he arrange his wares so that the
same item never appears in the same row, column
or compartment?

3i!fr"'"

I .,-
^ .^^^. .
^^ It lifiiriiniiiiiiBitriiim
 ROUND 12

WORD RUNES

Mystic Molly has some more runes for use in the

next challenge. ^'When I place the runes like this
(see below) I consider this to read as ORES, in the
usual left-to-right fashion, on die black ring.

"How many moves would it take for you to slide

the runes from circle to circle so that the word
EROS can be read in the same way?" she asks.

Solve this additional puzzle for 5 bonus points:

How many would it take for ROSE?

 PICK YOUR PRIZE

Sideshow Sid has a new game. "Here are twelve

prizes. You and I take turns to take one prize or
two consecutive prizes. The person to take the last
prize wins them all."

Given you have the choice of going first or

that
second, what strategy should you employ?

7^-

7^-
 ROUND 12

CHILD'S PLAY

The letters blocks below are rather remarkable. Not

only can they form three different 8-letter
anagrams, but in addition these three words are all

related to family Ufe, childhood in particular.

Firstwork out what these three words are. Then

say which word can be spelled out from left to right
using the fewest moves. A move consists of
swapping a pair of letters in the row.
 THINK OF A NUMBER

Mandy Math asks you to think of a number. "OK,

now multiply it by four. Then add two. Finally,
multiply the result by five. Now tell me what your
total was."

Amazingly, as quick as a flash, she is able to tell you

the number you first thought of.

What is the simplest rule that Mandy could use to

work it out?
 ROUND 12

HOOPLA

What would you you looked at this hoopla

see if
ring and cone from directions X and Y?

I
 SHAKE ON IT

A group of girls have met up at the fairground for

a class reunion. Everyone shakes hands with
everyone else there. Two people shaking hands
counts as one handshake.

Given that the number of people there is even, can

you deduce anythmg about the number of
handshakes that have taken place?

What could you say about the number of

handshakes if the number of people there was a
multiple of 4?
 ROUND 12

THREE QUARTERS

'*Want to win some money?" asks Sideshow Sid.

"Silly question I suppose," he says, "although there
are a lot of conditions you must obey in this game.

"Here are three American quarters. You may touch

and move the one on the left. You may touch but
not move the middle coin. You may move but not
touch the right-hand quarter. Got that?

"Now, I'll let you keep a coin if you can get it to

pass to the right-hand side of the dotted line."

What would you do?

t t t
CAN
111. The four words are B+ARROW, H+ANGER, RABBI +T
and C+LOVER.

112. It soon becomes evident that you can't put three crosses in
three different boxes to achieve the desired effect. However, as
the tide of the puzzle implies, if you put a "double cross" in one
square, then there would be two crosses in every row, column,
main diagonal (and even every quadrant of four squares).

113. Representing the goodies with the letters A to E, the

following pattern satisfies the criteria (there are other solutions):

nBwnmnnpw^
m''9mmtm>^^''!'mif''^''''^V')'t!>iw^'f^f!>''fW'fii!9^i'im

! D
114. A simpler way of representing the rings is:

2(r)(e)3

6( 1 )5

where circles 1 to 4 currently read ORES (the starting position)

and circles 5 and 6 are spare. We can move a letter into any of
the adjacent circles. We use the notation Rl to mean "Move the
R into circle 1". To get EROS takes ten moves: S5, S6, 04, 05,
E4, El, 04, 03, S5 and S4. To get ROSE takes twelve moves:
S5, S6, E4, E5, 04, 03, SI, S4, Rl, 02, S3 and finally E4.

115. You choose to play second. Whatever pri2e(s) your

opponent takes, you take the pri2e(s) on the opposite side of the
circle. Whatever your opponent does destroys the symmetry of

the circle, and whatever you do restores it. This forces your
opponent to leave you with the last prize.

116. The words are PRENATAL, PARENTAL and

PATERNAL. Of these, it only takes four swaps to get from the
start position to PRENATAL:
117. Suppose the number you thought of was x. Multiplying by
four then adding two gives us 4vf 2. Multiplying the result by
five gives 5(4x+2). We need to rearrange this slighdy:
5(4x + 2) = 20:5^ + 10 = 10(2:)^ + 1)

Therefore, to get back to x, Mandy takes your total, ignores the

zero at the end, subtracts one, then halves the answer. For
example, if your end total was 150, Mandy would think of 15
less 1 divided by 2 = 7.

118. View from X: View from Y:

119. You caimot deduce anything about the number of

handshakes if the niunber of people is even. However, if the
number of people is a mviltiple of 4, the number of handshakes
must be even (but not necessarily a multiple of 4).

120. Press down on the middle coin with a finger from your
right hand. Take the left-hand coin and slide it brisklytoward the
middle coin. The momentum will transfer through to the right-
hand coin and shoot it over the Une. fThis principle is used in
the Newton's Cradle executive toy.)

You can now pick up that quarter. And, because you can move
and touch the left-hand coin, you can now move that one over
the line by hand and pick that one up too!
 ROUND 13
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 13 puzzles are on pages 184-6.

Your
Category Points Score

121.JIGWORD ^ <()>

PYBEATHS *r^

**^
125. L-PLATES
||p4<X)MPLEXCAIXMJVnO^^
^
^^ C^
125. ON TARGET
126. HORSING AROUND

^ OR127. KNOT, NOT? ^

^ m NUMBER PYRAMID ^
^ ON THE RUN
129. PIGS

^ AND MELD
130. MDC "^
TOTAL FOR THIS ROUND <^^^^

+ Bonuses (5 points each) <r

^
+ Running total from previous round <^ ^

TOTAL SO FAR
(cany forvard to next round)
 JIGWORD

Your aim is to construct a word square. This is

done by interlocking the jigsaw pieces into the
frame.

Clues to all eight words are given at the bottom of

the page, but in random order.

E^ElKJ eihi>
^
Ones - Song, Piece of stone. Knife,
Little dog, E)ecorative ball.
Curve, Like,
Musical instrument
 ROUND 13

HAPPYDEATHS

**WeVe had many unwelcome visitors to the

carnival," begins Lateral Larry. "Hugo was heading
our way in 1989 but fortunately he died before
reaching here.

"Likewise, Andrew was due to arrive a few years

ago and the same fate befeU him."

Can you work out why Larry is particularly pleased

about these deaths?
 L-PLATES

Baker Bill uses L-shaped plates in his cafe. 'They're

brilliant for side orders!" he explains. He can place
six plates on one table (which is covered by a
checkerboard tablecloth), leaving a square in the
middle.

How else can the plates be arranged so that a

different square is left empty?
 ROUND 13

\2aM^omplex calculationsW^iq'

can be formed by

(87+l)-i-4 = 22

Note that, in the examples above, the digits are

used in clockwise order. What calculation can
represented by the following?

Solve this additional puzzle for 5 bonus points:

j0^f

What is the OTHER solution to the above question?

 ON TARGET

Sideshow Sid has a game of skill for visitors to his

stall. Contenders are allowed three throws of a

dart. They win a prize if all three throws hit the

dartboard and the total forms a prime number.

What chance would you have of winning, given

that your darts were thrown at random but all hit
the board?

The three areas shown are of equal size.

jS^r Solve this additional puzzle for 5 bonus points:

How many different total scores are there under these

circumstances?
 ROUND 13

HORSING AROUND

How can the white knight reach the finish square in

the fewest possible moves? Throughout the
journey,it must not land on a square where it could
be captured by one of the black pieces.

FINISH
 KNOT, OR NOT?

Visual Vem shows you a picture. "Have a look at

this. Now this is the simplest knot known. It's
called a trefoil knot by mathematicians, and you can
probably work out for yourself why. It is a knot

because there is no way of untangling it to make a

loop, unless you resort to scissors.

"Now, you'll notice that the knot has three

intersections where the string crosses itself
Suppose I make knot so that there is an
a trefoil
equal chance of the string going underneath or
over the top at each jimction. What is the chance
that the result will be just a loop?"
 ROIMD 13

NUMBER PYRAMID

By taking bricks one-by-one from the top of the

pile, form a correct sum.

@
@@
 PIGS ON THE RUN

This pig is looking particularly

smug. He and a friend are being
chased by two farmers. The
farmers and pigs take turns to
move one square (horizontally
or vertically) with the farmers
moving first.

It appears the pigs can't be caught, but then the

farmers think of a ploy. What would that be?

i
 ROUND 13

MIX AND MELD

Wordsmith Will has another of his verbal puzzles.

"Not too hard, this one/' he says. "All you have to
do is take two of the words in each line and
anagram them to form a synonym of the third
word.

"Fll even give you a head The answer to the

start.

row is FOLKLORE
first (ROOK + FELL) which
means the same as MYTH."

ROOK MYTH FELL

COIN LOUD BOON
RIDS SETS FEAR
ML rn^A^ gi&9@

KISS STAR RATE

OVAL Tia EPIC
121.

122. Andrew and Hugo were hvirricanes.

123. It is possible to leave any one of the four comer squares

uncovered, like so:

124. First of all, you must establish that, in addition to the four
basic mathematical operations, concatenation (that is, placing
two or more digits side-by-side) is also allowed. The two
possible solutions are:

384 -r 2= 192
3x8x4x2=192
125. l-in-27. There are three possibilities for each of the three
darts, leading to twenty-seven different, equally likely

permutations. Suppose all three darts land in the "1" zone. This
totals 3, a prime number. If one, two or all three darts move into
another segment would add 3 or 6 per dart to the score. No
this

matter what the exact details, this would mean the total would
then be divisible by 3. Hence, 1 +1+1 is the only prime total out
of the 27. Bonus answer: There are seven different scores.

126. The easiest way to solve this is to cross out all the squares
which are being attacked by a black piece and then work out
your possibilities from the Finish back to the Start:

FINISH

127. There are 2X2X2 = 8 possibilities. Of these, only two

are knots. This occ\u:s vjhea the string always goes over the top,
or always goes underneath itself, as you follow the string around
the loop.
|N
 ROUND 14
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 14 puzzles are on pages 198-200.

Your
Category Points Score

^ 131. WORD WEB

 WORD WEB

There are three 7 -letter words that can be made

with the letters E, H, N, O, R, S and T. Place them
in the diagram so that any of the three words can
be traced from circle to circle without skipping any
letters.
 ROUND 14

WRITE SOON...

A man was writing a large message, slowly and

carefully, to welcome visitors to the carnival.

Unfortunately, a large storm was brewing and he

had to stop just as he was halfway through a letter.
Although this was a shame, his life would have
been in some danger if he had not stopped.

In what circumstances do you think this happened?

 SHELL AND SPELL

Spell out the names of three shells. The letters

spiral towards the outside.

 ROUND 14

PAINTPROBLEM

Colin the Clown has a square window in his

caravan which is 3 feet wide. Unfortunately Daft
Dennis, hisroom mate, wants to paint half the area
of the window with blue paint.

*T)on*t do that," pleads Colin, "I like the window

the way it is."
Dennis calms Colin down. *T)on't be silly. Once
I've finished you'll will still have a square window 3
feet high and 3 feet wide."

How can this be achieved?

 TRIGRAPHS

Using the clues provided (which are in no particular

order),complete all the words. Each word is the
only word in the English language to contain the
sequences of three letters shown.

Clues:

Criticalfailure

Shavings

Piece ofjargon

Fruit

Aubergine
 ROUND 14

RUNES

"I need your help for this puzzle," says Mandy

Madi. "If I join togedier three dots on a circle, I

can only make one shape - a triangle.

"If I use four dots, I can make three different

shapes. To keep things simple, we'll say that shapes
that are the same except for a rotation are counted
as different.

"Fll also tell you do the same with five

that if I
dots, there are twelve possibilities. Can you tell me
how many combinations there would be, still
counting rotations as different, if I used six dots?"
 TRULYMAGIC

"Roll up, roll up for my latest confounding number

pu2zle," exclaims Lateral Larry. "Challengers must
complete the magic square so that nine consecutive
integers have been usedand every row, column and
both diagonals add up to the same value.

"To win my game, you must provide two different

answers. IVe started you off As a free hint, I'll tell
you that the totals in each square will need to be
different."

HDD DDD
DDD DDD
DDD DDD
Solve this additional puzzle for 5 bonus points:

How many other solutions are there?

 ROUND 14

BUG RUN

The children in the Animals Comer were watching

the antics of Bob the Bug. He wants to get over to
the other bank but his movements need to be
surprisingly logical (for a bug).

Each symbol represents a different direction (either

left, right, up or down) and these decide where Bob

must move next.

Can you work out the directions the symbols
represent given that Bob was able to cross the
chasm without standing on a skull square?
 SKEWERED

Baker Bill is setting up his barbecue. He is heating

up a number of skewers. The skewers come in
different lengths, so each one crosses the path of
several other skewers, as shown by the numbers on
the diagram.

Can you use logic to deduce how the skewers must

be arranged?

6/-
t $ t
-^
€>-
-3
6/-
-e
IB vi) vi)
 ROUND 14

CRACK THE CLOCK

Using any number of straight lines, it is possible to

divide up the clock face so that each section
between the lines adds up to the same total.

How many different totals can be formed in this

way?
131. The words are HORNETS, THRONES and SHORTEN.
You can deduce diat the H will need to be in a circle with four
connectors because it must be next to the O, T, R and S (looking
at where H appears in the words above). Repeating this for the
other letters greatiy reduces the combinations possible.

132. The man was a skywriter.

133. RAZOR, SCALLOP and CONCH can be read.

134. Dennis painted four triangular areas, as shown:

135. The words are RASPBERRY, BUZZWORD, EGGPLANT,

MELTDOWN, SAWDUST.
136. The answer is 60. Suppose we draw a diagram from points
1, 3, 4, 6, 5, 2 (and back to 1). This diagram would look the same
if we had chosen 6, 5, 2, 1 , 3, 4 (and back to 6) because we have
just used a different start/ finish point for the same sequence. So
we need only concern ourselves with how we choose five points
in the route. At first there are five points to choose from, then
four, then three etc. So there are 5x4x3x2x1 = 120 routes.

Diagrams also look the same if we reverse the route. Hence we

get the answer 120 / 2 = 60. For n points, the number of
possible diagrams is given by the formula (n - 1)! / 2.

137. There are two possible solutions (and hence the answer to
Bonus question is "None"). The key to the puzzle lies in
"consecutive integers", which permits the use of negatives. By
trying different possibilities for the middle number, one can
deduce that the numbers to 8 cannot form a magic square with
a total of 12 (although you can get very close - a diagonal line
adding up to 15 spoils it).

BBW
m fsm
HHa =
mmm =
Total 15 Total 9

1 38. Up = Star, Down = Pentagon, Left Diamond, Right =

Oval. This permits the following route:
139.
(^ (^ (p

O
^^^ i
140. The secret is symmetry of the clock and
to exploit the pair

up the numbers into There are three possible

13s.
configurations, giving totals of 13, 26 and 39:
 ROUND 15
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 15 puzzles are on pages 212-14.

Your
Category Points Score

^^m
 WORD GRID

To win the game, use the letter pairs provided so

that nine 4-letter words are made in the completed
3X3 grid. The same letter pair may not appear
twice in any row or column.
 ROUND IS

DON'T BELIEVE IT

"One of these hexagonal boxes contains a prize.

But ril let you into a secret," confides Lateral Larry.
'*Three arrows allow you to reduce the number of
possibilities to a prime number. The fourth arrow is

not needed and should be ignored."

Can you work out which arrow is unnecessary and

therefore which boxes haven't been discounted?

Example
If this arrow is required, then
the five shaded hexagon
can be discounted.
 STREET PLAN

Chester the Taxi Driver due to drive from (A) to

is

the carnival (C) to pick up some of the fairground's

visitors and take them home. However, he would
dearly love to stop off at his house (H) for a quick
cup of coffee first

How many of the 70 shortest routes from (A) to

(C) passby his house? Choose from: (a) Less than
50%, (b) Exacdy 50%, (c) More dian 50%.

Skyscraper

m Solve this additional puzzle for 5 bonus points:

Using the same journey from (A) to (C), what ate his
chances of passing by (H) and his mother's house (M)?
 ROUND 15

NEW DEAL

Marvin the Magician has just shuffled a deck of the

thirteen Hearts cards. **Watch this," he says. He
deals three cards from the pack, face down. *Tum
them over," he asks.

As you do so, you reveal the Two, Nine and Queen

of Hearts. '^Notice that they are in ascending order

of value. Now I'll deal out five cards this time." He
replaces the three cards in the deck, shuffles it, and
deals five cards onto the table, keeping them face
down for the moment.
What are the odds that these cards have been dealt
in ascending order?
 ^ <

ROLL OVER

Which two of these "nets" could Mandy Math glue

together to give her two standard gambling dice?

Don't worry about the orientation of the dots.

"^Z"

<r
B "V^
• ••
• ••

>

® >^
• •

Z<
> <r ~v V ••
•
y
• ••
y^ -<
• •

>> —
•••
>> — •••
 ROUND 15

LETTER SHOT

Sideshow Sid runs a darts stall. One of the lettered

cards has a pri2e on the other side. Hit that card
and you win. Sid makes an offer: "For $50 Til
indirecdy tell you what the winning letter is by
revealing the answers to these three questions:

(a) Does the letter live in the first half of the

alphabet?

(b) Is the letter is made up of straight lines only?

(c) Does the letter's shape enclose an area (as in Q

and D but not H nor N)?"
How caix you deduce which target to aim for
without paying Sid a single cent?

Aj [BJ [CJ |DJ [E

Pl^fRlFsirF
 NUMBERJIG

This number jigsaw shows two ways of reaching

the number 12.

Suppose the plus sign is changed to another

multiplication sign. How could you rearrange the
pieces so that the jigsaw is mathematically correct
once again?
 ROUND 15
^"^^''^^^ ''^''''°^''^
WORD ASSOCIATION

What word would logically fit in the middle box?

 WIN THE WINE

In order to win the game you need to place a

fourth bottle of wine so that it is equidistant from
the other three and over six inches above the table.
Use the four flat pieces of wood available. The
planks are all the same length, but not quite long
enough to bridge the gap between any two botdes.

How do you do it?

Top-down view

Perspective view
 ROUND 15

NOTA-LLOWED

"I once appeared on a game show" boasts Lateral

Larry. "I was in the final round and was feeling
pretty confident. That was until the question master
read out the Big Prize question.

"He said, 'You have one minute to name one

hundred words which do not contain the letter A.'
My first reaction was *How on earth am I supposed
to do that?' But after thinking for a few seconds, I
managed to win the prize."
Can you work out Larry's answer?
141. FL, ST and CR can be used as prefixes for any of OP, EW
and AY, giving the following nine words:

142. The arrow on the far right is unnecessary. This leaves three
boxes to choose from. (If you choose any other arrow as the
false one, you leave yourself with six boxes, wdiich isn't prime.)

143. There are six routes from A to H. There are six routes from
H to C. So there are 6 x 6 = 36 routes from A to C via H. Hence
the chance is 36/70, which is just over 50% so (c) is correct.

Bonus puzzle: 6/70, because there are only 6 routes from A to C

via H and M. When he gets to H there is only one shortest route
£com H to C via M.
144. There are 5 X4 X3 X2 X1 = 120 ways of ordering the
cards. Of these, only one has the cards appearing in ascending
order. So the answer is l-in-120.

145. B and C are correct, because their opposite sides wiU add
up to the traditional seven. In A, the 5 and 6 are transposed. In
D, 1 and 2 are transposed.

146. "A" the answer. It is given that you narrow down the field
is

to one you know the answers to the questions. We can see

if

that the winning letter must be the one that is alone in its box.

In first half of
the alphabet?

Has straight Has straight

lines only? lines only?

iF^x:
Encloses
^_z^
Encloses Encloses
an area? an area? an area?

11 11N OyY
B C S
D G T P u
J V Q
W R
X
Y
147. Although you can't use the usual trick of turning the 6 and
9 upside down, there's no reason why you can't swap the pieces
over. This gives 2X9=18=6X3.

148. The word in the box should be... BOX! The words on the
leftcome before BOX (Coin box, fuse box, letter box, black
box, wine box). The words on the right follow BOX (Box
camera, box girder, box number, box seat, box car).

149. Use three pieces of wood to make a self-supporting bridge,

as shown. Who said you needed to use all four?

Placefourth
bottle here

150. Larry said, "ONE, TWO, THREE ... (and so on), ONE
HUNDRED!"
 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calculate your score so far and

see how high you can try...

TOTAL
SO FAR
630 CEREBRAL CHAMP
MENTAL MAULER
BRAINY BRUTE

POSER PO\iteRHOUSE

SMART SCRAPPER
TOUQH THINKER

LOGIC UGHTVi^EIGHT

PUZZLE PUSHOVfeR
 ROUND 16
Use this page to keep track of your score. Carry your total

forward to the next round of pu22les.

Answers to Round 16 puzzles are on pages 228-30.

Category
 zs:^

NUMBER NUMBSKULL

The code grid contains 16 mathematical symbols.

Use it to decode the three sums below. For
example, if a box contains A and D, it must
represent either a 1 or 8.

A B c D
A+
B
C
D
 ROUND 16

MISSING LINES

These circular stones contain some symbols. Add

four straight lines to make a 9-letter word. (You are
not allowed to rearrange the stones.)

Solve this additional puzzle for 5 bonus points:

If that puzzle was too easy, add five lines (one of which
is curved) to make an 8-letter word. You are not allowed
to change the order of the stones.
 /liZl

NATIONALITY

At the entrance to the carnival there are a number

of flags which welcome visitors from foreign lands.

These three flags are quite unusual, in that they

spell out the names of the countries. Can you work

out why these countries have been grouped
together in this way?
 ROUND 16

CHILLED CHOICE

You need to place ice-creams in this rack. There are

three sorts of ice-cream - vanilla, strawberry and
chocolate. There are also three types of cone -
standard, sugar, and chocolate-coated. There is one
of every possible type, making nine ice-creams in
all.

The same type of ice-cream or cone doesn't appear

twice in any row or column.
The stall holder knows where each ice-cream
should go, and you can point to a position in the
grid and ask '*Which sort of ice-cream goes here?"
or **What type of cone lives here?"

What is the maximum number of questions you'd

need to ask so that you know where to position all
the ice-creams?
 DOGGED
DETERMINATION

As Cha2 was riding the rollercoaster, his watch fell

off his wrist Luckily, he managed to find it.

Unfortunately, it landed five yards away from a

vicious dog tied by a ten-yard rope to a pole. No
matter how quickly he tried to dodge, the dog
followed him step-for-step.

There was no way Chaz was going to try to push

past the dog - he looked a bit too hungry for thati
But after a litde thought, he was easily able to
retrieve his watch.

How did he manage it?

 ROUND 16

SHAPE UP

These nine symbols can be ordered in a certain

sequence so that a mathematical progression, using
the four basic arithmetic signs in turn, is formed.

However, in addition, the sequence also possesses

two other forms of logic which will help you in the
construction.

Free hint: Start with the circled 3. Also, the number

3 is used in the logic for the number series.

ODA
 SPOT THE SILENTS

Each of these words contains a silent letter (such as

the T* in PSALM). Pick out the sUent letter in each
case and you'll spell out a popular item at parties.
 ROUND 16

SEQUE-N-TIAL

Can you fathom out the logic of this series and

thus provide the next number in the sequence?

3l|37t^^|4l|47g9
28
2.
10 1113 14
26
25
^ 15
16
7 1

24
23 22t^i)|20 18
 PIZZA PIECES

Brothers Alberto and Luigi are about to eat their

pizza. Unlike most people, they prefer to eat the
crust. They make two cuts at right angles to one
another, as shown below. Alberto will take pieces A
and C; Luigi gets pieces B and D.

In how many ways can they cut the pizza so that

each brother gets the same amount of crust on his
pieces of pizza?
 ROUND 16

SHADOWY FIGURES

Visitors to the fairground can have their silhouette

cut out in a piece of black paper for a small sum.
Unfortunately, these silhouettes of a man and a
woman have been cut up into pieces by accident.

Can you say which pieces belong to the man's

silhouette?
151. The eqxiations are: 4=8-rV4
7 + 4 = 11
(6x3)-9 = 9

152. Add foiii lines to make:

Bonus pvizzle:Although you could not change the order of the

stones, in this puzzle therewas nothing to stop you turning the
last stone upside down!

153. The

naDD
flags of each group of countries are very similar:

154. You'd need to ask five questions. Let's represent the ice-

creams by S, C, V and the cone types as 1, 2, 3.

Concentrating on the ice-creams first, we ask **What kind is in

the top-left comer?" Suppose the stall-holder says vanilla. The

other two vanillas are on either diagonal
of the shaded square. In the worst-case
scenario, we'd need to ask for the V
positions of two other, different, kinds

(because if we asked **What kind of ice-

cream?" for a square already containing
vanilla, we don't get any extra helpftil
informatioa).
V
159. Believe it or not, any two cuts at tight angles would do. For

example, you moved the horizontal cut upward, you would be

if

reducing the amount of crust in A but adding just as much back

in C. likewise for B and D.

160. Pieces A, B, D, G and I make up the man; the others make

up the woman with the umbrella.
 7

ROUND 1
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 17 puzzles are on pages 242-4.

Your
Category Points Score

^ DOMINO161.
^ PYRAAOD
^mim)KNIGHTHOLIDAY <>
^ 63.
^
LINK-SEARCH

^ 64.IHACIRCLE
65. IN SHAPE
^
66. TUNNEL VISION 4^
67. STEPPING SUMS w
^ 6aANICESUCE ~ ^
^ 69. MIRROR IMAGE
It^ Pl^iWIHDRON Dlcm

TOTAL FOR THIS ROUND <^^^^

+ Bonuses (5 points each) <r

^
+ Running total firom previous round

TOTAL SO FAR
(carry forward to next round)
 DOMINO PYRAMID

Mandy Math is a little annoyed. "Some practical

joker has glued my set of dominoes together."

You look down onto the table where there is a full

set of 28 dominoes, glued tighdy together into a
pyramid shape.

By looking at the diagram carefully, can you

determine how the tiles were assembled so that you
can tell Mandy where she needs to chisel her

beloved dominoes apart?

 ROUND 17

TWO KNIGHT HOLIDA

Wordsmith Will is playing with his chess pieces

when he offers you a challenge.
"Suppose I place the white and black knights here.
If you were to move the black knight eight times
you would spell out the name of an 8-letter
country."

Which country?

Solve this additional puzzle for 5 bonus poiats:

The same thing can be done with the white knight.

Which country does it spell out in 8 moves?
 LINK-SEARCH

The words in the grid below have been circled

because they can all be associated with the word
**BLUE*'. Using similar associations, circle other
groups into lines of three or four words.

Which groups are formed, and which word is left

out?

r-- _ - - _ -J ^..-. ~ ~
~i f "" 1 f"
"

1
BERRY ji BELT ij HE \\i
 ROUND 17

IN A CIRCLE

How can you find the midpoint of this circle using

only a pendl and the right-angled set square
provided?
 IN SHAPE

Draw a circle in the diagram below so that it

contains exactly one of each type of shape except

the circle (i.e. the triangle, square and hexagon).

Likewise, draw a square which contains exacdy one

of every shape except the square.

And using the same logic, draw a hexagon and an

equilateral triangle.
 ROUND n

TUNNEL VISION

one of his stories. "I was once

Lateral Larry relates
in thearmy and one night we decided to have a
night on the town. Unfortunately, the only way out
of the underground camp was through a long
tunnel which took ten minutes to travel, even if
you ran.

**Worse still, there was a guard who would come

out of his hut every five minutes to check that no
one was escaping, and to send back anyone arriving
without the correct papers.

"Luckily, we thought of a way to get around the

problem, although we had some explaining to do
when we got back!"

How did Larry and his pals go AWOL for the

night?
 STEPPING SUMS

Mandy Math has made a new game for her

Number Cruncher carnival stall. Contestants start

on the square indicated and must jump from square

to square using a mathematical sequence.

On getting to the Finish square, the contestant

must then choose one of nine prizes, numbered
from 1 to 9.

What route should you take, and what prize would

you opt for? (At one place along the route it is

necessary to "skip" over a square to continue the

sequence.)

14
 ROUND 17

A NICE SLICE

Luigi and Alberto are back, eating more pi2za. They

have akeady eaten three of the pizzas from the tray.

Now they want to put a straight slice right through

the tray so that it divides the pizzas fairly.

One solution is a horizontal slice through the tray.

How else could you cut the pizzas to ensure the

areas on either side of the cut are equal?
 MIRROR IMAGE

Match up the ropes (A, B, C) with their mirror

images (1,2, 3).
 ROUND 17

DECAHEDRON DICE

"Here are three ten-sided dice. Each one has the

digits from to 9 on its faces made up of 10 equal-
shaped pentagons," explains Mandy Math.
"I have two of the dice and you take the third. We
roll the three dice together. If the value on your die
isbetween the two values on my dice then you win
the game.

"It's no good if your die equals one of my dice - it

has to be precisely between the two values. So, if

my two dice come up with consecutive numbers or

exactly the same number, I'm sure to win that
game."

What do you reckon your percentage chance of

winning this gamble is?
 it looks. Every square must be accounted
161. This is easier than
for. you examine the comer dominoes these must be
So, if
horizontal (otherwise squares would have to be omitted).
Likewise for every domino up the sides, as shown below. This
leaves you with a smaUer pyramid for which the same applies. So
all die dominoes were glued together horizontally.

162. The black knight spells out PORTUGAL. The white knight
spells BARBADOS.

163. LIGHT is the undrded word.

GREEN WHITE

YELLOW-

'BLUE
164. Mathematicians say that "A diameter of a circle subtends a
ri^t angle on the circumference". To put this into plain English,
imagine a circular pool table. If you strike a ball ficom the
cushion, it will always make a ri^t angle dien hit the cushion on
the very opposite of the start position:

Therefore the way to find one diameter of the circle is to place

the right-angle on the circumference and mark the points (A and
B) where the set-square cuts the circumference. Draw a straight
linebetween these two. Repeat the whole process. The
intersection of the two Unes will give you the circle's centre.
166. The men ran halfway into the tunnel then turned back. The
guard would see them approaching and think they were visitors.

The soldiers pretended they were visitors but, because they had
no paperwod^ the guard would "send them back" on their wayl

167. The correct route is an arithmetic sequence of 4, 8, 12, 16,

20, 24, 28, 32, skip over to 36 and finally 40. The contestant
should choose prize 4, because the number was used in the
sequence, not to mention the route taken!

14
72
11x2
-46

L^ Z3
^I2x3
I
168. Any slice through the upper black dot would cut pizzas 1 to
4 into equal areas. Likewise for any slice through the lower dot

for pizzas 5 and 6. Hence slice through the dots:

169. They match up as follows : A & 3, B & 2, C & 1.

170. Call your die A and Mand/s dice B and C. We need A, B

and C to be different if we are to stand a chance of winning.
The probability that A is not equal to B is 9/10 and the
probability thatA is not equal to B nor C is 9/10 multiplied by
8/10 72%). So there is a 72% chance that A, B and C are all
Ci.e.

different Becavise any die is equally likely to be the middle value,

we divide by three to get the answer of 24%.
 ROUND 18
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 18 pu22les ate on pages 256-8.

Your
Category Points Score
 DIGITATIONS

These segments each have a letter on them. To win

the game, choose four letters and shade every
segment bearing one of those letters. This will lead
to the formation of a calculation ending in the
answer 23.
 ROUND IS

ON THE TURN
OF A CARD

Each of these cards has a golfer or tennis player on

one side, and a tennis or golf ball on the other side.
you **Which of these cards
Lateral Larry asks
would you need to turn over so that you can be
sure that every card bearing a tennis ball has a
tennis player on the opposite side?**

^ />-
 SHARP SHOOTING

Sideshow Sid's Shooting Stall has a couple of

wheels which have a number of ^lialf targets". Sid
will offer a large pri2e to anyone who can shoot a
whole target while it is momentarily together with
both sides the same shade (unlike the current
position shown below).

The wheel revolves clockwise at 30 revolutions

left

per minute. The right wheel rotates

counterclockwise at 45 r.p.m.

In how many seconds from now should you fire

your bullet?

30 r.p.m 45 r.p.m.

Shoot when complete

and both halves are same
 ROUND IS

CAVALRY TO THE
RESCUE

Lateral Larry has another one of his devious chess

puzzles waiting for you. "It doesn't look good for
White, does it? If it were Black's turn to play next,
his Queen can take the White Bishop and it's
checkmate.

"Luckily, it's White's turn. How can he win on his

next move?"
 POOLING RESOURCES

An attendant is adding chlorine to the brand-new

swimming pool been built. She has an
that has
accurate measuring device which displays the
concentration of chlorine in the water. Currently it

reads zero.

The label on one pint of

the packaging says that
chlorine solution must be used for every 500 pints
of water. Unfortunately, she has no idea of the
pool's dimensions nor how much water is in the
pool.

No matter, since the attendant was able to use the

exact amount of chlorine without measuring the
pool. Furthermore, she only needed one
concentration measurement. How did she do it?
 ROUND IS

A PERFECT TRIANGLE

**This mangle is very special," explains Mandy

Math. '*The three sides and the perpendicular are
four consecutive whole numbers, and there is only
one number for which this happens.

**To win the game you must tell me what value x is.
As this is a difficult pu22le, I'll giveyou a free hint.
All the numbers are less than 20, and you can try
performing Pythagoras' Theorem on the left-hand
triangle."

x+1

x+2
(drawn to scale)

Solve this additional puzzle for 5 bonus points:

Find another method to solve the above puzzle.

 HALF EMPTY,
HALF FULL?

"You know the old adage about pessimists and

optimists," muses Visual Vern. "Optimists look at a

botde and say that it is half full. Pessimists say that

it is half empty.

'Well, here's a botde. Using nothing more than

your hands, tell me precisely whether it is over or
under half fliU."

How can you perform this feat without using any

measuring equipment?
 ROUND 18

VERYE-ASY

Wordsmith Will is hard at work in the Verbal Vault

with his new word game.

"This puzzle is one of my 'ee'-siest yet!" he

proclaims. "For each row and column, choose the

consonants in order so that they fill the blanks to
form a word. No consonant is used more than
once.

"What are the 14 words?'

©®©®©®® -E-E E_-E_

©®®®®®®
©®®®®®® -E__E_

®©®®®®®
^(H)(R)(^(^CL)a^ EE
-E_EE_
E

w ' W 1^ w w w
W W W
II
will W
I

I
1

I
I
I

w
I

p
M
I
 THE EXTRA BIRTHDAY

Lateral Larry celebrated his birthday. "I was bom

on 10th September 1963 and so today, on 11th
September 1996, 1 am 33 years old.

**The fiinny thing is that my mother assures me IVe

had 34 birthdays. Hey, if you can explain that FU let

you have a slice of my cake!"

Where did the extra birthday come from?
 ROUND 18

PYRAMID WORD

Find the 15-letter word using the clues to help you.

?-$HIRT
PRINTING MEASURE
FOR EVERY
LET IT BE
SCORE
171.Shade in segments beating B, D, F and G. By appreciating
thatmost digital numbers use the right-hand segments, you can
narrow down the combinations. As it happens, all of the right-
hand segments are used in the solution:

^3
172. Cards 2 and 4. Clearly we need to turn over card 4 to see if

there is a tennis player on the other side. We don't care what is

on the other side Card 2 needs to be turned over
of card 1.

because we need had a tennis ball on the

to check that, if that
hidden side, the statement would be false. Card 3 doesn't need
to be turned over — the statement in question does not require
every tennis player to have a particular ball on the other side.

173. Never! In half a second, the left-hand wheel turns a quarter

of a circle, while the right-hand wheel turns three-eighths of a
circle. Numbering the halves every half a second proves that no
two halves of the same shade ever meet:

4y^ ^ ^2
174. White can advance his Pawn to the eighth rank. He could
promote this to a Queen, but that doesn't put Black's King in
check. As a result, Black still threatens checkmate by taking
White's Bishop.

The correct solution is to promote the Pawn and opt to

exchange it for a Knight. This puts Black's King in check and,
because the Rook and Bishop cover all the squares it could
escape to (see diagram), it is also checkmate.

175. Suppose the attendant puts in a tenth of a pint into the

pool. After allowing the chlorine to disperse evenly, she takes a
reading. Let's say the reading shows a concentration of 0.01%.
As the desired concentration is 1 part chlorine to 500 parts
water (i.e. 0.2%) she now knows she must add a further 19
tenths of a pint (i.e. 1.9 pints) to reach the correct
concentration.

176. Because the diagram is to scale, the easy way to solve this is

to measure the lengths of x and x+\.

Suppose the x side
measures 1.8 inches and the x+l side measures 1.95 inches. This
means that 1 unit represents a length on paper of 0.15 inches.
As xis 1.8 inches long, x can be calculated as 1.8/0.15 = 12.
A more difficult way to solve this is to use Pythagoras' Theorem
which states that for a right-angled triangle with sides a, b and
hypotenuse f, then d=l^-\-c.
(176 contd.)

Performing this on the left-hand triangle we get:

x*^ + 6x + 9 = :v^ + <?^

3(2x + 3) = tf'
/. 2x + 3 has a factor of 3
.'.2x must also have a factor of 3
.'. X must also have a factor of 3
Trying values of 3, 6, 9... for xwe find that x must equal 12
because only then does 3(2x+3) equal a square number (81).

If you had a protractor, you could also solve the problem by

measuring angles and using trigonometry.

177. When a bottle is half full, it is also half empty. Place one
thumb over the top of the bottle and the other at the current
water level. Then turn the bottle upside-down. If the water level
is now above your thumb, the botde is over half full.

178. Words across (use black circles): ©©®o©o®

HEDGE, NEEDED, ESCHEW,
GREBE, PESTER, TEPEES, BEETLE.
Words down (use white circles):
RECEDE, SPEECH, WELDER,
CHEESY, LEECH, NESTLE, ®©o©®©©
DEEPEST
0®®®0©0
179. A birthday is defined as "the day on which one is bom or
its anniversary" {Chambers Engksh Dictionary) so Larry has indeed
had 34 birthdays.

180. The word formed is T-EM-PER-AMEN-TALLY.

 ROUND 19
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 19 puzzles are on pages 270-2.

Your
Category Points Score

^ 181. MOVABLE MAZE

 MOVABLE MAZE

This game istwo players who sit on either side

for
of a wall. The aim is for each player to make a
route in the maze so that their ball can be rolled
into the hole on the other side of the wall.

Player 1 has the tile illustrated. If he pushes it into

one of holes A, B, C or D
a tile will fall out at the
other end of the row or column. Player 2 can use
this tile and place it in one of E, F, G or H.
Rotating a tile before placing back into the grid is

not necessary.

How can they win the game with these two moves?
PLAYER 1

PLAYER 2 OV V ^^
 ROUND 19

UN-EQUATED

Two people are near the Equator of the Earth.

One of them is experiencing very dry, still and

sweltering hot weather.

The other is in an area of damp, very windy and

bitterly cold conditions.

How can there be a relatively short distance

between the two?
 STARGAZEYPIE

Baker Bill has made a Stargazey Pie, a traditional

dish from a region of England.

How can he cut up the pie using six straight cuts of

the knife so that each of the four pieces thus
formed contain one of the stars? Each piece must
be the same shape and size.
If hubcap onto the wheel, the arrow
1 is fitted

spells out the name of a fashion accessory whereas

hubcap 2 would imply "following".

What letters are on the tyre?

 RABBIT ON

In January this year, a pair of newly born rabbits (a

male and female) were introduced into the

fairground's Animals Corner.

When any pair of rabbits reach two months old,

they give birth to another pair and keep doing so
every subsequent month.

Supposing that every pair of rabbits was always a

male and a female, how many pairs of rabbits
would there be in December?
 ROUND 19

RING STACK

You catch sight of a beautiful bangle on the arm of

Mystic Molly.

"Oh, one of my nicest accessories," she says.

that's

"It's made from five different materials - ebony,

jade, onyx, mother-of-pearl and agate. I love it so

much I have another four at home which are
identical to this one.

"Here's a litde question for you - how can I stack

up the five bracelets in a column so that no part of
any material is above an identical section of the
same type?"

Solve this additional puzzle for 5 bonus points:

It is only possible to do this with x rings containing

X materials when x is ...?
 GET THE CATCH?

**Take a look at this rope," says Visual Vem. "Can

you see the two nails in the middle? Take one of
them out so that I can free the rope."

You do so. Vem picks up the spiral's two outermost

ropes and pulls them sideways. The rope catches on
the nail. "Too bad, you lose," he says.

He replaces the nail and gives you another turn.

And another. And another. He always pulls two
outermost ropes from the left-hand side but no
matter which nail you pick, the rope never slides
free.

How does the scam work?

 ROUND 19

LINKING RINGS

Each ring spells out a 6-letter word. Each letter fits

into one of the circles on the boundary of the
intersection in which that letter lives. (For example,
the middle *T' will be in one of the three central
circles.)

Using the clues provided, deduce what the words

are.

Clues:
Black ting =
Performer
Shaded ting = Mimic
White ring = Thin fibte
 LOG FLUMES

The carnival owner is designing a new log flume

ride. Because the ride is so popular, people can get
on at A and ride to B, or get on at B and ride to A.

The owner wishes to design the ride so that either

route is equally popular by making them the same
distance.

Remove enough pipes so that two separate routes

are formed.
 ROUND 19

MAINLY MISSING

"I've just devised a truly devious crossword,"

boasts Wordsmith Will. "None of the words have
clues, and most of the letters are missing.

"OK, so how you supposed to solve this? Well,

are
the missing letters are either A, E, I, N, R, S, or T
and each one is represented by a number. So if you
think T=l, replace every 1 by a T.

"Well, what are you waiting for? Fill the pu22le in!"

1 2 3 4 5 6 7

'

3
'''
1 7 6 4 5 3
181. Player 1 puts the spate piece into B (left diagtam). A 90
degree curve fallswhich Player 2 puts into
out, G (right
diagram). This forms two separate tracks:

182. The hot person is near the Equator but on the ground. The
other person is flying above the Equator, where it is often
bitterly cold.

183. The trick is to try this puzzle with a square first. Then,
because a circle has at least the same amount of symmetry as a
square, one can transfer the solution across:

184. Following the path of the arrow, you can spell out BEADS
and BASED.
185. This is a very old puzzle which was first set by Leonardo da
Vind. The sequence formed the well-known Fibonacci Series,
is

where the next term in the series can be calculated using the
previous two terms:

Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov
1 1 2 3 5 8 13 21 34 55 89
Hence there will be 55 + 89 = 144 rabbit pairs in December.

186. Move each bangle three positions clockwise each time (or
counterclockwise each time). Bonus question: This can be done
for any x which is a prime niunber.

187. The pair of outermost ropes he picks determines whether

the white or black nail is caught:

Catches
white
nail

Catches
black
nail
188. The words are ARTIST, THREAD and SHADOW:

189.

190. 1=R, 2=E, 3=T, 4=S, 5=1, 6=N and 7=A - the finished
crossword reads:
ACROSS: Retsina, Transit, Imparts, Stearin

DOWN: Retains, Trample, Insurer, Artisan

 ROUND 20
Use this page to keep track of youx score. Carry your total

forward to the next round of puzzles.

Answers to Round 20 puzzles are on pages 284-6.

Your
Category Points Score

^^»
 STEPPING STONES

Visitors to the carnival can only leave by using the

stepping stones to reach the exit. However, some
of the stones are loose.

What logical route would you take in order to reach

Finish and remain dry?

HOME HEART BOY

GROUND NUT AHACK WONDER

ETHIC WORK I CASE I book! LUST

CARD COURT STUDY WORK

BOARD LORD UW OUT TIME

SIXTH SENSE

SENSE

N H
 ROUND 20

WHAT'S THE WORD?

Mystic Molly has placed a magic word in the

bottom of the square cells. However, the cells are
so deep that it is only possible to see parts of the
letters.

Despite this, can you work out Molly's magic word?

 OVERLAP

"Here's a straightforward puzzle ... for a change!"

says Mandy Math.
"All you have to do is place the four tiles in the box
so that four sums are formed and the four answers
to these sums are four consecutive numbers (such
as 12, 13, 14 and 15).
 ROUND 20

AIR RAID

"The war story I like best," reminisces Lateral

Larry, "is that of a brave pilot who was carrying a
$2,000,000 cargo in used notes, plundered from
enemy banks.

"However, he had not reckoned on an enemy

soldier hiding in the cargo bay, who attacked and
disarmed him during the middle of the flight
home. Fortunately, the assailant couldn't fly and so
he had to keep the pilot alive, to fly him where he
wanted to land.

"There were only two parachutes in the plane. One

on the pilot's back, the other in the co-pilot's seat.
The enemy soldier went into the back to examine
the money. The pilot saw his chance and disabled
both parachutes so that they would fail when
opened. When the enemy returned the pilot
announced that their fuel was running out and they
would have to bail out.
"And that pilot was my father who is still aHve
today, unlike the enemy soldier."

How do you think

the story ended?
 MOLE MAZE

One of the attractions at the funfair is the mole

maze which consists of a network of tunnels
underground, and a network of pathways above
ground.

The children start at S, walk to one of the square

holes, crawl underground, and emerge out of one
of the round holes. They then walk to the next
square hole and so on until they reach F.

How should the carnival owner fence the grid so

that the children are forced to cover every square,
and the length of every overground section is the
same? Every hole is used once and only once.

J^JF
___•

s
 ROUND 20

FENCING

Colin the Clown is painting some fence posts of

square cross-section. He has already covered the
bottom stages with lots of gooey red paint (on the
left post) and yellow paint (on the right post) as
shown in picture 1.

He leaves the posts to dry but before they do so a

changeable wind approaches and blows the posts
over, as shown in picture 2. The wind changes
direction and blows the posts over the other
direction, as in picture 3.

The wind changes three more times.What would

the two touching faces of the posts look like when
Colin separates them?

®
1
 COMING OF AGE

Two of the carnival's circus performers were trying

to work out how long they had been working there.

'Well let me see," says one. "On my 37th

anniversary with the carnival, my son was in his
11th year here."

"OK," says the other, "well how long has your son
been here now?**

"Fm sure I've been here twice as long as he has,"

says the first man as he scratches his head,
desperately trying to remember the exact year.

Meanwhile the second man draws a diagram on a

piece of paper. "Solved it!", he exclaims.

How did the second man solve the problem?

^^^F Solve this additional puzzle for 5 bonus points:

Attempt the puzzle above but by another method.

 ROUND 20

CAP IT ALL

To win the game, decide which letter of the

alphabet can be capped onto the start of all these
words.

What 9-letter adjective, that perhaps describes

certain types of spiders, can be made from these
first letters?
 /^T^L

ON TARGET

In an archery contest, each competitor is given

three arrows.

One of the archers aims for the target and fires her
first shot. Her subsequent shot is fiirther out from
the midpoint of the target (known as the "gold")
than her first.

Assuming the arrows land randomly anywhere on

the target, what is the probability that her third
shot is further from the gold than her first?
 ROUND 20

SNAKE AND LADDERS

Simon the Snake wishes to eat the stars.However,

once he has wriggled along a piece of platform he
may not travel over it again. Also, there is not
enough room for him to turn around.

What is the largest number of stars he can eat?

(And yes, he knows how to climb ladders.)

-^H
Finish
1^ H 1^
191. Using word association, the correct route follows the logic
of Home ground. Ground nut, Nut case. Case book, etc.:

192. The word is TREASURE (read counterclockwise):

TER
ROU
EAS
193. The results of the four sums formed are 9, 10, 11 and 12.

The tiles have been shaded in the diagram to aid the eye:

2 X
figured that, although he could have been taken hostage, it was
much more likely two parachutes were going to be used
that the
for the soldier and the money ($2,000,000 would have been too
heavy and bulky for the enemy soldier to hold on to). The faulty
parachute killed the enemy soldier, but once he had gone the
pilot could fly to safety.

195.
_ _1 F
1• __

~
z•••
S

196. Imagine that these diagrams show the state of the touching
of the posts. The paint transfers between the faces as
faces
shown and the diagram on the right is the final answer:

197. The following graph shows that the man has been at the

circus for 52 years and his son has been there for 26 years:

Years at
circus

Father's line must be

twice hei^t of son's

Time
Alternatively, you can use algebra:

2x(U + a) = (37 + a)
22 + 2a = 31 + a

Hence (11 + a) = 26 and (37 + a) = 52.

198. The new words are (A)PATHETIC, (S)ELECTIVE,

(C)HASTENING, (E)MOTIONLESS, (T)REASONABLE,
(L)IMITABLENESS, (R)EVOLUTIONARY,
(I)DENTIFICATION, (W)HENCEFORWARD. The letters in
brackets can be rearranged to make CRAWLIEST.

199. Two-thirds, or 2-in-3. The chance that the third arrow will
be the best one is one-third. Hence, the probability that it is not
the best arrow is one less one-third.

200. It is possible to get every star except one:

Finish
 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calcvilate your score so far and

see how high you can try...

t
 ROUND 21
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 21 puzzles are on pages 300-2.

Your
Category Points Score

^ 201. WORD STICKS

^ 202.LASTPOST ^
^ 203. HOUSE OF CARDS ^
fe. TAKE A GAUSS ^
^ ^5. AMATEUR DRAMATICS ^
J^. WILD RIDE

^ 207. DOMINO EFFECT ^

^ 209.ALLCUTUP ^
^ 210. PERFECT FIT
"^
^
TOTAL FOR THIS ROUND <^^^^

+ Bonuses (5 points each) <r

^
+ Running total from previous round
<^
TOTAL SO FAR
(carry forward to next round)
 WORD STICKS

To win the game, place the 3-letter tiles onto what

remains of this chessboard so that a crossword is

formed.
 ROUND 21

LASTPOST

Every day, each household in a particular street

expects one letter.

Mike the Mailman delivers the letters to the street.

Unfortunately, he does so randomly. Naturally, a
number of letters get delivered to the wrong
houses and the residents swap letters after Mike has
gone.

Over an average year, how many letters per day will

Mike deliver correcdy?
 HOUSE OF CARDS

Mystic Molly begins her story. "In the House of

Cards, six playing cards have an argument and wish
to separate out into their own suits.

**The King and Queen refuse to have any card of a

lower denomination placed on top of them at any
time.

"How many moves will it take before the red cards

are all in and the black cards are
one pile on the left

in a pile on the right? Cards of either suit may be

put back onto the House of Cards if it is empty,
but the rule regarding seniority still applies."

House
of
Cards

#=u«iii^m«,iMjeg«i gx
=^ (^

only
V
only
4^
only
4i
only

<8<M..»....ll.l..i..ll.llli|..i...!»y
^ESSS^S^ 2^ '^ ssass^sss^
 ROUND 21

TAKE A GAUSS

"Here's a history lesson for you," says Mandy Math.

**When he was at school, the German mathematics
prodigy Carl Friedrich Gauss discovered that a
quickway of adding up the numbers from 1 to
1000 was to consider it as 500 pairs of 1001:

1 + 2 + 3 + ... + 998 + 999 + 1000

t t 1 i

Number of pairs = 1000/2 = 500

Total for series = 500 x 1001 = 500500

**You can take this further. For example, the

following series has a starting number of 2, a
difference of 3 between consecutive terms, and
there are 100 terms in the series:

2 + 5 + 8 4- ... + 293 + 296 + 299

it ^_J
Number of pairs = 100/2 = 50
= 50 x 301 = 15050
Total for series

"I know a particular arithmetic series. Its total is

69550, there are 100 terms in it, and the starting

number is four times larger than the difference
between any two consecutive terms.

''What is the fifth number in the series?"

 — — —

AMA TEUR DRAMA TICS

The carnival is situated on the outside of a small

town which has Throughout the
a Civic Hall.
winter, the amateur dramatics group will be
performing a dramatization of a famous book and
staging a musical to keep the citizens amused
during the fairground's quiet season. The Hall will
also be screening a Hollywood film.

Unfortunately, someone has mixed up the letters on

the hoardings outside the Hall. However, luckily
they possibly give a better description than the real
titles!

Can you work out the famous tides?

MMMMMmMMMMMMMMMM»MMMKMM»»MKMM
K =; _ ^_—— ——-— —
Book
(6,2,4) PtllDT SUPA St I
= !

lii«iwiiit«iifiiifiit»itnitrr
f ii f i ii i if iMfi i i i f ii iii i it« i tr
Musical
(1,1,1>8) B NAME won S
iiimm i iiiiiiimnuiui
^=m
[1 11111 tfl Iff If » 1111 111 IBirTTT
Film
(3,7,2,3,5)

numimmmmnnnnicx
 ROUND 21

WILD RIDE

One of the carnival's scariest rides. The Bullet, is a

steep, U-shaped 100 yard rollercoaster with a
straight track.

Riders lie down in their carriage and are propelled

feet first down the steep slope. When they reach
the bottom, the carriage is hauled up the other side

of the "U" so that they can get off and allow the
next group their moment of terror.

The coaster is so terrifying that riders' heads move

101 yards whereas their feet move 99 yards, and yet
they remain in perfecdy good health.

Can you explain how?

 DOMINO EFFECT

How can these 5-letter domino tiles be arranged

between the cubes below so that five related words
are formed?
 ROUND 21

ROLLING STONES

Pick a boulder and place it on one of the numbered

circles. Then roll it straight along one line into
another empty space.

Do the same for the remaining six boulders.

 ALL CUT UP

Sideshow Sid is furious. "Someone has paid for a

go on my stall using a foreign note and I didn't
reali2e," he complains.

"Fm so mad Fm going to cut up the note using my

pair of trustworthy scissors so that no one else will

get the note passed on to them. But as Fm not

going to waste too much energy over it, Fll only use
my scissors four times."

What is the largest number of pieces he could cut

the note into using four straight cuts?

m^

Tata
markkaa
Hitndra
nuirk

Solve this additional pu22le for 5 bonus points:

Suppose you had n cuts available. What formula would

tell you how many fragments you could make?
 ROUND 21

PERFECTFIT

Lateral Larry has 25 pieces left to fill in this (rather

boring!) jigsaw.

"Fd rather you fill it in for me," he says. "And you

can win some points here if you can find the
minimum number of fits necessary to finish the
jigsaw. I can see a way of doing it using seven fits."

Read Larry's mind and discover how this can be

achieved.

25ofbL^ p remaining
iUJUJL^^
202. Given that you are not told how many houses there are in
the street,you can assume that this does not matter. Hence you
might as well assume there are just two houses. There is a 50%
chance that he will get none right, and a 50% chance that he will
get both right, so on average he will get one correct per day. The
same calculation can be performed for any other number of
houses, but the answer is always one.

203. 14 moves are required. In this solution, Jh-Rl means "move

the Jack of Hearts to the first red pile", and Kc-H means "move
the King of Clubs and place on the top of the House." Solution:
Kh-Rl, Kc-Bl, Qh-R2, Qc-B2, Kh-R2 (on top of Qh), Kc-B2
(on top of Qc), Jh-Rl, Jc-Bl, Kh-H, Qh-Rl (on top of Jh), Kh-
Rl (red finished), Kc-H, Qc-Bl (on top of Jc), Kc-Bl.

204. Suppose the first number in the series was called a and the
difference between consecutive terms was d. Then we have:

69550 = a + {a + d) + (a + 2J)+. .+(a + 97//) + {a + 98</) + {a + 99^)

.

= 100i» + (0 + 1 + 2+. .+97 + 98 + 99)^

.

= 100tf + (50 pairs of 99//)

= 400</ + (50 X 99)d [since a=4d by die question]
69550 = 5350//
Then d = 69550 / 5350 = 13, and hence a = 52. So the fifth

term of the series is a + 4d= 104.

205. Murder is Easy (Agatha Christie), HM.S. Pinafore (Gilbert

and Sullivan), The Silence of the Lambs.

206. When the carriage reaches the bottom of the U-shape, it is

turned aroiind so that it is pointing in the correct direction by

the time it is hauled up the opposite side of the slope. The
consequence of this is that the riders' heads travel some of the
jovttney twice, hence the difference in distance.

207. Rearrange the domino tiles so that the top letters are in the

order B, N, G and O. Now topple them, and the names of

I, five

games can be read horizontally (namely, BINGO, RUMMY,

CHESS, HALMA and CRAPS).

208. Place the first boulder in circle 4, then roll it to 1. Place the
second boulder in circle 7 then roll it to 4, so that the second
boulder finishes where the second one started from. Continue
using this logic (i.e. 2 to 7, 5 to 2, 8 to 5, and finally 6 to
3 to 8
3). The key to this puzzle is that 3 shares no common factors
with 8.
 The best way to ensure the correct number is
209. Eleven pieces.
tomade equidistant numbers along two sides and connect up the
numbers with the same total:

1 2 3

The first cut makes one extra piece. The second

cut makes two
more, the third cut three more and so on. So the number of new
pieces formed is 1, 3, 6, 10, 15, 21... (called the 'Triangle
Numbers") for 1, 2, 3, 4, 5, 6... cuts respectively. By including an
extra one to count the original note, we get 2, 4, 7, 11 etc. The
formula for the number of pieces is V2/»(«+l) + 1, where « is the
number of cuts.

210. Arrange the pieces into five groups of four as shown on

the right. Place the first five pieces in the middle to form five
crosses. For the sixth "fit", place the outer cross into the middle.
The final fit completes the jigsaw.
 ROUND 22
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 22 puzzles are on pages 314-16..

Your
Category Points Score

^ KEYBOARD
211. QUIZ ^
^ 212. DIZZY BIRD ^
^ 213. CIRCUS CIRCLES
^
^214. FUNNELS
^ 215, LEAPFROGS ^
^ 217, SQUARE BASHING ^
•fTm PROBABLY
^ THE CHOCOLATE GAME
219. ^
<f^5piESvTrSiGiG5~^
TOTAL FOR THIS ROUND <^^^^

+ Bonuses (5 points each) <^ J^

+ Running total from previous round <^ J>

TOTAL SO FAR
(carry forward to next rouni
 KEYBOARD QUIZ

"This puzzle is difficult but straightforward,"

explains Wordsmith Will.

"On this keyboard I tried to type a six-letter word

which means 'more greasy'.

**By accident, my all slipped one key to the

fingers
right To my had spelled out another
surprise, I
word which means 'partner*. The first letter was on
the top row, the second on the second row, the
third on the third row, and the final three letters
were all on the top row.

**To win the puzzle, tell me which two words were

involved."

0E0S000Q00n
3000000000
^BjtiMHjlLHHjlLHjlLl^JlLMjllHjlLHjlLMj
 ROUND 22

DIZZYBIRD

Patrick the Penguin wants to walk to the South

Pole, about 10 miles from where he currently Uves.

Because many people (and penguins) have been to

the South Pole before, he is going to reach there in
a unique way by going in a south-easterly direction
until the tip of his beak is over the exact point
designated to be the South Pole.

Patrick's penguin friend, Ernie the Emperor, thinks

he is mad to try this stunt. Why might he have
good reason for doubting Patrick's chances?
 CIRCUS CIRCLES

These hoopla rings seem to have been dropped

carelessly on the floor. However, in fact there is a
hidden logic.

What number should replace the question mark in

order to continue the logic?
 ROUND 22

FUNNELS

How should you arrange the funnels provided so

diat, when die lid is released, the mustard will travel
through all the funnels and onto your hot dog?
 LEAPFROGS

Some children are looking at the red and green

frogs in the Animals Corner. Currendy their lily
pads are all in a row, and the frogs are in the order
illustrated here:

The children watch as the frogs leap from pad to

pad. They notice that the frogs always leap in
consecutive pairs onto two consecutive empty pads.
For example, frogs 3 and 4 might leap onto the
seventh and eighth pads respectively. They always
retain their order while flying in mid-air.

The children want to make the frogs jump so that

all the red frogs appear together, and all the green
frogs appear together, as shown:

How can they achieve this from the starting

position by making three pairs of frogs jump?
 ROUND 22

X MARKS THE SPOT

Pirate Pete is hunting for treasure and he has

narrowed its location down to one of the Xs in the
diagram below. He also knows he needs to connect
three pairs of diagrams with a line to discover
where to dig.

Under which X is the treasure hidden?

Q. ^ y
 SQUARE BASHING

Visual Vern has a set of nine coins. "I like this

arrangement very much. There are eight rows of
three coins, including the two main diagonals," he
explains.

"However, someone told me that I could slide just

four of these coins so that they take up a smaller
area on the table and yet the properties of the
original square would still hold."

Vern worked out how to do it. Can you?

 ROUND 22

PROBABLY

Mystic Molly has some old coins on a string. Each

of the coins has a letter of the alphabet on it, as

shown here:

If she turns each coin over, you can see that there
are other letters on the reverse sides:

Suppose Molly was to spin the coins on the string

so that they stop at random with either face

showing. What is the probability that a six-letter
word can be read?

Solve this additional puzzle for 5 bonus points:

I have the E, I, P, R, S and T in a bag. If I draw

letters

out the letters one at a time, what is the chance that I

will spell out a word?
 THE CHOCOLATE GAME

"Here is a bar of chocolate," explains Visual Vern.

**We are going to take turns to break the bar
straight along any one of the grooves and eat what
we break off For example, if I made a break down
the line illustrated, I would have four pieces that I
must eat.

"Unfortunately, one of the pieces is poisoned.

Whoever is forced to eat that piece loses the game."

Given the choice of going first or second, what is

the foolproof strategy to ensure that you are not

left with the poisoned piece?

'
/ \
<^:^
/ I I \
 ROUND 22

THE LEVITATING EGG

While you are enjoying your breakfast in the

Carnival Cafe, Marvin the Magician arrives and sits

opposite you. "Mind if I join you?" he asks.

He is having a boiled egg. Just before he cracks it

open, he says, **What*s that outside the window?"

You cast your gaze outside but there doesn't seem
to be anything there. As you look back at Marvin
you see that he has put his egg on the table, his

finger keeping it upright.

**Watch this," he says. He blows on the egg and

withdraws his finger. Remarkably, the egg stays
upright. "Actually, I'm not that hungry. You have
the egg," he volunteers as he leaves.

You pick up the egg and find that it is perfecdy

ordinary, and egg nor the table has
that neither the
been glued or fixed down in any way.

How did Marvin pull off his trick?

211. 1 intended to type WAXIER but instead I typed ESCORT.

212. Theoretically, Patrick woxild continue to circle around the

South Pole forever because it is not possible to reach it exacdy
from a south-easteriy direction. He would keep circling the Pole
in a smaller and smaller spiral. To explain: suppose he were to do
the trip in reverse. At the start he would need to set out in a
north-westerly direction. This is not possible because all

directions lead north from the South Pole.

213. The circles conform to the following rule:

©©(Sg)
Therefore the question mark should be replaced with 3, because
this circle has three crossover points with the other circles.

214. The funnels are of 2, 3,

6 and 7 units in length.
Therefore, the way to
structure them is for the 2
and 7 to go in one direction,
and the 3 and 6 to go in the
other direction so that they
cancel each other out.

Because the fiinnels must be

symmetrical, it is permissible
to turn two of the funnels
around to achieve this. The
mirror image of the solution
illustrated is also correct.
215. The successful sequence of jumps is as follows:

216. Pirate Pete needs to connect the three pairs of

homophones - NONE and NUN, HAIR and HARE, and PI
and PIE. The X in the triangle formed by the connecting lines is

the one where the treasvure is buried.

0HJH

217. Slide the coins as shown below. Notice how the square now
tilts in a different direction:

O^
ooo
^o
218.The six possible words ate BUCKET, CASTLE, BASKET,
CASKET, BUSTLE and CACKLE. Each of the six coins has
two possible states, so there are 2 = 64 possible positions.
Hence the chance is 6-in-64 or, if you prefer, 3-in-32 (about
9%).
For the Bonus question, there are five words possible (ESPRTT,
PRIEST, RIPEST, SPRITE and STRIPE) and there are 720
combinations (since 720 = 6x5x4x3x2x1). So the chance
is 5-in-720 or, in simpler terms, l-in-144.

219. If the chocolate bar is rectangular you play first and cut off

the pieces which makes the bar square in shape. On his move,
your opponent has no choice but to make the bar "iin-square"
so that you can square it off again. This tactic woits because the
final piece is square itself, so all square shapes are safe positions
and all rectangular ones are unsafe.

If, at the beginning of the game, you start with a square bar of
chocolate, you naturally elect your opponent to go first.

220. Marvin shook some salt onto the table when he distracted
you. Tiny grains of salt at the base of the egg would have been
enough to keep it upright. He "blew on the egg" to blow away
any excess grains of salt.
 ROUND 23
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 23 puzzles ate on pages 328-30.

Your
Cat^ory Points Score

^ 221 . WHAPS Ul> DOa

^
zasemroAGOBS,,.
223. PEN PUZZLE
^
^ 234 PROPELLER NIMBERS ^
^ 225. TRICK SHOT ^
^4 SYMBOL SUM ^
227. WATCH THIS W
^ 228. CROSS POSTED ^
4^ 229. DIY DOT-TO-DOT ^
^ 230. HCTURE CROSSWORD 4^
TOTAL FOR THIS ROUND <^^
+ Bonuses (5 points each) <r
^
+ Running total from previous round <r "!>

TOTAL SO FAR ^^^^

(cany foiwafd to next lomui^ ^^^^r
 WHAT'S UP, DOC?

Farmer Giles is trying to keep Warren the rabbit

and his pals from eating the prize carrots.

To achieve this, the farmer wishes to put one fence

between the two dots. Naturally, the fence will need
to change direction from time to time so Giles will
use a number of straight fences and then link them
up into one long fence.
All of the rabbits willend up on one side of the
fence, and the carrots will be on the other side, safe
from the hungry rabbits.

What route should he take? The fence must be

made up of no more than thirteen parts.
 ROUND 23

36 INTO 4 GOES..

A group of four children are having a camp fire and

they decide to have some marshmallows.
Unfortunately, the marshmallows have got a litde
warm in their backpack.

Some of the marshmallows are strawberry, some

are lemon, and some are blackcurrant - denoted by
symbols in the illustration below.

How can they separate out the gooey mess into

four pieces of equal si2e and shape, ensuring that
each child's piece includes one strawberry, one
lemon and one blackcurrant marshmaUow?

^^T Solve this additional puzzle for 5 bonus points:

Find a different way of dividing up the marshmallows.
 PEN PUZZLE

The sheep in the fairground's Animals Corner are

causing havoc The animal warden has three pens at
her disposal which she can make into three squares
or three rectangles.

How should she pen up the sheep so that the

number of sheep in each compartment is odd and
less than 4?

m Solve this additional puzzle for 5 bonus points:

Find a completely different solution to the above

puzzle.
 ROUND 23

PROPELLER NUMBERS

Mandy Math explains the puzzle's title. "The sum

of the numbers touching the left propeller blade
equals the sum of the numbers touching the right
blade.

"However, the property will not hold for any of

the other six possible positions. For example, 4+5
does not equal 11+12, likewise for 6+7 and 13+14.

"Rearrange the numbers so that, no matter where

the propeller rests, the property holds true."

^
(D
® ® ^
®

3) _
@ @ ®
 TRICK SHOT

Visual Vem has constructed a table for the

carnival's pool hall. Unfortunately, he seems to have

been a little over-enthusiastic with the cushions.

He is testing the table out by firing the cue ball in

the direction shown. Assuming he has hit the ball

hard enough, which pocket will the ball fall into?

 ROUND 23

SYMBOL SUM

Replace the symbols with numerals so that the

multiplication sum makes sense.

AOA
X
 WATCH THIS

If 6:10 is a well-known Beatles song, 1:25 is featured

in a well-known children's song, and 1:40 implies a

good gardener, what times are suggested by:

(a) Illegal goods

(b) To be pleased
(c) Expensive drink
(d) A pirates' disease?
 ROUND 23

CROSS POSTED

The carnival has two main tents. The larger is 8

yards high, the smaller 6 yards tall. The distance

between them is 14 yards.

There are two ropes which are used to steady the

tents during high winds. Each rope connects the
top of one tent to the bottom of the main post of
the other.

What is the horizontal distance, marked x on the

diagram, between the larger tent's post and the

crossover point of the ropes?

 DIY DOT-TO-DOT

Place the curves in the bottom grid between the

pairs of dots in the middle grid. When you have
placed all the curves, a picture will be formed.

\ i| \
 ROUND 2}

PICTURE CROSSWORD

"Here's a crossword I ^H1

designed for illiterate

people," says Wordsmith

Will. "Sadly it was fataUy
flawed! Each picture
represents a word. Once
the words are fitted into
the grid, the shaded
letters can be rearranged
to form a word."
221 There are several solutions, and
. it is possible to do the
puzzle regardless of whether you put the rabbits above the fence
(as shown in this example) or below it.

222. Two example solutions:

•pm •©
223. To find one solution is easy, but finding the other is more
difficult:

224. Notice diat if 14 + 1 = 8 + 7, then 14 -8= 7 - 1. In odier

words, the difference between pairs of opposite numbers needs
to be the same. For this to work for the whole circle, we need all
opposite pairs of numbers around the circle to have the same
difference. There are two ways this can be done, with a
difference of either 2 or 7 between the numbers. Taking the
latter case as an example, we pair up the numbers 1 & 8, 2 & 9, 3
& 10, 4 & 11, 5 & 12, 6 & 13 and 7 & 14 to give us:

@
® ©
®

®
^@ ®®
^
225. It will fall into pocket G,
A

226. The question says "numerals" not "numbers" for good

reason. Replacing the circle with I, the leaf shape with V, the
triangle with X, the square with L and the pentagon with C, the
roman numeral sum XIX times VI equals CXTV (namely, 19x6
= 114) is formed.
227. All the clues refer to two-word phrases, whereby the hour
hand gives the first word and the minute hand gives the second
word. The answers are 4:50 (Black Market), 12:45 (Tickled Pink),
9:15 (Pink Champagne) and 6:35 (Yellow Fever).

228. Because the distance between the tent posts is equal to the
sum of the heights, the distance x is the same as the height of
the larger tent, i.e. 8 yards. The mathematical argument goes:

14
by "similar
-- |4__^
6_

h
" _14_

X triangles"

—¥S[14-x] = \4h = 6x <^

112-8x- = 6x
sox- = 112/14 = 8

229. A coffee-pot is formed:

230. The answers are: 1. Gasmask, 2. Astronaut, 3. Mole,

5. Ostrich, 6. Keyhole, 7. Satellite, 8. Rook, 10. Knee,
11. Chaiiunail, 12. Steeple. The shaded letters make the word
SOLUTION.
 ROUND 24
Use this page to keep track of your score. Carry your total

forward to the next round of pu2zles.

Answers to Round 24 puzzles are on pages 342-4.

Category
 '
THE CLUE'S IN
V THE QUESTION

How does the sequence below end?

 ROUND 24

BEGINNING AND END

The nine words below have had two letters

removed from their start and finish, the same
on either end.
letters

Your task is to bring back each word to its former

glory. To help you, the letter pairs appear in the grid
underneath. Letter pairs appear either horizontally
or vertically. Taking the top-left corner as an
example, one letter pair must be LY or LM.
What are the nine words?

TRONO
RISCO_ L Y S
RICAL. M L A
STO__
FFE__
GIB__ TOE
MA__ P T A
A__ E M E
L
 JIG WORD

Your aim is to construct a word square. This is

done by interlocking the jigsaw pieces into the
£rame.

Clues to all eight words are given at the bottom of

the page, but in random order.

Clues - Eager, Silly, Provide for, Rope,

Whirlpool, Three-spotted card. Ended, Benefit
 ROUND 24

ROLL UP

"Here is one of my gambling dice," says Mandy

Math. "Currently it is standing on the bottom-right
square with its six face uppermost.

"Suppose I rolled it one square left, one square up

and one square right. Draw what the upper face
would look like then."
 VIRTUAL REALITY

"I'm a bit hard up at the moment," says a sor rowfiil

VisualVem. "I needed nine coins to show you my

new game but I only have six."

He has a bright idea. "Hang on a minute." He

rummages around underneath his stall and
reappears with a mirror.

**There are seven coins in this picture. Yes, I know

there are only five but at least it looks like seven.

There are five lines you can draw which will pass

through exacdy three coins.

"My challenge to you is this — add the sixth coin so

that there are now ten lines of three coins."

MIRROR
-
 ROUND 24

STAR OF INDIA

Which star will enable you to complete the picture

of the Taj Mahal?
 LABYRINTH

"Here's a straightforward maze for a change,"

explains Visual Vern. "All you have to do is travel

through the labyrinth and pick up all the stars on

the way."

What route would you take if you did not want to

travel through any part of the maze more than
once?
 ROUND 24

BAR-B-Q BUY

Bob the Butcher is barbecuing again. Each skewer

holds two items of food and is priced according to
the total for those two items.

He has three hungry customers waiting but

unfortunately one wants the hot dog, the second
wants the chop and the third likes the look of the
burger.

What individual prices should he charge for each

item?

$t.SO
 DAFT DOG

Dilbert the Dog is walking around the carnival with

his owner, Mr Jones, when he spots Mrs Jones in
the distance, walking direcdy towards them. Dilbert
runs off to meet her.

However, as soon as he gets there he immediately

turns around and runs back to Mr Jones. He
continues to run back and forth between his
owners.

Mr and Mrs Jones are currendy 300 feet apart. Mr

Jones is walking towards Mrs Jones at 3 feet per

second; Mrs Jones is walking towards Mr Jones at 2

feet per second. Dilbert runs at a constant speed of
6 feet per second.

When Mr and Mrs Jones eventually meet, what is

the total distance that Dilbert has run?

 ROUND 24

BE-SWITCHED

Lateral Larry has a very complicated lighting system

in his house. There are four switches which control
the main light. He brings out a card which reminds
him of how to use it:

THE LAMP IS ONLY ON IF:

i) At least one of A and B are on,
and at least one of C and D are on.

ii) A and B are both on (regardless

of the other switches).

iii) A and C are both off (regardless

of the other switches).

iv) C and D are both on, and the

other switches are off

THE LAMP IS OFF AT ALL

OTHER TIMES.

What is the simplest rule Larry can use to remind

himself of the combinations when the lamp is off?

Solve this additional puzzle for 5 bonus points:

What is the probability that a random setting of the

four switches will result in light being provided?
231.The answer is shown on the tight. If the picture is reflected
work SEQUENCE can be clearly seen.
in a vertical axis, the
Because the question asked how the "sequence" ends (!) we
need a backwards E (shown right) to complete the picture.

232. The words are MEtronoME, PEtiscoPE, LYricalLY,

REstoRE, TAffeTA, LEgibLE, TOmaTO, MlaMI and SAISA.

233.

234. Perhaps surprisingly, the six face will

still be uppermost, although it will have
rotated through 90 degrees:
235. Place the sixth coin as shown:

236. Star D completes the picture.

237. The pattern of stars goes black, white, black, white,

throughout the maze.

238. You can use algebra to solve the problem, but here's a
simpler way of thinking about it. The total of aU three prices is

$4.40. This includes every item twice (because each item is on

two skewers), so the sum of the prices for the burger, chop and
hot dog is half this ($2.20). The chop and bvirger costs $1.65,
hence the hot dog must cost $2.20 less $1.65 = 55 cents.
Likewise, the burger costs 70 cents ($2.20 - $1.50) and the chop
costs 95 cents ($2.20 - $1.25).
239. Relative to one another, Mr and Mrs Jones are travelling at 5
feet per second. Therefore it will take 300/5 = 60 seconds
before the two people meet (using Time equals Distance divided
by Speed). Because Dilbert is miming at 6 feet per second, he
will cover 6 x 60 = 360 feet dvuing this time. (We assume that it

takes neg^ble time for him to turn around.)

240. Treating the lamps in pairs, the following table can be

formed:
Lamps
on
A&B A B Neither

C^SrO
 ROUND 25
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 25 puzzles are on pages 356-8.

Your
Category Points Score

^ 241. SQUARING THE CIRCLES

 QUAKING THE CIRCLE.

Here are four disks. On each disk diere are four

magnets which are in the shape of letters. No
matter how you move or rotate the circles, the
lightiy shaded parts of the magnets always point

towards the Magnetic North.

Rearrange and rotate the disks as necessary so that

a 4 X 4 word square is formed, giving a total of
eight 4-letter words.
 ROUND 25

CASH AND GRAB

"I'm going to let you win some money but it won't

be easy!" promises Visual Vern.

"Here are 24 bags of cash and you can take any

bags you like subject to a condition - as soon as I
can take a bag of money which is halfway between
two empty spaces, you lose any money you have
taken and the game is over.

"For example, you took bags A and B, you would

if

lose because I can take bag X which is halfway

between A and B."

How many bags would you dare to take?

 IN DETAIL

Using the aid of the picture, some simple

and a very well known letter code, can
arithmetic,
you decide which 8-letter word is represented at the
bottom of the page?

+ 1

1 ^^^^k "^-^
^ffk

10

15
 ROUND 25

PICK A PRIZE

Here However, only ring 5 is real -

are eleven rings.
the rest are fakes. You must pick up a starting ring,
then continue by removing every fifth ring
counterclockwise around the circle. You only get to
keep the last (eleventh) ring you pick up.

Without resorting to trial and error, how can you

win the real ring using a maximum of two
attempts?
 SYMBOLISM

Here are four pieces. When placed together, they

form a well-known symbol.

Where two differently shaded pieces touch, each pair

of touching squares either shares their shapes or

numbers in common. For example, a star with a
"2" on it must touch a star or a symbol with a "2"
if it is adjacent to a differendy shaded piece.

How should the pieces be arranged? No rotation

of the pieces is necessary.
 ROUND 25

WHEELIES

A 13-letter word has been written on some wooden

disks.However, the disks have been displaced
slighdy from their original positions.

Despite this, can you read what the word is?

 NO MATTER

*Tell me a number," demands Mandy Math. "It can

be any integer number, which means negatives are
allowed but fractions are not

"Now, I bet I can name a number, which may have

numbers multiplied
to be a fraction, so that our
together give the same result as your number minus
twice my number."
You try a few numbers but she always manages to
find a number satisfying the above criterion.
However, you manage to spot a way to defeat her.
What is the only number that will allow you to beat
Mandy?
 ROUND 25

ON THE MAP

When the carnival owner returned from a holiday

he brought back a few mementoes.

Can you work out what at least six of the seven

box labels refer to?

If you can name all seven,

collect 5 bonus points.
 BY GUM!

Sudbury's Supergum has arrived at the carnival. This

substance possesses some remarkable abilities

which allows for much more chewing time than

ordinary gum.

For example, if three used banana gums are put

together, they react chemically and form a good-as-
new strawberry gum. Likewise, putting two used
strawberry gums together form a brand-new
banana gum.

Tommy has 19 strawberry gums and 15 banana

gums. How many gums will he enjoy before he has
to buy some more of this amazing candy?
 ROUND 25

A CRACKING PUZZLE

At the fairground's Chinese food stall. Hong Kong

Harry is entertaining his diners.

"I'll make a bet with you. Watch this," he says. He

takes a chopstick and breaks it into three. He
arranges the pieces into a triangle.

"If you can do that, it counts as a win. If you can't

make a triangle, then I win. OK, who wants to bet
that, if we break the chopstick randomly at any two
points along its you can make a
length, triangle with
the three pieces formed?"

What odds should Harry offer to ensure that this is

a fair bet - that is, the odds are fair to both Harry
and the player?
242. The most you can take is four bags. For the sake of an
example, suppose you took the top-left bag and the three bags
surrounding it. You can no longer take any other bag without
leaving a middle bag for Vem to snatch. (The principle of this
puzzle odd and even numbers on
lies in either axis, hence 2x2
= 4 bags maximum.)

243. Adding the coordinates for each square means the squares
are numbered sequentially from 1 to 5 along the top row, down
to 16 to 20 along the bottom row. We use the old A=l, B=2 etc.
code. The first picture is a detail from square 20 (15+5), so that
decodes as T (because T is the 20th letter). Repeating this for
every square leads to the word TROPICAL.

244. Do a trial run by removing ring 1 first and continue to see

where you end up. By crossing off each ring as we pick it up, we
remove 7, 2, 6, which leaves ring 9. (When
10, 3, 4, 11, 8, 5
coimting in fives, remember not to count rings once they have
been picked up.) Since starting at position 1 meant we ended up
in position 9, then (by moving four places counterclockwise) it

follows that starting at position 8 will leave us with the prize ring
at position 5. So position 8 is the correct answer.
245. A cross is formed:

246. The word REVOLUTIONARY can be read. The middles

of the letters have been rotated about 30 degrees clockwise. The
bottom parts have been rotated a further 30 degrees.

247. Suppose our number is called a and Mandy's number is

called b. Translating the question into algebra, we get:

ah = a-7})
ab + 2b = a
b(a + 2) = a
a
b =
a-k-2

If we select a to be -2, the bottom line of the fraction becomes

zero which means that the whole fraction does not exist. (Any
fraction with zero as the denominator is not defined in
mathematics.)

248. The labels refer to the countries from which each souvenir
came. We have China (china teacup), Kuwait (Q-8), Chile (chilli),
Seychelles (say 'shells'), Turkey, Wales (whales) and finally Korea
(because the man with a parcel is a 'courier'... ouch!)
249. The best solution I could find was 57 >x^ole gums:

Ranana Strawberry
15 19 Eat 18 strawberry leftovers makes 9 banana)
24 1 Eat 24 banana leftovers makes 8 strawberry)
9 Eat 8 strawberry leftovers makes 4 banana)
4 1 Eat 3 banana leftovers makes 1 strawberry)
1 2 Eat 2 strawberry leftovers makes 1 banana)
2 Eat 2 banana leftovers can't make anything else)

Total : 29 banana, 28 strawberry.

250. The odds should be 4-to-l for die game to be fair. Cleady,

ifany one of the pieces is over half a chopstick, the other two
cannot possibly "close up" the trian^e. The probability that any
of the diree parts is too large is equally likely. This probability is
the same chance that all three parts are under half the original
length. This gives fbur scenarios, only one of -vMch is

successful
 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calculate your score so far and

see how high you can try...

TOTAL
SO FAR
1050 C£R£BRAL CHAMP
MENTAL MAULER
BRAINY BRUTE

POSER POWteRHOUSE

SMART SCRAPPER
TOUefl THINKER

L061C UGHTtfElGHT

PUZZLE PUSHOVfeR
 ROUND 26
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 26 puzzles are on pages 372-4.

Your
Category Points Score

^ 251. WORD WEB

 WORD WEB

Trace the longest word which can be found on this

web.
 ROUND 26

ROOT OF ALL EVIL

"I really hate the square root sign. I'm sure it causes
more trouble than it's worth and moreover I don't
think it's necessary," says Mandy Math, cryptically
"For I never have to write that horrid sign. Instead,

I use a fraction which continues for ever and ever.

"I'm thinking of a square root of a particular

whole number. The usual way of writing it would
need the square root sign, so instead I write it as:

1+1 m.,-
*T)o you see how the pattern goes? You start with
'one plus one over one and then
plus...' (in black)
you keep going with another *one plus one over
one plus...' (in white) and so on.

"Now let's see if you've understood all that. To win

the game, tell me what number I am thinking of."

Solve this additional puzzle for 5 bonus points:

How else could you have solved this puzzle?

 USE THE HYPOTENUSE

A young visitor to the fairground is playing one of

those infamous crane grab machines.

She turns to you and says "I never quite manage to

hook one of the teddy bears. It would help if I
knew how long the crane was."

The crane (not drawn to scale) is constructed from

three strong, right-angled triangles. Given four of
the sides, what is the length of the fifth?
 ROUND 26
PuzzieW// '^^j'^
DIGITATIONS

Draw the next figure in this sequence:

 LET'S TWIST AGAIN

Two children are playing a party game which uses a

mat of red, yellow, green and blue dots
(represented in the diagram as R, Y, G and B).

'This isn*t much fun without more people," says

Simon.

**Why don't we use itmaze game instead?"

as a

offers Lucy. "Let's each stand on a red dot, or a

green dot if you prefer. Now, if you move onto a
different dot, a blue one, say, I have to move to a
blue dot too. As we continue, we should always be
on the same type of dot. We move horizontally or
vertically."

Lucy looks hard mat and proclaims "Fm

at the

thinking of a route which, on our sixth step, allows

us to have swapped places from our starting
positions."

Can you work out the route had Lucy seen?

•0(v
O®©®
©©(Y
 ROUND 26

IMPOSSIBLE MISSION

"This is an impossible puzzle," says Visual Vem,

"but I suppose they all seem that way at first!

"The spaceship has to travel through each space

sector square, but it must avoid those containing
the large planets so that there is no risk of being
sucked into its gravitational field.

"They want to make as much progress as possible

by visiting each square once only. It is impossible
for them to visit every uninhabited square. What is
the most they can achieve?"
 STRANDED

Here are six pieces of woven fabric. At the

moment, you can see the backs of each strip.

Each piece has the end nearest the square nailed

down. The rest of the fabric is free-moving.

How can you weave the strands so that a 3 x 3

word square is formed in the box?

a I a
3^3
YH io
 ROUND 26

TANKS A LOT

Sam the Performing Sealion has a large tank which

is held together by long metal rods and canvas
panels.

When completely full it can store 1000 gallons of

water. This is what it looks like:

Or, rather, that's what it used to look like. One day,

after he had performed his act, Sam came back to

find this:

Someone had changed it so that, although it had

the same length, width and perpendicular height,
the walls sloped at a 30 degree angle.

What is the maximum amount of water the tank

can hold now?
 SHORTHAND SUMS

Mandy Math's son, Norman Numbers, is

experimenting with something he's been shown at
school.

"I'm using a new symbol to simplify my

calculations," explains Norman. "For example, the
number of ways you can arrange a pack of cards is:
52 X 51 X 50 X 49x- .x4 x 3 x 2 x
•
1

**That's a huge calculation, not to mention a huge

number, so I just write the symbol shown here:

^ =52x51x50x49x...x4x3x2xl
"Likewise:

^+^ = (3 X2X 1) + (5 X 4 X 3X2X 1) = 1 26

"For my own reasons, <0^ is defined to equal 1."

What does the sum below add up to?

Solve this additional puzzle for 5 bonus points:

Once you've worked out the principle behind the puzzle

above, can you find the only other number (apart from
1 and 2) which possesses the evident property?

Free hint: All its three digits are under 6.

 ROUND 26

SEE-THRU SQUARES

Wordsmith Will is having a hard time. "I made up

this puzzle years ago but I can't remember the
solution. Maybe you could help me.

"I remember that you are supposed to take the four

grids and put them one above the other so that,
when you look down through the grids, a 4 x 4
word square is formed. But as you can see, I
haven't been able to get the answer yet."

What is the solution Will intended years ago?

Looking down through

the grids in the
shown by the
direction
arrow currentiy gives:

L ullE
SEE R
GEHE
251. The longest word possible is the word LONGEST.

252. There are two ways of cracking this. The really easy way is
to approximate. For instance, if we evaluate as far as the third
iteration:

1
1+
1+ 1 + 1+f
the answer is 1.42857. This is already very close to the square
root of 2, so Mandy was thinking of the number 2 (or -2).

The harder way is to use a formula. Because the process iterates

over and over again, you should be able to see how the first line
of the following calcvdation is the same thing as the never-
ending fraction:

l+X ~ l+X l+X '

>r(l+ x) = x-\-2
x-\-x^ = x + 2
x^=2
:.x = yf2 (or yf-2)

253. This puzzle requires you to use Pythagoras' Theorem

repeatedly:
32+42=25 = 5^
5^+12^=169 = 13^
13^+84^=7225 = 85^

Hence the fifth length of the crane is 85 vinits long.

254. The symbol (below left) completes the sequence. If the
diagram is rotated 70 degrees counterclockwise and we prise the
symbols apart (below right), everything becomes clear:

255. The children start, and end up on, the red dots shown:

256. It is possible to cover all but two squares. For example:

miiiiiiiiiinl

IBSiniBSp
-i^Biiiiea
 )

257. Weave the strands as shown:

258. It still holds 1000 gallons. The diagram explains why: The
same holds true for any rectangle and parallelogram.

259. The total is 40585. Apart from 1 and 2, the other number
which holds this property is 145 because:

(l) -H (4) + (5) = ) + (4 X 3 X 2 X 1 ) + (5 X 4 X 3X 2X 1

260. Put 3 on the top, then 4, then 2, then 1 on the bottom. This
gives:

TfflB
 ROUND 27
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Roimd 27 puzzles are on pages 386-8.

Category
 ANYTHING YOU
CAN DO...

The cat is trying to catch the mouse. Every rime the

cat moves, the mouse always makes the opposite
move. For example, if the cat moves two positions
east, the mouse moves two positions west.

At how many places can the cat can catch the

mouse?

-^B^-

m
Solve this additional puzzle for 5 bonus points:

Suppose instead that the mouse always moves in the

direction 90 degrees clockwise to the direction the cat
takes. If they start at the same places shown above, at
which point can the cat catch the mouse now?
 ROUND 27

CROSSFIRE

Place two vowels somewhere inside the circle, and

draw diree more straight lines, so that two 4-letter

and eight 3-letter words can be read.

 PRIZES GALORE

Sideshow Sid gives out a token to any punters who

hit at least four out of five targets on the air rifle
range. The tokens can be exchanged for prizes.

A bottie of champagne takes four times as many

tokens as a teddy bear, and a teddy bear takes three
times as many tokens as a stick of candy.

The prizes illustrated below would require a grand

total of 782 tokens.

Mr Jameson*s daughter would like a teddy bear to

home as a reminder of her day at the carnival.
take
What is the minimum number of targets he would
have to hit?
 ROUND 27

RACE TRACK

"This is a race track for toy cars," explains Visual

Vern. "Two cars are put into the grid at high speed.
They always travel in a straight line unless one of
the bends changes their direction.

"Assuming the cars don't crash at a crossover point,

of which there are many, the cars will emerge
having turned through a total of 540 degrees; that's
one-and-a-half turns. One car always turns left, the
other car always turns right.

'Tlace the spare bends onto the ground so that the

cars will emerge at the exit points."

yf
-=>

<p=-
 VOLUME DOWN

"Have a drink," offers Visual Vem. "But before you

ddnk it, here's a puzzle for you to solve.
"Suppose I take out some liquid from the glass so
that it is exacdy half full. Without resorting to the
use of any equipment, how can you reduce the
amount so that, without going pedantic extremes, it
is exacdy one-quarter full?"
 ROUND 27

WORD-CROSS

Wordsmith Will introduces his latest puzzle.

**YouVe heard of crosswords. Well this is a word-
cross.

"Any two consecutive letter pairs around the cross

form a four-letter word. For example, I've started
you off with SKID, IDEA, and EACH.
**To win the game, continue in thesame fashion so
that the word-cross is complete. Use the letter pairs
provided. Each pair is only used once."

W<9EM
LEro
 KNIGHT'S TOUR

Most chess players have heard of the Knight's Tour

where the knight visits all 64 squares of the
chessboard.

There are several different ways this can be done.

Is it possible to devise a route so that the knight

starts in one comer and finishes up in the opposite

comer?
 ROUND 27

SQUARE WORDS

Each of these square tings can accommodate four

letters along each side, so that a 12-letter word can
be written clockwise in each ring, the first letter
resting in the circle.

Where two rings overlap, the same letter is used in

the word from either ring

The 12-letter word in the bottom ring means "to

disable". The middle ring means "cleverness". The
darkest ring is a type of shop.

What are the three words?

 KNIT WITS

Mystic Molly wants to put her balls of wool onto

this square of knitting needles so that her cat.
Mischief, can't get at them.

She has fourteen balls of yarn and she would like

to have the same number of balls on each side of
the square so that she can tell at a glance if there
has been any feline intervention.

How can she do it?

 ROUND 27

EASURE FOR MEASUR

"I had a bit of a disaster earlier on this week," says

a sad Baker Bill. **The carnival owner asked me to
cook a magnificent cake to celebrate the carnival's
golden anniversary. Here's some of the ingredients
I was using:

Unaxe-dlsnti. fox

^oLa£n deUbxakion Cake

1 ton of plain flour
2 bushels of castor sugar
1 peck of yeast
1 gallon of egg whites
20 fluid 02 of egg yolks
1 5 pints of skimmed milk
2 stones of cream cheese
3 quarts of water
lo2 gold leaf (for decoration)
P.T.OI

"I followed the cooking instructions to the letter

and someone of my experience doesn't make
mistakes on projects of this scale.

"The cake was a complete mess - the consistency

was completely wrong. I don't suppose you can tell
me where I went wrong, can you?"
N.B. You don't need to be a cook to find the
answer.
261. The only place they can meet is the point halfway along the
line joining them below left). Bonus puzzle: The point is
(see
shown (below right). It can be calculated as follows: Connect the
cat and mouse by a (solid) line, then draw the (dotted)
perpendicular bisector of this line. Move the mouse slightly,
then move the cat via the same route rotated clockwise by 90
degrees. Then draw another pair of lines. The required point is
where the two dotted lines cross.

262. The words are BIN, NIB, PIT, TIP, PAN, NAP, LAID,
DIAL, TAB and BAT:

263. Let's express everything in terms of candy canes. One

bottle of champagne is equivalent to 1 2 candy canes, so three
bottles equals 36 canes. Also, two teddy bears equals 6 canes. So
4 canes + 3 bottles + 2 bears = 4 + 36 + 6 = 46 canes. Because
782 tokens, this means it takes 782 / 46 = 17 tokens
this takes
forone cane. Therefore a teddy bear costs 51 tokens, so Mr
Jameson would need to hit 51 x 4 = 204 targets.
 6zz^
^
^ :::;:: i^

265. Hold the glass so that your thumbnail marks where the
water level is. Tilt the glass so that the liquid touches the bottom
edge. Then suck the drink through the straw until the water level
is on a line between the bottom edge and the thumb position.
267. No, it's clearly not possible because the knight will alternate

between black and white squares along his route. If there are 64
squares on the board, an even number, he must therefore finish
on a black square if he started on a vt^te one and vice versa.

268. The words are INCAPACITATE, INTELLIGENCE and

DELICATESSEN:

yam on each needle, and an extra one

269. Place three balls of
on two opposite comers. This makes four balls on every needle.

270. The recipe was from an American cook book but Bill was
using the British measurements (or vice versa). In the case of
the gold leaf. Bill forgot that gold was measured in troy ounces,
not avoirdupois ounces.

UK ton = L12 US tons

1

1 UK bushel = 0.968 US bushels

UK peck = 0.968 US pecks
1

1UK gallon = 1.20 US gallons

UK fluid ounce = .041 US fluid ounces
1 1

UK pint = 1.20 US pints

1

1 UK hundredweight =1.12 US hundredweight

UK quart = 1.20 US quarts
1
 ROUND 28
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answen to Round 28 puzzles ate on pages 400-2.

Your
Category Points Score

TOTAL FOR THIS ROUND \^

+ Bonuses (5 poiats each) <r
J^
+ Running total from previous round <r
^
TOTAL SO FAR
(carry fotvatd to next round)
 LINKING RINGS

"See ifyou can work this little conundrum out,**

teases Wordsmith Will.

"Each of the circles on these rings contains a letter.
The circles 12345 in the black ring on the far left
spell out a word meaning 'faculty of speech'. The
letters in the circles 67890 on the dark ring on the

far right make a five letter word meaning Tittie*.

**The lower-left ring carries a 6-letter word meaning

'opened*, whereas the lower-right ring has an
adverb connected with the meaning 'dry*. Both
these words can be read in counterclockwise
fashion.

**Tell me, what word can be read counterclockwise

on the white ring?**
 ROUND 28

SQUARE DEAL

"This set of matchsticks has 30 squares," explains

Visual Vern. 'There are 16 small ones, nine 2x2
squares, four 3x3 ones, and a large 4x4 square.
"What is the least number of matches you need to
remove from this set-up so that none of these
squares, of any si2e, can be seen?*'

JL i>

*. t i.

i. i
 FILL-UP

Visual Vem is challenging Lateral Larry to a puzzle

shoot-out. "See if you can solve this one, Larry," he
says.

"I have a 7 X 7 board (with a hole in the middle)

which I want to cover with the black shapes. There
are eleven L-shaped pieces, and one piece that
looks a bit like an S. This is enough to cover the 48

squares."

"I'm not even going to attempt it," snorts Larry.

"Instead, give me a puzzle that's possible to
complete!"

How did Larry deduce that Vern's puzzle was

impossible?

11

1
 ROUND 28

SHOOT FOR THE HOOP.

In this game you have throw a 2ft-wide beach

to
ball through one of the two smaller hoops without

it touching the sides. The radii of the hoops are 4,

8 and 12 feet.

Assuming that the ball is thrown so that its

midpoint passes through the largest hoop at

random, what are your chances of winning?

Solve this additional puzzle for 5 bonus points:

If the radii of all hoops were enlarged by 6.25%, what

would the chances of winning be increased to?
 PICTURE PUZZLE

Colin the Clown shows you this puzzling picture of

his brother.

Use the grid to help work out his name.

rs
 ROUND 28
, ^ , Points
NEARLY M. 4

What 7-letter word is almost represented here?

 MATCH THIS

"IVe got another one of those traditional

matchsdck puzzles for you," says Visual Vern. "As
you can see, I have a set of matchsticks laid out to
make a spiral. By moving only four matches, how
can you form three squares?"

Mt Solve this additional puzzle for 5 bonus points:

Given twelve matches, what is the largest number of

squares (of any size) you can make?
 ROUND 28

LONG DIVISION

How can these letters be divided up using three

circles (which may overlap) so that each letter is

separated from all the other letters?

In other words, you must not be able to move from

one letter to any other without crossing a line.
 BOUNCE

While playing in the fairground's pool hall,

Sideshow Sid gets distracted and makes a terrible
shot, causing the black ball to jump 4V2 feet in the
air.

On each subsequent bounce, the ball rises to one

tenth of the maximum height reached by the
previous bounce.

In total, how many feet will the ball have covered

when it eventually comes to rest?
 ROUND 28

DOUBLING DICE

Wordsmith Will is playing with a pair of dice. "I've

just thrown two sixes. See if you can fill in the dice
using these clues," he says.

To win the game, complete the puzzle. You have to

work out which clue in each pair fits in which of
the crosswords.

M' M' M' M'

yy
'

5 6 7 8 5 6 7 8

"H H H ^^n n n
ACROSS
I. Outer boundary (7); 0°C (3,4)
5. Perpetually young; Like an ass
9. Least; Generally applicable
10. Gas; Copy DOWN
I I . Genius; Regard 1 . Skip briskly; Think of
2. Post meridian; Decayed
3. Bring to life; Use
4. Go lower; Pure substance
6. Jewel; Knight
7. Allow; Pinch
8. Holy woman; To pose
271. The words are VOICE, SMALL, PRISED and ARIDLY.
The word around the white ting is OLYMPICS:

272. Nine matches is the minimmn:

273. The L-shape pieces, no matter where they are placed on the
board, will always cover one sqiiare of one shade and three
squares of another, e.g. 1 light and 3 dark squares. As there are

an odd number of L-shapes, then the number of light and dark

squares covered in total wiU be odd for either shade. The single
S-shaped piece does nothing to change this. As we start off with
an even number of both shades, and yet we have covered an odd
number for both shades, then the puzzle is impossible.
274. We know that the middle of the ball will pass somewhere
within thehoop with 12-yard radius. To win, the ball has to go
through the left or right hoop without touching the sides.
Therefore, the midpoint of the ball has to pass through a circle
of radius 3 or 7 yards.

So, using the formula for the area of a circle, the chance that the
centre of the ball will fall in one of the desired places is:

7t3'+7r7'
-— = 9 + 49
= —
29
« 0.4
7tl2' 144 72

Therefore, the chance is 40%. The bonus answer is 50%.

275. When the jigsaw is reassembled, the letters on the tiles form
the message MY NAME'S GARIBALDI.

276. One line from each letter of FLANKED was missing:

277. r

(Other similar results

are also possible.)

279. The answer is the total of 9 + 0.9 + 0.09 + 0.009... which,

theoretically, will eventually add up to exactly 10 feet. In practice,
it will be just short of 10 feet.

280
 ROUND 29
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 29 puzzles are on pages 414-16.

^ Your
Category Points Score

28tTOKEN GESTURES
^ 282. SHIP SHAPES
^
283. WORD WIDE ^
284.

285.
REASON THE SEASON
BARREL BREAKAGE
^
286. CROSS COUNTRY
^ 287. PICTURE RIDDLE
~~ ^
^ 288. PLAY TIME ^^
289. COUNTER ATTACK ^T
^ 290. WORLP-S BEST ANAGRAM ^
TOTAL FOR THIS ROUND <^^
+ Bonuses (5 points each)

+ Running total from previous round <^ J^

TOTAL SO FAR
(carry forward to next routK
 TOKEN GESTURES

"Here are some numbered tokens, five of each

shade," explains Visual Vern. **They have to be
way that the
placed in the 5 by 5 box in such a
same shade or number is not used more than once
inany row, column or main diagonal.

few chips to start you off To win the

"I've placed a
game, complete the grid using the remaining
tokens."

1) •OO
I)® o©
($•00
 ROUND 29

SHIP SHAPES

Using the code letters for the smaller ships as a

guide, what can you say about the name of the

large ship?

II f t Tilili L-T f II

bsiiibHBHBHkDv
 WORD WIDE

"Here is the map I'm using to plan my vacation this

year," says Wordsmith 'The thing is, I want to

Will.
travel to as many places as possible, each one once
only, so that I can spell out the longest word
possible.

**The lines denote the flight paths that are available.

Can you tell me what route I should take?"
 ROUND 29

REASON THE SEASON

"This pu22le tests your powers of observation. It's

so tough it'll knock you into the middle of next

week," warns Lateral Larry.

"Here is a series of six words. They don't seem to

have anything in common. Yet, there is one word,
and only one word, that will continue the hidden
logic

"I'll even tell you that the word I'm looking for is

the name of a season in the Christian calendar.

Now does that help you?"
What word finishes the sequence?

COSMONAUT
STATUETTE
SWEDE
ENTHUSE
BOYFRIEND
VERSATILE
9
 BARREL BREAKAGE

The carnivalowner isn't very happy. It is coming up

to winter time and he is down to his last barrel of
heating oil.

Worse still, the full barrel has developed a leak, and

the oil has spilled into the gap in between the
barrels. A top-down view of the situation is shown
below.

Each barrel is 1 yard in diameter. What is the area

of the shaded region, now covered in oil?
 ROUND 29

CROSSCOUNTRY

"I have placed seven coins in this circle. However,

only five of them are real. You have to eliminate
the false pair," explains Mystic Molly.

**The way you do this is to draw a line between the

centre of one circle to the centre of another. But
I'm not going to tell you how to match them up -
you've got to work the out the logic for yourself"

Which two coins are false?

 PICTURE RIDDLE

These nine pictures all represent four-letter words.

How can they be placed into a special, logical
sequence?
 ROUND 29

PLAY TIME

First examine the story below.

Then, if you were told that the narrator was called

1745, what would you say his name was?

/ was zvadfJTtff doim the street when I saw 4

biUBoard 13647 of me which was advertising 4
play.

'34r I thought, 'that's the 2456 play try

jriendMS is in. " 236 is not 4 BriOmnt actor, 4
real34S^ the truth Be told, But I went to see
it anyway.

Ifie whole production was 4 complete 2345,

which was 4 real23456 Because I Iqww 236
347 Been rehearsing hard all weel{.
236felt 517, 217 and
1234567 But 236
calmed doxvn
once we talked ^
aBout it later,

over 4 cup of
5647.
 COUNTERATTACK

How can these counters be rearranged so that:

(a) no two counters with consecutive numbers are
directly connected, and (b) the totals of the two
diagonals indicated are equal?

Solve this additional puzzle for 5 bonus points:

This puzzle has several solutions. Give solutions where

the diagonals total to the (i) highest, and (ii) lowest
number possible.
 ROUND 29
THE WORLD'S
BEST ANAGRAM

"Many people through the ages of time have tried

to construct truly brilliant anagrams," begins
WordsmithWill.

"One of the best anagrams I've come across

recendy are die words CINEMATOGRAPHER, as
in a film maker, and MEGACHIROPTERAN,
which is an adjective for a certain kind of butterfly.

"That's a very impressive anagram, but I think the

one illustrated here is the world's best.

"Can you see how the given side of the equation

can be rearranged in anagram fashion to provide a
suitable sum on the other side?"

ONE + IWELVE = ?
281. Notice how the numbers cycle two spaces right each row,
whereas the shades cycle two spaces left:

0(D#09
ft©^
o«o
emm(D
282. Comparing each part of the ship with the parts from the
smaller ships, we find that the ship's name is DISCOVERY:

DISCOVERY
283. The longest word is HEUCOPTER:

284. WHITSUNTIDE, because all the words have an

week in the middle of them, i.e.
abbreviation for a day of the
cosMONaut, staTUEtte, sWEDe, enTHUse, and so on.
285. By rearranging the shape, we can see that the shaded area is

one square yard:

286. Each clue refers to the name of a currency, hence the

reference to coins in the puzzle. For example, BEAT means
POUND which is the currency of the UK, so we draw a line
between these two circles. HONEST =
Likewise for the words
FRANK (Franc, France), GENUINE = REAL (Rial, Iran),
YEARNING = YEN (Yen, Japan), and LIMIT = MARK
(Mark, Germany). The lines cross over all coins but two. These
are the false coins (arrowed).
287. The words can be arranged into a word ladder, where one
letter changes between each word, like so:

BROW
CROW
CHOW
CHOP
SHOP
SHXP
SliXP
SKIP
SKXN
288. Throughout the story, 1234567 = ASHAMED. So, for
example, by substituting 1=A, 3=H, 6=E, 4=A and 7=D, then
"...billboard 13647 of me" should be read as "...billboard

AHEAD of me". Hence the narrator's name is ADAM.

289. The highest totals the diagonals can have is thirteen (see left
diagram). The lowest is eleven (see tight diagram). By choosing
the numbers 3, 4 and 5 across the middle it is also possible to
have twelve across the diagonals.

290. ONE + TWELVE = TWO + ELEVEN, which is a correct

calculation.
 ROUND 30
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 30 puzzles are on pages 428—30.

Your
Cat^ory Points Score

TOTAL FOR THIS ROUND

\^
+ Bonuses (5 points each)
^ <!"

+ Running total from previous round <^

^
TOTAL SO FAR
(cany foiwaid to next round)
 LANGUAGE LINK

"Here, take hold of these," says Sideshow Sid as he

hands you some different si2ed hula hoops. ''You
can use any si2e hoop you like, but to win a prize
you must throw the hoop in such a way that the
letters inside the ring can be arranged to make a
word."

Given that the hoops are allowed to overlap (and

thus use the same letters for different words), how
can you win at least three prizes? All of the words
have a common link.

"*
rii
R
11
E
I

Solve this additional puzzle for 5 bonus points:

jfi^

Use two more hoops to win a total of five prizes.

 ROUND SO

DOUBLE CROSSING

Draw 12 straight lines through the crosses so that

an X-shape is formed, with 20 crosses on the

outside and 9 on the inside.

XM V M V M V w%- «/\ ^% ^\ ^% ^s

yv -^ ^V ^- ^\ ^%
X^' w %^-
#% ^\ .^.
-%^ ^^ w
^ ^ ^
^S x^ ^\ ^ ^% ^
-^ ^\ ^ ^V ^^ ^\
^^ f-% ^^ „/^#:j.
^^ ^.^r^

#\ ^ ^% ^ .^ ^
j|W^ Solve this additional puzzle for 5 bonus points:

Form a new cross (again using 12 lines) so that another

X-shape is formed which has more crosses on the
inside than there are on the outside.
 WEIGHTY WORDS

Use the weights to lower each column of letters.

By using the right arrangement of weights, an 8-

letter word can be read in the (fixed) black frames.

urnrn
o M
hJ r n r
o M u y
T hj hJ

mmmmmmmm
oooooooo

Solve this additional puzzle for 5 bonus points:

Rearrange the weights again to find a related 8-letter

word.
 ROUND 30

THE FRAME GAME

"Fm just trying to frame these three pictures with

the black outers," explains Visual Vern.

"Can you tell me what logic I should use to frame

each diagram?"
 STRIP TEASER

Which strip will help you complete Christopher

Clown's face?
 ROUND 30

GRASS CUTTING

Harry, the fairground's green keeper, has a trusty

old mower which he uses to keep the grass in trim.

Harry is getting on in years, and so is his mower.

The machine travels well in a straight line, but
when Harry wants to turn a corner he can only
turn 90 degrees to the left.

Suppose Harry enters the garden below as shown

and exits where the arrow indicates. What is the
smallest number of left turns Harry will need so
that every patch has been mown at least once?

V
 ROLL A PENNY

Mandy Math has just finished constructing her roll-

a-penny stall. Actually, in this case, you roU silver

coins.

As you can see from the diagram on ^H]H

the right, each square on the board is QSTjH
just large enough to hold four coins. HJ^^P^
If you played this game, what reward for each
winning coin would Mandy have to offer you
before you*d consider this game to be fair? A coin
wins if it lands within a square, without touching or
crossing any lines.

Assume that the board is large enough so that your

coin always lands successfully somewhere on it.
 ROUND 30

FISH SCALES

"There are three kinds of fish in them thar seas,"

says Fisherman Fred, pointing towards the coast.

"I know that three skilletsweigh the same as four

kipples and two darlets. I also know that six kipples
and a darlet weigh the same as three skillets as well.

"If I were to multiply the weights, in pounds, of

one for each kind of fish, I'd get 144 pounds.

"Can you tell me how heavy are the fish in these

waters?"
 TILT OR TWIST

Here is a tube containing four balls, two white and

two black. The main tube can hold seven balls,
although there is a small extra chamber which can
hold one more ball.

There are two moves available to you:

i) Tilting the tube so that the balls roll to the

opposite side.

ii) Twisting the tube through 180 degrees about the

horizontal axis so that the extra chamber goes from
the top to the underneath (or vice versa).

How many moves in total will it take so that the

balls are in a row again but the black ones are to
the right of the white ones, as we look at the tube?
 ROUND 30

KNIGHT, KNIGHT

"This is the hardest puzzle I've ever devised," says

Mystic Molly, "and it takes place on what remains
of my smashed chess board."

"All you need to do is move the white knights onto

the spaces with W

and the black knights onto the
'B' squares. Then find the least number of standard
knight moves you'd need.
**You can jump over smashed square, imagining it
a
was still there, but of course you can't land a knight
diere."
291. There were, in fact, a total of six prizes to be won. TAN,
ORANGE and GREEN are fairly easy to spot. However, there
also TANGERINE, GARNET and its anagram ARGENT
is

(the heraldic term for silver).

292. X

293. The weights pull each

column of letters down by the
number of squares shown on
the weight By arranging the
weights in a certain way, the
word TITANIUM can be
formed, as shown in the
diagram.

Another metal, ANTIMONY,

will show up in the black frames
by rearranging the weights to
read 4, 3, 3, 1, 2, 4, 1, 2 from
I- mm
Unnf^l^iUUrrS

left to ri^t
294. By matching up the frames as follows, the black lines form
a sequence, spelling out the names of HUNGARY, JAMAICA
and NAMIBIA. (The shaded shapes are the coasdines of these
countries.)

295. Strip B completes the picture.

296. Ten turns are necessary:

297. The diagram supplied in the question is all

you need. The midpoint of the coins must lie

in the shaded square which has side of 1 inch.
If the midpoint of the coin lies in the
unshaded part (which has a total area of 3
square inches) then the coin has to cross a line.

So Mandy has you odds of 3-to-l,

to offer
i.e. 3 coins back for every winning coin.
298. It is faidy simple to deduce that D = 2K, and that 3S = 6K
+ D = 6K + 2K = 8K so S = 8K/3. So:

\44 = SxKxD = iKxKx2K = fK^

<=>^3 = i^ = 27soK = 3 pounds
It follows that D=6 and S=8.

299. Seven moves are requited:

Startn^-'-m 1

300. 1 hope you spotted the hint for this puzzle. It is no

coincidence that the previous puzzle also concerns two white
and two black pieces, and an object with eig^t spaces. In fact, we
can make a correlation as follows:

Il2[3l4l5l6l7
 PROGRESS CHART

TEST YOUR STRENGTH

How are you doing? Calculate your score so far and

see how high you can try...

TOTAL
SO FAR
1260 C£R£BRAL CHAMP
MENTAL MAUL£a
BRAINV BRUTE
POSER POWfeRHOUSE
SMART SCRAPPER
TOUQH THINKER
LOGIC U6HTtfEIGHT

PUZZLE PUSHOViER
 ROUND 31
Use this page to keep track of your score. Carry your total
forward to the next round of puzzles.

Answers to Round 31 puzzles are on pages 444-6.

Your
Category Points Score

^ 301. MYSTERY CHESS ^

^ 302.FL1PSIDE ^
^ 303. PICTURE LINK
304.FAINTBAJX ^
30S, ENDLESS <^
^ W
^ 307 COUNTER WEIGHl^ ^
^Imrnmrn^
309. TRAIN TRAIL
M
^
^ 310. POINT-TO-POINT

TOTAL FOR THIS ROUND <^^^^^

+ Bonuses (5 points each) <r J^

+ Running total from previous round <r ^
TOTAL SO FAR
(cany forward to next round)
 MYSTERY CHESS

On the starred squares of this chessboard there are

some chess pieces, although you can't see them at

themoment.
Each of the numbers on the board represents the
number of different chess pieces that are attacking
that square.

Using this information, can you deduce which

pieces are on the starred squares? None of the
pieces are pawns.
 ROUND 31

FLIPSIDE

"Here's something fot you to work out," says

Lateral Larry. **When I look at the number 4 in the
mirror, it looks like 6 and vice versa. When I look
at the number 9, it looks like IL However, when I

look at thenumber 19, it doesn't look Uke 2L"

What number does 19 look like when reversed?

4^6
9 ^ 11
19^ ?

m
"Too
Solve this additional puzzle for 5 bonus points:

easy?", asks Larry. "If so, consider the case

friend Roberta the Robot. If she looks at the number
of my

10 in the mirror, it looks like 5. When she looks at the

number 6 reflected, it looks like 3. However, when she
looks at the number 8, it doesn't look like 4." What
number does 8 look like when reversed in this case?
 PICTURE LINK

What word links the following pictures?

 ROUND 31

PAINTBALL

Sideshow Sid has a new shooting game at his stall.

It consists of a ball which floats in a column of air.

As it does so, it spins around in random directions.

Sid hands the contestant a paintball gun with three

red paint pellets. The player fires the pellets one at
a time at the ball. If the three red pellets land in the
same half of the ball, the contestant wins $16. On
average. Side finds that contestants hit the target
50% of the time. The pellets are not heavy enough
to dislodge the ball from the column of air.

What sum of money would you be prepared to pay

to play the game so that it is statistically fair?
 ENDLESS

**Take a look at the following cryptic messages,'*

offers Wordsmith Will. "If you can work out what
the password is, you win the game."

Dress desigli = Chat

Round hal|l = Plump

War-hors|e = Cost

Brute = Skin discoloration

Muslim quee|n = Her husband

Medieval garment = Twice

Brave womajn = Drug

Ashels = Stay
 ROUND 31
=^
MATCH THE NUMBERS

What number should be matched with the final

diagram?
 COUNTER WEIGHTS

Baker Bill has a traditional set of pan scales. He has

four weights which he uses to weigh out various
amounts of flour. They are I02, 2o2, 4oz and 8oz
weights. These amounts are very convenient
because he can weigh out every whole number of
ounces from 1 to 15 inclusive by selecting the
correct weights for that number.

One he bought four

day. Bill lost his weights, so
new ones from the ironmonger. Using these, he can
now weigh out every amount from 1 to 40oz
inclusive!

How heavy are Bill's new weights and how does he

use them?
 ROUND 31

LINEAR ALGEBRA

Examine the clues below, then work out which

code number should be assigned to the 3-letter
word.

Mend = ???

Two plus three = 31 24

African country = 34333

Opposite to acid = 323321

Southeast Asian port = 4331 23

Live-in friend = 32324324

New York district = 433332233

Very strongly = 2434443223

 TRAIN TRAIL

Every day, the carnival owner travelsfrom his

house to the carnival via the city underground
system.

Being rather an eccentric man, he ALWAYS travels

EXACTLY four stops and then ALWAYS changes
to a different line.

What is the minimum number of trains he uses on

his journey from home (H) to the carnival (Q?

Q Interchange ^L Station stop

 ROUND 31

POINT-TO-POINT

Arrange the pieces so that a trail is formed

301. A Queen, King, Rook and Knight (N) are on the boaid as
shown:

302. In Roman numerals, 4 (TV) looks like 6 (VI) reversed,

likerwise, 9 (DC) and 11 (XI) reversed. So 19 (XIX) is still 19
when reversed.

Bonus puzzle: The reference to the robot was a clue to look at

the numbers in binary. 10 in binary is 1 100, when reversed gives
001 1 which is 5 in binary. So 8 (100) reversed is 1 (001).

303. The word that links the pictures is LINK. A chain has links;
golf courses, especially those by the sea, are called links courses;
cufflinks; and television programmes have a linkman.

304. The chance of hitting the target three times out of three is

50% X 50% X 50% = 12.5%. No matter where the three hits are,
there is always a hemisphere \)^ch contains the three points.
Therefore, the fair amount to pay is $16 x 0.125 = $2.

305. If you find a synonym for die clues on the left-hand side,
then subtract the bst letter, you end i^ with a synonym for the
zig^t-hand side. For example, 'T>ress design" implies
PATTERN. PATTER, which is a
Subtracting the last letter gives
synonym we get
for "Chat". Continuing this for the other lines,
ROTUND(A), CHARGE(R), BRUISE(R), SULTAN(A),
DOUBLE(T), HEROIN(E) and REMAIN(S). The subtracted
letters, when read from top to bottom, gives the word

NARRATES which is the answer required.

306. The numbers represent the number of equilateral triangles,

of any size, that can be found in the diagram. So, the final
diagram shotild equal 6 because there are four small triangles
and two larger triangles.

307. Bill's new weights are 1, 3, 9 and 27 ounces in weight. He

realized that this allowshim to weigh more amounts than his old
set. In order to weigh an amount such as 5 ounces, he puts the

9oz weight on one pan, and the 1 and 3oz weights on the other
pan, as shown below. He then adds flour to the right-hand pan
vmtil the scales balance. He has then weighed out 5oz of flour.
This can be repeated for any amount between 1 and 40 ounces.

Clearly, the most he can weigh out is 40 ounces, the svim of 1,3,
9 and 27.

iAa I

308. Each encoded by the nvimber of straight lines

letter is
required to draw For example, 1=1, V=2, F=3, M=4.
that letter.
The words in the puzzle are FIX, FIVE, KENYA, ALKALI,
MANILA, FLATMATE, MANHATTAN and VEHEMENTLY.
Therefore, the top word should be encoded as 312.
309. Six different trains are necessary. This puzzle is easier if you
start at C and work back H. You find that this is pretty much
to
the only route he could have taken, and is certainly the shortest.

310. The answer is shown on

the right. The arrowhead of
each section indicates the
direction of the tail of the
next section. When
completed, the word
ARROWHEAD can be read
clockwise from the top.
 ROUND 32
Use this page to keep track of your score. Carry your total

forward to the next round of puzzles.

Answers to Round 32 puzzles are on pages 458-60.

Your
Category Points Score

^ 311. PIN POINTS

 PINPOINTS

Ifyou were to pick these needles up in sequence,

which would be the middle one?
 ROUND 32

ARITHMETICS

"See if you can solve this little puzzle," says Mandy

Math.

"An old man and his daughter have ages such that,
if the daughter were to double her age then
subtract one, she would get her father's age.

**What is you reverse the two digits which

more, if

make up the old man's age, you get the age of his
daughter.

"Using these pieces of information, can you tell me

how old the two people are?"
313^^^^ C770Af FRA CTURES

Wordsmith Will explains his latest puzzle. "The

idea is to take the start of one word and add it to
the end of a second word to make the answer.

**The fractions below give you some idea of how

much of each word you need to use. I'll start you
off - if you take three-quarters of 'Part of bottle'
(NECK) you get NEC. Adding this to the last
three-fifths of 'Church table' (ALTAR) gives
NEC+TAR, the drink of the Olympian gods.
"Given that the answers on the right-hand side of
the equals sign are always six letters long, can you
tell me what word can be formed by taking the first

letter of the six answers?"

3 3
— Part of botde + - Church table = Gods drink
4 5
2 4
— Of the city + — Spy = Important
3 1
- Third month + — Card = Selling place
2 1
— Tree limb -f — Human frame = Cognac
^
3 2
— Swop + - Warp = Obtain by compulsion
1 2
— Man's name + — Poison = By chance
2 5
 ROUND 32

SEQUENCES

To win this game, find the final term in each of

these five series.

1)0,T,T,F,F,S,S,E,N,_

2)Y,Y,H,L,Y,E,Y,T,R,R,R,

3)R,K,B,K,Q,B,K,_

4) T, w, t, g, f, t, f, t, i, e, o, t, f, _

5)0,Y,R,T,
 FORTY'S FORTE

**This is the simplest pu22le I could possibly give

you," says Wordsmith Will in a surprisingly
generous mood.

**The catch is that Fm going to give you very litde

to go on. Of all the usual counting numbers, one,
two, three and so on, there is one number in
particular that, to my mind, is rather unique.
**That number is forty. Out of the millions and

trillions of possible numbers, this is the only

number that possesses a certain property that I am
looking for. There is nothing complicated about
this property.

"Can you guess what property forty has that no

other whole number possesses?"
 ROUND 32

BOOK ENDS

A hotel owner hides his spare key inside one of the

telephone directories.

In case he forgets which volume contains the key,

rather than leaf through every volume he has
marked them in such a way that he can find out.

Can you work out which is the right directory first

time?

r r iir
1 r F
:] I L

®O©O0@OO®®OO
 ALL DIRECTIONS

To find the correct route, first concentrate on the

words in hexagons and associate them with
directions.

Using the right path, something can be found.

m «
 ROUND 32

ATOMIC NUMBERS

Professor Muddleup's Scintillating Science

Sideshow is a great place to experience some
fantastic fireworks, super smells and exhilarating
explosions.

To create his effects, he uses elements from the

Periodic Table with atomic numbers between 1 and
9 inclusive.

For most spectacular effect, he uses four

his
elements. Ifyou were to multiply the atomic
numbers of these four elements together, you
would get the result 432.

"I'll give a special prize to anyone who can work

out the atomic numbers of these elements if I tell

them how heavy the lightest one is," he offers.

How can you work the answer, even without

knowing the lightest element involved?
 WORD FOR WORD

"Here's a great puzzle," says Wordsmith Will. "By

now it should be obvious that I like word
association puzzles, and this one's no exception.
"SEA, IRON, DOCK and EAST can all precede
SIDE to make Now, I want you
four valid phrases.
to arrange the cards below into five rows of four
so that the words in each row can all be associated
with a common 4-letter word each time.

"Hey, if you're not too familiar with all the phrases,

don't worry - you can always work it out using the
hidden logic, as demonstrated in the example."
 ROUND 32

GUESSED STARS

Sideshow Sid has a simple game. Punters are given

ten star shapes and they have to arrange them to
form the largest number of straight lines, with four
stars in each line.

One player tried his best, but could only make three
lines as shown:

• •
• •*
•• •
• •
How could he improve his score by two?

^ Solve this additional puzzle for 5 bonus points:

If that's too easy, is it possible to work out how

arrange ten stars into seven straight rows of four stars
to

each? (Warning - a bit of a cheat, this one.)

311. The *G' needle is the seventh to be picked up. In order, the
needles spell out the phrase DARNING NEEDLE.

312. Express the old man's age as 100+ b, where a is the number
of tens of years he has lived and b is the number of additional
single years. Using the same notation, the daughter's age is
therefore \Ob+a. Doubling the daughter's age then subtracting
one gives the old man's age, so:

2(10^ + ^)-!= 10^ + ^

20^ + 2^-1 = 10^ + ^
19^-1 = 8^
The below 100 are 19, 38, 57, 76 and 95.
multiples of 19 diat are
Of these, only the third one
(57) is one larger than a multiple of
8 (namely, 56, the seventh multiple). Hence ^ is 3 and a is 7.
Therefore the old man's age is 73 and the daughter's age is 37.
This is checked by 37 x 2 - 1 = 73, which is correct.

313. Here are the same sums but with the answers typed in. The
letters in bold make up the words on the right. The first letter of
these words forms the answer NUMBER.
3 3
-NECK + - ALTAR = NECTAR
4 5
2 4
-URBAN + - AGENT = URGENT
5 5
3 1
-MARCH + -TICKET = MARKET
5 2
2 1
- BRANCH + - BODY = BRANDY
3 2
1 3
- EXCHANGE + - DISTORT = EXTORT
4 7
1 2
- RANDOLPH + - VENOM - RANDOM
2 5
314. Although these seem like ordinary sequence puzzles, they
all have a hidden logic behind them. The answers are: 1) T (first
letters of ONE to TEN), 2) R (final letters of JANUARY to
DECEMBER), 3) R (the top line of a chess board - Rook,
Knight, Bishop, King, Queen, Bishop, Knight, Rook), 4) s (first

letter of each word of the question), 5) O (first letter of each of

these sequences!).

315. FORTY is the only number which has its letters in

alphabetical order.

316. By rearranging the directories as shown, the spines form a

picture of a hotel. The key will be in the sixth directory from the
left.

317. The correct route from the START is: UP (and over),
RIGHT (on), DOWN (market), RIGHT (angled), RIGHT (of
entry), UP (beat), LEFT (hand side), UP (to the elbows),
RIGHT (reverend), UP (for grabs), LEFT (bank), UP (the
creek), UP (your street), RIGHT (of way), DOWN (in the
dumps), RIGHT (minded), UP (and coming).
Along this route, you find that you have crossed over the letters

DISCOVERY, in that order.

318. The only possible combination, which has a unique snxallest
numbec, is 1, 6, 8 and 9.

319. The answer is illustrated below. Notice that taking the first

letters of the the words in each row give you the answer. For
example, the words Bare, Answer, Call and Knock can all

precede BACK.

^g^^HOLE
320. Each of the ten stars can be "used" twice (calculated by
5x4/10 = 2), giving the following formation of five rows of
four stars:

Bonus puzzle: You could argue that a straight hne of 10 stars is

in fact seven rows of four stars, the first four stars being the first

row of four, starts 2 to 5 being the second row and so on.

 ROUND 33
Use this page to keep track of your score. Carry your total
forward to the next round of pu2zles.

Answers to Round 33 puzzles are on pages 472-4.

Your
Category Points Score

321 S^ifMBOJLiISM

^^^wm^m^m

TOTAL FOR THIS ROUND <C3^

+ Bonuses (5 points each) <r ^

+ Running total from previous round <r ^
GRAND TOTAL
(carry forward to next round)
 SYMBOLISM

Work out what the symbols mean, then tell us

which symbol should appear in the circle in order
to make the final calculation correct.

O + S, =i^2

N-S,=T2
 ROUND 33

WORD WEB

Which two connected words can be found in this

web of letters?
 SUSPECTPRIMES

"Take a look at the series below," suggests Mandy

Math. "IVe been offered a gold piece for every
prime number I can find in this infinite series. The
thing is, I don't want to test every number in turn.

"If you can tell me how many of the numbers are

prime, know whether to bother claiming my
I'll

reward or not. What's more, I'll spHt the money

with you."

What is maximum number of

the gold pieces you
could expect Mandy to claim?

9
98
987
9876
98765
987654
9876543
98765432
987654321
9876543219
98765432198
987654321987
9876543219876
98765432198765
987654321987654
9876543219876543
98765432198765432
987654321987654321
9876543219876543219
etc.
 ROUNDS}

WAY TO GO

In this game, the carnival's visitors place a ball at

the top of the pyramid and wait for it to drop into
one of the sections at the bottom.

Where the ball has a choice, it is equally likely to

choose either route.

What is the likelihood that the contestant will win a

prize?
 CUBIC-AL

Use the arrows to slice the cube along the lines.

What number should be associated with the final

cube in order to continue the logic?
 ROUND 33

DYNAMITE

Your task, should you decide to accept it, is to

defuse the bomb before it goesHowever,
off.

before you can do this you must remove the blocks.

You can only take a block if it can be lifted off
vertically. For example, you must take the "T" first,

then you have a choice of "R" or "I" as the second

letter.

If you choose the letters in the correct order, a 15-

letter word will be formed.

T
R I

N T R
O E O I

TILIEMU
V^N
 CLOCKWORK

One clockwise turn of cog A makes the minute

hand of this clock turn through 360 degrees. One
clockwise turn of cog E makes the hour hand turn
through 30 degrees clockwise.

How many complete clockwise revolutions does

cog B need to turn before "something o*clock" is

again shown, and what is that time?

(To save counting, cogs A, C and E have 15 teeth;

cog B has 18 teeth; cog D has 24 teeth.)
 ROUND 33

CARD PYRAMID

"Take a look at this pyramid of cards," says

Sideshow Sid. "If you can guess what card is on
top, you win the game."

Sohre this additional puzzle for 5 bonus points:

Suppose the bottom row of cards reads Seven, Jack,

Two, Nine. How can you work out the top card by
calculation, without working out the cards in between?
 COVER UP

''Back for more, eh?" says Visual Vem. "OK then,

takesome of the starred triple dominoes, like the
ones shown here. Take as many of them as you
need.

**Tell me what is the maximum number of these

dominoes you can fit onto the grid shown below.
No overlapping!'*

dj>%'
x^
 ROUND 33

ROBO-CHOP

Fifty robots are lined up in a circle, numbered from

1 to 50.

Robot 1 is armed with gun and told to

a laser
exterminate the robot to his namely Robot 2,
left,

before passing the gun on to Robot 3. The third

robot exterminates Robot 4 and passes the gun to
Robot 5.
This continues around the circle until one Robot is

remaining. What number robot is this?

321. The numbers 1 to 9 are coded O, T, (first T), % (second T),
F„ Fj, S„ Sj, E, N. Hence the sums are 1+6 = 7, 2x3 = 6, 9-
6 = 3, and the final one should read E / T, = F, (that is, 8 / 4 =
2). So Fj is the answer.

322. NEPTUNE and MERCURY can be found.

323. Mandy will not get any gold, because none of the numbers
are prime. All those ending in 5 are divisible by 5. All those
ending in 2, 4, 6 or 8 will be divisible by 2. All those ending in 1,
3, 7, or 9 have a digit sxun which is divisible by 3. Therefore, by a
well-known madiematical rule, these numbers are divisible by 3.
All dienumbers have now been accounted for, so there are no
prime numbers.

324.By mailing the number of possible routes the ball can take
ateach jimction and adding these numbers as we go down the
pyramid, we see that there are 12 ways of reaching the left-hand
WIN and 6 ways of reaching the d^t-hand WIN. As the total
number of possible routes is 1 + 6 + 12 + 7 + 12 + 6 + 1 = 45,
and as the number of winning routes is 12 + 6 = 18, then the
probability of a win is exactly 18/45 = 0.4. Therefore the chance
of winning the game is 40%.

Al2i^Al2A6 i

WIN
325. Slice each cube along the lines pointed to by each arrow.
The numbers represent the number of blocks that remain. In
the final cube, the remaining blocks are in a 4 x 2 x 1 formation
at the front of the cube. Therefore, this should be associated
with the number 8.

326. The word is TRINITROTOLUENE, better known as the

explosive TNT.

327. Since A has 15 teeth and B has 18 teeth, then after one ttim
of B, A has turned 1.2 times. Therefore, if B turns 5 times, A
revolves 6 times and so the minute hand points to the 12 again,
as required. Using the idler principle, we need not bother with
D
how many teeth C and have. If B turns five turns clockwise,
E will turn through six revolutions (because E has the same
number of teeth as A) but in an counterclockwise direction.
Therefore, the clock will show 11 o'clock.
328. The Ace of Hearts. The suits are easy - a different one is

used on each row. To get the values, add together the cards to
get the card above. For example. Ace plus Six gives Seven,
whereas Six plus Seven gives 13. (Jack counts as 11, Queen is 12,
and King is 13.) If a total goes over 13, start counting from 1
again. For example. Nine plus Six gives Fifteen (less 13 gives the
answer Two).
Bonus question: Add together the values of the outside two
cards and add it two cards. Keep
to triple the svim of the inner
subtracting 13 until you get a niimber between 1 and 13. In the
example given Ais would give 16 + (3 x 13) = 55.
(7, J, 2, 9)
Subtracting four lots of 13 leaves3. Therefore the card at the

top of the pyramid in this instance would be Three of Hearts.

329. Trial and error confirms that no more than 15 dominoes

can onto the board. The theoretical reason for this can be
fit

seen if we shade the board's diagonals as shown. Each domino

must cover a lig^t, medium and dai^ square, but there are only
15 lig^t squares available.

330. Robot 37 remains.

 FINAL SCORE

FINAL SCORE

Well done, you've made it! Now calculate your total

score. Are you a cerebral champ? Even if you aren't, a

score over 800 is still very good indeed.

GRAND
TOTAL
CEREBRAL CHAMP
MENTAL MAULER
BRAINV BRUTE

POSER POWfeRHOUSE

SMART SCRAPPER
TOUQH THINKER
L06IC U6HTWfel6HT

PUZZLE PUSHOVfeR
 CLUES

CLUES
The following pages contain some generous hints
to the puzzles in the book. Don't forget there is a
penalty to pay, though - you can only score half
points if you read the clue.

For example, if you need the clue for Puzzle 1

before you can solve it, you score 5 points instead

of the fiiU 10.

No clues are provided for the Bonus puzzles - you

are on your own for these.

PAGE
NUMBER
PUZZLES ENDING IN -1
PUZZLES ENDING IN -2
PUZZLES ENDING IN -3
PUZZLES ENDING IN -4
PUZZLES ENDING IN -5
PUZZLES ENDING IN -6
PUZZLES ENDING IN -7
PUZZLES ENDING IN -8
PUZZLES ENDING IN -9
PUZZLES ENDING IN -0
I. Obviously the first word is ANT. The next word starts with
an E, and the 5-letter word starts with a V.

II. Nose + Piece = Nosepiece, Piece + Meal = Piecemeal...

21. This is a very old puzzle that is normally presented in a

square shape.

31. YouVe read this word recendy - for sure.

41. The O cog always looks OK. After how many "teeth moves"
does the N look dg^t (etc)? Use the highest common factor.
51. You need to use multiplication, not addition.

61. Pirate Pete needed to make one cut in the rope before he
was in the same situation as Sailor Sam.
71. Worit out the factors of each number (e.g. 32 has factors of
2, 4, 8, 16) then match up with the other sides.

81. Fill in the rows with "4" and cross out the rows with "0".
Now work out how it all connects up.
91. Where was the youngster playing? Hmm...

101. The shades give you a C goes in the top-left circle.

start.

III. Well start you off: B + Pointer = B + ARROW = Barrow.

121. The top-right and bottom-left comers are both the letter B.

131. The words are HORNETS, THRONES and SHORTEN.

This is all the information to deduce whete the letter H should
be placed.
141. Three of the letter pairs can be \ised to prefiix any of the
other three letter pairs, thus giving the nine combinations
required.

151. The first calculation only features the numbers 4 and 8. The
second calculation b a strai^tforward sum.
161. This isn't hard - just use some lateral
thinking. There are 56
squares, so each square must be accounted for in one of the
dominoes. How is this possible? Look at the comers carefiilly.
 you draw out how the digital numbers wodt, you will
171. If
all of them use at least one of the tight-hand
find that nearly
s^ments. Concentrate on these.
181. Player 1 starts by placing the spare piece into A or B. This
causes another piece to fall out of the maze, \^ch player 2 puts

back into hole G or H.

191. Start on home ground
201. It is possible to work out how the grid divides up into
groups of three squares straight away without having to consider
any letters or words. LEAN appears on the top row.
211. The word I intended to type began with "W". The word I
actually typed ended with 'T'.
221. It doesn't matter if you put the rabbits above or below the
line - the puzzle is possible either way.

231. You are looking for the last letter of a word. Which word?
241. The HO/OG wheel is already in the rigjht direction. This
forms the top-left wheel of the rearrangement.
251. The word you are looking for begins with one of the 'T,"s.

261. Draw a line between the cat and the mouse. This should
give the game away.

271. The word ARIDLY appears on the bottom right ring.

281. The number two is very important in this puzzle. There are
two different sequences here.

291. TAN should be an easy spot. What other words can you
see? They are all associated with the spectrum. One word uses
all the letters except one. Two words are anagrams of one
another, but are less well known.
301. The piece on the left-hand side is a Queen.

311. Do the letters spell anything out that might help you?
321. ONE, TWO, THREE ...
2. The carnival owner thought of a way of paying less than
$300.

12. 24/8 = 3 squares per section. The only possible shapes the
pieces can be are: (a) a rod of 3 squares, or (b) an L-shape.

22. Black versus white squares is a useful guide. Look at the

squares a kni^t attacks.

32. Square pens are used. The largest one encompasses all nine
sheep, the smallest one pens in the middle sheep.
42. Aim for the middle-left space first.

52.Try splitting the shape into rectangles and triangles, the areas

of which are easily calculated.

62.Watch out - Will meant his crossword to be viewed from
outside the shop! The top row contains a place in Canada.

72. Each time, the squares that are shaded in are only connected
by one side.
82. Start with R, R, D, L, D, D, R, R, U, U, U, R, R...

92. Across: incapable, happen; Down: small meal, drug.

102. The straightforward way is a zigzag. The other way crosses

its own path.

112. The tide of the puzzle is a big clue.

122. Andrew and Hugo aren't men.

132. Put more directly, what sort of writing would the man have
to abandon because of a storm?

142. The arrow in the second column of hexagons is telling the

truth.

152. First, second, fourth, eighth.

162. The bonus puzzle may be able to help you with the main
puzzle Both the black and white knights spell out an 8-letter
country, and their routes are entirely separate from one another.
172. Be espedaUy careful about card 3 - do we need to turn this
over?
182. Although they ate both near the Equator, they are travelling
in such a way that it would be very difficult for them to meet.
192. The word can be read counterclockwise arovind the square.

202.Suppose there were just two houses in the street. What

would the result be then? Now try it with three houses.
212. Consider what would happen if Patrick tried to do the
reverse trip.

222. The separation lines will obviously possess quarter-turn

symmetry. There are lots of solutions.

232. The five-letter word is MIAMI.

242. You could try taking the bags in turn and leaving any bags
that would make you lose. This would give you the right answer.
252. Try approximation. This will g^ you an approximate result
vdiich will be more than adequate to find out what number
Mandy is thinking of.

262. A lot of the words can be read both backwards and

forwards, counting as two words.

272. You need to merge the squares together into groups of two
and one group of three. In our solution, most of the groups are
horizontal except for one group of two \(^ch is vertically
aligned. Only one match around die main perimeter is removed.

282. The larger ship is made up of nine pieces, which should be

familiar from the smaller ships. They should tell you the ship's
name.
292. The different shades should suggest the routes required
here.

302. How else can 4 and 6 be written?

312. If die man's age is lOa+b, the daughter's age is lOb+a.
322. The letters are in star shapes, \(^ch is a subde clue to the
sort of astronomical words that you are looking for.
3. There are 5 routes from A to B, so there are 5x5 from A to
C, so there are 5 x 5 x 5...

13. Is it possible to complete the jigsaw without attaching every

piece to something else?

23. Start by moving the 5 into the space, then the 4.

33. In no particular order, the words begin with B, C, E, H, T

and Z.
43.The more straightforward answer contains a lot of ones.
Only "2 2s" breaks this rule.
53. Eight numbers can't be made Try adding various amounts
of 4s to 0, then 7, then 14, then...

63. Why must the number 1 boat occupy the middle two squares
of the first column? Now place boat 2.

73. As the pins are in a triangular formation, the shape will (to
some extent) resemble a triangle.

83. Think about how many people lost in each round.

93. All the balls can take the most direct route available.

103. How can you prove it's a right-angled triangle?

113. If the first row is DCEBA, the second row is EDACB.

123. It is possible to leave one of four squares uncovered.
Which ones?
133. The first letters are R, S and C.
143. How many routes are there from A to H? How many
routes are there fromH to C? Now you have all the information
you need.
153. What do the flags for each group of countries have in
common?
163. Consider green, white, red, yellow and black. This is just
like a wordsearch.

173. In half a second, the left-hand wheel turns through 90

degrees. What about the rig^t-hand wheel? A numbering system
is useful to determine how the halves match up.
183. Try the same puzzle but with a square pie instead of a
circular one. Once you've worked that out, use it to help solve
the original puzzle.

193. The piece with the "divided by" symbol doesn't have either
of its numbers utilized in the final answer. The subtraction sum
results in the answer 9.

203. This is the Tower of Hanoi puzzle but with two different
sorts of pieces instead of one. However, it uses a very similar
principle.

213. If circles just touch at one point, that counts as one. What
about if they have an overlap?

223. In either solution, you place the same number of sheep in

each pen - either one or three.
233. 'T" appears in the top-right comer; "E" is in the bottom-
left.

243.Adding the coordinates of the squares together means that,

from 1 to 5 (along the top
in effect, the squares are niimbered
row) down to 16 to 20 (on the bottom row). Then use A=l,
B=2, C=3 etc.
253. You need to use Pythagoras' Theorem three times in
succession to solve this. For example, 3 +4 = 25 = 5 .

263. Work out how many candy canes a teddy is worth. Likewise
for the champagne. Therefore, how many tokens are needed for
one sugar cane?
273. The shading of the board is very important. Which shade
does each shape cover?
283. The S and the A are red herrings.
293. One word begins with T and ends with M.
303. The link is a 4-letter word.
313. 2/5 of URBAN + 4/5 of AGENT gives URGENT.
323. Cleady, no number ending in 5 will be prime. What about
those ending in 2, 4, 6 or 8? What about the rest?
4. There are eight cases — consider the truthfulness of each
statement for each case.

14. The cross is easy - rotate the piece by 90 degrees three times.
You're on your own for the square.
24. You are looking for two pieces of personal adornnxent, two
hues, two drinks and two musical terms.
34. A, C, E. That means the Ace must be third from the top. T,

W, O means the Two is sixth from the top.

44. You can readily get to: CP??, AG??, TE?? - now consider
carefully where the N must go.
54. Concentrate on the buds at the top.

64. What effect would halving the time of flight have upon the
maximum height?
74. The illustration provides the clue.

84. Draw in the three diagonals on each hexagon.

94. One of the pairs makes "Finger Painting".

104. Did you never play with your calculator at school?

114. There are several ways of doing it in less than 14 moves.

124. Note you can put digits side-by-side to make new numbers,
as well as the usual four mathematical operations.

134. This puzzle hinges on the interpretation of what 'Sjvidth"

and "height" are usually r^arded as. How can these definitions
be used (or abused)?
144. Don't be fooled - this is less likely than you mi^t think.

How many of the possible combinations would have the cards

in the ascending order?

154. In the worst possible case, how many questions would you
need to ask to determine the positions of the ice cream types -
two or three? Now work out how many questions you'd need to
deduce the cone types.
164. Suppose you imagine the circle to be a clock face. Draw a
linefrom 12 o'clock to 3 o'clock to 6 o'clock. What type of
angle is formed? What about if the middle time is any other
place along the circle? This can be used to deduce one diameter
of the circle You need two of these.
174. Why does the puzzle's tide mention "cavalry"?
184. Both words b^in with B.

194. What would the attacker value the most? The money or the
pilot?

204. Suppose you call the first number "a" and the difference
between consecutive terms "d". Then the series can be
represented as 69550 = a + a+d + a+2d + ... + a+98d + a+99d.

214. There's nothing to stop you turning some of the funnels

aroimd. Have you considered -whit the length of each funnel is?

224. Each pair of opposing numbers has the same difference.

234. The six face will be uppermost still, but what orientation
would it have?
244. Do a trial nm.
254. Look for numbers and letters.

264. The on the page. The

darker car turns counterclockwise
first comes across is the one already supplied at the
curve it

bottom of the fifth column of the grid.

274. In order to win, the middle of the ball must be at least 1
foot clear firom die perimeter of either of the winning hoops.
Use the area of these winning regions, add them up, and divide
by die area of the largest hoop.
284. Larry's preamble wasn't chit-chat - it was his way of
providing a big clue.

294. Do the shapes look like the outlines of countries to you?

304. Does it matter where the three hits are on the ball?

314. The first series uses numbers, the second uses months.

324. Of the 45 possible routes, how many end up at a WIN?

5. The white ball must be in the second square on the bottom
row. The yellow ball must be in the second colunm.
15. Place 2, 4, 6 in one shape, then place one of 2, 4 or 6 in the
other three. Now continue from there.
25. 45 is no good because Mandy could advance the wheel 3, 5,

9 or 15 numbers per spin.

35. The picture is misleading. I doubt he got much sun or fresh

air where he was.
45. An extra clue might be "Barney's son in the Flintstone/' (6).

55. Watch for the con! This puzzle has a catch.

65. M = ?, but how to get the letters to fit?

75. Six shooter. Seven seas.

85. The clock has not been tampered with, but it is not in the
best of working order either.

95. This pvizzle requires keenness of the eye rather than

keenness to do mathematics.
105. One of the shapes is a circle. The other one occurs when
the ends of the rod are in opposite halves of the circles.

115. Use symmetry to your advantage.

125.Suppose all three darts hit the "1" section (total = 3). What
happens to the total if one of these darts hits somewhere else?
135. The first letters of the words are (in alphabetical order) B,

E, M, R and S.
145. You need to use the "opposite sides add up to 7" rule. In
two of the dice, two numbers have had their positions swapped.
155. The rope was firmly tied and knotted onto the pole. How
could Chaz shorten the rope using this fact?

165. Some of the small, black shapes are used in more than one
of the larger shapes you are asked to draw.
175. A trial run was very helpful.
185. 1 + 1=2, 1+2 = 3, 2 + 3 = 5, etc.
195. The first section begins on the start square then goes up,
up, right and on the next square up there is the first tunnel
entrance.

205. The first puzzle is a mvurder mystery story. The second has
four words, (1,1,1,8) - what do you think the first three letters
would be? The film is a famous, recent thriller.

215. Ask frogs four and five to move along to pads 7 and 8
respectively.

225. It takes 15 bounces before the ball falls into one of the
pockets.

most symmetry possible, it is clear

235. In order to maintain the
be placed in the middle of the mirror.
that the coin has to
Where along the middle would generate the most new lines?
245. This is a cross shape, where the white piece forms the
bottom part. How do the other pieces fit together?
255. Lucy and Simon start out on red dots.

265. You may know the old puzzle about how to tell if a glass is

half fiill. How can you use this again to tell if a glass is a quarter
full? You could keep going for an eighth, sixteenth, etc.

275. Once the picture has been pieced together correctly, a

message beginning "MY NAME'S..." can be read from left to
ri^t, row by row.

285. Try chopping up the middle area and see where you can fit

it aroimd the barrels. The area of the resulting shape is easy to

calcvilate.

295. The top hat and the bow tie give the best indication. It is

not D or E.
305. The last letter of each synonym needs to be changed.
315. Concentrate on the word FORTY rather than the number
40.

325. Slice the cube along the lines indicated and count how
many cubes are left at the end.
6. It is an 11 -letter word, appropriate to what you are seeing.

16. It's less than two! But can you see which piece to move?

26. You'll need to go backwards in order to go forwards. One of

the keys is the "star" key.

36. You'd think that evens is the better bet because there are
foiu: even numbered outcomes, against odd's three. Not so.
46. The middle circle represents the letter "p".

56. If something isn't man-made, what else could it be?

66. The sum of 1 to 12 is 78, so each pair must add up to 78 / 6

= 13. The stars must add up to two pairs worth, i.e. 26.
76. Rearrange xy=3{x+y) so thatj is expressed in terms of x
only. Then use the fact that j is a whole number.

86. What shape is always the best if you are trying to maximize
areas?

96.Suppose Jamie's mother bought one of each balloon, three

times over. She needs one extra of which three shapes?

106. It was a round-the-wodd trip. Think about circumference.

116. One of the words is PRENATAL.

126. Eliminate the squares that are protected then see which
squares remain for the journey.

136. It doesn't matter which dot you start from, so choose one
and consider in how many ways you can visit the remaining five
dots. Don't forget that doing the route in reverse doesn't make
the diagram look any different.

146. If you knew the answer to the questions, you'd know the
letter you need to hit. Therefore, answer the questions for each
letter in turn and decide which letter gives the unique

combination of Yes and No answers.

156. Use arithmetic, shape and shade sequences to help you.
166. Assume that the guard won't recognize them, no matter
where they approach him from.
176. Don't be put off the scent - there's a way of solving this
puzzle without even having to spell Pythagoras, never mind use
his theorem. The clue is on the pxizzle page somewhere.

186. Rotate each bangle by the same amount - there are only
two possibilities you have to try,and one of them cleaily won't
work.
196. The paint transfers up the poles after each change of wind
direction. At the end, one pole has six of its seven segments
painted; the other five.

206.What mig^t happen when the ride comes to a stop at the

bottom of the U-bend?
216. Do any of the words around the square sovind familiar?
226.Look at the wording of the question very carefully. The
number of sides for each shape can help also.
236. Stars A and C are red herdngs.
246. The middle ring has been rotated through 30 degrees; the
innermost ring has been rotated a further 30 degrees.
256. There are many possible solutions \(^ch leave out the
minimum number of squares. The omitted squares are isolated -
there is no need to leave out a pair of squares.

266. Bear the words KENO and EMIR in mind on yovu: travels
around die cross.

276. One line from each letter is missing.

286. Mandy gave a reference to coins here. This is a rather
unsubtle clue. Think about the reference to countries as well.
Spot the connection?
296. Keep going along straight lines as long as possible until you
can see you will be mowing some lines for a second time. In this
case, turn left just before these points.

306. How many triangles can be found in the diagrams?

316. Rearrange the picture and the answer will be obvious.

326. The piizzle's tide is a big clue.

7. Can you see in what perspective black could lose?

17. V must be the last balloon to be popped. Use clues 1 and 4

to deduce the fourth balloon.
27. Suppose (b) is false and the rest are true then the treasure
must be in B2. Suppose (c) is false... etc.
37. The word begins with C and ends with T.

47. The clue to the answer is in the first sentence.

57. All the pictures represent 5-letter words, many of which are
very similar.

67. Not every puzzle piece locks with all the pieces it touches.

77. What job at the circus might crucially depend on height?

87.Although the rule is correct, so is the statement about 2000
AD. How can the two statements be reconciled?
97.No. in triangle = |a-b| + lb-c| + |c-a|. Notice each
number is mentioned twice.
107. Which series has only one even number, at the start?

117. All you need is 5(4xH-2)=20^10=10(2x4-l).

127. The string has two configurations at each crossover point.
Thus, there are 2x2x2 = 8 possibilities. How many are knots?
137. Integer numbers mean that negative numbers are also
allowed. One of numbers
these solutions contains the usual 1 to
9; what numbers would work for the other solution?
147. You can't use the usual trick of turning the 6 and 9 upside-
down. However, you can ...

157. It begins with P and ends with L.

167.The number you start on, two squared (4), is important.
Keep adding multiples and you'll soon discover a pattern.
177. Vem's preamble was in fact a clue - if a bottle is half full,

how can you verify it is also exacdy half empty?

from each nail in the same fashion as a
187. Trace a line out
maze. Does you a clue of how Vem can control the
this give
game to always go his way?
197. Draw a graph with '*N umber of years at circus" on the
y-axis and "Time" along the x-axis.

207. The '*BRCHC" tile should be placed on the far left. Once
you've made your selection, cause a domino effect.
217. Imagine the coins packed closely together, tilting in a
different direction. Now can you see which coins to move?
227. The hour hand gives the first word of each two-word
phrase.

237. The stars follow a black, white, black, vflake pattern

throughout the maze. This should make it a lot easier to work
out a suitable path.
247. If yovu: number is 'a' and Mandy's nvimber is *b' then you
need to use ab = a - 2b.

257.Each square can only have one of two possible letters.

Make yourself a grid where you draw a pair of letters for each
box. This should be a useful aid in solving the puzzle.

267. Have a careful look at the puzzle again - the diagram

should tell you the necessary information.
277. The squares are not quite concentric. The smallest square
has to share a match with the medium-sized square.
287. Well start you off - BROW, CROW, CHOW..
297. The diagram in the question gives a very useful clue. Don't
worry too much about the edges of the coins, it is much more
useful to consider the middle points of them and where they
need to fall for a win.

307. It is possible to put weights on both sides of the scales.

Using this principle, how is it possible to use a loz and 3oz

weight to weigh 2oz?

317. To start, go UP (and over), RIGHT (on), DOWN (market)

and RIGHT (angled).
327. It doesn't matter how many teeth C and D have.
8. Concentrate on the number of odds and evens you have.
18. Use multiplication. Don't add anything to the first digit.

28. There are two possible answers. What is the other one? (Use
trial and error, or quadratic equations if you know how.)
38. You could also add Bombay Duck to the list.

48. It's not four. It would have been if the ball was rolled along a
rod of the same length.
58. Try doubling the quantity of eggs in the 6 basket as your first

move.
68. The four words represented here all share a familiar property.
78. The event was less than 400 metres.
88. The first three letters of the word is something we all hate
paying.

98. Make the most of what is already there. Which prisoners are
already in an acceptable order?

108. Carefiil - the answer is not twelve. There are two positions
where a square can be formed.
118. What does a drde look like if viewed at an angle?
128.There are 6 numbers but five operators, so a two-digit
number must figure somewhere (in after the equals, in fact).
138. The star symbol means "go up".
148. The word Aat fits in the box is three letters long.
158. There is a very big due in the puzzle title. What could the
single and double rings indicate?

168. Consider the group of four pizzas on the top ri^t. Try to
cut diese in half in several different ways. Notice something in
common? Now do this for the lower two pizzas.
178. The first row is HeDGe; the first column is ReCeDe.
188. The letters T, R, E go into the top circles of the diagram, in
that order. The top-left circle's word reads in a different
direction from the other two circles.
198. We'U start you off with (C)HASTENING,
(R)EVOLUTIONARY and (A)PATPIETIC.
208. It doesn't matter where you start. Suppose you place the
first boulder in circle 4 and roll it to circle 1 .Your next boulder
should end up in circle 4.

218. BUSTLE and CACKLE are two of the words. Each coin
has two possible states; how many combinations is this?

228. There is a common sense way of justifying it. Otherwise,

you'll need to use the "similar triangles" mathematical rule.

238. Add up the three prices to get $4.40. What does this

amount represent? It is now much more straightforward to work

out the prices of each item.
248. The labels refer to the countries from which the
mementoes originated. For example, the tea cup is from China.
Now work out the rest.
what angle the walls are sloping at, so long
258. It doesn't matter
between the top of the tank and the
as the perpendicvilar height
floor remains the same as the original tank.

268. The words start with I, D and I.

278. Put another way, how is it possible for three circles to

produce a total of eleven different areas? (Answer — using every
overlap combination possible.)

288. Each number should be replaced by a letter throughout the

story. Clearly, A=4.
298. A darlet is worth two kipples, and three skillets are worth
eight kipples. Use this in conjunction with the fact about 144
ounces.

308. All the words have been encoded according to a

geometrical principle.

318. 1 must be the smallest niunber.

328. Add up the values. If a value is greater than 13, what

happens?
9. The middle square is M.
19. The first two days are: (1) A & B, C & D, E & F; (2) A & C,
B & E, D & F.

29. This wordsearch is twice as easy as any other you've seen.

39. Whatever figure you're thinking of^ I'd pay more.

49. There are eight possibilities. How many contain the ship?
59. This is on the classic "whiskey and milk"
a variant puzzle.
But does it have the same answer?
69. The binoculars is highest up and farthest rig^t because it has
the largest number of letters.

79. The black crossis easy. The white cross needs a bit of lateral

thinking - how could it be formed?

89. Order the shapes in order of number of sides. Don't be
fooled by the misleading word breaks.

99. The strips are already in the correct order - all you have to
do is work out the start position around the cyhnder.

109. What could the two staircases have in common?

119. Work out the number of handshakes for a party of 1,2, 3,
4, 5... people then try to spot a pattern.
129. They do each other a good turn.

139. All the skewers with "4" stretch rigjit across the grid. You
can deduce that the two "1" skewers in the lower right-hand
comer cross each other then stop.

149. Just because you're given something to use doesn't

necessarily mean you need to use all of it to solve the problem.

159. Suppose you cut the pizza through the middle, forming
exact quarters. Now imagine moving the vertical cut upwards.
How does this affect the lengths of A and C?
169. B and 2 are mirror images of one another.
179. It didn't come from anywhere - Larry has had 34 birthdays,
althougjb one of them was different from the others.
189. Concentxate on all the corners first - there are a number of
places where you can immediately deduce how the paths must
work.
199. Put more simply, '*What is the chance that the third arrow is

not the best one?"

209. Ensure that the path of each new cut you make crosses the
path of all earlier cuts.

219. If you wanted to lose, the worst thing you could do would
be to leave a single row of chocolate, of any length. How can
you avoid this position?

229. The picture is of a coffee pot. How do the curves fit

together?

239. What is the speed of Mrs Jones relative to Mr Jones?

Therefore, how long will it take them to meet? How far can
Dilbert run in this time?

249. Try eating all of one kind, then all of the other kind. Don't

forget to keep making new gums from the used ones.

259. Add this up:
(4x3x2xl)+l+(5x4x3x2xl)+(8x7x6x5x4x3x2xl)+(5x4x3x2xl).
269.You need to use the intersections of the needles, so that
some balls of yam can be counted twice.
279. At the first bounce, the ball will have covered 9 feet so far.

How much for the next bounce? And the next? Add these up.
289. Think carefiilly about the sort of numbers that MUST go
along the middle line. Why wouldn't 1, 4 and 7 do?
299. The progression of moves required has a very definite
pattern. Begin by twisting the tube then tilting it towards the
other side.

309. Try doing the route backvv^irds — it's quite easy.

319. The first letters of SIDE, IRON, DOCK and EAST speU ...

329. Use trial and error, or try shading the diagonals of the grid
in three different tones.
10. The answer is not 18 units. Think about the water levels very
carefiilly, especially in B and C.
tubes

20. The words are SUNLIGHT and HUSTUNG. It is possible

to deduce which letters go in the bottom and top-left circles.

30. The best clue is to consider what the numbers on the top
step have in common.
40.The shaded letters posses a certain property, which the
example hints towards.
50. You need to use two physical principles - light and...?
60. You might need to refer to a top row of a 5603248534 to
solve this!

70. The angle at \diich a ball strikes a cushion is the same as the
angle at which it leaves.

80. Move the pieces in the direction shown.

90. How about "Israel" for a clue? Or the author's name?

100. Use heat and light to deduce the four cases available.

110. Some of the lines only clip the edges of circles.

120. The same principle is used in a famous executive toy.

130. The synonyms are COIN, FEAR, SONG, STAR and

OVAL so anagram the other two words in each line.
140. Find the solution which divides the dock into two halves.
The remaining solutions all use lines parallel to this one.

150. To complete the task in such a short time, he obviously

must have known a series of words which he could reel off the
top of his head in a relatively short time.
160. The picture of the woman depicts her holding an umbrella.
The man's picture looks as if he is checking for rain.
170. Work out what the probability is of all three numbers being
different. How likely is it that your dice will be the middle of
three numbers?
180. Once the clues have been entered, you can read the rows in
sequence to find a 15-letter word which is sometimes happy,
sometimes angry.
190. R=l.
200. Although Sid cannot use a platform more than once, there's
nothing to stop him from moving where he likes on the ladders.

210. How can you arrange the pieces neady so that you can push
a piece into the middle of them, thus possibly connecting
several different pieces together at a time?

220. What could be holding the egg upright? It must have been
available to Marvia at the cafe, but small enough not to be seen.
230. Clue 2 is ASTRONAUT.
240. Make a 4 x 4 table considering the status of A and B on
one side, and the status of C and D on the other.

250. It is impossible to make a triangle if any of the three

lengths is over half the length of the entire chopstick.

260. None of the words in the example appear in the final

solution.

270. If the consistency of the cake was all wrong, and yet Bill

followed the instructions exacdy, can you think of a situation in

which the intended amounts are different from the actual
amounts used?
280. We'll give you 1 Across : SURFACE, for one crossword,
and ICE COLD for die odier.
290. Try changing the nvunbers... but only by a littie bit.

300. Say, where've I seen a puzzle like this before?

310. Although it's not necessary to realize this to solve the

puzzle, a 9-letter word can be read clockwise around the route.

320. You need to count every star twice. How can this be done?
330. In the first round all the even numbered robots are
exterminated. Then Robots 3, 7, 11, 15... etc. bite the dust. Keep
going until one is left.
 ACKNOWLEDGEMENTS

ACKNOWLEDGEMENTS

Any copyright clipart images originate from the following

companies: 3G Graphics Inc., Archive Arts, BBL Typographic,
Cartesia Software, Corel Corporation, Expressions Inc., Focus
Designs, Image Club Graphics Inc., Imageline Inc., Management
Graphics Ltd., Micrografx Inc., One Mile Up Inc., Produkturn
AB, StudioAdvertising Art, Studio Piazza Xilo M.C., Techpool
Studios Inc., Totem Graphics Inc., TNT Designs.
Book designed by David J. Bodycombe at Labyrinth Games
using CorelDraw! 5, © Corel Corporation 1994.

Many thanks to:

Mark Crean, Jan Chamier, and Nick Robinson at Robinson

Publishing for their efforts.

Chris Dickson, for testing the target scores.

Owen Massey, for providing a number of alternative insights

into many of the puzzles.

And to my friends, wherever they are...