Mathopoly
Y9 Mathematics Revision Game
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This booklet has been produced by the SAgE faculty office of Newcastle University.
The contents of this booklet may be photocopied for class use. Reproduction or use
of this booklet for commercial purpose is expressly forbidden. All materials are ©
University of Newcastle upon Tyne trading as Newcastle University.
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Mathopoly
Y9 Mathematics Revision Game
Contents:
Teacher Guide Page
Introduction 4
Resources 4
Preparation 4
Rules 5
Bibliography 6
Appendix 7
Score sheets 8
Question cards 9
Game Board 24
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Teacher Guide
Introduction
This booklet contains all the information and many of the resources needed to play Mathopoly.
This maths revision game is intended for use as a fun revision session for year 9 students. It covers
the topics examined in year 9: numbers; algebra; shape, space and measurement; and handling data.
However, it is not all encompassing of the year 9 curriculum.
The game is to be played in groups of 4 or 5.
The game should be completed within a one hour lesson, but may be shorted if necessary.
The questions cover levels 5 to 8. All level 8 questions are marked and, if necessary, can be removed
from the game, depending on the ability of the group.
The score sheets include a column for the students to record the topics of questions they have
answered, in order to assess their strengths and weaknesses.
Resources
Included in booklet to print
Game board
Question cards
Score Sheet
To be provided by school
Jotting paper x no of students playing
Place markers x no of students playing
Felt pens
Dice x 1
Calculators
Please ensure that the felt pens are the same colour as the place markers.
Preparation
Print the following:
Game board (on A3 if possible, if not print question cards A5)
Set of question cards
Score sheet x no of students playing
Rules
Cut out question cards and score sheets.
Separate the question cards into subjects and lay face down on the game board.
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Rules
Each player starts with 50 points.
Each player chooses a place marker and places it on the start square.
The player with the highest role goes first.
The first player roles the dice and moves the indicated number of spaces.
The player then answers a question on the topic of that square.
The question is read by another player who does not own the square.
If the player answers correctly they receive the number of points on the card and own the square.
Ownership of a square is notated by drawing a dot of the same colour of the owners place marker
on the square.
If the player answers incorrectly the number of points on the card are deducted from the player.
If the square is not owned and the player answers incorrectly the square remains not owned.
If the square is owned and the player answers incorrectly the owner of the square may answer the
question. If the owner answers correctly they receive the points on the card. If the owner answers
incorrectly no points are deducted.
If a player lands on a square which they own no points are deducted for an incorrect answer.
Game play continues until all but one of the players are bankrupt, that is have 0 points, or an agreed
target score has been reached by one of the players.
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Bibliography
Mapp, F. C. (2006) KS3 Success Revision Guide Mathematics SATs Levels 5 – 8; London: Letts
Educational
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Appendix
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Score Sheet
Name: Name:
Marker colour: Marker colour:
Points Topic Points Topic
50 50
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Question Cards
Number Number
Name all the factors of 32. Name all the factors of 100.
1, 2, 4, 8, 16, 32 1, 2, 4, 5, 10, 20, 25, 50, 100
Score: 3 Score: 2
Number Number
What is the definition of a prime number? Name all the prime numbers between 10
and 20?
A prime number is a number with only two
factors, 1 and itself. 11, 13, 17, 19
Score: 3 Score: 4
Number Number
5 What is the highest common factor?
What is the reciprocal of ?
6
6 1 The highest common factor is the highest
=1 factor that two numbers have.
5 5
Score: 3 Score: 3
Number Number
What is the lowest common multiple of 6 What are the first 4 squared numbers?
and 8?
1, 4, 9, 16
24
Score: 4 Score: 3
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Number Number
What number is raised to the power 2 to What is a cubed number?
give 36?
A number raised to the power 3.
6
Score: 2 Score: 3
Number Number
Arrange these numbers from smallest to If I multiply a positive number and a negative
largest; -9, 4, 7, -2, 0, 3. number what result do I get?
-9, -2, 0, 3, 4, 7 A negative number.
Score: 1 Score: 3
Number Number
If I multiply a negative number and a What is -18 ÷ (-3)?
negative number what result do I get?
6
A positive number.
Score: 3 Score: 4
Number Number
What is -9 x 2? What is -2 -5?
-18 -7
Score: 4 Score: 3
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Number Number
What is 0.6 ÷ 10? What is 75 x 1000?
0.06 75000
Score: 4 Score: 2
Number Number
3 1 4 2
What is + , express as a mixed number. What is + ?, express as an improper
4 2 6 3
fraction.
1
1
4 8
6
Score: 4 Score: 3
Number Number
5 2 3
What is − ? In a basket of 20 apples are red. How many
7 7 4
apples are red?
3
7 15
Score: 2 Score: 4
Number Number
In a bag of balls there are red, green and What is 5.776 to 2dp?
1 2
yellow balls. of the balls are red, of the
6 3
balls are green. What fraction are yellow? 5.78
1
6
Score: 5 Score: 3
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Number Number
What is 3 x 0.1? Put these numbers order of size from biggest
to smallest; 4.45, 2.34, 3.67, 2.56, 4.32.
0.3
4.45, 4.32, 3.67, 2.56, 2.34
Score: 2 Score: 3
Number Number
Find 45% of £670 18
Express as a percentage.
20
£301.50 90%
Score: 3
Score: 5
Number Number
56 My house is now worth 10% more than
Express as a percentage.
80
when I bought it. I bought it for £120,000,
70% what is it worth now?
£132,000
Score: 4 Score: 5
Number Number
My car decreased in value by 4% each year A shop keeper bought a bag of potatoes for
that I owned it. I bought it in 2002 for £3000 £1.15, he then sold them for £2.25. What
how much did I sell it for in 2006? was his percentage profit?
£2548.04 95.7%
Score: 5 Score: 5
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Number Number
1 Express 0.125 as a percentage.
Express as a percentage.
3
33.3% 12.5%
Score: 3 Score: 2
Number Number
Express 37.5% as a fraction. What is 3 + (5 - 3)?
3 5
8
Score: 5 Score: 3
Number Number
What is 4 + 6 x 5? I need 45m of wood. I can by the wood in
lengths of 4m, how many lengths do I need
34 to buy?
12m
Score: 3 Score: 4
Number Number
In a class there are 12 boys and 18 girls. For every 2 blue tee-shirts, I have 3 green
Express the class as a ratio. tee-shirts. If I have 6 blue tee-shirts how
many green tee-shirts do I have?
2:3
9
Score: 4 Score: 4
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Number Number
The brand of soap power I want to buy The cake recipe that I have gives enough
comes in two sizes. I can buy 800g for £5.30 cake for 3 people, but I need a cake for 7
or I can buy 500g for £3.65. Which option people. The recipe calls for 150g of flour,
represents the best value for money? how much do I need to make a cake for 7
people?
The 800g box.
350g
Score: 5 Score: 5
L8 L8
Number Number
What is 3.560? What is 41?
1 4
Score: 4 Score: 3
L8 L8
Number Number
Express 47 x 45 in indices form. Write 0.00876 in standard form
8.76x10-3
12
4
Score: 3 Score: 3
L8 L8
Number Number
What is 4.878 x 103? What is 4.32 x 10-3?
487.8 0.00432
Score: 3 Score: 4
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Algebra Algebra
Expand the brackets 4(ad + d) + a(d+3f) Solve the inequality 5 – x ≤ 3x + 2
5ad + 4d + 3af 3
x≤
4
Score: 4
Score: 4
Algebra Algebra
Danielle has s number of shoes. Rachael has Simplify 5a +2a – 7b.
3 times as many necklaces, write a formula
to express this. 7a – 7b
S = 3n
Score: 3 Score: 2
Algebra Algebra
Simplify 3n x 4m. If a = 2, n = 6, f = 0.5,
Find the value of f(12a – 3n).
12nm
3
Score: 3 Score: 4
Algebra Algebra
Expand the brackets 3(d+2a). Expand the brackets (x+2)(x+4).
3d + 6a x2 + 6x + 8
Score: 2 Score: 4
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Algebra Algebra
Expand the brackets (y+3)2. Factorise 6j + 18.
y2 + 6y + 9 6(j+3)
Score: 5 Score: 2
Algebra Algebra
Factorise x2 -16. Make k the subject of the formula
k
j= + 5.
2a
(x-4)(x+4)
k = 2a(j − 5)
Score: 5 Score: 4
Algebra Algebra
Solve the equation 4(2x + 1) = 20. Solve the simultaneous equations:
2a – 4b = 2
x=2 6a – 10b = 8
a = 3, b = 1
Score: 4 Score: 4
Algebra Algebra
Name this common number pattern: Solve the inequality 3(2x – 7) > -3 +5x.
1, 1, 2, 3, 5, 8, 13...
x > 18
Fibonacci sequence
Score: 4 Score: 4
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Algebra Algebra
Find the nth term of the sequence: Find the nth term of the sequence:
6, 10, 14, 13, 16... 4, 10, 20, 34, 52...
4n + 2 2n2 + 2
Score: 4 Score: 5
Algebra Algebra
Sketch an x2 graph. Sketch a –x2 graph.
Score: 3 Score:4
L8 L8
Algebra Algebra
Sketch an x3 graph. 1
Sketch a graph.
𝑥𝑥
Score: 5 Score: 5
Shape, space and measurement Shape, space and measurement
How many sides does a pentagon have? How many lines of symmetry does a regular
hexagon have?
5
6
Score: 1 Score: 2
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Shape, space and measurement Shape, space and measurement
What size are the angles in an equilateral How many angles are equal in an isosceles
triangle? triangle?
60° 2
Score: 2 Score: 2
Shape, space and measurement Shape, space and measurement
What is a chord? What is an arc?
A chord is a straight line that joins two points An arc is a part of the circumference.
on the circumference.
Score: 4 Score: 3
Shape, space and measurement Shape, space and measurement
What is the formula linking radius and What is an acute angle?
diameter?
An angle between 0° and 90°
d = 2r
Score: 4 Score: 3
Shape, space and measurement Shape, space and measurement
What is a reflex angle? Finish the sentence:
Angles at a point add up to...
An angle between 180° and 360°
360°
Score: 3 Score: 4
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Shape, space and measurement Shape, space and measurement
Finish the sentence: Finish the sentence:
Angles in a quadrilateral add up to... Angles in a triangle add up to...
360° 180°
Score: 5 Score: 4
Shape, space and measurement Shape, space and measurement
Finish the sentence: Finish the sentence:
Alternate angles are... Corresponding angles are...
Equal Equal
Score: 5 Score: 5
Shape, space and measurement Shape, space and measurement
What is tessellation? What is the difference between an angle and
a bearing?
Tessellation is a pattern of 2d shapes which
fit together perfectly. A bearing is measured from north; an angle
is measured between two lines.
Score: 4 Score: 5
Shape, space and measurement Shape, space and measurement
What is the axis of reflection? Write down Pythagoras’ theorem.
The line which a mirror would be placed to a2 + b2 = c2
reflect the shape.
Score: 4 Score: 4
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Shape, space and measurement Shape, space and measurement
Using Pythagoras’ theorem find the length of Point A is at (3,4), point B is at (6,7) what is
the hypotenuse if a = 4cm and b= 5cm the length of line AB?
41 18
Score: 3 Score: 5
Shape, space and measurement Shape, space and measurement
Sine= Cosine=
𝑂𝑂 𝐴𝐴
𝐻𝐻 𝐻𝐻
Score: 4 Score: 4
Shape, space and measurement Shape, space and measurement
Tangent = Change 456cm into m.
𝑂𝑂 4.56m
𝐴𝐴
Score: 4 Score: 2
Shape, space and measurement Shape, space and measurement
If it takes Jill 30 minutes to walk 2km, how What is the area of a rectangle?
fast is she travelling?
A = lw
1.11 m/s
Score: 5 Score: 2
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Shape, space and measurement Shape, space and measurement
What is the area of a triangle? What is the area of a trapezium?
A = 0.5 x base x perpendicular height. A = 0.5(a+b)h
Score: 3 Score: 4
Shape, space and measurement Shape, space and measurement
A parallelogram with base 3cm and What is the formula for the circumference of
perpendicular height 4cm, what is its area? a circle?
12cm C = πd or C = 2πr
Score: 5 Score: 4
Shape, space and measurement Shape, space and measurement
The area of a shape is 3cm. If the lengths are What is the volume of a prism?
enlarged by scale factor 3 what is the new
area? Volume = area of cross section x length
V = al
27cm3
Score: 5 Score: 4
L8
Shape, space and measurement Shape, space and measurement
A cylinder has a radius of 2cm and a height Does this formula represent a length, area or
of 5cm. What is its volume? volume?
6ab + c2
20π or 62.8
Area
Score: 5 Score: 5
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Handling Data Handling Data
If the probability that it will snow is 0.75, There are 2 blue balls, 3 yellow balls and 5
what is the probability that it will not snow? red balls in a bag, what is the probability of
choosing a red ball out of the bag? Express
0.25 as a decimal.
0.5
Score: 3 Score: 4
Handling Data Handling Data
The probability of getting the wrong change There are 2 blue balls, 3 yellow balls and 5
1 red balls in a bag, what is the probability of
in a shop is 5. What is the probability of
getting the wrong change in two different choosing a red ball or a yellow ball out of the
shops? bag? Express as a decimal.
1
25 0.8
Score: 4 Score: 5
Handling Data Handling Data
What is discrete data? What is continuous data?
Data which can only take particular values, Data that can take any value in a given
often whole numbers gained from counting range, often found by measuring.
Score: 4 Score: 4
Handling Data Handling Data
What is primary data? What is secondary data?
Data you collected yourself. Data collected by another group.
Score: 3 Score: 3
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Handling Data Handling Data
What is a hypothesis? What is a positive correlation?
A prediction which can be tested by doing a A graph showing both values increasing.
survey.
Score: 5 Score: 4
Handling Data Handling Data
What is negative correlation? What is zero correlation?
A graph showing one value decreasing as the There is no relationship between the values
other increases. on the graph.
Score: 4 Score: 4
Handling Data Handling Data
What is the mean? What is the median?
Mean = sum of the values divided by the The median is the middle value when the
number of values used. numbers are put in order of size.
Score: 3 Score: 4
Handling Data Handling Data
What is the mode? What is the range?
The mode is the value that occurs most Range = highest value – lowest value
often.
Score: 3 Score: 3
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L8
Handling Data Handling Data
What is the interquartile range? Finish the sentence:
All probabilities lie between the values of...
Interquartile range = upper quartile – lower
quartile. 0 and 1
Score: 5 Score: 3
L8 L8
Handling Data Handling Data
What is the upper quartile? What is the lower quartile?
The upper quartile is the value covering the The upper quartile is the value covering the
3 1
first of the distribution. first of the distribution.
4 4
Score: 4 Score: 4
Handling Data Handling Data
What are independent events? What are mutually exclusive events?
In two independent events, the second In mutually exclusive events the second
outcome is not altered by the first outcome. outcome is affected by the first outcome.
Score: 3 Score: 3
Handling Data Handling Data
The letters: M A T H O L O P Y, are placed in a The probability of getting a grade C at GCSE
bag, what is the probability of picking out an is 9%, what is the probability of not getting a
O? grade C?
2 91%
9
Score: 3 Score: 5
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