PAPER

B
2012
Mark only ONE answer for each question.
Your score will be the number of correct answers.
Marks are NOT deducted for incorrect answers.

MATHEMATICS
There are 40 MULTIPLE-CHOICE QUESTIONS (1–40).
Use the information provided to choose the BEST answer from
the four possible options.

You may use a ruler and spare paper.

DO NOT OPEN THIS BOOKLET You are NOT allowed to use a calculator.
UNTIL INSTRUCTED.
40 QUESTIONS
TIME ALLOWED: 45 MINUTES

STUDENT’S NAME:

Educational Assessment Australia

eaa.unsw.edu.au
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 1. Joe made this pattern. 2. The teacher asked Lin to pick the toy on
the right-hand side of the middle shelf.

Which toy must Lin pick?

(A) (B)

(C) (D)

3. Mike had a bottle full of water. He poured

all of the water into an empty glass. This
filled the glass completely.
? Which of these statements about the bottle
and the glass MUST be true?
What comes next in this pattern?
(A) They have the same mass.
(B) They have the same weight.
(C) They have the same height.
(D) They have the same capacity.
(A) (B)

(C) (D)

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4. Sasi traced her key. 6. Which of the following spinners has more
chance of landing on white than on grey?

Which of these could be Sasi’s key?

(A) (B)
(A)

(B)

(C) (D)
(C)

7. From where Mike is standing, he walks in

a straight line to the tree.
(D)
N

Mike
5. Fadi is planning a party for 16 people. He
wants to buy party hats for them.

Party hats are sold in packets of five hats.

Fadi wants everyone to have a party hat. In which direction does Mike walk?
What is the smallest number of packets he (A) north-east
must buy? (B) north-west
(C) south-east
(A) 3
(D) south-west
(B) 4
(C) 11
(D) 16

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 8. Ann has a ten-dollar note. She wants to 10. This is a square centimetre.
buy an ice-cream that costs $3.40.

How many square centimetres will

cover this rectangle with no gaps or
overlapping?

How much change should she receive?

(A) 6
(A) $3.40 (B) 8
(B) $6.60 (C) 10
(C) $7.40 (D) 12
(D) $7.60

11. Class A, Class B and Class C all have

9. Mike is comparing the mass of his three some glass and plastic cups to use for
pets. science experiments.

kitten duck The teacher counted the cups.

She recorded the numbers in this
table, but some values are missing.
rabbit kitten
Class Class Class
Cup Total
A B C
Which option lists Mike’s pets in order Glass 8 20
from biggest mass to smallest mass? Plastic 14 13
(A) duck, kitten, rabbit Total 17 28
(B) kitten, rabbit, duck
(C) rabbit, duck, kitten How many cups did the teacher count?
(D) rabbit, kitten, duck
(A) 45
(B) 79
(C) 100
(D) 158

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12. Lin has to solve this problem. 14. Lin exercises from 6:45 am to 7:10 am
every day of the week.
Find the number that is 75 less than
112, then double this number.

What is the answer to Lin’s problem?

(A) 37
(B) 74
(C) 86
(D) 150

For how long does Lin exercise each

13. Which jug contains exactly 200 mL of week?
liquid?
(A) 2 hours 55 minutes
(B) 2 hours 15 minutes
1000 mL 2L (C) 1 hour 45 minutes
(D) 1 hour 25 minutes

15. This graph shows the number of boys and

(A) (B)
girls who take different sports at Sunnyville
School.

Sport at Sunnyville School

500 mL 400 mL
50
45
Number of students

40
35
30
(C) (D) 25
20
15
10
5
0
basketball softball swimming tennis
Sport
KEY
boys girls

Which sport is taken by the least number

of students?

(A) basketball
(B) softball
(C) swimming
(D) tennis

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 16. Fadi drew this shape. 18. This is a number pattern.

209
228
247
266
285
Which of these shows Fadi’s shape flipped ??
and turned?
323
342
361
380

What is the missing number?

(A) (B) (A) 294
(B) 296
(C) 304
(D) 306

19. Joe wrote this calculation.

139 × 6 - 134
(C) (D)
Which of these will give the same answer?

17. This diagram shows a fence around a (A) 139 × 7 - 5

garden. Some of the measurements are (B) 139 × 5 + 5
not shown. (C) 140 × 5 + 5
(D) 140 × 6 - 128

28 m 18 m

13 m
10 m

15 m

What is the length of the fence?

(A) 56 m
(B) 84 m
(C) 112 m
(D) 140 m

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20. A snail was crawling along a ruler. 22. Which clock shows 10 minutes after 9:30?

12 12
11 1 11 1
10 2 10 2

9 3 9 3

MM 8 4 8 4
0 10 20 30 40 50 7
6
5 7
6
5

(A) (B)
Fully stretched, the end of the snail’s tail
was on the 14 mm mark and its head just
12 12
reached the 28 mm mark on the ruler. 11 1 11 1
10 2 10 2

9 3 9 3
Then the snail crawled to the right and
8 4 8 4
stretched itself again. The end of its tail 7 7
5 5
6 6
was now on the 18 mm mark.
(C) (D)
What mark on the ruler did the snail’s
head reach?

(A) 24 mm 23. The chart shows how the water level in a

(B) 32 mm harbour changed on a particular day.
(C) 34 mm Water Level on a Day
(D) 36 mm
1.6
Water level (m)

1.4
1.2
21. Jake drew this picture of himself. 1.0
0.8
0.6
0.4
0.2
0.0
midnight 04:00 08:00 12:00 16:00 20:00 midnight

Time

What was the difference between the

Which of these is a mirror image of Jake’s highest and the lowest water level?
picture?
(A) 0.1 m
(B) 0.7 m
(C) 0.9 m
(D) 1.3 m

(A) (B) (C) (D)

(A) (B) (C) (D)

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 24. A class voted on whether they wanted a 26. Which of these shapes is a pentagon?
new school uniform.

This table shows the results.

YES votes NO votes

Boys llll llll llll l
\ \

\ \
\
(A) (B)
Girls llll llll llll
\

What fraction of the girls did not want a

new uniform?

1 1
(A) (B)
2 3 (C) (D)
5 5
(C) (D)
11 31
27. Arvind is making a pattern of shapes out
of tiles.
25. Luisa brought a basket of 30 small
chocolate eggs to school.

shape 1
1 tile shape 2
7 tiles shape 3
19 tiles

How many tiles will be in shape 4?

(A) 18
(B) 31
She kept four eggs for herself. (C) 37
(D) 43
Then she gave two eggs to each of her
friends.
28. Sasi walks 600 steps from her house to
She had six eggs left over. reach her school.

To how many friends did Luisa give the Each of Sasi’s steps measures 40 cm.
eggs?
How far does Sasi walk to school?
(A) 20
(B) 16 (A) 15 m
(C) 10 (B) 24 m
(D) 7 (C) 240 m
(D) 1500 m

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29. Joe was given this subtraction. 32. Which shape has NO lines of symmetry?

?? 6
2 
-1 3 7
1 1 9

What is the missing number?

(A) 2 (A) (B)

(B) 3
(C) 4
(D) 5

30. In the local library there is a set of 14

dictionaries on a shelf as shown.
(C) (D)
The picture is drawn to scale.

33. Sean had 24 coloured pencils.

He was given a new set of coloured

pencils which contained twice as many
as he already had.
V1 V2 V3 V4 V5 V6 V7 V8 V9 V10 V11 V12 V13 V14

Sean gave 11 coloured pencils to each of

his three sisters.

How many pencils did he now have?

Each dictionary has a width of 2.5 cm.
(A) 36
About how wide is the shelf? (B) 37
(C) 39
(A) 35 cm (D) 61
(B) 50 cm
(C) 60 cm
(D) 70 cm 34. Mike thinks of two numbers.

When he adds the two numbers, the

31. In Mrs Smith’s class there are 10 boys result is 15. When he multiplies the two
and 11 girls. Each student brought 2 numbers, the result is 54.
strawberries and 12 blueberries to a
picnic. Which of these is the smaller of the two
numbers?
How many berries did the students bring
altogether? (A) 3
(B) 6
(A) 35 (C) 9
(B) 152 (D) 12
(C) 294
(D) 300

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 35. ? be?
What number should ? 38. Which option shows three shapes that
can make a rectangle when they are all
1 joined?
0 1
2 ?

4
(A) (B) 3 (A)
5 4

7
(C) (D) 9
8 10
(B)

36. Half a litre of milk fills 2 cups.

How many cups can be filled with 3 litres (C)

of milk?

(A) 1 21
(B) 3
(C) 6 (D)
(D) 12

37. Which card should be removed so the

remaining cards make a pattern? 39. At an amusement park, there are small
rides and big rides.

Each small ride costs 3 tickets.

(A) (B) (C) (D) Each big ride costs 5 tickets.

Lin has 43 tickets.

What is the largest number of rides Lin

can have if she uses all her tickets?

(A) 9
(B) 11
(C) 13
(D) 14

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40. This soccer ball is made of 12 black
pentagonal panels and 20 white
hexagonal panels.

There are 90 edges where the panels are

joined together.

How many edges join two white panels?

(A) 20
(B) 30
(C) 40
(D) 60

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© 2012 COPYRIGHT
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 ICAS MATHS 2012 PAST PAPER KEYS
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