MathematicsPaperD

8/9/2019 MathematicsPaperD

http://slidepdf.com/reader/full/mathematicspaperd 1/10


http://slidepdf.com/reader/full/mathematicspaperd 2/10ICAS Mathematics Practice Questions Paper D © EAA 2

1. Maree shaded some squares on a grid.

How many more squares would Mareeneed to shade so that half of this grid wasshaded?

(A) 15(B) 30(C) 35(D) 50

2. Sarah has $5 to spend on lunch.

O r angeO r ange

orange juice$1.50

bun$2.00

salad sandwich$2.50

apple65c

If she buys one salad sandwich, whichother two things could she buy?

(A) one orange juice and one apple(B) one orange juice and one bun(C) two orange juices

(D) one apple andonebun

3. Laura has a lunch break from 11:50 amto 1:20 pm.

How long is Laura’s lunch break?

(A) half an hour (B) one hour and twenty minutes(C) one and a half hours(D) two and a half hours

4. What is the missing number in thisnumber pattern?

2 7 9 16 41 66?

(A) 24(B) 25(C) 34(D) 35


http://slidepdf.com/reader/full/mathematicspaperd 3/103 ICAS Mathematics Practice Questions Paper D © EAA

5. Alice wants to build a fence around her rectangular guinea pig pen.

width

length

NOT TO SCALE

She has 360 cm of fencing.

What width will give the largest area?

(A) 120 cm(B) 90 cm(C) 80 cm(D) 30 cm

6. Here are three number patterns.

3,6,9,12, . . .

5,9,13,17, . . .3,10,17,24, . . .

If these three patterns are continued,what is the first number that they wouldall have in common?

(A) 21(B) 33(C) 45

(D) 81

7. Joel sold chocolate bars to raise moneyfor his school. Each chocolate bar wassold for $2.00. The school received40 cents for each chocolate bar sold.

If Joel raised $56.00 for his school, howmany chocolate bars in total did he sell?

(A) 28(B) 112(C) 140(D) 280

8. Elle divided a bag of jellybeans among her friends. She gave one-third to Fiona,one-quarter to Rick and kept 35 jellybeansfor herself.

How many jellybeans did Elle start with?

(A) 49(B) 60(C) 72(D) 84

9. Maria glued some cubic blocks together to make three separate solids. Maria’sthree solids fit together to make a larger cube.

Which of these is not one of Maria’ssolids?

(A) (B)

(C) (D)


http://slidepdf.com/reader/full/mathematicspaperd 4/10ICAS Mathematics Practice Questions Paper D © EAA 4

10. Here is the start of a pattern.

6

34

9

2

3

The number below each triangle givesthe total number of dots on the triangle.

The number inside the triangle gives thenumber of dots on each side of the triangle.

When the total number of dots on atriangle in this pattern is 72, how manydots are there on each of its sides?

END OF PAPER

QUESTION10ISFREERESPONSE.

Writeyouranswerintheboxesprovidedon

theANSWERSHEETandfllintheovalsthat

matchyouranswer.



This page may be used for working.



DPAPER

The following year levels should sit THIS Paper:

Australia Year 6

Brunei Primary 6

Hong Kong Primary 6

Indonesia Year 7

Malaysia tandard 6

New Zealand Year 7

Pacic Year 6

Singapore Primary 5

South Africa Grade 6

THE UNIVERSITY OF NEW SOUTH WALES

EducationalAssessment

Australiaeaa.unsw.edu.au

© 2010 ducational ssessment ustralia.

is an education group of UNW Global PtyLimited, a not-for-prot provider of education,

training and consulting services and a wholly

owned enterprise of the University of Newouth Wales. BN 62 086 418 582

Acknowledgment

opyright in this booklet is owned by ducational

ssessment ustralia, UNW Global Pty Limited, unless

otherwise indicated. very effort has been made to trace and

acknowledge copyright. ducational ssessment ustralia

apologises for any accidental infringement and welcomes

information to redress the situation.







QUESTION KEY SOLUTION STRANDLEVEL OFDIFFICULTY

1 C

There are 10 × 10 = 100 squares. Half of 100 is 50. Maree has already shaded 15 so sheneeds to shade 35 squares more (50 – 15 =35).

Number and Arithmetic

Easy

2 A

$5 (lunch money) - $2.50 (sandwich) = $2.50remaining$1.50 (juice) + $0.65 (apple) = $2.15, so thereis $0.35 change All other options require more than the initial$5 lunch money.


Easy

3 C

From 11:50 am to 1:50 pm is one and a half hours. From 11:50 am to 12:50 pm there is onehour, then from 12:50 pm to 1 pm there are10 minutes and from 1 pm to 1:20 pm there are

20 minutes. Altogether it is 1 hour and30 minutes (1 hour + 10 minutes + 20 minutes).

Measurement Easy

4 B

The triangles contain a number which is thesum of the numbers in the two precedingtriangles.2 + 7 = 9 and 7 + 9 = 16. The missingnumber is 9 + 16 = 25.

Algebra andPatterns

Medium

5 BIf the width of the pen was 90 cm then thelength would be 90 cm also.90 × 90 = 8 100 cm

2

Measurement Medium

6 C

The first pattern is made by adding 3 to theprevious number, with 3 as the initial number.The second pattern is made by adding 4 to theprevious number, with 5 as the initial number.The third pattern is made by adding 7 to theprevious number, with 3 as the initial number.Continue all three patterns until you find acommon number. The number 45 is the firstcommon number in the three patterns.

Algebra andPatterns

Medium

7 C

Divide the total amount of money raised forthe school by the amount received by theschool for each chocolate bar sold.$56 = 5 600 cents (56 × 100)5600 cents ÷ 40 cents = 140 Joel sold 140 chocolate bars.


Medium/Hard



8 D

Elle gave away one-third and one-quarter of her jellybeans. The fraction she kept is equalto:1 − (1/3 +1/4) = 5/12.If 35 equals 5/12 of the total, then 1/12 of thetotal is 7. The total is 12 × 7=84.

Algebra andPattern

Hard

9 A

Solid (A) has 8 blocks. Solids (B) and (C) have11 blocks each. Solid (D) has 5 blocks.The blocks add up 11 + 11 + 5 = 27 blocks.This is the number in a 3 × 3 × 3 cube. Alsothe largest number of blocks in a row is 3 togive another clue to the size of the cube. SoSolid (A) with 8 blocks cannot be part of thebigger cube.

Space andGeometry

Hard

10 25

To solve this, find the pattern then test it onthe examples given.

Number of dots on each side = total numberof dots ÷ 3 + 1= 72 ÷ 3 + 1= 25

Algebra andPattern Hard

Level of difficulty refers to the expected level of difficulty for the question.

Easy more than 70% of candidates will choose the correct option

Medium about 50–70% of candidates will choose the correct option

Medium/Hard about 30–50% of candidates will choose the correct option

Hard less than 30% of candidates will choose the correct option

Date post:	29-May-2018
Category:	Documents
Upload:	allwin2002au
View:	216 times
Download:	0 times

MathematicsPaperD

Documents