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8/9/2019 Mathematics Pap Ere
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EPAPER
DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.
STUDENT’S NAME:
Read the instructions on the ANSWER SHEET and fill in yourNAME, SCHOOL and OTHER INFORMATION.Use a 2B or B pencil.Do NOT use a pen.Rub out any mistakes completely.
You MUST record your answers on the ANSWER SHEET.
MMMark only ONE answer for each question.Your score will be the number of correct answers.Marks are NOT deducted for incorrect answers.
MULTIPLE-CHOICE QUESTIONS:
Use the information provided to choose the BEST answer fromthe four possible options.On your ANSWER SHEET fill in the oval that matches your answer.
FREE-RESPONSE QUESTIONS:
Write your answer in the boxes provided on the ANSWER SHEET
and fill in the oval that matches your answer
You may use a ruler and spare paper.You are NOT allowed to use a calculator.
P r a c t i c e
Q u e s t i o n s
nternationalompetitionsand ssessments for chools
8/9/2019 Mathematics Pap Ere
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1. Below is a temperature scale ranging from
0 °C to 100 °C.
Which point on the scale would be closest
to the temperature of an ice-cream?
(A)
0 °Cfreezing
point of
water
human body
temperature
boiling point
of water
37 °C 100 °C
(B) (C) (D)
2. 5 × 50 = ?
(A) 2 500
(B) 1 000
(C) 250
(D) 100
3. Which one of the following numbers is
four hundred thousand, six hundred and
two?
(A) 400 062
(B) 400 602
(C) 406 002
(D) 406 602
4. Blake made up the following code.
1 2 3 4 5 6 7 8 90
To read his coded numbers you startat the top left corner and read each line
from left to right.
Which of the following codes correctly
shows the number 957 286 304?
(B)(A)
(D)(C)
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5. Lyn built a model of a shed. It had no
floor and no door. It looked like this when
it was finished.
Which of the following shows the shapes
that Lyn used to build the shed?
6. Look at the number grid below.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
Trent shaded the numbers 1, 4, 8,13
and 19 in that order.
Which number would he shade next if he
followed the same pattern?
(A) 24
(B) 25
(C) 26
(D) 27
7. A snail travelled 1.5 metres in 4 hours.
If the snail continued at the same speed,
how far would it travel in 160 minutes?
(A) 60 cm
(B) 100 cm
(C) 150 cm
(D) 600 cm
8. A set of three cogs turns as shown below.
12
4
8
Cog X
Cog Z
Cog Y
If Cog X makes 15 complete revolutions,
how many revolutions do Cog Y and
Cog Z make at the same time?
Cog Y Cog Z
(A) 7
(B) 30
30
10
10(C)
(D)
12
7 12
22 12
22 12
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9. This sign can turn about its centre.
It makes a three-quarter turn in aclockwise direction and then a half turn in
an anticlockwise direction.
Which picture shows the sign after
these turns?
(A) (B) (C) (D)
10. A cube has a volume of 343 cm3.
What is the sum of the lengths of the
edges of the cube, in cm ?
END OF PAPER
QUESTION10ISFREERESPONSE.
Writeyouranswerintheboxesprovidedon
theANSWERSHEETandfllintheovalsthat
matchyouranswer.
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This page may be used for working.
8/9/2019 Mathematics Pap Ere
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EPAPER
The following year levels should sit THIS Paper:
Australia Year 7
Brunei Form 1
Hong Kong Form 1
Indonesia Year 8
Malaysia Form 1
New Zealand Year 8
Pacic Year 7
Singapore Primary 6
South Africa Grade 7
THE UNIVERSITY OF NEW SOUTH WALES
EducationalAssessment
Australiaeaa.unsw.edu.au
© 2010 ducational ssessment ustralia. is an education group of UNW Global Pty
Limited, 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.
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8/9/2019 Mathematics Pap Ere
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8/9/2019 Mathematics Pap Ere
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QUESTION KEY SOLUTION STRANDLEVEL OFDIFFICULTY
1 A
The temperature of an ice-cream is very closeto the freezing point of water (0 °C). Noticingthe given scale, the closest point to 0 °C isoption A.
Measurement Easy
2 C Multiplying 5 by 50 gives 250. Number and Arithmetic
Easy
3 B
This number should have 6 digits. If we write itusing expanded notation, we should have400 000 + 600 + 2. In other words, it is400 602.
Number and Arithmetic
Easy
4 C
Reading the code from left to right from theupper left corner and using the key provided,option C is the only code that shows correctlyall digits of the given number.
Number and Arithmetic
Easy
5 A The 3D shape is made of four rectangles andtwo pentagons.
Measurement Medium
6 C
Trent made his pattern by skipping squaressystematically by 2, then 3, then 4, then5 squares.Following this pattern, he will skip 6 squaresto shade the next square. Therefore, the nextshaded number in Trent’s pattern will be 26.
Number and Arithmetic
Medium
7 B
Convert hours to minutes and m to cm first.
The snail travelled 1.5 m in 4 hours. That is
equal to 150 cm in 240 min.
Distance travelled in 1 min =150
240 cm
Distance travelled in 160 min =150
240× 160 cm
= 100 cm
Number and Arithmetic
Hard
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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
8 B
The ratio of the number of teeth on thecogs can be expressed as a ratio of theircircumference which in turn can be expressedas a ratio of their radii.X:Y:Z = 8 : 4 : 12 = 1 : ½ : 3/2Cog X has twice the number of teeth as cog Y,so when cog X makes a complete revolution,
cog Y must make 2 revolutions.Cog X has 2/3 of the number of teeth of cog Z, so when cog X makes a completerevolution, cog Z makes 2/3 revolutions. Whencog X makes 15 revolutions, cog Y makes 30revolutions and cog Z makes 10 revolutions.
Algebra and
Pattern
Medium/Hard
9 A
The difference between ¾ and ½ is ¼.Therefore, if we turn the sign ¾ turn clockwise,, then ½ turn anticlockwise, , then theresult will be the same as just turning the sign
¼ turn clockwise.
Space andGeometry
Hard
10 84
If a cube has a volume of 343 cm3 then its edgelength is 7 cm. There are 12 edges on a cube,so the total length of the edges is 7 × 12 =84 cm
Measurement Hard