mathematics pap ere

8/9/2019 Mathematics Pap Ere

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EPAPER

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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:

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FREE-RESPONSE QUESTIONS:

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P r a c t i c e

Q u e s t i o n s

nternationalompetitionsand ssessments for chools


http://slidepdf.com/reader/full/mathematics-pap-ere 2/10ICAS Mathematics Practice Questions Paper E © EAA 2

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

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EPAPER

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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.


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.


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


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

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

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