De thi toan o Uc 5

Reading the code from left to right from the upper left corner and using the key provided, option C is the only code that shows correctly all digits of the given number. Number and[r]

Trang 1

E PAPER

DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED.

STUDENT’S NAME:

Read the instructions on the ANSWER SHEET and fill in your NAME, 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.

MatheMatics Mark 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 from

the 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.

international competitions and assessments for schools

Trang 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 °C

freezing

point of

water

human body temperature boiling pointof water

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.

0

(B) (A)

(D) (C)

To read his coded numbers you start

at the top left corner and read each line from left to right.

Which of the following codes correctly shows the number 957 286 304?

0

(B) (A)

(D) (C)

Trang 3

3 ICAS Mathematics Practice Questions Paper E © EAA

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.

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

30

10 10 (C)

(D)

1 2

7 12

22 12

Trang 4

9 This sign can turn about its centre.

It makes a three-quarter turn in a

clockwise direction and then a half turn in

an anticlockwise direction

Which picture shows the sign after

these turns?

10 A cube has a volume of 343 cm3.

What is the sum of the lengths of the

edges of the cube, in cm ?

QUESTION 10 IS FREE RESPONSE.

Write your answer in the boxes provided on the ANSWER SHEET and fill in the ovals that match your answer.

Trang 5

5 ICAS Mathematics Practice Questions Paper E © EAA

This page may be used for working.

Trang 6

PAPER

The following year levels should sit THIS Paper:

Educational Assessment Australia

Acknowledgment

copyright in this booklet is owned by educational

assessment australia, UNsW Global Pty Limited, unless

otherwise indicated every effort has been made to trace and

acknowledge copyright educational assessment australia

apologises for any accidental infringement and welcomes

information to redress the situation.

Trang 7

A B C D E F G H I J K L M N O P Q R S T

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

V

W

X

Y

Z

’

–

/

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

V W X Y Z

’

– /

FIRST NAME to appear on certificate LAST NAME to appear on certificate

Are you male or female?

Does anyone in your home usually speak a language other than English?

School name:

Town / suburb:

Today’s date: Postcode:

CLASS DATE OF BIRTH

Day Month Year

0 1 2 3

0 1 0 1 2 3

5 6 7 8 9 4

0 1 2 3

5 6 7 8 9 4

0 1 2 3

5 6 7 8 9 4

0 1 2 3

5 6 7 8 9 4

(optional)

A B C D E F G H I J

K L M N O P Q R S T

HOW TO FILL OUT THIS SHEET:

• Rub out all mistakes completely.

• Print your details clearly

in the boxes provided.

• Make sure you fill in only

one oval in each column.

EXAMPLE 1: Debbie Bach

FIRST NAME LAST NAME

A B C D

EXAMPLE 2: Chan Ai Beng

A B C D

EXAMPLE 3: Jamal bin Abas

A B C D

International Competitions

and Assessments for Schools

PRA

CTICE Q

UES

TIONS

*045907*

PaPer

E

Trang 8

D C B

A

D C B

A

D C B

A

D C B

A

D C B

A

D C B

A

D C B

A

D C B

A

D C B

A

1

2

3

4

5

6

7

8

9

START

0

1

2

3

5

6

7

8

9

4

0

1

2

3

5

6

7

8

9

4

0 1 2 3

5 6 7 8 9 4

10

TO ANSWER THE QUESTIONS

MULTIPLE CHOICE FREE RESPONSE

Example: 4 + 6 = Example: 6 + 6 =

The answer is 10, so fill in the oval , as shown.C

D C

B

A

0 1 2 3 5 6 7 8 9 4

1 2

Trang 9

The temperature of an ice-cream is very close

to the freezing point of water (0 °C) Noticing the given scale, the closest point to 0 °C is option A

Measurement Easy

2 C Multiplying 5 by 50 gives 250 Number and Arithmetic Easy

This number should have 6 digits If we write it using expanded notation, we should have

400 000 + 600 + 2 In other words, it is

400 602

Number and Arithmetic Easy

Reading the code from left to right from the upper left corner and using the key provided, option C is the only code that shows correctly all digits of the given number

Number and Arithmetic Easy

5 A The 3D shape is made of four rectangles and two pentagons. Measurement Medium

Trent made his pattern by skipping squares systematically by 2, then 3, then 4, then

5 squares

Following this pattern, he will skip 6 squares

to shade the next square Therefore, the next shaded number in Trent’s pattern will be 26

Number and Arithmetic Medium

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 = 150240 cm 150240 × 160 Distance travelled in 160 min = 150

240 150240 × 160 cm = 100 cm

Number and Arithmetic Hard

Trang 10

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

The ratio of the number of teeth on the cogs can be expressed as a ratio of their circumference which in turn can be expressed

as a ratio of their radii

X:Y:Z = 8 : 4 : 12 = 1 : ½ : 3/2 Cog 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 complete revolution, cog Z makes 2/3 revolutions When cog X makes 15 revolutions, cog Y makes 30 revolutions and cog Z makes 10 revolutions

Algebra and Pattern Medium/Hard

The difference between ¾ and ½ is ¼

Therefore, if we turn the sign ¾ turn clockwise,

, then ½ turn anticlockwise, , then the result will be the same as just turning the sign

¼ turn clockwise

Space and Geometry Hard

If a cube has a volume of 343 cm3 then its edge length is 7 cm There are 12 edges on a cube,

so the total length of the edges is 7 × 12 =

84 cm

Measurement Hard

Định dạng
Số trang	10
Dung lượng	1,72 MB