De thi toan o Uc 4

eaa is an education group of UNsW Global Pty Limited, a not-for-profit provider of education, training and consulting services and a wholly owned enterprise of the University[r]

Trang 1

D 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

international competitions and assessments for schools

Trang 2

1 Maree shaded some squares on a grid.

How many more squares would Maree

need to shade so that half of this grid was

shaded?

(A) 15

(B) 30

(C) 35

(D) 50

2 Sarah has $5 to spend on lunch.

Orange

orange juice

$1.50

bun

$2.00

salad sandwich

$2.50

apple 65c

If she buys one salad sandwich, which

other 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 and one bun

3 Laura has a lunch break from 11:50 am

to 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 this number pattern?

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

Trang 3

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 would

all have in common?

(A) 21

(B) 33

(C) 45

(D) 81

7 Joel sold chocolate bars to raise money

for his school Each chocolate bar was

sold for $2.00 The school received

40 cents for each chocolate bar sold.

If Joel raised $56.00 for his school, how

many chocolate bars in total did he sell?

(A) 28

8 Elle divided a bag of jellybeans among her friends She gave one-third to Fiona, one-quarter to Rick and kept 35 jellybeans for 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’s three solids fit together to make a larger cube.

Which of these is not one of Maria’s

solids?

Trang 4

10 Here is the start of a pattern.

6

9

2

3

The number below each triangle gives the total number of dots on the triangle The number inside the triangle gives the number of dots on each side of the triangle When the total number of dots on a

triangle in this pattern is 72, how many dots are there on each of its sides?

END OF PAPER

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

This page may be used for working.

Trang 6

D PAPER

The following year levels should sit THIS Paper:

THE UNIVERSITY OF NEW SOUTH WALES

Educational Assessment Australia

eaa.unsw.edu.au

© 2010 educational assessment australia eaa is an education group of UNsW Global Pty Limited, a not-for-profit provider of education, training and consulting services and a wholly owned enterprise of the University of New south Wales aBN 62 086 418 582

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?

Male Female

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

CLASS DATE OF BIRTH

Day Month Year

0 1 2 3

0 1 0 1 2 3

0 1 2 3

(optional)

A B C D

K L M N

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

M THE UNIVERSITY OF NEW SOUTH WALES

International Competitions

and Assessments for Schools

PRA

CTICE Q

UES

TIONS

*045906*

PaPer

D

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

Your privacy is assured as EAA fully complies

with appropriate Australian privacy legislation

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

International Competitions and Assessments for Schools M

PaPer

D

TO ANSWER THE QUESTIONS

MULTIPLE CHOICE FREE RESPONSE

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

(C) 10 ● Write only ONE digit in each box,

(D) 24 as shown, and fill in the correct oval,

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

QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY

There are 10 × 10 = 100 squares Half of

100 is 50 Maree has already shaded 15 so she needs to shade 35 squares more (50 – 15 = 35)

Number and Arithmetic Easy

$5 (lunch money) - $2.50 (sandwich) = $2.50 remaining

$1.50 (juice) + $0.65 (apple) = $2.15, so there

is $0.35 change All other options require more than the initial

$5 lunch money

Number and Arithmetic Easy

From 11:50 am to 1:50 pm is one and a half hours From 11:50 am to 12:50 pm there is one hour, then from 12:50 pm to 1 pm there are

10 minutes and from 1 pm to 1:20 pm there are

20 minutes Altogether it is 1 hour and

30 minutes (1 hour + 10 minutes + 20 minutes)

Measurement Easy

The triangles contain a number which is the sum of the numbers in the two preceding triangles

2 + 7 = 9 and 7 + 9 = 16 The missing number is 9 + 16 = 25

Algebra and Patterns Medium

5 B If the width of the pen was 90 cm then the length would be 90 cm also

90 × 90 = 8 100 cm2

Measurement Medium

The first pattern is made by adding 3 to the previous number, with 3 as the initial number

The second pattern is made by adding 4 to the previous number, with 5 as the initial number

The third pattern is made by adding 7 to the previous number, with 3 as the initial number

Continue all three patterns until you find a common number The number 45 is the first common number in the three patterns

Algebra and Patterns Medium

Divide the total amount of money raised for the school by the amount received by the school for each chocolate bar sold

$56 = 5 600 cents (56 × 100)

5600 cents ÷ 40 cents = 140 Joel sold 140 chocolate bars

Number and Arithmetic Medium/Hard

Trang 10

8 D

Elle gave away one-third and one-quarter of her jellybeans The fraction she kept is equal to:

1 − (1/3 +1/4) = 5/12

If 35 equals 5/12 of the total, then 1/12 of the total is 7 The total is 12 × 7=84

Algebra and Pattern Hard

Solid (A) has 8 blocks Solids (B) and (C) have

11 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 Also the largest number of blocks in a row is 3 to give another clue to the size of the cube So Solid (A) with 8 blocks cannot be part of the bigger cube

Space and Geometry Hard

10 25

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

Number of dots on each side = total number

of dots ÷ 3 + 1

= 72 ÷ 3 + 1

= 25

Algebra and Pattern Hard

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

Định dạng
Số trang	10
Dung lượng	1,65 MB