De thi toan o Uc 3

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C 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.

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ICAS Mathematics Practice Questions Paper C © EAA 2

1 Here is a group of shapes.

How many circles are in this group?

(A) 2

(B) 3

(C) 4

(D) 5

2 Which glass contains the most water?

3 Here is a number pattern

255, 365, 475, 585, , … ?

Which number is next in this pattern?

(A) 695

(B) 685

(C) 605

(D) 595

4 Here is a group of faces.

KEY

happy sad

What fraction of the group has smiling faces?

(A) 13 13 (B) 13 20 (C) 7 13 (D) 7 25

5 Here are two identical equilateral triangles.

Which one of the following shapes can

be made by joining the two triangles along one side without overlapping?

(A) rectangle (B) rhombus (C) triangle (D) square

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6 These numbers are multiples of eight.

8, 16, 24, 32, , 136,

Which of the following numbers is also a

multiple of eight?

(A) 170

(B) 164

(C) 152

(D) 148

7 This is a bead counter.

Which number is shown on the bead

counter?

(A) 1.23 (B) 3.21 (C) 123 (D) 321

8 Megan put a jug under a leaking tap She measured the volume of water in the jug every 5 minutes

This graph shows her results.

0 200 400 600 800 1000

Time (minutes)

Between which time periods did the tap leak fastest?

(A) 5 to 10 minutes (B) 10 to 15 minutes (C) 15 to 20 minutes (D) 20 to 25 minutes

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ICAS Mathematics Practice Questions Paper C © EAA 4

9 This padlock can be opened if the

instructions written on each button are followed in the correct order All buttons must be pressed.

R 1R

R

1R

S

V 1L

1L

W 1U

END

Y

END

U 1D

X 2R

Left

Right

On the buttons, the letters U, D, L, R stand for Up, Down, Left and Right.

For example,

R 1R

S

V 1L

1L

W 1U

END

Y

END

U 1D

X 2R

Left

Right

means press button R and then move 1 button to the right.

If you end on button Y, at which button should you start to open the lock?

(A) R (B) T (C) V (D) W

10 Peter had some triangular tiles with sides 3 cm long.

He placed them side by side to make

a trapezium

If the perimeter of the trapezium was

27 cm, how many tiles did Peter use? (A) 3

(B) 5 (C) 7 (D) 9

END OF PAPER

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This page may be used for working.

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PAPER

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The following year levels should sit THIS Paper:

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Educational Assessment Australia

eaa.unsw.edu.au

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

U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U

HOW TO FILL OUT THIS SHEET:

• Rub out all mistakes completely.

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in the boxes provided.

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EXAMPLE 1: Debbie Bach

FIRST NAME LAST NAME

A B C D

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International Competitions

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PRA

CTICE Q

UES

TIONS

PaPer

C

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International Competitions

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M

PaPer

C

TO ANSWER THE QUESTIONS

Example: 4 + 6 =

(A) 2

(B) 9

(C) 10

(D) 24

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

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QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY

1 A There are two circles in the set Space and Geometry Easy

This question tests estimation By visual approximation based on the width of each glass and the height of the level of water in each glass, D contains the most water

Measurement Easy

3 A The pattern is created by adding 110 to the previous number 585 + 110 = 695 Algebra and Pattern Easy

4 B There are 13 smiling faces out of the total of 20 Number and Arithmetic Easy

The new shape is a rhombus It has equal sides and not all its angles are equal

Space and Geometry Medium

6 C 8 × 19 = 152 Number and Arithmetic Medium

7 B This number has 3 ones, 2 tenths and 1 hundredth Therefore, the number is 3.21. Number and Arithmetic Medium/Hard

From 5 to 10 minutes, the volume of water changed from approximately 120 mL to

320 mL (the difference is 200 mL in

5 minutes) However, between 10 minutes and

15 minutes the change was from 320 mL to

600 mL (280 mL change in the same period of time, 5 minutes) From 15 minutes to

20 minutes, the change was 200 mL (600 mL

to 800 mL) and from 20 minutes to 25 minutes the change was the least Therefore, since we are measuring over the same period of time (5 minutes), the fastest rate of leaking was from

10 to 15 minutes

Chance and Data Medium/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

9 D All the keys are pressed if you start from W and follow the instructions on the buttons. Space and Geometry Hard

10 C

The two sides of the trapezium would be

3 cm + 3 cm = 6 cm The rest of the trapezium, which is 21 cm, would have to

be formed by the two bases (the top and the bottom base of the shape) Knowing that each tile has a side of 3 cm, we need to divide 21 by

3 to get the total number of tiles needed Measurement Hard

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