Maths Level 8 - IBT | ACER - Australian Council for Educational

CLASS 8
International
Benchmark
Tests in English,
Mathematics
& Science
Mathematics
Practice Test
ABOUT THIS PRACTICE TEST
This Practice Test has 17 questions. It has been designed to give you an idea of
the main IBT assessment.
ANSWERING THE QUESTIONS
Each question has four options. Choose the BEST answer from the four options
A, B, C or D.
You will find the key to the answers on the last page of this booklet.
EQUIPMENT ALLOWED IN THIS PRACTICE TEST
You may use a pencil for this Practice Test.
ESTIMATED TIME FOR THIS PRACTICE TEST
You should be able to complete this Practice Test in approximately 30 minutes.
Copyright © 2012 Australian Council for Educational Research
1
5
What fraction of this shape is shaded?
The number of magazines that
Yogesh reads each week is
represented by ‘n’
.
Which of these represents the total
number of magazines that Yogesh
reads in 4 weeks?
A
1
3
B
1
4
C
1
5
D
1
6
2
4+n
B
4xn
C
n÷4
D
(n + n)x4
792 + 207 is closest to the sum of
A
700 + 200
B
800 + 200
C
800 + 300
D
900 + 200
3
4
A
6
Samil made a 3D object from small
cubes. These are three views of the
object.
Front View Top View Side View
1.27 km is the same as
A
127 m
B
12.7 m
C
1270 m
D
0.127 m
Which one is Samil’s object?
A
B
C
D
Which number comes next in this
number pattern?
5, 11, 23, 47, 95, ….
A
96
B
101
C
143
D
191
Copyright © 2012 Australian Council for Educational Research
2
Class 8 Mathematics Practice Test
7
9
Four girls measured the length of
their paces.
This table shows their measurements.
Name
Length of Pace
s
Pinky
85 cm
r
Meena
60 cm
Shenaz
70 cm
Susan
55 cm
Who would take the most paces
when walking the length of a hallway?
8
Which angle is closest to 60°?
A
Pinky
B
Meena
C
Shenaz
D
Susan
A
angle p
B
angle q
C
angle r
D
angle s
p
q
10 20% of 400 is
Javeria left home at 7:10 am.
She walked for 15 minutes to the
station and waited 10 minutes for a
train. She then travelled by train for
45 minutes.
A
20
B
40
C
80
D
120
At what time did Javeria get off the
train?
A
8:25 am
B
8:20 am
C
8:15 am
D
8:10 am
Class 8 Mathematics Practice Test
3
Copyright © 2012 Australian Council for Educational Research
11 The average of 10 lengths is 8.3 cm.
13 There are 28 students in Year 6.
Group S includes everyone who
brings a sandwich to school.
Group A includes everyone who
brings an apple to school.
This information about Year 6 is
shown in the diagram.
What is the total of the 10 lengths?
A
0.83 cm
B
9.15 cm
C
83 cm
D
18.3 cm
Year 6
A
S
12 Sabeena has a box containing
bottles of juice.
The three flavours are orange,
mango and apple.
The ratio of these flavours is 3 : 5 : 4
There are 35 bottles of mango juice.
12
B
28
C
49
D
84
Copyright © 2012 Australian Council for Educational Research
18
6
Which one of these statements is
correct?
How many bottles are there
altogether?
A
4
4
A
One quarter of Year 6 bring an
apple to school.
B
All students in Year 6 bring a
sandwich to school.
C
Every student in Year 6 who brings
a sandwich also brings an apple to
school.
D
Every student in Year 6 who brings
an apple also brings a sandwich to
school.
Class 8 Mathematics Practice Test
16 Last Saturday, Taamir, Ali, Jaafar
and Amal scored a total of 500 runs
at cricket.
14 The shaded region in the diagram
is bounded by the line 3x + 2y = 30,
the x-axis and the y-axis.
y
Which of these statements must be
true?
+
3x
=
2y
30
x
The area of this shaded region is
A
150 units 2
B
30 units 2
C
75 units 2
D
1
2
2 units
A
Each player made over 100 runs.
B
Each player made exactly 125 runs.
C
No player made over 250 runs.
D
At least one player made over
100 runs.
17 In the diagram PQ = PR
QPR = 40°
3
5 of one hour =
15
A
3 x 5 minutes
B
3 x 12 minutes
C
3 x 20 minutes
D
3 x 5 x 60 minutes
Class 7 Mathematics Practice Test
What is the size of
5
A
110°
B
140°
C
40°
D
80°
PRS?
Copyright © 2012 Australian Council for Educational Research
Answer Key
1
B
2
B
3
C
4
D
5
B
6
A
7
D
8
B
9
B
10
C
11
C
12
D
13
C
14
C
15
B
16
D
17
A
Copyright © 2012 Australian Council for Educational Research
6
Class 8 Mathematics Practice Test