CLASS 9
International
Benchmark
Tests in English,
Mathematics
& Science
Mathematics
Practice Test
ABOUT THIS PRACTICE TEST
This Practice Test has 19 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
4
Abha has some beads in a bag.
She has 3 red beads, 4 blue beads,
7 green beads and 3 yellow beads.
She takes one bead from the bag
without looking.
5, 11, 23, 47, 95, ….
Which two colours does Abha have
an equal chance of taking?
2
A
red and blue
B
yellow and green
C
green and blue
D
yellow and red
Which number comes next in this
number pattern?
A
96
B
101
C
143
D
191
5
How many lines of symmetry does
this shape have?
Bharat is thinking of a number
between 1 and 30.
He says, “Some of the factors of
my number are 3, 4, 6 and 8.”
What number is Bharat thinking of?
A
12
B
16
C
18
D
24
A
1
B
2
C
4
D
8
6
3
Suneeta shares 2.4 kg of rice
between 16 people.
Mass on another planet is measured
in loonas.
Rashid knows that 1 kg on Earth is
the same as 2.5 loonas on the planet.
Rashid’s mass is 50 kg on Earth.
A
0.24 kg
B
15 kg
What is Rashid’s mass in loonas?
C
0.16 kg
D
0.15 kg
A
20
B
25
C
105
D
125
Copyright © 2012 Australian Council for Educational Research
How much do they each receive?
2
Class 9 Mathematics Practice Test
7
8
The number of hours spent watching
TV (last week) by 50 students is
shown in this histogram.
The temperature at 6:00 pm one
evening is shown on the
thermometer below.
Number of Students
Students’ TV habits
18
16
14
12
10
8
6
4
2
0
1-5
6-10
11-15
16-20
The temperature then goes down
10 degrees overnight.
21-25
Number of Hours Spent Watching TV
What temperature did it go down to?
Which of these statements must
be true?
A
Exactly 17 students watched
more than 15 hours TV last week.
B
7 students watched only one hour
of TV last week.
C
The median number of hours of
TV watched last week is 12.
D
16 students watched less than
11 hours of TV last week.
9
A
–4 C
B
–6 C
C
– 10 C
D
– 14 C
Ramji set this microwave oven for
3 12 minutes and then pressed
‘START’.
After 90 seconds, how many
seconds are left?
Class 9 Mathematics Practice Test
3
A
240 seconds
B
180 seconds
C
150 seconds
D
120 seconds
Copyright © 2012 Australian Council for Educational Research
10 Abid drives a car for 1 hour at
60 km/h.
Bassim rides a cycle for 2 hours at
30 km/h.
12 Boat fares in a city are shown below.
What is the ratio of the distance
travelled by Abid to the distance
travelled by Bassim?
A
1:1
B
2:1
C
1:2
D
2:3
Sections
Travelled (s)
1
Fare (f)
$3
2
$ 3.50
3
$4
4
5
$ 4.50 $ 5
Which of these shows the rule for
calculating the fare?
A
f = 300s
B
f = 100s
C
f = 2.5 + 0.5s
D
f = 250 + 0.5s
11 A machine records the speed in
kilometres per hour of 120 vehicles
that pass the machine on a road
during a 10 minute period.
121 - 130
111 - 120
101 - 110
91 - 100
81 - 90
61 - 7
71 - 80
Speed
range
The results are shown on this graph.
10 20 30 40 50 60 70 80 90 100 110 120
Number of vehicles
In what speed range are most
cars travelling?
A
52 – 84 km/h
B
101 – 110 km/h
C
110 - 120 km/h
D
121 – 130 km/h
Copyright © 2012 Australian Council for Educational Research
4
Class 9 Mathematics Practice Test
14 A printing company charges its
customers $1.20 per page plus a
set up fee of $50.
13 Shobha attaches the ends of a
piece of string to drawing pins and
fixes them on her page.
Which graph best shows this?
A
Cost in
Dollars
Number of Pages
Shobha then uses a pencil to hold
the string tight.
B
Cost in
Dollars
Number of Pages
2
C
2
Cost in
Dollars
2
1
2
Number of Pages
2
D
Cost in
Dollars
While keeping the string tight,
Shobha moves the pencil tracing a
path.
Number of Pages
What will the path look like when
it is completed?
A
C
15 Which of the following has no real
solution?
B
D
Class 9 Mathematics Practice Test
5
A
x2 + 4 = 4
B
x2 + 4 < 4
C
x2 + 4 > 4
D
x2 = 4
Copyright © 2012 Australian Council for Educational Research
16 Which three of the following five
shapes can be joined together to
form a triangle?
P
Q
18 Khalid lives in Town A and his cousin
Nahid lives in Town B.
When Khalid visits Nahid he travels:
R
S
T
A
P, Q and T
B
P, Q and R
C
Q, R and S
D
P, R and S
• 100 km from Town A to the city at
an average speed of 100 km/h, then
• 70 km across the city at an average
speed of 35 km/h, then
• 110 km from the city to Town B in
1 hour 10 minutes.
Which of these statements can
Khalid make truthfully?
17 0.32 is
A
B
C
D
A ‘I live just under 250 km from Nahid.’
equal to 8
25
equal to 1
3
equal to 1
32
B ‘I live just over 3 hours from Nahid.’
C ‘I live just over 300 km from Nahid.’
D ‘I live just over 4 hours from Nahid.’
less than 30%
Copyright © 2012 Australian Council for Educational Research
6
Class 9 Mathematics Practice Test
19 Mr. Prasad put 6 Vitamin A tablets,
24 Vitamin B tablets and 30
Vitamin C tablets into a small tin to
take on his holiday.
On the first morning, Mr. Prasad
tipped one Vitamin tablet into his
hand without looking.
The chance of this being a
Vitamin B tablet is
A
2
5
B
1
2
C
1
3
D
2
3
Class 9 Mathematics Practice Test
7
Copyright © 2012 Australian Council for Educational Research
Answer Key
1
D
2
D
3
D
4
D
5
B
6
D
7
D
8
B
9
D
10
A
11
B
12
C
13
B
14
D
15
B
16
D
17
A
18
D
19
A
Copyright © 2012 Australian Council for Educational Research
8
Class 9 Mathematics Practice Test