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MATHEMATICS
PRACTICE TEST
PRACTICE QUESTIONS
Here are some practice examples to show you what the questions on the real test are like.
Practice Example 1
A : 5 B : 6 C : 7 D : 8 E : None of these
Practice Example 2
Which is the largest number?
A : 403 B : 4600 C : 406 D : 4060 E : None of these
Practice Example 3
What value does the circled number in the number above represent?
A : 4879 B : 700 C : 70 D : 7 E : None of these
You will have 30 minutes to do as many questions as you can.
NO CALCULATORS PERMITTED FOR THIS TEST.
PLEASE DO NOT TURN THIS PAGE UNTIL YOU ARE ASKED TO DO SO.
A : 2 B : – 12 C : – 4 D : 16 E : None of these
Question 2
− 96 ÷− 6 ÷ 8 =
A : 2 B : 12 C : – 12 D : – 2 E : None of these
Question 3
Jo bought a used car for $6000 and paid 15% deposit. How much did he still have to pay?
A : $900 B : $5000 C : $4500 D : $5100 E : None of these
Question 4
5 × − 2 −( 8 − 12 )+ 16 ÷− 8 =
A : 6 B : – 8 C : – 16 D : – 6 E : None of these
Question 5
What is 8% of $600?
A : $580 B : $480 C : $48 D : $58 E : None of these
Question 6
Which is the longest distance?
A : 3500cm B : 65.5m C : 75000mm D : 15.5m E : 0.1km
If 2
1
/ 3
1
/ 3
then 7: =
A : 12 B : 13 C : 8
2
/ 3 D : 6
1
/ 3 E : None of these
Question 11
Concrete is made by mixing screenings cement and sand in the ratio 3:1:15. How much sand would be needed
to make 125 tonnes of concrete?
A : 27 tonnes B : 33.75 tonnes C : 45 tonnes D : 75 tonnes E : None of these
Question 12
a ° =
A : 53 B : 40 C : 93 D : 146 E : None of these
Question 13
x ° =
A : 124 B : 304 C : 54 D : 66 E : None of these
x °
56°
a°
87 °
127°
Use the following graph to answer questions 14 and 15
0
1
2
3
4
5
6
7
8
9
10
3 4 5 6 7 8 9 10 11 12
Question 14
How many students studied for more than 8 hours in the week?
A : 22 B : 29 C : 42 D : 50 E : None of these
Question 15
How many students studied for 6 hours or less per week?
A : 9 B : 18 C : 15 D : 12 E : None of these
Question 16
Two six sided dice are thrown together. What is the probability that a total of 10 is thrown?
A :
1
/ 6 B :
1
/ 12 C :
1
/ 2 D :
5
/ 6 E : None of these
Question 17
The gradient of the line is
A :
B :
C :
D :
− E : None of these
Hours of Study
Frequency
The graph shows the number of hours a year 8 group
spent doing homework for one week.
Which option would make this solid?
A: B:
C: D:
E: None of the nets would make the solid
Question 22
The diagram shows a small rectangular field. If Linda runs from A to B to D to C to A, how far does she run?
A : 120m B : 160m C : 140m D : 150m E : None of these
40m
C B
D A
30m
5cm
4cm
3cm
x
Simplify the surd 3 56 completely
A : 12 14 B : 5 14 C : 6 14 D : 6 28 E : None of these
Question 24
The length of x equals
A : 6cm
B : 6 cm
C : 5 2 cm
D : 2 5 cm
E : None of these
Question 25
The rectangle box has dimensions as shown. What is the length AG?
A : 2 26
B : 4 6
C : 2 3
D : 16
E : None of these
Question 26
Sam bought a car valued at $7700. One year later the car’s value had decreased by
2
/7. What is the new value of
the car?
A : $2200 B : $5500 C : $9900 D : $4400 E : None of these
D
E
B
F
C
G
H
A
6cm
2cm
8cm
Which equation could only be the equation of the graph?
A : y = 3 x + 2
B : y = − 3 x − 2
C : y = 3 x − 2
D : y =− 3 + 2
E : y = − x − 2
Question 33
Which set of coordinates lie outside the shaded area?
A : ( 0 , 0 )
B : ( − 1 , − 6 )
C : ( 1 , − 50 )
D : ( 1 , 1 )
E : ( 4 , 1 )
Question 34
The equation of this graph is:
A : 4
x
y
B : 4
x
y
C : y = 5 x + 4
D : 4
x
y
E : 4
x
y
y
x
x
y
The coordinates of the point of intersection for the two graphs could only be:
A : ( − 1 , 2 )
B : ( − 1 , − 2 )
C : ( 1 , 2 )
D : ( 1 , − 2 )
E : ( 2 , − 1 )
Question 36
( )
3
− − 3 =
A : - 9 B : 27 C : 9 D : -27 E : None of these
Question 37
× =
x
y
y
x
2 3
A : x y
2
4 B :
x
2 y
C :
xy
xy
5
2
D :
2
4 xy E : None of these
Question 38
( 3 ° y ) × 2 ( xy )°
2
A : 18y
2
B : 36xy
3
C : 2y
2
D : 6xy
2
E : None of these
Question 39
−
−
1 3
2 2
y x
x y
A :
5
3
2 x
y
B :
x
y
C :
x
y
D :
5
x
y
E
x
y
3
2
Question 40
Which is not the same as
3 / 5
32?
A : ( )
3 1 / 5
32 B : ( )
1 / 5 3
32 C : ( )
3 5
32 D : ( )
5 1 / 3
32 E :
5 3
32
Expand the brackets and simplify
( )
2
A : 4 5 + 2 2 B : 12 − 4 10 C : 8 − 4 10 D : 2 10 − 2 E : None of these
Question 47
Rationalise and simplify
A : 2 B : 3 6 C : 6 D :
E : None of these
Question 48
If
2
x =
3
y = and
4
z = evaluate
x ÷ y + z
A :
1 B :
C :
1 D :
E : None of these
Question 49
Expand and simplify
( 3 a − 5 b )( 3 a + 5 b )
A : 9 a − 25 b B : 9 a + 25 b C :
2 2
9 a + 25 b D :
2 2
9 a − 25 b E : None of these
Question 50
Factorise and simplify
2
a + a −
A : ( a + 3 ) ( a − 2 ) B : 3 ( a − 3 )( a + 2 ) C : 3 ( a − 3 )( a − 2 ) D : 3 ( a + 3 )( a − 2 ) E : None of these
Question 51
Simplify
2
÷
− x
x
x
A :
x + 3
B :
C :
2 ( 3 )
x
x
D :
E : None of these
The correct ratio to find x is:
A : 6 Cos 72° B : 6 Tan 72° C : 15 Sin 18° D : 15 Sin 72° E : 15 Cos 18°
Question 53
The turning point of the graph could only be:
A : ( − 3 , 3 ) B : ( 4 , − 2 ) C : ( 3 , 4 ) D : ( − 2 , 3 ) E : ( − 3 , − 2 )
Question 54
A number x is subtracted from two times its square and the result is 45. An equation to find the value of x
would be:
A : 2 45
2
x − x = B : 2 45
2
x − x = C : 2 45
2
x − x = D : 2 2 45
2
x − x = E : 2 45
2
x − x =
Question 55
Find the points of intersection of the graphs of y = x
2
and y = 3x – 2.
A : ( 1 , 1 )( 1 , 4 ) B : ( 2 , 4 )( 1 , 1 ) C : ( 1 , − 1 )( 2 , 4 ) D : ( − 2 , 4 )( 1 , 1 ) E : None of these
6
15
x
72°
A : 4 B : 5 C : 6 D : 3 E : None of these
Question 60
Factorise ab + b − ac − bc
2
A : ( b − c )( a − c ) B : ( b + a )( b + c ) C : ( b − c )( a + b ) D : ( b + c )( a − b ) E : ( b − c )( a + c )
WELL DONE. THIS IS THE END OF THE TEST.
IF YOU STILL HAVE TIME LEFT, PLEASE CHECK OVER YOUR
ANSWERS.
x + 1
x + 3
x + 5
x =
