Numeracy Practice Test 3

Time available: 40 minutes Name: __________________________________

CALCULATOR ALLOWED Q6 This is a picture of a cricket bat from the U15's kit.

Q1 If w = 7, what is the value of 3w ?

10 21 37 73 Which of these is the best estimate for the

length of a real cricket bat?
20 cm 90 cm 180 cm 3m
Q2 What is the value of 13 – (- 6) + (- 4) ?
Q7 Every day Meki rides 10 kilometres to work.
On Thursday his average speed was 15 km/h.
Q3 Bede buys a 750 g packet On Friday his average speed was 20 km/h.
of cereal and places the
packet on a set of scales. How many more minutes did it take Meki to
VITA
STA ride to work on Thursday than Friday?
RT
Which of these scales 5 10 15 30
would show this weight? 750
g
Q8 Nathan plants a tree. He measures the tree and
finds it is 115 cm tall. After 3 months the tree
1 400 600 is 10% taller than when it was planted.
0.5 1.5
kg 200 g 800
How tall is the tree after 3 months?
0 2 0 1000
115 cm 126.5 cm
125 cm 132.5 cm
2 3 500
1 kg 4 g Q9 Which of these has exactly 2 axes of symmetry?
0 5 0 1000

Q4 Ava walks along the

path from A to B.

How far does she

walk in kilometres?
B
1.4 14 A Q10 In a bag there are 15 rugby league balls and
2.8 28 12 soccer balls.
0 400 About what percentage of the balls are soccer
metres balls?
12% 44% 56% 80%
Q5 Dorothy is baking 5 cakes for a party.
Each cake needs 4 eggs and Dorothy has none. Q11 Jason leaves Melbourne at 9:45 am.
The shop sells eggs in cartons of 6. He arrives in Sydney at 6:40 pm on the same day.

How many cartons will Dorothy need to buy? How long did the trip take?
2 3 4 5
hours minutes
Q12 At Joe's Landscapes, 2 tonnes of soil costs $65 Q16 Ron drives his car a distance of 100 kilometres
and 4 tonnes of the same soil costs $130. at a constant speed of 80 km/h.

Which graph could show the relationship How long does he drive for?
between the amount of soil and the cost? 48 min 1 h 8 min 1 h 15 min 1 h 30 min
150 150
Cost (dollars)

Cost (dollars)
Q17 The equation 4y + 3 = x is re-arranged to
100 100
have y as the subject.
50 50 Which of these correctly gives y as the subject?
x+3 x–3
0 0
y= y=
1 2 3 4 5 1 2 3 4 5 4 4
Soil (tonnes) Soil (tonnes)
y = 4x + 3 y = 4x – 3
150
Cost (dollars)

Q18 A group of Year 9 students Mode of No. of

100
was surveyed to find how travel students
they travelled to school. Walk 62
50
Bus 80
0 1 2 3 4 5
What is the probability that Car 21
Soil (tonnes) a student randomly picked
Ride 28
from this group travelled
to school by bus? Other 9
Q13 A swimming pool holds 52 500 litres when full.
What is the capacity in kilolitres? 0.3 0.4 0.5 0.8

0.525 5.25 52.5 525

Q19 Darcy is making a border of tiles along a wall.
Q14 A circle has a circumference of 60 cm. The tiles come in 4 designs and he makes a
pattern, repeating the 4 designs in the same
The circle's radius is closest to order as shown.
9.5 cm 7.3 cm 19.1 cm 4.4 cm
20 cm
....... ?
Q15 In the diagram ACF is a straight line.
tile 1 tile 2 tile 3 tile 4 tile 5 tile 6 last tile
B
Each tile is 20 cm wide and the border length is 3.4 m.

37° Which of these is the last in his line of tiles?

E
D

84°
A F
C Q20 Which value of x satisfies both of the equations
What is the size of angle ECF ? y = x 2 and y = 4x – 4 ?

53° 43° 96° 65° x = –2 x=1 x=2 x=3

Q21 AB and CD are parallel. XY intersects AB Q26 The surface area of a cube is 294 cm2.
and CD at E and F as shown in the diagram.
What is its volume ?
B cm3
X
D Q27 The rule used to find
E y
y in terms of x is:
A F y = 2x + 2 4
Y
C y = 3x + 2
2
Which pair of angles are equal? x
y= 3+2
XEA and AEY XEB and DFY
x O x
y= 2+3 2 4 6
CFY and BEY AEY and DFX
Q28 Peter counted the money raised at the school fair.
Q22 Which box has a volume of 0.08 cubic metres?
20% of the money was raised by the raffle
and 25% by the sausage sizzle.
0.4 m
If the sausage sizzle raised $600 more than the
0.5 m 0.5 m raffle, how much money was raised altogether?
0.4 m
0.7 m
0.2 m

0.6 m 0.1 m Q29 There are 28 students in a class.

0.4 m The ratio of boys to girls is 4 : 3.
0.3 m 0.8 m
0.2 m If 3 girls leave the class, what will be the
new ratio of boys to girls?
Q23 Mandy spent 60% of her money on a $150 jersey. :
How much money did
she have left? Q30 Find the value of x if
x
2x – 10 = + 5.
2
Q24 The number of bacteria present in a petri dish is
measured at 1 635 000. Q31 When this net is folded to make a cube, it has
After 3 hours the number of bacteria has doubled. a volume of 729 cubic millimetres.

The number of bacteria in the dish after 3 hours

is closest to Find the net's width.
width
5 7
8.175 × 10 3.27 × 10
mm
6 6
3.27 × 10 6.54 × 10
Q32 This object was made by
Q25 The cost to hire a taxi is found using the rule removing a 30° slice from 30°
C = 3 + 1.5d where C is the cost to hire the a solid cylinder with a
taxi (in $) and d is the distance travelled in km. radius of 5 cm. 12 cm
Hazel's taxi fare was $66.
What is the volume of the
What distance did Hazel travel in the taxi? object to the nearest cm3?

km