year 8 maths

Chapter review
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11 A toddler walked slowly away from his mum, had a short stop, then turned and walked quickly back
to his mum again. In each graph below, the distance is measured from the toddler’s mum. Choose the
correct distance–time graph for this journey.
Graph A
Graph B
Distance
Time
Graph C
Time
Distance
Distance
Distance
Graph D
Time
Time
Short-answer questions
1 In Lao’s pencil case there are six coloured pencils, two black pens, one red pen, five textas, three lead
pencils and a ruler. Find the ratio of:
a lead pencils to coloured pencils
b black pens to red pens
c textas to all pencils
2 True or false?
a 1 : 4 = 3 : 6
b The ratio 2 : 3 is the same as 3 : 2 .
c The ratio 3 : 5 is written in simplest form.
d 40 cm : 1 m is written as 40 : 1 in simplest form.
e 1 1 4 : 2 = 5 : 8
3 Copy and complete.
a 4 : 50 = 2 : □ b 1.2 : 2 = □ : 20 c
2
3 : 4 = 1 : □ d 1 : □ : 5 = 5 : 15 : 25
4 Simplify the following ratios.
a 10 : 40 b 36 : 24 c 75 : 100 d 8 : 64 e 27 : 9
f 5 : 25 g 6 : 4 h 52 : 26 i 6b : 9b j 8a : 4
k
2
7 : 5
l 1 1 7
10 : 2
m 2 1 10
2 : 3
4
n 12 : 36 : 72
5 Simplify the following ratios by first changing to the same units.
a 2 cm : 8 mm b 5 mm : 1.5 cm c 3 L : 7500 mL d 30 min : 1 h
e 400 kg : 2 t f 6 h : 1 day g 120 m : 1 km h 45 min : 2 1 2 h
Cambridge Maths NSW
Stage 4 Year 8 Second edition
ISBN 978-1-108-46627-1 © Palmer et al. 2018
Cambridge University Press
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