year 8 maths

288 Chapter 5 Ratios and rates
Exercise 5C
UNDERSTANDING AND FLUENCY
1–4, 5(½), 6, 8 3, 4, 5(½), 7, 8(½) 5(½), 7, 8(½)
1 Find the total number of parts in the following ratios.
a 3 : 7 b 1 : 5 c 11 : 3 d 2 : 3 : 4
2 The ratio of girls to boys in a class is 3 : 5 .
a What fraction of the class is girls?
b What fraction of the class is boys?
3 The diagram shows four glasses that contain different amounts of cordial. Water is then added to
fill each glass. For each drink shown, what is the ratio of cordial to water?
a b c d
4 What fraction of each of the drinks above is cordial?
Example 6
5 Divide:
a $60 in the ratio 2 : 3
b $110 in the ratio 7 : 4
c $1000 in the ratio 3 : 17
d 48 kg in the ratio 1 : 5
e 14 kg in the ratio 4 : 3
f 360 kg in the ratio 5 : 7
g 72 m in the ratio 1 : 2
h 40 m in the ratio 3 : 5
i 155 m in the ratio 4 : 1
6 Share $400 in the ratio:
a 1 : 3 b 2 : 3 c 3 : 5 d 9 : 11
7 Share $6600 in the ratio:
a 4 : 7 b 2 : 3 c 24 : 76 d 17 : 13
Example 7
8 Divide:
a $200 in the ratio 1 : 2 : 2
b $400 in the ratio 1 : 3 : 4
c 12 kg in the ratio 1 : 2 : 3
d 88 kg in the ratio 2 : 1 : 5
e 320 kg in the ratio 12 : 13 : 15
f $50 000 in the ratio 1 : 2 : 3 : 4
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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