year 8 maths

234 Chapter 4 Fractions, decimals, percentages and financial mathematics
PROBLEM-SOLVING AND REASONING
12, 13, 17 13–15, 17, 18
14–18
12 Which value is larger?
3
A 0.8 of a large pizza B 70% of a large pizza C of a large pizza
4
13 Complete the following conversion tables involving common fractions, decimals and percentages.
a Fraction Decimal %
1
4
2
4
3
4
4
4
b Fraction Decimal %
0.3 .
0.6 .
0.9 .
c Fraction Decimal %
20%
40%
60%
80%
100%
14 Complete the following conversion tables.
a Fraction Decimal %
b Fraction Decimal %
3
8
5
40
0.24
0.7
15%
62%
11
5
5
6
0.003
4.2
6.5%
119%
15 A cake is cut into eight equal pieces. What fraction, what percentage and what decimal does one
slice of the cake represent?
16 The Sharks team has won 13 out of 17 games for the season to date. The team still has three games
to play. What is the smallest and the largest percentage of games the Sharks could win for the
season?
17 a Explain why multiplying by 100% is the same as multiplying by 1 .
b Explain why dividing by 100% is the same as dividing by 1 .
18 Let A, B, C and D represent different digits.
a Convert BC% to a fraction. b Convert CD.B% to a decimal.
c Convert A.BC to a percentage. d Convert D.DBCC to a percentage.
e
A
Convert
D to a percentage. f Convert B C to a percentage.
A
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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