1. Worksheet 1: Percentages - Answers
2 13 47
D 1 a 0.35 39% b 0.6 64% c 0.9 93%
5 20 50
D2a
To find 30% 18% 12.5% 5% 150% 3%
Multiply by 0.3 0.18 0.125 0.05 1.5 0.03
b i 102 ii 108 iii £67.50 iv £1 v £68.25
vi £4.86
D 3 438 adults
D4 a
To increase by 15% 45% 2.8% 6.75% 137.5%
Multiply by 1.15 1.45 1.028 1.0675 2.375
To decrease by 15% 45% 2.8% 6.75% 1.375%
Multiply by 0.85 0.55 0.972 0.9325 0.98625
b i £69 ii £232 iii £5.14 iv 61.915 kg v 115.1875 m
vi £51 vii £88 viii £4.86 ix 54.085 kg x 47.833125 m
C 5 Yes, Bill is correct.
40% of 60 = 0.4 × 60 = 24
60% of 40 = 0.6 × 40 = 24
C 6 a i £1740 ii £15 660
b She has doubled the loss of the first year. However, the loss for the second year
would be 10% of £15 660 = £1566
c £14 094
B 7 0.21 × 0.2 × 9000 = 378
B 8 0.65 × 0.7 × 30 000 = 13 650
B 9 a 0.73 × 0.25 = 0.1825 = 18.25% b 0.73 × 0.75 = 0 5475 = 54.75%
B 10 a 0.85 × 0.6 = 0.51 = 51% b 0.85 × 0.4 = 0.34 = 34%
6
B 11 £500 × (1.03) = £597.03 so the interest is £97.03 to the nearest penny.
B 12 £23 000 × 1.04755 = £29 006.68 so the interest is £6006.70 to the nearest 10p.
B 13 £200 × 1.043 = £224.97 so the interest paid is £24.97.
£300 × 1.042 = £324.48 so the interest paid is £24.48.
So the investment of £200 for 3 years at 4% earns more interest.