Percentages worksheet

1. Percentages
1 Write these in order of size, smallest first.
a
2
5 0.35 39% b 64% 0.6
13
20 c 0.9 93%
47
50
2 a Copy and complete this table of decimal multipliers.
To find 30% 18% 12.5% 5% 150% 3%
Multiply by

b Use the decimal multipliers from your table to work out:
i 30% of 340 ii 18% of 600 iii 12.5% of £540
iv 5% of £20 v 150% of £45.50 vi 3% of £162
3 600 people went to the cinema one evening.
Of the 600 people, 73% were adults.
How many adults were there?
4 a Copy and complete these tables.
To increase by 15% 45% 2.8% 6.75% 137.5%
Multiply by

To decrease by 15% 45% 2.8% 6.75% 1.375%
Multiply by

b Use the decimal multipliers from your tables to work out:
i £60 increased by 15% ii £160 increased by 45%
iii £5 increased by 2.8% iv 58 kg increased by 6.75%
v 48.5 m increased by 137.5% vi £60 decreased by 15%
vii £160 decreased by 45% viii £5 decreased by 2.8%
ix 58 kg decreased by 6.75% x 48.5 m decreased by 1.375%
5 Bill says ‘40% of 60 is the same as 60% of 40.’
Is he correct? Explain your answer.
6 A new car costs £17 400. It loses 10% of its value each year.
a i How much does it lose after 1 year?
ii What is the value of the car after 1 year?
b Jemilla says that after 2 years the car will have lost £3480 and be worth £13 820
because £1740 × 2 = £3480.
What mistake has she made?
c Work out the correct value of the car after 2 years.
7 9000 people were spectators at a sports meeting.
21% of them were male and 20% of them were under 18 years old.
How many under-18 males were at the meeting?

2. 8 A questionnaire about a new shopping mall is sent to 30 000 homes.
65% are returned and 70% of these are in favour of the new shopping mall.
How many returned questionnaires are in favour of the new shopping mall?
9 73% of people interviewed eat breakfast and 25% of these people eat porridge.
What percentage of the people interviewed:
a have porridge for breakfast
b eat breakfast but do not eat porridge?
10 In a school, 85% of the staff are female and of these 60% work full time.
What percentage of the staff are:
a females who work full time
b females who work part time?
11 Find the compound interest on £500 invested for 6 years at 3%.
12 Work out the compound interest on £23 000 invested for 5 years at 4
3
4 %.
Give your answer to the nearest 10p.
13 Which investment earns more interest:
£200 for 3 years at 4% compound interest or £300 for 2 years at 4% compound
interest?