Robinson Tuition
Grade 3 · Foundation · free GCSE maths worksheet

Writing one amount as a percentage of another

Fraction then percentage, such as 18 out of 40.

18 original questions, 47 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Write 7 as a fraction of 20.

1 mark
Show answer
720
2

In a class of 30 pupils, 12 walk to school.

Write 12 as a percentage of 30.

2 marks
Show answer
40%
3

Last year a rail season ticket cost £640.

This year the same season ticket costs £688.

Work out the percentage increase in the cost of the season ticket.

3 marks
Show answer
7.5%
4

Imani scored 18 out of 40 in a science test.

Work out her score as a percentage.

2 marks
Show answer
45%
5

Kane buys a bike for £250.

A year later he sells the bike for £210.

Work out his percentage loss.

3 marks
Show answer
16%
6

Ayesha buys a second-hand guitar for £80. She sells it for £92.

Work out her percentage profit.

2 marks
Show answer
15%
7

A trader buys a table for £68.

She sells the table for £85.

Work out her percentage profit.

3 marks
Show answer
25%
8

In 2019 Femi bought a flat for £180 000.

In 2026 he sold the flat for £207 000.

Work out his percentage profit.

3 marks
Show answer
15%
9

A shop buys phone cases for £3.20 each.

The shop sells each phone case for £4.40.

Show that the shop's percentage profit on each phone case is 37.5%.

3 marks
Show answer
Profit = £1.20; 1.203.20 = 0.375 = 37.5%
10

Lucy buys plants for £90 and compost for £30. She sells all the plants for a total of £150.

Work out her percentage profit.

3 marks
Show answer
25%
11

In a quiz, team A scored 36 out of 45 and team B scored 41 out of 50.

Which team scored the higher percentage? You must show your working.

3 marks
Show answer
Team B (82% compared with 80%)
12

There are 32 students in a class.

20 of the students walk to school.

Write the fraction of the students who walk to school. Give your fraction in its simplest form.

2 marks
Show answer
58
13

Write 320 as a percentage.

1 mark
Show answer
15%
14

Write 45 minutes as a percentage of 3 hours.

3 marks
Show answer
25%
15

Dev has 30 pens.

He gives away 12 of the pens.

Write the fraction of the pens that Dev has left. Give your fraction in its simplest form.

2 marks
Show answer
35
16

Callum buys a house for £150 000. He spends £20 000 on repairs. He then sells the house for £204 000.

Work out his percentage profit.

4 marks
Show answer
20%
17

The membership of running club A increased from 1500 to 1725.

The membership of running club B increased from 2400 to 2700.

Cam says, "Club B had the greater percentage increase because its membership went up by more people."

Show that Cam is wrong.

4 marks
Show answer
Club A: 2251500 = 15%; club B: 3002400 = 12.5%; 15% > 12.5% so club A had the greater percentage increase
18

Freya has 45 marbles.

She gives 9 marbles to her brother.

She then loses 6 marbles.

Work out the fraction of her marbles that Freya has left. Give your fraction in its simplest form.

3 marks
Show answer
23

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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