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Grade 2 · Foundation · free GCSE maths worksheet

Fractions of amounts

Finding a unit fraction or simple fraction of a quantity.

20 original questions, 54 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

Work out 15 of 45

1 mark
Show answer
9
2

Work out 18 of 56

1 mark
Show answer
7
3

Amir has £40. He spends 35 of his money on a book.

Work out how much he spends. You may draw a bar model.

2 marks
Show answer
£24
4

Work out 16 of 138

1 mark
Show answer
23
5

There are 30 students in a class. 12 of them walk to school.

What fraction of the class walk to school? Give your answer in its simplest form.

2 marks
Show answer
25
6

The fuel tank of a car holds 60 litres. The fuel gauge shows the tank is 34 full.

  1. Work out how many litres of fuel are in the tank.
  2. Work out how many more litres are needed to fill the tank.
3 marks
Show answer
a) 45 litres b) 15 litres
7

Tom says, "To find 34 of 20, I divide 20 by 3 and then multiply by 4."

  1. Explain why Tom is wrong.
  2. Work out 34 of 20.
2 marks
Show answer
a) divide by the bottom number 4, not the top number 3 b) 15
8

A bag contains 60 sweets. 25 of the sweets are red and 25% of the sweets are green. The rest are yellow.

Work out how many sweets are yellow.

3 marks
Show answer
21
9

Work out 34 of 92

1 mark
Show answer
69
10

Maya has 2 hours to do her homework. She spends 13 of the time on maths and 20% of the time on science.

  1. Work out how many minutes she spends on maths.
  2. Work out how many minutes she spends on science.
  3. Work out how many minutes she has left for other homework.
4 marks
Show answer
a) 40 minutes b) 24 minutes c) 56 minutes
11

Work out each of these amounts.

23 of 60     34 of 48     45 of 40

Write the three amounts in order of size, starting with the smallest.

3 marks
Show answer
32, 36, 40
12

A school sells 240 raffle tickets. 38 of the tickets are sold at £2 each. The rest are sold at £1.50 each.

Work out the total money from selling all 240 tickets.

4 marks
Show answer
£405
13

14 of the people at a concert are children.

There are 65 children at the concert.

Work out the total number of people at the concert.

2 marks
Show answer
260
14

Maya has £64.

She spends 38 of her money.

Work out how much money Maya has left.

3 marks
Show answer
£40
15

A crate holds 36 boxes.

59 of the boxes each weigh 2 kg.

The rest of the boxes each weigh 3 kg.

Work out the total weight of the 36 boxes.

3 marks
Show answer
88 kg
16

Leo has 84 stickers.

He gives 27 of the stickers to Ria.

He then gives half of the stickers he has left to Sam.

Work out how many stickers Leo gives to Sam.

3 marks
Show answer
30
17

A water butt holds 240 litres of water. It is full on Sunday night.

Nia uses 13 of the water on Monday.

She uses 14 of the original 240 litres on Tuesday.

Nia needs 100 litres of water on Wednesday.

Does she have enough water left? You must show your working.

3 marks
Show answer
Yes - 80 + 60 = 140 litres used, 240 - 140 = 100 litres left, which is exactly enough
18

Amir and Beth share a prize of £360.

Amir gets 25 of the prize. Beth gets the rest.

Beth gives 14 of her share to charity.

Work out how much money Beth keeps.

4 marks
Show answer
£162
19

A school orders 120 calculators.

38 of the calculators are scientific calculators costing £8.50 each.

The rest are basic calculators costing £4 each.

Work out the total cost of the order.

4 marks
Show answer
£682.50
20

Priya, Quinn and Raj share £480.

Priya gets 13 of the money.

Quinn gets 38 of the money.

Raj gets the rest.

Work out how much more money Quinn gets than Raj.

5 marks
Show answer
£40

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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