Robinson Tuition
Year 9 · Key Stage 3 · free KS3 maths worksheet

Calculating with fractions

12 original questions, 36 marks. Type your answers below for an instant mark and a score (algebra in any equivalent form, e.g. 2sqrt(3) or 2√3), or print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

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The questions

1

Write these fractions in order of size, starting with the smallest.

23   34   712   56

2 marks
Show answer
712, 23, 34, 56
2
  1. One of these fractions is not equivalent to 35

    610    915    1225    1525

    Write down this fraction.

  2. Work out 25 + 13
3 marks
Show answer
a) 12/25 b) 11/15
3
  1. Write 175 as a mixed number.
  2. Write 438 as an improper fraction.
  3. Write these numbers in order of size, starting with the smallest.
    213     114     256     52
3 marks
Show answer
a) 3 2/5 b) 35/8 c) 2 1/3, 5/2, 11/4, 2 5/6
4

Work out 49 × 310

Give your answer as a fraction in its simplest form.

2 marks
Show answer
215
5
  1. Work out 35 of 2 km. Give your answer in metres.
  2. Work out 512 of an hour. Give your answer in minutes.
  3. Sana has a 2 kg bag of flour. She uses 38 of the flour to bake bread. How many grams of flour are left in the bag?
3 marks
Show answer
a) 1200 m b) 25 minutes c) 1250 g
6

Work out 425 − 134

Give your answer as a mixed number in its simplest form.

3 marks
Show answer
21320
7

Work out each of these. Give each answer in its simplest form.

  1. 12 × 34
  2. 56 × 910
  3. 135 × 313
3 marks
Show answer
a) 9 b) 3/4 c) 5 1/3
8
  1. Work out 5 ÷ 13
  2. Work out 6 ÷ 34
  3. A jug holds 4 litres of squash. Each cup holds 25 of a litre. How many cups can be filled from the jug?
3 marks
Show answer
a) 15 b) 8 c) 10
9

Work out each of these. Give each answer in its simplest form.

  1. 45 ÷ 2
  2. 37 ÷ 6
  3. 58 ÷ 1516
3 marks
Show answer
a) 2/5 b) 1/14 c) 2/3
10

Work out 313 ÷ 212

Give your answer as a mixed number in its simplest form.

3 marks
Show answer
113
11

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
12

Kofi gets his pocket money.

He spends 14 of it on a computer game.
He spends 25 of it on snacks.
He has £7 left.

How much pocket money did Kofi get?

4 marks
Show answer
£20

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Every question here is original and written by Robinson Tuition. It follows the Key Stage 3 programme of study; Year 9 sheets end with extension questions for top sets.

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