Robinson Tuition
Year 7 · Key Stage 3 · free KS3 maths worksheet

Fractions

12 original questions, 34 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

Three of these fractions are equivalent to 34.

68   912   1216   1524

Write down the fraction that is not equivalent to 34.

1 mark
Show answer
1524
2
  1. Find the missing number: 23 = □12
  2. Find the missing number: 59 = 20□
  3. Write 1824 in its simplest form.
3 marks
Show answer
a) 8 b) 36 c) 3/4
3
  1. Write 235 as an improper fraction.
  2. Write 174 as a mixed number.
  3. Write 236 as a mixed number.
3 marks
Show answer
a) 13/5 b) 4 1/4 c) 3 5/6
4

Work out 34 of 92

1 mark
Show answer
69
5

Write <, > or = in each box to make the statement true.

  1. 34  □  58
  2. 25  □  615
  3. 113  □  75
  4. Ava writes 46 ≠ 69. Is Ava correct? Give a reason for your answer.
4 marks
Show answer
a) > b) = c) < d) No, both simplify to 2/3, so they are equal
6

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

23   34   712   56

2 marks
Show answer
712, 23, 34, 56
7

Work out

  1. 3 × 27
  2. 45 ÷ 2
  3. 5 × 34, giving your answer as a mixed number.
3 marks
Show answer
a) 6/7 b) 2/5 c) 3 3/4
8

Work out

  1. 34 + 16
  2. 56 − 29
4 marks
Show answer
a) 11/12 b) 11/18
9

Work out 425 − 134

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

3 marks
Show answer
21320
10

96 pupils go on a school trip. 58 of the pupils are in Year 7.

13 of the Year 7 pupils bring a packed lunch.

How many Year 7 pupils do not bring a packed lunch?

3 marks
Show answer
40
11

Work out 313 ÷ 212

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

3 marks
Show answer
113
12

A rectangular vegetable patch is 212 m long and 113 m wide.

  1. Work out the area of the vegetable patch. Give your answer as a mixed number.
  2. Work out the perimeter of the vegetable patch. Give your answer as a mixed number.
4 marks
Show answer
a) 3 1/3 m² b) 7 2/3 m

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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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