Robinson Tuition
Year 8 · Key Stage 3 · free KS3 maths worksheet

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
  1. Write down the denominator of the fraction 1535
  2. Write 1535 in its simplest form.
  3. Write 2436 in its simplest form.
3 marks
Show answer
a) 35 b) 3/7 c) 2/3
2
  1. Find the values of a and b.
    34 = a20 = 21b
  2. Write = or ≠ between each pair of fractions.
    (i) 69  ___  23     (ii) 1012  ___  45
4 marks
Show answer
a) a = 15, b = 28 b) (i) = (ii) ≠
3

Choose the correct symbol, <, > or =, to make each statement true.

  1. 35  ___  710
  2. 46  ___  23
2 marks
Show answer
a) < b) =
4

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

23   34   712   56

2 marks
Show answer
712, 23, 34, 56
5
  1. Write 325 as an improper fraction.
  2. Write 296 as a mixed number.
2 marks
Show answer
a) 17/5 b) 4 5/6
6
  1. Write 38 as a decimal.
  2. Write 0.45 as a fraction in its simplest form.
  3. Which is bigger, 720 or 0.36? Show how you decide.
3 marks
Show answer
a) 0.375 b) 9/20 c) 0.36 (because 7/20 = 0.35)
7

Maya has £64.

She spends 38 of her money.

Work out how much money Maya has left.

3 marks
Show answer
£40
8

Work out

  1. 34 × 12
  2. 25 ÷ 4
  3. 5 − 238
3 marks
Show answer
a) 9 b) 1/10 c) 2 5/8
9

Work out 425 − 134

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

3 marks
Show answer
21320
10

Work out 313 ÷ 212

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

3 marks
Show answer
113
11
  1. Work out 134 + 256

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

  2. Work out 212 × 115
4 marks
Show answer
a) 4 7/12 b) 3
12

Amara bakes cakes. Each cake needs 214 cups of flour.

  1. How many cups of flour does she need for 3 cakes? Give your answer as a mixed number.
  2. Amara has 10 cups of flour. Work out how many whole cakes she can make, and how much flour she has left over.
4 marks
Show answer
a) 6 3/4 cups b) 4 cakes with 1 cup left over

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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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