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Year 8 · Key Stage 3 · free KS3 maths worksheet

BIDMAS (order of operations)

12 original questions, 27 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

Work out 3 + 4 × 5

1 mark
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23
2
  1. Work out 15 − 6 + 4
  2. Work out 30 ÷ 5 × 3
2 marks
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a) 13 b) 18
3

Sam works out 24 ÷ 4 × 2

Sam's answer is 3

Sam's answer is wrong.

Explain what Sam has done wrong.

1 mark
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Sam worked out 4 × 2 first. Division and multiplication have equal priority and are done left to right, so 24 ÷ 4 × 2 = 6 × 2 = 12
4

Work out √49 + 23 × 3

2 marks
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31
5

Work out (52 − 1) ÷ (2 + 4) × 3

2 marks
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12
6
  1. Write down the reciprocal of 5
  2. Work out 20 × 15 + 32
2 marks
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a) 1/5 b) 13
7
  1. Work out 8 + 12 ÷ 4
  2. Put a pair of brackets in this statement to make it true.
    8 + 12 ÷ 4 = 5
  3. Put a pair of brackets in this statement to make it true.
    2 + 3 × 4 − 1 = 19
3 marks
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a) 11 b) (8 + 12) ÷ 4 = 5 c) (2 + 3) × 4 - 1 = 19
8

Work out 3.6 + 4.8 × 2.5

2 marks
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15.6
9

Lily buys 3 notebooks and a pen.

Each notebook costs £1.35.

The pen costs 85p.

Lily pays with a £10 note.

Work out how much change Lily should get.

3 marks
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£5.10
10

Work out 112 × 4 − 23

Give your answer as a mixed number.

3 marks
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5 1/3
11

Work out (346 − 128) × 24

Do not use a calculator.

3 marks
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5232
12

36 pupils go on a school trip to a theme park.

The coach costs £540 in total. The coach cost is shared equally between the pupils.

Each pupil also pays £8.50 for their own entry ticket.

Work out the total amount each pupil pays.

3 marks
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£23.50

Your score

Answer the questions above and your score appears here.

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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