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Year 8 · Key Stage 3 · free KS3 maths worksheet

Negative numbers

12 original questions, 26 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 numbers in order of size. Start with the smallest number.

−4   3   −7   0   5

1 mark
Show answer
-7, -4, 0, 3, 5
2

Write each list in order of size. Start with the smallest number.

  1. 0.47   0.407   0.5   0.074
  2. −0.6   −0.06   −1.2   −0.65   −1
2 marks
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a) 0.074, 0.407, 0.47, 0.5 b) -1.2, -1, -0.65, -0.6, -0.06
3

Write these numbers in order of size. Start with the smallest number.

−1.5   0.3   −0.35   −3   1

1 mark
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-3, -1.5, -0.35, 0.3, 1
4

The temperature in Cardiff is 3 °C.

The temperature in Oslo is −8 °C.

Work out how many degrees colder Oslo is than Cardiff.

2 marks
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11
5

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

  1. −7 □ −3
  2. −2.45 □ −2.5
  3. (−5) × (−2) □ −10
  4. Write down all the integers n such that −3 ≤ n < 2
3 marks
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a) < b) > c) ≠ (accept >) d) -3, -2, -1, 0, 1
6

Work out

  1. −6 × 4
  2. −45 ÷ −9
  3. −3 × −2 × −5
3 marks
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a) -24 b) 5 c) -30
7

At midnight the temperature in York was −4 °C.

By 4 am the temperature had fallen by 5 °C.

By 10 am the temperature had risen by 8 °C from its 4 am value.

Work out the temperature at 10 am.

2 marks
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-1°C
8

Leah's bank account is overdrawn by £35, so her balance is −£35.

She pays in £60. Then she spends £42 using her bank card.

Work out Leah's new balance.

2 marks
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-£17
9
  1. Work out (−4)2
  2. Work out 2 − (−7)
  3. Put a pair of brackets in this statement to make it true.
    3 − 5 × 2 = −4
3 marks
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a) 16 b) 9 c) (3 - 5) × 2 = -4
10

Work out the missing number in each calculation.

  1. −8 × □ = 56
  2. □ ÷ (−3) = 6
2 marks
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a) -7 b) -18
11

Here are the temperatures, in °C, at 6 am on five days in January.

−4   −1   2   −3   −4

Work out the mean temperature.

2 marks
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-2°C
12

In a quiz, a correct answer scores +3 points and a wrong answer scores −2 points.

Priya answers 16 questions. She gets 7 correct and the rest wrong.

Work out Priya's total score.

3 marks
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3

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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