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

Negative numbers

12 original questions, 28 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

Here are the lowest temperatures, in °C, recorded in five cities one winter night.

−3   −11   −0.5   −8   −1

Write the temperatures in order. Start with the coldest.

2 marks
Show answer
-11, -8, -3, -1, -0.5
3

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

  1. −7 □ −3
  2. −2.5 □ −2.05
  3. 4 − 9 □ −5
3 marks
Show answer
a) < b) < c) =
4

Write true or false for each statement.

  1. −6 ≥ −6
  2. −4 ≠ 4
  3. −3 ≤ −8
3 marks
Show answer
a) true b) true c) false
5

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

−1.5   0.3   −0.35   −3   1

1 mark
Show answer
-3, -1.5, -0.35, 0.3, 1
6

Work out

  1. 5 − (−8)
  2. −12 + (−7)
2 marks
Show answer
a) 13 b) -19
7

Work out

  1. −6 × 4
  2. −35 ÷ −7
  3. −3 × −2 × −5
3 marks
Show answer
a) -24 b) 5 c) -30
8

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
Show answer
11
9

Amira has £25 in her bank account.

She spends £40 on a pair of trainers using her bank card.

The next day she pays in £12

What is her bank balance now?

2 marks
Show answer
-£3
10

Find the missing number in each calculation.

  1. −4 × □ = 28
  2. □ − 6 = −10
  3. −45 ÷ □ = 9
3 marks
Show answer
a) -7 b) -4 c) -5
11
  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
Show answer
a) 16 b) 9 c) (3 - 5) × 2 = -4
12

In a class quiz you score 3 points for a correct answer and −2 points for a wrong answer.

Leo answers 14 questions. He gets 5 correct and the rest wrong.

  1. Work out Leo's total score.
  2. Mia also answers 14 questions. Her total score is 7. How many did Mia get correct?
3 marks
Show answer
a) -3 b) 7

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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