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Grade 4 · Foundation and Higher · free GCSE maths worksheet

Rounding to significant figures

Rounding to 1, 2 or 3 significant figures.

12 original questions, 33 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

Work out an estimate for the value of

48.7 × 6.120.216

You must round each number to 1 significant figure.

3 marks
Show answer
1500
2
  1. Round 58 420 to 1 significant figure.
  2. Round 0.0386 to 1 significant figure.
  3. Round 7.46 to 1 significant figure.
3 marks
Show answer
a) 60 000 b) 0.04 c) 7
3
  1. How many significant figures has 4052?
  2. How many significant figures has 0.0306?
  3. How many significant figures has 20.50?
3 marks
Show answer
a) 4 b) 3 c) 4
4
  1. Round 0.004567 to 2 significant figures.
  2. Round 58 420 to 2 significant figures.
  3. Round 3.0972 to 2 significant figures.
3 marks
Show answer
a) 0.0046 b) 58 000 c) 3.1
5
  1. A calculator display shows 4.826193752. Write this number correct to 3 significant figures.
  2. A calculator display shows 0.0048029. Write this number correct to 3 significant figures.
  3. Write 0.0048029 correct to 1 significant figure.
3 marks
Show answer
a) 4.83 b) 0.00480 c) 0.005
6

Work out 18.627.9

  1. Write down all the figures on your calculator display.
  2. Write your answer correct to 3 significant figures.
3 marks
Show answer
a) 43.79240506 b) 43.8
7

The floor area of a hall is 412.7 m2.

Mrs Patel says "To 2 significant figures this is 410." Ivan says "To 2 significant figures this is 400."

Who is correct? Explain your answer.

2 marks
Show answer
Mrs Patel
8

Use your calculator to work out

(8.2 + 3.55) ÷ 3.25

  1. Give this answer to 6 decimal places.
  2. Write your answer to part (a) correct to 4 significant figures.
3 marks
Show answer
a) 3.615385 b) 3.615
9

Use your calculator to work out

(2.82 − 1.9) ÷ (0.3 + 0.45)

  1. Write down all the figures on your calculator display.
  2. Write your answer to part (a) correct to 1 significant figure.
3 marks
Show answer
a) 7.92 b) 8
10

A whole number, n, is rounded to 3 significant figures. The answer is 47 200.

Write down the smallest and the largest possible value of n.

2 marks
Show answer
smallest 47 150, largest 47 249
11
  1. Write the number 4738 correct to 2 significant figures.
  2. Write the number 0.05372 correct to 2 significant figures.
2 marks
Show answer
a) 4700 b) 0.054
12

Use your calculator to work out

(5.42 − √53.29) ÷ sin 30°

  1. Write down all the figures on your calculator display.
  2. Write your answer to part (a) correct to 3 significant figures.
3 marks
Show answer
a) 43.72 b) 43.7

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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