Number worksheet — GCSE Foundation

1.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

2.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

3.Given that 2⁵ = 32, work out 2⁶.

4.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

5.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

6.Find the missing number: 17 × ▢ = 391

7.Work out 36 ÷ (2 × 3)

8.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

9.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

10.The attendance at a football match is 23,000, correct to the nearest thousand. Which of these attendances is not possible for the match?

11.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

12.Last year a company made a profit of £5,200,000. Write this amount in standard form.

13.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

14.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

15.Write 0.35 as a fraction in its lowest terms.