Number worksheet — GCSE Foundation

1.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.

2.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

3.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

4.Work out the value of ∛8.

5.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.

6.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.

7.Work out 3.7 × 24.

8.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

9.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.

10.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

11.Round 592.5 to the nearest 10.

12.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

13.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

14.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

15.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.