Number worksheet — GCSE Foundation

1.Write these decimals in order, starting with the smallest: 0.6, 0.55, 0.601, 0.5, 0.56

2.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

3.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

4.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.

5.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

6.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

7.Write 45,000 in standard form.

8.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

9.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.

10.2/3 of an amount of money is £30. Work out the amount.

11.A café orders 340 bread rolls at 24p each and 85 cakes at £1.35 each. Work out the total cost of the order.

12.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

13.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

14.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

15.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².