Number worksheet — GCSE Foundation

1.2/3 of an amount of money is £30. Work out the amount.

2.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

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

4.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

5.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.

6.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

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

8.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

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

10.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

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

12.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

13.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

14.Round 0.006482 to 2 significant figures.

15.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.