Number worksheet — GCSE Foundation

1.Work out (−3) × 4 + 10

2.Write 0.00072 in standard form.

3.The length of a nail is 12 cm, correct to the nearest centimetre. Using L for the length of the nail in centimetres, write down the error interval for L.

4.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

5.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.

6.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.

7.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

9.Work out 2/5 of 45.

10.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

11.Work out −4.5 + 2.8.

12.Write the fraction 47/50 as a decimal.

13.Write 0.875 as a fraction in its simplest form.

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

15.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.