Number worksheet — GCSE Foundation

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

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

3.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.

4.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

5.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

6.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

7.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.

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

9.Round 0.006482 to 2 significant figures.

10.Given that 2⁵ = 32, work out 2⁶.

11.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

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

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.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

15.After a price increase of 10%, a laptop costs £330. Work out the original price.