Number worksheet — GCSE Foundation

1.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

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

3.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?

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

5.A cube-shaped storage tank has a volume of 15,625 cubic centimetres. Work out the length of one edge of the tank.

6.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.

7.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

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

9.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

10.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

11.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.

12.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

13.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

14.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

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