Number worksheet — GCSE Foundation

1.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

2.Round 6.283 to 1 significant figure.

3.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

4.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

5.Work out 10% of 30% of £200.

6.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

7.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

8.Given that 2⁵ = 32, work out 2⁶.

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

10.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.

11.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.

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

13.Write 0.0038 in standard form.

14.Josh buys 7 pencils at 85p each. He pays with a £10 note. Work out his change.

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