Number worksheet — GCSE Foundation

1.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

2.Work out 10% of 30% of £200.

3.Write 260,000 in standard form.

4.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.

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

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

8.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

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

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

11.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

13.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

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

15.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.