Number worksheet — GCSE Foundation

1.3.4 × 10⁵ is written as an ordinary number. Work out this number.

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

3.Work out 8% of £250.

4.Given that 2⁵ = 32, work out 2⁶.

5.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

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

7.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

8.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

9.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.

10.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

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

12.Using only 20p coins and 10p coins, and at least one of each, work out how many different ways there are to make exactly 60p. List the possibilities systematically.

13.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

14.2/3 of an amount of money is £30. Work out the amount.

15.A cheetah runs at a steady speed of 25 metres per second. Work out this speed in kilometres per hour.