Number worksheet — GCSE Foundation

1.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

2.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

3.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.

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

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

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

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

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

10.Which of these is written correctly in standard form?

11.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

12.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

13.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

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

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