Number worksheet — GCSE Foundation

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

2.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

4.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

5.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

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

7.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

8.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

9.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.

10.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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

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

13.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.

14.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.

15.Round 6.283 to 1 significant figure.