Number worksheet — GCSE Higher

1.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

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

3.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

4.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

5.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

6.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

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

8.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.

9.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

10.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

11.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

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

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

14.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.

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