Number worksheet — GCSE Higher

1.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?

2.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

3.A weather app records the temperature at three points in one day: 6 °C at noon, −2 °C at midnight, and −7 °C just before dawn. Work out the difference between the highest and lowest of these three temperatures.

4.A florist has 5 different flowers. Freya picks 3 of them to make a small bunch, and the order in which she picks them does not matter. Work out how many different bunches she could make.

5.Work out 4368 ÷ 12.

6.Work out −4.5 + 2.8.

7.Last year a company made a profit of £5,200,000. Write this amount in standard form.

8.Write 0.06 as a fraction in its simplest form.

9.Work out 100 − 4 × 5²

10.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

11.Which of these decimals lies between 1/4 and 2/5?

12.Simplify √45.

13.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

14.Write 0.325 as a fraction in its simplest form.

15.Round 592.5 to the nearest 10.