Number worksheet — GCSE Higher

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

2.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

3.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

4.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

5.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

6.Work out √3 × √12, giving your answer as an integer.

7.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

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

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

10.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

11.Write 90 as a product of its prime factors.

12.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

13.Work out the reciprocal of (2 + 3)

14.Work out 3.7 × 24.

15.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.