Number worksheet — GCSE Higher

1.Estimate the value of √45, giving your answer to the nearest whole number.

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

3.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

4.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

5.Work out √144 − 2 × 3 + √25

6.Simplify (y³)⁴, giving your answer as a single power of y.

7.Work out 35% of 180.

8.Work out the value of 2⁻⁴

9.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

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

11.Decide which of 2³⁰ and 3²⁰ is the larger number, and write down the correct statement.

12.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.

13.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

14.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.

15.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.