Number worksheet — GCSE Higher

1.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

2.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.

3.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

4.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.

5.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.

6.Find the missing number: 17 × ▢ = 391

7.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

8.Work out 100 − 4 × 5²

9.Given that 2⁵ = 32, work out 2⁶.

10.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.

11.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

12.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.

13.Simplify (5² × 2³)³ ÷ (5³ × 2²)²

14.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.

15.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.