Number worksheet — GCSE Higher

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

2.Work out 3 × (−2)² − 5

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

4.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

5.Work out 6² − 4².

6.Work out the value of 2⁻²

7.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?

8.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

9.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

10.Which one of these statements is true?

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

12.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

13.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

14.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.

15.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.