Number worksheet — GCSE Higher

1.Ten athletes run in a final. Gold, silver and bronze medals are awarded to the first three athletes to finish, and there are no ties. Work out how many different ways the three medals can be awarded.

2.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

3.Round 0.006482 to 2 significant figures.

4.Work out the value of √(16 + 9)

5.Expand and simplify √3(2 + √12).

6.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

7.Work out −(−3)⁴ + (−3)³

8.Write down the symbol that makes this statement true: −2/3 ___ −5/6

9.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

10.Grace works out 7 × 99 by writing 99 as 100 − 1. Use her method to work out 7 × 99.

11.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.

12.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

13.Work out the value of 2⁻²

14.Work out √225 ÷ 3.

15.Work out 10% of 30% of £200.