Number worksheet — GCSE Higher

1.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

2.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

3.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

4.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

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

7.Work out 5/6 × 2/9, giving your answer in its simplest form.

8.Work out 4368 ÷ 12.

9.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.

10.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.

11.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

12.Write 0.35 as a fraction in its lowest terms.

13.Work out (−6) + (−4) × 3

14.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

15.A driving instructor is working out how many current-style UK number plates are possible. The format is 2 letters, then 2 digits, then a space, then 3 letters (for example AB12 CDE). The letters I, O and Q are never used in any letter position, leaving 23 allowed letters, but every letter and every digit may repeat anywhere on the plate. Work out how many different number plates are possible, giving your answer in standard form to 2 significant figures.