Number worksheet — GCSE Higher

1.Which of these is written correctly in standard form?

2.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

3.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

4.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

5.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

6.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.

7.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

8.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

9.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

10.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.

11.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

12.Round 0.006482 to 2 significant figures.

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

14.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.

15.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.