Number worksheet — GCSE Higher

1.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

2.Given that 2⁵ = 32, work out 2⁶.

3.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

4.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

5.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

6.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

7.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.

8.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

10.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

11.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.

12.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.

13.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

14.Petrol costs £1.48 per litre. Sam buys 35 litres and pays with three £20 notes. Work out his change.

15.A water tank holds 80 litres when full. It currently contains 60 litres. Work out what fraction of the tank is empty.