Number worksheet — GCSE Higher

1.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.

2.Work out 10% of 30% of £200.

3.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.

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

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

7.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.

8.Round 0.006482 to 2 significant figures.

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

10.Work out (8 × 10⁻⁵) × (5 × 10³). Give your answer in standard form.

11.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

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

13.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.

14.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

15.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.