Number worksheet — GCSE Foundation

1.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

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

3.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

4.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.

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

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

7.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.

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

9.A plane flies 2340 km at an average speed of 780 km/h. It departs at 08:20. Work out the arrival time, using the 24-hour clock.

10.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.

11.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.

12.Round 6.283 to 1 significant figure.

13.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

14.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

15.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.