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.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?

3.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

4.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

5.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.

6.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

7.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.

8.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

9.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

10.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.

11.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

12.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

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

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

15.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.