Number worksheet — GCSE Foundation

1.A cycle route is 350 m long. A footpath runs alongside it for 3/7 of that length. Work out the length of the footpath.

2.Write down the value of 7⁰

3.Work out 8% of £250.

4.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

5.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

6.Work out 3.7 × 24.

7.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

8.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

9.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

10.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

11.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

12.Work out √144 − 2 × 3 + √25

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

14.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.

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