Number worksheet — GCSE Foundation

1.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

2.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

4.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

5.Write down the symbol that makes this statement true: 3/10 ___ 0.3

6.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

7.Work out the lowest common multiple of 9 and 15.

8.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

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

10.Write down the symbol that makes this statement true: 6/11 ___ 4/11

11.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

12.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

13.Work out 2/5 + 1/4, giving your answer in its simplest form.

14.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

15.Work out 3 × (−2)² − 5