Number worksheet — GCSE Foundation

1.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

2.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

3.Work out 35% of 180.

4.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

5.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

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

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

8.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.

9.After a price increase of 10%, a laptop costs £330. Work out the original price.

10.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.

11.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.

12.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³

13.A café buys 18 boxes of teabags at £3.45 each, and sells all the teabags for £108 in total. Work out the café's profit.

14.Which of these is written correctly in standard form?

15.A tin of soup has a mass of 450 g. A bag of potatoes has a mass of 2.6 kg. Work out the total mass, in kilograms.