Number worksheet — GCSE Foundation

1.Work out ∛(−27) + ∛8

2.A country has an area of 25,000,000 hectares. Write this area in standard form.

3.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.

4.Work out (−6) + (−4) × 3

5.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

6.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

7.Work out the lowest common multiple of 4 and 6.

8.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.

9.Work out (2/3)² + (1/2)². Give your answer as a fraction.

10.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

11.Work out 2/3 × 3/4 exactly, giving your answer in its simplest form.

12.Work out (−3) × 4 + 2 × (−5)

13.Which of these decimals lies between 1/4 and 2/5?

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

15.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.