Number worksheet — GCSE Foundation

1.Work out ∛(−27) + ∛8

2.A piece of ribbon is 2.4 metres long. Kim cuts 40 cm from it. Work out the length of ribbon left, in millimetres.

3.A café is planning its lunch menu. It will offer one soup from 3 choices and one sandwich from 4 choices, but the mushroom soup, one of the 3 soups, will only be served with the cheese sandwich, one of the 4 sandwiches, on a normal day. Work out how many different soup-and-sandwich combinations are available on a normal day.

4.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.

5.Write down the reciprocal of 0.2

6.Work out how many factors 36 has.

7.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.

8.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

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

10.Write 0.36 as a fraction in its simplest form.

11.Work out (5 + 2) × 3²

12.In the number 3.472, work out the value of the digit 7.

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

14.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

15.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.