Number worksheet — GCSE Foundation

1.A washing machine costs £320 before VAT. VAT is charged at 20%. Work out the total price including VAT.

2.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

3.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

4.Write 0.0038 in standard form.

5.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.

6.Work out 35% of 180.

7.A café offers 3 types of soup and 4 types of bread roll. Work out how many different combinations of one soup and one bread roll are possible.

8.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

9.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.

10.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

11.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

12.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

13.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

14.A red blood cell has a diameter of about 7 × 10⁻⁶ metres. A virus has a diameter about 100 times smaller. Work out the diameter of the virus. Give your answer in standard form.

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