Number worksheet — GCSE Foundation

1.Work out ⁴√81

2.Work out 6² − 4².

3.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

4.Write 12 as a product of its prime factors.

5.A fruit bowl contains apples, pears and plums in the ratio 3 : 4 : 5. What fraction of the fruit are not plums?

6.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

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

8.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.

9.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

10.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.

11.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

12.Work out (5 + 2) × 3²

13.Given that 2⁵ = 32, work out 2⁶.

14.Is 120 divisible by 5? Give a reason for your answer.

15.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.