Number worksheet — GCSE Higher

1.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.

2.Work out the reciprocal of (2 + 3)

3.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.

4.Last year a company made a profit of £5,200,000. Write this amount in standard form.

5.A charity raises money from a raffle and a cake sale in the ratio 5 : 3. Altogether the charity raises £320. Work out how much money the cake sale raised.

6.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.

7.Work out √3 × √12, giving your answer as an integer.

8.Work out ⁴√81

9.Write 200 as a product of its prime factors, using index notation.

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

11.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

12.Write down the symbol that makes this statement true: −2/3 ___ −5/6

13.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.

15.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.