Number worksheet — GCSE Foundation

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

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

3.Work out (−2)² − 3

4.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0

5.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.

6.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

7.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

8.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.

9.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

10.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.

11.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

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

13.Write down the symbol that makes this statement true: 0.45 ___ 0.5

14.Write 0.06 as a fraction in its simplest form.

15.Work out ⁴√16