Number worksheet — GCSE Foundation

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

2.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

3.Given that 2⁵ = 32, work out 2⁶.

4.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

5.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

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

7.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

8.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.

9.Write 90 as a product of its prime factors.

10.Write down the reciprocal of 0.2

11.Write 0.0038 in standard form.

12.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

13.Work out √(4 × 9)

14.A shortbread recipe uses flour and butter in the ratio 5 : 2. Yuki changes the recipe by doubling the amount of butter but keeping the amount of flour the same. Work out the fraction of the new mixture that is butter.

15.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.