Number worksheet — GCSE Foundation

1.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

2.Work out ⁴√16

3.A block of butter has a mass of 250 g, correct to the nearest 10 g. Using m for the mass of the block in grams, write down the error interval for m.

4.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.

5.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.

6.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.

7.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

8.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

9.Work out √49

10.Write 0.325 as a fraction in its simplest form.

11.Write 60 as a product of its prime factors, using index notation.

12.Write 0.0038 in standard form.

13.Work out 3π − π, giving your answer as a multiple of π.

14.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

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