Number worksheet — GCSE Foundation

1.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

2.A number, n, is equal to 3.7 when rounded to 1 decimal place. Write down the error interval for n.

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

4.Zoe worked out 3/8 + 1/8 by adding the numerators and the denominators, and got 4/16. Work out the correct value of 3/8 + 1/8, giving your answer in its simplest form.

5.Work out 5/6 × 2/9, giving your answer in its simplest form.

6.A jug holds 3 1/3 litres of juice. Each glass holds 2/3 of a litre. Work out how many glasses can be filled from the jug.

7.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

8.Work out √144

9.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

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

11.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

12.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

13.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.

14.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.