Number worksheet — GCSE Foundation

1.A car travels 180 km using 6 litres of fuel. Work out the car's fuel consumption in kilometres per litre, then work out how many kilometres it can travel on a full tank of 12 litres at this rate.

2.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

3.Work out −(−3)⁴ + (−3)³

4.Write 260,000 in standard form.

5.Write the mixed number 2 1/4 as an improper fraction.

6.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

7.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

8.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.

9.A window display has red baubles, gold baubles and green baubles in the ratio 4 : 5 : 6. What fraction of the baubles are not green?

10.Work out √225 ÷ 3.

11.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

12.Which one of these statements is true?

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

14.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

15.A recipe states that a cake needs 200 g of flour, correct to the nearest 25 g. Work out the smallest possible mass of flour, in grams, that could actually be used.