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.Write down the reciprocal of 5/8

3.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

4.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

5.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

6.Write 200 as a product of its prime factors, using index notation.

7.Work out 5 + 3 × (9 − 6)

8.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

9.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

10.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

11.Work out 2/5 + 1/4, giving your answer in its simplest form.

12.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

13.Round 592.5 to the nearest 10.

14.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.

15.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.