Number worksheet — GCSE Foundation

1.Write 0.36 as a fraction in its simplest form.

2.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

3.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.

4.A flight departs at 21:35 and lands at 06:10 the following morning. Work out the total flight time.

5.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.

6.A circle has a radius of 3 cm. Which of these is the exact area of the circle?

7.Work out −(−3)⁴ + (−3)³

8.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

9.A recipe needs 0.485 kg of flour per cake. A bakery estimates its flour order by rounding this amount to 1 significant figure, then multiplying by the 60 cakes it plans to bake. Work out the bakery's estimate for the total flour needed, in kg.

10.Round 0.006852 to 2 significant figures.

11.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.

12.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

13.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

14.Which statement about the number 51 is correct?

15.A measuring jug shows a volume of 340 ml, correct to the nearest 20 ml. Work out the smallest possible volume in the jug.