Ratio, proportion and rates of change worksheet — GCSE Foundation

1.1 metre = 100 cm. Work out how many square centimetres there are in 1 square metre.

2.A runner's speed is 8 m/s. Given that there are 3600 seconds in an hour and 1000 metres in a kilometre, work out the runner's speed in km/h.

3.The ratio of two lengths is 0.6 : 1.5. Write this ratio in its simplest whole-number form.

4.Write the ratio 2 : 1/4 as a ratio of whole numbers in its simplest form.

5.Write 250 g : 2 kg as a ratio in its simplest form.

6.A colony of bacteria has 400 bacteria. The number increases by 15% each hour. Work out the number of bacteria after 1 hour.

7.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.

8.Write 45 minutes : 2 hours as a ratio in its simplest form.

9.A coach travels the 54 miles from London to Brighton in 1 hour 30 minutes. Work out the average speed of the coach, in mph.

10.An adult cinema ticket costs £15 and a child ticket costs £9. Write the ratio of the adult price to the child price in its simplest form.

11.A garden centre has 90 rose bushes in stock. It receives a delivery that increases its stock of rose bushes by 20%. In the same week it sells 150 lavender bushes. Work out the new number of rose bushes, then write it as a fraction of the number of lavender bushes sold, giving your answer in its simplest form.

12.It takes 2 identical pumps 10 hours to empty a flooded basement. Working at the same rate, work out how many hours 5 of these pumps would take to empty the same basement.

13.Square P has sides of length 3 cm. Square Q has sides of length 12 cm. Write the ratio of the area of square P to the area of square Q in its simplest form.

14.A map has a scale of 1 : 40 000. A cycle path measures 7.5 cm on the map. Work out the real length of the cycle path, in kilometres.

15.Write the ratio 18:22 in its simplest form.