Ratio, proportion and rates of change worksheet — GCSE Foundation

1.A fruit bowl contains 9 apples and 21 oranges. Write down the ratio of apples to oranges in its simplest form.

2.In a bag the ratio of red counters to blue counters is 7 : 4. Write the number of red counters as a fraction of the number of blue counters.

3.The same jumper is sold at two shops. Shop A charges £40 and Shop B charges £50. Write down the price at Shop A as a percentage of the price at Shop B.

4.A plan of a garden is drawn to a scale of 1 : 200. A path measures 3 cm on the plan. Work out the real length of the path, in centimetres.

5.A metal block has a mass of 270 g and a volume of 30 cm³. Work out the density of the block, in g/cm³.

6.Write the ratio 3/4 : 1/2 as a ratio of whole numbers in its simplest form.

7.Two cars travel at constant speeds. Car A travels 150 km in 3 hours. Car B travels 180 km in 4 hours. Which car is faster, and what is its speed?

8.Work out how many seconds there are in 3 minutes and 20 seconds.

9.A ratio is 3 : 5. Write the first part of the ratio as a fraction of the whole.

10.Three friends share a raffle prize of £360 in the ratio 2:3:4. Work out the share of the friend whose part of the ratio is 3.

11.A map has a scale of 2 cm : 5 km. A footpath measures 8 cm on the map. Work out the real length of the footpath, in kilometres.

12.Write the ratio 2/3 : 1/2 as a ratio of whole numbers, in its simplest form.

13.A science technician mixes 400 g of a salt solution of concentration 5% with 100 g of a salt solution of concentration 25%. Work out the concentration of the mixture.

14.A printer prints at a constant rate. The time taken to print a batch of forms is inversely proportional to the printer's speed, in pages per minute. Printing at 20 pages per minute takes 15 minutes. Work out how long the same batch takes to print at 25 pages per minute. Give your answer in minutes.

15.A worker is paid £13.20 per hour. Work out this rate of pay in pence per minute.