Ratio, proportion and rates of change worksheet — GCSE Foundation

1.A watering can holds 4500 cm³ of water. Given that 1 litre = 1000 cm³, work out the capacity of the watering can in litres.

2.Work out the time taken to travel 120 km at an average speed of 60 km/h.

3.A force of 126 N acts on an area of 3.5 m². Work out the pressure on the area, in N/m².

4.Write 1/5 as a percentage.

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

6.Jamal invests £600 in a savings account paying 3% simple interest per year. Work out the total amount in the account after 4 years.

7.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.

8.The ratio of Josh's savings to Mia's savings is 4:7. Mia has £39 more than Josh. Work out Josh's savings.

9.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.

10.Two mathematically similar garden ponds have surface areas of 12 m² and 27 m². The fencing needed to go around the smaller pond costs £96. Assuming the cost of fencing is proportional to the perimeter of the pond, work out the cost of fencing the larger pond.

11.Two quantities are connected by the formula y = 0.8x. Write down the ratio y : x in its simplest form.

12.A footpath is drawn 3 cm long on a map with a scale of 1 : 50 000. Work out the real length of the footpath, in metres.

13.Write 3 hours 45 minutes as a decimal number of hours.

14.Write the ratio 20 : 30 in its simplest form.

15.A laptop bag has a mass of 2.4 kg. A school bag has a mass of 3.6 kg. Write the mass of the laptop bag as a fraction of the mass of the school bag, giving your answer in its simplest form.