Printable · GCSE Foundation · ages 14-16
Ratio, proportion and rates of change worksheet — GCSE Foundation
Fifteen questions across the ratio, proportion and rates of change statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Ratio, proportion and rates of change worksheet — GCSE Foundation
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- 1.Write 45 minutes : 2 hours as a ratio in its simplest form.
- 2.A ratio is 3 : 5. Write the first part of the ratio as a fraction of the whole.
- 3.3 pencils cost £1.20. Work out the cost of 7 pencils.
- 4.A shop's number of online orders is proportional to its number of in-store orders. Last month there were 45 in-store orders and 180 online orders. Write the ratio of online orders to in-store orders, in its simplest form.
- 5.Write the ratio 18:22 in its simplest form.
- 6.y is always the same multiple of x. When x = 6, y = 15. Work out the value of y when x = 10.
- 7.A map has a scale of 1 : 100 000. Two railway stations are 8 km apart in real life. Work out the distance between the stations on the map, in centimetres.
- 8.Zara is paid £9 per hour. Her wage is directly proportional to the number of hours she works. Work out her wage for working 6 hours.
- 9.A river 120 km long is drawn as a line 6 cm long on a map. Work out the scale of the map.
- 10.A delivery driver travels 45 km in the first 30 minutes of a journey, and then a further 75 km in the next 1 hour. Work out her average speed for the whole journey, in km/h.
- 11.In a mix of mortar the ratio of the mass of sand to the mass of cement is 5 : 2. Write the mass of cement as a fraction of the total mass of the mix.
- 12.Write 350 ml : 1.4 l as a ratio in its simplest form.
- 13.A 5 kg bag of potatoes costs £4.50. Work out the cost per kilogram.
- 14.A material has a density of 2 g/cm³. Work out the mass of 5 cm³ of this material.
- 15.A hosepipe fills a paddling pool at a constant rate. The volume of water in the pool increases by 15 litres every 3 minutes. Write down the gradient of the graph of volume against time.
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