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

Maths · GCSE Foundation · Ratio, proportion and rates of change · 15 questions

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1.A charity receives £360 in donations in January and £480 in donations in February. Write the amount received in January as a fraction of the amount received in February, giving your answer in its simplest form.
(a)3/4
(b)1/4
(c)4/3
(d)3/7
2.Paint costs £14.40 for every 20 m² of wall it covers. Assuming the same rate, work out the cost of the paint needed to cover 56 m² of wall.
(a)£40.32
(b)£5.14
(c)£50.40
(d)£0.72
3.A train journey takes 2 hours 15 minutes. A bus journey to the same place takes 3 hours 45 minutes. Write the time for the train journey as a fraction of the time for the bus journey, giving your answer in its simplest form.
(a)2/5
(b)5/3
(c)3/8
(d)3/5
4.A shop's profit, P pounds, is in direct proportion to the number of items sold, n. When 15 items are sold, the profit is £45. Write down the ratio n : P in its simplest form for this shop.
(a)1 : 45
(b)3 : 1
(c)1 : 3
(d)15 : 3
5.A gardener mixes 300 ml of plant feed concentrate with 1.2 litres of water to make a spray. Write the ratio of concentrate to water in its simplest form.
(a)4 : 1
(b)3 : 12
(c)1 : 4
(d)1 : 1.2
6.A company's profit this year is 130% of last year's profit. Last year's profit was £40,000. Work out this year's profit.
(a)£12,000
(b)£52,000
(c)£5,200
(d)£40,130
7.The ratio of Josh's savings to Mia's savings is 4:7. Mia has £39 more than Josh. Work out Josh's savings.
(a)£39
(b)£52
(c)£91
(d)£13
8.A taxi journey of m miles costs C pounds, where C = 2.5m + 3. A driver says the ratio C : m is the same for every journey. Is the driver correct? Give a reason for your answer.
(a)The driver is correct — the ratio C : m is the same for every journey.
(b)The ratio C : m is not constant because the formula includes a fixed charge of £3 as well as the charge per mile.
(c)The ratio C : m is not constant because the charge per mile, £2.50, is not a whole number.
(d)The ratio C : m is not constant because C increases as m increases.
9.A metal has a density of 7.8 g/cm³. Work out the density of the metal in kg/m³.
(a)7.8 kg/m³
(b)78000 kg/m³
(c)7800 kg/m³
(d)780 kg/m³
10.A sum of £150 is divided between Ben and Chloe in the ratio 2:3. Work out Chloe's share.
(a)£60
(b)£75
(c)£90
(d)£30
11.A journey to school takes 12 minutes. A journey to the gym takes 20 minutes. Write the time for the journey to school as a fraction of the time for the journey to the gym, giving your answer in its simplest form.
(a)2/5
(b)5/3
(c)3/8
(d)3/5
12.The number of biscuits, b, that each guest at a party receives is inversely proportional to the number of guests, g. Which equation could show this relationship?
(a)b = g ÷ k
(b)b = k + g
(c)b = kg
(d)b = k ÷ g
13.A bag of potatoes has a mass of 3 kg. A bag of carrots has a mass of 5 kg. Write the mass of the potatoes as a fraction of the mass of the carrots.
(a)3/5
(b)5/3
(c)2/5
(d)3/8
14.Three business partners share a profit of £48,000 in the ratio 3:5:4. Work out how much the partner with 5 parts receives.
(a)£20,000
(b)£12,000
(c)£4,000
(d)£16,000
15.The exchange rate is £1 = 1.28 US dollars. Convert £350 into US dollars.
(a)273.44 US dollars
(b)4,480.00 US dollars
(c)448.00 US dollars
(d)351.28 US dollars

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