Printable · GCSE Foundation · ages 14-16

Direct and inverse proportion worksheet — GCSE Foundation

Fifteen questions on "direct and inverse proportion" — DfE statement R10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Direct and inverse proportion worksheet — GCSE Foundation

Maths · GCSE Foundation · R10 · Direct and inverse proportion · 15 questions

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1.A journey takes 4 hours at an average speed of 60 km/h. The time taken is inversely proportional to the average speed. Work out how long the same journey takes at an average speed of 80 km/h.
(a)4 hours
(b)2 hours 40 minutes
(c)3 hours
(d)5 hours 20 minutes
2.Work out the value of x when 4/x = 2/5.
(a)10
(b)2.5
(c)20
(d)8
3.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.
(a)£54
(b)£63
(c)£1.50
(d)£15
4.8 identical pens cost £6.40 in total. Work out the cost of 5 of the same pens.
(a)£2.40
(b)£0.80
(c)£4.00
(d)£10.24
5.Two numbers are in the ratio 2 : 3. The smaller number is 8. Work out the larger number.
(a)24
(b)12
(c)16
(d)9
6.6 identical printers can print a batch of exam papers in 40 minutes, all working at the same rate. Working at the same rate, work out how many minutes 4 of these printers would take to print the same batch.
(a)60 minutes
(b)40 minutes
(c)26.7 minutes
(d)24 minutes
7.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
(a)60
(b)28
(c)54
(d)6
8.The exchange rate is £1 = €1.15. Convert £200 to euros.
(a)€30.00
(b)€230.00
(c)€2300.00
(d)€201.15
9.A recipe for pancakes uses 240 g of flour to make pancakes for 6 people. Work out how many grams of flour are needed to make pancakes for 15 people, using the same recipe.
(a)40 g
(b)249 g
(c)96 g
(d)600 g
10.It takes 8 painters 6 days to paint a fence. Working at the same rate, work out how many days 4 painters would take to paint the same fence.
(a)3 days
(b)12 days
(c)10 days
(d)48 days
11.y is directly proportional to x. When x = 4, y = 10. Work out the value of y when x = 6.
(a)10
(b)15
(c)60
(d)12
12.A car uses fuel at a constant rate. It uses 24 litres of fuel to travel 300 km. Assuming the same rate, work out how many litres of fuel are needed for a journey of 175 km.
(a)21 litres
(b)1.4 litres
(c)14 litres
(d)24 litres
13.3 kg of apples cost £6. Work out the cost of 5 kg of the same apples.
(a)£3.60
(b)£10
(c)£11
(d)£30
14.A spring's extension is directly proportional to the force applied to it. A force of 5 N produces an extension of 12 mm. Work out the extension produced by a force of 20 N.
(a)32 mm
(b)3 mm
(c)48 mm
(d)36 mm
15.Two numbers a and b are in the ratio a : b = 3 : 4. Given that a = 15, work out the value of b.
(a)60
(b)16
(c)11.25
(d)20

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