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.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?
(a)Car A, 45 km/h
(b)Car A, 50 km/h
(c)Car B, 45 km/h
(d)Car B, 50 km/h
2.3 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
3.Amelia uses 2 kg of flour to bake 5 cakes. Using the same recipe, work out how many cakes she can bake with 6 kg of flour.
(a)10
(b)12
(c)15
(d)20
4.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
5.8 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
6.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
7.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
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.
(a)£54
(b)£63
(c)£1.50
(d)£15
9.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
10.6 identical taps fill a paddling pool in 20 minutes. Each tap fills at the same steady rate. Work out how long 3 of these taps would take to fill the same pool.
(a)30 minutes
(b)10 minutes
(c)40 minutes
(d)17 minutes
11.It takes 2 identical pumps 10 hours to empty a flooded basement. Working at the same rate, work out how many hours 5 of these pumps would take to empty the same basement.
(a)4 hours
(b)7 hours
(c)20 hours
(d)25 hours
12.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
13.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
14.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
15.y is inversely proportional to x. When x = 5, y = 8. Work out the value of y when x = 10.
(a)4
(b)0.8
(c)16
(d)3

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