Printable · GCSE Foundation · ages 14-16

Multiplicative relationships as ratios or fractions worksheet — GCSE Foundation

Fifteen questions on "multiplicative relationships as ratios or fractions" — DfE statement R6. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Multiplicative relationships as ratios or fractions worksheet — GCSE Foundation

Maths · GCSE Foundation · R6 · Multiplicative relationships as ratios or fractions · 15 questions

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1.The table shows values of x and y. x: 3, 5, 8. y: 12, 20, 32. Which statement correctly describes the relationship between x and y?
(a)y is always 4 times x.
(b)y is always double x, plus 6.
(c)y is always x plus 9.
(d)x is always 4 times y.
2.A baker uses 450 g of flour and 300 g of butter in a batch of pastry. Write the mass of butter as a fraction of the total mass of flour and butter, in its simplest form.
(a)3/2
(b)2/5
(c)2/3
(d)3/5
3.A tray holds 8 muffins and 20 cupcakes. Write the ratio of the number of muffins to the number of cupcakes in its simplest form.
(a)2:7
(b)2:3
(c)2:5
(d)5:2
4.Cheng is paid an hourly rate that is proportional to the number of hours she works. She earns £52.50 for 7 hours. Work out how much she earns for 11 hours, assuming the same rate.
(a)£99
(b)£56.50
(c)£30
(d)£82.50
5.A rope of length A is 1.5 times as long as a rope of length B. Write the ratio A : B in its simplest form.
(a)2 : 3
(b)3 : 5
(c)3 : 2
(d)1.5 : 1
6.A box contains 12 red counters and 18 blue counters. Write the number of red counters as a fraction of the number of blue counters. Give your answer in its simplest form.
(a)1/2
(b)3/2
(c)2/3
(d)2/5
7.An adult cinema ticket costs £15 and a child ticket costs £9. Write the ratio of the adult price to the child price in its simplest form.
(a)5:3
(b)2:3
(c)3:5
(d)5:8
8.The number of pupils who walk to school is 3 times the number who cycle. Write the ratio of the number who cycle to the number who walk, in its simplest form.
(a)1:4
(b)1:3
(c)3:1
(d)3:4
9.To make a shade of green paint, the amount of yellow paint used is always 0.75 times the amount of blue paint used. Write the amount of blue paint as a fraction of the amount of yellow paint, in its simplest form.
(a)40/3
(b)1/4
(c)3/4
(d)4/3
10.A market stall sells apples at a fixed price per kilogram. Priya buys 3 kg for £5.40. Write the ratio of the mass in kilograms to the cost in pounds, in its simplest form.
(a)1 : 18
(b)9 : 5
(c)5 : 9
(d)3 : 5
11.Ravi has 5 pears. He has 4 times as many apples as pears. Write the number of pears as a fraction of the number of apples.
(a)4/1
(b)5/9
(c)4/5
(d)1/4
12.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.
(a)5/7
(b)2/5
(c)2/7
(d)7/2
13.5 tins of soup cost £8 in total. Work out the multiplier that changes the number of tins into the total cost in pounds.
(a)0.625
(b)40
(c)1.6
(d)3
14.y is always the same multiple of x. When x = 6, y = 15. Work out the value of y when x = 10.
(a)4
(b)15
(c)25
(d)19
15.A scale model of a bus is built so that 5 cm on the model represents 60 cm on the real bus. Write the ratio of the length of the model to the length of the real bus, in its simplest form.
(a)1:55
(b)5:12
(c)12:1
(d)1:12

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