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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.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
2.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.
3.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
4.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
5.A photo is enlarged so that its new width is 1.4 times its original width. Write the multiplier that would scale the new width back down to the original width, as a fraction in its simplest form.
(a)3/5
(b)5/7
(c)5/2
(d)7/5
6.Water flows into a tank at a constant rate. After 8 minutes the tank holds 200 litres. Write the ratio of time in minutes to volume in litres, in its simplest form.
(a)25:1
(b)1:25
(c)25:8
(d)8:25
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.£1 is worth 1.25 US dollars. Write the ratio of pounds to dollars in its simplest form, using whole numbers.
(a)1:1
(b)5:4
(c)1:5
(d)4:5
9.A recipe for 8 people needs 320 g of rice. Sanjay scales the recipe down to serve 5 people, then wants to scale his new amount back up to serve 8 people again. Work out the multiplier he should use to scale his amount for 5 people back up to the amount for 8 people.
(a)8/5
(b)3/5
(c)25/64
(d)5/8
10.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
11.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
12.x is 2/3 of y. Write the ratio x : y in its simplest form.
(a)3 : 2
(b)3 : 5
(c)2 : 5
(d)2 : 3
13.The mass of a length of copper pipe is proportional to its length. A pipe of length 4.5 m has a mass of 12.6 kg. Work out the mass of a pipe of the same type of length 9.5 m.
(a)12.6
(b)3.4
(c)17.6
(d)26.6
14.A car uses 6 litres of petrol to travel 90 km. Write the ratio of the distance travelled in km to the amount of petrol used in litres, in its simplest form.
(a)15:1
(b)5:2
(c)14:1
(d)1:15
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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