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.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
2.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
3.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
4.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
5.To make orange paint, red and yellow paint are mixed in the ratio 6:15. Write the amount of red paint as a fraction of the amount of yellow paint, in its simplest form.
(a)5/7
(b)2/5
(c)2/7
(d)5/2
6.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
7.5 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
8.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
9.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
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.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.
12.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
13.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
14.A shop's takings were £4500 in May. In June the takings fell by £900. Write the June takings as a fraction of the May takings, in its simplest form.
(a)4/5
(b)1/5
(c)5/4
(d)4/9
15.In a car park there are 35 cars and 15 vans. Write the ratio of the number of vans to the number of cars in its simplest form.
(a)3 : 10
(b)7 : 3
(c)3 : 7
(d)15 : 35

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