Printable · GCSE Foundation · ages 14-16

Dividing in a ratio worksheet — GCSE Foundation

Fifteen questions on "dividing in a ratio" — DfE statement R5. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Dividing in a ratio worksheet — GCSE Foundation

Maths · GCSE Foundation · R5 · Dividing in a ratio · 15 questions

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1.£120 is shared between three cousins in the ratio 3:4:5. Work out the largest share.
(a)£10
(b)£50
(c)£30
(d)£40
2.A jug holds 3 litres of a drink that is 60% fruit juice. 1 litre of water is added to the jug. Work out the percentage of the new mixture that is fruit juice.
(a)60%
(b)75%
(c)45%
(d)15%
3.A bag contains red counters and blue counters in the ratio 5:3. There are 56 counters in the bag altogether. Work out how many counters are blue.
(a)35
(b)7
(c)28
(d)21
4.2.4 kg of cheese costs £36. Work out the cost of 1.5 kg of the same cheese.
(a)£15
(b)£57.60
(c)£22.50
(d)£54
5.The width, the length and the height of a box are in the ratio 3:4:5. The length of the box is 16 cm. Work out the height of the box.
(a)20 cm
(b)80 cm
(c)4 cm
(d)12 cm
6.In a recipe the mass of chocolate to the mass of milk is in the ratio 1:4. Amelia uses 200 g of milk. Work out the mass of chocolate she needs.
(a)800 g
(b)250 g
(c)40 g
(d)50 g
7.At a youth club the ratio of juniors to seniors is 3:5. There are 40 members altogether. Work out how many seniors there are.
(a)24
(b)15
(c)5
(d)25
8.A rectangular garden has its length and width in the ratio 5:3. Given that the perimeter of the garden is 64 m, work out the width of the garden.
(a)8 m
(b)24 m
(c)12 m
(d)20 m
9.In a school choir the ratio of boys to girls is 3:4. When 6 more boys join the choir, the ratio of boys to girls becomes 1:1. Work out how many girls are in the choir.
(a)18
(b)24
(c)42
(d)30
10.Divide 84 in the ratio 3:4. Work out the smaller share.
(a)42
(b)48
(c)36
(d)28
11.A ribbon of length 90 cm is cut into two pieces in the ratio 4:5. Work out the length of the shorter piece.
(a)50 cm
(b)10 cm
(c)40 cm
(d)45 cm
12.The angles of a triangle are in the ratio 2:3:4. Work out the size of the smallest angle.
(a)80°
(b)60°
(c)40°
(d)20°
13.Isla and her brother share £60 in the ratio 1:2. Work out Isla's share.
(a)£40
(b)£20
(c)£120
(d)£30
14.A charity collects donations from adults and children in the ratio 5:2. Altogether, £238 is collected. Work out how much more the adults donate than the children.
(a)£102
(b)£68
(c)£136
(d)£170
15.The ratio of Josh's savings to Mia's savings is 4:7. Mia has £39 more than Josh. Work out Josh's savings.
(a)£39
(b)£52
(c)£91
(d)£13

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