Exercise 1

1 A sum of £120 is divided in the ratio 3:4:5. What is the largest share?

2 Find the largest share when £192.50 is divided in the ratio 2:5.

3 Find the smallest share when 260g is divided in the ratio 4:2:7

4 At an election 7800 people voted Labour, Conservative or Alliance in the ratio 4:3:5. How many people voted Alliance?

5 Find the largest share when £1 is divided in the ratio 5:6:9.

6 £109.80 is divided between James and his twin sisters in the ratio 5:2:2. How much does each twin receive?

1 Divide $45 in the ratio 2:4:3:1.

2 Divide £330 in the ratio 3:2:5:5.

3 Share 4200 kg in the ratio 2:5:1:6.

4 Find the largest share when 480 g is divided in the ratio 1:3:4:7.

5 Find the smallest share when £91 is divided in the ratio 5:2:6:7.

6 £80 is divided between Sally and Jane in the ratio 2:3. How much more does Jane get than Sally?

7 $388.50 is divided between Charles and Jack in the ratio 2:3. How much more does Jack get than Charles?

8 Share £96 so that A has twice as much as B.

9 Share £120 so that A has one third as much as B,

10 Share £84 so that A has twice has much as B, who has twice as much as C.

11 Share £600 so that A has twice as much as B, who has three times as much as C.

12 Share £252 so that A has half as much as B, who has four times as much as C,

13 Share £350 so that A has half as much as C, who has half as much as B.

(Make it clear how much each person receives).

14 Share £168 so that A has twice as much as C who has twice as much as B.

15 Share £54 so that B has three times as much as C, who has twice as much as A.

1 In a room, the ratio of boys to girls is 3:2. If there are 12 boys, how many girls are there?

2 In a room, the ratio of men to women is 4:1. If there are 20 men, how many women are there?

3 In a box, the ratio of nails to screws is 5:3. If there are 15 nails, how many screws are there?

4 A sum of money is divided in the ratio 4:5. If the smaller amount is £80, find the larger amount.

5 A sum of money is divided in the ratio 7:3. If the smaller amount is £18, find the larger amount.

6 An alloy consists of copper, zinc and tin in the ratios 1:3:4. If there is 10 g of copper in the alloy, find the weights of zinc and tin.

7 In a shop the ratio of plums to apples is 2:5. If there are 60 apples, how many plums are there?

8 In a train the ratio of adults to children is 7:2. If there are 126 adults, how many children are there?

9 In a bag, the ratio of red beads to white beads to green beads is 7:2:1. If there are 56 red beads, how many white beads are there and how many green beads?

10 On a farm, the ratio of cows to horses to sheep is 8:1:3. If there are 48 sheep, how many horses are there and how many cows?

1 To make pink paint you need 3 tins of red and 2 tins of white. How many tins of each do you need to make (a) 20 (b) 35 (c) 40 (d) 55 (e) 12.5 litres of pink?

2 To make purple paint you need 3 tins of red and 7 tins of blue. How many tins of each do you need to make (a) 30 (b) 50 (c) 45 (d) 75 (e) 5 litres of purple?

3 To make orange you need 13 tins of yellow and 7 tins of red. How many tins of each do you need to make (a) 40 (b) 100 (c) 70 (d) 30 (e) 10 (f) 5 litres of orange?

4 Albert collects different colour badges. He has 5 white, 30 red, 25 blue and 45 yellow badges. Write these numbers as a ratio and simplify as far as possible.

5 Sarah collects coins from different countries, she has 12 French, 30 German and 48 Swiss coins. Write these numbers as a ratio and simplify as far as possible.

6 In Rob's class there are 12 boys and 18 girls. What is the ratio of boys to girls?

7 On a shelf there are 24 red books and 32 green books. What is the ratio of
         (a) red books to green books (b) green books to red books?