1. Ratio Example Simplify each of the following ratios (i) 4 : 28
(ii) 18 : 27
(iii) £3 : £1.80
(iv) 300m : 5.1km
(v) 1250 cm3 : 3 litres

2. Example
The amounts contained in two pay packets are in the ratio 10 : 13. If the larger contains £91, how much was in the smaller one?

3. Example
400g of sweets are divided between 3 children in the ratio 2 : 3 : 3. How much does each receive?

4. Example
The cost of the bills in Bill’s house are usually split in the ratio electricity to gas to water is 4 : 5 : 1. At the end of one quarter if the total bill comes to £650 how much is spent on each bill?

5. (a) the amount given to the largest share.
Example
A sum of money is divided in the ratio 3 : 4 and the smallest share is equivalent to £27. What is
(a) the amount given to the largest share.
(b) the total amount of money shared?

6. Example
Two lines have lengths in the ratio 5 : 2. If the longer line is 15 cm long, find the length of the other line.

7. Example
Three people stake £10 on the national lottery and win £850. Peter paid £2, John paid £4.50 and Claire paid the rest towards the stake. The winnings are shared in the ratio of the contributions. How much does Claire receive?