Mixed Ratio and Proportion
Simplify 7:21
1:3
Share 800 in the ratio 9:7.
9 + 7 = 16
800 ÷ 16 = 50
450:350
Eight bananas cost 19.2krs. Calculate the cost of three bananas.
19.2kr ÷ 8 = 2.4kr
2.4 × 3 = 7.2kr
A shop sells thirty different flavours of ice cream and five different sauces. Write the ratio of ice cream flavours to sauces, giving your answer in its simplest form.
30:5 = 6:1
The ratio of highlighters to felt tips in Abi’s pencil case is 1:6. The ratio of felt tips to pencils is 3:2. Given that she has ten more felt tips than pencils, how many highlighters does she have?
3 – 2 = 1
10 ÷ 1 = 10
Felt tips = 10 × 3 = 30
Highlighters = 30 ÷ 6 = 5
Three pears cost 13.5kr. Calculate the cost of eight pears.
13.5 ÷ 3 = 4.5kr each
4.5 × 8 = 36klr
Share 40 in the ratio 1:3:6.
1 + 3 + 6 = 10
40 ÷ 10 = 4
4:12:24
Three friends pay 62kr each for a taxi ride. If four friends shared the cost of a taxi for the same journey, how much would each friend pay?
62 × 3 = 186
186 ÷ 4 = 46.5 kr
Find the odd one out:
7:5, 21:15, 10:14, 49:35
10:14
In a drama club, 75% of the members are 18 and under. Out of the people over 18, the ratio of dancers to singers is 3:2. What percentage of the drama club are singers over 18?
100 – 75 = 25
25 ÷ 5 = 5
5 × 2 = 10%
It takes five builders take four days to fit a new kitchen. How many days would it take two
builders to fit the same kitchen?
5 × 4 = 20 days
20 ÷ 2 = 10 days
Share 1kg in the ratio 4:6.
4 + 6 = 10
1 ÷ 10 = 0.1kg or 100g
0.4kg:0.6kg or 400g:600g
There are 14mg of cholesterol in 100ml of milk. Calculate the amount cholesterol in 1.5 litres of milk.
14 ÷ 100 = 0.14mg
0.14 × 1500 = 210mg
Mo and Jamil share some money in the ratio 3:5. If Jamil receives £25, how much does Mo receive?
25 ÷ 5 = £5
5 × 3 = £15
In a zoo, the ratio of elephants to penguins is 1:8. The ratio of penguins to tigers is 6:1. What is the ratio of elephants to tigers? Give your answer in its simplest form.
8 × 6 = 48
The ratio of elephants to penguins to tigers is 6:48:8.
Ratio of elephants to tigers = 6:8 = 3:4
Share 700 in the ratio 3:7.
3 + 7 = 10
700 ÷ 10 = 70
210:490
Jolene makes a pattern out of beads. She uses only red and silver beads in the ratio 5:1. How many red beads will she need for a pattern with 30 beads in it?
5 + 1 = 6
30 ÷ 6 = 5 beads
5 × 5 = 25 red beads
If five builders take two days to replace a roof, how many days would it take two builders to replace the same roof?
5 × 2 = 10 days
10 ÷ 2 = 5 days
Joe and Suzy share some money in the ratio 2:5. If Suzy gets £30 more than Joe, how much does Joe receive?
5 – 2 = 3
30 ÷ 3 = £10
10 × 2 = £20
Callie has three types of biscuits for a coffee morning. She has digestives, custard creams and shortbreads in the ratio 2:5:3. The digestives are either chocolate or plain. The ratio of chocolate digestives to plain digestives is 3:2. Callie has 18 chocolate digestives. Calculate the total number of biscuits.
18 ÷ 3 = 6
Digestives = 6 × 5 = 30
30 ÷ 2 = 15 2 + 5 + 3 = 10
Total number of biscuits = 15 × 10 = 150
Five miles is approximately equal to eight kilometres. Calculate the approximate number of miles in 950 kilometres. Give your answer to the nearest mile.
5 ÷ 8 = 0.625 miles
0.625 × 950 = 593.75
594 miles (to the nearest mile)
James makes pastry. He uses flour to butter in the ratio 2:1. The total mass of these ingredients is 600g. What quantities of flour and butter did he use?
2 + 1 = 3
600 ÷ 3 = 200g
Flour = 2 × 200 = 400g
Butter = 1 × 200 = 200g
When Sal went on holiday, she received eleven euros for every ten pounds she exchanged.
If she exchanged £500, how many euros did she receive?
11 ÷ 10 = €1.1
1.1 × 500 = €550
Max and Marlene share some money in the ratio 3:7. If Max receives £500 less than Marlene, how much money did they share?
7 – 3 = 4
500 ÷ 4 = £125
3 + 7 = 10
125 × 10 = £1250
This WILL NOT BE ON THE ASSESSMENT OR ASSESSED: THIS IS A CHALLENGE ONLLY
The ages of Amit, Brenda and Carleigh are in the ratio 11:7:10. In six years’ time, their ages will be in the ratio 14:10:13. Calculate their ages in five years’ time.
Common difference = 3
6 ÷ 3 = 2
Amit = (2 × 14) – 1 = 27 years old
Brenda = (2 × 10) – 1 = 19 years old
Carleigh = (2 × 13) – 1 = 25 years old