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GCSE Ratio Practice
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GCSE Ratio Practice
Show your working for calculation questions. Give ratios in their simplest form unless the question asks otherwise.
Ratio basics
1.A box contains 7 green counters and 4 yellow counters. Write the ratio of green counters to yellow counters.
2.Simplify the ratio 14:21.
- 2:3
- 3:2
- 7:10
- 14:21
3.A drink is mixed using 3 parts cordial for every 8 parts water. State the ratio of cordial to water.
4.Write 35:49 in its simplest form.
5.A club has 18 adult members and 30 junior members. What is the ratio of adults to juniors in its simplest form?
- 3:5
- 5:3
- 18:30
- 2:3
6.Share £42 between two people in the ratio 2:5. How much does each person receive?
7.Select every ratio equivalent to 3:4.
- 6:8
- 9:12
- 12:15
- 15:20
8.Write 75p to £3 as a ratio in its simplest form. Convert both amounts to the same unit first.
9.The ratio of black beads to white beads in a jar is 4:9. There are 28 black beads. How many white beads are there?
10.Simplify the three-part ratio 24:36:60.
Ratio problem solving
11.The angles in a triangle are in the ratio 3:4:5. Find the size of each angle.
12.Two numbers are in the ratio 4:7 and add up to 99. Find both numbers.
13.On a scale drawing, 1 cm represents 25,000 cm in real life. A path measures 8 cm on the drawing. What is its real length in kilometres?
- 0.2 km
- 2 km
- 20 km
- 200 km
14.Hollie and Oliver share a sum of money in the ratio 2:7. Oliver receives £35 more than Hollie. How much money is shared altogether?
15.A recipe needs 360 g of oats to make 8 portions. How many grams of oats are needed for 14 portions?
16.The ratio of vans to cars to motorbikes in a depot is 3:5:2. If there are 27 vans, how many vehicles are there altogether?
17.Write 1.8:2.4:0.6 as a ratio of whole numbers in its simplest form.
18.A car uses 18 litres of fuel to travel 150 miles. At the same rate, how many litres will it use to travel 250 miles?
19.Three partners invest money in the ratio 3:4:8. Their total investment is £60,000. How much does each partner invest?
20.In a group, the ratio of boys to girls is 5:7. There are 45 boys. What percentage of the group are girls?
21.Match each ratio to its simplest form.
- 18:30
- 16:40
- 21:28
- 27:45
- 3:5
- 2:5
- 3:4
- 3:5
4 printable pages
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