MathsFreePrintable

Mastering Ratios Worksheet

A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now

Name:Date:

Mastering Ratios Worksheet

Simplify ratios by dividing every part by the same number. For equivalent ratios, multiply or divide every part by the same number. Show your working for problem-solving questions.

Understand and simplify ratios

1.Which ratio is 18:30 written in its simplest form?

3:5
5:3
6:10
9:15

2.Write 24:36 in simplest form.

3.Simplify each ratio fully: a) 21:35 b) 24:16:8 c) 42:18

4.Select every ratio equivalent to 6:9.

2:3
12:18
18:27
9:6
4:7

5.Fill in each missing number to make an equivalent ratio: a) 4:7 = 20: b) 9:5 = :20 c) 6:11 = 30:

6.Match each ratio to its simplest form.

16:24
15:20
28:12
25:40

Solve ratio problems

7.At a netball tournament, the ratio of players wearing blue bibs to players wearing yellow bibs is 3:5. There are 40 players altogether. How many wear each colour?

8.For a netball training drink, Nathan mixes cordial and water in the ratio 2:7. If he uses 18 litres of cordial, how many litres of water should he add?

9.A court marking plan has a length-to-width ratio of 7:4. If the court is 20 metres wide, what is its length?

10.Mere prepares snack packs for a tournament using crackers and fruit in the ratio 5:3. If she has 600 grams of crackers, how many grams of fruit are needed?

11.At a tournament, the ratio of spectators to players is 9:2. If 360 spectators attend, how many players are there?

12.A team travels 252 kilometres using 21 litres of petrol. Write the distance-to-petrol ratio in simplest form, then explain what the first number in that ratio represents.

13.Georgia says 14:21 and 2:3 are equivalent because both parts of 14:21 can be divided by 7. Is Georgia correct? Give a calculation to support your answer.