Ratio and Proportion Worksheet — KS3 — Beginner
Ratio and Proportion worksheet for Key Stage 3 / Year 7-9 (Ages 11-14). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Understanding Ratios and Proportions
Key Stage 3 / Beginner Level
Instructions: This worksheet will guide you through the basics of ratios and proportions. You will explore different scenarios and solve problems to strengthen your understanding of these concepts.
Understanding Ratios
For each scenario, write the ratio in its simplest form. Use the [BOX] to write your answer.
1. There are 8 apples and 4 oranges. What is the ratio of apples to oranges?
2. A class has 12 boys and 18 girls. What is the ratio of boys to girls?
3. In a garden, there are 15 roses and 5 tulips. What is the ratio of roses to tulips?
Equivalent Ratios
Find the missing number to make the ratios equivalent. Write your answer in the [BOX].
1. 3:4 = 9:
2. 5:10 = :20
3. 8:12 = :18
Proportions in Real Life
Solve each problem by setting up a proportion. Write your answer in the [BOX].
1. If 5 pencils cost £2, how much do 15 pencils cost?
2. A car travels 60 miles in 1 hour. How far will it travel in 3 hours?
3. A recipe requires 2 cups of flour for 8 cookies. How many cups are needed for 24 cookies?
Solving Ratio Problems
Use your knowledge of ratios to solve these problems. Write your answers in the [BOX].
1. In a bag of marbles, the ratio of red to blue marbles is 3:5. If there are 15 red marbles, how many blue marbles are there?
2. The ratio of cats to dogs in a shelter is 2:3. If there are 12 cats, how many dogs are there?
Using Proportions to Solve Problems
Set up a proportion to solve each problem. Write your answer in the [BOX].
1. A map scale shows 1 cm represents 5 km. How many kilometres are represented by 7 cm?
2. If 4 books cost £12, how much do 10 books cost?
Ratio Word Problems
Read each word problem carefully and solve for the answer. Write your answer in the [BOX].
1. The ratio of sugar to flour in a recipe is 1:4. If there are 8 cups of flour, how much sugar is needed?
2. A school has a ratio of 3 teachers to 50 students. How many teachers are needed for 200 students?
Graphing Ratios
Use the table to graph the ratios on a coordinate plane. Answer the questions below.
| Item | Quantity A | Quantity B |
| Apples | 4 | 8 |
| Oranges | 6 | 12 |
| Bananas | 5 | 10 |
1. Plot the points on a graph where Quantity A is the x-coordinate and Quantity B is the y-coordinate. Which item has the same ratio as apples?
Proportional Reasoning
Determine if the following pairs are proportional. Write 'Yes' or 'No' in the [BOX].
1. 6:9 and 2:3
2. 10:15 and 4:6
3. 7:14 and 3:6
Activity 1: 2:1 ; 2:3 ; 3:1
Activity 2: 12 ; 10 ; 12
Activity 3: £6 ; 180 miles ; 6 cups
Activity 4: 25 ; 18
Activity 5: 35 km ; £30
Activity 6: 2 cups ; 12
Activity 7: Oranges
Activity 8: Yes ; Yes ; No
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