Year 10 Ratios Worksheet

Name:

Date:

📚 Part 1: Understanding Ratios

1. What is a ratio? Write your definition below:

2. Which of the following represents the ratio 3:5 correctly?

3 + 5

3 ÷ 5

3 out of every 8 parts

5 - 3

3. Simplify these ratios to their lowest terms:

a) 12:8 = _____:_____

b) 15:25 = _____:_____

c) 18:24:30 = _____:_____:_____

4. Find two equivalent ratios for 4:7

Ratio 1: _____:_____

Ratio 2: _____:_____

✏️ Part 2: Problem Solving

5. A recipe calls for flour and sugar in the ratio 3:2. If you use 150g of flour, how much sugar do you need?

Answer: _______ grams of sugar

6. In a school, the ratio of boys to girls is 5:4. If there are 360 students in total, how many boys and girls are there?

Boys: _______ students

Girls: _______ students

7. Sarah and Tom share $270 in the ratio 4:5. How much money does each person receive?

Sarah receives: $______

Tom receives: $______

🎯 Part 3: Challenge Problems

8. A paint mixture uses red, blue, and yellow paint in the ratio 2:3:1. If you need 480ml of paint mixture in total, how much of each colour do you need?

Red paint: _______ ml

Blue paint: _______ ml

Yellow paint: _______ ml

9. The angles in a triangle are in the ratio 2:3:4. Find the size of each angle. (Remember: angles in a triangle sum to 180°)

Smallest angle: _______°

Middle angle: _______°

Largest angle: _______°

Year 10 Ratios Worksheet

Year 10 Ratios Worksheet

📚 Part 1: Understanding Ratios

✏️ Part 2: Problem Solving

🎯 Part 3: Challenge Problems

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