Understanding Ratios Worksheet

Name:

Date:

📚 Part 1: Multiple Choice

WALT: We are learning to express ratios and simplify them.

Success criteria: I can write ratios using ":" notation and simplify both parts by the same factor.

1. A class has 12 boys and 8 girls. What is the ratio of boys to girls in simplest form?

12:8

3:2

2:3

6:4

2. A paint mix is 9 parts red to 6 parts blue. Which is the simplest form of red:blue?

9:6

3:2

6:9

1:2

3. A recipe uses 4 cups flour : 6 cups sugar. Which choice shows flour : sugar in simplest form?

2:3

4:6

3:2

1:1

4. Which ratio correctly compares 1.5 km to 3 km?

1500:3000

1:2

2:1

both A and B

✏️ Part 2: Short Answers

Differentiation: Use counters or draw diagrams if you need a visual model. Extension: try larger numbers or multi-part ratios.

5. Express 14:21 in simplest form. Show how you simplified it.

6. A sports club has 10 forwards, 5 defenders and 5 substitutes. Write the ratio forwards : defenders : substitutes in simplest form.

7. The ratio of blue balls to green balls is 5:2. If there are 35 blue balls, how many green balls are there?

8. A paint mix calls for red:yellow = 3:1. You need 8 litres of mix in total. How many litres of red and how many litres of yellow will you use? Show your working.

🔬 Part 3: Extension & Real-world Tasks

9. Create a real-life ratio from your day (for example, number of cars to bicycles you see on the way to school). Write the ratio and simplify it.

10. Challenge (extension): A pancake recipe makes 8 pancakes using 2 cups flour : 1 cup milk. How much flour and milk are needed to make 20 pancakes? Show your method.