📚 Part 1: Multiple Choice (Basic skills)

1. Which ratio is equivalent to 2:3?

4:6

3:2

6:5

2. Simplify the ratio 18:12.

3:2

6:4

9:8

3. There are 12 girls and 8 boys in a class. Which gives girls to boys?

12:8

3:2

2:3

4. A recipe uses flour:water = 2:5. If you use 6 cups of flour, how many cups of water do you need?

10 cups

15 cups

12 cups

✏️ Part 2: Short Answers & Applications

5. Simplify 45:30. Show your working.

6. Blue marbles : Red marbles = 3:2. There are 18 blue marbles.

a) How many red marbles are there? _______

7. Match each ratio (left) with an equivalent form (right). Draw lines between matching items.

A. 4:9

B. 2:3

C. 5:2

D. 6:4

1. 3:2

2. 10:4

3. 8:18

4. 5:2

8. A gardener mixes fertiliser:water = 1:20. If they use 3 litres of fertiliser, how much water (litres) is needed?

9. In a local competition the ratio of points scored by Team A to Team B is 5:3. If Team A scored 25 points, how many did Team B score? Show working.

10. In one sentence, explain how you would simplify a ratio.

🌟 Extension & Differentiation

Extension (challenge) 1: A paint mix needs red:blue:yellow = 3:2:1. You have 48 mL of red. How much blue and yellow do you need? Show working.

Extension (challenge) 2: A school bus carries students in the ratio Year9:Year10 = 7:5. If there are 96 students on the bus, how many are Year9 and how many Year10?

Differentiation strategies (for teachers)

- Support: Provide concrete counters or coloured cubes to model ratios; give worked examples and one-to-one prompts for students needing scaffolding.

- Core: Use the questions above with encouragement to show steps and check answers by scaling both parts of a ratio.

- Extend: Ask advanced learners to convert ratios to rates and percentages, or to create real-life ratio problems (e.g., mixing ingredients for different batch sizes).

- Assessment idea: Ask students to explain reasoning verbally or with a diagram to demonstrate understanding and to cater for different learning styles.