📊 Part 1: Understanding Ratios

1. A school garden has flowers and vegetables in the ratio 3:5. If there are 40 plants total, how many are flowers?

12 plants

15 plants

18 plants

20 plants

2. Which of these ratios are equivalent to 4:6? (Check all that apply)

2:3

8:12

12:18

6:8

3. Express the ratio 5:8 as a fraction in simplest form.

Answer: _________

4. A recipe calls for flour and sugar in the ratio 7:3. If you use 21 cups of flour, how much sugar do you need?

⚖️ Part 2: Proportional Sharing

5. Three friends share $240 in the ratio 2:3:7. How much does each person receive?

Person 1 (2 parts): $_______ Person 2 (3 parts): $_______ Person 3 (7 parts): $_______

6. A church wants to distribute aid supplies to three communities in the ratio of their populations: 4:5:6. If they have 450 food packages, how many should each community receive?

7. The ratio of boys to girls in a Year 11 class is 3:4. If there are 12 boys, how many girls are there?

9 girls

16 girls

18 girls

21 girls

🎯 Part 3: Real-World Applications

8. A map has a scale of 1:50,000. If two cities are 8 centimetres apart on the map, what is the actual distance between them in kilometres?

Actual distance: _______ kilometres

9. Orange cordial is mixed with water in the ratio 1:4. How much water is needed to make 750ml of cordial drink?

10. Explain how the concept of fair sharing (proportional reasoning) reflects Christian values of stewardship and justice. Give one real-world example.