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Ratios and Proportions

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Ratios and Proportions worksheet preview

Ratios and Proportions

Ratios and proportions illustration

📚 Part 1: Understanding Ratios

1. A packet contains 12 red lollies and 8 green lollies. What is the ratio of red to green lollies?

12:8

3:2

8:12

Both a and b are correct

2. If the ratio of boys to girls in a class is 5:4, and there are 20 boys, how many girls are there?

16 girls

25 girls

15 girls

12 girls

3. Which of these ratios are equivalent to 6:9? (Select all that apply)

2:3

12:18

18:27

3:4

4. A paint mixture uses red and blue paint in the ratio 7:3. What fraction of the mixture is red paint?

7/3

7/10

3/7

3/10

✏️ Part 2: Problem Solving

5. Sarah is making anzac biscuits. Her recipe calls for oats and flour in the ratio 4:3. If she uses 240g of oats, how much flour does she need?

Answer: _______ grams of flour

6. A school has 450 students. The ratio of Year 9 to Year 10 students is 2:3. How many Year 9 and Year 10 students are there?

Year 9 students: _______

Year 10 students: _______

7. Tom wants to make orange paint by mixing red and yellow paint in the ratio 5:2. He has 350ml of red paint. How much yellow paint does he need, and what will be the total volume of orange paint?

Yellow paint needed: _______ ml

Total orange paint: _______ ml

🎯 Part 3: Real-World Applications

8. A map has a scale where 2 cm represents 5 kilometres. If two cities are 14 cm apart on the map, what is the actual distance between them?

Actual distance: _______ kilometres

9. At a café, the ratio of coffee sales to tea sales is 8:3. If they sold 96 cups of coffee yesterday, how many cups of tea did they sell?
10. Explain in your own words how you can tell if two ratios are equivalent. Give an example to support your explanation.

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