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Equivalent Ratios Worksheet
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Equivalent Ratios Worksheet
📊 Part 1: Finding Equivalent Ratios
1. Scale up the ratio 3:5 by multiplying both parts by 4.
3:5 = _______:_______
2. Scale down the ratio 24:36 by dividing both parts by 12.
24:36 = _______:_______
3. Which of these ratios is equivalent to 2:7?
4:14
6:18
8:28
10:30
4. Complete this table of equivalent ratios:
| Red counters | Blue counters |
|---|---|
| 4 | 6 |
| 8 | _____ |
| _____ | 18 |
| 2 | _____ |
🧮 Part 2: Problem Solving
5. A recipe calls for 3 cups of flour to 2 cups of sugar. If I want to make a larger batch using 12 cups of flour, how many cups of sugar do I need?
Answer: _______ cups of sugar
6. In a class, the ratio of boys to girls is 5:7. If there are 35 boys, how many girls are there?
Answer: _______ girls
7. A paint mixture uses red and white paint in the ratio 3:8. Complete the table to show different amounts of this mixture:
| Red paint (litres) | White paint (litres) | Total paint (litres) |
|---|---|---|
| 3 | 8 | 11 |
| 6 | _____ | _____ |
| _____ | 24 | _____ |
💭 Part 3: Explain Your Thinking
8. Explain why 6:9 and 2:3 are equivalent ratios. Use the word "scale" in your explanation.
9. Extension Challenge: Find three different ratios that are equivalent to 4:10. Show your working.
10. True or False: To make equivalent ratios, you can add the same number to both parts of a ratio.
True
False
Explain your answer:
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