Proportion and Ratios Worksheet
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Proportion and Ratios Worksheet
📚 Part 1: Ratios and Equivalent Relationships
A ratio compares two quantities. For example, a ratio of 2:3 means 2 parts of one quantity for every 3 parts of another.
A proportion is a statement that two ratios are equal. Equivalent ratios describe the same proportional relationship.
Worked example: Are 3:5 and 12:20 equivalent? Multiply both parts of 3:5 by 4: 3 × 4 = 12 and 5 × 4 = 20. Therefore, 3:5 = 12:20.
✏️ Part 2: Proportional Reasoning
Red: 2 4 6 10
Blue: 3 ______ ______ ______
✅ Answer Key
1. 8:14, 12:21, and 20:28 are equivalent to 4:7. The intended simplest matching answer is 8:14.
2. 24
3. 3:4
4. 12:18 = 2:3
5. Blue counters: 6, 9, 15
6. $21
7. 600 g
8. 35 km
9. 20 cm
10. 12 junior members
11. The total number of parts is 9. Each part is $84 ÷ 9 = $9. The shares are $18, $27, and $36.
12. Each ratio simplifies to 2:3. For example, 8:12 ÷ 4 = 2:3, so the ratios are equivalent.
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