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Introduction to Ratios Worksheet

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Introduction to Ratios Worksheet worksheet preview

Introduction to Ratios Worksheet

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📚 Part 1: Multiple Choice (Levels 1–2)

1. Level 1: Which shows "three to five" correctly?

3/5

3:5

5:3

35

2. Level 1: Which ratio is equivalent to 4:6?

2:3

8:12

1:4

6:4

3. Level 2: If the ratio of cats to dogs is 2:3 and there are 10 dogs, how many cats?

4

6

5

15

4. Level 2: Which of these ratios is already in simplest form?

6:8

10:20

7:9

12:18

✏️ Part 2: Short Answers (Levels 2–3)

5. Level 2: Simplify this ratio: 12:18
6. Level 3: A recipe uses flour : sugar = 2 : 5. If you use 4 cups of flour, how many cups of sugar do you need?
7. Level 3: For the ratio 3:4, what fraction of the whole does the first part represent? (Give your answer as a fraction.)
8. Level 4: The ratio of girls to boys at a school is 5:6. If there are 242 students in total, how many girls are there?

🔗 Part 3: Matching & Application (Levels 3–4)

9. Level 3: Match each ratio (left) with its simplest form (right). Draw lines between matching items.
A. 10:4
B. 9:12
C. 14:7
D. 6:15
1. 3:4
2. 2:1
3. 5:2
4. 2:5
10. Level 4: On a map 1 cm represents 5 km. If two towns are 9 cm apart on the map, how far apart are they in kilometres?

✅ Answer Key

1. Correct answer: 3:5. This is the standard way to express a ratio.
2. Correct answers: 2:3 and 8:12. Both are equivalent to 4:6.
3. Correct answer: 6. If there are 10 dogs, then (2/3) * 10 = 6 cats.
4. Correct answer: 7:9. This ratio is already in simplest form.
5. Correct answer: 2:3. Divide both numbers by 6.
6. Correct answer: 10 cups of sugar. (4 cups flour) * (5 cups sugar / 2 cups flour) = 10 cups sugar.
7. Correct answer: 3/7. The first part (3) represents 3 out of a total of 7 parts.
8. Correct answer: 110 girls. (5/11) * 242 = 110 girls.
9. A-2, B-1, C-3, D-4. Match each ratio with its simplest form.
10. Correct answer: 45 km. (9 cm) * (5 km/cm) = 45 km.

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