Introduction to Ratios Worksheet

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📚 Part 1: Multiple Choice (Level 1–2: Understanding Ratios)

Instructions: Circle the best answer for each question.

1. A bag contains 3 red marbles and 5 blue marbles. What is the ratio of red to blue marbles?

5 : 3

3 : 5

3 : 8

8 : 3

2. Which of the following ratios is equivalent to 2 : 4?

1 : 4

4 : 6

1 : 2

3 : 4

3. A recipe uses 2 cups of flour for every 1 cup of sugar. If you use 6 cups of flour, how many cups of sugar do you need?

2 cups

4 cups

3 cups

6 cups

4. Which of the following correctly simplifies the ratio 12 : 16?

6 : 8

4 : 3

3 : 4

2 : 3

5. Select ALL ratios that are equivalent to 3 : 6:

1 : 2

6 : 12

2 : 3

9 : 18

6. If a car travels 60 miles in 1 hour, what is the ratio of miles to hours?

60 : 1

1 : 60

30 : 1

1 : 30

7. A class has 15 boys and 10 girls. What is the ratio of girls to boys?

3 : 2

2 : 3

1 : 1.5

1 : 2

8. Which of the following ratios is equivalent to 5 : 15?

1 : 3

2 : 5

3 : 5

5 : 10

9. A fruit basket contains 4 apples and 6 oranges. What is the ratio of apples to total fruits?

2 : 5

4 : 10

4 : 6

1 : 2

10. A recipe calls for 3 cups of water for every 2 cups of rice. If you use 9 cups of water, how many cups of rice do you need?

3 cups

4 cups

5 cups

6 cups

🔗 Part 2: Matching (Level 2–3: Simplifying Ratios)

Instructions: Match each ratio on the left to its simplified form on the right.

A. 10 : 15

B. 8 : 12

C. 6 : 9

D. 20 : 25

E. 14 : 28

F. 9 : 27

1. 2 : 3

2. 2 : 3

3. 2 : 3

4. 4 : 5

5. 1 : 2

6. 1 : 3

11. Looking at the matching activity above, what do you notice about the simplified forms? Write one sentence below.

✏️ Part 3: Short Answer & Application (Level 3–4: Real-Life Ratios)

Instructions: Show your work clearly. Include units where needed.

12. A sports club has 14 boys and 10 girls. Write the ratio of boys to girls in simplest form. Show your working.

13. A map uses a scale of 1 cm : 5 km. If two cities are 8 cm apart on the map, how many kilometres apart are they in real life?

14. (Level 4 – Challenge) A juice drink is made using orange juice and water in the ratio 2 : 3. Mia wants to make 500 mL of the drink. How many millilitres of orange juice and how many millilitres of water does she need? Show all steps.

15. In your own words, explain the difference between a ratio and a fraction. Give one example of each.

16. A recipe requires 4 cups of flour for every 3 cups of sugar. If you want to make a batch using 12 cups of flour, how much sugar will you need?

17. If a class has 20 students and 12 are girls, what is the ratio of boys to girls?

18. A gardener has 18 red flowers and 6 yellow flowers. What is the ratio of red flowers to total flowers?

19. A recipe calls for 5 parts of flour to 2 parts of sugar. If you have 15 parts of flour, how much sugar do you need?

20. If a car travels 120 miles in 2 hours, what is the ratio of miles to hours? Simplify your answer.

🌟 Answer Key (For Teacher Use)

Part 1: Multiple Choice

1. ✅ 3 : 5 — Red marbles to blue marbles is 3 to 5.

2. ✅ 1 : 2 — Divide both parts of 2 : 4 by 2 to get 1 : 2.

3. ✅ 3 cups — The ratio is 2 : 1, so 6 cups of flour requires 6 ÷ 2 = 3 cups of sugar.

4. ✅ 3 : 4 — Divide both 12 and 16 by their GCF (4): 12 ÷ 4 = 3, 16 ÷ 4 = 4.

5. ✅ 1 : 2, 6 : 12, 9 : 18 — All three simplify to 1 : 2. (2 : 3 does not.)

6. ✅ 60 : 1 — The ratio of miles to hours is 60 to 1.

7. ✅ 2 : 3 — The ratio of girls to boys is 2 to 3.

8. ✅ 1 : 3 — 5 : 15 simplifies to 1 : 3.

9. ✅ 2 : 5 — The ratio of apples to total fruits is 2 to 5.

10. ✅ 6 cups — 9 cups of water requires 6 cups of rice.

Part 2: Matching

A → 2 : 3 (10 ÷ 5 = 2, 15 ÷ 5 = 3)

B → 2 : 3 (8 ÷ 4 = 2, 12 ÷ 4 = 3)

C → 2 : 3 (6 ÷ 3 = 2, 9 ÷ 3 = 3)

D → 4 : 5 (20 ÷ 5 = 4, 25 ÷ 5 = 5)

E → 1 : 2 (14 ÷ 14 = 1, 28 ÷ 14 = 2)

F → 1 : 3 (9 ÷ 9 = 1, 27 ÷ 9 = 3)

Q11: Accept answers noting that A, B, C, and E all simplify to the same ratio (2 : 3), showing that many different ratios can be equivalent.

Part 3: Short Answer

12. 14 : 10 → divide by 2 → 7 : 5

13. 8 cm × 5 km = 40 km

14. Total parts = 2 + 3 = 5 parts. Each part = 500 ÷ 5 = 100 mL. Orange juice = 2 × 100 = 200 mL. Water = 3 × 100 = 300 mL.

15. Sample answer: A ratio compares two quantities, e.g., 3 : 4 (3 apples for every 4 oranges). A fraction shows part of a whole, e.g., ¾ means 3 out of 4 equal parts. Ratios can compare any two amounts; fractions always relate a part to a whole.

16. 12 cups of flour requires 9 cups of sugar.

17. 20 - 12 = 8 boys → Ratio is 8 : 12 or simplified to 2 : 3.

18. Total flowers = 18 + 6 = 24 → Ratio is 18 : 24 or simplified to 3 : 4.

19. 15 parts of flour requires 6 parts of sugar.

20. 120 miles in 2 hours simplifies to 60 : 1.