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Ratio Practice Worksheet

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Ratio Practice Worksheet

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📚 Part 1: Multiple Choice

1. Simplify the ratio 12 : 20.

A) 6 : 10

B) 3 : 5

C) 2 : 3

D) 4 : 5

2. Which ratio is equivalent to 2 : 3?

A) 4 : 6

B) 6 : 5

C) 3 : 4

D) 1 : 2

3. On a map 1 inch represents 5 miles. A route is 3.5 inches long on the map. How many miles is the route?

A) 15 miles

B) 17.5 miles

C) 7.5 miles

D) 12.5 miles

4. Lemonade recipe calls for lemon : water = 1 : 4. If you use 5 cups lemon, how many cups water do you need?

A) 10 cups

B) 20 cups

C) 25 cups

D) 4 cups

✏️ Part 2: Short Answers

5. Find the missing value: 3 : 5 = ___ : 40
6. A classroom has a ratio of boys to girls of 7 : 5. If there are 36 students total, how many boys are there? Show your work.
7. A pancake recipe uses 2 cups flour : 1 cup milk. You want to make 5 times the recipe. How many cups of milk do you need?
8. Paint mix ratio blue : green = 4 : 3. If you use 28 ounces of blue, how many ounces of green are needed? Show your work.

🧠 Part 3: Additional Ratio Practice

9. Simplify the ratio 18 : 30. Show the greatest common factor you use.
10. Write a ratio equivalent to 5 : 8 by multiplying both terms by 3.
11. Complete the ratio table. The ratio of apples to oranges is 2 : 7.
Apples 2 4 6 8
Oranges 7 14 21 _____
12. Complete the ratio table. The ratio of red beads to blue beads is 3 : 5.
Red beads 3 6 9 15
Blue beads 5 10 15 _____
13. Solve the proportion: 4 : 7 = x : 35. Show your work.
14. Solve the proportion: 9 : 12 = 15 : x. Show your work.
15. A school bus has a ratio of students wearing sneakers to students wearing boots of 3 : 2. If there are 25 students on the bus, how many are wearing sneakers and how many are wearing boots?
16. A recipe uses flour and sugar in a ratio of 5 : 2. If a baker uses 15 cups of flour, how many cups of sugar are needed?
17. A map uses a scale of 1 inch : 4.5 miles. Two towns are 8 inches apart on the map. What is the actual distance between the towns?
18. The ratio of adult tickets to child tickets sold at a museum is 2 : 3. If 40 tickets were sold altogether, how many adult tickets and how many child tickets were sold?
19. Simplify the ratio 45 : 60. Write the simplified ratio in lowest terms.
20. Find the missing value: 7 : 9 = 21 : x

Ratios with Fractions

21. Simplify the ratio 3/4 : 9/8. Write your answer using whole-number terms.
22. Simplify the ratio 5/6 : 10/9 in lowest terms.
23. Write an equivalent ratio with whole-number terms for 2/3 : 5/6. Explain what number you multiply both terms by.
24. Which ratio is greater: 3/5 : 7/10 or 2/3 : 1? Show how you compared the two ratios.
25. Find the missing value: 4/9 : 2/3 = x : 5/6.
26. Solve the proportion: 5/6 : 1/4 = x : 3/8. Show your work.
27. Order these ratios from least to greatest. Show the value of each ratio to help you compare: 1/2 : 3/4, 3/4 : 1/2, and 2/5 : 4/5.
28. A pancake recipe uses flour and sugar in the ratio 3/4 cup flour : 1/2 cup sugar. If you use 6 cups of flour, how many cups of sugar are needed?
29. A map scale is 2/3 inch : 5/6 mile. Two towns are 4 inches apart on the map. What is the actual distance between them?
30. Determine whether the ratios are equivalent. Explain your reasoning: 5/8 : 3/4 and 10/16 : 9/8.

🔑 Answer Key

1. 3 : 5

2. 4 : 6 (equivalent to 2 : 3)

3. 17.5 miles

4. 20 cups

5. 24 (3 : 5 = 24 : 40 → scale factor 8 → 3 × 8 = 24)

6. 21 boys (Total parts = 7 + 5 = 12; 36 ÷ 12 = 3 per part; boys = 7 × 3 = 21)

7. 5 cups milk (1 cup milk × 5 = 5 cups)

8. 21 ounces green (4 : 3 = 28 : x → scale factor 7 → 3 × 7 = 21)

9. 3 : 5 (Divide both terms by 6.)

10. 15 : 24 (Multiply both terms by 3.)

11. 28 oranges (The ratio is multiplied by 4: 2 × 4 = 8 and 7 × 4 = 28.)

12. 25 blue beads (The ratio is multiplied by 5: 3 × 5 = 15 and 5 × 5 = 25.)

13. x = 20 (4 : 7 = 20 : 35; scale factor 5)

14. x = 20 (9 : 12 = 15 : 20; cross-products: 9x = 180)

15. 15 students wearing sneakers and 10 students wearing boots (Total parts = 5; 25 ÷ 5 = 5 per part.)

16. 6 cups sugar (5 : 2 = 15 : 6; scale factor 3)

17. 36 miles (8 × 4.5 = 36)

18. 16 adult tickets and 24 child tickets (Total parts = 5; 40 ÷ 5 = 8 per part.)

19. 3 : 4 (Divide both terms by 15.)

20. x = 27 (7 : 9 = 21 : 27; scale factor 3)

21. 2 : 3 (Multiply both terms by 8: 6 : 9, then divide by 3.)

22. 3 : 4 (Divide the ratio by 5/6, or simplify using a common denominator.)

23. 4 : 5 (Multiply both terms by 6.)

24. 3/5 : 7/10 is greater: its value is 6/7, while the second ratio has value 2/3.

25. x = 5/9.

26. x = 5/4.

27. Least to greatest: 2/5 : 4/5 (value 1/2), 1/2 : 3/4 (value 2/3), 3/4 : 1/2 (value 3/2).

28. 4 cups of sugar.

29. 5 miles.

30. Yes. Both ratios simplify to 5/6.

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