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Ratios and Proportions: Practice Questions with Answers

Curriculum: Ratios and ProportionsGrades: 6–8Questions: 12Mode: Practice

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1. A ratio compares two quantities by which mathematical operation?

  1. Subtraction
  2. Addition
  3. Division
  4. Exponentiation
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Answer: C. Division
A ratio compares two quantities using division, showing how many times one value contains or relates to another.

2. A fruit basket has 4 apples and 6 oranges. What is the ratio of apples to oranges?

  1. 4:10
  2. 10:4
  3. 4:6
  4. 6:4
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Answer: C. 4:6
The ratio of apples to oranges is written in that order, apples first: 4 apples to 6 oranges, or 4:6.

3. What is the ratio 4:6 written in simplest form?

  1. 2:3
  2. 8:12
  3. 4:6
  4. 1:2
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Answer: A. 2:3
Dividing both terms of 4:6 by their greatest common factor, 2, gives the simplified ratio 2:3.

4. Which ratio is equivalent to 3:5?

  1. 6:5
  2. 5:3
  3. 3:10
  4. 6:10
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Answer: D. 6:10
Multiplying both terms of 3:5 by 2 gives 6:10, which is an equivalent ratio because the relationship between the numbers stays the same.

5. The ratio 2:3 can also be written as which fraction?

  1. 3/5
  2. 2/3
  3. 2/5
  4. 3/2
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Answer: B. 2/3
A ratio a:b can be written as the fraction a/b, so 2:3 becomes 2/3.

6. A car travels 120 miles in 2 hours. What is its unit rate in miles per hour?

  1. 240 mph
  2. 60 mph
  3. 2 mph
  4. 120 mph
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Answer: B. 60 mph
A unit rate compares a quantity to one unit of another; dividing 120 miles by 2 hours gives 60 miles per hour.

7. Solve the proportion: 2/3 = x/9

  1. x = 18
  2. x = 6
  3. x = 12
  4. x = 3
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Answer: B. x = 6
Since 3 times 3 equals 9, multiply the numerator by the same factor: 2 times 3 equals 6, so x = 6.

8. On a map, 1 inch represents 10 miles. How many miles does 3 inches represent?

  1. 10 miles
  2. 30 miles
  3. 13 miles
  4. 3 miles
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Answer: B. 30 miles
Since each inch represents 10 miles, 3 inches represents 3 times 10, which is 30 miles.

9. A basket has 5 red balls and 7 blue balls. What is the ratio of red balls to the total number of balls?

  1. 5:7
  2. 5:12
  3. 12:5
  4. 7:12
Show the answer
Answer: B. 5:12
The total number of balls is 5 + 7 = 12, so the part-to-whole ratio of red balls to all balls is 5:12.

10. Which pair of ratios forms a true proportion?

  1. 2:5 and 4:10
  2. 2:5 and 4:9
  3. 2:5 and 3:5
  4. 2:5 and 5:2
Show the answer
Answer: A. 2:5 and 4:10
2:5 and 4:10 form a true proportion because 4 is 2 times 2 and 10 is 5 times 2, so both ratios simplify to the same value.

11. Simplify the ratio 18:24.

  1. 2:3
  2. 6:8
  3. 9:12
  4. 3:4
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Answer: D. 3:4
The greatest common factor of 18 and 24 is 6; dividing both terms by 6 gives 3:4.

12. A recipe uses a ratio of 2 cups flour to 1 cup sugar. If you use 6 cups of flour, how much sugar do you need to keep the same ratio?

  1. 6 cups
  2. 2 cups
  3. 3 cups
  4. 12 cups
Show the answer
Answer: C. 3 cups
Since 6 is 3 times 2, multiply the sugar amount by the same factor: 1 times 3 equals 3 cups of sugar.
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