Ratio And Proportion Quiz With Answers

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Janaisa Harris, BA (Mathematics) |
High School Math Teacher
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Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.
, BA (Mathematics)
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Ratio And Proportion Quiz With Answers - Quiz


Welcome to our ratio and proportion quiz, where you can sharpen your mathematical skills and deepen your understanding of these fundamental concepts! Explore topics such as setting up and solving proportionality problems, calculating unit rates, understanding scaling, and analyzing real-world scenarios involving ratios and proportions.

In this test on ratio and proportion, you'll encounter a series of questions designed to test your comprehension of ratios, proportions, and their applications. By engaging with these questions, you'll develop critical thinking skills and gain confidence in your ability to apply ratios and proportions to solve a wide range of problems.


Ratio And Proportion Questions and Answers

  • 1. 

    Matt sold 35 tickets to the school play and Renee sold 45 tickets. What is the ratio of the number of tickets Matt sold to the number of tickets Renee sold?

    • A.

      9/7

    • B.

      7/16

    • C.

      7/9

    • D.

      16/7

    Correct Answer
    C. 7/9
  • 2. 

    Which ratios are equal to 4 : 32?

    • A.

      2 : 96; 2 : 16

    • B.

      12 : 96; 2 : 16

    • C.

      12 : 96; 12 : 16

    • D.

      2 : 96; 12 : 16

    Correct Answer
    B. 12 : 96; 2 : 16
    Explanation
    The given ratios 12:96 and 2:16 can be simplified by dividing both the numerator and denominator by their greatest common divisor. For the ratio 12:96, the greatest common divisor is 12. Dividing both the numerator and denominator by 12 gives us 1:8. For the ratio 2:16, the greatest common divisor is 2. Dividing both the numerator and denominator by 2 gives us 1:8. Therefore, the ratios 12:96 and 2:16 are equal to 4:32.

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  • 3. 

     Find a ratio equivalent to 25 over 45.

    • A.

      2/4

    • B.

      5/9

    • C.

      5/8

    • D.

      9/5

    Correct Answer
    B. 5/9
    Explanation
    To find a ratio equivalent to 25 over 45, you can simplify the fraction by dividing both the numerator (25) and the denominator (45) by their greatest common divisor (GCD). The GCD of 25 and 45 is 5.

    So, divide both 25 and 45 by 5:

    25 ÷ 5 = 5
    45 ÷ 5 = 9

    The simplified fraction is 5/9. So, the ratio equivalent to 25 over 45 is 5/9.

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  • 4. 

    Find a ratio equivalent to 3 over 8.

    • A.

      9/21

    • B.

      24/9

    • C.

      15/40

    • D.

      22/19

    Correct Answer
    C. 15/40
  • 5. 

    Write the ratio of 96 runners to 216 swimmers in simplest form.

    • A.

      96/216

    • B.

      16/36

    • C.

      4/9

    • D.

      9/4

    Correct Answer
    C. 4/9
  • 6. 

    Write the ratio of 2 cups to 3 qt as a fraction in simplest form?

    • A.

      3/2

    • B.

      2/3

    • C.

      2/12

    • D.

      1/6

    Correct Answer
    D. 1/6
  • 7. 

    Find a ratio equivalent to 3:25.

    • A.

      1:9

    • B.

      9:225

    • C.

      9:75

    • D.

      75:9

    Correct Answer
    C. 9:75
  • 8. 

    Which fraction shows the ratio of 3 dogs to 5 dogs?

    • A.

      6/10

    • B.

      9/10

    • C.

      27/40

    • D.

      12/15

    Correct Answer
    A. 6/10
  • 9. 

    Find a ratio equivalent to 27/81.

    • A.

      3:10

    • B.

      9:9

    • C.

      1:3

    • D.

      5:9

    Correct Answer
    C. 1:3
  • 10. 

    Is 12/24 = 50/100?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
  • 11. 

    Is 1/3 = 2/9?

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
  • 12. 

    Is 2/3 = 24/36?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
  • 13. 

    A recipe calls for 2 cups of flour for every 3 cups of sugar. If you use 8 cups of flour, how many cups of sugar will you need?

    • A.

      10 cups

    • B.

      12 cups

    • C.

      14 cups

    • D.

      16 cups

    Correct Answer
    B. 12 cups
    Explanation
    The recipe provides a ratio of flour to sugar, which is 2:3. To maintain the same proportion when using 8 cups of flour, we need to find an equivalent ratio. We can do this by multiplying both sides of the ratio 2:3 by 4. This gives us 8:12. Therefore, to use 8 cups of flour while keeping the proportions of the recipe the same, you would need 12 cups of sugar.

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  • 14. 

    If 10 workers can complete a job in 6 days, how many days will it take 15 workers to complete the same job?

    • A.

      3 days

    • B.

      4 days

    • C.

      5 days

    • D.

      6 days

    Correct Answer
    B. 4 days
    Explanation
    This type of problem involves an inverse proportion. This means that as the number of workers increases, the time taken to complete the job decreases. We can set up a proportion to solve this: 10 workers / 15 workers = x days / 6 days. To find the value of x (the number of days for 15 workers), we cross-multiply and solve the equation. This gives us x = (10 x 6) / 15 = 4 days.

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  • 15. 

    A car travels 240 miles in 4 hours. At this rate, how far will it travel in 7 hours?

    • A.

      350 miles

    • B.

      380 miles

    • C.

      420 miles

    • D.

      450 miles

    Explanation
    First, we find the car's speed: 240 miles / 4 hours = 60 miles per hour. Then, to find the distance traveled in 7 hours, we multiply the speed by the time: 60 miles/hour x 7 hours = 420 miles.

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Janaisa Harris |BA (Mathematics) |
High School Math Teacher
Janaisa Harris, an experienced educator, has devoted 4 years to teaching high school math and 6 years to tutoring. She holds a bachelor's degree in Mathematics (Secondary Education, and Teaching) from the University of North Carolina at Greensboro and is currently employed at Wilson County School (NC) as a mathematics teacher.

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  • Current Version
  • Feb 28, 2025
    Quiz Edited by
    ProProfs Editorial Team

    Expert Reviewed by
    Janaisa Harris
  • Nov 18, 2016
    Quiz Created by
    Fletcher Bowen
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