Fundamentals of Ratios: Proportional Calculus Quiz

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  • 1/15 Questions

    Simplify the ratio 24:40.

    • 3:5
    • 5:3
    • 4:5
    • 5:4
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About This Quiz

Ready for a mathematical journey with our "Fundamentals of Ratios: Proportional Calculus Quiz"? This quiz is designed to deepen your understanding of proportional calculus, a fundamental concept in mathematics that underlies the principles of ratios and proportions.

Explore the basic principles governing ratios, understand how proportions play a crucial role in mathematical balance, and master the art of quantitative reasoning. Each question is crafted to challenge your grasp of proportional relationships and enhance your problem-solving skills.

From simple ratios to complex proportional reasoning, this quiz covers a spectrum of topics, making it suitable for both beginners and those seeking to reinforce their foundational knowledge.

Are you ready to unravel the Fundamentals of Ratios and conquer the intricacies of Proportional Calculus? Join us in this mathematical exploration and put your skills to the test. Play the "Fundamentals of Ratios: Proportional Calculus Quiz" now!

Fundamentals Of Ratios: Proportional Calculus Quiz - Quiz

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  • 2. 

    If the ratio of boys to girls in a class is 3:5 and there are 24 boys, how many girls are there?

    • 8

    • 24

    • 40

    • 72

    Correct Answer
    A. 40
    Explanation
    Since the ratio of boys to girls is 3:5 and there are 24 boys, we can set up a proportion. Let x be the number of girls. The proportion becomes 3/5 = 24/x. Cross-multiplying, we get 3x = 120. Solving for x, we find x = 40. Therefore, there are 40 girls in the class.

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  • 3. 

    If the ratio of men to women in a room is 7:4 and there are 28 men, how many women are there?

    • 16

    • 32

    • 56

    • 112

    Correct Answer
    A. 16
    Explanation
    Using the given ratio of men to women (7:4) and the number of men (28), we can set up a proportion. Let x be the number of women. The proportion becomes 7/4 = 28/x. Cross-multiplying, we get 7x = 112. Solving for x, we find x = 16. Therefore, there are 16 women in the room.

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  • 4. 

    If the ratio of cats to dogs in a pet store is 2:5 and there are 20 cats, how many dogs are there?

    • 5

    • 12

    • 25

    • 50

    Correct Answer
    A. 50
    Explanation
    Using the given ratio of cats to dogs (2:5) and the number of cats (20), we can set up a proportion. Let x be the number of dogs. The proportion becomes 2/5 = 20/x. Cross-multiplying, we get 2x = 100. Solving for x, we find x = 50. Therefore, there are 50 dogs in the pet store.

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  • 5. 

    Simplify the ratio 15:20.

    • 3:4

    • 4:5

    • 1:4

    • 2:3

    Correct Answer
    A. 3:4
    Explanation
    To simplify a ratio, divide both values by their greatest common divisor. The greatest common divisor of 15 and 20 is 5. Dividing both values by 5, we get 3:4. Therefore, the simplified ratio of 15:20 is 3:4.

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  • 6. 

    If the ratio of apples to oranges in a basket is 2:7, how many oranges are there if there are 18 apples?

    • 7

    • 18

    • 36

    • 63

    Correct Answer
    A. 63
    Explanation
    Using the given ratio of apples to oranges (2:7) and the number of apples (18), we can set up a proportion. Let x be the number of oranges. The proportion becomes 2/7 = 18/x. Cross-multiplying, we get 2x = 126. Solving for x, we find x = 63. Therefore, there are 63 oranges in the basket.

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  • 7. 

    If the ratio of lemons to limes in a juice recipe is 5:3 and there are 20 lemons, how many limes are needed?

    • 20

    • 12

    • 18

    • 30

    Correct Answer
    A. 12
    Explanation
    Using the given ratio of lemons to limes (5:3) and the number of lemons (20), we can set up a proportion. Let x be the number of limes. The proportion becomes 5/3 = 20/x. Cross-multiplying, we get 5x = 60. Solving for x, we find x = 12. Therefore, 12 limes are needed.

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  • 8. 

    If the ratio of apples to bananas in a fruit salad is 4:9 and there are 36 apples, how many bananas are needed?

    • 9

    • 18

    • 81

    • 162

    Correct Answer
    A. 81
    Explanation
    Using the given ratio of apples to bananas (4:9) and the number of apples (36), we can set up a proportion. Let x be the number of bananas. The proportion becomes 4/9 = 36/x. Cross-multiplying, we get 4x = 324. Solving for x, we find x = 81. Therefore, 81 bananas are needed.

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  • 9. 

    What is the ratio of 5:8 expressed as a fraction?

    • 5/8

    • 8/5

    • 5/13

    • 13/5

    Correct Answer
    A. 5/8
    Explanation
    The ratio 5:8 can be expressed as a fraction by putting the first value as the numerator and the second value as the denominator. Therefore, the ratio 5:8 as a fraction is 5/8.

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  • 10. 

    Simplify the ratio 9:12.

    • 1:4

    • 3:4

    • 2:3

    • 4:3

    Correct Answer
    A. 3:4
    Explanation
    To simplify a ratio, divide both values by their greatest common divisor. The greatest common divisor of 9 and 12 is 3. Dividing both values by 3, we get 3:4. Therefore, the simplified ratio of 9:12 is 3:4.

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  • 11. 

    Simplify the ratio 16:24.

    • 2:3

    • 2:1

    • 3:4

    • 4:3

    Correct Answer
    A. 2:3
    Explanation
    To simplify a ratio, divide both values by their greatest common divisor. The greatest common divisor of 16 and 24 is 8. Dividing both values by 8, we get 2:3. Therefore, the simplified ratio of 16:24 is 2:3.

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  • 12. 

    If it takes 4 hours for 6 workers to build a wall, how many workers are needed to build the same wall in 3 hours?

    • 4

    • 8

    • 9

    • 12

    Correct Answer
    A. 8
    Explanation
    Let's use the concept of man-hours to solve this problem. The total man-hours required to build the wall is constant.

    If 6 workers can build the wall in 4 hours, then the total man-hours is (6 workers * 4 hours) = 24- man-hours.

    Now, if you want to build the same wall in 3 hours, you can set up the equation:

    {Number of workers} \ {Time (in hours)} = {Total man-hours} 

    Let x be the number of workers needed. The equation is:

    x* 3 = 24

    Now, solve for  x :

    x = 24/3

    x = 8 

    Therefore, you would need 8 workers to build the same wall in 3 hours.

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  • 13. 

    If the ratio of students to books in a library is 6:5 and there are 70 books, how many students are there?

    • 84

    • 36

    • 30

    • 12

    Correct Answer
    A. 84
    Explanation
    Using the given ratio of students to books (6:5) and the number of books (70), we can set up a proportion. Let x be the number of students. The proportion becomes 6/5 = x/70. Cross-multiplying, we get 5x = 420. Solving for x, we find x = 84. Therefore, there are 84 students in the library.

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  • 14. 

    If the ratio of boys to girls in a school is 2:3 and there are 120 girls, how many boys are there?

    • 40

    • 60

    • 80

    • 160

    Correct Answer
    A. 80
    Explanation
    Using the given ratio of boys to girls (2:3) and the number of girls (120), we can set up a proportion. Let x be the number of boys. The proportion becomes 2/3 = x/120. Cross-multiplying, we get 3x = 240. Solving for x, we find x = 80. Therefore, there are 80 boys in the school.

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  • 15. 

    If the ratio of wins to losses in a sports team is 3:2 and they have played 30 games, how many games have they won?

    • 10

    • 18

    • 20

    • 18

    Correct Answer
    A. 18
    Explanation
    Given that the ratio of wins to losses is 3:2 and the team has played 30 games, you can use this information to find the number of games they won.

    Let x be the number of wins. The ratio of wins to losses is given as 3:2, so you can set up a proportion:

    {Number of wins}/{Number of losses} = 3/2

    Now, since the team has played 30 games, the total number of games is the sum of wins and losses:

    {Number of wins} + {Number of losses} = 30

    Substitute the given value for the number of wins in the proportion:

    x + 3/2*x = 30

    Combine like terms:

    5/3* x = 30 

    Multiply both sides by 5/3 to solve for x :

    x = 3/5* 30
    x = 18 

    Therefore, they have won 18 games.

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  • Current Version
  • Nov 29, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Nov 28, 2023
    Quiz Created by
    Surajit Dey
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