Math Test: Ratio And Proportion Quiz For Grade 7

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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.
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  • 1/20 Questions

    A pet store has 8 cats, 12 dogs and 3 rabbits. The ratio 8:23 compares

    • Dogs to cats
    • Cats to dogs
    • Rabbits to cats
    • Cats to all animals
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About This Quiz

Welcome to the "Ratio and Proportion Quiz for Grade 7"! Designed specifically for seventh graders, this interactive quiz provides a fun and engaging way to deepen your understanding of ratios and proportions. Whether you're a student looking to enhance your math skills or a teacher seeking a resource for classroom activities, this quiz is perfect for mastering these essential mathematical concepts.

You'll encounter various formats, including multiple-choice questions, fill-in-the-blanks, and practical application problems. The quiz also includes explanations for each answer, helping you understand the reasoning behind correct solutions and learn from any mistakes.

Dive into our "Ratio and Proportion Quiz for Grade 7" and start mastering these crucial skills today! It's an excellent way to prepare for exams, reinforce classroom learning, and boost your confidence in handling mathematical challenges.

Math Test: Ratio And Proportion Quiz For Grade 7 - Quiz

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  • 2. 

    Simplify the ratio 6 : 42

    • 1:6

    • 1:7

    • 6:1

    • 7:1

    Correct Answer
    A. 1:7
    Explanation
    To simplify a ratio, find the greatest common factor (GCF) of both sides of the ratio and divide both sides by the GCF. The GCF of 6 and 42 is 6. Dividing both sides of 6:42 by 6 gives 1:7.

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  • 3. 

    Simplify the ratio 20:45

    • 4:9

    • 5:9

    • 9:4

    • 9:5

    Correct Answer
    A. 4:9
    Explanation
    The ratio 20:45 represents a comparison between two quantities, where the first quantity is 20 units and the second quantity is 45 units. To simplify this ratio, we need to find the greatest common factor (GCF) of 20 and 45, which is 5. Dividing both sides of the ratio by 5 gives us 4:9. This simplified ratio represents the same proportional relationship between the two quantities, but with smaller, more manageable numbers.

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  • 4. 

    A car can travel 300 miles on 30 gallons of gas. How much gas will it need to go 260 miles?

    • 13

    • 26

    • 10

    • 28

    Correct Answer
    A. 26
    Explanation
    To find out how much gas will be needed to travel 260 miles, we can set up a proportion using the given information. We know that the car can travel 300 miles on 30 gallons of gas. So, we can set up the proportion: 300 miles / 30 gallons = 260 miles / x gallons. Cross multiplying, we get 300x = 30 * 260. Solving for x, we get x = (30 * 260) / 300 = 26 gallons. Therefore, the car will need 26 gallons of gas to go 260 miles.

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  • 5. 

    Johnny has a bag full of marbles that he keeps in his desk. He has 35 red marbles and 25 green marbles. Find the ratio of red marbles to green marbles, and put it in its simplest form.

    • 35:25

    • 7:5

    • 25:35

    • 6:5

    Correct Answer
    A. 7:5
    Explanation
    The ratio of red marbles to green marbles is 7:5. This is because there are 35 red marbles and 25 green marbles. To simplify the ratio, we divide both numbers by their greatest common divisor, which is 5. Dividing 35 by 5 gives us 7, and dividing 25 by 5 gives us 5. Therefore, the simplest form of the ratio is 7:5.

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  • 6. 

    Is 4/3 = 24/30, true or false?

    • True

    • False

    Correct Answer
    A. False
    Explanation
    The statement "4/3 = 24/30" is false. To determine if two fractions are equal, we need to find their simplest form. Simplifying 4/3 gives us 4/3, while simplifying 24/30 gives us 4/5. Since 4/3 and 4/5 are not equal, the statement is false.

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  • 7. 

    If it costs $90 to feed a family of 3 for one week, how much will it cost to feed a family of 5 for one week?

    • $180.00

    • $30.00

    • $120.00

    • $150.00

    Correct Answer
    A. $150.00
    Explanation
    The cost of feeding a family of 3 for one week is $90. To find the cost for a family of 5, we first determine the cost per person, which is $90 divided by 3, or $30. Then, we multiply the cost per person by 5 to get the total cost for a family of 5, which is $150.

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  • 8. 

    Which ratio is in proportion to 20: 16

    • 40 : 30

    • 10 to 6

    • 5/4

    • 2 to 9

    Correct Answer
    A. 5/4
    Explanation
    The ratio 5/4 is in proportion to 20:16 because when we simplify the ratio 20:16, we get 5:4. This means that every 5 parts of the first ratio corresponds to 4 parts of the second ratio. Therefore, the ratio 5/4 is in proportion to 20:16.

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  • 9. 

     In a room there are 9 boys and 12 girls. The ratio of girls to boys is

    • 3:7

    • 2:5

    • 4:3

    • 7:8

    Correct Answer
    A. 4:3
  • 10. 

    Is 5 to 4 and 35 to 28 proportional, true or false?

    • True

    • False

    Correct Answer
    A. True
    Explanation
    The given answer is true because 5 is equivalent to 35 when multiplied by 7, and 4 is equivalent to 28 when multiplied by 7 as well. Therefore, the ratio of 5 to 4 is the same as the ratio of 35 to 28, making them proportional.

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  • 11. 

    Marlo can run 2 miles in 15 minutes. How many miles can Marlo run in 60 minutes?

    • 4 miles

    • 15 miles

    • 8 miles

    • 450 miles

    Correct Answer
    A. 8 miles
    Explanation
    Marlo can run 2 miles in 15 minutes. To find out how many miles Marlo can run in 60 minutes, we can set up a proportion. Since 15 minutes is to 2 miles, then 60 minutes would be to x miles. Cross-multiplying, we get 15x = 120. Dividing both sides by 15, we find that x = 8. Therefore, Marlo can run 8 miles in 60 minutes.

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  • 12. 

    Nick played basketball against Mr. Casarella. He made 8 baskets for every 12 shots that he took. How many baskets would he make if he took 60 shots? 

    • 24 baskets

    • 35 baskets

    • 40 baskets

    • 90 baskets

    Correct Answer
    A. 40 baskets
    Explanation
    If Nick makes 8 baskets for every 12 shots, you can set up a proportion to find out how many baskets he would make if he took 60 shots:

    (8 baskets / 12 shots) = (x baskets / 60 shots)

    Now, cross-multiply and solve for x:

    8 * 60 = 12 * x

    480 = 12 * x

    Now, divide both sides by 12 to isolate x:

    x = 480 / 12

    x = 40

    Nick would make 40 baskets if he took 60 shots.

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  • 13. 

    Which ratio is different from the others

    • 8 to 15

    • 15:8

    • 8:15

    • 8/15

    Correct Answer
    A. 15:8
    Explanation
    The given ratios 8 to 15, 15:8, and 8:15 are all equivalent and represent the same ratio. However, the ratio 15:8 is different from the others as it is the inverse or reciprocal of the other ratios. In the other ratios, the numerator is 8 and the denominator is 15, whereas in the ratio 15:8, the numerator is 15 and the denominator is 8.

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  • 14. 

    At the Hope Zoo, there are 4 lions, 8 parrots, and 3 monkeys. What is the ratio of monkeys to total animals?

    • 3/15

    • 3/4

    • 1/4

    • 3/14

    Correct Answer
    A. 3/15
    Explanation
    The ratio of monkeys to total animals can be found by dividing the number of monkeys (3) by the total number of animals (4 lions + 8 parrots + 3 monkeys = 15 animals). So, the ratio of monkeys to total animals is 3/15.

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  • 15. 

    If 3:5 is equivalent to x:35, what is the value of x?

    • 15 

    • 18 

    • 21 

    • 24

    Correct Answer
    A. 21 
    Explanation
    The given proportion, 3:5 = x:35, states that the ratio of 3 to 5 is equal to the ratio of x to 35. To find the value of x, we can use the property that the product of the means (5 and x) is equal to the product of the extremes (3 and 35). This gives us the equation 5x = 105. Dividing both sides by 5, we get x = 21. Therefore, the value of x that satisfies the proportion is 21.

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  • 16. 

    Jack was traveling at 50 miles per hour. He drove for 4 1/2 hours. How far did he drive?

    • 250 miles

    • 150 miles

    • 200 miles

    • 225 miles

    Correct Answer
    A. 225 miles
    Explanation
    To find the distance Jack drove, we need to multiply his speed (50 miles per hour) by the time he traveled (4 1/2 hours). To convert 4 1/2 hours to a mixed number, we multiply the whole number (4) by the denominator (2) and add the numerator (1), which gives us 9/2 hours. Multiplying 50 miles per hour by 9/2 hours gives us 450/2 miles, which simplifies to 225 miles. Therefore, Jack drove 225 miles.

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  • 17. 

    Ratios compare:

    • Parts to a whole

    • Whole to a part

    • Part to a part

    • All of the above

    Correct Answer
    A. All of the above
    Explanation
    Ratios can compare parts to a whole, such as the ratio of the number of boys to the total number of students in a class. They can also compare a whole to a part, such as the ratio of the total revenue to the revenue generated by a specific product. Additionally, ratios can compare part to a part, for example, the ratio of the number of red cars to the number of blue cars in a parking lot. Therefore, all of the given options are valid explanations of what ratios can compare.

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  • 18. 

    In the last election, 210 people voted. If there were 1,260 possible voters, write a ratio to compare the number of people who voted to the number of possible voters, in its simplest form

    • 126/21

    • 210/ 1260

    • 21/126

    • 1/6

    Correct Answer
    A. 1/6
    Explanation
    The ratio compares the number of people who voted (210) to the number of possible voters (1260). To simplify the ratio, we divide both numbers by their greatest common divisor, which is 210. This gives us a simplified ratio of 1/6, meaning that for every 1 person who voted, there were 6 possible voters.

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  • 19. 

    Which ratio is equal to 15:20?

    • 5 to 10

    • 18:25

    • 21 to 28

    • 24:30

    Correct Answer
    A. 21 to 28
    Explanation
    The ratio 21 to 28 is equal to the ratio 15 to 20 because both ratios can be simplified to 3 to 4. To simplify the ratio 21 to 28, we divide both numbers by the greatest common divisor, which is 7. This gives us the simplified ratio of 3 to 4. Similarly, when we simplify the ratio 15 to 20, we also divide both numbers by the greatest common divisor, which is 5. This also gives us the simplified ratio of 3 to 4. Therefore, the ratio 21 to 28 is equal to the ratio 15 to 20.

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  • 20. 

    Derrick has 14 pairs of white socks and 22 pairs of navy blue socks. What is the ratio of the number of pairs of navy blue socks to the total number of pairs of socks?

    • 11/18

    • 7/11

    • 7/18

    • 14/22

    Correct Answer
    A. 11/18
    Explanation
    To find the ratio of each type of sock to the total number of pairs, we first need to determine the total number of pairs of socks Derrick has:

    Total pairs = 14 (white) + 22 (navy blue) = 36 pairs

    Now, we'll determine the ratio for each type:

    1. White socks:
    14 pairs of white socks to 36 total pairs = 14:36
    When reduced (by dividing each by 2), the ratio becomes 7:18.

    2. Navy blue socks:
    22 pairs of navy blue socks to 36 total pairs = 22:36
    When reduced (by dividing each by 2), the ratio becomes 11:18.

    So, the ratio of white socks to the total number of pairs is 7:18, and the ratio of navy blue socks to the total number of pairs is 11:18.

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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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  • Nov 13, 2024
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    Expert Reviewed by
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  • Apr 06, 2020
    Quiz Created by
    Tcgaellis
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