Math Test: Ratio And Proportion Quiz For Grade 7
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 Read moreQuiz 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.
Ratio and Proportion For Grade 7 Questions and Answers
- 1.
Which ratio is different from the others
- A.
8 to 15
- B.
15:8
- C.
8:15
- D.
8/15
Correct Answer
B. 15:8Explanation
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.Rate this question:
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- 2.
Which ratio is equal to 15:20?
- A.
5 to 10
- B.
18:25
- C.
21 to 28
- D.
24:30
Correct Answer
C. 21 to 28Explanation
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.Rate this question:
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- 3.
A pet store has 8 cats, 12 dogs and 3 rabbits. The ratio 8:23 compares
- A.
Dogs to cats
- B.
Cats to dogs
- C.
Rabbits to cats
- D.
Cats to all animals
Correct Answer
D. Cats to all animalsExplanation
The ratio 8:23 compares the number of cats to the total number of animals in the pet store. The ratio tells us that for every 8 cats, there are 23 animals in total, which includes cats, dogs, and rabbits.Rate this question:
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- 4.
In a room there are 9 boys and 12 girls. The ratio of girls to boys is
- A.
3:7
- B.
2:5
- C.
4:3
- D.
7:8
Correct Answer
C. 4:3 -
- 5.
If 3:5 is equivalent to x:35, what is the value of x?
- A.
15
- B.
18
- C.
21
- D.
24
Correct Answer
C. 21Explanation
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.Rate this question:
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- 6.
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.
- A.
35:25
- B.
7:5
- C.
25:35
- D.
6:5
Correct Answer
B. 7:5Explanation
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.Rate this question:
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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?
- A.
$180.00
- B.
$30.00
- C.
$120.00
- D.
$150.00
Correct Answer
D. $150.00Explanation
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.Rate this question:
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- 8.
Simplify the ratio 6 : 42
- A.
1:6
- B.
1:7
- C.
6:1
- D.
7:1
Correct Answer
B. 1:7Explanation
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.Rate this question:
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- 9.
Simplify the ratio 20:45
- A.
4:9
- B.
5:9
- C.
9:4
- D.
9:5
Correct Answer
A. 4:9Explanation
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.Rate this question:
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- 10.
A car can travel 300 miles on 30 gallons of gas. How much gas will it need to go 260 miles?
- A.
13
- B.
26
- C.
10
- D.
28
Correct Answer
B. 26Explanation
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.Rate this question:
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- 11.
Marlo can run 2 miles in 15 minutes. How many miles can Marlo run in 60 minutes?
- A.
4 miles
- B.
15 miles
- C.
8 miles
- D.
450 miles
Correct Answer
C. 8 milesExplanation
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.Rate this question:
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- 12.
Ratios compare:
- A.
Parts to a whole
- B.
Whole to a part
- C.
Part to a part
- D.
All of the above
Correct Answer
D. All of the aboveExplanation
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.Rate this question:
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- 13.
At the Hope Zoo, there are 4 lions, 8 parrots, and 3 monkeys. What is the ratio of monkeys to total animals?
- A.
3/15
- B.
3/4
- C.
1/4
- D.
3/14
Correct Answer
A. 3/15Explanation
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.Rate this question:
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- 14.
Which ratio is in proportion to 20: 16
- A.
40 : 30
- B.
10 to 6
- C.
5/4
- D.
2 to 9
Correct Answer
C. 5/4Explanation
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.Rate this question:
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- 15.
Is 5 to 4 and 35 to 28 proportional, true or false?
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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.Rate this question:
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- 16.
Is 4/3 = 24/30, true or false?
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
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.Rate this question:
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- 17.
Jack was traveling at 50 miles per hour. He drove for 4 1/2 hours. How far did he drive?
- A.
250 miles
- B.
150 miles
- C.
200 miles
- D.
225 miles
Correct Answer
D. 225 milesExplanation
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.Rate this question:
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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
- A.
126/21
- B.
210/ 1260
- C.
21/126
- D.
1/6
Correct Answer
D. 1/6Explanation
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.Rate this question:
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- 19.
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?
- A.
11/18
- B.
7/11
- C.
7/18
- D.
14/22
Correct Answer
A. 11/18Explanation
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.Rate this question:
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- 20.
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?
- A.
24 baskets
- B.
35 baskets
- C.
40 baskets
- D.
90 baskets
Correct Answer
C. 40 basketsExplanation
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.Rate this question:
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Current Version
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Nov 13, 2024Quiz Edited by
ProProfs Editorial Team
Expert Reviewed by
Janaisa Harris -
Apr 06, 2020Quiz Created by
Tcgaellis
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