Interesting Quiz On Ratios And Rates!

1) For every 5 yards you run, Jill runs 6 yards. If you have run 30 yards, then how far has Jill run?

36 yards

45 yards

27 yards

18 yards

Jill runs 6 yards for every 5 yards you run. If you have run 30 yards, it means that Jill has run 6 yards for every 5 yards you ran. To find out how far Jill has run, we can set up a proportion: 6/5 = x/30. By cross-multiplying, we get 5x = 180, and solving for x, we find that x = 36. Therefore, Jill has run 36 yards.

Explanation

Jill runs 6 yards for every 5 yards you run. If you have run 30 yards, it means that Jill has run 6 yards for every 5 yards you ran. To find out how far Jill has run, we can set up a proportion: 6/5 = x/30. By cross-multiplying, we get 5x = 180, and solving for x, we find that x = 36. Therefore, Jill has run 36 yards.

2) You are taking a test for your English class. You have 10 questions for 10 minutes. How much time do you need to answer 8 questions?

2 minutes

4 minutes

6 minutes

8 minutes

To answer 8 questions, you would need 8 minutes. Since the test has 10 questions and you have 10 minutes to answer them all, it can be assumed that each question should be answered within 1 minute. Therefore, if you have 8 questions left to answer, you would need 8 minutes to complete them.

Explanation

To answer 8 questions, you would need 8 minutes. Since the test has 10 questions and you have 10 minutes to answer them all, it can be assumed that each question should be answered within 1 minute. Therefore, if you have 8 questions left to answer, you would need 8 minutes to complete them.

3) You are taking a test in Math. For every 3 questions, you have 5 minutes. If you have 30 questions, how much time do you have to take the test?

20 minutes

40 minutes

50 minutes

60 minutes

If for every 3 questions you have 5 minutes, then for 30 questions you will have 10 sets of 3 questions. Each set will take 5 minutes, so 10 sets will take 10 times 5 minutes, which equals 50 minutes. Therefore, you have 50 minutes to take the test.

Explanation

If for every 3 questions you have 5 minutes, then for 30 questions you will have 10 sets of 3 questions. Each set will take 5 minutes, so 10 sets will take 10 times 5 minutes, which equals 50 minutes. Therefore, you have 50 minutes to take the test.

4) The price of apples is 3 for $2.00. How much do you pay for 30 apples?

$10.00

$20.00

$30.00

$40.00

If the price of apples is 3 for $2.00, it means that each apple costs $2.00/3 = $0.67. Therefore, for 30 apples, you would pay 30 * $0.67 = $20.00.

Explanation

If the price of apples is 3 for $2.00, it means that each apple costs $2.00/3 = $0.67. Therefore, for 30 apples, you would pay 30 * $0.67 = $20.00.

5) The ratio of goldfish to gallons of water is 7 is to 2. How many goldfish can you get if you have 16 gallons of water?

46

56

36

26

The ratio of goldfish to gallons of water is 7:2, which means for every 7 goldfish, there are 2 gallons of water. To find out how many goldfish you can get with 16 gallons of water, you need to set up a proportion. Cross-multiplying, you get 7 * 16 = 2 * x, where x represents the number of goldfish. Solving for x, you find that x = 56. Therefore, you can get 56 goldfish if you have 16 gallons of water.

Explanation

The ratio of goldfish to gallons of water is 7:2, which means for every 7 goldfish, there are 2 gallons of water. To find out how many goldfish you can get with 16 gallons of water, you need to set up a proportion. Cross-multiplying, you get 7 * 16 = 2 * x, where x represents the number of goldfish. Solving for x, you find that x = 56. Therefore, you can get 56 goldfish if you have 16 gallons of water.

6) You are taking a test for your History class. You have 20 minutes to answer 10 questions. How much time do you have for 5 questions?

5 minutes

10 minutes

15 minutes

20 minutes

If you have 20 minutes to answer 10 questions, it means you have 2 minutes per question. Since you only need to answer 5 questions, you can multiply 2 minutes by 5 to get the total time needed, which is 10 minutes. Therefore, you have 10 minutes to answer 5 questions.

Explanation

If you have 20 minutes to answer 10 questions, it means you have 2 minutes per question. Since you only need to answer 5 questions, you can multiply 2 minutes by 5 to get the total time needed, which is 10 minutes. Therefore, you have 10 minutes to answer 5 questions.

7) You type 200 words in 5 minutes. Brenda types 240 words in 6 minutes.How many words does Brenda type in a minute?

20 words

40 words

60 words

80 words

To find out how many words Brenda types in a minute, we can divide the total number of words she types (240) by the total number of minutes it takes her to type them (6). This gives us a rate of 40 words per minute. Therefore, Brenda types 40 words in a minute.

Explanation

To find out how many words Brenda types in a minute, we can divide the total number of words she types (240) by the total number of minutes it takes her to type them (6). This gives us a rate of 40 words per minute. Therefore, Brenda types 40 words in a minute.

8) You are taking a test in Science. There are 20 questions and is allotted 45 minutes. How much time do you have for 10 questions?

2 minutes and 25 seconds

11 minutes and 25 seconds

22 minutes and 5 seconds

None of the above

Since there are 20 questions in total and 45 minutes allotted, we can calculate the average time per question by dividing the total time by the number of questions: 45 minutes ÷ 20 questions = 2 minutes and 15 seconds per question. Therefore, for 10 questions, we can multiply the average time per question by 10: 2 minutes and 15 seconds × 10 = 22 minutes and 5 seconds.

Explanation

Since there are 20 questions in total and 45 minutes allotted, we can calculate the average time per question by dividing the total time by the number of questions: 45 minutes ÷ 20 questions = 2 minutes and 15 seconds per question. Therefore, for 10 questions, we can multiply the average time per question by 10: 2 minutes and 15 seconds × 10 = 22 minutes and 5 seconds.