Ratio and Proportion Quiz: Test Your Math Skills Online

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?

9/7

7/16

7/9

16/7

Explanation

2. Find a ratio equivalent to 25 over 45.

2/4

5/9

5/8

9/5

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.

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.

3. 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?

10 cups

12 cups

14 cups

16 cups

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.

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.

4. Is 2/3 = 24/36?

True

False

Explanation

5. Is 1/3 = 2/9?

True

False

Explanation

6. Find a ratio equivalent to 3:25.

1:9

9:225

9:75

75:9

Explanation

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

6/10

9/10

27/40

12/15

Explanation

8. Find a ratio equivalent to 3 over 8.

9/21

24/9

15/40

22/19

Explanation

9. Which ratios are equal to 4 : 32?

2 : 96; 2 : 16

12 : 96; 2 : 16

12 : 96; 12 : 16

2 : 96; 12 : 16

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.

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.

10. Find a ratio equivalent to 27/81.

3:10

9:9

1:3

5:9

Explanation

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

96/216

16/36

4/9

9/4

Explanation

12. Is 12/24 = 50/100?

True

False

Explanation

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

3 days

4 days

5 days

6 days

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.

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.

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

350 miles

380 miles

420 miles

450 miles

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.

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.

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

3/2

2/3

2/12

1/6

Explanation

Ratio And Proportion Quiz With Answers