Understanding Ratios and Rates Quiz

A car travels 180 miles in 3 hours. What is the unit rate of the car's speed in miles per hour?

• 50 miles per hour

• 60 miles per hour

• 70 miles per hour

• 80 miles per hour

Answer explanation

To find the unit rate of speed, divide the total distance by the total time. Here, 180 miles ÷ 3 hours = 60 miles per hour. Thus, the car's speed is 60 miles per hour.

If 4 oranges cost $2, how much would 10 oranges cost at the same rate?

• $4

• $5

• $6

• $7

Answer explanation

If 4 oranges cost $2, then 1 orange costs $0.50. Therefore, 10 oranges would cost 10 x $0.50 = $5. Thus, the correct answer is $5.

Complete the table of equivalent ratios: | Apples | Oranges | |--------|---------| | 2 | 3 | | 4 | 6 | | 6 | ? | What is the missing value?

• 7

• 8

• 9

• 10

Answer explanation

To find the missing value for 6 apples, we use the ratio 2:3. Doubling the apples from 2 to 6 also doubles the oranges from 3 to 9. Thus, the missing value is 9.

A store sells 5 pounds of apples for $10. What is the unit price per pound?

• $1

• $2

• $3

• $4

Answer explanation

To find the unit price, divide the total cost by the total weight. Here, $10 ÷ 5 pounds = $2 per pound. Therefore, the correct answer is $2.

What is 25% of 200?

• 25

• 50

• 75

• 100

Answer explanation

To find 25% of 200, multiply 200 by 0.25. This gives 200 * 0.25 = 50. Therefore, the correct answer is 50.

A recipe calls for a ratio of 2 cups of flour to 3 cups of sugar. If you use 8 cups of flour, how many cups of sugar do you need?

• 10

• 11

• 12

• 13

Answer explanation

The ratio of flour to sugar is 2:3. If you use 8 cups of flour, set up the proportion: 2/3 = 8/x. Cross-multiply to get 2x = 24, so x = 12. Therefore, you need 12 cups of sugar.

A cyclist travels 45 miles in 3 hours. What is the cyclist's speed in miles per hour?

• 10 miles per hour

• 15 miles per hour

• 20 miles per hour

• 25 miles per hour

Answer explanation

To find the speed, divide the distance by the time: 45 miles ÷ 3 hours = 15 miles per hour. Therefore, the correct answer is 15 miles per hour.

Fill in the missing value in the table of equivalent ratios: | Dogs | Cats | |------|------| | 3 | 4 | | 6 | 8 | | 9 | ? |

• 10

• 11

• 12

• 13

Answer explanation

The ratios of Dogs to Cats are equivalent. The ratio 3:4 can be simplified to 9:? by multiplying both sides by 3. Thus, 9 * 4 / 3 = 12. Therefore, the missing value for Cats is 12.

If a car travels 240 miles in 4 hours, what is the car's speed in miles per hour?

• 50 miles per hour

• 55 miles per hour

• 60 miles per hour

• 65 miles per hour

Answer explanation

To find the speed, divide the distance by the time: 240 miles ÷ 4 hours = 60 miles per hour. Therefore, the correct answer is 60 miles per hour.

What is 40% of 150?

• 50

• 55

• 60

• 65

Answer explanation

To find 40% of 150, multiply 150 by 0.4. This gives 150 * 0.4 = 60. Therefore, the correct answer is 60.