Proportional Reasoning: Unit Rate Quiz

If you drive 180 miles on 6 gallons of gas, what is the unit rate of miles per gallon?

• 30 miles/gallon

• 36 miles/gallon

• 24 miles/gallon

• 18 miles/gallon

Answer explanation

To find the unit rate, divide the total miles by the total gallons: 180 miles / 6 gallons = 30 miles/gallon. Therefore, the correct unit rate is 30 miles/gallon.

A grocery store sells 12 apples for $3.00. What is the unit price per apple?

• $0.25

• $0.50

• $0.20

• $0.15

Answer explanation

To find the unit price per apple, divide the total cost by the number of apples: $3.00 / 12 = $0.25 per apple. Therefore, the correct unit price per apple is $0.25.

If a runner completes 15 laps around a 400-meter track in 30 minutes, what is the unit rate of meters per minute?

• 200 meters/minute

• 250 meters/minute

• 300 meters/minute

• 400 meters/minute

Answer explanation

To find the unit rate, divide the total distance (15 laps * 400 meters) by the total time (30 minutes): (15 * 400) / 30 = 200 meters/minute. Therefore, the correct unit rate is 200 meters/minute.

A factory produces 480 gadgets in 8 hours. What is the unit rate of gadgets per hour?

• 60 gadgets/hour

• 40 gadgets/hour

• 50 gadgets/hour

• 70 gadgets/hour

Answer explanation

To find the unit rate, divide the total number of gadgets produced by the total number of hours worked: 480 gadgets / 8 hours = 60 gadgets/hour. Therefore, the correct unit rate is 60 gadgets/hour.

Emily drove her car for 300 kilometers on 50 liters of fuel. What is Emily's car's fuel efficiency in kilometers per liter?

• 5 km/liter

• 6 km/liter

• 7 km/liter

• 8 km/liter

Answer explanation

To find fuel efficiency, divide distance traveled by fuel used: 300 km / 50 L = 6 km/L. Therefore, the car's fuel efficiency is 6 km/liter.

A chef is preparing a large batch of cookies and realizes the recipe requires 2 cups of sugar to produce 24 cookies. How many cups of sugar are needed per cookie?

• 0.083 cups/cookie

• 0.12 cups/cookie

• 0.1 cups/cookie

• 0.05 cups/cookie

Answer explanation

To find the unit rate, divide the total cups of sugar by the number of cookies: 2 cups / 24 cookies = 0.083 cups/cookie. Therefore, the correct unit rate is 0.083 cups/cookie.

A cyclist named Alex decides to visit a friend who lives 90 kilometers away. If Alex manages to reach the friend's house in 3 hours, what was Alex's average speed during the trip in kilometers per hour?

• 30 km/hour

• 25 km/hour

• 20 km/hour

• 35 km/hour

Answer explanation

To find the speed, divide the distance traveled by the time taken: 90 km / 3 hours = 30 km/hour. Therefore, the correct answer is 30 km/hour.

If a worker paints 300 meters of fence in 5 days, what is the unit rate of meters painted per day?

• 60 meters/day

• 50 meters/day

• 70 meters/day

• 40 meters/day

Answer explanation

To find the unit rate of pages per day, divide the total pages (300) by the number of days (5). 300 pages ÷ 5 days = 60 pages/day. Therefore, the correct unit rate is 60 pages/day.

A company pays $450 for 15 hours of work. What is the hourly wage?

• $30/hour

• $25/hour

• $20/hour

• $35/hour

Answer explanation

To find the hourly wage, divide the total amount paid ($450) by the total hours worked (15). $450 / 15 = $30/hour.

If a printer prints 250 pages in 5 minutes, what is the unit rate of pages per minute?

• 50 pages/minute

• 40 pages/minute

• 60 pages/minute

• 30 pages/minute

Answer explanation

To find the unit rate, divide the total pages printed by the total time taken: 250 pages / 5 minutes = 50 pages/minute. Therefore, the correct unit rate is 50 pages/minute.