# Lesson Worksheet: Unit Rate Mathematics • 6th Grade

In this worksheet, we will practice finding a unit rate and using it to solve problems in the real world.

Q1:

Which of these is the correct definition for the rate?

• AThe rate is the ratio between two quantities with different units.
• BThe rate is the ratio between two quantities with the same unit.

Q2:

Determine the unit rate for the following situation: Jacob earns \$360 in 40 hours.

Q3:

A student uses 42 sheets of cardboard to make 3 equal-sized cubes. How many sheets do they use for each cube?

Q4:

Given that a factory produces 7,500 cans of juice in 5 hours, what is its average rate of production in cans per hour?

Q5:

If Mia drinks 35 glasses of juice per week, then how many glasses of juice per day would that be, on average?

Q6:

Given that a water tap leaks 36 liters of water in 5 hours, find the leakage rate per minute.

• A L/min
• B L/min
• C180 L/min
• D L/min
• E L/min

Q7:

Michael drove 244 km in 4 hours. Giving your answer correct to one decimal place, what is his average speed in km/h?

Q8:

If a runner ran 13 miles in 2 hours at a constant rate, how many miles did she run per hour?

Q9:

A car uses 10 liters of fuel to travel 50 km. What is the car’s fuel consumption rate in liters per kilometer?

Q10:

The parking fees of a parking lot are \$5 for 25 hours and \$10 for 50 hours. Determine, to the nearest cent, the cost per hour.

Q11:

A car consumes 33 liters of gasoline to travel 858 km. How many liters will it consume at the same rate in traveling 1,300 km?

Q12:

Noah was offered \$4,035 annually for a lifeguard job on weekends. Determine his monthly rate of pay.

Q13:

Express the following ratio as a unit rate, rounding to the nearest hundredth: 10 batteries in 6 months.

Q14:

Determine the unit rate for a group of 990 people who went to the park between the hours of 9:00 and 11:00 am.

Q15:

Elizabeth traveled 1,632 miles in 4 days. Determine the unit rate that represents the average miles she traveled per day during her trip.

Q16:

Express, to the nearest hundredth, the following ratio as a unit rate: 1,210 gallons in 20 days.

Q17:

Which of the following rates can be classified as a unit rate?

• A\$42 for 6 cards
• B30 pages in 45 minutes
• C\$3.80 for 1 gallon of water
• D\$2.40 for 4 oranges
• E90 miles per 30 hours

Q18:

A family spends 560 LE in 2 days. If they spend the same amount each day, how much would they spend in 1 day?

Q19:

True or False: A unit rate compares a certain quantity to one unit of another quantity.

• ATrue
• BFalse

Q20:

Elizabeth is going on vacation. She has asked a friend to look after her cat during her absence, so she needs to buy cat food in advance. She has noticed that a 3-kilogram pack of food lasts about 2 months (60 days). How much does the cat eat per day?

Q21:

A photographer charges \$180 an hour. How much do they charge per minute?

• A\$3 per minute
• B\$2 per minute
• C\$7.50 per minute
• D\$4 per minute
• E\$6 per minute

Q22:

A piece of 3 cm3 of wood weighs 2.4 g. Given that the mass of a piece of wood is proportional to its volume, what is the unit rate of this proportional relationship (i.e., the density of the wood)?

• A8 g/cm3
• B7.2 g/cm3
• C0.8 g/cm3
• D0.2 g/cm3
• E1.25 g/cm3

Choose, from the following, three points of the graph of the mass of a piece of this type of wood against its volume.

• A
• B
• C
• D
• E

Q23:

If four cups of coffee cost \$10.80, how much of a cup of coffee could you buy with one dollar?

• A of a cup per dollar
• B of a cup per dollar
• C cups per dollar
• D of a cup per dollar
• E of a cup per dollar

Q24:

Daniel buys 6 apples for \$0.82. What is the cost of one apple?

Q25:

A tunnel boring machine can excavate about 75 feet every 24 hours. Which expression represents its rate in feet per hour?

• A
• B
• C
• D
• E