# 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.

**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.

**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 cm^{3} 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/cm
^{3} - B7.2 g/cm
^{3} - C0.8 g/cm
^{3} - D0.2 g/cm
^{3} - E1.25 g/cm
^{3}

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