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Unit Rate Word Problems with Fractions - Printable Mathematics Worksheets - Wayground

Unit Rate Word Problems with Fractions

10 questions

7th - 7th Grade

Mathematics

This Grade 7 mathematics worksheet gives students practice finding unit rates when quantities are expressed as fractions. Across 10 real-world word problems, students determine rates for scanning products, swimming, plant growth, travel, cleaning supplies, recipes, and household consumption. Nine items are multiple choice, and one is multiple select. Students must divide a fractional amount by a fractional or whole-number time, interpret the resulting units, and distinguish between a quantity per unit and its reciprocal. The problems include rates such as meters per minute, jugs per week, classrooms per minute, and minutes per classroom, helping students connect fraction division to practical situations. This free printable worksheet includes a complete answer key and is designed for Grade 7 math practice, independent work, review, or formative assessment.

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Worksheets

Unit Rate Word Problems with Fractions

Total questions: 10

Name
Class
Date
1.

A grocery store clerk can scan 1 product every 1/2 of a second. At what rate can she scan products?


_____ products per second

a)

1/2 products per second

b)

2 products per second

c)

1/2 seconds per product

d)

2 seconds per product

2.

A top swimmer would be able to swim across a 25-meter pool in about 1/5 of a minute. How fast can a top swimmer go?


______ meters per minute

a)

125 meters per minute

b)

5 meters per minute

c)

125 minutes per meter

d)

5 minutes per meter

3.

With some species of bamboo, you can actually see them grow. You could observe 30 centimeters of growth in just 1/3 of a day. At what rate does this bamboo grow?


____centimeters per day

a)

90 day per cm

b)

10 cm per day

c)

90 cm per day

d)

10 day per cm

4.

A seed sprouted and grew 2/3 of a foot in 3 months. What was its rate of growth?


____ feet per month

a)

3 months per ft

b)

2/9 months per ft

c)

2/9 ft per month

d)

3 ft per month

5.

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?


_____kilometers per minute

a)

12 minutes per kilometer

b)

1 minute per kilometer

c)

1 kilometer per minute

d)

12 kilometer per minute

6.

Sparkle Cleaners uses 2/3 of a jug of window cleaner in 4 weeks. How much window cleaner do they use in 1 week?


_____ jugs per week

a)

1/6 of a jug

b)

6 jugs

c)

1/3 of a jug

d)

3 jugs

7.

A motorcycle zoomed along the freeway, traveling 10 meters in 1/3 of a second. How fast was it going?


_____ meters per second

a)

3 seconds per meter

b)

30 seconds per meter

c)

30 meters per second

d)

3 meters per second

8.

Mrs. Jefferson's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?


____ cups of peanut butter

a)

2 cups

b)

1/2 cup

9.

A school janitor has mopped 1/3 of a classroom in 5 minutes. At what rate is he mopping?


____classrooms per minute

____ minutes per classroom


Choose both options

a)

1/15 minutes per classroom

b)

1/15 of a classroom per minute

c)

15 classrooms per minute

d)

15 minutes per classroom

10.

The Cooper family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?


gallons per day

a)

1/6 gallons per day

b)

1/6 days per gallon

c)

1 and 1/2 days per gallon

d)

6 gallons per day

Answer Key

Unit Rate Word Problems with Fractions

Total questions: 10

1.
b)

2 products per second

2.
a)

125 meters per minute

3.
c)

90 cm per day

4.
c)

2/9 ft per month

5.
d)

12 kilometer per minute

6.
a)

1/6 of a jug

7.
c)

30 meters per second

8.
a)

2 cups

9.
b)

1/15 of a classroom per minute

, d)

15 minutes per classroom

10.
a)

1/6 gallons per day

FAQs

What does the Unit Rate Word Problems with Fractions worksheet cover?

This Grade 7 worksheet helps students find and interpret unit rates by dividing fractional quantities by fractional or whole-number amounts of time. Its 10 real-world problems use nine multiple-choice questions and one multiple-select question, requiring students to identify rates such as 125 meters per minute, 1/6 gallons per day, or 15 minutes per classroom and match each answer to the correct units.

How can I use this worksheet to teach unit rates with fractions?

Begin by modeling one problem, such as finding products per second when a clerk scans one product every 1/2 second, and emphasize that the answer must be expressed as products per second. Then have students solve related problems involving fractional times and quantities, such as swimming, bamboo growth, or milk consumption. Ask students to explain whether their result describes a quantity per unit or the reciprocal units, especially before they complete the multiple-select janitor problem.

What mistakes should I watch for when students solve these fractional unit-rate problems?

Students may choose the reciprocal rate, such as seconds per product instead of products per second, or report a correct number with the wrong units. They may also divide in the wrong order when finding rates such as 2/3 of a jug in 4 weeks or 1/3 of a classroom in 5 minutes. On the multiple-select item, check that students recognize both requested forms—1/15 of a classroom per minute and 15 minutes per classroom—rather than selecting only one.

How do I assign and grade this unit-rate worksheet?

The worksheet is available on Wayground as a printable PDF and as a digital quiz, and it includes a complete answer key for the 10 unit-rate questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the fractional values, units, and answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the unit-rate word problems into another language while preserving the worksheet’s multiple-choice and multiple-select format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.