Free Printable WorksheetMathGrade 7Math Curriculum7.6

7.6 Ratio, rate, and proportion word problems Worksheet

Download our free printable Grade 7 Math worksheet on 7.6 Ratio, rate, and proportion word problems. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 7 Math worksheet provides structured practice on 7.6 Ratio, rate, and proportion word problems. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

7.6 Ratio, rate, and proportion word problems - In multiple-choice items, students choose the correct solution and strategy description for ratio and rate word problems. (CCSS 7.RP.A.3; CA 7.RP.3; MA 7.RP.3; NY 7.RP.3; FL MA.7.AR.3.2; TX 7.4(D); VA 7.CE.2)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 7

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 7.6 Ratio, rate, and proportion word problems skill assessments:

Problem 1Difficulty: Mastery

Machine A can fill a tank in 12 hours. Machine B can fill the same tank in 8 hours. If both machines run together at the same time, about how long will it take to fill the tank? Which choice gives the correct time AND a good strategy?

A10 hours; Average the times.

B20 hours; Add the times.

C-24 hours; Subtract the rates instead of adding them.

D4.8 hours; Add the fill rates (tanks per hour), then take the reciprocal to get time.

Solution & Explanation:Rate of A = 1 tank ÷ 12 hr = 1/12 tank per hr. Rate of B = 1/8 tank per hr. Together: 1/12 + 1/8 = 0.208 tank per hr. Time = 1 ÷ (0.208) = 4.8 hr (about).

Problem 2Difficulty: Mastery

A punch mixture is made by mixing 30% juice with 15% juice. You want 18 liters of 20% juice. How many liters of the 30% juice are needed? Which choice gives the correct amount AND a good strategy?

A6 liters; Let x be liters of 30%, then use a weighted-percent equation to solve.

B12 liters; Use the other amount by mistake.

C3.6 liters; Take 20% of 18 and call that the amount of 30%.

D2.7 liters; Subtract percents and multiply by the total.

Solution & Explanation:Let x = liters of 30% juice. Then 30% of x plus 15% of (18−x) must equal 20% of 18. 0.3x + 0.15(18−x) = 0.2·18. Solving gives x = 6 liters.

Problem 3Difficulty: Mastery

A jar has red and blue marbles. After adding 12 red marbles, the ratio of red to blue becomes 3:2. If there are 24 blue marbles, how many red marbles were in the jar originally? Which choice gives the correct original number AND a good strategy?

A36; Find the new red count but forget to subtract the added marbles.

B24; Use the ratio 3:2 to find the new number of red marbles, then subtract the 12 added.

C4; Flip the ratio when finding the new red count.

D36; Add blue and the added red marbles.

Solution & Explanation:With ratio 3:2 and 24 blue marbles, each part = 24 ÷ 2 = 12. New red = 3 × 12 = 36. Original red = 36 − 12 = 24.

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Frequently Asked Questions

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Yes! In addition to this printable worksheet, students can practice 7.6 Ratio, rate, and proportion word problems interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 7 Math students. It aligns with educational standard 7.6 (Practice and review Grade 7 math skill 7.6: Ratio, rate, and Proportion Word Problems.).