Free Printable WorksheetMathGrade 6Math Curriculum6.7

6.7 Compare Ratios in Context Worksheet

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Q: What grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.7 (Compare Ratios in Context).

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.7 Compare Ratios in Context. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly compares the two ratios and identifies which is greater (or whether they are equal)? (CCSS 6.RP.A.3a; CA 6.RP.A.3a; MA 6.RP.A.3a; NY NY-6.RP.3a; TX 19 TAC §111.26(b)(5)(A); FL MA.6.AR.3.3; VA 6.PFA.1e-f)

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 6

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 6.7 Compare Ratios in Context skill assessments:

Problem 1Difficulty: Mastery

Two ponds are stocked with fish. Pond A adds 36 fish over 9 weeks. Pond B adds 55 fish over 14 weeks. Compare fish:weeks. Ratio 1: 36 fish to 9 weeks. Ratio 2: 55 fish to 14 weeks. Which answer choice correctly compares the two ratios?

ARatio 1 is less than Ratio 2.

BRatio 1 is equal to Ratio 2.

CThe ratios cannot be compared.

DRatio 1 is greater than Ratio 2.

Solution & Explanation:Unit rates: 36 divided by 9 = 4 fish per week and 55 divided by 14 is about 3.93 fish per week. Ratio 1 is greater than Ratio 2.

Problem 2Difficulty: Mastery

A library spends $84 to buy 12 new books. Another library spends $150 to buy 22 new books. Compare books:dollars (books per dollar). Ratio 1: 12 books to $84. Ratio 2: 22 books to $150. Which answer choice correctly compares the two ratios?

ARatio 1 is greater than Ratio 2.

BRatio 1 is equal to Ratio 2.

CRatio 1 is less than Ratio 2.

DThe ratios cannot be compared.

Solution & Explanation:Compare 12 to 84 and 22 to 150 by cross-multiplying: 12×150 = 1800 and 22×84 = 1848. Since 1800 < 1848, Ratio 1 is less than Ratio 2.

Problem 3Difficulty: Mastery

A field trip group has 14 adults and 49 students. Another group has 12 adults and 36 students. Compare adults:students. Ratio 1: 14 adults to 49 students. Ratio 2: 12 adults to 36 students. Which answer choice correctly compares the two ratios?

ARatio 1 is greater than Ratio 2.

BRatio 1 is less than Ratio 2.

CRatio 1 is equal to Ratio 2.

DThe ratios cannot be compared.

Solution & Explanation:Simplify: 14 to 49 becomes 2 to 7, and 12 to 36 becomes 1 to 3. Cross-multiply: 2×3 = 6 and 1×7 = 7. Ratio 1 is less than Ratio 2.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 6.7 Compare Ratios in Context worksheet?

Click either the "Download PDF" or "Download DOCX" button at the top of the page. You can print the PDF directly from your browser or edit the DOCX file in Microsoft Word or Google Docs to tailor the questions to your students.

QIs this 6.7 Compare Ratios in Context worksheet free for teachers and homeschoolers?

Yes! All learning materials, worksheets, and practice resources on Free K12 Practice are 100% free for teachers, students, parents, tutors, and homeschooling families for non-commercial educational use. No account or subscription is required.

QCan students practice 6.7 Compare Ratios in Context online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 6.7 Compare Ratios in Context interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.