Free Printable WorksheetMathGrade 6Math Curriculum6.5

6.5 Generate Equivalent Ratios and Verify Equivalence Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.5 Generate Equivalent Ratios and Verify Equivalence. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice gives an equivalent ratio and shows that both terms were scaled by the same factor? (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 6.5 Generate Equivalent Ratios and Verify Equivalence skill assessments:

Problem 1Difficulty: Mastery

At the robotics club, Elena compares apples to oranges. The original ratio is 840:1260. Which choice gives an equivalent ratio and shows BOTH terms scaled by the SAME factor?

A2:3 because 840 ÷ 420 = 2 and 1260 ÷ 420 = 3

B8:60 because 840 ÷ 105 = 8 and 1260 ÷ 21 = 60

C30:20 because 840 ÷ 28 = 30 and 1260 ÷ 63 = 20

D40:10 because 840 ÷ 21 = 40 and 1260 ÷ 126 = 10

Solution & Explanation:To keep ratios equivalent, divide both terms by the same number. Dividing by 420 gives 840 ÷ 420 = 2 and 1260 ÷ 420 = 3.

Problem 2Difficulty: Mastery

At the movie theater, Noah records a ratio of soda cans to water bottles. The original ratio is 612:918. Which choice gives an equivalent ratio and shows BOTH terms scaled by the SAME factor?

A34:3 because 612 ÷ 18 = 34 and 918 ÷ 306 = 3

B18:17 because 612 ÷ 34 = 18 and 918 ÷ 54 = 17

C9:306 because 612 ÷ 68 = 9 and 918 ÷ 3 = 306

D2:3 because 612 ÷ 306 = 2 and 918 ÷ 306 = 3

Solution & Explanation:To keep ratios equivalent, divide both terms by the same number. Dividing by 306 gives 612 ÷ 306 = 2 and 918 ÷ 306 = 3.

Problem 3Difficulty: Mastery

At the music room, Ava compares pumpkins to crates. The original ratio is 588:756. Which choice gives an equivalent ratio and shows BOTH terms scaled by the SAME factor?

A7:108 because 588 ÷ 84 = 7 and 756 ÷ 7 = 108

B7:9 because 588 ÷ 84 = 7 and 756 ÷ 84 = 9

C196:6 because 588 ÷ 3 = 196 and 756 ÷ 126 = 6

D12:2 because 588 ÷ 49 = 12 and 756 ÷ 378 = 2

Solution & Explanation:To keep ratios equivalent, divide both terms by the same number. Dividing by 84 gives 588 ÷ 84 = 7 and 756 ÷ 84 = 9.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.5 (Generate Equivalent Ratios and Verify Equivalence).