Free Printable WorksheetMathGrade 6Math Curriculum6.4

6.4 Distinguish Part to Part and Part to Whole Ratios Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.4 Distinguish Part to Part and Part to Whole Ratios. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which statement correctly identifies whether the ratio is part-to-part or part-to-whole and interprets its meaning? (CCSS 6.RP.A.1; CA 6.RP.A.1; MA 6.RP.A.1; NY NY-6.RP.1; TX 19 TAC §111.26(b)(4)(C); FL MA.6.AR.3.1; VA 6.PFA.1a-d)

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 6.4 Distinguish Part to Part and Part to Whole Ratios skill assessments:

Problem 1Difficulty: Mastery

At the lunch table, a collection has 63 puzzle pieces in all. A label says the ratio of middle pieces to all puzzle pieces is 4:9. What does the ratio 4:9 describe? Select the statement that correctly describes the ratio and what it compares.

APart-to-part; it compares middle pieces to puzzle pieces that are not middle pieces. It means for every 4 middle pieces, there are 9 puzzle pieces that are not middle pieces.

BPart-to-whole; it compares middle pieces to all puzzle pieces. It means out of 4 puzzle pieces, 9 are middle pieces.

CPart-to-whole; it compares middle pieces to all puzzle pieces. It means out of 9 puzzle pieces, 4 are middle pieces.

DPart-to-part; it compares middle pieces to puzzle pieces. It means for every 4 middle pieces, there are 9 puzzle pieces.

Solution & Explanation:Because the ratio is written as middle pieces to all puzzle pieces, it is part-to-whole. 4:9 means 4 out of every 9 puzzle pieces are middle pieces.

Problem 2Difficulty: Mastery

In a jar on the counter, a collection has 24 apples in all. A label says the ratio of green apples to all apples is 3:6. What does the ratio 3:6 describe? Choose the option that names the ratio type (part-to-part or part-to-whole) and interprets the ratio.

APart-to-whole; it compares green apples to all apples. It means out of 6 apples, 3 are green apples.

BPart-to-part; it compares green apples to apples that are not green apples. It means for every 3 green apples, there are 6 apples that are not green apples.

CPart-to-whole; it compares green apples to all apples. It means out of 3 apples, 6 are green apples.

DPart-to-part; it compares green apples to apples. It means for every 3 green apples, there are 6 apples.

Solution & Explanation:Because the ratio is written as green apples to all apples, it is part-to-whole. 3:6 means 3 out of every 6 apples are green apples.

Problem 3Difficulty: Mastery

At the school store, there are 18 roses, 21 tulips, and 8 sunflowers. Consider the ratio of (roses and tulips) to all flowers. The ratio is 39:47. Choose the option that names the ratio type (part-to-part or part-to-whole) and interprets the ratio.

APart-to-part; it compares roses and tulips to sunflowers. It means for every 39 roses and tulips, there are 47 sunflowers.

BPart-to-whole; it compares roses and tulips to all flowers. It means out of 39 flowers, 47 are roses and tulips.

CPart-to-part; it compares roses to tulips. It means for every 39 roses, there are 47 tulips.

DPart-to-whole; it compares roses and tulips to all flowers. It means out of 47 flowers, 39 are roses and tulips.

Solution & Explanation:The ratio compares a combined part (roses and tulips) to the whole group of flowers, so it is part-to-whole. 39:47 means 39 out of every 47 flowers are roses or tulips.

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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 6.4 (Distinguish Part-to-Part and Part-to-Whole Ratios).