Free Printable WorksheetMathGrade 6Math Curriculum6.RP.A.3a

6.11 Use Tape Diagrams and Double Number Lines for Ratio Reasoning Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.11 Use Tape Diagrams and Double Number Lines for Ratio Reasoning. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which model (tape diagram or double number line) correctly represents the situation and leads to the correct missing value? (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 6.11 Use Tape Diagrams and Double Number Lines for Ratio Reasoning skill assessments:

Problem 1Difficulty: Mastery

A community clean-up team tracks two supplies. The ratio of trash bags to recycling bags is 22:35. There are 44 trash bags. Which model correctly represents the situation and gives the number of recycling bags?

ADouble number line: use scale factor 3 from the basic ratio, so the missing number of recycling bags is 105.

BTape diagram: add 22 to the target ratio number 35, so the missing number of recycling bags is 57.

CTape diagram: combine all 57 ratio units and report 114 as the missing number of recycling bags.

DTape diagram: the trash bags part has 22 equal units totaling 44, so 1 unit is 2; the recycling bags part has 35 units, so the missing number is 70.

Solution & Explanation:The ratio trash bags:recycling bags is 22:35. The given trash bags value 44 is 22 times 2, so the scale factor is 2. Multiply the target ratio number 35 by 2 to get 70 recycling bags.

Problem 2Difficulty: Mastery

A language club prepares flashcards in two categories. A double number line starts with 16 vocabulary cards lined up with 29 grammar cards. It also needs a mark for 116 grammar cards. Which model correctly represents the situation and gives the number of vocabulary cards?

ADouble number line: use scale factor 5 from the basic ratio, so the missing number of vocabulary cards is 80.

BTape diagram: add 87 to the target ratio number 16, so the missing number of vocabulary cards is 103.

CDouble number line: vocabulary cards 0, 16, 64 line up with grammar cards 0, 29, 116; the missing number of vocabulary cards is 64.

DTape diagram: combine all 45 ratio units and report 180 as the missing number of vocabulary cards.

Solution & Explanation:The ratio vocabulary cards:grammar cards is 16:29. The given grammar cards value 116 is 29 times 4, so the scale factor is 4. Multiply the target ratio number 16 by 4 to get 64 vocabulary cards.

Problem 3Difficulty: Mastery

A maker club sorts fasteners for project kits. A tape diagram uses 21 equal units for bolts and 26 equal units for washers. The bolts strip totals 63. Which model correctly represents the situation and gives the number of washers?

ADouble number line: use scale factor 4 from the basic ratio, so the missing number of washers is 104.

BTape diagram: the bolts part has 21 equal units totaling 63, so 1 unit is 3; the washers part has 26 units, so the missing number is 78.

CTape diagram: add 42 to the target ratio number 26, so the missing number of washers is 68.

DTape diagram: combine all 47 ratio units and report 141 as the missing number of washers.

Solution & Explanation:The ratio bolts:washers is 21:26. The given bolts value 63 is 21 times 3, so the scale factor is 3. Multiply the target ratio number 26 by 3 to get 78 washers.

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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.RP.A.3a (Use Tape Diagrams and Double Number Lines for Ratio Reasoning).