Free Printable WorksheetMathGrade 5Math Curriculum5.14b

5.144 Combine and Subdivide Polygons Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 5 Math worksheet provides structured practice on 5.144 Combine and Subdivide Polygons. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Skill description: Select the correct answer for investigate the results of combining polygons to form new figures and subdividing polygons into smaller parts, and identify how area or perimeter might change. Choose the plotted point, coordinate pair, or transformation result that matches the given description. Corresponding standards: VA 5.14b.

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 5

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 5.144 Combine and Subdivide Polygons skill assessments:

Problem 1Difficulty: Mastery
Which statement is always true when polygons are combined without overlap?
AThe combined area is the sum of the part areas, but perimeter depends on shared sides
BThe combined perimeter is always the sum of the part perimeters
CThe combined area is always smaller than each part area
DSubdividing and combining always change total area
Solution & Explanation:Areas add when there is no overlap. Perimeter depends on the outside boundary, so shared sides are not counted on the combined perimeter.
Problem 2Difficulty: Mastery
Five 2-by-2 squares are joined in a straight row to make a 10-by-2 rectangle. What is the perimeter of the combined figure in units?
Solution & Explanation:The combined rectangle is 10 by 2. Its perimeter is 10 + 2 + 10 + 2 = 24 units.
Problem 3Difficulty: Mastery
A polygon with perimeter 38 units is cut into 4 pieces by three non-overlapping straight cuts with lengths 4 units, 5 units, and 6 units. What is the sum of the perimeters of the 4 pieces?
A53 units
B60 units
C68 units
D76 units
Solution & Explanation:The total cut length is 4 + 5 + 6 = 15 units. Each cut is counted twice, so add 30 to the original perimeter: 38 + 30 = 68 units.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 5.144 Combine and Subdivide Polygons worksheet?

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QIs this 5.144 Combine and Subdivide Polygons worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 5 Math students. It aligns with educational standard 5.14b (Primary standard selected for prompt fields in this prompt cell: VA 5.14b. Skill statement in this prompt cell: Select the correct answer for investigate the results of combining polygons to form new figures and subdividing polygons into smaller parts, and identify how area or perimeter might change. Choose the plotted point, coordinate pair, or transformation result that matches the given description. Associated standards listed with this skill in this prompt cell: VA 5.14b. Use this prompt-provided wording as the supporting standard description for this workflow.).

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