Free Printable WorksheetMathGrade 3Math Curriculum2.G.A.1 (foundation)

3.118 Composing and Decomposing Shapes Worksheet

Download our free printable Grade 3 Math worksheet on 3.118 Composing and Decomposing Shapes. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

Choose your preferred download format:

100% Free • No registration or login required • Instant file access

Prefer interactive practice with instant grading and explanations?Practice Composing and Decomposing Shapes Online

Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 3 Math worksheet provides structured practice on 3.118 Composing and Decomposing Shapes. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Select the composed shape formed from given parts or choose how a shape can be decomposed into given pieces. (CCSS 2.G.A.1 (foundation); CCSS MP7)

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 3

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 3.118 Composing and Decomposing Shapes skill assessments:

Problem 1Difficulty: Mastery
Look at the diagram. A rectangle is decomposed into a 2-row by 2-column square block, a 2-row by 1-column rectangle, and another 2-row by 1-column rectangle. What larger rectangle do these pieces make when placed side by side as shown?
A2-row by 4-column rectangle
B3 by 3 square
C1-row by 6-column rectangle
D4 by 4 square
Solution & Explanation:The 2-row by 2-column block is 2 columns wide. Each 2-row by 1-column rectangle adds 1 more column at the same height. The total is 2 rows and 4 columns.
Problem 2Difficulty: Mastery
Look at the diagram. If a decomposed shape has 3 squares and 2 triangles, the outside shape must always be a rectangle.
ATrue
BFalse
Solution & Explanation:The same number and types of pieces can sometimes be arranged into different outside shapes. You must look at how the pieces are placed.
Problem 3Difficulty: Mastery
Look at the diagram. A target rectangle is made from one 3-row by 2-column rectangle and three 1-row by 2-column rectangles stacked to its right. What is the outside shape?
AA 3-row by 4-column rectangle
BA triangle
CA hexagon with a hole
DA circle
Solution & Explanation:The left piece is 3 rows tall and 2 columns wide. The three 1-row by 2-column rectangles stack to make another 3-row by 2-column block, so together the outside is a 3-row by 4-column rectangle.

Want more practice questions with step-by-step guidance?

Practice All Questions Online

Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this 3.118 Composing and Decomposing Shapes 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 3.118 Composing and Decomposing Shapes 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 3.118 Composing and Decomposing Shapes online with instant feedback?

Yes! In addition to this printable worksheet, students can practice 3.118 Composing and Decomposing Shapes interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 3 Math students. It aligns with educational standard 2.G.A.1 (foundation) (Primary standard selected for prompt fields in this prompt cell: CCSS 2.G.A.1 (foundation). Skill statement in this prompt cell: Select the composed shape formed from given parts or choose how a shape can be decomposed into given pieces. Associated standards listed with this skill in this prompt cell: CCSS 2.G.A.1 (foundation); CCSS MP7. Use this prompt-provided wording as the supporting standard description for this workflow.).

Related Grade 3 Math Resources

Continue learning with complementary skill worksheets and online practice