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Class 2 Maths: Composing and Decomposing Rectangles Worksheets

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How do you compose and break rectangles into smaller shapes?

Explore how to build and break apart rectangles with this Class 2 Maths Composing Decomposing Rectangles worksheet. Young learners will discover how large rectangles can be made from small squares or split into new shapes, making geometry clear and fun.


Practice important geometry for kids skills by drawing, coloring, and matching rectangles and squares. These activities help students understand shape composition, spatial reasoning, and basic area—all using age-appropriate visuals and clear instructions.


Designed for grade 2, this worksheet fits perfectly into your maths practice routine, supporting both classroom lessons and homework for CBSE or NCERT chapters.

How This Worksheet Helps You Learn?

Class 2 Maths Composing and Decomposing Rectangles worksheets are designed to help young learners build and break apart rectangles using smaller shapes. This printable worksheet boosts students’ spatial reasoning by letting them explore how rectangles can be formed, partitioned, and understood visually. As a grade 2 geometry PDF practice sheet, it offers visual tasks and easy exercises to lay a strong foundation for shape composition and early area concepts.

With engaging activities for class 2 maths, this composing and decomposing rectangles worksheet encourages children to draw, color, and match shapes. These exercises support concept mastery in geometry for kids and help make learning hands-on and fun. Use this free PDF worksheet to make classroom lessons and homework more interactive.


Usage Tips for Parents and Teachers

  • Print the worksheet and let students color or draw as they compose and decompose rectangles.
  • Encourage group activities by having children compare their answers and explain their thinking process.
  • Use the practice sheet as a quick geometry warm-up before a new lesson.
  • Review the included answer key together to reinforce spatial reasoning and correct misconceptions.

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What You Learned

This page offers a focused class 2 maths composing and decomposing rectangles printable worksheet designed to reinforce understanding of how rectangles are made and partitioned. Students learn to build new shapes and break down rectangles into smaller pieces, supporting key geometry concepts and spatial skills. With variety in activities and examples, the PDF practice sheet is a helpful tool for visual math learning in grade 2. It is crafted to be clear, fun, and easy to use for both home and school practice.

FAQs on Class 2 Maths: Composing and Decomposing Rectangles Worksheets

1. What is composing and decomposing shapes?

Composing and decomposing shapes is the process of putting smaller shapes together to make a larger one or breaking a larger shape down into smaller pieces. This is a key concept in grade 2 geometry.

  • Composing shapes means joining simple shapes like squares and triangles to build a larger shape, such as a rectangle.
  • Decomposing shapes means breaking down or partitioning a complex shape into its smaller, basic components.

2. How to decompose a rectangle?

Decomposing a rectangle means dividing or partitioning it into smaller shapes, which are usually squares or other smaller rectangles. This is a foundational skill for understanding area.

  • First, you draw one or more lines (either vertical or horizontal) inside the large rectangle.
  • This action breaks the rectangle into several smaller, non-overlapping sections.
  • For example, you can decompose a rectangle into two equal squares or four smaller rectangular parts, which introduces the idea of rectangular arrays.

3. What is decomposing in math 2nd grade?

In 2nd-grade math, decomposing means breaking numbers or shapes down into smaller, simpler parts to make them easier to work with. It is a fundamental strategy for problem-solving.

  • For shapes, it involves dividing a shape like a rectangle into smaller squares or triangles, a core part of the geometry for kids curriculum.
  • For numbers, it means breaking a number into its place values (e.g., the number 36 can be decomposed into 30 + 6).
  • This skill helps build strong mathematical thinking and flexibility in solving problems.

4. How to decompose shapes grade 2?

In Grade 2, students learn to decompose shapes by visually splitting them into smaller, more familiar geometric forms using hands-on methods. These activities help improve spatial reasoning.

  • Partitioning Rectangles: Students draw lines to divide a rectangle into equal squares or smaller rectangles.
  • Using Tiles: Children can use small square tiles to fill a larger rectangle to see how many smaller units make up the whole.
  • Splitting Composite Shapes: They learn to break down more complex shapes (like an 'L' shape) into simple rectangles.

5. How can I use this worksheet at home?

This Class 2 Maths worksheet is designed for easy use at home to provide extra practice and reinforce what is taught in the classroom. It serves as an excellent tool for homework or holiday revision.

  • First, print the worksheet for a hands-on, screen-free activity.
  • Sit with your child and read the instructions for each exercise.
  • Use the solved examples to explain the task of composing or decomposing rectangles.
  • Encourage your child to use crayons for coloring activities, making learning more engaging and fun.

6. Is this worksheet printable?

Yes, this worksheet is designed as a free, printable PDF, making it easily accessible for practice at home or in the classroom. The format is optimised for printing.

  • You can download the free PDF file with a single click.
  • The layout is set for standard A4 paper, ensuring no formatting issues.
  • It is a perfect practice worksheet for second-grade math students to strengthen their geometry skills.

7. What skills are built by this activity?

This composing and decomposing activity builds critical foundational skills in geometry, spatial awareness, and mathematical reasoning for young learners.

  • Spatial Reasoning: It helps children understand how shapes fit together and can be broken apart.
  • Early Area Concepts: Students visualise that a larger shape's area is the sum of its smaller parts, a precursor to learning the formula for area.
  • Problem-Solving: The worksheet encourages finding different ways to compose or decompose a given rectangle.
  • Visual Math Skills: It strengthens the ability to solve problems using visual information.

8. What age group is it best for?

This worksheet is specifically designed for students in Grade 2, which typically includes children who are 7 to 8 years old. The content and activities are tailored to their learning level.

  • The topic aligns with the standard geometry curriculum for second-grade math.
  • The activities, such as drawing, matching, and coloring, are age-appropriate and designed to keep young learners engaged.
  • The large fonts and clear layout make it easy for early elementary students to read and understand.

9. Does this include an answer key?

Yes, this worksheet with answers is available to help parents and teachers quickly and accurately check the solutions. The answer key makes it easy to guide students.

  • An answer key allows for immediate feedback, helping to correct any misunderstandings.
  • It provides a clear visual reference of how rectangles can be correctly composed from smaller shapes or decomposed into parts.
  • This helps ensure that the learning objectives of the worksheet are met effectively.

10. How does this worksheet reinforce concept retention?

This worksheet uses a combination of visual and interactive exercises to reinforce the concept of composing and decomposing rectangles, which leads to better long-term retention of the topic.

  • Visual Practice: Activities like coloring and drawing help solidify abstract geometry concepts for young learners.
  • Concept Reinforcement: By repeatedly performing tasks of building and breaking down shapes, the concept becomes more intuitive.
  • Hands-on Learning: The physical act of drawing lines to partition shapes actively engages the brain and improves memory of the process.