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Chapter 8 of 10
Syllabus

Playing with Constructions — Syllabus

CBSE · Class 6 · Mathematics

What Playing with Constructions covers in CBSE Class 6 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 6 Mathematics syllabus.

41 questions60 flashcards10 formulas & key relations5 concepts

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4 Topics · CBSE Class 6 Mathematics · 2026-27

Topics in Playing with Constructions

1

1. Compass, Circle, and Radius

  • A compass can be used to construct circles and their parts.
  • A point 4 cm from P, when the compass is opened to a fixed distance and rotated about P, traces a circle.
  • All the points of a circle are at the same distance from its centre.
2

2. Squares and Rectangles

  • A rectangle has opposite sides equal and all angles 90°.
  • A square has all sides equal and all angles 90°.
  • The blue sides AB and CD in rectangle ABCD are opposite sides because they lie opposite each other.
3

3. Constructing Squares and Rectangles

  • A square of side 6 cm can be constructed using a ruler and compass.
  • A rectangle can be constructed if the lengths of its sides are given.
  • A rectangle can also be constructed if one side and one diagonal are given.
4

4. Rectangles Made of Squares

  • A rectangle can be divided into two identical squares.
  • If two identical squares form a rectangle, then all the shorter lines are equal.
  • In such a figure, AF = AB = BE = FE and BE = BC = CD = ED.

Key Concepts

Central concept: Geometric constructions using a compass and ruler

CurvesCircleCompassRulerSquareRectangleRectangle constructionBreaking a rectangle

Work through every topic in Playing with Constructions with notes and quizzes

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Frequently Asked Questions

What are the important topics in Playing with Constructions for CBSE Class 6 Mathematics?
Key topics in Playing with Constructions include Compass, Circle, and Radius, Squares and Rectangles, Constructing Squares and Rectangles, Rectangles Made of Squares. Study these first, then practise questions on each for Class 6 exams.
How should I revise Playing with Constructions for Class 6 exams?
Learn the core ideas first, then work through the 41 practice questions on Playing with Constructions. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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