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Class 7 Mathematics Chapter 6: Constructions and Tilings — practice questions with answers

Free practice for Class 7 Mathematics, Chapter 6: Constructions and Tilings. Try the solved questions below, then take a free test with instant marking and explanations.

27 questions8 easy, 14 medium, 5 hardNCERT · CBSE · State boards

Sample questions with solutions

Q1. Dividing a line segment or an angle into two identical parts is called ______.
Show answer
Answer: bisection
Why: A division into two identical parts is bisection. [p.137, p.163]
Q2. Arcs of equal radius drawn from X and Y meet at A (above) and B (below). What is the line AB?
  1. The perpendicular bisector of XY
  2. A line parallel to XY
  3. An angle bisector
  4. A radius
Show answer
Answer: A. The perpendicular bisector of XY
Why: AB passes through the midpoint of XY and is perpendicular to it. [p.137]
Q3. Which tools are used for the geometric constructions in this chapter?
  1. An unmarked ruler and a compass
  2. A protractor and set square
  3. A marked scale only
  4. A calculator
Show answer
Answer: A. An unmarked ruler and a compass
Why: The perpendicular bisector and other constructions need only an unmarked ruler and a compass. [p.140]
Q4. A design has 8 equal angles around a point. What is each angle (degrees)?
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Answer: 45 (± 0)
Why: 360° ÷ 8 = 45°. [p.143]
Q5. How many equilateral triangles fit around a point without gaps or overlaps?
Show answer
Answer: 6 (± 0)
Why: 360 ÷ 60 = 6. [p.152]
Q6. Covering a region with shapes without gaps or overlaps is called ______.
Show answer
Answer: tiling
Why: This is tiling. [p.157]

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Frequently asked questions

How many practice questions are there for Class 7 Mathematics Chapter 6: Constructions and Tilings?

27 questions (8 easy, 14 medium, 5 hard). A few are solved on this page; the free test shows the answer and explanation for every question after you submit.

Is this chapter from the NCERT book?

Yes — it follows the NCERT Class 7 Mathematics syllabus, used by CBSE and many state boards.

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