Class 6 Mathematics Chapter 8: Playing with Constructions — practice questions with answers
Free practice for Class 6 Mathematics, Chapter 8: Playing with Constructions. Try the solved questions below, then take a free test with instant marking and explanations.
30 questions11 easy, 11 medium, 8 hardNCERT · CBSE · State boards
Sample questions with solutions
Q1. What shape do you get when you mark ALL the points that are 4 cm away from a point P?
- A circle with centre P and radius 4 cm
- A square of side 4 cm
- A line 4 cm long
- A triangle
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Answer: A. A circle with centre P and radius 4 cm
Why: All points at the same distance from P form a circle; P is the centre and 4 cm is the radius. [p.188–189]
Why: All points at the same distance from P form a circle; P is the centre and 4 cm is the radius. [p.188–189]
Q2. The distance between the centre of a circle and any point on it is called the ______.
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Answer: radius
Why: The chapter names the centre P and the distance from the centre to the circle the radius. [p.189]
Why: The chapter names the centre P and the distance from the centre to the circle the radius. [p.189]
Q3. Every point on a circle is at the same distance from its centre.
True or false?
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Answer: True
Why: This equal distance is the radius — the key property used with a compass. [p.189, p.216]
Why: This equal distance is the radius — the key property used with a compass. [p.189, p.216]
Q4. To draw a circle of radius 4 cm with a compass, what must you do first?
- Open the compass against a ruler so the tip and pencil are 4 cm apart
- Draw a square of side 4 cm
- Mark 4 points
- Measure 8 cm
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Answer: A. Open the compass against a ruler so the tip and pencil are 4 cm apart
Why: Keep the compass point fixed at the centre and move only the pencil. [p.189]
Why: Keep the compass point fixed at the centre and move only the pencil. [p.189]
Q5. Which two properties does a rectangle have?
- Opposite sides are equal and all angles are 90°
- All sides are equal and angles are 60°
- Only one right angle
- Diagonals are always sides
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Answer: A. Opposite sides are equal and all angles are 90°
Why: R1: opposite sides equal; R2: all angles 90°. [p.193]
Why: R1: opposite sides equal; R2: all angles 90°. [p.193]
Q6. Which two properties does a square have?
- All sides are equal and all angles are 90°
- Opposite sides are equal and angles are 45°
- All sides are different
- Only two right angles
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Answer: A. All sides are equal and all angles are 90°
Why: S1: all sides equal; S2: all angles 90°. [p.193]
Why: S1: all sides equal; S2: all angles 90°. [p.193]
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Frequently asked questions
How many practice questions are there for Class 6 Mathematics Chapter 8: Playing with Constructions?
30 questions (11 easy, 11 medium, 8 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 6 Mathematics syllabus, used by CBSE and many state boards.