Chapter Exam

Chapter-8 Playing with Constructions — Online MCQ Test

Q: Which instrument is used to draw circles and arcs in geometric constructions?

Answer: B. Compass — A compass is the primary instrument designed to draw circles and arcs by maintaining a fixed distance from a center point.

Q: What is the primary function of a ruler in geometric constructions?

Answer: B. To draw straight lines and measure distances — A ruler is used to draw straight lines between two points and to measure linear distances in constructions.

MATHS · Grade 6 · CBSE(NCERT)

Practice Chapter-8 Playing with Constructions with a free chapter-wise online MCQ test for CBSE(NCERT) Grade 6 MATHS. This chapter covers: compass - ruler - angle bisector - perpendicular - circle construction - arc. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-8 Playing with Constructions — Important Questions & Answers (FAQ)

Frequently asked questions from CBSE(NCERT) Grade 6 MATHS — Chapter-8 Playing with Constructions, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which instrument is used to draw circles and arcs in geometric constructions?

A. Ruler
B. Compass ✓
C. Protractor
D. Set square

Answer: B. Compass
A compass is the primary instrument designed to draw circles and arcs by maintaining a fixed distance from a center point.

What is the primary function of a ruler in geometric constructions?

A. To measure angles
B. To draw straight lines and measure distances ✓
C. To draw circles
D. To bisect angles

Answer: B. To draw straight lines and measure distances
A ruler is used to draw straight lines between two points and to measure linear distances in constructions.

To construct an angle bisector of a 60° angle, which of the following steps is necessary?

A. Draw one arc from the vertex
B. Draw two arcs from the vertex intersecting the angle's sides, then draw arcs from those points ✓
C. Only use the ruler
D. Measure exactly 30° with a protractor

Answer: B. Draw two arcs from the vertex intersecting the angle's sides, then draw arcs from those points
To bisect an angle using compass and ruler, you draw arcs from the vertex, then from the intersection points, creating the bisector line.

If you construct a perpendicular bisector of a line segment, what is true about any point on this bisector?

A. It is closer to one endpoint than the other
B. It is equidistant from both endpoints of the segment ✓
C. It lies on the original line segment
D. It is always at 45° to the segment

Answer: B. It is equidistant from both endpoints of the segment
A key property of the perpendicular bisector is that every point on it is equidistant from the two endpoints of the original segment.

Which of the following statements about compass and ruler constructions is INCORRECT?

A. They are based on geometric principles rather than measurements
B. They require precise angle measurements with a protractor for accuracy ✓
C. They can create perpendiculars, bisectors, and circles
D. They rely on the intersection of arcs and straight lines

Answer: B. They require precise angle measurements with a protractor for accuracy
Compass and ruler constructions do NOT rely on protractor measurements; they use geometric principles and arc intersections to create accurate figures.