Class 6 Maths - CBSE

Playing with Constructions

The chapter 'Playing with Constructions' in Class 6 Mathematics introduces students to the fascinating world of geometric drawing using basic tools like the ruler, compass, divider, set-squares, and protractor. Students learn step-by-step methods to accurately draw fundamental geometrical shapes, including circles with given radii, line segments of exact lengths, perpendicular bisectors, and various angles. Mastering these construction techniques builds a strong foundation for advanced geometry in higher classes. For CBSE board exams, this chapter is crucial as it tests precision, neatness, and the ability to follow logical steps in drawing exact geometrical figures.

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Key Concepts

Circle Construction

Drawing a closed curve where every point is at a fixed distance (radius) from a fixed point (center) using a compass.

Line Segment Measurement

Using a ruler and compass together to accurately draw or copy a line segment of a specific given length.

Perpendicular Bisector

Constructing a line that divides a given line segment into two equal halves at a 90-degree right angle.

Angle Bisector

Using a compass to divide any given angle into two exact, equal halves.

Standard Angles

Constructing specific angles like 60 degrees, 120 degrees, and 90 degrees using only a ruler and compass without a protractor.

Important Formulas

Diameter = 2 × Radius (d = 2r)
Radius = Diameter ÷ 2 (r = d / 2)

Board Exam Info

In CBSE Class 6 Mathematics exams, construction questions typically carry around 4 to 6 marks. Common question types include drawing a circle of a given radius, constructing line segments, bisecting angles or line segments, and drawing specific angles using a compass.

Frequently Asked Questions

Can I use a gel pen for geometrical constructions?

No, you must always use a sharp pencil for all constructions in geometry to ensure accuracy and neatness.

Why is the compass pencil tip important?

The pencil tip in your compass must be adjusted so that it is exactly level with the metal pointer for accurate measurements.

Do I always need a protractor to draw angles?

Not always. Standard angles like 60°, 120°, 90°, and 30° can be constructed precisely using just a ruler and compass.

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