What tools are needed for practical geometry in Class 6?

You need a ruler (straightedge) for drawing straight lines, a compass for drawing arcs and circles, a protractor for measuring angles, and a divider for comparing lengths. A sharp pencil is essential for accuracy.

How do you construct a 60 degree angle with a compass?

Draw a ray OA. With O as centre, draw an arc cutting OA at point B. With the same radius and B as centre, draw an arc cutting the first arc at point C. Join OC. Angle BOC is 60 degrees because OB = BC = OC forms an equilateral triangle.

Why should construction arcs not be erased?

Construction arcs show the examiner that you used the correct geometric method. Erasing them makes it look like you drew the figure freehand. In CBSE exams, marks are given for showing proper construction steps.

Worksheets

Practical Geometry Class 6 CBSE Worksheet Free PDF Download with Answers

Learn to construct line segments, angles, perpendiculars and simple shapes using ruler, compass and protractor. 60 questions with step-by-step solutions.

CBSEClass 6

SparkEd Team · Reviewed by Vivek Verma4 April 20267 min read

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

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Class 6 Maths Worksheet — Free PDF with Answers

This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. Whether you searched for a maths class 6 worksheet or a worksheet math class 6 resource, you have landed in the right place. SparkEd's Class 6 maths practice covers the full CBSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

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Why Constructions Matter

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. Practical geometry is maths you can touch. Instead of just calculating, you pick up a compass and ruler and actually draw precise geometric figures. This builds a kind of understanding that formulas alone cannot.

When you construct a perpendicular bisector, you *see* why every point on it is equidistant from the two endpoints. When you bisect an angle, you understand symmetry in a hands-on way.

In exams, construction questions carry good marks and are often easier than calculation questions if you have practised. This Practical Geometry Class 6 worksheet prepares you with 60 questions covering every construction in the NCERT syllabus.

Beyond this worksheet, SparkEd offers interactive online practice for Practical Geometry with step-by-step solutions and progress tracking — perfect for daily revision.

What Does This Worksheet Cover?

Aligned with the NCERT Class 6 Practical Geometry chapter:

- Drawing a line segment of a given length using ruler and compass
- Constructing a copy of a given line segment
- Perpendicular to a line through a point on it and through a point not on it
- Perpendicular bisector of a line segment
- Constructing angles — 30, 45, 60, 90, 120 degrees using compass
- Bisecting an angle
- Constructing angles using a protractor
- Identifying geometric tools and their uses

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Tool identification, basic line segment and angle constructions | 20 |
| Level 2 | Perpendiculars, bisectors, specific angle constructions | 20 |
| Level 3 | Combination constructions, reasoning about steps, exam-style | 20 |

Sample Questions

Level 1 — Warm Up

Draw a line segment PQ of length 6.3 cm using a ruler and compass.
Using a protractor, construct an angle of 75 degrees.
Name the geometric tool used to draw a circle.

Level 2 — Build Confidence

Draw a line segment AB = 8 cm. Construct its perpendicular bisector using only a compass and straightedge.
Construct an angle of 60 degrees using a compass. Then bisect it to get 30 degrees.
Draw a line $l$ and a point P on it. Construct a perpendicular to $l$ at P.

Level 3 — Push Yourself

Construct an angle of 45 degrees without using a protractor. (Hint: start with 90, then bisect.)
Draw a line segment of length 10 cm. Divide it into 4 equal parts using only a compass and ruler.
Construct an angle of 135 degrees using a compass. Write down each step clearly.

Tips for Perfect Constructions

1. Keep your compass tight. If the compass slips, your arcs will be wrong and the construction fails. Tighten the screw before starting. 2. Use a sharp pencil in the compass. A thick pencil lead creates fuzzy arcs. Sharp lead gives precise intersection points. 3. Do not erase construction arcs. In exams, you must show all arcs and construction lines. They prove you used the correct method. Erasing them can cost marks. 4. Label every point immediately. As soon as you mark a point, label it (A, B, P, Q, etc.). This prevents confusion later. 5. Know your angle building blocks. With a compass, you can directly construct 60 degrees (equilateral triangle arc). From there: bisect to get 30, construct 90 using perpendicular, bisect 90 to get 45, and so on.

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Get the complete Practical Geometry worksheet with 60 questions and illustrated answers.

Download here: Practical Geometry Class 6 Worksheet

Practice online: Practical Geometry — Online Practice

Related Worksheets

More geometry practice:

- Symmetry Class 6 Worksheet — lines of symmetry connect to bisectors
- Mensuration Class 6 Worksheet — measure the shapes you construct
- Algebra Class 6 Worksheet — algebraic thinking meets geometry

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