Playing with Constructions Class 6 CBSE Worksheet Free PDF Download with Answers

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.

Parents and teachers often look for a class 6 maths chapter 8 worksheet with answers — here you will find that and every other chapter too. Every class 6th maths worksheet is aligned to the latest NCERT pattern. Need a quick class 6th math formula sheet? Check out the Class 6 All Formulas guide.

Browse all class 6 maths worksheets cbse topics on the All Class 6 worksheets page.

Want to practise constructions digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.

Playing with Constructions — Geometry You Create Yourself

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. This chapter is unique because you actually draw things. With just a compass and a straight edge, you can create perfect circles, copy angles, bisect line segments, and construct beautiful geometric designs.

The new NCERT Ganita Prakash textbook makes constructions feel like art. You start with basic compass skills, progress to constructing squares and equilateral triangles inscribed in circles, and end by creating rosette patterns and Rangoli-like designs.

This Playing with Constructions Class 6 worksheet has 60 questions covering every construction skill in the chapter.

Beyond this worksheet, SparkEd offers interactive online practice for Constructions with step-by-step solutions and progress tracking.

What Does This Worksheet Cover?

Aligned with NCERT Ganita Prakash Chapter 8 — Playing with Constructions:

- Drawing circles — with given radius and through given points
- Constructing line segments — of given length, copying a segment
- Constructing angles — using compass (60, 90, 120 degrees)
- Inscribed squares and triangles — inside circles
- Perpendicular bisector — of a line segment
- Angle bisector — splitting an angle in half
- Artistic designs — rosettes, flower patterns, and Rangoli using compass

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Draw circles, copy segments, construct basic angles | 20 |
| Level 2 | Perpendicular bisector, inscribed shapes, angle bisector | 20 |
| Level 3 | Complex designs, multi-step constructions, reasoning about constructions | 20 |

Sample Questions

Level 1 — Warm Up

1. Draw a circle with radius $4$ cm. Mark the centre as O and any point on the circle as A. What is the length OA?
2. Draw a line segment AB of length $6.5$ cm. Construct another segment CD of the same length using only a compass and ruler.
3. Using a compass, construct an angle of $60\degree$.

Level 2 — Build Confidence

1. Draw a line segment PQ = $8$ cm. Construct the perpendicular bisector of PQ. Mark the midpoint M.
2. Construct an equilateral triangle inscribed in a circle of radius $3$ cm.
3. Draw an angle of $90\degree$ using compass construction (hint: first construct $60\degree$, then bisect $60\degree$ to get $30\degree$, then add $60\degree + 30\degree$).

Level 3 — Push Yourself

1. Construct a square inscribed in a circle of radius $4$ cm. Explain why all four sides are equal.
2. Create a 6-petal rosette pattern: draw a circle, then use the same radius to mark 6 equally spaced points on the circle, and draw arcs connecting them.
3. Why does the perpendicular bisector of a chord of a circle always pass through the centre? Explain with a construction.

Tips for Construction Problems

Download Your Free Worksheet

Get the full Playing with Constructions worksheet with 60 questions and step-by-step answers.

Download here: Playing with Constructions Class 6 Worksheet

Practice online: Playing with Constructions — Online Practice

Related Worksheets

More geometry practice:

- Lines and Angles Class 6 Worksheet — understand angles before you construct them
- Symmetry Class 6 Worksheet — the designs you construct often have beautiful symmetry
- Perimeter and Area Class 6 Worksheet — measure the shapes you build

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