Practical Geometry Class 6 ICSE 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. SparkEd's Class 6 maths practice covers the full ICSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

Every worksheet is aligned to the latest ICSE/CISCE syllabus pattern.

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

Practical Geometry — Drawing Mathematics

The ICSE syllabus gives significant weight to Practical Geometry because it develops spatial reasoning and precision. Unlike other chapters where you compute with numbers, here you construct with tools — compass, ruler, protractor, and set squares.

The ICSE board expects students to perform specific constructions accurately and write the steps clearly. In exams, construction arcs and marks are part of the answer — erasing them loses marks.

This worksheet covers all the standard constructions required by the ICSE Class 6 syllabus, with clear step-by-step instructions in the answer key.

What Does This Worksheet Cover?

Aligned with the ICSE Class 6 Practical Geometry chapter:

- Drawing line segments — of given length, using ruler and compass
- Constructing a copy of a line segment
- Constructing perpendicular lines — from a point on a line and from a point outside a line
- Perpendicular bisector — of a line segment
- Constructing angles — $60\degree$, $90\degree$, $120\degree$, $30\degree$, $45\degree$
- Angle bisector — dividing an angle into two equal parts
- Constructing triangles — SSS, SAS, ASA constructions

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Draw segments, copy segments, construct basic angles (60, 90) | 20 |
| Level 2 | Perpendiculars, bisectors, construct 30/45/120 degree angles | 20 |
| Level 3 | Triangle constructions (SSS, SAS, ASA), combined constructions | 20 |

Sample Questions

Level 1 — Warm Up

1. Draw a line segment AB = $7.3$ cm.
2. Using a compass, construct a copy of a given segment PQ = $5.8$ cm.
3. Construct an angle of $60\degree$ using only a compass and ruler.

Level 2 — Build Confidence

1. Draw a line segment MN = $8$ cm. Construct its perpendicular bisector. Verify by measuring both halves.
2. Construct an angle of $45\degree$. (Hint: First construct $90\degree$, then bisect it.)
3. Construct a perpendicular to line $l$ from an external point P.

Level 3 — Push Yourself

1. Construct a triangle ABC with AB = $6$ cm, BC = $5$ cm, and AC = $4.5$ cm (SSS construction).
2. Construct a triangle PQR where PQ = $5.5$ cm, $\angle P = 60\degree$, and PR = $4.5$ cm (SAS construction).
3. Construct a triangle XYZ where XY = $6$ cm, $\angle X = 75\degree$, and $\angle Y = 45\degree$ (ASA construction). Find $\angle Z$ by measuring.

Tips for ICSE Practical Geometry

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Related Worksheets

Complete your geometry skills:

- Basic Geometry Class 6 ICSE Worksheet — angle and line concepts you construct
- Symmetry Class 6 ICSE Worksheet — constructions often produce symmetric figures
- Area & Perimeter Class 6 ICSE Worksheet — measure the shapes you construct

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