[ays_quiz id=”102″]

Class 6 → Mathematics → Chapter 8: Playing With Constructions

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I. Chapter Summary:

The chapter Playing With Constructions introduces students to basic geometric constructions using simple tools like a ruler, compass, and protractor. Students learn how to draw line segments, angles, perpendicular lines, and simple shapes accurately. This chapter develops precision, spatial understanding, and practical skills. It also helps students understand the importance of measurements and constructions in real-life applications such as architecture and design.

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II. Key Concepts Covered:

1. Basic Geometrical Tools

• Ruler (scale)
• Compass
• Protractor

2. Drawing Line Segments

Constructing a line segment of a given length.

3. Drawing Angles

Using a protractor to draw specific angles (30°, 45°, 60°, 90°, etc.).

4. Perpendicular Lines

Drawing a line that makes a 90° angle with another line.

5. Parallel Lines

Drawing lines that never meet and remain equidistant.

6. Construction of Simple Shapes

Drawing triangles and basic figures using given measurements.

7. Accuracy in Construction

Importance of neatness and precision.

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III. Important Questions:

(A) MCQs (1 Mark):

1. Which tool is used to draw a circle?
   (a) Ruler
   (b) Compass ✅
   (c) Protractor
   (d) Pencil
2. A protractor is used to measure:
   (a) Length
   (b) Angles ✅
   (c) Area
   (d) Weight
3. A perpendicular line makes an angle of:
   (a) 45°
   (b) 90° ✅
   (c) 180°
   (d) 60°
4. Parallel lines:
   (a) Meet at a point
   (b) Never meet ✅
   (c) Form right angle
   (d) Are curved

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IV. Short Answer Questions (2/3 Marks):

1. Name the tools used in geometrical constructions.
2. What is a perpendicular line?
3. How do you draw a line segment of given length?
4. What are parallel lines?

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V. Long Answer Questions (5 Marks):

1. Explain how to construct a line segment of given length.
2. Describe steps to draw an angle using a protractor.
3. Explain how to draw perpendicular and parallel lines.
4. Construct simple shapes using given measurements.

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VI. HOTS Questions:

1. Why is accuracy important in geometrical constructions?
2. How are geometrical constructions useful in real life?

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VII. Key Formulas/Concepts:

Perpendicular Line Concept

Perpendicular lines meet at 90∘text{Perpendicular lines meet at } 90^circPerpendicular lines meet at 90∘

Parallel Line Concept

Parallel lines never meet and remain equidistanttext{Parallel lines never meet and remain equidistant}Parallel lines never meet and remain equidistant

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VIII. Deleted Portions (CBSE 2025–2026):

No portions have been deleted from this chapter as per the rationalized NCERT textbooks.

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IX. Chapter-Wise Marks Bifurcation (Estimated – CBSE 2025–2026):

Unit/Chapter	Estimated Marks	Type of Questions Typically Asked
Playing With Constructions	4–6 Marks	MCQs, Short Answer, Diagram-based

Note: This is an estimate. Actual marks distribution may vary.

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X. Previous Year Questions (PYQs):

1 Mark:

• Name a tool used to draw angles. (2019)

2/3 Marks:

• Define perpendicular lines. (2020)
• Explain use of compass. (2021)

5 Marks:

• Describe steps of geometrical construction. (2022)

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XI. Real-World Application Examples:

• Architecture and building design
• Engineering drawings
• Map making
• Art and design

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XII. Student Tips & Strategies for Success:

Time Management:

• Practice constructions regularly.

Exam Preparation:

• Focus on neat diagrams.
• Follow step-by-step construction.

Stress Management:

• Work slowly and carefully.
• Avoid rushing drawings.

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XIII. Career Guidance & Exploration:

• Science Stream: Engineering, Architecture
• Commerce Stream: Design planning
• Arts Stream: Fine Arts, Design

Entrance Exams (Basic Awareness):

• JEE
• NATA

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XIV. Important Notes:

• Use tools properly.
• Draw neat and accurate diagrams.
• Practice regularly.
• Refer to NCERT textbook.
• Revise concepts frequently.