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Constructions

ICSE · Class 6 · Mathematics

Complete topic list for Constructions in ICSE Class 6 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

123 questions30 flashcards5 concepts

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4 Topics · ICSE Class 6 Mathematics

Topics in Constructions

1

1. Basic Constructions Using Ruler and Compass

  • We can copy any given angle using a compass and ruler.
  • An angle can be bisected (divided into two equal parts) using compass arcs.
  • We can construct standard angles like 60°, 90°, 45°, 30°, 120°, and others step by step.
2

2. Constructing Standard Angles

  • 60° angle: Draw an arc from point O, then another arc from the intersection point to form an equilateral triangle.
  • 90° angle: Can be made by constructing perpendiculars or combining 60° and 30°.
  • 45° angle: Bisect a 90° angle.
3

3. Perpendiculars and Bisectors

  • Perpendicular bisector: A line that cuts a segment into two equal parts at 90°.
  • To draw a perpendicular from a point on a line: Use equal arcs on both sides and intersect above.
  • To draw a perpendicular from a point outside a line: Draw intersecting arcs from two points on the line.
4

4. Construction of Triangles

  • A triangle can be constructed if we know: three sides (SSS), two sides and included angle (SAS), or two angles and included side (ASA).
  • The sum of any two sides must be greater than the third side (triangle inequality).
  • The sum of all angles in a triangle is always 180°.

Key Concepts

Central concept: Constructions

Using Ruler and CompassConstruction of AnglesConstruction of PerpendicularsUsing Set-SquaresConstruction of Triangles

Frequently Asked Questions

What are the important topics in Constructions for ICSE Class 6 Mathematics?
Constructions covers several key topics that are frequently asked in ICSE Class 6 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Constructions — ICSE Class 6 Mathematics?
Understand the core concepts first, then work through the 123 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All 22 chapters — ICSE Class 6 Mathematics Syllabus

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