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Syllabus

Understanding shape — Syllabus

ICSE · Class 8 · Mathematics

What Understanding shape covers in ICSE Class 8 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 8 Mathematics syllabus.

63 questions28 flashcards7 formulas & key relations5 concepts

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4 Topics · ICSE Class 8 Mathematics · 2026-27

Topics in Understanding shape

1

1. Curves, Open Curves, and Closed Curves

  • All these figures are called curves.
  • In mathematics, a straight line is also called a curve.
  • A curve which does not cut itself is called an open curve.
2

2. Polygons and Their Parts

  • A polygon is a closed plane figure bounded by straight-line segments.
  • The line segments forming a polygon intersect only at end-points, and each end-point is shared by only two line segments.
  • The segments of a polygon are called its sides.
3

3. Types of Polygons

  • If each angle of a polygon is less than 180°, it is called a convex polygon.
  • If at least one internal angle of a polygon is more than 180°, it is called a concave or re-entrant polygon.
  • Unless it is stated, a polygon means a convex polygon.
4

4. Sum of Interior Angles of a Polygon

  • The number of triangles formed is two less than the number of sides in the polygon.
  • Sum of interior angles of a polygon with n sides = (n - 2) × 180°.
  • The same formula can also be written as (2n - 4) × 90°.

Key Concepts

Central concept: Shapes on a plane and polygons

CurveOpen curveClosed curveSimple closed curveRegion of a curvePolygonTypes of polygonsDiagonal

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Frequently Asked Questions

What are the important topics in Understanding shape for ICSE Class 8 Mathematics?
Key topics in Understanding shape include Curves, Open Curves, and Closed Curves, Polygons and Their Parts, Types of Polygons, Sum of Interior Angles of a Polygon. Study these first, then practise questions on each for Class 8 exams.
How should I revise Understanding shape for Class 8 exams?
Learn the core ideas first, then work through the 63 practice questions on Understanding shape. Revise 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.

More resources for Understanding shape

All ICSE Class 8 Mathematics Syllabus

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