ICSE Class 8 Maths Syllabus

The ICSE (Indian Certificate of Secondary Education) Class 8 Mathematics syllabus provides a comprehensive foundation in key mathematical concepts, preparing students for higher classes. The syllabus is generally structured to cover various branches of mathematics, including arithmetic, algebra, geometry, and statistics. Below is a detailed overview of the ICSE Class 8 Maths syllabus:

1. Number System

  • Natural Numbers: Properties of natural numbers, operations on natural numbers, LCM and HCF.
  • Integers: Operations on integers, properties, and applications.
  • Rational Numbers: Properties of rational numbers, comparison, and operations.
  • Irrational Numbers: Introduction to irrational numbers, representation on the number line.
  • Real Numbers: Understanding real numbers, operations, and properties.

2. Algebra

  • Algebraic Expressions: Addition, subtraction, multiplication, and division of algebraic expressions.
  • Factorization: Methods of factorization including grouping, identities, and common factors.
  • Linear Equations: Solving linear equations in one variable, applications, and word problems.
  • Exponents and Powers: Laws of exponents, application in scientific notation.

3. Commercial Mathematics

  • Profit and Loss: Calculating profit, loss, and percentage gain/loss.
  • Discount: Understanding discount and calculating discount percentage.
  • Simple and Compound Interest: Formulas for simple and compound interest, applications.

4. Mensuration

  • Perimeter and Area: Calculation of perimeter and area of plane figures like triangles, rectangles, squares, parallelograms, and circles.
  • Volume and Surface Area: Calculation of the volume and surface area of solids like cubes, cuboids, and cylinders.

5. Geometry

  • Basic Geometrical Concepts: Points, lines, line segments, rays, and planes.
  • Angles: Types of angles, angle relationships, and properties.
  • Triangles: Types of triangles, properties, congruence, and construction.
  • Quadrilaterals: Types of quadrilaterals, properties, and constructions.
  • Circles: Concepts of radius, diameter, chord, and construction of circles.

6. Data Handling

  • Statistics: Collection, representation, and interpretation of data using bar graphs, histograms, pie charts, etc.
  • Probability: Basic concept of probability, simple events, and their applications.

7. Sets

  • Introduction to Sets: Understanding sets, subsets, universal set, Venn diagrams, and set operations like union, intersection, and complement.

8. Ratio and Proportion

  • Ratio: Concept of ratio, simplification, and comparison.
  • Proportion: Direct and inverse proportion, applications in real-life problems.

9. Co-ordinate Geometry

  • Cartesian System: Plotting points on a Cartesian plane, understanding coordinates, and simple applications.

10. Polynomials

  • Introduction to Polynomials: Degree of a polynomial, addition, subtraction, multiplication, and division of polynomials.

11. Symmetry

  • Line Symmetry: Understanding symmetry, lines of symmetry in different geometrical shapes.
  • Rotational Symmetry: Understanding rotational symmetry and its applications.

12. Graphs

  • Linear Graphs: Plotting and interpreting linear graphs, understanding slope, and intercept.