CBSE Class 9 detailed syllabus for Maths

CBSE Class 9 Maths Syllabus (2025-26)

Unit 1: Number Systems

  1. Real Numbers
    • Irrational Numbers
    • Real Numbers and their Decimal Expansions
    • Representing Real Numbers on the Number Line
    • Operations on Real Numbers
    • Laws of Exponents for Real Numbers

Unit 2: Algebra

  1. Polynomials
    • Polynomials in One Variable
    • Zeroes of a Polynomial
    • Remainder Theorem
    • Factorization of Polynomials
    • Algebraic Identities
  2. Linear Equations in Two Variables
    • Introduction to Linear Equations
    • Graph of Linear Equations in Two Variables
    • Equations of Lines Parallel to x-axis and y-axis

Unit 3: Coordinate Geometry

  1. Introduction to Coordinate Geometry
    • Cartesian Plane
    • Plotting Points in the Plane

Unit 4: Geometry

  1. Lines and Angles
    • Basic Terms and Definitions
    • Intersecting Lines and Non-intersecting Lines
    • Pairs of Angles
    • Parallel Lines and a Transversal
    • Angle Sum Property of a Triangle
  2. Triangles
    • Congruence of Triangles
    • Criteria for Congruence of Triangles
    • Properties of Triangles
    • Inequalities in a Triangle
  3. Quadrilaterals
    • Properties of a Parallelogram
    • Types of Quadrilaterals
  4. Area
    • Area of a Parallelogram
    • Area of a Triangle
  5. Circles
    • Basic Terms and Definitions
    • Angles Subtended by Chords
    • Perpendicular from the Center to a Chord
    • Equal Chords and Their Distances from the Center
    • Angle Subtended by an Arc of a Circle
    • Cyclic Quadrilaterals
  6. Constructions
    • Basic Constructions
    • Construction of Triangles

Unit 5: Mensuration

  1. Areas
    • Area of Trapezium, Quadrilaterals, and Circles
  2. Surface Areas and Volumes
    • Surface Area of a Cuboid, Cube, and Cylinder
    • Volume of a Cuboid, Cube, and Cylinder

Unit 6: Statistics & Probability

  1. Statistics
    • Introduction to Statistics
    • Collection of Data
    • Presentation of Data (Bar Graphs, Histograms, Frequency Polygons)
    • Measures of Central Tendency (Mean, Median, Mode)
  2. Probability
    • Introduction to Probability
    • Simple Problems on Single Events

This syllabus is designed to build a strong foundation in mathematical concepts, helping students develop analytical and problem-solving skills.