CBSE Class 9 Maths Syllabus - Free PDF Download
CBSE Syllabus 2025-26 Class 9: The CBSE Class 9 Maths Syllabus for the examination year 2025-26 has been released by the Central Board of Secondary Education, CBSE. The board will hold the final examination at the end of the year following the annual assessment scheme, which has led to the release of the syllabus. The 2025-26 CBSE Class 9 Maths Board Exam will entirely be based on the most recent syllabus. Therefore, students must thoroughly understand the new CBSE syllabus to prepare for their annual exam properly.
The detailed CBSE Class 9 Maths Syllabus for 2025-26 is below.
Academic year:
CBSE Class 9 Mathematics Revised Syllabus
CBSE Class 9 Mathematics Course Structure 2025-26 With Marking Scheme
| # | Unit/Topic | Weightage |
|---|---|---|
| 1 | Number Systems | |
| 1 | Number Systems | |
| 2 | Algebra | |
| 2 | Polynomials | |
| 2.03 | Algebraic Expressions | |
| 2.04 | Algebraic Identities | |
| 3 | Linear Equations in Two Variables | |
| 3 | Coordinate Geometry | |
| 4 | Coordinate Geometry | |
| 4 | Geometry | |
| 4.05 | Area | |
| 4.07 | Constructions | |
| 5 | Introduction to Euclid’S Geometry | |
| 6 | Lines and Angles | |
| 7 | Triangles | |
| 8 | Quadrilaterals | |
| 9 | Circles | |
| 5 | Mensuration | |
| 10 | Areas - Heron’S Formula | |
| 11 | Surface Areas and Volumes | |
| 6 | Statistics and Probability | |
| 6.02 | Probability | |
| 12 | Statistics | |
| Total | - |
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Syllabus
1: Number Systems
CBSE Class 9 Mathematics Syllabus
1 Number Systems
2: Algebra
CBSE Class 9 Mathematics Syllabus
2 Polynomials
- Basic Concept of Polynomial and its Degree
- Introduction
- Definition: Polynomial in One Variable
- Definition: Degree
- Definition: Polynomials of Two or More Variables
- Real-Life Application
- Key Points Summary
- Zeroes of a Polynomial
- Remainder Theorem
- Factorisation of Polynomials
- Factorising the Quadratic Polynomial (Trinomial) of the type ax2 + bx + c, a ≠ 0.
- Algebraic Identities
( a + b )2 = a2 + 2ab + b2 .
2.03 Algebraic Expressions
- Algebraic Expressions
- Introduction
- Types of Expressions
- Rules for Separating Terms
- Framing Algebraic Expressions and Formulas
- Real-Life Applications
- Key Points Summary
2.04 Algebraic Identities
- Algebraic Identities
( a + b )2 = a2 + 2ab + b2 .
3 Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Word Problems on Linear Equations
- Introduction
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Graphical Method with Different Cases of Solution
- Equations of Lines Parallel to the X-axis and Y-axis
3: Coordinate Geometry
CBSE Class 9 Mathematics Syllabus
4 Coordinate Geometry
- Co-ordinate Geometry
- Co-ordinate Axes
- Coordinates of a Point
- Important Results
- Cartesian Coordinate System
- Plotting a Point in the Plane If Its Coordinates Are Given.
4: Geometry
CBSE Class 9 Mathematics Syllabus
4.05 Area
- Concept of Area
- Introduction
- Formula: Area
- The Standard Unit of Area
- Example
- Corollary: A rectangle and a parallelogram on the same base and between the same parallels are equal in area.
- Theorem: Parallelograms on the Same Base and Between the Same Parallels.
- Corollary: Triangles on the same base and between the same parallels are equal in area.
4.07 Constructions
- Introduction of Constructions
- Geometric Constructions
- Some Constructions of Triangles
5 Introduction to Euclid’S Geometry
6 Lines and Angles
- Introduction to Lines and Angles
- Basic Terms and Definitions
- Intersecting Lines and Non-intersecting Lines
- Parallel Lines
- Introduction
- Definition: Parallel Lines
- Properties of Parallel Lines
- Key Points Summary
- Concept of Pairs of Angles
- Introduction
- Adjacent Angles
- Vertically Opposite Angles
- Congruent Angles
- Complementary Angles
- Supplementary Angles
- Example 1
- Example 2
- Key Points Summary
- Concept of Transversal Lines
- Introduction
- Angles Formed by Two Lines and Their Transversal
- When Two Parallel Lines Are Cut by a Transversal
- Example 1
- Basic Properties of a Triangle
- Sum of the three angles of a triangle = 180°
- Sum of any two sides is greater than the third side.
- Activity 1
- Activity 2
7 Triangles
- Basic Concepts of Triangles
- Definition:Triangle
- Parts of a Triangle
- Basic Properties of a Triangle
- Key Points Summary
- Congruence of Triangles
- Criteria for Congruence of Triangles
- Basic Properties of a Triangle
- Sum of the three angles of a triangle = 180°
- Sum of any two sides is greater than the third side.
- Activity 1
- Activity 2
- Some More Criteria for Congruence of Triangles
- Inequalities in a Triangle
8 Quadrilaterals
- Properties of Quadrilateral
- Adjacent Sides and Angles
- Opposite Sides and Angles
- Diagonals of a Quadrilateral
- Angle Sum Property of a Quadrilateral
- Another Condition for a Quadrilateral to Be a Parallelogram
- Theorem of Midpoints of Two Sides of a Triangle
- Properties of a Parallelogram
- Tests for Parallelogram
9 Circles
- Basic Concept of Circle
- Introduction
- Definition: Circle
- Definition: Radius
- Definition: Diameter
- Definition: Chord
- Example
- Real-Life Applications
- Key Points Summary
- Chord
- Circles Passing Through One, Two, Three Points
- Infinite circles pass through one point.
- Infinite circles pass through two distinct points.
- There is a unique circle passing through three non-collinear points.
- No circle can pass through 3 collinear points.
- Angle Subtended by an Arc of a Circle
- Cyclic Quadrilateral and Concyclic Points
5: Mensuration
CBSE Class 9 Mathematics Syllabus
10 Areas - Heron’S Formula
- Area of a Triangle by Heron's Formula
- Collinearity of three points
- Application of Heron’s Formula in Finding Areas of Quadrilaterals
- Geometric Interpretation of the Area of a Triangle
11 Surface Areas and Volumes
- Surface Area of a Cuboid
- Surface Area of a Cube
- Volume of a Cuboid
- Mensuration of Cylinder
- Definition: Cylinder
- Properties of a Cylinder
- Activity 1
- Activity 2
- Mensuration of Cones
- Definition: Cone
- Types of Cones
- Properties of a Cone
- Activity
- Mensuration of a Sphere
- Surface area of a sphere
- Hemisphere
- Hollow Hemisphere
6: Statistics and Probability
CBSE Class 9 Mathematics Syllabus
6.02 Probability
12 Statistics
- Concepts of Statistics
- Mathematical Data Collection and Organisation
- Introduction
- Definition: Data
- Definition: Raw Data
- Organising Data
- Example 1
- Example 2
- Example 3
- Key Points Summary
- Frequency Distribution and Its Applications
- Introduction
- Frequency Distribution & Data Arrangement
- Structure of a Frequency Distribution Table
- Example
- Real-life Applications
- Key Points Summary
- Measures of Central Tendency for Different Data Types
- Introduction
- Measures
