CBSE Class 9 Maths Syllabus 2025-26 PDF: Check Chapter-wise Topics, Marking Scheme & Exam Pattern

The CBSE Class 9 Mathematics Syllabus for 2025-26 has been updated by the Central Board of Secondary Education to align with modern learning needs, promote conceptual clarity, and integrate real-life application of mathematical concepts. This year’s Class 9 Maths Syllabus includes 6 major units, a well-distributed 80-mark theory exam, and a structured 20-mark internal assessment. Topics span from foundational concepts like Number Systems and Algebra to spatial reasoning in Geometry and data analysis in Statistics. Students are expected to not only learn concepts but also apply, analyze, and interpret mathematical situations with clarity and accuracy.

Check this article for a complete unit-wise breakdown, exam pattern, marking scheme, internal assessment structure, and key highlights. Download the complete syllabus PDF to start your preparation with clarity and confidence.

Key Highlights of the CBSE Class 9 Maths Syllabus

The revised syllabus for Class 9 Mathematics is thoughtfully designed to strengthen core concepts while encouraging analytical thinking and real-life application. Below are the most important features students and educators should keep in mind for effective exam preparation and curriculum planning:

• 6 structured units that cover foundational to advanced mathematical concepts
• Greater focus on application-based learning and problem-solving skills
• Emphasis on Geometry and Algebra, which carry the highest weightage
• Includes practical topics like Statistics and Mensuration for real-world relevance
• Downloadable syllabus PDF for easy access and planning

CBSE Class 9 Maths Units & Marks Distribution

The Class 9 Mathematics syllabus is organized into six key units. Each unit is assigned a specific mark weightage that contributes to the final theory paper. The following table outlines the distribution:

Check CBSE Class 9 Syllabus 2025-26 (All Subjects)

Exam Format for CBSE Class 9 Maths 2025–26

The final theory exam will assess students across a range of cognitive skills, from basic recall to higher-order thinking. The mark distribution by question type is as follows:

Internal Assessment – 20 Marks

• Pen-Paper Test & Multiple Assessments: 10 Marks (5+5)
• Portfolio (classwork, assignments, etc.): 5 Marks
• Lab Practical/Activities: 5 Marks

Also Check CBSE Class 9 Maths Chapter-Wise MCQs

This syllabus serves as a comprehensive roadmap to help Class 9 students prepare effectively for exams and build a strong foundation for Class 10. Check below for the chapter-wise breakdown and download the official CBSE Class 9 Maths Syllabus PDF for strategic preparation.

CBSE Class 9 Maths Syllabus 2025-2026: Unit-Wise Topics

Unit I: Number Systems

1. REAL NUMBERS

• Review of representation of natural numbers, integers, rational numbers on the number line.

• Representation of terminating/non-terminating recurring decimals on the number line through successive magnification.

• Rational numbers as recurring/terminating decimals.

• Operations on real numbers.

• Examples of non-recurring/non-terminating decimals.

• Existence of irrational numbers like √2, √3 and their representation on the number line.

• Every real number is represented by a unique point on the number line and vice versa.

• Definition of nth root of a real number.

• Rationalization (with precise meaning) of expressions like:

   

   

  1 / (a + b√x), 1 / (√x + √y)

  (where x and y are natural numbers and a, b are integers)

• Recall of laws of exponents with integral powers.

• Rational exponents with positive real bases.

Unit II: Algebra

1. POLYNOMIALS

• Definition of a polynomial in one variable with examples and counterexamples.

• Coefficients, terms, zero polynomial.

• Degree of a polynomial.

• Constant, linear, quadratic, and cubic polynomials.

• Monomials, binomials, trinomials.

• Factors and multiples.

• Zeroes of a polynomial.

• Motivate and state the Remainder Theorem with examples.

• Statement and proof of the Factor Theorem.

• Factorization of ax² + bx + c, a ≠ 0 and cubic polynomials using Factor Theorem.

• Recall of algebraic identities:

  (x + y + z)² = x² + y² + z² + 2xy + 2yz + 2zx

  (x ± y)³ = x³ ± y³ ± 3xy(x ± y)

  x³ + y³ = (x + y)(x² − xy + y²)

  x³ − y³ = (x − y)(x² + xy + y²)

  x³ + y³ + z³ − 3xyz = (x + y + z)(x² + y² + z² − xy − yz − zx)

  Use of these identities in factorization.

2. LINEAR EQUATIONS IN TWO VARIABLES

• Recall of linear equations in one variable.

• Introduction to linear equations in two variables: ax + by + c = 0.

• Explain that such equations have infinitely many solutions.

• Represent solutions as ordered pairs and plot them to show they lie on a line.

Unit III: Coordinate Geometry

1. COORDINATE GEOMETRY

• Cartesian plane.

• Coordinates of a point.

• Names and terms associated with the coordinate plane.

• Notations.

Unit IV: Geometry

1. INTRODUCTION TO EUCLID’S GEOMETRY

• Geometry in India and Euclid’s geometry.

• Euclid’s method: definitions, axioms/postulates, theorems.

• Five postulates of Euclid.

• Equivalent versions of the fifth postulate.

• Showing the relationship between axiom and theorem, for example:

  (a) Given two distinct points, there exists one and only one line through them. (Axiom)

  (b) (Prove) Two distinct lines cannot have more than one point in common. (Theorem)

2. LINES AND ANGLES

• (Without proof): If a ray stands on a line, adjacent angles sum to 180°; and its converse.

• (Prove): Vertically opposite angles are equal when two lines intersect.

• (Without proof): Lines parallel to a given line are parallel.

3. TRIANGLES

• (Without proof): SAS Congruence.

• (Prove): ASA Congruence.

• (Without proof): SSS Congruence.

• (Without proof): RHS Congruence.

• (Prove): Angles opposite to equal sides are equal.

• (Without proof): Sides opposite to equal angles are equal.

4. QUADRILATERALS

• (Prove): Diagonal divides a parallelogram into two congruent triangles.

• (Without proof): Opposite sides/angles of a parallelogram are equal and conversely.

• (Without proof): A quadrilateral is a parallelogram if one pair of opposite sides is equal and parallel.

• (Without proof): Diagonals of a parallelogram bisect each other.

• (Without proof): The line joining midpoints of two sides of a triangle is parallel to the third and half of it.

5. CIRCLES

• (Prove): Equal chords subtend equal angles at the center; (without proof) converse.

• (Without proof): Perpendicular from the center to a chord bisects it and vice versa.

• (Without proof): Equal chords are equidistant from the center and vice versa.

• (Prove): Angle subtended by an arc at center is double the angle at any point on the circle.

• (Without proof): Angles in the same segment are equal.

• (Without proof): If a chord subtends equal angles at two points on the same side, the four points lie on a circle.

• (Without proof): Opposite angles of a cyclic quadrilateral sum to 180° and converse.

Unit V: Mensuration

1. AREAS

• Area of a triangle using Heron’s formula (without proof).

2. SURFACE AREAS AND VOLUMES

• Surface areas and volumes of:

  • Spheres

  • Hemispheres

  • Right circular cones

Unit VI: Statistics

1. STATISTICS

• Bar Graphs

• Histograms (with varying base lengths)

• Frequency Polygons

Download the Complete Syllabus in PDF below:

Also Check|

NCERT Book for Class 9 Maths ( Latest Edition)

NCERT Solutions for Class 9 Maths (Updated)