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CBSE Class 9 Mathematics Syllabus 2026-27

Introduction

 

The CBSE Class 9 Mathematics syllabus for the academic session 2026-27 is designed to build a strong conceptual foundation in mathematical reasoning, problem-solving, and analytical thinking. Aligned with the National Curriculum Framework, this syllabus introduces students to core topics including Number Systems, Algebra, Geometry, Mensuration, Statistics, and Probability. Mastery of the Class 9 Maths syllabus is essential for success in the Class 10 board examinations and for clearing competitive entrance tests such as JEE and NTSE.

 

This page provides a complete breakdown of the CBSE Class 9 Maths syllabus 2026-27, including unit-wise weightage, chapter overviews, exam pattern, recommended textbooks, study tips, and frequently asked questions to help students, parents, and teachers plan effectively.

 

Quick Facts: CBSE Class 9 Mathematics 2026-27

 

Detail

Information

Subject

Mathematics

Subject Code

041

Academic Session

2026-27

Total Marks

100 (80 Theory + 20 Internal Assessment)

Exam Duration

3 Hours

Board

Central Board of Secondary Education (CBSE)

Curriculum Framework

NCF 2005

 

Exam Pattern: CBSE Class 9 Mathematics 2026-27

 

The CBSE Class 9 Mathematics examination consists of two components: an 80-mark theory paper and 20 marks for internal assessment. The theory paper tests students across all units with a mix of objective, short-answer, and long-answer questions.

 

Section

Question Type

Number of Questions

Marks per Question

Total Marks

Section A

Multiple Choice Questions (MCQ)

20

1

20

Section B

Very Short Answer

6

2

12

Section C

Short Answer

8

3

24

Section D

Long Answer

6

4/5

24

Internal Assessment

Pen Paper Test + Assignments + Lab Activities

-

-

20

 

Detailed Unit-wise and Chapter-wise Syllabus

 

Unit 1: Number Systems

 

This unit introduces students to the Real Number System. Students explore rational and irrational numbers, their decimal expansions, and operations on them. This unit forms the numerical backbone for all further mathematical study.

 

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

•       Rational numbers as recurring/terminating decimals

•       Examples of non-recurring/non-terminating decimals: irrational numbers

•       Existence of irrational numbers and their representation on the number line

•       Real numbers and their decimal expansions

•       Operations on real numbers

•       Laws of exponents for real numbers

 

Unit 2: Algebra

 

Unit 2 covers two core chapters: Polynomials and Linear Equations in Two Variables. Students learn factorisation techniques and graphical representation of linear equations.

 

Chapter: Polynomials

 

•       Definition of a polynomial in one variable and examples

•       Coefficients of a polynomial, terms, degree

•       Zeroes of a polynomial

•       Remainder Theorem, Factor Theorem

•       Factorisation of polynomials using Factor Theorem

•       Algebraic identities

 

Chapter: Linear Equations in Two Variables

 

•       Recall of linear equations in one variable

•       Introduction to the equation ax + by + c = 0

•       Equations of lines parallel to the x-axis and y-axis

•       Graph of a linear equation in two variables

 

Unit 3: Coordinate Geometry

 

This unit introduces the Cartesian plane, axes, quadrants, and how to plot ordered pairs. It connects algebraic equations to graphical representations.

 

•       The Cartesian plane, coordinates of a point

•       Names and terms associated with the coordinate plane

•       Plotting of points in the plane

 

Unit 4: Geometry

 

The Geometry unit is the largest and includes Euclid's Geometry, Lines and Angles, Triangles, Quadrilaterals, and Circles. Students develop rigorous proof-writing skills.

 

Chapter: Introduction to Euclid's Geometry

•       History of Geometry, Euclid's definitions, axioms, and postulates

•       Equivalent versions of Euclid's fifth postulate

 

Chapter: Lines and Angles

•       Pairs of angles, parallel lines and a transversal

•       Angle sum property of a triangle

 

Chapter: Triangles

•       Congruence of triangles, criteria for congruence (SSS, SAS, ASA, RHS)

•       Properties of isosceles triangles, inequalities in a triangle

 

Chapter: Quadrilaterals

•       Properties of a parallelogram, conditions for a quadrilateral to be a parallelogram

•       Midpoint Theorem

 

Chapter: Circles

•       Angle subtended by a chord at a point, equal chords and their distances from the centre

•       Angle subtended by an arc of a circle, cyclic quadrilaterals

 

Unit 5: Mensuration

 

Students learn to calculate areas and surface areas of plane figures and 3D solids including cylinders, cones, and spheres.

 

•       Area of a triangle using Heron's Formula

•       Surface areas and volumes of spheres, cones, and cylinders

 

Unit 6: Statistics and Probability

 

•       Collection and presentation of data: tabulation, bar graphs, histograms, frequency polygons

•       Measure of central tendency: Mean, Median, Mode

•       Probability: Empirical approach, simple events, experimental probability

 

Chapter Overview and Marks Weightage

 

Unit

Chapter / Topic

Marks (Theory)

I: Number Systems

Real Numbers

10

II: Algebra

Polynomials + Linear Equations in Two Variables

20

III: Coordinate Geometry

Coordinate Geometry

04

IV: Geometry

Euclid's Geometry, Lines & Angles, Triangles, Quadrilaterals, Circles

27

V: Mensuration

Heron's Formula, Surface Areas and Volumes

13

VI: Statistics and Probability

Statistics, Probability

06

 

Total Theory Marks

80

 

Internal Assessment Marking Scheme

 

Component

Marks

Pen Paper Test (2 tests)

10

Assignments / Class Work

05

Lab Activities / Portfolio

05

Total Internal Assessment

20

 

Recommended Books for CBSE Class 9 Mathematics 2026-27

 

Book Title

Author / Publisher

Type

Mathematics (Class 9)

NCERT

Primary Textbook (Mandatory)

Mathematics Exemplar Problems (Class 9)

NCERT

Practice Book

Together with Mathematics Class 9

Rachna Sagar

Reference

All in One Mathematics Class 9

Arihant Publications

Reference

R.D. Sharma Class 9 Mathematics

Dhanpat Rai Publications

Reference

 

Preparation Tips for CBSE Class 9 Mathematics

 

Consistent practice is the most effective strategy for excelling in CBSE Class 9 Mathematics. The following tips will help students build conceptual clarity and score well in both internal assessments and the theory examination.

 

•       Start with NCERT: Complete all NCERT exercises and examples before moving to reference books, as CBSE exam questions are primarily NCERT-based.

•       Practise proofs daily: Geometry chapters require regular proof practice. Write out each proof step from memory to build confidence.

•       Focus on Algebra: Polynomials and Linear Equations carry high weightage. Memorise all algebraic identities and apply them in varied contexts.

•       Revise Number Systems: Ensure clarity on rational, irrational, and real numbers, as this forms the base for higher classes.

•       Solve previous year papers: Attempt CBSE sample papers and previous year question papers to understand the question pattern and time management.

•       Maintain a formula sheet: Create a personalised reference sheet with all formulas for Mensuration and Algebra for quick revision.

 

Frequently Asked Questions (FAQs)

 

What is the total marks for CBSE Class 9 Mathematics?

 

The total marks for CBSE Class 9 Mathematics is 100, comprising 80 marks for the theory examination and 20 marks for internal assessment.

 

Which unit carries the highest marks in Class 9 Maths?

 

Unit 4 (Geometry) carries the highest weightage with 27 marks out of 80 in the theory examination, making it the most important unit to prepare thoroughly.

 

Is the NCERT textbook sufficient for CBSE Class 9 Maths?

 

Yes, the NCERT Mathematics textbook for Class 9 is the primary and most important resource. CBSE examination questions are predominantly based on NCERT content. Students may use reference books for additional practice after completing NCERT.

 

How many chapters are in CBSE Class 9 Maths syllabus 2026-27?

 

The CBSE Class 9 Mathematics syllabus 2026-27 covers chapters across 6 units including Number Systems, Algebra, Coordinate Geometry, Geometry, Mensuration, and Statistics and Probability.

 

What is the duration of the Class 9 Maths examination?

 

The CBSE Class 9 Mathematics theory examination is 3 hours in duration.

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