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
