CBSE CLASS 9 – MATHEMATICS (NCERT) | SYLLABUS 2025–26
CBSE CLASS 9 – MATHEMATICS (NCERT) | SYLLABUS 2025–26
Board: Central Board of Secondary Education (CBSE)
📘 Question Paper Pattern & Marking Scheme (CBSE – 2025–26)
(As per the latest CBSE assessment structure for Class IX)
Annual Examination: 80 Marks
Internal Assessment: 20 Marks
Total: 100 Marks
Question Paper Structure (80 Marks):
- Section A: Very Short Answer (VSA)
Objective / MCQs – 1 mark each - Section B: Short Answer–I (SA-I)
2 marks each - Section C: Short Answer–II (SA-II)
3 marks each - Section D: Long Answer (LA)
5 marks each - Section E: Case Study / Source-Based Questions
Competency-based questions (4–5 marks)
Internal Assessment (20 Marks):
- Periodic Tests – 10 marks
- Mathematics Lab Activity / Project Work – 5 marks
- Portfolio / Class Participation – 5 marks
Note: Internal assessment emphasizes problem-solving skills, mathematical reasoning, and real-life applications.
📐 CBSE Class 9 Mathematics Syllabus (NCERT) – 2025–26
(The table is designed to stack neatly on smaller screens when used in WordPress.)
| Unit | Chapter Name | Brief Learning Outcomes / Chapter Summary |
|---|---|---|
| I | Number Systems | Review of rational numbers and introduction to irrational numbers. Representation of real numbers on the number line and laws of exponents for real numbers. |
| II | Polynomials | Definition, degree, and types of polynomials. Understanding zeroes of a polynomial and the relationship between zeroes and coefficients for linear and quadratic polynomials. |
| III | Coordinate Geometry | Introduction to the Cartesian plane. Plotting points using ordered pairs ((x, y)) in all four quadrants. |
| IV | Linear Equations in Two Variables | Concept of linear equations of the form (ax + by + c = 0). Graphical representation and solutions of linear equations in two variables. |
| V | Introduction to Euclid’s Geometry | Euclid’s definitions, axioms, and postulates. Understanding the structure of Euclidean geometry and the difference between axioms and theorems. |
| VI | Lines and Angles | Angle relationships formed by intersecting lines and transversals. Proofs involving pairs of angles such as vertically opposite angles and corresponding angles. |
| VII | Triangles | Congruence of triangles using SSS, SAS, ASA, and RHS criteria. Properties of triangles and inequalities in triangles. |
| VIII | Quadrilaterals | Angle sum property of quadrilaterals. Properties of parallelograms and special quadrilaterals, with proofs. |
| IX | Areas of Parallelograms and Triangles | Area relationships between figures on the same base and between the same parallels. |
| X | Circles | Introduction to circles, chords, arcs, and angles subtended by chords at a point. Proof-based theorems related to circles. |
| XI | Constructions | Geometrical constructions such as bisectors, construction of triangles using given measurements, and basic constructions using ruler and compass. |
| XII | Heron’s Formula | Finding the area of a triangle using Heron’s formula when all three sides are given. Applications in real-life problems. |
| XIII | Surface Areas and Volumes | Surface area and volume of cubes, cuboids, cylinders, cones, and spheres. Applications involving combinations of solids. |
| XIV | Statistics | Collection, representation, and interpretation of data. Construction of bar graphs, histograms, and frequency polygons. |
| XV | Probability | Basic concepts of probability. Experimental probability defined as |
