CBSE Class 9 Maths Syllabus (2025–26)
Course Structure
| Units | Unit Name | Marks | Chapters Included |
|---|---|---|---|
| I | Number Systems | 10 | Real Numbers |
| II | Algebra | 20 | Polynomials; Linear Equations in Two Variables |
| III | Coordinate Geometry | 04 | Coordinate Geometry |
| IV | Geometry | 27 | Euclid’s Geometry; Lines & Angles; Triangles; Quadrilaterals; Circles |
| V | Mensuration | 13 | Areas; Surface Areas & Volumes |
| VI | Statistics | 06 | Statistics |
| Total | 80 | ||
UNIT I: Number Systems
📘 Real Numbers
- Representation of natural numbers, integers, and rationals.
- Plotting terminating decimals using magnification.
- Recurring decimals on number line.
- Identifying rationals via decimals.
- Irrational numbers as non-terminating, non-repeating decimals.
- Plotting √2, √3.
- Real numbers correspond to unique points.
- nth root definition.
- Rationalization examples.
- Exponent laws.
- Intro to rational exponents.
UNIT II: Algebra
📘 Polynomials
- Definition of polynomials.
- Coefficients & terms.
- Types (constant/linear/quadratic).
- Monomial / binomial / trinomial.
- Zeroes of polynomials.
- Remainder theorem.
- Factor theorem.
- Factorization.
- Identities & applications.
📘 Linear Equations in Two Variables
- Review of one-variable equations.
- Form ax + by + c = 0.
- Solutions as ordered pairs.
- Graphing on Cartesian plane.
- Infinite solutions.
- Collinearity.
UNIT III: Coordinate Geometry
📘 Coordinate Geometry
- Cartesian plane concept.
- Axes, origin, quadrants.
- Plotting points.
- Abscissa / ordinate.
UNIT IV: Geometry
📘 Euclid’s Geometry
- History.
- Definitions, axioms, postulates.
- Five postulates.
- Axioms vs theorems.
📘 Lines and Angles
- Linear pair axiom.
- Vertically opposite angles.
- Parallel lines.
- Angles by transversal.
📘 Triangles
- SAS, ASA, SSS, RHS.
- Opposite angles/sides.
- Problem solving.
📘 Quadrilaterals
- Diagonal divides parallelogram.
- Opposite sides & angles.
- Characterization.
- Diagonals bisect.
- Mid-point theorem.
📘 Circles
- Equal chords/angles.
- Bisectors.
- Central angle theorem.
- Angles in same segment.
- Cyclic quadrilateral.
UNIT V: Mensuration
📘 Areas
- Heron’s formula.
- Composite figures.
📘 Surface Areas & Volumes
- Surface area of sphere & cone.
- Volume.
- Word problems.
UNIT VI: Statistics
📘 Statistics
- Bar graphs.
- Histograms.
- Frequency polygons.
Question Paper Weightage & Student Guide
| Typology | Marks | Weightage |
|---|---|---|
| Remembering & Understanding | 43 | 54% |
| Applying | 19 | 24% |
| Analysis / Evaluation / Creation | 18 | 22% |
| Total: 80 Marks | ||
📘 How Students Should Prepare
- Remembering (54%): Read theory & examples.
- Applying (24%): Practice numericals.
- HOTS (22%): Attempt case-study questions.
Practice Extra Questions for Class 9 Maths
Refer NCERT Solutions for Class 9 Maths
Build Strong Concepts for Maths & Science – with LearnTheta’s AI-Practice!
✅ All Topics at One Place
🤖 Adaptive Question Practice
📊 Progress and Insights