Chapter 1
Number Systems
Classify numbers into naturals, integers, rationals, and irrationals; represent on number line.
The Class 9 CBSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
Last updated: 5 May 2026
The Class 9 CBSE Maths syllabus on SparkEd covers 15 chapters aligned to the latest CBSE curriculum, spanning number systems, algebra, geometry, mensuration, data and statistics and coordinate geometry. Every chapter on this page links to a topic guide with concept notes, a free PDF worksheet at three difficulty levels, and an interactive practice module with instant feedback.
Class 9 maths builds the foundation that the next year's chapters depend on, so consistent weekly practice matters more than last-minute cramming. The Class 9 CBSE syllabus marks the start of board-level rigour. Number systems, polynomials, coordinate geometry, Euclid's geometry, and probability form the core of this challenging year.
How to use this page: open a chapter's Topic Guide for the concept refresher, switch to Practice for graded questions, and download the PDF worksheet for offline use. Each chapter has around 60 questions across easy, medium, and hard sets — enough material for a full revision cycle leading up to school assessments and CBSE board-aligned tests.
Chapter 1
Classify numbers into naturals, integers, rationals, and irrationals; represent on number line.
Chapter 2
Understand degree, zeroes of polynomials, remainder theorem, and factor theorem.
Chapter 3
Plot points on the Cartesian plane and understand abscissa, ordinate, and quadrants.
Chapter 4
Form and graph linear equations in two variables; find solutions as ordered pairs.
Chapter 5
Study Euclid's definitions, axioms, postulates, and their role in building geometry.
Chapter 6
Prove and apply theorems on linear pairs, vertically opposite angles, and parallel line transversals.
Chapter 7
Study congruence rules, properties of isosceles triangles, and inequalities in triangles.
Chapter 8
Prove angle sum property, properties of parallelograms, and mid-point theorem.
Chapter 9
Prove theorems relating areas of figures on the same base and between the same parallels.
Chapter 10
Study chords, arcs, angles subtended by chords, and properties of cyclic quadrilaterals.
Chapter 11
Construct bisectors of line segments and angles, and triangles given specific conditions.
Chapter 12
Apply Heron's formula to find areas of triangles and quadrilaterals split into triangles.
Chapter 13
Calculate surface area and volume of cubes, cuboids, cylinders, cones, and spheres.
Chapter 14
Collect data, draw frequency tables and histograms, and compute mean, median, and mode.
Chapter 15
Understand experimental probability through repeated experiments and frequency approach.