Module 1
Number Systems
Classify real numbers, represent irrationals on the number line, rationalize denominators, and apply laws of exponents.
The Class 9 Olympiad 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 Olympiad Maths syllabus on SparkEd covers 12 chapters aligned to the latest Olympiad 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 Olympiad 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 Olympiad board-aligned tests.
Module 1
Classify real numbers, represent irrationals on the number line, rationalize denominators, and apply laws of exponents.
Module 2
Factor polynomials, apply remainder and factor theorems, use algebraic identities in competition problems.
Module 3
Plot points, find distances, and solve geometric problems on the Cartesian plane at Olympiad level.
Module 4
Solve and graph linear equations in two variables; find integer solutions and apply to word problems.
Module 5
Prove angle relationships with parallel lines and transversals; solve multi-step angle problems.
Module 6
Apply congruence criteria (SSS, SAS, ASA, RHS), prove triangle properties, and solve advanced problems.
Module 7
Prove properties of parallelograms and special quadrilaterals; apply mid-point theorem in competition problems.
Module 8
Explore chord properties, angles subtended by arcs, cyclic quadrilaterals, and solve circle theorem problems.
Module 9
Apply Heron's formula to find areas of triangles and quadrilaterals; solve composite figure problems.
Module 10
Calculate surface area and volume of cones, spheres, cylinders; solve problems on combined solids.
Module 11
Compute mean, median, mode for grouped and ungrouped data; solve data interpretation problems.
Module 12
Solve analogy, classification, coding-decoding, number series, figure patterns, direction sense, Venn diagrams, mirror images, and paper folding problems.