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.
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.