Course Overview

Master Olympiad-level problem solving with expert guidance. Prepare for National and International Maths Olympiads —build strong concepts, sharpen logic, and acquire speed and accuracy. Learn the exact strategies top scorers use and get exam-ready with targeted practice based on IOQM patterns.

Course Description

Build a strong foundation in Mathematics Olympiad. Strengthen your understanding of core mathematical concepts that go beyond the standard curriculum. Learn advanced strategies and techniques to solve non-routine and multi-step problems. Enhance speed, accuracy, and logical reasoning under exam conditions. Understand the IOQM structure, revise the entire syllabus, and gain expertise in all previous year papers.

Topics Covered

Our course is designed to prepare students comprehensively for IOQM, covering all major Olympiad-relevant areas:

1. Geometry

(a) Basic Postulates & Similar Triangles

(b) Lines & Angles (Tangent-Chord, Arcs, Inscribed Angles)

(c) Triangles (Ceva’s Theorem, Simson’s Line, Special Circles)

(d) Circles (Tangents, Chords, Power of a Point, Radical Axis)

(e) Quadrilaterals (Inscribed, Circumscribed, Ptolemy’s Theorem)

(f) Core Theorems (Inversive Geometry, Apollonius Circle)

(g) Rotations, Homothety & Transformations

2. Inequalities

(a) Basic Algebraic Inequality Methods

(b) Rearrangement, Jensen’s, AM-GM-HM, Cauchy-Schwarz

(c) Algebra of Inequalities (Addition, Multiplication, Transitivity)

3. Combinatorics

(a) Basics: Induction, Contradiction

(b) Counting Principles: Permutations, Combinations, Binomial

(c) Advanced Topics: Inclusion-Exclusion, Derangements, Extremal Principle, Recursion, Pigeonhole Principle

4. Number Theory

(a) Divisibility, GCD & LCM, Euclidean Algorithm

(c) Congruences & Theorems (Fermat, Wilson, Chinese Remainder Theorem)

(d) Diophantine Equations

5. Theory of Equations

(a) Polynomial Basics, Roots & Discriminants

(b) Vieta’s Relations

(c) Symmetric Functions & Newton-Girard Formulas

Prerequisites

A basic understanding of the theory of equations, elementary Euclidean geometry, and foundational concepts in combinatorics.