IOQM · Syllabus

IOQM Syllabus 2026 — every subject & topic

The complete Indian Olympiad Qualifier in Mathematics syllabus: 1 subjects, 48 topics. Every topic links to free study notes, practice questions and topic-wise quizzes.

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Mathematics

  • Basic Preliminaries

    Number System · Modulus / Absolute Value · Logarithms · Greatest Integer Function · Basic Inequalities

  • Number Theory

    Divisibility · Prime Numbers · Modular Arithmetic · Fermat's Little and Euler's Theorems · Diophantine Equations · Number Bases · Arithmetic Functions · p-adic Valuation and LTE

  • Algebra

    Algebraic Manipulation · Polynomials · Inequalities · Complex Numbers · Sequences and Series · Functional Equations · Binomial and Multinomial Theorems · Equations and Systems

  • Combinatorics

    Counting Principles · Permutations and Combinations · Pigeonhole Principle · Mathematical Induction · Inclusion-Exclusion · Recurrence Relations · Generating Functions (Basics) · Combinatorial Identities · Elementary Graph Theory

  • Geometry

    Triangles · Circles · Quadrilaterals and Polygons · Areas and Lengths · Geometric Transformations · Classical Theorems · Coordinate Geometry · Combinatorial Geometry

  • Trigonometry

    Ratios and Identities · Trigonometric Equations · Triangle Trigonometry · Geometric Applications

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