Olympiads and Scholarships · Exam guide

IOQM

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Source checked 25 September 2026

Exam syllabus

Reference from an earlier cycle

Source document: HBCSE Mathematical Olympiad syllabus linked from the IOQM stage page

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Algebra

3units

Inequalities, progressions, indices and systems of linear equations
Theory of equations, binomial theorem and binomial coefficients
Complex numbers, polynomials, functional equations and sequences

Combinatorics

1units

Enumeration, pigeonhole principle, recursion and elementary graph theory

Foundation

1units

NCERT Mathematics concepts from Classes VIII, IX and X

Geometry

4units

Triangles, quadrilaterals, circles and Euclidean constructions
Concurrency and collinearity; Ceva and Menelaus theorems
Trigonometric identities and triangle/polygon properties
Coordinate geometry, conics, three-dimensional geometry and vectors

Number theory

3units

Divisibility, Euclidean algorithm and fundamental theorem of arithmetic
Congruences, Chinese remainder theorem, Fermat and Wilson theorems
Euler phi function, Pythagorean triples and Diophantine equations

HBCSE's 2026–27 Mathematical Olympiad page links the standing syllabus. It expects NCERT Mathematics Classes VIII–X and gives the four major Olympiad domains below. This standing page has no explicit 2026 publication date; verify the current IOQM notice and do not treat the outline as an exhaustive prescribed chapter list.

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