Syllabus for Mathematics Olympiad
The syllabus for Mathematical Olympiad (regional, national and international) is all that you have learnt till 12th standard in mathematics.
The main topics that form a part of syllabus are arithmetic of integers, geometry, quadratic equations and expressions, trigonometry, co-ordinate geometry, systems of linear equations, permutations and combinations, factorisation of polynomials, inequalities, elementary combinatorics, probability theory and number theory, finite series and complex numbers and elementary graph theory. The syllabus does not cover Calculus and Statistics.
The major areas which are focused upon in question paper are number theory, geometry, algebra and combinatorics. The syllabus is in a sense spread over Class IX to Class XII levels, but the problems under each topic are of exceptionally high level in difficulty and sophistication. The difficulty level increases from RMO to INMO to IMO.