The syllabus for Mathematical Olympiad (regional, national
and international) is pre-degree college mathematics. The areas covered are
arithmetic of integers, geometry, quadratic equations and expressions,
trigonometry, co-ordinate geometry, system of linear equations, permutations
and combination, factorisation of polynomial, inequalities, elementary
combinatorics, probability theory and number theory, finite series and complex
numbers and elementary graph theory. The syllabus does not include calculus and
statistics. The major areas from which problems are given are algebra, combinatorics,
geometry and number theory . The syllabus is in a sense 7 spread over Class XI
to Class XII levels, but the problems under each topic involve high level of
difficulty and sophistication. The difficulty level increases from RMO to INMO
to IMO.
Go through the previous year question papers
The following are very good reference books for Mathematics Olympiad.
Visit https://brilliant.org/wiki/inmo-math-contest-preparation/ for basic to advanced concepts with quizzes.
Indian National Mathematical Olympiad past year papers with solutions
All the best
This blog aims to provide uptodate information on various competitions for Indian students 
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