The Mathematics Olympiad is organized by NBHM (National Board for Higher Mathematics) and is currently run in association with the Homi Bhabha Centre for Science Education, Mumbai. NBHM then selects and trains the Indian team for participation in the International Mathematical Olympiad every year. While NBHM coordinates this Maths Olympiad at the national level, regional bodies (mostly voluntary) play an important role at different stages.
Only students selected on the basis of the RMO (Regional Mathematical Olympiad) from different regions are eligible to appear for INMO. All high school students up to class XII are eligible to appear for RMO
The syllabus for Mathematics Olympiads (regional, national and international) is pre-degree college mathematics. The topics to be covered are: number systems, 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, number theory, infinite series, complex numbers and elementary graph theory. Calculus and statistics are not included. The typical areas for problems are: number theory, geometry, algebra and combinatorics. Even though the syllabus is spread over class 9-12 levels, the questions are exceptionally high level in difficulty and sophistication. The difficulty level increases from RMO to INMO to IMO. Books like Mathematics Olympiad Primer, by V.Krishnamurthy, C.R.Pranesachar, K.N. Ranganathan and B.J. Venkatachala (Interline Publishing Pvt. Ltd., Bangalore).Challenge and Thrill of Pre-College Mathematics, by V.Krishnamurthy, C.R.Pranesachar, K.N.Ranganathan and B.J.Venkatachala (New Age International Publishers, New Delhi - 1996) will help you get a feel of the kind of questions that you will face,
The Indian National Mathematical Olympiad (INMO) examination is conducted in February every year for students of all classes. The Regional Mathematical Olympiad (RMO) is held in each region normally between September and the first Sunday of December each year.