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Regional Mathematical Olympiad (RMO)
Mathematical Olympiads are mainly organized to spot mathematical talent in pre-University students. Regional Mathematical Olympiad (RMO) held in India is the first step for an Indian student to get a chance to represent India in the International Mathematical Olympiad (IMO) - the world championship mathematics competition for high school students.

Those who clear Regional Mathematical Olympiad are eligible to sit for the Indian National Mathematical Olympiad (INMO), which is conducted by the Mathematical Olympiad (MO) Cell of the Homi Bhabha Centre of the Science Education (HBCSE) under the aegis of the National Board of Higher Mathematics (NBHM).

Mathematical Olympiad
The Maths Olympiad Programme which leads to participation in the IMO- International Mathematical Olympiad,constitutes of the following stages:

Stage 1: Regional Mathematical Olympiad (RMO)

Regional Mathematical Olympiad is held in each region normally between September and the first Sunday of December each year. A regional coordinator makes sure that at least one centre is provided in every district of the region. RMO is a 3-hour written test which contains about 6 to 7 problems. All high-school students up to class XII are eligible to appear for RMO. To appear for RMO, interested students should get in touch with the RMO co-ordinator of their region well in advance, for enrolment and payment of a nominal fee.

Each regional coordinator has the freedom to prepare his/her own question paper or to obtain the question paper from NBHM. The regions which opt for the NBHM question paper hold this contest on the 1st Sunday of December. On Based on theirperformance in RMO, certain number of students from each region are selected to appear for the second stage. The regional coordinators charge nominal fees to meet the expenses for organizing the contests.

Stage 2: Indian National Mathematical Olympiad (INMO)

Indian National Mathematical Olympiad is held on the first Sunday of February every year at differentcentres in different regions. Just the students who are selected on the basis of RMO from various regions are eligible to appear for the INMO. It is a 4-hour written test. Its question paper is set centrally and the test is common throughout the country. Only the top 30-35 performers in INMO receive a merit certificate.

Eligibility
Only students of class IX, X, XI and XII are eligible to participate in Regional Mathematical Olympiad. However, Regional Coordinators have the discretionary power to allow any Class VIII student with exceptional mathematical talent to sit for the RMO.

Syllabus for Mathematics Olympiads-
Syllabus for Mathematics Olympiads (regional, national and international) is class 9th to 12thstandard mathematics.

The typical areas of problems are: number theory,algebra, geometry, and combinatorics.

The topics covered under these areas are: number systems, geometry, arithmetic of integers,quadratic equations and expressions, co-ordinate geometry, trigonometry,systems of linear equations, factorisation of polynomials, permutations and combinations,inequalities, probability theory,elementary combinatorics, number theory, complex numbers, elementary graph theory and , infinite series.

The syllabus does not include statistics and calculus.

Though the syllabus is roughly spread over class IX to class XII levels, still the problems under each topic are of an exceptionally high level in difficulty and sophistication as compared to the text book problems.

The difficulty level keeps increasing from RMO to INMO to IMO.
Exam Structure
RMO has six or seven problems that students have to solve in three hours. The syllabus for RMO basically covers pre-degree college mathematics. The major areas covered in the syllabus are algebra, geometry, number theory and combinatorics. Calculus and statistics are not within the scope of the exam but students are allowed to use approaches based on them to solve problems.

The questions generally have high difficulty level and sophistication which only increase from RMO to INMO to IMO.

One should go through Regional Mathematical Olympiad past year papers as well as Regional Mathematical Olympiad sample papers to fully understand what is to be expected in the exam.