# About Regional Mathematics Olympiad (RMO)

## What is the Regional Mathematics Olympiad (RMO)?

The Regional Mathematics Olympiad (RMO) is conducted in India by the National Board for Higher Mathematics (NBHM) in coordination with the state universities registered under the UGC, under the guidance and association of Homi Bhaba Centre for Science Education (HBCSE). The exam tests an aspirant's problem-solving ability at a young age (undergraduate level).

Regional Mathematics Olympiad (RMO) is a part of Pre-RMO, IMO, INMO, Pre-Departure camp, and International Olympiad. There is a total of 6 stages in this Olympiad. The below table will help you to understand the level system.

## Stage Levels

RMO Stages |

Pre-RMO (Regional Mathematical Olympiad) exam held in the month of August every year. Students get participation from the nearest school for the Pre-RMO exam.

The list of students who qualify for RMO will also be announced on the HBCSE website.

## Stage 1: Pre-RMO Eligibility

## Candidates born on or after August 1st, 2001, and studying in Class 8, 9, 10, 11 or 12, are eligible to write PRMO 2020. Further candidates must be Indian citizens. All further steps of the Indian Mathematical Olympiad program, subsequent to the PRMO exam, will be conducted by HBCSE. For details go to this link: https://olympiads.hbcse.tifr.res.in.

## Stage 2: Regional Mathematical Olympiad (RMO)

The details of the process of registration for PRMO will be published on the MTA and HBCSE websites. Stage 2, Regional Mathematical Olympiad (RMO): The RMO is a three hour written test with six problems. On the basis of the performance in RMO, up to 30 students from Classes 8, 9, 10, 11, and up to 6 students from Class 12 from each region are selected for Stage 3 (INMO). To break ties for the closing ranks, the PRMO score shall be applied by the regional coordinator. In case ties cannot be broken by PRMO scores also, the final list will include all candidates in the tied position. As a special case, up to 5 students studying in KV schools outside India may be selected to appear directly for the INMO examination. The selection of these students will be done by KVS.

The students eligible for the RMO it is mandatory that students qualify through this centrally administered PRMO. No other independently administered examinations will be recognized.

## RMO Exam Pattern

## RMO Result

## Eligibility criteria

Candidates from class 8th to 12th class may appear for the test. students (Indian Nationals) from class 8 to class 12 may appear for the test. A prospective contestant is required to apply online and also provide a recommendation letter from the school.

## Syllabus for Regional Mathematical Olympiad

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, coordinate geometry, a system of linear equations, permutations and combination, factorization 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 spread over Class XI to Class XII levels, but the problems under each topic involve a high level of difficulty and sophistication. The difficulty level increases from RMO to INMO to IMO.]

Follow the sample papers and just found the important topics first which question comes the most as listed and the pattern of the paper.

The questions in RMO are nonstandard in nature. They are from the following topics:

- Geometry
- Combinatorics
- Number Theory
- Algebra (Inequalities, Functional Equation, Theory of Equation).

The syllabus does not include calculus.

**Miscellaneous**

- Mathematical Circles: Russian Experience; Dmitri Fomin, Sergey Genkin, Ilia V. Itenberg
- Challenges and Thrills of Pre-College Mathematics; V Krishnamurthy, C R Pranesachar
- Excursion in Mathematics
- Mathematical Olympiad Challenges; Titu Andreescu, Razvan Gelca
- Mathematical Gems Vol. 1, 2, 3; Dolciani Series

**Geometry**

- Geometric Transformations; Yaglom
- Lines and Curves; Vasilyev
- Problems in Plane Geometry; Sharygyn
- Geometry Revisited; Coxeter Greitzer
- Geometrical Etudes in Combinatorics; Alexander Soifer

**Number Theory**

- Elementary number Theory by David Burton
- Elements of Number Theory by Sierpinsky
- 104 Problems in Number Theory by Titu Andreescu

**Algebra**

- Elementary Algebra and Higher Algebra; Hall and Knight
- Inequalities through Problems; Venkatchala
- Inequalities; Korovkin (Little Math Library)
- Functional Equation; Venkatchala
- Complex Numbers from A to Z; Titu Andreescu

**Combinatorics**

- Principles and Techniques in Combinatorics; Chen Chuan-Chong, Koh Khee-Meng
- Introduction to Combinatorics; Brualdi

**Problem Books**

- Problem-Solving Strategies; Arthur Engel
- The Imo Compendium by Dusan Djuki, Vladimir Jankovi, Ivan Mati

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