What is PRMO (Pre Regional Mathematical Olympiad)?

Pre-RMO exam is the first step to Indian Mathematical Olympiad. The mathematical olympiad program is a five-stage process conducted under the aegis of the National Board for Higher Mathematics (NBHM). The first stage PRMO is conducted by the Mathematics Teachers’ Association (India). All the remaining stages are organized by Homi Bhabha Centre for Science Education (HBCSE).

The National Board for Higher Mathematics (NBHM) is in charge of the mathematical olympiad activity for the country. Mathematics Teachers’ Association (India) (MTA) has been recognized by NBHM as the body which will conduct PRMO and whose results will be recognized by HBCSE for further selection processes of the Indian Mathematical Olympiad. In order to be eligible for selection to the next stage of the Mathematical Olympiad Programme in India, namely, the Regional Mathematical Olympiad (RMO) it is mandatory that students qualify through this centrally administered PRMO. No other independently administered examinations will be recognized.

Who can participate in this exam?

Eligibility: Candidates born on or after August 1, 2001 and studying in Class 8, 9, 10, 11 or 12 are eligible to write PRMO 2020. Further, the candidates must be Indian citizens. Provisionally, students with OCI cards are eligible to write the PRMO, subject to conditions as explained below: As per the orders of the Madras High Court, students with OCI status will not be eligible for selection to the Indian team in the International Mathematical Olympiad. However, such students are provisionally eligible for selection at ALL prior stages, up to and including the IMOTC provided they fulfill all other criteria. This policy is subject to revision without prior notice depending on any further orders issued by the courts, or by a competent Government authority.

What is the syllabus of PRMO?

• Number Theory:  Divisibility of Integers, Mathematical Induction, Prime Numbers, Division Algorithm, The Euclidean Algorithm, Fundamental Theorem of Arithmetic, Congruences, Fermat’s, Euler, Wilson, and Lagrange’s Theorem, Chinese Remainder Theorem, Arithmetic Functions, and their properties, Representation of a positive Integer.

• Polynomials- Complex numbers, Real Numbers, Rational Numbers, Irrational Numbers, Division Algorithm, Remainder Theorem, Factor Theorem, Fundamental Theorem of Algebra, Vieta’s Formula.

• Inequalities- Comparison Method, A.M. G.M. H.M. Inequality, RMS Inequality, Cauchy-Schwartz Inequality, Tchebycheff’ s Inequality.

• Combinatorics- Addition Principle, Multiplication Principle, Bijection Principle, Permutations and Combinations, Circular Permutations, Permutations with Repetitions, The Pigeonhole Principle.

• Trigonometry- Trigonometric Functions, Ratios, Graphs, Trigonometrical Identities, Heights, and Distances.

• Geometry- Straight Lines and Triangles, Circles, Properties of Triangles.

• Introduction to Sequences and Series.

• Elementary Graph Theory.

Exam Pattern and Past Year’s Question Papers:

The PRMO will be a machine-correctable 3-hour duration test with 30 questions. Each question has an answer which is a number with one or two digits. Sample PRMO questions and Sample OMR sheet showing marked answers can be downloaded from http://olympiads.hbcse.tifr.res.in/how-to-prepare/past-papers/.

How to register for PRMO?

Schools can register as “registration centres” for PRMO at this link: https://mtaexam.com. (registrations will start soon) In order to register students individually or in groups, the registration centres will collect the exam fees from the students from any school and register them at the portal. The fee will be Rs 230.00 for each non-KV and non-JNV student. The registration centre will retain Rs 20.00 (to be used for making student lists and printing admission tickets) and remit the balance of Rs 210.00 to MTA. There will be a reduced fee of Rs.125.00 for each KV and Rs.100 for each JNV student. For such students, the registration centre will remit the entire amount (Rs.125 or Rs.100) to MTA.

All KV and JNV students have to register through their schools to avail the reduced fee.

All Kendriya Vidyalaya, Jawahar Navodaya Vidyalaya and Atomic Energy Central Schools may also register as registration centres and may accept to register students from other schools.

Selection Procedure:

A carbon copy of the answer (OMR) sheet will be given to the student after the exam; students can check their answers as against the answers which will be uploaded on the MTA website.NOTE: The OMR sheet MUST be retained by the individual student till the conclusion of the Mathematical Olympiad Programme for 2019-20. This will be used for verification purposes for all steps of the Mathematical Olympiad.

From each region, the top (up to) 300 students from Classes 8, 9, 10, 11 and the top (up to) 60 students from Class 12 will be eligible to write the Regional Mathematics Olympiad exam. For the KV, JNV schools which have a countrywide coverage, the number to be selected is up to 5 per cent from Classes 8, 9, 10, 11 and up to 1 per cent from Class 12, of the number of registrations.

The list of students who qualify for RMO will also be announced on the HBCSE website.  All further steps of the Indian Mathematical Olympiad programme, subsequent to the PRMO exam, will be conducted by HBCSE. For details go to this link: https://olympiads.hbcse.tifr.res.in.

For Pre RMO Coursework: Click Here