Mathematical Olympiad 2018-19

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The Mathematical Olympiad Programme in India is organized by the Homi Bhabha Centre for Science Education (HBCSE) on behalf of the National Board for Higher Mathematics (NBHM) of the Department of Atomic Energy (DAE), Government of India.

For the purpose of training and selection of students for the Olympiad contest, 25 regions all over the country have been designated and each assigned a Regional Coordinator. Additionally, two groups of schools: Jawahar Navodaya Vidyalayas (JNV) and Kendriya Vidyalayas (KV) are also treated as separate regions and have a ‘Regional Coordinator’ each.

Mathematical Olympiad Programme (MOP)  in India consists of six stages as outlined below:  math

Stage 1: Pre- Regional Mathematical Olympiad (PRMO)

Exam Date & Time: 10:00 AM – 1:00 PM (3 Hrs.) ; 19th August 2018

Number of Question : 30 (The answer to each question is either a single digit number or a two digit number)

Medium of Paper: Hindi and English Medium (*  Students who require the Hindi version will need to indicate their choice at the time of registration for PRMO.)

Eligibility: Candidates born on or after August 1, 1999 and are studying in Class 8, 9, 10, 11 or 12, are eligible to write PRMO 2018. Further candidates must be Indian citizens.

On the basis of performance in PRMO, up to 300 students from Classes 8,9,10,11 and up to 60 students from class 12 will be selected to participate in RMO from each of the regions other than KV and JNV. 

For KV and JNV, up to 5 per cent top performers from Classes 8, 9, 10, 11 and up to 1 percent from Class 12 will be selected to participate in RMO.

The organizational responsibility for conducting the PRMO exam is jointly with the Indian Association of Physics Teachers (IAPT: and the Mathematics Teachers Association (MTA:

A link to a portal will be made available at where schools can register as “registration centres”. During students’ registration, these registration centres are expected to accept fees from students from any school and register them at the portal.

The fee will be Rs 220 for each student and the registration centre will retain Rs 20 (to be used for making student lists and printing admission tickets) and transfer the rest to the address mentioned. There will be a reduced fee for KV and JNV students whose schools will be used for conducting the PRMO.

Portal will be open from June 1 to June 15 for centre registration and from June 1 to June 30 for student registration.

The centre registration closes on June 15, 2018.

The list of “registration centres” will be available on the PRMO website from June 15 2018.

The KVs and JNV schools will be exam centres. Certain other exam centres may be selected carefully and will be mentioned on the website.

Each regional co-ordinator (including the co-ordinators for the groups KV and JNV) will receive the list of students eligible to write RMO by September 15th. Each Regional Co-ordinator shall conduct the RMO in her/his region on October 7th, 2018. The list of students who qualify for RMO will also be announced on the HBCSE website.

Stage 2: Regional Mathematical Olympiad (RMO):

Exam Date: 1.00 p.m. and 4.00 p.m ; Sunday, 7th October 2018 

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).

In the context of participation in EGMO it is decided that up to five girls be additionally selected ONLY FROM AMONG STUDENTS STUDYING IN CLASSES 8, 9, 10 and 11, apart from the general quota of 30 students for each region. Girl students studying in Class 12 will not be eligible for the additional girls’ quota.

The results of RMO for all the regions are to be declared centrally by HBCSE on or before 6th December, 2018

Stage 3: Indian National Mathematical Olympiad (INMO)

Exam Date: 12.00 PM to 4.00 PM, January 20, 2019

This contest is a four hour written test.

Only those students who are selected in RMO 2018 and those who have received an INMO certificate of merit in 2018 are eligible to appear for the INMO 2019.

On the basis of the INMO, the top 30 students from Classes 8, 9, 10, 11 and the top 6 students from Class 12 in merit from all over the country will be chosen as INMO awardees. 

In addition to INMO awardees, the next 45 students who have performed well in INMO, but have not qualified as INMO awardees, are awarded INMO certificates of merit. These students will be eligible to appear for INMO 2020 directly without qualifying through RMO 2019.

In addition to the INMO awardees, up to five girl students (outside the INMO awardees list) will be chosen based on the performance in INMO, for training and possible selection in the EGMO 2020 team. Girl students studying in Class 12 will not be eligible for the additional girls’ quota.

All INMO awardees, the selected girl students as above and all the students designated as senior students of IMOTC 2018 will be eligible to write APMO. The APMO tests will be held in the respective regions.

The INMO results will be declared in the last week of February.

Stage 4: International Mathematical Olympiad Training Camp (IMOTC)

The INMO awardees and the girls selected from INMO for training are invited to a month long training camp in April-May each year at the Homi Bhabha Centre for Science Education (HBCSE), Mumbai. Besides, the INMO awardees from the previous years and the selected girl students of the previous year’s who are eligible for IMO-2018/EGMO-2019 and have gone through postal tuition throughout the year satisfactorily are
invited to the training camp as senior students.

On the basis of a number of selection tests during the Camp, a team of the best six students is selected from the combined pool of junior and senior batch participants as the IMO 2019 Team.

Stage 5: Pre-Departure Training Camps

The selected team of six students goes through another final round of training and orientation for about ten days prior to departure for IMO. A Pre-departure camp will also be arranged for girl students selected for participation in EGMO 2019, at a suitable time.

Syllabus for Mathematical Olympiad: The syllabus for Mathematical Olympiad (pre-regional, 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
  • 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 high level of difficulty and sophistication. The difficulty level
increases from PRMO to RMO to INMO to IMO.

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