Mathematical Olympiad 2020-2021

(Updated on 5th May 2021)

Important update on Mathematical Olympiad

Announcement regarding next stages of Mathematical Olympiad in 2020-2021

The following announcements are made with regard to the next stages of the Mathematical Olympiad. It is to be noted that the pandemic situation in the country is evolving and all decisions and dates in the following may need to be revised at short notice. These decisions are taken after due deliberations at various levels and approved by the National Board for Higher Mathematics, the government-appointed supervisory body for the Mathematical Olympiad.

Students and parents are requested not to approach HBCSE with alternative proposals or requests to alter these decisions.

A. Online Mathematical Olympiad Orientation Camp (MOOC):
The IMOTC for the year 2021 stands cancelled in view of the severe pandemic situation in the country.
Mathematical Olympiad Orientation Camp (MOOC) is being held online from May 1 to May 15, 2021 and it was announced on Olympiad website of HBCSE on April 24, 2021.
No selection tests will be held during or after this camp.
All students maintaining a minimum of 80% attendance in the online MOOC will receive a Certificate of Participation.

B. Participation in International Mathematical Olympiad:
As of now, it is expected that the Indian team will participate in the online International Mathematical Olympiad (IMO; July 14–24). However, the pandemic situation will be reviewed again around 15 June, and a final decision will be taken regarding participation in this event.
Participation in online IMO will only be possible from HBCSE, Mumbai. Selected Indian team members must travel to and stay in HBCSE, Mumbai for a minimum period (specified below) for this.

C. Selection of Indian team:
The selection of the Indian team for IMO will be made on the basis of the merit list of MOOC 2021, as per the following procedure:

(a) The following criteria will be used to prepare the merit list of MOOC 2021:

  • Top 30 (Class XI or below category) + 6 (Class XII category) + 5 (girl students irrespective of the number of girl students qualifying in the class XI or below category. No girl student from class XII is eligible to qualify in the girls category.) would have constituted the Junior Batch of IMOTC 2021 if it were held. These students will be included in a list, L1, say.
  • All the INMO awardees from 2020 or earlier who attended IMOTC 2020 and are eligible to participate in IMO 2021 and EGMO 2022 as per the criteria, would have been selected for IMOTC 2021 Senior Batch provided they wrote INMO 2021 examination and secured a score equal or above a cut-off score C defined as follows:
    1. C = max(C1, C2) where
      (i) C1 is the INMO 2021 score of the person in the 30th position in Class XI or below category.
      (ii) C2 is the INMO 2021 score of the person in the 6th position in the Class XII category.
      All these students will be included in a list, L2, say.
    2. If any student in this category has secured a score S such that,
                       min(C1, C2) ≤ S < max(C1, C2)
      then that student will be included in L1.
  • The two lists, L1 and L2, will be merged to form a list L.
  • The list L will be sorted in descending order of INMO 2021 final marks to produce the merit list of MOOC 2021.

(b) Each student in the merit list of MOOC 2021 will receive the INMO Awardee certificate and the INMO Awardee certificate will be given ONLY to the students in the merit list of MOOC 2021.

(c) The top six students in the merit list of MOOC 2021 will be selected provisionally for the Indian team.

(d) Any student not satisfying any of the following clauses cannot be a part of the Indian team. The vacant position will be offered to the next eligible student in the merit list of MOOC 2021.

(e) In case the number of students holding the same rank in the merit list of MOOC 2021 is greater than the remaining number of seats available in the team, their IOQM scores will be used to break the tie. In case, this fails to break the tie or is not applicable, HBCSE will announce a suitable tie-breaker criterion.

(f) In case a student becomes eligible for selection in the Indian team in more than one subject (including Physics, Chemistry, Biology), the preference of OCSC/IMOTC declared by the student during IOQ registration will be used to decide the selection. If the student goes on to participate in the IMO or IO of some subject, he/she would automatically become ineligible for selection in any other IO (including Astronomy and Junior Science) of 2021.

(g) A student must maintain a minimum attendance of 80% in the online MOOC. Failure to do so will automatically disqualify the student from consideration in the team selection.

(h) HBCSE will announce the provisional team for IMO on June 10, 2021.

(i) A selected student must submit a written undertaking to confirm agreement to the following, by June 15, 2021. In case this is not received, the next student in the merit list will be offered a seat in the team.

i. There would be a Minimum Stay Period (MSP) at HBCSE, Mumbai for every selected student. This period will include a mandatory quarantine period required under
local Covid protocols. Currently, this is specified as follows:
    IMO: July 12, 2021 to July 22, 2021
This period may be extended or shifted slightly by HBCSE, depending on the requirements of IMO, or the pandemic situation.

ii. The student must reside 24 hours inside the HBCSE campus during the entire MSP. During this period, he/she will not be permitted to go out of the campus or meet his/her parents or any external person. For a part of this period — between the inauguration of the IMO and the last exam, the student will need to surrender all his/her electronic and communication devices (phones, laptops, tablets, etc.), and shall be without any electronic connectivity, as per the usual regulations of the IMO. No exception to these conditions will be made, except in a medical emergency.

iii. No accommodation will be provided by HBCSE to any accompanying person.

iv. The date of the first board examination of the student must not be earlier than 1 day after the end date of the MSP. The date of the last board examination of the student must not be later than 1 day prior to the start date of the MSP. The student must provide documentary proof of this (copy of his/her admit card for board examination and an authentic copy of the board examination schedule).

v. The student must not be appearing in any competitive or other examination during the period of MSP. Information about any examination that the student is appearing in between July 1 and July 31 must be voluntarily disclosed by the student.

vi. The student must satisfy all Covid-related requirements stipulated by the central and local government and the international Olympiad body. These may include but are not limited to, recent negative Covid tests, mandatory quarantine periods, vaccination, etc.

vii. HBCSE shall reserve the right to remove a student from the team due to concerns of health and possible clash of examination schedule of the IMO and other examinations that the student is participating in.

(j) Medical assistance:

(i) Non-Covid cases: HBCSE expects to arrange adequate medical care; this will be confirmed closer to the date.

(ii) Covid cases: Prevailing norms of Brihanmumbai Municipal Corporation (BMC) will be followed and medical help will be sought through the war rooms set up by BMC for this purpose. Covid norms of BMC will be adhered to.

(k) The Indian team will be finalized at least 7 days prior to the start of the IMO, or the registration deadline of the IMO, whichever is earlier.

Merit list of MOOC 2021

INMO 2021 Roll NoRank

The list is arranged in descending order of the INMO 2021 marks. If there are n (n>1) students occupying the same rank, the next (n-1) rank is skipped.

INMO 2021 results 

Final marks of INMO 2021 examinations (only for those who applied for re-evaluation of their INMO 2021 scripts) are now available. Students may check them here ( The final marks of the students who did not apply for re-evaluation are the same as their provisional marks.

INMO 2021: Final Marks

  • Only those who applied for re-evaluation of their INMO 2021 scripts can view their final marks. The final marks and the provisional marks are the same for those who did not apply for re-evaluation

INMO 2021 Question Paper and Solutions

Question Paper
For viewing use PDF password: PotterEvansVerres —> click here.

For viewing the solution for INMO 2021, click here.

Common mistakes made by contestants in INMO 2021
For viewing the common mistakes made by contestants in INMO 2021, click here.

Announcement of IOQM-KV 2021 Result

For viewing the results of IOQM-KV 2021, click here.

INMOTC 2021 Announcement

The online Training Camp for students selected to appear for INMO 2021 examination will be held via virtual mode from February 27 to March 4, 2021. The details of the camp will be intimated to all selected students very soon.

Eligibility criteria for INMO 2021 and selection criteria for IMOTC 2021

Announcement of IOQM 2021 Results

The final result of IOQM 2021 is announced and uploaded on MTA(I) website.
Visit the following link:

Provisional Scores for IOQM exam

The scores for IOQM are uploaded on the following link:

Students can contact helpdesk (080-49087030 / 49087020 or send mail to if you have any queries/concerns on the provisional score before 5pm on Thursday, 11th February. The IOQM2021 Scores & The INMO selection list will be published by Sunday, 17th February.

Provisional Answer Key of IOQM held on January 17, 2021

The Question Paper and provisional Answer Key of IOQM held on January 17, 2021 is uploaded on

Due to the COVID-19 pandemic, the national Olympiad programme in Mathematics culminating in the International Mathematical Olympiad (IMO) 2021 and European Girls’ Mathematical Olympiad (EGMO) 2022 is now a three-stage selection procedure instead of four stages.

Due to the COVID-19 pandemic, the national Olympiad programme in Mathematics culminating in the International Mathematical Olympiad (IMO) 2021 and European Girls’ Mathematical Olympiad (EGMO) 2022 is now a three-stage selection procedure instead of four stages.

  • The first stage is a three-hour examination called IOQM organized by the Mathematics Teachers’ Association (India).
  • The second stage will be an Indian National Mathematical Olympiad (INMO) organized by the Homi Bhabha Centre for Science Education (HBCSE), TIFR.
  • The third stage will be the International Mathematical Olympiad Training Camp (IMOTC) organized by HBCSE.

IOQM (2020-21) Registration and Enrollment Details

Note for KV and JNV students: Students of Kendriya Vidyalayas and Jawahar Navodaya Vidyalayas are not eligible for the IOQM exam announced here. A separate qualifier exam (IOQM-KV and IOQM-JNV respectively) will be conducted for these students at a later date. Please await details of these exams on the KVS and NVS websites respectively.

Eligible students are invited to directly register and enroll themselves ONLINE for the first stage (IOQM) on the IAPT website. Please note that this is a two-step procedure common to mathematics and science olympiads. Once you register, please make sure that you complete the enrollment by making the payment of fees. A student who has not completed the enrollment for the examination will NOT be able to appear for the exam.

For registration and enrollment:

Last date for registration and completion of enrollment has been extended to  DECEMBER 5, 2020.

To find out whether you are eligible for IOQM 2020-21 please refer to the details given here: Eligibility and Selection Criteria (PDF)

IOQM (2020-21) Examination Details

The IOQM exam is organised by the Mathematics Teachers’ Association (India) – MTA(I) with support from the Indian Association of Physics Teachers (IAPT) and Homi Bhabha Centre for Science Education (HBCSE).

Day and Date: Sunday, January 17, 2021
Time of exam: 9 am to 12 noon
Venue: Designated IOQM Centres
Type of exam: Three hour paper and pen exam with responses to be written on OMR sheet. The IOQM will have 30 questions with each question having an integer answer in the range 00-99. The syllabus and standard of this examination will be the same as that of PRMO of previous years. Sample questions can be downloaded from here
Language of the question paper: English and Hindi (Option to be chosen during enrollment)

If you are exempted from writing IOQM (that is if you have already qualified for INMO 2021 as per the selection criteria given here) and would like to appear in at least one of the Indian Olympiad Qualifier (IOQ) 2020-2021 of science subjects then please follow the steps given below:

  1. Complete your registration and enrollment for the IOQ in the science subject(s) that you are interested in by following the instructions at this link:
  2. Indicate the order of preference of Science OCSCs to complete the registration and enrollment process.
  3. Mail your complete list of preferences of OCSCs and IMOTC (including mathematics) along with your registration number to after completing Step 2 above.

INMO 2021 Examination Details

The Indian National Mathematical Olympiad (INMO 2021) examination is organised by the Homi Bhabha Centre for Science Education – Tata Institute of Fundamental Research (HBCSE – TIFR).

The INMO 2021 will be a four-hour examination with 6 questions. The syllabus and standard of this examination will be the same as that of the INMO of previous years. For syllabus and past papers go to and click on the tab “How to prepare”.

The schedule for INMO 2021 is Sunday, March 7, 2021, from 12:00 – 16:00 hrs.
(Please note that the schedule is subject to change at short notice,
depending on the prevailing pandemic situation in the country.)

There will not be any examination equivalent to the Regional Mathematical Olympiad for the 2020-2021 cycle. The criteria for qualification from IOQM to INMO 2021 may be found here: Eligibility and Selection Criteria (PDF)