Jyoti Prakash Saha

Mathematics Olympiad, IOQM, RMO, INMO, Notes, Handouts, Problems, Solutions, Training Programs, Problem Solving Sessions, pdf.

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Practice problems, Problem Set, Questions, Answers, Problems, Solutions, Discussions, Walkthroughs, Hints, IOQM, RMO, INMO, Study material, Resources, Olympiad Notes, Olympiad Problems

Study materials for Math Olympiad in pdf (IOQM, RMO, INMO)

Lecture notes for Math Olympiad (IOQM, RMO, INMO)

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Topics Links
Algebra
Combinatorics
Geometry
Number Theory
INMO Training Camp 2025, MP
IMO Training Camp
MOPSS

International Olympiads

Participation of India in IMO, APMO, EGMO

For ease of reference, here is a brief overview of participation of India in IMO, APMO, EGMO in recent times, which relies on the information available at the following webpages, which are significantly more detailed.

There are several Mathematical Olympiads of International repute, where students participated from India. They include


Hello! I’m Jyoti Prakash Saha.


Mathematical Olympiad program in India

The Homi Bhabha Centre for Science Education (HBCSE) organizes the Math Olympiad program in India.

The Math Olympiad program organized by HBCSE, is the only one leading to participation in the following International Mathematical Olympiads.

No other contests are recognized.

Eligibility

  • The students enrolled in the 8th, 9th, 10th, 11th or 12th standard may participate in IOQM, provided certain additional conditions are met. The precise details are available at the webpage of the Homi Bhabha Centre for Science Education (HBCSE). Please visit this webpage for the updates and further details.

Some stages of the Math Olympiad program 2025 — 2026

graph LR
    Q(IOQM
    7th Sept, 2025) --> R(RMO
    9th Nov, 2025)
    R -- INMO Training Camp --> N(INMO
    18th Jan, 2026)
    N --> J(IMOTC
    May 2026)
    J --> P((PDC))
    P --> I{IMO}
    N --> E(EGMOTC)
    E --> F((EGMOPDC))
    F --> G{EGMO}
    N --> A{APMO}
  • IOQM (Indian Olympiad Qualifier in Mathematics)

    • Scheduled on 7th September, 2025.
    • The paper consists of 30 questions worth 100 marks in total.
    • There are 10 questions worth 2 marks, 10 questions worth 3 marks, 10 questions worth 5 marks.
    • Poster
    • Websites (to be referred for latest updates and information)
    • A few problems from IOQM 2023 have been discussed here.
  • RMO (Regional Mathematical Olympiad)

    • Scheduled on 9th November, 2025.
    • The paper consists of 6 questions.
    • It requires writing detailed proofs.
    • Websites: HBCSE.
    • The result of RMO 2024 may be found at this link.
  • INMOTC (Indian National Mathematical Olympiad Training Camp)
    • The schedule of the INMO Training Camps, to be held prior to INMO 2026.
    • The INMO Training Camp 2025 for the Madhya Pradesh region was held from 09.01.2025 to 12.01.2025 at IISER Bhopal. Details may be found at this page.
  • INMO (Indian National Mathematical Olympiad)

    • Scheduled on 18th January, 2026.
    • The paper consists of 6 questions.
    • It requires writing detailed proofs.
    • Websites: HBCSE.
  • IMOTC (International Mathematical Olympiad Training Camp)

    • About a month-long training camp, held usually in May.
    • Through the TSTs (Team Selection Tests), it leads to the selection of six students to represent India at IMO.
    • Websites: HBCSE.
  • PDC (Pre-Departure Camp)

    • Held before leaving for IMO.
    • Websites: HBCSE.
  • Past Question papers

    The past papers are available at the webpages of

    The links to the past Question papers along with AoPS links are available at this page.


  • For EGMO, the stages are IOQM, RMO, INMO, EGMOTC, EGMOPDC, EGMO (along with certain criteria at the stages).
  • For APMO, the stages are IOQM, RMO, INMO, APMO (along with certain criteria at the stages).
  • INMOTC is a camp, organized before INMO.

Why math olympiads are a valuable experience for high schoolers

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  • The post by Evan Chen on Lessons from math olympiads is worth reading.
  • In a previous post, titled Against the “Research vs. Olympiads” Mantra, Evan Chen discussed why math olympiads should not be judged by their relevance to research mathematics. He mentions that in that post, he failed to actually explain why he thinks math olympiads are a valuable experience for high schoolers. In the post Lessons from math olympiads, he puts the amends.
  • and the last, but not the least, could be to take a look at the following vision of the IMO Foundation, which is a charity supporting the International Mathematical Olympiad (IMO).

It is the aim of the IMO to bring young people together from all over the world to enjoy the challenges of mathematics in a spirit of friendly competition. This provides a stimulus for Mathematics in each of the participating countries as young people strive for selection. Whist clearly it is a competitive event, for most participants, it is the people that they meet and the shared joy of discovery that is what they regard as most worthwhile. It is common that lifelong friendships are forged at IMO events.


Geoff Smith

is a British mathematician. He has been the leader of the UK IMO team during 2002–2010, 2013–2018, 2022. He has been awarded the IMO Golden Microphone thrice (during 2006, 2009, 2014).

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He remarked the following in the foreword to the text Infinity by Hojoo Lee, Tom Lovering (he maintains a blog), and Cosmin Pohoata.

The nations which do consistently well at this competition (IMO) must have at least one (and probably at least two) of the following attributes:

  • A large population.
  • A significant proportion of its population in receipt of a good education.
  • A well-organized training infrastructure to support mathematics competitions.
  • A culture which values intellectual achievement.

Alternatively, you need a cloning facility and a relaxed regulatory framework.

Here is an excerpt from his Advice for young mathematicians.

From time to time I am approached by students interested in advice about becoming more effective contestants in mathematics olympiads. Here it is.

Do lots and lots, and then more, past papers. Begin with national mathematical olympiads, starting with the less difficult papers. Now, I am not going to risk insulting any countries by saying that their national maths olympiads are easy. Work it out for yourself. Countries which have small populations, and no great tradition of success in maths competitions, will generally have easier questions. When you become very good at those, then move on to hard national maths olympiad problems and the less demanding international competitions.

I am often approached by students from developing countries. Sometimes students complain that there is no satisfactory educational or training regime in my country. Please check that this is true! The IMO contact person in your country may tell you otherwise. In the worst case, where there is no competent organization providing free (or nearly free) assistance to young mathematicians, then you will have to help yourself. Try to locate other young people in your country who are interested in mathematics, and work together. Fortunately there is a vast collection of free resources on the internet: over 25 thousand past problems from maths competitions are available at the extensive Art of Problem Solving site, and if you explore, you will find discussions of solutions. Don’t look up the solutions too quickly (be prepared to spend many hours thinking about each problem). If you want to start on some problems which are less demanding than a full national maths olympiad, here are plenty of British Maths Olympiad round 1 problems. The round 2 problems are more challenging.


Goal of this website (aka Why another website? What is its use?!)

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  • To provide a brief introduction to Mathematical Olympiad.
  • To serve as a website for the MOPSS program at IISER Bhopal, to be held in person, from August 2024 to November 2024.
    • We have plans to post notes containing the details of those sessions.
  • To provide handouts on the topics of Algebra, Combinatorics, Geometry, and Number Theory, and to have them arranged across different sub-topics.
    • These notes may be helpful to the students who would like to have a look at some of the past RMO problems, in order to have an idea of the notions/topics involved, and/or to have a glimpse before getting started, or just curious about it.
    • These notes may also be helpful to the students, who would like to prepare and would like to have the relevant questions organized across the topics and sub-topics.

I am enthusiastic about math/math olympiads and/or teaching math to high schoolers. How may I contribute?

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  • One may reach to schools, to high schoolers.
  • One may explain about Olympiads, and spread awareness about it.
  • One may encourage people (for instance, students, teachers or anyone enthusiastic/curious about math olympiad) to go through this website (and suggest a careful reading of the homepage!).
  • Next, a student interested in math olympiad, may browse through the handouts posted here (this will grow with time).
  • A person with passion in teaching high school students could use the handouts as a problem bag, or in other way.
  • What else? For instance, if one has interest in a science subject(s) other than (or parallel to) mathematics, then one may refer to the webpage of HBCSE, which has information about olympiads (past papers) on the following subjects, and may repeat the same process as above adapted to those subjects!
    • Astronomy
    • Biology
    • Chemistry
    • Junior Science
    • Physics

I do not have much time for the above, but I find it interesting. Is there something that I can do?

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news

Jun 30, 2025 Mathematics Olympiad Problem Solving Sessions (MOPSS) will be held during 9:00am to 12:00pm at IISER Bhopal in person offline classroom meetings on the following dates.
  • 5th July , 19th July , 2025.
  • 9th August , 23rd August, 2025.
  • 27th September, 2025.
  • 11th, 25th October, 2025.
  • 22nd November, 2025.
Please visit this page for the details.
Jul 03, 2024 The deadline for submitting application for MOPSS has been extended to 21st July, 2024. The students enrolled in the 11th or 12th standard may write to Jyoti Prakash Saha ( jpsaha@iiserb.ac.in) if they would like to participate in MOPSS.
Jun 01, 2024 Mathematics Olympiad Problem Solving Sessions (MOPSS) will be organized at IISER Bhopal. Please visit this page for the details.

latest posts

Aug 07, 2025 MOPSS, 9th August 2025
Jul 18, 2025 MOPSS, 19th July 2025
Jul 03, 2025 MOPSS, 5th July 2025
Jun 02, 2025 Orders
Jun 02, 2025 Gauss's lemma
Apr 20, 2025 Chinese remainder theorem
Apr 17, 2025 Primes, divisors and congruences
Apr 16, 2025 System of equations
Apr 09, 2025 Binomial coefficients
Apr 07, 2025 Quadratic polynomials
Apr 07, 2025 Using identities
Apr 07, 2025 Induction
Apr 07, 2025 Cubic polynomials
Apr 04, 2025 Telescoping
Apr 03, 2025 Inequalities
Mar 24, 2025 System of equations
Mar 17, 2025 Integer divisibility
Mar 17, 2025 Lagrange interpolation
Mar 17, 2025 Crossing the $$ x $$-axis
Mar 08, 2025 Roots of unity
Mar 07, 2025 Size of the roots
Mar 06, 2025 Finite differences
Mar 06, 2025 Differentiation and multiple roots
Mar 05, 2025 Viete's relations
Feb 25, 2025 Generating functions
Feb 24, 2025 Counting in two different ways
Feb 23, 2025 Counting the complement
Feb 22, 2025 Counting via bijections
Feb 21, 2025 Counting
Feb 20, 2025 Grouping in pairs
Feb 20, 2025 Arrange in order
Feb 19, 2025 Extremal principle
Feb 18, 2025 Pigeonhole principle
Feb 17, 2025 Invariance
Feb 16, 2025 Inclusion-exclusion principle
Feb 15, 2025 Induction
Feb 14, 2025 Auxiliary configuration
Jan 10, 2025 INMOTC 2025 (MP region), Algebra
Jul 19, 2024 Past Question Papers of Pre-RMO, IOQM, RMO, INMO, EGMOTC, IMOTC
Jul 17, 2024 Rational and irrational numbers
Jul 05, 2024 Arithmetic progressions
Jun 26, 2024 IOQM 2023 Questions, Discussions
Jun 23, 2024 More on Polynomials
Jun 22, 2024 Binomial theorem
Jun 21, 2024 Functional equations
Jun 19, 2024 Growth of Polynomials
Jun 18, 2024 Quartics
Jun 17, 2024 Cubic polynomials
Jun 16, 2024 Quadratic polynomials
Jun 15, 2024 Polynomials
Jun 14, 2024 Invariance principle
Jun 13, 2024 $$ a^3+b^3+c^3 - 3abc $$
Jun 12, 2024 Warm Up
Jun 03, 2024 Problem set for MOPSS
May 17, 2024 Coloring proofs
May 15, 2024 Warm Up
May 08, 2024 Outreach program, IISER Bhopal, 08 May, 2024
May 01, 2024 Notes on RMO
May 01, 2024 Notes on IOQM
May 01, 2024 Notes on INMO
May 01, 2024 Mathematics Olympiad Handouts
May 01, 2024 Lecture notes on Mathematical Olympiad