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Indian National Mathematical Olympiad (INMO) - Pathway to International Recognition

by Homi Bhabha Centre for Science Education (HBCSE)

Grade 8 to 12FreeRegistration closed

Pathway to International Recognition

The Indian National Mathematical Olympiad (INMO) is a prestigious national competition by HBCSE for students in Grades 8-12, serving as a crucial step towards representing India at the International Mathematical Olympiad (IMO).

Mode

In-Person

Fee

Free

Participation format

Individual

Duration

4 hours

Eligibility

Open to Indian citizens and OCIs in Grades 8-12 (typically ages 13-18). Candidates must qualify through the RMO/IOQM or be a previous INMO awardee. Students should not have completed Class 12 or enrolled in a university course before specific dates. This is a nationwide opportunity with no location restrictions within India. The exam is 4.5 hours with 6-7 proof-based problems, total 102 marks. Qualification is through RMO (top 30 from Category A + 5 girls, top 6 from Category B).

Grade level
Grade 8 to 12
Age range
13 to 18 years
Eligibility region
Available nationwide across India
Academic requirement
Must have qualified the Regional Mathematical Olympiad (RMO) or Indian Olympiad Qualifier in Mathematics (IOQM). Previous INMO awardees are also eligible for direct entry. Students must be enrolled in a recognized school in India.
Prerequisites
  • Strong foundation in high school mathematics (Class 11-12 level)
  • To be eligible for INMO, a student must first qualify in the IOQM, followed by the RMO.

See if your child qualifies.

Rewards and recognition

Award

Scholarships & Cash Prizes

INMO awardees are eligible for an NBHM scholarship of ₹4,000/month for undergraduate studies in mathematics. Additionally, students who represent India and win medals at the International Mathematical Olympiad (IMO) receive cash prizes up to ₹5,000 from the government.

Prizes

Medals at International Level

While INMO itself does not offer physical prizes, qualifying for the Indian team provides the opportunity to win Gold, Silver, or Bronze medals at the prestigious International Mathematical Olympiad (IMO).

Gold MedalSilver MedalBronze Medal

Certificate

Certificate from HBCSE & NBHM

All INMO awardees receive a Certificate of Merit, which is highly valued by premier academic institutions in India for admissions and academic records.

Recognized by

National Board for Higher Mathematics (NBHM)Indian Institutes of Technology (IITs)Chennai Mathematical Institute (CMI)Indian Statistical Institute (ISI)Indian Institutes of Science Education and Research (IISERs)

Opens doors to

INMO awardees gain a significant advantage in admissions to India's top science and mathematics institutes. CMI and ISI offer direct admission to their undergraduate programs, often waiving the written entrance exam. IISc Bangalore, IIT Bombay (BS in Mathematics), and IIT Kanpur also have provisions for special consideration or direct admission for INMO qualifiers.

Career pathways

The rigorous training and national recognition from INMO build a strong foundation for elite careers in research, academia, data science, quantitative finance, and technology. The advanced problem-solving skills developed are highly sought after in these fields.

Recognition

National & International Recognition

Skills your child builds

Advanced problem-solvingLogical and analytical reasoningMathematical proof writingCreative thinkingNumber theoryCombinatoricsAbstract thinkingTime management

Key dates

Registration opened
1 Jun 2026
Registration closed
25 Jul 2026
Competition
17 Jan 2027

Various Examination Centers, Nationwide

How to apply

  1. 1Students who qualify RMO/IOQM are automatically registered for INMO by their regional coordinators. There is no separate application fee for INMO.
  2. 2Admit cards will be issued to eligible students a few days before the exam date, accessible via the HBCSE official website.
  3. 3Ensure all personal details are accurate as per school records for seamless registration.

Rules and guidelines

  • Participants must adhere to the specified exam duration of four hours.
  • All answers must be descriptive and include proper proofs and explanations.
  • Calculators, mobile phones, and other electronic devices are strictly prohibited during the exam.
  • Any form of unfair means will lead to immediate disqualification.
  • Rough work must be done on the answer sheet itself, which will be collected at the end of the exam.

Technology requirements

  • No specific technology required for the exam itself, as it is a pen-and-paper test.
  • Access to online resources and platforms for preparation is highly recommended.
  • No specific technology is required for the exam itself, as it is a traditional pen-and-paper test.
  • Access to online resources and platforms for preparation, such as past papers and problem-solving forums, is highly recommended for effective study.

About this opportunity

The Indian National Mathematical Olympiad (INMO) is a highly selective and prestigious competition for high school students across India, organized annually by the Homi Bhabha Centre for Science Education (HBCSE) under the aegis of the National Board for Higher Mathematics (NBHM). As the third stage of the Mathematical Olympiad Program, its primary goal is to identify, encourage, and nurture exceptional mathematical talent nationwide.

The INMO is renowned for its challenging, proof-based problems that demand deep conceptual understanding, rigorous logical reasoning, and creative problem-solving abilities, moving beyond mere rote memorization. Students who successfully qualify through the Regional Mathematical Olympiad (RMO) or the Indian Olympiad Qualifier in Mathematics (IOQM) are eligible to participate in the INMO. Achieving success in the INMO is a significant academic milestone, providing a direct pathway to the International Mathematical Olympiad Training Camp (IMOTC) and potentially leading to selection for the Indian team at the International Mathematical Olympiad (IMO).

The examination typically comprises 6-7 subjective problems, requiring comprehensive solutions with detailed proofs, to be completed within four hours. The syllabus covers advanced topics in algebra, geometry, number theory, and combinatorics, specifically excluding calculus and statistics. Beyond national and international recognition, qualifying INMO offers substantial academic and career advantages, including various scholarship opportunities and preferential admissions to top-tier institutions in India.

Exam format

Total marks
102
Duration
240 minutes
Format
Subjective, proof-based problems
Language
English

Rounds and format

The INMO is a single-stage examination. Successful candidates from the RMO/IOQM qualify for this stage. Top performers in INMO are then selected for the International Mathematical Olympiad Training Camp (IMOTC).

How entries are judged

Solutions are evaluated based on creativity, logical reasoning, depth of conceptual understanding, and the rigor of mathematical proofs. Each problem typically carries 17 marks.

Selection process

Selection for INMO is based on qualification in the preceding RMO/IOQM. Tie-breaking rules involve the number of perfect scores. The exam is 4.5 hours with 6-7 proof-based problems, total 102 marks. Qualification is through RMO (top 30 from Category A + 5 girls, top 6 from Category B).

How to prepare

  • Previous year INMO papers from HBCSE website
  • Books like 'Challenge and Thrill of Pre-College Mathematics', 'Problem Primer for Olympiads', 'Excursion in Mathematics'
  • Online platforms like Art of Problem Solving (AoPS)
  • Attending INMO-level mock tests or workshops

Academic details

AlgebraGeometryNumber TheoryCombinatoricsInequalitiesArithmetic of IntegersQuadratic Equations & ExpressionsTrigonometryCoordinate GeometrySystem of Linear EquationsFactorization of PolynomialsElementary CombinatoricsProbability TheoryFinite Series & Complex NumbersElementary Graph Theory

Difficulty: Advanced

What's covered

The syllabus primarily covers advanced pre-degree college mathematics, focusing on deep problem-solving skills in algebra, geometry, number theory, and combinatorics. It specifically excludes calculus and statistics. The problems are proof-based and require a profound understanding of concepts, original thinking, and mathematical maturity.

Frequently asked questions

What are the most effective strategies for students to succeed in the INMO competition?

Success in INMO requires a deep understanding of mathematical concepts, extensive practice with proof-based problems, and developing strong logical reasoning skills. Consistent study, analyzing past papers, and participating in mock tests are highly recommended for participants.

How can students manage performance anxiety and competitive pressure during the INMO exam?

Students can manage anxiety by focusing on their preparation, practicing time management during mock tests, and developing a positive mindset. Adequate rest, proper nutrition, and relaxation techniques before the exam can also contribute to better performance.

What common mistakes should participants avoid when preparing for and attempting the INMO?

Common mistakes include rote memorization instead of conceptual understanding, neglecting proof writing practice, and not managing time effectively during the exam. Participants should focus on rigorous problem-solving and presenting clear, complete solutions.

Beyond the IMO, what long-term benefits do students gain from participating in INMO?

Participation in INMO significantly enhances students' analytical and critical thinking skills, which are invaluable for higher education and careers in STEM fields. It also provides national recognition and preferential admission opportunities to top Indian institutions.

How are the problems in INMO different from typical school mathematics curriculum?

INMO problems are highly challenging, requiring creative thinking, deep conceptual understanding, and rigorous proof writing, unlike the more formula-based problems in school curricula. They focus on advanced topics in algebra, geometry, number theory, and combinatorics.

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Organization

Homi Bhabha Centre for Science Education (HBCSE)

View organization

Categories

Mathematics CompetitionsMathematics OlympiadsMathematics & Logical Reasoning

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