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Maths Olympiad (IOQM/RMO/INMO) Previous Year Question Papers

Mathematical Olympiad (IOQM, RMO and INMO)

Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research126 papers · 2000–2026Verified 12 Oct 2026

Papers by year

All 126 papers

About Maths Olympiad (IOQM/RMO/INMO)

HBCSE runs the National Mathematical Olympiad Programme that selects India's teams for the International Mathematical Olympiad (IMO), EGMO and APMO. The first stage is the Indian Olympiad Qualifier in Mathematics (IOQM, conducted with the Mathematics Teachers' Association (India) and called PRMO until 2019), an objective paper in September; qualifiers write the proof-based Regional Mathematical Olympiad (RMO) in November and then the Indian National Mathematical Olympiad (INMO) in January, whose awardees attend the IMO Training Camp. For 2026-27 the brochure lists IOQM on 6 September 2026, RMO on 15 November 2026 and INMO on 17 January 2027.

Stages & subjects

  1. 1

    IOQM (Indian Olympiad Qualifier in Mathematics; PRMO up to 2019)

    Stage 1: objective OMR paper, 30 questions with integer answers 00-99

  2. 2

    Regional Mathematical Olympiad (RMO)

    Stage 2: six proof-based problems in 3 hours

  3. 3

    Indian National Mathematical Olympiad (INMO)

    Stage 3: six proof-based problems in 4.5 hours

AlgebraNumber TheoryCombinatoricsGeometry

Exam pattern

Summarised from the official notification. Patterns change; confirm in the latest notice.

IOQM (Indian Olympiad Qualifier in Mathematics; PRMO up to 2019)

SectionQsMarksTime
2-mark questions2 marks each; integer answers 00-9910——
3-mark questions3 marks each10——
5-mark questions5 marks each10——
Total301003 hours
  • No negative marking
  • OMR-based, offline (pen and paper)

Mathematical Olympiad brochure 2026-27 (IOQM on 6 September 2026) · official source

Regional Mathematical Olympiad (RMO)

SectionQsMarksTime
Proof-based problemseach question 17 marks61023 hours
  • Descriptive; offline (pen and paper)

Mathematical Olympiad brochure 2026-27 (RMO on 15 November 2026) · official source

Indian National Mathematical Olympiad (INMO)

SectionQsMarksTime
Proof-based problemseach question 17 marks61024.5 hours
  • Descriptive; offline (pen and paper)

Mathematical Olympiad brochure 2026-27 (INMO on 17 January 2027) · official source

Preparing with Maths Olympiad (IOQM/RMO/INMO) papers

  • Start with the most recent paper (2026) to see the current style, then work backwards.
  • Practise each stage separately: IOQM (Indian Olympiad Qualifier in Mathematics; PRMO up to 2019), Regional Mathematical Olympiad (RMO), Indian National Mathematical Olympiad (INMO).
  • Official answer keys are available for some years. Check your answers against them, not against unofficial solutions.
  • Re-check the syllabus in the latest notification before relying on older papers.

FAQs

Where can I download Maths Olympiad (IOQM/RMO/INMO) previous year papers?

PYQSathi lists 126 Maths Olympiad (IOQM/RMO/INMO) papers from 2000 to 2026, each linked to its official source. Open the paper library above and pick a year.

Who conducts Maths Olympiad (IOQM/RMO/INMO)?

Maths Olympiad (IOQM/RMO/INMO) is conducted by the Homi Bhabha Centre for Science Education (HBCSE), Tata Institute of Fundamental Research. Notifications, dates and results are published on its official website.

Is this information official?

No. PYQSathi is independent. We summarise official documents and link to them, last checked 12 Oct 2026. Always confirm on the official website before applying.

Official sources

Last verified 12 Oct 2026. Spotted something out of date? Tell us.

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