Who can take IOQM?
For 2026, the published class range is 8–12 and the date-of-birth window is 1 August 2007 to 31 July 2014. Citizenship, residence and education conditions also apply.
Read every eligibility condition →Independent exam information and free mathematics resources
IOQM: Indian Olympiad Qualifier in Mathematics
IOQM is the Indian Olympiad Qualifier in Mathematics, the first stage of India’s Mathematical Olympiad programme. Conducted by the Mathematics Teachers’ Association (India), it tests mathematical problem solving and is the qualifying stage for RMO. Find exam information, the syllabus, previous papers and free preparation guidance below. IOQM.in is an independent Mathiit resource, not the examination organiser.
Simple explanationsPrevious papersTeacher-style syllabus
OFFICIAL CUTOFFS RELEASED · 22 OCTOBER 2026
IOQM 2026 official cutoffs and result
The official IOQM 2026 RMO cutoffs are released. See all 32 regions and the Category A, Girls and Category B marks in our official cutoff table, with the source PDF. Check your individual qualification status in the official Student Login.
RMO registration opens on 2 November 2026. National and regional certificate cutoffs are still pending. Scores are available; score challenges are closed.
Review your paper and score
Download the 2026 paper and use worked solutions to review your attempt. The official cutoff table is free to read without registration. Mathiit’s detailed solutions are separate educational resources and may require WhatsApp verification.
Exam essentials
IOQM at a glance
Use the year-specific rules when checking eligibility or qualification. A preparation-course enrolment is separate from official examination registration.
What is the paper like?
The recent format is a three-hour, 30-question, 100-mark numerical-answer paper. Answers are recorded on OMR; the 2026 portal states that there is no negative marking.
Questions, marks and OMR format →Where are official services?
Use MTA(I) announcements and the official student portal for exam registration, scores and notices. The 2026 examination was held on 6 September.
MTA(I) announcements ↗ · Student Login guide →What happens after IOQM?
Eligible qualifiers progress to RMO under the published regional and category rules. A certificate threshold and an RMO-selection cutoff can be different.
Current cutoff status → · Full Olympiad pathway →2026 facts checked against the official IOQM portal on 22 October 2026. For later examinations, wait for the relevant year’s official notice.
Choose what you need today
Explore IOQM: syllabus, papers and preparation.
You do not need to read the whole website. Pick one question and continue from there.
1
What is a Mathematics Olympiad?
See the illustrated journey from IOQM to the later proof-based stages.
Understand the journey →2Where are the previous papers?
Open IOQM and RMO resources by stage and year.
Browse papers →3What is in the syllabus?
Learn the four domains through simple examples and drawings.
Teacher explains →4How should I begin preparing?
Check your starting level, build a weekly routine and review mistakes.
Read the preparation guide →Mathematics Olympiad in one glance
The questions become deeper as the student progresses.
IOQM focuses on strong numerical problem solving. RMO and INMO increasingly require complete written proofs. Later training stages prepare selected students for international competition.
IOQM
First qualifier
Numerical answers and problem-solving decisions.
RMO
Regional stage
Write complete arguments for proof-based problems.
INMO
National stage
Deeper national-level proof problems.
Camp
Training
Advanced learning and selection activities.
IMO
International
Selected students represent India.
Previous papers
IOQM previous year question papers.
Open a recent IOQM paper or continue to the official archive for all IOQM and RMO years.
2024
IOQM 2024–25 Paper with KeyQuestion paper and answer key
All
Complete IOQM & RMO archiveAll earlier papers, languages and proof-stage resources
Syllabus, without the jargon
IOQM syllabus: four areas of mathematics.
A teacher-style syllabus should help students imagine the problems—not merely display a chapter list.
Number Theory
Divisibility, remainders, primes and patterns in whole numbers.
Algebra
Unknown quantities, patterns, equations and relationships.
Geometry
Shapes, angles, lengths and the reasons behind a diagram.
Combinatorics
Counting arrangements and choices without missing cases.
Learn by attempting
Try a problem before reading its solution
Find the smallest positive integer n for which 7n leaves remainder 1 on division by 20.
Hint: write the remainder condition as an equation
Write 7n = 20k + 1. Try the smallest positive values of n and check the remainder.
Read the explained solution
For n = 1 and n = 2, the remainders are 7 and 14. For n = 3, we get 21 = 20 + 1, so the required remainder is 1. Both smaller positive values fail; therefore the least n is 3. The two-digit answer is 03.
Attempt 20 original foundation and bridge problems with hints and solutions →
Continue by topic: number theory, algebra, geometry or combinatorics.
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