What it is
The Indian Olympiad Qualifier in Mathematics (IOQM) is the first stage of India’s Mathematical Olympiad Programme, the official route to the International Mathematical Olympiad (IMO). The programme is organised by the Homi Bhabha Centre for Science Education (HBCSE) on behalf of the National Board for Higher Mathematics, and the IOQM paper itself is conducted by the Mathematics Teachers’ Association (India), MTA(I). Older books and websites call this first stage PRMO; IOQM is its current form.
HBCSE’s brochure is clear on one point: for a student who hopes to reach the IMO, IOQM is “the first essential step”. Many exams use the word “olympiad”, but only this one opens the national maths route.
Who can take it
IOQM is open to students in Classes 8 to 12 who also fall within a birth-date window set each year. There are further conditions, in plain words:
- The student must be eligible to hold an Indian passport. Students with OCI cards may sit IOQM and the later Indian stages, but under current court orders they cannot be selected for the Indian team itself.
- The student must have been living and studying in India, or studying in an Indian school system, since a cut-off date. Students in Indian schools abroad must travel to India to write each stage.
- The student must not have finished Class 12 board exams before a cut-off date, or started university before the next IMO.
These rules are strict and the details change. Check the official eligibility rules for this year on the IOQM site before registering; the student is responsible for meeting them.
The paper
In the 2026–27 cycle, IOQM was a three-hour, pen-and-paper exam with 30 questions, marked on an OMR sheet. Every answer is a whole number from 00 to 99, so there are no options to guess between. Ten questions carry 2 marks, ten carry 3 and ten carry 5, for 100 marks in all, with no negative marking. The paper is available in English and Hindi; the language is chosen at registration.
The stages
| Stage | Who | What happens |
|---|---|---|
| IOQM | Eligible students in Classes 8–12 | 30 integer-answer questions in three hours |
| RMO | Top IOQM scorers, region by region | Six problems needing full written proofs |
| INMO | Top RMO scorers, region by region | Six harder proof problems in four and a half hours |
| IMOTC | INMO awardees | A training camp of about a month with selection tests |
| Pre-departure camp | The selected team | Final training before the IMO |
| IMO | A team of up to six | The international contest, each July |
Selection from IOQM to RMO happens region by region, with a minimum score, separate lists for Classes 8–11 and for Class 12, and extra places for girls in Classes 8–11. Kendriya Vidyalayas and Jawahar Navodaya Vidyalayas form their own regions; for other schools, the school’s address decides the region. The exact numbers are published each year. The next stages are covered on our page on RMO and INMO, and the end of the road on the International Mathematical Olympiad page.
When it happens
Registration usually runs in June and July, either through a registered centre (often a school) or individually on the IOQM portal if your school is not a centre. In recent years the exam has been held in September at centres across India. Results lead to RMO later in the year. For this year’s dates, always use the official IOQM site and HBCSE’s maths olympiad page.
How to prepare
IOQM is not a harder version of school maths. Its problems come mainly from four areas that school covers only lightly: number theory, combinatorics (counting and arrangements), geometry and algebra. HBCSE expects familiarity with NCERT maths up to the student’s level, and the IOQM site notes that calculus and statistics are not part of the syllabus.
A realistic plan:
- Start with past papers. HBCSE’s site has earlier RMO, INMO and PRMO papers. Old PRMO papers are close in style to IOQM.
- Learn topics through problems. A standard olympiad problem book, worked slowly with a notebook, teaches more than any summary. HBCSE’s brochure lists recommended books by topic.
- Keep a mistakes notebook. Write down why each wrong answer went wrong.
- Practise full timed papers in the weeks before the exam. With no negative marking, every question deserves an answer.
Be honest about the difficulty: many strong students find IOQM hard the first time. A student in Class 8 or 9 who sits it early learns what the problems feel like and has several more years to try.
Where daily practice fits
IOQM rewards long, careful thinking on unfamiliar problems, and no short quiz replaces that. What a daily habit can add is speed and accuracy with everyday arithmetic and reasoning. Ado is a free daily quiz of 8 questions, including a 60-second sprint, in maths, science, English, GK and reasoning, ranked only against students the same age, and its Ado Rank builds from a student’s top three subjects and never resets. Treat it as a short warm-up before the real problem session, not as olympiad preparation.