Exams · IOQM
IOQM
IOQM exam held 6 Sept 2026 (reported); Shishya's tracker has no announced date for the next exam yet. IOQM Stage 1: 30 questions, 100 marks, 180 minutes, no negative marking; each answer is an integer from 00 to 99, marked on an OMR sheet; there are no options to choose from (HBCSE brochure, read 29 Sept 2026). Official site: olympiads.hbcse.tifr.res.in.
Indian Olympiad Qualifier in Mathematics
HBCSE Stage-1 for the Indian math olympiad chain (RMO → INMO → IMOTC → IMO). 30 questions in 3 hours, integer answers 00–99, no calculus.
Free IOQM mock tests and previous year paper practice — start now.
Full-length mocks with instant scoring and solutions, PYQ-pattern papers, topic-wise tests and Ask Shishya when you're stuck. Your scores and a free day-by-day plan are saved to your account. All free, no credit card. Content is written with AI; dates marked Official link the conducting body's own site.
Updated 23 Sept 2026 ·Vacancy counts change every cycle — always confirm the exact number in the latest official notification before applying.
Sourced
Source: HBCSE brochure, read 29 Sept 2026. How this works →
✦ Try a IOQM question — free, no signup
LogarithmsIf log₂(x) + log₂(x − 3) = 2, what is the value of x?
Tap an option to check your answer.
Start with a diagnostic
5 questions across the syllabus to see where you stand.
This becomes your exam: a Daily 5 email on mornings after you visit, and emails about your streak, live tests, exam date and result day, or after a week away. Each has an unsubscribe link.
🧩 Build your own mock — pick exact topics → · every mock readable in हिंदी + 17 languages inside the test
IOQM eligibility
Shishya's summary, as of 2026-05 — confirm the details on the official site ↗.
- Education
- Currently studying in Class 8-12 in a recognised Indian school.
- Attempts
- One attempt per academic year (per cycle).
- Nationality
- Indian citizen, OCI, or studying in Indian schools.
IOQM cutoffs
Historical cutoffs are a guide, not a prediction. Use them to set a realistic target, not to predict next year's exact number.
IOQM cutoff (qualifying for RMO)
out of 100 marksHBCSE picks ~25 students per region per class for RMO. Cutoffs vary by region and year — figures here are representative of metropolitan regions.
| Year | Category | Cutoff |
|---|---|---|
| 2024 | Class 12 students (Top ~1,200) | ~50 – 55 |
| 2024 | Class 11 | ~45 – 50 |
| 2024 | Class 9-10 | ~35 – 45 |
| 2024 | Class 8 | ~25 – 35 |
Source: official ↗ · as of 2026-05.
IOQM paper analysis — what actually got asked
Topic-by-topic weightage averaged across 2022-2024 papers. Use this to decide where to invest study hours, not where to skim. Source ↗ · as of 2026-05.
Number Theory
25/100 marks avg
Divisibility + modular arithmetic + Diophantine equations
~25 marks(25%)
Algebra
22/100 marks avg
Polynomials + functional equations + inequalities (AM-GM, Cauchy-Schwarz)
~22 marks(22%)
Combinatorics
24/100 marks avg
Counting + pigeonhole + graph theory basics
~24 marks(24%)
Geometry
22/100 marks avg
Euclidean geometry (triangles, circles, similarity, power of a point)
~22 marks(22%)
Other
7/100 marks avg
Estimation, integer answer (TITA) format
~7 marks(7%)
Takeaways for prep planning
- IOQM is integer-answer (TITA) format — no negative marking, no partial credit. Either you solve, or you don't.
- Number theory and combinatorics are the two highest-yield areas — they cover ~50% of marks but only ~30% of standard JEE Math prep.
- Standard NCERT/CBSE Math does NOT prepare you for IOQM. Use Pranesachar's Challenges + Mathematics Olympiad books + AoPS resources.
IOQM — Frequently asked questions
Is Shishya free for IOQM preparation?
How many IOQM practice questions does Shishya have?
Are IOQM previous year question papers available?
How long is the IOQM exam?
What is the exam pattern of IOQM?
Is there negative marking in IOQM?
In which languages is IOQM conducted?
What is the expected cutoff for IOQM?
Is there a full-length IOQM mock test in the real exam pattern?
Can I build a topic-wise IOQM mock test?
How can I prepare for IOQM for free?
Previous year papers
70 questions across all yearsOfficial papers
Question papers and answer keys as the conducting body published them. Each link opens the body's own file.
2025
- Question paper: QP of IOQM 2025 held on September 28, 2025 for Regions 4 and 5 - English (Set M1) ↗ · English · 176 KB
- Question paper: QP of IOQM 2025 held on September 28, 2025 for Regions 4 and 5 - Hindi (Set M1) ↗ · Hindi · 391 KB
- Question paper: QP of IOQM 2025 held on September 7, 2025 - English (Set M1) ↗ · English · 180 KB
- Question paper: QP of IOQM 2025 held on September 7, 2025 - Hindi (Set M1) ↗ · Hindi · 390 KB
- Answer key: IOQM 2025 (held 28 September, Regions 4 and 5) Final Answer Key, Sets M1-M4 ↗ · English · 34 KB
- Answer key: IOQM 2025 (held 7 September) Final Answer Key, Sets M1-M4 ↗ · English · 62 KB
2024
- Question paper: IOQM 2024 Question Paper - English ↗ · English · 75 KB
- Question paper: IOQM 2024 Question Paper - Hindi ↗ · Hindi · 71 KB
- Answer key: Answer key to IOQM 2024 ↗ · English · 35 KB
2022-23
- Question paper + answer key: IOQM2022-23 Question Paper & Answer Key (Set M1) ↗ · English · 139 KB
2021-22
- Question paper: IOQM 2021-22 Part A Question Paper ↗ · English · 42 KB
- Question paper + answer key: IOQM 2022 Part B Official Solutions (listed as "IOQM2021-22 Part B Questions & Solutions") ↗ · English · 186 KB
- Answer key: IOQM2021-22 Part A - Answer Key ↗ · English · 33 KB
2020
- Question paper: IOQM 2020 - Questions (Code M01) ↗ · English · 289 KB
- Answer key: IOQM 2020 - Answer Key ↗ · English · 25 KB
Published by HBCSE-TIFR (Mathematical Olympiad Cell)
Previous year paper practice: each year is a set of PYQ-pattern questions — freshly worded in the pattern of that year's paper, not the paper itself. Every card shows how many it holds against the real paper's count.
2025
30 PYQ-pattern questions modelled on the 2025 paper (which had 30)
Practise these →2024
10 PYQ-pattern questions modelled on the 2024 paper (which had 30)
Practise these →2023
10 PYQ-pattern questions modelled on the 2023 paper (which had 30)
Practise these →2022
10 PYQ-pattern questions modelled on the 2022 paper (which had 30)
Practise these →2021
10 PYQ-pattern questions modelled on the 2021 paper (which had 30)
Practise these →
Mock tests
Take any mock in your preferred language — use the language picker inside the mock to switch (Hindi, Telugu, Tamil, Bengali, and 15 more).
IOQM — Quick Practice
SET20 questions · 180 min
Start mock →IOQM — 2024 PYQ-pattern set (10 of 30 questions)
SET10 questions · 180 min
Start mock →IOQM — 2025 (PYQ Pattern)
FULL27 questions · 180 min
Start mock →IOQM — Full-Length Practice Set (30Q · 180 min)
FULL30 questions · 180 min
Start mock →IOQM — 2021 PYQ-pattern set (10 of 30 questions)
SET10 questions · 180 min
Start mock →
Practice by subject & topic
Full-length subject tests below — 25 questions each, real exam format, instant scoring.Want to drill a single topic? Open it from the syllabus — a topic that has practice questions has a short quiz on its page.
Mathematics
66 Qs
🎯 Build my own mock
Tell Shishya exactly what to test you on — topics, size, difficulty — and get a fresh mock in seconds. Leave the box blank and we'll target your weakest topics.
Your rank
vs everyone who has taken this examTake a mock to see where you stand on the leaderboard.
Students
53
Mocks taken
199
Average score
39%
Top score
100%
What can I get from IOQM?
Mock-score → expected rank → likely outcome. Use the mocks below to find your current band, then plan how many marks you need to climb.
Top 50 — IMO team contenders
92–100% · Rank 1 – 50
- •Top 50 nationally — exceptional mathematical talent
- •INMO Gold medal highly likely
- •Strong candidate for IMOTC (International Mathematical Olympiad Training Camp) — approximately 30-35 students selected
- •Competitive for 6-member Indian IMO team selection
- •Recognition among India's olympiad community
- •Pathway to international recognition and academic opportunities
Elite performers — IMOTC potential
85–92% · Rank 50 – 150
Strong INMO contenders
75–85% · Rank 150 – 400
INMO qualification zone
60–75% · Rank 400 – 1,000
- •Indian National Mathematical Olympiad (INMO) qualification likely — approximately top 900-1000 students nationwide
- •Region-specific cut-offs vary (typically 55-70% for INMO)
- •Top performer in your region/state
- •Eligible for advanced olympiad training camps in some states
- •Strong foundation for international olympiad pathway
Merit Certificate range
45–60% · Post-based exam (no numeric rank)
Developing competency
25–45% · Post-based exam (no numeric rank)
Foundation building needed
0–25% · Post-based exam (no numeric rank)
AI-curated from historic cut-off patterns. Always verify with the latest official notification before making decisions.
News & timeline
See older updates →Latest news
MTAI officially released hall tickets for IOQM 2026-27. Students can download their admit cards from the official portal at ioqm.mtai.org.in using their enrollment credentials.
Students were provided an edit facility through Student Login to correct information submitted during registration, available from August 3 to August 5, 2026.
Student enrollment through centres and individual online registration concluded on July 27, 2026. Fee payment was allowed until July 29 for those who completed enrollment by the deadline.
MTAI officially announced the complete timeline for IOQM 2026 with centre registration from June 1-26, student registration through centres from June 1 to July 25, and individual online registration from June 29 to July 25.
Important dates
Registration correction window
passedMon, 3 Aug, 2026
Reportedioqm.mtai.org.inEdit facility available from August 3-5, 2026 through Student Login
IOQM 2026 admit card released
passedSat, 8 Aug, 2026
Reportedbrilliantpala.orgHall tickets available for download at ioqm.mtai.org.in
🏅IOQM 2026 exam day
passedSun, 6 Sept, 2026
Reportedmtai.org.in3-hour, 30-question OMR-based exam; no negative marking
IOQM 2026 result (expected)
4 days awayThu, 15 Oct, 2026
ExpectedResults typically declared 4-6 weeks after exam; qualifiers advance to RMO 2026
RMO 2026 — second stage, for IOQM 2026 qualifiers
35 days awaySun, 15 Nov, 2026
Officialolympiads.hbcse.tifr.res.in ↗Regional Mathematical Olympiad: Sunday 15 Nov 2026, 13:00–16:00 (3 hours, 6 proof questions) — HBCSE, Mathematical Olympiad 2026-27. Who qualifies from IOQM 2026 is set by HBCSE's RMO selection criteria.
INMO — third stage of the 2026-27 cycle, for RMO 2026 qualifiers
98 days awaySun, 17 Jan, 2027
Officialolympiads.hbcse.tifr.res.in ↗Indian National Mathematical Olympiad: Sunday 17 Jan 2027, 12:00–16:30 (4.5 hours, 6 proof questions). HBCSE's Mathematical Olympiad 2026-27 page: "Date of INMO 2026: January 17, 2027".
Syllabus
Tap any topic for its study notes + a 10-question topic test
Mathematics
Basic Preliminaries
Foundational tools used across the paper: number system, modulus, logs, greatest integer.
Number Theory
Divisibility, primes, modular arithmetic, Diophantine equations and arithmetic functions.
Algebra
Polynomials, inequalities, complex numbers, sequences and functional equations.
Combinatorics
Counting techniques, pigeonhole, recurrences and elementary graph theory.
Geometry
Plane Euclidean geometry — triangles, circles, transformations and coordinate methods.
Trigonometry
Trigonometric ratios, identities and applications to geometry and equations.