Dashboard · Exams · IOQM
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.
🇮🇳 All-India Live Test — this Sunday, 6 AM – 11 PM IST
Same IOQM paper across India. Your national rank, the moment you submit. Free.
Updated 14 Aug 2026 ·Vacancy counts change every cycle — always confirm the exact number in the latest official notification before applying.
Sourced
Source: official exam authority notification · refreshed weekly. How this works →
Free IOQM preparation on Shishya
Take expert-curated mocks, practise previous year papers, and Ask Shishya when you're stuck — verified by students who cleared the same path. All free, no credit card. Sign in with Google to begin.
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Modulus / Absolute ValueHow many real solutions does the equation |x − 2| = |x + 1| have?
Tap an option to check your answer.
Start with a diagnostic
10 questions across the syllabus to see where you stand.
Verified against the official notification. Source ↗ · last reconciled 2026-05.
Historical cutoffs are a guide, not a prediction. Use them to set a realistic target, not to predict next year's exact number.
HBCSE 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 ↗ · verified 2026-05.
Topic-by-topic weightage averaged across 2022-2024 papers. Use this to decide where to invest study hours, not where to skim. Source ↗ · verified 2026-05.
25/100 marks avg
Divisibility + modular arithmetic + Diophantine equations
22/100 marks avg
Polynomials + functional equations + inequalities (AM-GM, Cauchy-Schwarz)
24/100 marks avg
Counting + pigeonhole + graph theory basics
22/100 marks avg
Euclidean geometry (triangles, circles, similarity, power of a point)
2025
30 questions
Take paper →2024
10 questions
Take paper →2023
10 questions
Take paper →2022
10 questions
Take paper →2021
10 questions
Take paper →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
FULL20 questions · 180 min
Start mock →IOQM — 2024 (Previous Year)
FULL10 questions · 180 min
Start mock →IOQM — 2025 (Previous Year)
FULL30 questions · 180 min
Start mock →Full-length subject tests below — 25 questions each, real exam format, instant scoring. Want to drill a single topic? Every topic has its own 10-question test in the syllabus.
Mathematics
89 QsTell 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.
Take a mock to see where you stand on the leaderboard.
Students
36
Mocks taken
138
Average score
40%
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 1% — IMO team contenders
95–100% · Post-based exam (no numeric rank)
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.
Tap any topic for its study notes + a 10-question topic test
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.
7/100 marks avg
Estimation, integer answer (TITA) format
Elite tier — IMO pathway
90–95% · Post-based exam (no numeric rank)
Strong INMO contender — top 2%
82–90% · Post-based exam (no numeric rank)
INMO qualified — top 5%
70–82% · Post-based exam (no numeric rank)
Borderline INMO qualification
55–70% · Post-based exam (no numeric rank)
Merit certificate range
35–55% · Post-based exam (no numeric rank)
Below qualification threshold
0–35% · Post-based exam (no numeric rank)
AI-curated from historic cut-off patterns. Always verify with the latest official notification before making decisions.
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.
IOQM 2026 notification
passedMon, 25 May, 2026
Official notification released by MTA(I) on May 25, 2026
Centre registration start
passedMon, 1 Jun, 2026
Centre registration and student enrollment through centres began
Centre registration end
passedFri, 26 Jun, 2026
Last date for schools to register as exam centres
Individual student registration start
passedMon, 29 Jun, 2026
Individual online registration window opened
Student registration end (all modes)
passedMon, 27 Jul, 2026
Last date for both centre-based and individual registration; fee payment allowed till July 29
Registration correction window
passedMon, 3 Aug, 2026
Edit facility available from August 3-5, 2026 through Student Login
IOQM 2026 admit card released
passedSat, 8 Aug, 2026
Hall tickets available for download at ioqm.mtai.org.in
🏅IOQM 2026 exam day
11 days awaySun, 6 Sept, 2026
3-hour, 30-question OMR-based exam; no negative marking
IOQM 2026 answer key (expected)
11 days awaySun, 6 Sept, 2026
Provisional answer key typically released on exam day evening; based on 2024-25 pattern
🏅IOQM 2026 — exam day
18 days awaySun, 13 Sept, 2026