RMO/IOQM Syllabus, Paper Pattern & Previous Year Papers
FAQs on RMO Exam Guide 2025 – Eligibility, Syllabus & Preparation
1. What is the RMO Exam?
The RMO (Regional Mathematical Olympiad) is a national-level mathematics competition for students of Classes 8–12 in India and is now merged with IOQM as the first step towards INMO and IMO selection.
- Conducted by HBCSE and MTA
- Targets top mathematical talent nationwide
- Covers topics like geometry, algebra, combinatorics, and number theory
- Serves as a qualifying exam for INMO (Indian National Mathematical Olympiad)
2. What is the eligibility for IOQM?
To be eligible for IOQM (Indian Olympiad Qualifier in Mathematics) 2025, students must meet specific criteria:
- Study in Class 8, 9, 10, 11, or 12 as of August 1, 2025
- Be born on or after August 1, 2005
- Hold Indian citizenship or OCI (Note: OCI candidates cannot advance to IMO)
- One attempt per year per student
3. What is the difference between IOQM and RMO?
The main difference is that IOQM has replaced the earlier RMO as the first stage for INMO selection since 2025.
- IOQM is now the combined preliminary round (was previously PRMO + RMO)
- Selection for INMO is entirely on the basis of IOQM performance
- Both focus on advanced math topics for Olympiad aspirants
4. What is the RMO/IOQM 2025 syllabus?
The RMO/IOQM syllabus for 2025 includes advanced mathematical domains, mostly from Classes 8–12 and excludes calculus and statistics:
- Number Theory: Divisibility, Euclidean algorithm, congruences, modular arithmetic
- Algebra: Polynomials, factorization, quadratic equations, inequalities
- Geometry: Plane geometry, circles, coordinate geometry, trigonometry basics
- Combinatorics: Counting, binomial theorem, finite series
- Elementary Graph Theory and basic probability
5. How to prepare for RMO?
Effective preparation for the RMO/IOQM exam involves building strong conceptual clarity and practicing extensively with past papers.
- Study core topics in number theory, algebra, geometry, and combinatorics
- Practice writing clear mathematical proofs
- Solve previous years’ RMO/IOQM papers
- Follow study plans and seek guidance from Olympiad mentors
- Use official answer keys for self-assessment
6. Where can I download RMO previous year papers with solutions?
You can download RMO previous year question papers and solutions in PDF format from educational platforms and official Olympiad websites.
- Access years-wise downloads for practice
- Papers include questions on all major math topics
- Solutions help improve conceptual clarity and proof-writing
7. What is the pattern of the RMO/IOQM exam?
The IOQM (formerly RMO) exam pattern features short integer and proof-based questions, testing deep mathematical understanding.
- Number of questions: 30 (IOQM), 6 (previous RMO, now merged)
- Type: Short integer answers and detailed proofs
- Duration: 3 hours
- Language: English/Hindi/Regional
8. What is the cutoff for IOQM?
The IOQM cutoff varies by region and year, with recent thresholds around 50–60 marks.
- Exact cutoffs differ for each state and sometimes by category
- Cutoff marks are based on the overall exam performance
- Top scorers advance to INMO stage
9. When are RMO/IOQM results declared?
The RMO/IOQM results are typically announced in December on the official HBCSE website.
- Results include roll numbers and marks of qualifiers
- Selected students move on to the INMO
- Always cross-verify results through the official portal
10. Are SOF IMO and RMO/IOQM exams the same?
No, SOF IMO and RMO/IOQM are separate Olympiad competitions with different recognition paths.
- RMO/IOQM leads to INMO and the International Mathematical Olympiad (IMO) team
- SOF IMO is a school-based Olympiad not linked to national/international math team selection
- Syllabus, exam pattern, and objectives are different for each
11. Can class 8 students take the IOQM?
Yes, exceptionally meritorious Class 8 students may be permitted to appear for the IOQM with approval from their Regional Coordinator.
- Standard eligibility is Classes 8–12
- Class 8 applicants are reviewed for exceptional mathematical talent
12. Does Vedantu offer INMO-level mentorship?
Yes, Vedantu provides specialized Olympiad guidance up to INMO level through live online classes, mock tests, and expert mentorship.
- Covers IOQM, RMO, and INMO preparation
- Interactive sessions focused on proof-writing and advanced math
13. How many students qualify for INMO from IOQM?
Approximately 900 students are shortlisted from IOQM to participate in the INMO stage each year.
- Selection is region and category-based
- INMO qualifiers later get a chance to attend the IMOTC camp
14. How can I check RMO or IOQM result status?
You can check your RMO/IOQM result status on the official HBCSE website as soon as results are announced.
- Use your roll number or registration details
- Results are usually posted in December after the exam
- Check your registered email for exam notifications, but always confirm online

















