The Regional Mathematical Olympiad or RMO presents an opportunity for any aspiring mathematician to prove their mettle in the subject. Memorising formulas is not the only way to crack it. The candidate has to exercise their skills of thinking and analysing. And then comes the solving of problems naturally if they are well-versed. And the secret to smart preparation? Proper knowledge of the RMO 2025 important topics and their chapter-wise weightage functions as a wonderful kickstart.
This year, the RMO exam has been rescheduled to 16 November 2025. It will be from 1:00 PM to 4:00 PM. The exam is conducted by the Homi Bhabha Centre for Science Education (HBCSE). They do it on behalf of the National Board for Higher Mathematics. It is a three-hour, descriptive test with six challenging questions that assess your mathematical reasoning and problem-solving skills.
If you have cleared the IOQM, congratulations, you are eligible for the RMO. But cracking it requires a strategic approach based on the RMO 2025 important topics. From Algebra and Geometry to Number Theory and Combinatorics, knowing what to focus on is your first step toward success.
Why Focusing on RMO 2025 Important Topics Matters
Imagine walking into the exam hall without knowing which chapters matter most, daunting, right? Solving previous problems and focusing on high-weightage topics ensures:
- A clear understanding of the types of questions that frequently appear.
- Confidence in tackling descriptive and theorem-based questions.
- A structured preparation plan that maximises your scores.
Fact check: Students who prioritise important topics in competitive exams tend to perform better because they focus on conceptual mastery rather than rote learning. For RMO, this strategy is crucial since the exam tests analytical thinking more than memorisation.
RMO 2025 Syllabus Overview
The RMO 2025 syllabus is uniform across classes 8 to 12. It is designed to evaluate young students’ mathematical abilities and prepare them for advanced competitions like the INMO and IMO. Here is a snapshot of the main sections:
Algebra
- Inequalities
- Progressions (A.P., G.P., H.P.)
- Theory of Indices
- System of Linear Equations
- Theory of Equations
- Binomial Theorem & Coefficients
- Complex Numbers
- Polynomials (1 & 2 variables)
- Functional Equations
- Sequences
Geometry
- Triangles & Quadrilaterals
- Circles & their Properties
- Standard Euclidean Constructions
- Concurrency & Collinearity (Ceva & Menelaus)
- Basic Trigonometric Identities
- Compound, Multiple & Submultiple Angles
- Sine Rule, Cosine Rule, General Solutions
- Coordinate Geometry (Lines, Circles, Conics, 3D Geometry)
- Vectors
Combinatorics
- Basic Enumeration
- Pigeonhole Principle & Applications
- Recursion
- Elementary Graph Theory
Number Theory
- Divisibility & Euclidean Algorithm
- Diophantine Equations
- Fundamental Theorem of Arithmetic
- Linear Congruences & Chinese Remainder Theorem
- Fermat’s & Wilson’s Theorems
- Euler’s Phi Function
- Pythagorean Triples
RMO 2025 Exam Pattern
Understanding the exam pattern is key to smart preparation. Here is what every candidate must know:
- Duration: 3 Hours
- Number of Questions: 6 Descriptive Questions
- Marks per Question: 17
- Mode: Offline
- Question Type: Descriptive, may include theorems
Tip: Practice under exam-like conditions with no breaks, timed solving, and detailed answer writing. This builds stamina and accuracy, two essentials for RMO success.
Chapter-wise Weightage for RMO 2025
Focusing on high-weightage topics gives you an edge. Here is a breakdown of the RMO 2025 important topics with marks and questions:
| Chapter | Weightage (%) | No. of Questions |
| Number Theory | 21 | 7 |
| Algebra | 20 | 6 |
| Trigonometry | 3 | 1 |
| Combinatorics | 31 | 7 |
| Geometry | 27 | 9 |
You can notice that three topics carry the most weight. So, you must work first on these to attract good scores.
Recommended Books & Resources
To excel in RMO 2025, having the right resources is crucial. Here is a topic-wise recommended list:
Algebra:
- Higher Algebra – H.S. Hall & S.R. Knight
- Polynomials – Ed Barbeau
- Functional Equations: A Problem Solving Approach – B.J. Venkatachala
Geometry:
- Geometry Revisited – H.S.M. Coxeter & S.L. Greitzer
- Plane Trigonometry – S.L. Loney
- The Elements of Coordinate Geometry – S.L. Loney
Combinatorics:
- Introductory Combinatorics – Richard A. Brualdi
- Combinatorics for Mathematical Olympiad – S. Muralidharan
Number Theory:
- Elementary Number Theory – David M. Burton
- An Introduction to the Theory of Numbers – Niven, Zuckerman, Montgomery
Effective Preparation Strategies
You can extract the best out of your RMO 2025 prep. It is possible through the following:
- Start topic-wise: Cover Algebra, Geometry, Number Theory, or Combinatorics individually.
- Practice previous papers: Identify patterns and recurring question types.
- Simulate exam conditions: Timed solving builds speed and confidence.
- Analyse mistakes: Understand why a solution went wrong, not just the final answer.
- Focus on high-weightage chapters: Combinatorics, Geometry, and Number Theory first.
- Use expert guidance: Seek insights from experienced teachers for tough concepts.
Aakash Institute’s Contribution to RMO Preparation
Aakash Institute has been supporting aspirants for decades. Here is how we make RMO prep easier and smarter:
- Curated RMO Material: Complete syllabus coverage with solved examples.
- Expert-Designed Mock Tests: Reflecting the actual exam pattern.
- Performance Analysis: Personalised feedback on speed, accuracy, and weak areas.
- Topic-Wise Guidance: Focused strategies for high-weightage chapters.
- Access to Experienced Mentors: Guidance on problem-solving techniques.
Aakash Institute gives you a structured approach. Hence, you can maximise your performance while minimising guesswork and preparation stress.
Conclusion
So, here it is, and you must see that your success in RMO is not merely about studying at the last minute. Your smartness and extreme attentiveness during your preparation are a must. Familiarising oneself with the RMO 2025 important topics, grasping the weightage of each chapter, and practising in simulated exam conditions is the path to achievement.
Every solved problem builds analytical strength. Every reviewed mistake improves accuracy. A smart candidate pours Aakash’s expert-curated resources into your preparation recipe. This combination will enable you to tackle the exam with assurance, precision, and an advantage over others.
Remember: it is not about perfection in one attempt -it is about progress with every step toward RMO success.
FAQs on RMO 2025 Important Topics
Q1. How many RMO papers should I practice?
At least the past 5-10 years to recognise patterns and question trends.
Q2. Are mock tests necessary?
These are the kind of tests that mimic the actual exam conditions. So, they serve to improve speed and accuracy. They are very importing in uplifting your exam confidence.
Q3. How should I balance Algebra vs Combinatorics prep?
The optimal strategy is to focus on high-weightage subjects initially. Following this, you can strategically tackle chapters with less weight.
Q4. Where can I access RMO 2025 resources?
Aakash Institute provides comprehensive RMO preparation material, solved papers, mock tests, and expert guidance.
