RMO Syllabus 2025, Class-Wise Exam Pattern and Topics
The RMO Syllabus 2025 for the Regional Mathematical Olympiad encompasses all topics of Class 8 and 12. Here are the details of the Regional Mathematical Olympiad Syllabus and Exam Pattern.
Priyanka Dahima13 Jun, 2025
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RMO Syllabus 2025 : Every year in the International Mathematical Olympiad, a competitive exam is held for secondary and upper secondary school students. This RMO Test is divided into sections, You have to pass each level to progress. The regional math competition is the second phase of the IMO and evaluates the ability of young students to think and solve problems.
The RMO Exam 2025 for this year is scheduled for 9th November 2025 (1.30 pm to 4.00 pm) so students who are interested to appear for the exam must gear up their preparation.RMO Previous Year Question Papers
RMO Syllabus 2025
The Homi Baba Center for Science Education (HBCSE) conducts the RMO examination on behalf of the Department of Atomic Energy's National Board for Higher Mathematics. By following the RMO Syllabus 2025 and Class-wise Exam Pattern, this test helps students strengthen their concepts. The goal of the RMO Syllabus 2025 is to provide young students with a way to assess and improve their mathematical academic abilities while also getting them ready for a competitive future. We have included a complete class-wise Regional Maths Olympiad Syllabus 2025 for the candidates. The RMO 2025 Syllabus outlines the major sections, fundamental concepts, and mark distribution.Regional Mathematical Olympiad Syllabus 2025
This will help avoid any issues that may arise during the selection process. We will guide you through the RMO Exam Pattern, question types, and effective strategies. In the below table, we have provided an overview of the RMO Syllabus 2025.| RMO Syllabus 2025 Overview | |
| Organization | Homi Bhabha Centre for Science Education (HBCSE) |
| Exam Name | Regional Mathematical Olympiad (IMO 2025) |
| RMO 2025 Exam Date | 9th November 2025 |
| Types of Questions | Descriptive - 6 Questions |
| Duration of RMO Exam | 3 Hour |
| Mode of Exam | Offline |
| Official Website | https://olympiads.hbcse.tifr.res.in/ |
RMO Syllabus
It is important to note that a candidate who has passed the IOQM Examination is eligible for RMO. To crack the RMO exam, a student must study important chapters as per the syllabus. After completing the RMO Exam, the candidate can prepare for the INMO exam and the IMO exam. Therefore, candidates must be prepared and understand the concepts carefully.RMO Algebra Syllabus
- Inequalities
- Progressions (A.P, G.P, H.P)
- Theory of indices
- System of linear equations
- Theory of equations
- Binomial theorem and properties of Binomial coefficients
- Complex Numbers
- Polynomials in one and two variables
- Functional equations
- Sequences
RMO Geometry Syllabus
- Triangles
- quadrilaterals
- circles and their properties
- standard Euclidean constructions
- concurrency and collinearity (Theorems of Ceva and Menelaus)
- basic trigonometric identities
- compound angles, multiple and submultiple angles
- general solutions, sine rule, cosine rule
- properties of triangles and polygons
- Coordinate Geometry (straight line, circle, conics,3-D geometry)
- vectors.
RMO Combinatory Syllabus
- Basic enumeration
- Pigeonhole principle and its applications
- Recursion
- Elementary Graph Theory
RMO Number Theory
- Divisibility theory in the Integers (The Division Algorithm, the Greatest Common Divisor, The Euclidean Algorithm, The Diophantine Equation ax + by = c)
- Fundamental Theorem of Arithmetic, Basic properties of congruence, Linear congruences
- Chinese Remainder Theorem
- Fermat’s Little Theorem
- Wilson’s Theorem
- Euler’s Phi function and Euler’s generalisation of Fermat’s Theorem
- Pythagorean triples (definition and properties)
- Diophantine equations.
RMO 2025 Exam Pattern
All students who are going to appear for the RMO 2025 must understand the RMO 2025 Exam Pattern. Knowing the test pattern will help students strategize for the final exam. All details about RMO Exam Pattern 2025 are provided below.- RMO Olympiad is a three-hour written test conducted by the HBCSE regional coordinators
- There are going to be a total of 6 descriptive questions.
- The answers should be descriptive in nature which may include theorems.
- Duration of Exam is 3 Hours.
- Each question carries 17 marks.
RMO Olympiad Recommended Books
For preparing for the Regional Mathematical Olympiad (RMO), several books are highly recommended by experts. Here we have provided the topic-wise RMO Olympiad Recommended Books.
| RMO Olympiad Recommended Books | |
| RMO Syllabus Topics | Books |
| Algebra |
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| Geometry |
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| Combinatorics |
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| Number Theory |
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RMO 2025 Exam
HBCSE has divided India into 25 regions for RMO to encourage talented students from different regions to advance. Competing at the national and international levels, candidates can test their mathematical reasoning skills and abilities. Therefore, the Olympiad candidate should have access to the RMO Syllabus to identify topics to focus on. Based on their performance, certificates of merit are awarded to the best performers. If the candidates pass all the stages and represent India in the International Mathematical Olympiad, they will be awarded Rs. 5,000/- for a gold medal, Rs. 4000/- Silver and Rs. 3000/- in case of bronze medal.RMO Syllabus 2025 FAQs
Where can I get the RMO Syllabus 2025?
You can get the detailed RMO Syllabus 2025 for the Regional Mathematical Olympiad in the blog.
What is mode of RMO Exam 2025?
The RMO Exam 2025 is conducted through offline mode consists of Descriptive - 6 Questions
What is the RMO Exam Pattern 2025?
RMO Olympiad is a three-hour written test conducted by the HBCSE regional coordinators. There are a total of 6 descriptive questions.The answers should be descriptive in nature which may include theorems.Duration of Exam is 3 Hours.Each question carries five marks.
What is the difficulty level of RMO 2025?
The difficulty level of RMO 2025 will be moderate as the topics included in the curriculum are calculative.
Is RMO Syllabus same for all classes?
Yes, the RMO 2025 Syllabus same for 8, 9, 10, 11 and 12 classes.
What to cover for RMO Olympiad?
To prepare for the RMO Olympiad you need to cover the Algebra, Geometry, Combinatorics and Number Theory and detailed overview is provided above.
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