 # RMO Syllabus 2021-2022

The Regional Mathematics Olympiad (RMO) is the second round of the Mathematics Olympiad. The candidates who qualified in the Pre-Regional Mathematics Olympiad (PRMO) are eligible to appear for this examination. The candidates who do well in RMO are called for the Indian National Mathematics Olympiad (INMO). The candidates who qualify in INMO are given training and sent for the International Olympiad.

## RMO 2021-22 Syllabus

The difficulty level of the examination is extremely high. The syllabus includes topics from Class IX to Class XII. The problems are usually from these topics:- Algebra, Number theory, Geometry and Combinatorics. Some of the important topics are listed below. Topics like calculus and statistics are not included in the syllabus.

• Number Theory: Divisibility, Euclidean and Division Algorithm, Modular Arithmetic, p-adic Valuation, Diophantine equations, Problem Solving Strategies, etc.
• Algebra: Polynomials, Quadratic equations, Graphical method of solving equations, Root coefficient relationship, etc.
• Combinatorics: Permutation and Combination, sets, ball and bar question, graph theory, etc.
• Geometry: Lines and Curves, Solutions of a triangle, Menelaus’s theorem, Ptolemy’s theorem, Ceva’s theorem, etc.

## Reference Books

 Books Author Geometry Revisited Coxeter Greitzer Geometric Transformations Yaglom Elementary Number Theory David Burton Inequalities through Problems Venkatachala Introduction to Combinatorics Brualdi Problem-Solving Strategies Arthur Engel

## Frequently Asked Questions on RMO Syllabus

### What exactly is RMO?

The Regional Mathematics Olympiad is the second round of the Mathematical Olympiad, and applicants who qualify for the Pre-Regional Mathematics Olympiad are allowed to compete in it. Candidates who pass the RMO test will be eligible to compete in the Indian National Mathematics Olympiad (INMO).

### What is the full form of RMO?

The full form of RMO is Regional Mathematical Olympiad. It is the second stage of the International Mathematical Olympiad (IMO).

### What is next after clearing RMO?

Candidates who pass RMO go to the next stage of the Olympiad, the Indian National Mathematical Olympiad (INMO). The International Mathematical Olympiad is one step closer with this test (IMO). Only pupils in grades 8, 9, 10, 11, and 12 are eligible to participate in the Olympiad.

### Name a few major topics from the RMO curriculum.

As mentioned earlier in the RMO syllabus, there are a few key topics that every aspirant should remember during their preparation: 1) Coordinate Geometry, 2) Elementary Combinatorics, 3) Number Theory, 4) Trigonometry, 5) Geometry, 6) Factorization of Polynomials, and 7) Finite Series & Complex Numbers.