RMO Syllabus

Regional Mathematics Olympiad (RMO) is the second round of the Mathematics Olympiad. The candidates qualified in 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.

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. The 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