The Indian National Mathematical Olympiad (INMO) is a math contest in India. This page outlines the contest details and topics covered, providing relevant wikis and quizzes for training and practice.
These are the basic topics covered by the INMO. This is a great place to start learning if you’re new to the INMO!
These are the intermediate topics covered by the INMO. This is a great place to hone your skills if you are already comfortable with solving the easiest problems on the INMO.
These are the advanced topics covered by the INMO, which usually appear in the last problems. This is a great place to learn to solve the hardest problems on the INMO if you're shooting for a perfect score!
Let be a right triangle with Let be the altitude from onto . Let and be the incenters of and respectively. Show that the circumcenter of triangle lies on hypotenuse
For any positive integer write the infinite decimal expansion of for example, we write as its infinite decimal expansion, not as Determine the length of the non-periodic part of the infinite decimal expansion of
Find all real functions from satisfying the relation
There are four basketball players Initially the ball is with The ball is always passed from one person to a different person. In how many ways can the ball come back to after seven passes? For example and are two ways in which the ball can come back to after seven passes.
Let be a convex quadrilateral. Let the diagonals and intersect in Let be the altitudes from onto sides respectively. Show that has an incircle if and only if
Show that from a set of all 11 integers one can select six numbers such that