PRMO 2019

Pre Regional Math Olympiad (Pre RMO 2019) – India is coming up on August 11, 2019. Find information and resources in this page.

Understand

Apply here: https://mtaexam.com/

Important Dates:

Start Date End Date Event
1st June 2019 30th June 2019 Registration of Center
1st June 2019 7th July 2019 Registration of Candidates
11th August 2019, 10 AM to 1 PM PRMO

 

Start preparation

Pre Regional Math Olympiad – India is a prelude to Regional Math Olympiad and Indian National Math Olympiad.

At Cheenta Math Olympiad Program

The Geometry Module is active at Cheenta Math Olympiad Program.

The problem-solving sessions and one-on-one sessions are also active.

Doubt Clearing Portal is at work with internal students to resolve queries.

 

Past Papers

PRMO (Pre Regional Math Olympiad India) - Past Papers

Solve great problems

Keep coming back! We are adding great problems with sequential hints every week.

An inequality with many unknowns

Understand the problemLet be positive real numbers such that . Prove thatSingapore Team Selection Test 2008InequalitiesMediumInequalities by BJ VenkatachalaStart with hintsDo you really need a hint? Try it first!Use the method of contradiction.Suppose that $latex...

Looks can be deceiving

Understand the problemFind all non-zero real numbers which satisfy the system of equations:Indian National Mathematical Olympiad 2010AlgebraMediumAn Excursion in MathematicsStart with hintsDo you really need a hint? Try it first!When a polynomial equation looks...

IMO, 2019 Problem 1 – Cauchyish Functional Equation

This problem is a patient and intricate and simple application of Functional Equation with beautiful equations to be played aroun with.

A sequence of natural numbers and a recurrence relation

Understand the problemDefine a sequence by , andfor For every and prove that divides. Suppose divides for some natural numbers and . Prove that divides Indian National Mathematical Olympiad 2010 Number Theory Medium Problem Solving Strategies by Arthur Engel...

Linear recurrences

Linear difference equationsA linear difference equation is a recurrence relation of the form $latex y_{t+n}=a_1y_{t+n-1}+a_2y_{t+n-2}+\cdots +a_ny_t+b$. If $latex b=0$, then it is called homogeneous. In this article, we shall also assume $latex t=0$ for...

Functional Equation PRMO 2012 Problem 16

A beautiful functional equation problem from PRMO (Pre Regional Math Olympiad) 2012 (Problem 16). Use sequential hints and a video discussion to try the problem

2013 AMC 10B – Problem 5 Maximizing the Difference:

This is based on simple ineqaulities on real numbers.

An inductive inequality

Understand the problemGiven and for all , show that Singapore Mathematical Olympiad 2010 Inequalities Easy Inequalities by BJ Venkatachala Start with hintsDo you really need a hint? Try it first!Use induction. Given the inequality for $latex n=k$, the inequality...

A search for perfect squares

Understand the problemDetermine all pairs of positive integers for which is a perfect square.Indian National Mathematical Olympiad 1992 Number Theory Easy An Excursion in Mathematics Start with hintsDo you really need a hint? Try it first!First consider $latex n=0$....

INMO 1996 Problem 1

Understand the problema) Given any positive integer , show that there exist distint positive integers and such that divides for ; b) If for some positive integers and , divides for all positive integers , prove that .Indian National Mathematical Olympiad...