Olympiad - Gonit Sora

Gonit Sora

Olympiad

A collection of 9 posts

Few Problems - 3

1. Let be an acute angled triangle such that . Let be a point on such that . Let be an internal point of the segment . Prove that if and only if . 2. Show that there are infinitely many positive integers such that . 3. Show that is always composite for all natural

Few Problems - 2

1. For which , does hold? 2. For a polynomial with integral coefficients, i.e. for all with , if where , are coprime integers with then show that: i. ii. 3. Let be a triangle with side-lengths , , corresponding to sides , and respectively and let , and be the lengths of the medians from

Few Problems - 1

1. Given a straight line and points and on the same side of it find the shortest path from to which touches . 2. Given a function such that Show that for all . Thus, infer that for such a function knowing its value at one non-zero point is sufficient for finding

Interview with Professor Po Shen Loh

An Interview with Professor Po-Shen Loh

Po-Shen Loh is an associate professor of mathematics at the Carnegie Mellon University. He specializes in probabilistic and extremal combinatorics. He is the founder of Expii which “is a free interactive website, focused on math and science, where students, teachers, tutors, and enthusiasts are encouraged to add their voices and

Equilateral Triangle

An Equilateral Triangle Inside a Square

This is an article on an olympiad problem. Here we present various solutions of the problem. We show the beauty of this problem by presenting different proofs to the same problem. The Problem Statement: – is a square. is a point inside the square such that . Show that is equilateral. A

Assam State Mathematics Olympiad question paper 2014 (Category-II)

Image Source : Shutterstock The Assam Academy of Mathematics recently organized the 2014 State Mathematics Olympiad for various categories. The question paper for Category-II (Class VII and VIII) can be found here. We are grateful to Upam Sarmah for collecting the question paper.

Assam State Mathematics Olympiad question paper 2014 (Category-I)

Image Source : Shutterstock The Assam Academy of Mathematics recently organized the 2014 State Mathematics Olympiad for various categories. The question paper for Category-I (Class V and VI) can be found here. We are grateful to Upam Sarmah for collecting the question paper.

Indian National Mathematical Olympiad

Indian National Mathematical Olympiad

The Indian National Mathematical Olympiad (INMO) is a prestigious Olympiad aimed at highly motivated high school students and pre college students. It is conducted all over the country in various centres. In Assam, Gauhati University is a centre. Please click here or here to get more info about the INMO.

2011 Assam State Olympiad Question Papers

2011 Assam State Olympiad Question Papers

The Assam Academy of Mathematics (AAM) organized the 2011 State Mathematics Olympiad in numerous centres all over Assam. The question paper for Category III (Class IX and X) can be found here, and the question paper for Category IV (Class XI and XII) can be found here. Our editor Manjil