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Bijection principle is a very useful tool for combinatorics. Here we pick up a problem that appeared in I.S.I.'s B.Stat-B.Math Entrance. Part 1: The problem and the hints Part 2  Part 3

Watch and learn the concept of Algebraic Identity from TOMATO Objective, Problem 16. This is useful for the students preparing for ISI and CMI Entrance.

Preface In geometry, transformation refers to the movement of objects. Adventures in Geometry 1 is the first part of  "Adventures in Geometry" series.The content is presented as a relatively free-flowing dialogue between the Teacher and the Student. Also Visit: Math Olympiad Program Teacher: Stationary objects such as triangles, points or circles are not that interesting […]

Now lets discuss about the Second chapter named as SUBGROUPS . As mentioned before I am following the sequence of chapters from Herstein. IMPORTANT IDEAS: i) First go through the definition very well. You will see that H is a subgroup of G when H is a group under the same operation of G, and […]

Can you find the shortest path on cube? Let's understand with the help of a problem. Here is a solution presented by the students in class.

Let's learn how to find the integer solutions of a three variable equation. Problem: Consider the following equation: \( (x-y)^2 + (y-z)^2 + (z - x)^2 = 2018 \). Find the integer solutions to this three variable equation. Discussion: Set x - y = a, y - z = b. Then z - x = - […]

A geodesic is a locally length-minimizing curve. In the plane, the geodesics are straight lines. Let's learn about it with the help of a video.

Try this problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A, 2005 You may use sequential hints to solve the problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Angles and Triangles.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 2012 based on Digits and Numbers.

Try this beautiful problem from Geometry based on Try this beautiful problem from Algebra based on Largest Common Divisor . from PRMO 2014. You may use sequential hints to solve the problem.

Try this beautiful problem from ALGEBRA: Greatest Common Divisor AMC-10A, 2018. You may use sequential hints to solve the problem

Try this beautiful problem from Geometry:Area of Octagon.AMC-10A, 2005. You may use sequential hints to solve the problem

Try this beautiful problem from Algebra based on AP GP from AMC-10A, 2004. You may use sequential hints to solve the problem.

Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry based on lengths of the rectangle from AMC-10A, 2009. You may use sequential hints to solve the problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence.