Mathematics is Beautiful... Cheenta Blog Since 2010

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 beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Right Rectangular Prism.

Try this beautiful problem from the Pre-RMO, 2019 based on Greatest Integer. You may use sequential hints to solve the problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1996 based on Parallelogram Problem.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Pyramid with Square base.

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1995 based on Repeatedly Flipping a Fair Coin.

Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry: Sectors in Circle from AMC-10A, 2012. You may use sequential hints to solve the problem

Try this beautiful problem from Algebra: Sum of whole numbers from AMC-10A, 2012. You may use sequential hints to solve the problem

Try this beautiful problem from Geometry: Area of quadrilateral from AMC-10A, 2020. You may use sequential hints to solve the problem.

Try this beautiful problem from the Pre-RMO, 2019 based on Sum of digits. You may use sequential hints to solve the problem.