Cheenta Blog Since 2010

Mathematics is Beautiful
University Application
Guides
Books
ISI Entrance
Math Olympiad
বাংলা
All Posts
April 26, 2018
Geometry of Motion: Open Seminar

Learn about the Geometry of Motion in an Open Seminar organized by us. Want to Join or learn more? Get all the information here.

Read More
April 24, 2018
Bijections in Combinatorics (TOMATO Obj 168)

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

Read More
April 23, 2018
Algebraic Identity (TOMATO Objective 16)

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.

Read More
April 22, 2018
Adventures in Geometry 1

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 […]

Read More
April 20, 2018
Starters book in Algebra continued

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 […]

Read More
April 15, 2018
Shortest Path on Cube

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.

Read More
March 29, 2018
Integer solutions of a three variable equation

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 = - […]

Read More
March 27, 2018
Geodesic

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.

Read More
March 24, 2018
Euler Number in solids
Read More
March 21, 2018
Geometry and Imagination - Open Seminar
Read More
May 20, 2020
Problem on Real Numbers | AIME I, 1990| Question 15

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on real numbers. Use sequential hints if required.

Read More
May 20, 2020
Digits and Integers | AIME I, 1990 | Question 13

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Digits and Integers.

Read More
May 20, 2020
Ordered triples | PRMO 2017 | Question 21

Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.

Read More
May 19, 2020
Logarithm Problem From SMO, 2011 | Problem 7

Try this beautiful Logarithm Problem From Singapore Mathematics Olympiad, SMO, 2011 (Problem 7). You may use sequential hints to solve the problem.

Read More
May 19, 2020
Sides of Quadrilateral | PRMO 2017 | Question 20

Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.

Read More
May 19, 2020
Complex numbers and Sets | AIME I, 1990 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Complex numbers and Sets.

Read More
May 19, 2020
Consecutive positive Integers | AIME I, 1990| Question 11

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Consecutive Positive Integers.

Read More
May 18, 2020
Pentagon & Square Pattern | AMC-10A, 2001 | Problem 18

Try this beautiful problem from Geometry based on pentagon and square pattern from AMC-10A, 2001. You may use sequential hints to solve the problem.

Read More
May 18, 2020
Convex polyhedron Problem | AIME I, 1988 | Question 10

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on combinatorics in Tournament.

Read More
May 18, 2020
Fair coin Problem | AIME I, 1990 | Question 9

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Fair Coin Problem.

Read More
May 22, 2022
CMI BSc Math Entrance 2022 - Question Paper and Solutions

This collection of problems and solutions from CMI Entrance 2022 is a work in progress. If you remember the problems, let us know in the comment section. Part A (indicate if each statement is true or false) Problem A1 Let $a_0 , a_1, a_2…..$ be an arithmetic progression such that $a_0$ and $a_1$ are positive […]

Read More
May 21, 2022
AMC 8 2020 Problem 9 | Cube Problem

Try this beautiful problem based on cube from AMC 8, 2020 Problem 9. You may use sequential hints to solve it.

Read More
May 20, 2022
ISI 2021 Objective Problem 23 I A Problem from Limit

Try this beautiful Objective Limit Problem appeared in ISI Entrance - 2021. You may use sequential hints to solve it.

Read More
May 19, 2022
NSEP 2015 Problem 3 | Rotational Motion

Try this problem on circular Motion and angular momentum from NSEP 2015. You may use sequential hints to solve it.

Read More
May 18, 2022
What are the Opportunities in College for Mathematics in India and Abroad

On 28th May 2022, Dr. Ashani Dasgupta is going to guide the students about the Opportunities in College for Mathematics in India and abroad.

Read More
May 18, 2022
How to Prepare for ISI-CMI Entrances 2023

On 28th May 2022, Dr. Ashani Dasgupta is going to guide the students to prepare for ISI-CMI Entrances 2023 on the basis of his teaching experience since 2010.

Read More
May 18, 2022
AMC 10A 2021 I Problem 20 | Enumeration

Try this beautiful Problem based on Enumeration from AMC 10A 2021, Problem 20. You may use sequential hints to solve it.

Read More
May 17, 2022
Math Kangaroo (Benjamin) 2021 Problem No 22

Try this beautiful Problem based on simple Arithmetic appeared in Math Kangaroo (Benjamin) - 2021 Problem 22. You may use sequential hints to solve it.

Read More
May 16, 2022
NSEP 2019 Problem 26 | Projectile Motion

Try this beautiful 2D Motion Problem based on Projectile Motion from NSEP 2019, Problem 26. You may use sequential hints to solve it.

Read More
May 15, 2022
NSEP 2015 Problem 2 | Rotational Motion

Try this problem on Rotational Motion from National Standard Examination in Physics, NSEP 2015. You may use sequential hints to solve it.

Read More
© 2010 - 2025, Cheenta Academy. All rights reserved.
linkedin facebook pinterest youtube rss twitter instagram facebook-blank rss-blank linkedin-blank pinterest youtube twitter instagram