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March 1, 2019
The Organic Math of Origami

Did you know that there exists a whole set of seven axioms of Origami Geometry just like that of the Euclidean Geometry? Instead of being very mathematically strict, today we will go through a very elegant result that arises organically from Origami. Before that, let us travel through some basic terminologies. Be patient for a […]

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February 16, 2019
Natural Geometry of Natural Numbers

Natural numbers also have a natural geometry of their. This post is about how they look in practice.

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February 12, 2019
Really understanding Barycentric coordinates

Sometimes we are interested in the relative position of a point with respect to a triangle. Is it close to the vertices? Is it closer to one of the sides compared to the other sides? This brings home the notion of mass point coordinates or barycentric coordinates.

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February 11, 2019
Problem Solving Marathon Week 2

We are having a full fledged Problem Solving Marathon. We are receiving wonderful responses from the end of our students which is making the session more and more alluring day by day. Here we are providing the problems and hints of "Problem Solving Marathon Week 2". The Set comprises three levels of questions as following-Level 0- for […]

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January 28, 2019
Cheenta @ This Week
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January 24, 2019
Indian National Math Olympiad, INMO 2019 Problems

INMO is organized by HBCSE-TIFR. This post is dedicated for INMO 2019 Discussion. You can post your ideas here.

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January 3, 2019
Understanding Simson Lines

Simson lines arise naturally. Imagine a triangle as a reference frame. Let a point float on the plane of the triangle. How far is the point from the sides of the triangle?

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January 1, 2019
What if a Simson Line moves!

A beautiful curved triangle appears when we run along the circumference! A magical journey into the geometry of Steiner's Deltoid.

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December 23, 2018
A Dream, An IMO 2018 Problem and A Why

IMO 2018 Problem 6 discussion is an attempt to interrogate our problem solving skill. This article is useful for the people who are willing to appear in any of the math olympiad entrances.

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December 19, 2018
2016 ISI Objective Solution Problem 1

Understand the Problem: The polynomial \(x^7+x^2+1\) is divisible by (A) \(x^5-x^4+x^2-x+1\)              (B) \(x^5-x^4+x^2+1\) (C) \(x^5+x^4+x^2+x+1\)           (D) \(x^5-x^4+x^2+x+1\) Solution A shorter solution or approach can always exist. Think about it. If you find an alternative solution or approach, mention it in the comments. We would love to hear something different from you. Also Visit: I.S.I. & C.M.I […]

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June 12, 2020
Integer based Problem | PRMO-2018 | Question 20

Try this beautiful Integer-based Problem from Algebra from PRMO 2018, Question 20. You may use sequential hints to solve the problem.

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June 12, 2020
Sum of two digit numbers | PRMO-2016 | Problem 7

Try this beautiful problem from Algebra, based on Sum of two digit numbers from PRMO 2016. You may use sequential hints to solve the problem.

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June 12, 2020
Finding side of Triangle | PRMO-2014 | Problem 15

Try this beautiful problem from the Pre-Regional Mathematics Olympiad, PRMO, 2014, based on finding side of Triangle. You may use sequential hints.

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June 9, 2020
The area of trapezoid | AMC 8, 2003 | Problem 21

Try this beautiful problem from Geometry: The area of a trapezoid from AMC-8 (2003). You may use sequential hints to solve the problem.

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June 9, 2020
Largest area Problem | AMC 8, 2003 | Problem 22

Try this beautiful problem from AMC 8, 2003, problem no-22 based on Largest area. You may use sequential hints to solve the problem.

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June 7, 2020
Surface area of Cube Problem | AMC-10A, 2007 | Problem 21

Try this beautiful problem from Geometry, based on Cube from AMC-10A, 2007. You may use sequential hints to solve the problem

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June 6, 2020
Triangle and Quadrilateral | AMC-10A, 2005 | Problem 25

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.

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June 6, 2020
Angles and Triangles | AIME I, 2012 | Question 12

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

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June 6, 2020
Digits and Numbers | AIME I, 2012 | Question 10

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

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June 5, 2020
Largest Common Divisor | PRMO-2014 | Problem 11

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.

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July 14, 2022
An Introduction to Modular Forms: Research Seminar

The objective of this Research seminar is to venture out a very minimal portion of the whole theory of modular forms.

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July 14, 2022
Math Kangaroo (Benjamin) 2016 Problem 24 | Play With Numbers

Try this Problem based on Playing With Numbers from Math Kangaroo (Benjamin) 2016 Problem 24. You may use sequential hints to solve it.

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July 13, 2022
How John Tom cracked CMI Entrance 2022?

How to Prepare for Chennai Mathematical Institute, CMI? Learn from John Tom who got into the CMI Entrance 2022.

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July 12, 2022
Math Kangaroo (Benjamin) 2016 | Problem 20 | Algebra

Try this beautiful problem based on Algebra from Math Kangaroo (Benjamin) 2016 Problem 20. Use sequential hints to try the problem.

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July 11, 2022
How Dwitimaya Sahoo cracked CMI Entrance 2022?

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Dwitimaya Sahoo who got into the CMI Entrance 2022.

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July 8, 2022
Geometry: Free Live Class For AMC 8

This Workshop seeks to shed light on the various applications of the Geometry concepts with the help of beautiful problems.

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July 7, 2022
How Mayur N Sastry cracked CMI Entrance 2022?

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Mayur N Sastry who got into the CMI Entrance 2022.

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July 6, 2022
How Vemparala Bhuvan cracked CMI Entrance 2022?

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Vemparala Bhuvan who got into the CMI Entrance 2022.

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July 4, 2022
How Ryan Hota cracked CMI Entrance 2022?

How to Prepare for Chennai Mathematical Institute, CMI? Learn from Ryan Hota who got into the CMI Entrance 2022.

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July 2, 2022
Number Theory: Free Live Class For INMO

This Workshop is the 1st session of the INMO Starter Program at Cheenta and it seeks to shed light on the various applications of the Inequalities with the help of beautiful problems.

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