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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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November 28, 2018
ISI - CMI entrance Book List

ISI - CMI entrance book list is useful for B.Stat and B.Math Entrance of Indian Statistical Institute, B.Sc. Math Entrance of Chennai Mathematical Institute

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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.

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May 17, 2020
Circular Cylinder Problem | AMC-10A, 2001 | Problem 21

Try this beautiful problem from Geometry: circular cylinder from AMC-10A, 2001. You may use sequential hints to solve the problem.

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May 17, 2020
Positive divisor | AIME I, 1988 | Question 5

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

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May 17, 2020
Algebraic Equation | AMC-10A, 2001 | Problem 10

Try this beautiful problem from algebra, based on algebraic equations from AMC-10A, 2001. You may use sequential hints to solve the problem.

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May 17, 2020
Area of the Region Problem | AMC-10A, 2007 | Problem 24

Try this beautiful problem from Geometry: Area of region from AMC-10A, 2007, Problem-24. You may use sequential hints to solve the problem.

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May 17, 2020
Ordered pair Problem | AIME I, 1987 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Ordered pair. You may use sequential hints.

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May 16, 2020
Rearrangement Problem | PRMO 2019 | Question 27

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

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May 16, 2020
Natural Numbers Problem | PRMO 2019 | Question 30

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

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May 16, 2020
Arranging in column | AIME I, 1990 | Question 8

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Interior Angle.

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May 16, 2020
Head Tail Problem | AIME I, 1986 | Question 13

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

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