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A beautiful geometry problem from Math Olympiad program that involves locus of a moving point. Sequential hints will lead you toward solution.

Alexander the great founded Alexandria in Egypt. This was in the year 332 Before Christ.  Since then Alexandria became one of the most important cities of the world. It had the Light House and the Great Library. These were the wonders of ancient world.  Perhaps a much less known wonder was Pappus the geometer. Pappus […]

This is proof from my book - my proof of my all-time favorite true result of nature - Pick's Theorem. This is the simplest proof I have seen without using any high pieces of machinery like Euler number as used in The Proofs from the Book. Given a simple polygon constructed on a grid of […]

Here is a problem based on the area of triangle from ISI B.Stat Subjective Entrance Exam, 2018. Sequential Hints: Step 1: Draw the DIAGRAM with necessary Information, please! This will convert the whole problem into a picture form which is much easier to deal with. Step 2: Power of a Point - Just the similarity […]

Napoleon Bonaparte loved mathematics. Legend goes that he discovered a beautiful theorem in geometry. It is often called the Napoleon Triangle and has applications in math olympiad

Inspired by the book of Precalculus written in a dialogue format by L.V.Tarasov, I also wanted to express myself in a similar fashion when I found that the process of teaching and sharing knowledge in an easy way is nothing but the output of a lucid conversation between a student and a teacher inside the […]

The 3n+1 Problem is known as Collatz Conjecture. Consider the following operation on an arbitrary positive integer: If the number is even, divide it by two. If the number is odd, triple it and add one. The conjecture is that no matter what value of the starting number, the sequence will always reach 1. Observe […]

Suppose on a highway, there is a Dhaba. Name it by Dhaba A. You are also planning to set up a new Dhaba. Where will you set up your Dhaba? Model this as a Mathematical Problem. This is an interesting and creative part of the BusinessoMath-man in you. You have to assume something for Mathematical […]

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 […]

A beautiful journey in geometry through sequential hints! We take a (very) slow walk in Indian National Math Olympiad (INMO 2019) first problem.

Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on Surface area. You may use sequential hints.

Try this beautiful problem from Geometry, based on Cube from AMC-10A, 2007. 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 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 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 based on AP GP from AMC-10A, 2004. 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 Prime number from TOMATO useful for ISI B.Stat Entrance.You may use sequential hints to solve the problem.