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January 20, 2020
INMO 2020 Problems, Solutions and Hints

INMO 2020 (Indian National Math Olympiad) 2020 Problems and Solutions. We provide sequential hints so that you can try the problems on your own.

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January 1, 2020
Beautiful problems from Coordinate Geometry

The following problems are collected from a variety of Math Olympiads and mathematics contests like I.S.I. and C.M.I. Entrances. They can be solved using elementary coordinate geometry and a bit of ingenuity.

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December 30, 2019
An interesting biquadratic from ISI Entrance 2005

How to combine algebra and geometry to solve a biquadratic? Try this beautiful problem from ISI Entrance 2005. We provide knowledge graph and video.

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December 9, 2019
cos(sin(x)) function in ISI Entrance

A simple trigonometric equation from ISI Entrance. Try this problem. We also added a quiz, some related problems, and finally video.

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December 6, 2019
Geometry of AM GM Inequality

AM GM Inequality has a geometric interpretation. Watch the video discussion on it and try some hint problems to sharpen your skills.

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December 2, 2019
Counting triangles in ISI Entrance

Can you combine geometry and combinatorics? This ISI Entrance problems requires just that. We provide sequential hints, additional problems and video.

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December 1, 2019
Paper folding geometry in ISI Entrance

A problem from ISI Entrance that requires Paper folding geometry. We provide sequential hints so that you can try the problem!

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October 10, 2019
An Hour of Beautiful Proofs

Every week we dedicate an hour to Beautiful Mathematics - the Mathematics that shows us how Beautiful is our Intellect. Today we are going to discuss the Fermat's Little Theorem. This week, I decided to do three beautiful proofs in this one-hour session... Proof of Fermat's Little Theorem ( via Combinatorics ) It uses elementary […]

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October 1, 2019
Inequality - In Equality

This article aims to give you a brief overview of Inequality, which will serve as an introduction to this beautiful sub-topic of Algebra. This article doesn't aim to give a list of formulas and methodologies stuffed in single baggage, rather it is specifically designed to make the introduction to the field of inequality more exciting […]

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September 23, 2019
AM GM inequality in ISI Entrance

Arithmetic Mean and Geometric Mean inequality form a foundational principle. This problem from I.S.I. Entrance is an application of that.

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June 30, 2020
LCM and Integers | AIME I, 1998 | Question 1

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1998, Problem 1, based on LCM and Integers.

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June 29, 2020
Rectangle Problem | Geometry | PRMO-2017 | Question 13

Try this beautiful Rectangle Problem from Geometry from PRMO 2017, Question 13. You may use sequential hints to solve the problem.

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June 29, 2020
Problem on Fraction | AMC 10A, 2015 | Question 15

Try this beautiful Problem on Fraction from Algebra from AMC 10A, 2015. You may use sequential hints to solve the problem.

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June 29, 2020
Pen & Note Books Problem| PRMO-2017 | Question 8

Try this beautiful Pen & Note Books Problem from Algebra from PRMO 2017, Question 8. You may use sequential hints to solve the problem.

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June 28, 2020
Greatest Positive Integer | AIME I, 1996 | Question 2

Try this beautiful problem from the American Invitational Mathematics Examination, AIME, 1996, Question 2, based on Greatest Positive Integer.

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June 28, 2020
Integers | AIME I, 1993 Problem | Question 4

Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1993 based on Integers. Use sequential hints if required.

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June 27, 2020
Sum of Digits base 10 | PRMO II 2019 | Question 7

Try this beautiful problem from the PRMO II, 2019 based on the Sum of Digits base 10. You may use sequential hints to solve the problem.

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June 27, 2020
Distance travelled | PRMO II 2019 | Question 26

Try this beautiful problem from the PRMO II, 2019, Question 26, based on Distance travelled. You may use sequential hints to solve the problem.

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June 26, 2020
Chords in a Circle | PRMO-2017 | Question 26

Try this beautiful Problem based on Chords in a Circle, Geometry from PRMO 2017, Question 26. You may use sequential hints to solve the problem.

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June 26, 2020
Circle | Geometry Problem | PRMO-2017 | Question 27

Try this beautiful Problem from Geometry based on Circle from PRMO 2017, Question 27. You may use sequential hints to solve the problem.

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