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.
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.
How to combine algebra and geometry to solve a biquadratic? Try this beautiful problem from ISI Entrance 2005. We provide knowledge graph and video.
A simple trigonometric equation from ISI Entrance. Try this problem. We also added a quiz, some related problems, and finally video.
AM GM Inequality has a geometric interpretation. Watch the video discussion on it and try some hint problems to sharpen your skills.
Can you combine geometry and combinatorics? This ISI Entrance problems requires just that. We provide sequential hints, additional problems and video.
A problem from ISI Entrance that requires Paper folding geometry. We provide sequential hints so that you can try the problem!
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 […]
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 […]
Arithmetic Mean and Geometric Mean inequality form a foundational principle. This problem from I.S.I. Entrance is an application of that.
The inverse of a number (modulo some specific integer) is inherently related to GCD (Greatest Common Divisor). Euclidean Algorithm and Bezout's Theorem forms the bridge between these ideas. We explore these beautiful ideas.
Try this beautiful problem from the Pre-RMO, 2018 based on the Nearest value. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination II, AIME II, 2015 based on Sequence and permutations.
Try this beautiful problem number 1 from the American Invitational Mathematics Examination, AIME, 2012 based on Numbers of positive integers.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1999 based on the number of points and planes.
Try this beautiful problem number 2 from the American Invitational Mathematics Examination I, AIME I, 2012 based on Arithmetic Sequence Problem.
Try this beautiful Problem on Graph Coordinates from co-ordinate geometry from AMC 10A, 2015. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2018 based on the Smallest value. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2018 based on Digits of number. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1987 based on Length and Triangle.
Try this Integer Problem from Algebra from PRMO 2017, Question 1 You may use sequential hints to solve the problem.