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.
Learn how to use Menalaus's Theorem to solve geometry problem from AMC 8 2019. We also provide Knowledge Graph and a video discussion.
Try this problem from AMC 8 2019 Problem 25. It involved Bijiection Principle from combinatorics, in particular the stick and bar method.
AM GM Inequality has a geometric interpretation. Watch the video discussion on it and try some hint problems to sharpen your skills.
Cauchy Schwarz Inequality is a powerful tool in Algebra. However it also has a geometric meaning. We provide video and problem sequence to explore that.
A challenging number theory problem. Here the main idea is the visualization of a pattern of which appeared in the multiplication.
Can you add GCDs? This problem from RMO 2019 (Maharashtra region) has a beautiful solution. We also give some bonus questions for you to try.
This problem in number theory is an elegant applications of the ideas of quadratic and cubic residues of a number. Try with our sequential hints.
This problem is an advanced number theory problem using the ideas of lifting the exponents. Try with our sequential hints.