Olympiad Inequalities: Tips from Engel’s book
In this post we focus on inequalities. First we look at tips from Engel’s book, then we solve a couple of problems using these tips. Finally I leave you with an exercise set.
Blog, Olympiad
Blog, Olympiad
Algebra problems from national olympiads
Usually olympiad algebra problems involves solving equations, proving inequalities and playing with polynomials. So I have collected a few basic problems. To keep you on your toes, I claim one proof is incomplete. Which one?
Blog, Olympiad
Olympiad Combinatorics practice
Four combinatorics problems for practice. The first two problems are on invariants, the third problem uses intermediate value theorem and the last one is a game.
Blog, Olympiad
INMO 25 Training Camp Geometry problems
This post contains a unique mix of geometry problems with diverse techniques: Angle chasing, power of a point, complex numbers, inversion and Euclidean transformations. The solutions of some of these problems are not available elsewhere in the internet. I believe that since I tried searching a lot before rolling my sleeves and attempting them. I used this set in INMO training camp 2024-25 at Bangalore, Bhopal and Chennai. Enjoy!
Blog, Olympiad
RMO 2024 sketches
I solved the RMO problems today after the exam. I am documenting the solutions and my feelings of difficulty (out of 5) for each problem. I hope you enjoy the solutions. Let me know if you liked it, and share the solutions with interested people.