The following problem was posed in the March 2025 issue of Crux Mathematicorum. OC 722 : Let $p$ and $q$ be distinct primes. Assume that the four numbers $p^{23}, p^{24}, q^{23}, q^{24}$ occur (not necessarily consecutively) in a decreasing arithmetic progression. Show that the primes $p$ and $q$ themselves also appear in that same progression. Solution by […]
The following problem was posed in the March 2025 issue of Crux Mathematicorum. Solution to MA311 by Srikanth, Mudhitha Maths Academy, Chennai. Authors: Srikanth is the instructor at Mudhitha Maths Academy, Chennai. He is very fond of problem solving and puzzle games. He is an assistant professor of mathematics by the week, enjoys designing software
The following problem was posed in the March 2025 issue of Crux Mathematicorum. Solution to MA312 by Srikanth and Achudhan: Authors: R.Achudhan is a 9th grader who is enrolled in Target RMO 25 at Mudhitha Maths Academy ,Chennai. He loves solving problems especially non-routine kind. His love for mathematics and problem solving has kindled his
The following problem was posed in the March 2025 issue of Crux Mathematicorum. Solution to MA311 by Srikanth and Achudhan. Authors: R.Achudhan is a 9th grader who is enrolled in Target RMO 25 at Mudhitha Maths Academy ,Chennai. He loves solving problems especially non-routine kind. His love for mathematics and problem solving has kindled his
“One of the endearing things about mathematicians is the extent to which they will go to avoid doing any real work.” –Matthew Pordage In this blog post, we discuss the definition and properties of inversion, suggest a few configurations, outline the solution to a sample problem, and conclude with a few exercises. Inversion: A recap
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.
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?
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.
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!
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.
