2015 — Comentarii Jbmo

for positive real numbers. The minimum value was found to be 3.

A significant majority (24 out of 28) of gold and silver medalists achieved a perfect score on Problem 1, confirming its low difficulty. Comentarii JBMO 2015

The competition consisted of four problems covering algebra, number theory, geometry, and combinatorics. for positive real numbers

. Commentary suggests this was a very accessible problem, possibly even at a 5th or 6th-grade level, which resulted in a high number of maximum scores. including classic Euclidean geometry

This problem involved minimizing a specific expression given the constraint

. Notes indicate that many participants were able to solve this using analytical or vector methods.

Problem 3 (Geometry) was noted for its "attackability" through multiple different methods, including classic Euclidean geometry, vectors, and coordinate geometry.