The competition consisted of four problems covering algebra, number theory, geometry, and combinatorics.
Problem 3 (Geometry) was noted for its "attackability" through multiple different methods, including classic Euclidean geometry, vectors, and coordinate geometry.
For further analysis, you can explore the full JBMO 2015 solutions and commentaries provided by the Viitori Olimpici platform. JBMO 2015 Problems and Solutions | PDF | Mathematics
A problem involving an acute triangle and perpendicular lines from a midpoint. The goal was to prove an equality between two angles,
for positive real numbers. The minimum value was found to be 3.
. 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.