Selected Problems Of The Vietnamese Mathematica... Apr 2026

Deep dives into roots and coefficients that require more than just Vieta’s formulas.

Unlike the shorter, high-speed AMC or AIME exams, the VMO often feels like a marathon. Problems are designed to test deep structural understanding rather than just "tricks." Vietnam has historically been a powerhouse in the International Mathematical Olympiad (IMO), and the VMO is the sieve that catches their finest analytical minds. Selected Problem: Sequences & Convergence Selected Problems of the Vietnamese Mathematica...

xn+1=xn+1⌊xn⌋x sub n plus 1 end-sub equals x sub n plus the fraction with numerator 1 and denominator the floor of x sub n end-floor end-fraction Deep dives into roots and coefficients that require

. Eventually, these additions must push the sum to the next integer Why this matters Vietnamese problems frequently focus on:

. The beauty of the problem lies in proving that it doesn't "skip" over an integer due to the discrete steps. Why this matters Vietnamese problems frequently focus on:

The Vietnamese Mathematical Olympiad (VMO) is legendary in the competitive math world for its grueling multi-day format and its penchant for "beautifully difficult" geometry and functional equations.

At first glance, the sequence grows very slowly because we are adding small fractions. However, as stays within a range , we are repeatedly adding