6 problems from Mathematch, each rated for difficulty. Solve one to open its discussion.
Mathematch (officially the National Mathematical Challenge / Southern Tagalog Invitational Mathematical Challenge) is an annual inter-high school mathematics quiz contest organized by the UP Los Baños Mathematical Sciences Society, held during the Mathematical Sciences Week hosted by the UPLB Mathematical Sciences Society. Originally regional in scope, it has since expanded into a nationwide competition open to junior and senior high school students, endorsed by DepEd regional offices.