Stony Brook Problem of the Month - Monthly math challenge with past problem archives and solutions, and hall of fame. - http://www.math.sunysb.edu/monthly-problem/
IBM Research Ponder This - A monthly on-line competition hosted by researchers at IBM. - http://researchweb.watson.ibm.com/ponder/
Mathematics Problem Solving Task Centres - Designed to assist teachers and students in problem solving. Includes problem of the month. Paid membership is required to view archived problems. - http://www.mav.vic.edu.au/members/problems.html
Math Forum: Math Fundamentals Problem of the Week - A weekly interactive project for elementary school mathematics. Past problems, solutions, and student recognition. Paid membership required to view problems. - http://mathforum.org/funpow/
Math Forum: Discrete Math Problems of the Week - Past problems and solutions, student recognition. Paid membership required to view problems. - http://mathforum.org/library/problems/discrete.html
PuzzleUp - Weekly math problem with archive and scoreboard. - http://www.puzzleup.com/
Trent University Problem of the Week - Weekly math problems and solutions from Trent University. - http://euclid.trentu.ca/math/dgp/potw_main.html
Bradley University Problem of the Week - Weekly math problem and archive from Professor Alberto L. Delgado. - http://bradley.bradley.edu/~delgado/potw/potw.html
Dansmath Problem of the Week - Weekly math problem, with solutions, archive, and leader board. - http://www.dansmath.com/probofwk/probofwk.html
Problem of the Month - Posted by the Mathematics Department of Bilkent University. - http://www.fen.bilkent.edu.tr/~cvmath/Problem/problem.htm
Math Forum: Algebra Problem of the Week - Past archive and solutions. Receive help from a mentor. Paid membership required to view problems. - http://mathforum.org/algpow/
Math Forum: Geometry Problem of the Week - Past archive and solutions. Receive help from mentor. Paid membership required to view problems. - http://mathforum.org/geopow/
Math Magic - Devoted to original mathematical recreations with puzzles and links. - http://www.stetson.edu/~efriedma/mathmagic/
Math Forum: Problems of the Week - Projects from the Math Forum presenting weekly interactive math challenges to accumulate points for bronze, silver and gold prizes. Individual or class participation. Paid membership required to view problems. - http://mathforum.org/pow/
Problem of the Fortnight - Twice-monthly problems with archive and solutions. - http://persweb.wabash.edu/facstaff/axtellm/fortnight/fortnight.html
Monthly Problem - Math problems and solutions from Math Central. - http://mathcentral.uregina.ca/MP/current/
Macalester College Problem of the Week - Weekly math problem and archive from Professor Stan Wagon for first-year college students presented by the Math Forum. - http://mathforum.org/wagon/