As some may know, USAMTS round 1 problems have just been released. To read more about the USAMTS go here: http://www.usamts.org
(From the above link) "Students may use any materials - books, calculators, computers - but all the work must be their own. The USAMTS is run on the honor system - it is an individual competition, whose competitive role is very secondary. You certainly are allowed to look things up on the Internet. What you may not do is ask another person for help on a problem. Asking the question on a message board or a math help site would be asking another person for help.."
In the past there have been many occasions of people cheating on this site, so as always, please keep an eye out for current round problems.
Here is a pdf of the round 1 problems: http://usamts.org/Tests/Problems_30_1.pdf
EDIT: Round 2 has been released here: http://usamts.org/Tests/Problems_30_2.pdf
EDIT 2: Round 3 has been released here: http://usamts.org/Tests/Problems_30_3.pdf