Below are some of the problems I used in the 2011 math summer camp at CCC. Feel free to use them for individual practice or your own MATHCOUNTS program.

Plain old team round . A good mock-up of a MATHCOUNTS team round, if you remove four problems of your choice. Answers.

Relays . A mathematical relay with three positions. This one proved to be very challenging. Answers.

Mini Relays . A relay with only two positions. The second position contains problems from the 2009 Duke Math Meet. Answers.

Guts Round - Part I . The first part of a difficult guts round, containing real HMMT problems. Solutions can be found on the official HMMT website.

Group Theory Notes . A good introduction to group theory, to complement Paul's lecture. Includes an application to the Rubik's Cube.

Calculator Countdown. By popular request, a countdown round that allows calculators! Problems may be quite difficult. The PowerPoint contains all answers. An answer sheet is also available.

"Food Hunt" clues. A set of relay-like problems. Each problem takes in an input. These were originally used in a relay-like "food hunt", but may also be incorporated into a regular relay. Answers here.