Christmas Invitational Mathematics Examination

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The Christmas Invitational Mathematics Examination (CIME), like the AIME, is the second exam in the series of exams used to challenge bright students on the path toward choosing the team that represents the United States at the Christmas American Math Olympiad CAMO. While most AIME participants are high school students, some bright middle school students also qualify each year.

The CIME is administered by the Mathematical Association of Christmas (MAC). Art of Problem Solving (AoPS) is a proud sponsor of the CMC!

Region: USA
Type: Free Response
Difficulty: 3-6
Difficulty Breakdown:

Problem 1-5: 3
Problem 6-10: 4
Problem 10-12: 5
Problem 12-15: 6




The CIME tests mathematical problem solving with arithmetic, algebra, counting, geometry, number theory, and probability and other secondary school math topics. Problems usually require either very creative use of secondary school curriculum, or an understanding as to how different areas of math can be used together to investigate and solve a problem.



AIME Preparation Classes

  • AoPS hosts an online school teaching introductory classes in topics covered by the AIME as well as AIME preparation classes.
  • AoPS holds many free Math Jams, some of which are devoted to discussing problems on the AIME. Math Jam Schedule

CIME Exams in the AoPSWiki

This is a list of all AIME exams in the AoPSWiki. Some of them contain complete questions and solutions, others complete questions, and others are lacking both questions and solutions. Many of these problems and solutions are also available in the AoPS Resources section. If you find problems that are in the Resources section which are not in the AoPSWiki, please consider adding them. Also, if you notice that a problem in the Wiki differs from the original wording, feel free to correct it. Finally, additions to and improvements on the solutions in the AoPSWiki are always welcome.

See also