AIME（American Invitational Mathematics Examination）是介于AMC10、AMC12及美国数学奥林匹克竞赛（USAMO）之间的一个数学竞赛，竞赛开始于1983年，在每年的3月底举行。
在AMC12测试中得分在100分以上或成绩在所有参赛者中排名前5％的学生，以及在AMC10测试中成绩在所有参赛者中排名前2.5％的学生可被邀请参加AIME数学竞赛。
AIME竞赛与美国高中数学竞赛及美国数学奥林匹克竞赛一样，考题基本可以使用中学数学方法解决。
AIME的考题相对于AMC10及AMC12而言更具难度，提供了更进一步的挑战和认可，而AIME成绩优异的美国籍学生将再被邀请参加USJMO和USAMO数学竞赛。因此透过这一国际数学测试，也可让美国地区以外的，在数学方面有优异才能的学生，通过对比对自己的优异得到肯定。
题数︰15题
时间︰3小时
题型︰问答题(应用题)
满分︰15分
成绩处理︰AMC总部。
计分方式︰一题一分，答错不倒扣。
测试日期为每年3月的下旬举行。
2011AIME参赛分数线确定为：
2011年AMC10(A)分数达到117分； 2011年AMC10(B)分数达到117分； 2011年AMC12(A)分数达到93分； 2011年AMC12(B)分数达到97.5分的学生，取得参加AIME的资格； 2012年AMC12(B)分数达到99分的学生，取得参加AIME的资格
The AIME (American Invitational Mathematics Examination) is an intermediate examination between the AMC 10 or AMC 12 and the USAMO. All students who took the AMC 12 and achieved a score of 100 or more out of a possible 150 or were in the top 5% are invited to take the AIME. All students who took the AMC 10 and had a score of 120 or more out of a possible 150, or were in the top 2.5% also qualify for the AIME. For the 2011-2012 school year the date for the AIME I is Thursday, March 15, 2012 and the AIME II is Wednesday, March 28, 2012. There is no additional registration fee for the American Invitational Mathematics
Starting in 2011, the qualification parameters will be slightly relaxed for the American Invitational Mathematics Examination (AIME). For students taking the 2011 AMC 10 contests, we will invite students in the top 2.5% of all scorers or scorers with at least 120 points (whichever is more inclusive) to the AIME. This differs from the values of 1% (or 120 points) which have been in effect since 2004. For students taking the 2011 AMC 12, we will invite students in the top 5% of all scorers or scorers with at least 100 points to the AIME. These AMC 12 qualification values remain at the same level they have been since 2000. This policy guards against the possibility of a particularly difficult examination, one on which the scores are uniformly lower than normal, reducing the number of AIME qualifiers.
The requirement is set higher for AMC 10 qualifiers for two reasons:
• First, the AIME can be quite intimidating, and we do not want young students to be discouraged by poor performance on this examination.
• Second, we would like to ensure that any student qualifying for the AIME by virtue of placement on the AMC 10 would likely also qualify for the AIME in subsequent years when taking the AMC 12. It could be very disappointing for a student to be an AIME qualifier in grade 10 but not in subsequent high school years.
By restricting the number of AIME qualifiers from the AMC 10 to the top 2.5%, our plan is to not exclude any very good young students for whom the AIME would be an appropriate experience, but also not put students in a situation where they do not have opportunity to succeed.
Take note: New procedures for the AIME II (Alternate AIME):
The AMC will be using some new procedures for the AIME II (also called the AIME Alternate) this year. Recall that the second (or alternate) date, for the AIME II is Wednesday, March 30, 2011.
1.The AMC office will mail the 2011 AMC 10 and 2011 AMC 12 reports back to schools starting in late February and continuing until early- to mid-March. In that AMC 10 and AMC 12 report will be a list of a school’s AIME qualifiers.
2.Included in that report will be AIME I contests (in a sealed envelope) for the school’s AIME qualifiers, AIME answer forms and the AIME/USAMO Teacher’s Manual. This is the same as we have done for many years.
3.If your AIME qualifiers will be taking the AIME I on Thursday, March 17, 2011 then everything will be set, you need only follow the directions for the AIME I in the Teachers Manual, and send back the AIME answer forms for scoring.
4.If your AIME qualifiers will be taking the AIME II on Wednesday, March 30, 2011 then you will still need to fill out the AIME II (or AIME Alternate) registration either on our webpage (electronic registration) or with the paper form in the AIME Teachers’ Manual. Be sure to include a valid email address.
5.SAVE the AIME Answer forms you receive in the AMC 10/AMC12 report. We will use the same answer forms for both AIME I and AIME II. Also save the AIME Report Envelope, we will use the same AIME Report Envelope for sending back both the AIME I and the AIME II.
6.Watch your email on March 29 for the electronic message containing the AIME II. It will be come as a PDF document attached to the email. Print the AIME II, then make enough copies for each participating AIME II qualifier.
7.Have students taking the AIME II write “AIME II” in pencil on the top front of the answer form, same side as the answers.
8.Any other necessary directions will be in the AIME Teachers’ Manual.
These new procedures are designed to reduce costs, be faster and more efficient, and more environmentally friendly with less paper and transportation.
Recognition
The AIME is intended to provide further challenge and recognition, beyond that provided by the AMC 10 or AMC 12, to the many high school students in North America who have exceptional mathematical ability. The top scoring U. S. citizens and students legally residing in the United States and Canada (with qualifyng scores, based on a weighted average) are invited to take the USAMO.
Content
The AIME is a 15 question, 3 hour examination in which each answer is an integer number from 0 to 999. The questions on the AIME are much more difficult and students are very unlikely to obtain the correct answer by guessing. As with the AMC 10 and AMC 12 (and the USAMO), all problems on the AIME can be solved by pre-calculus methods. The use of calculators is not allowed.
The AIME provides the exceptional students who are invited to take it with yet another opportunity to challenge their mathematical abilities. Like all examinations, it is but a means towards furthering mathematical development and interest. The real value of the examination is in the learning that can come from the preparation beforehand and from further thought and discussion of the solutions.
