Difference between revisions of "American Invitational Mathematics Examination"
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High scoring AIME students are invited to take the prestigious [[United States of America Mathematics Olympiad]] (USAMO) for qualification from taking the AMC 12 or United States of America Junior Mathematics Olympiad (USAJMO) for qualification from taking the AMC 10. | High scoring AIME students are invited to take the prestigious [[United States of America Mathematics Olympiad]] (USAMO) for qualification from taking the AMC 12 or United States of America Junior Mathematics Olympiad (USAJMO) for qualification from taking the AMC 10. | ||
| − | The AIME is administered by the [[Mathematical Association of America]] (MAA). [[Art of Problem Solving]] (AoPS) is a proud sponsor of the AMC | + | The AIME is administered by the [[Mathematical Association of America]] (MAA). [[Art of Problem Solving]] (AoPS) is a proud sponsor of the AMC. |
| − | {{Contest Info|name=AIME|region=USA|type=Free Response|difficulty=3-6|breakdown=<u>Problem 1-5</u>: 3<br><u>Problem 6-10</u>: 4<br><u>Problem | + | {{Contest Info|name=AIME|region=USA|type=Free Response|difficulty=3-6|breakdown=<u>Problem 1-5</u>: 3<br><u>Problem 6-10</u>: 4<br><u>Problem 11-12</u>: 5<br><u>Problem 13-15</u>: 6}} |
== Format == | == Format == | ||
The AIME is a 15 question, 3 hour exam<math>^1</math> taken by high scorers on the [[AMC 10]], [[AMC 12]], and [[USAMTS]] competitions. Qualification through USAMTS only is rare, however. Each answer is an integer from 000 to 999, inclusive, making guessing almost futile. Wrong answers receive no credit, while correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few questions are generally AMC 12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted. | The AIME is a 15 question, 3 hour exam<math>^1</math> taken by high scorers on the [[AMC 10]], [[AMC 12]], and [[USAMTS]] competitions. Qualification through USAMTS only is rare, however. Each answer is an integer from 000 to 999, inclusive, making guessing almost futile. Wrong answers receive no credit, while correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few questions are generally AMC 12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted. | ||
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<math>^1</math> In the first two years (1983 and 1984) there was a 2.5 hour time limit instead of the current 3 hour limit. | <math>^1</math> In the first two years (1983 and 1984) there was a 2.5 hour time limit instead of the current 3 hour limit. | ||
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== Curriculum == | == Curriculum == | ||
The AIME 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. | The AIME 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. | ||
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== Resources == | == Resources == | ||
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== See also == | == See also == | ||
| − | * [[Mathematics | + | * [[American Mathematics Competitions]] |
| − | * [[ | + | * [[AIME Problems and Solutions]] |
| − | * [[ | + | * [[AMC historical results]] |
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[[Category:Mathematics competitions]] | [[Category:Mathematics competitions]] | ||
[[Category:Intermediate mathematics competitions]] | [[Category:Intermediate mathematics competitions]] | ||
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Revision as of 00:35, 3 February 2025
The American Invitational Mathematics Examination (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 International Mathematics Olympiad (IMO). While most AIME participants are high school students, some bright middle school students also qualify each year.
High scoring AIME students are invited to take the prestigious United States of America Mathematics Olympiad (USAMO) for qualification from taking the AMC 12 or United States of America Junior Mathematics Olympiad (USAJMO) for qualification from taking the AMC 10.
The AIME is administered by the Mathematical Association of America (MAA). Art of Problem Solving (AoPS) is a proud sponsor of the AMC.
| AIME |
| Region: USA |
| Type: Free Response |
| Difficulty: 3-6 |
| Difficulty Breakdown:
Problem 1-5: 3 |
Format
The AIME is a 15 question, 3 hour exam
taken by high scorers on the AMC 10, AMC 12, and USAMTS competitions. Qualification through USAMTS only is rare, however. Each answer is an integer from 000 to 999, inclusive, making guessing almost futile. Wrong answers receive no credit, while correct answers receive one point of credit, making the maximum score 15. Problems generally increase in difficulty as the exam progresses - the first few questions are generally AMC 12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted.
In the first two years (1983 and 1984) there was a 2.5 hour time limit instead of the current 3 hour limit.
Curriculum
The AIME 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.
Resources
Links
- The MAA's official webpage for the AMC and its Invitational Competitions page
- The AoPS Wiki's AIME Problems and Solutions page
- The AoPS Contest's AIME Problems folder
- Statistics for the past AMC and AIME exams
- The AoPS Contests & Programs Forum for contest related discussions
- AoPS User created mock AIMEs, an abundance of mocks designed to mimic real AIME tests, compiled here in AoPS Contests
- Past HMMT, PUMaC, and CMIMC problems
- Evan Chen's Math Contest Platitudes blog, a guide to contest preparation. See also: Math Contest FAQs
- Math.llmlab.io, an online contest training platform
Books & Classes
- The Art of Problem Solving Volume 2 by Richard Rusczyk and Sandor Lehoczky, the founders of the AoPS website. See also: AoPS Bookstore Recommendations
- 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
