Difference between revisions of "American Invitational Mathematics Examination"
| Line 1: | Line 1: | ||
| − | The ''' | + | 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). | High scoring AIME students are invited to take the prestigious [[United States of America Mathematics Olympiad]] (USAMO). | ||
Revision as of 18:45, 28 December 2013
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).
The AIME is administered by the American Mathematics Competitions (AMC). Art of Problem Solving (AoPS) is a proud sponsor of the AMC!
Contents
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 0 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 AMC12 level, while the later questions become extremely difficult in comparison. Calculators are not permitted.
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
- AMC homepage and their AIME page
- AIME Problems and Solutions -- A community effort to provide solutions to all AIME problems from which students can learn.
- The AoPS AIME guide.
- AMC Forum for discussion of the AMC and problems from AMC and AIME exams.
- The AoPS Contest Archive includes problems and solutions from most AMC and all AIME exams.
- Mock AIME exams by AoPSers -- A wealth of secondary practice materials.
Recommended reading
- Problem and solution books for past AMC exams.
- Introduction to Counting & Probability by Dr. David Patrick.
- Introduction to Geometry by Richard Rusczyk.
- Introduction to Number Theory by Mathew Crawford.
- Intermediate Algebra by Richard Rusczyk and Mathew Crawford.
- Intermediate Counting & Probability by Dr. David Patrick.
- Precalculus by Richard Rusczyk.
- The Art of Problem Solving Volume 1 by Sandor Lehoczky and Richard Rusczyk.
- The Art of Problem Solving Volume 2 by Sandor Lehoczky and Richard Rusczyk.
AMC Preparation Classes
- AoPS hosts an online school teaching introductory and intermediate 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
AIME Exams on the AoPSWiki
See AIME Problems and Solutions for a complete list of AIME tests in the AoPSWiki.
