- Intermediate Counting & Probabilty
- Intermediate Algebra
- PreCalculus
- Art of Problem Solving Volume 2
If you have qualified for AIME, you have probably studied the more elementary AopS books fully, and can expect to get 4-6 or less with just these basics. If you want to score 7+ on the AIME, you will need to study the more advanced AoPS books listed above, as well as past AIME problems and solutions.
The official solution sets generally provide a single solution to a given problem, demonstrating the feasibility of solution within the standard high school curriculum. However, AIME questions are often quite rich and have many possible alternate solutions, which also should also be studied for effective contest preparation. The largest collection of alternate solutions are available on the AoPS web sites' AIME Problems and Solutions page at https://artofproblemsolving.com/wiki/index.php/AIME_Problems_and_Solutions
| Past AIME Contest Booklets and Official Solution Sets | |||
|---|---|---|---|
| Problems | Size | Official Solutions | Size |
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 0.5 MB | 0.5 MB | ||
| 17.9 MB | 27.5 MB | ||
| Core Study and Review Books are the AoPS Series: | |
|---|---|
| AIME 4-6: (Basic AoPS Books) | AIME 7+: (Advanced AoPS Books) |
| AIME 7+ Topics (These topics will get you to 7+ on the AIME) | ||
|---|---|---|
| Topic | Additional Practice and Reference | |
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | / | |
| . | ||
| . | ||
| AIME 10+ Topics (Add in these to get to 10+) | ||
|---|---|---|
| Topic | Additional Advanced Practice and Reference | |
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| . | ||
| Recommended Problem and Review Books | ||
|---|---|---|
| Book | Size | |
| Challenging Problems in Algebra - Posamentier,Salkind 1970 (Dover) | ||
| Challenging Problems in Geometry - Posamentier,Salkind 1970 (Dover) | ||
| Challenging Problems with Elementary Solutions I - Yaglom, Yaglom, 1964 (Dover) | ||
| 7.3 MB | ||
| 3.8 MB | ||
| 9.2 MB | ||
| 14.5 MB | ||
| 3.8 MB | ||
| 3.2 MB | ||
| Elementary Number Theory: A Problem Oriented Approach - Roberts | ||
| Counting, 2nd Edition - Meng, Guan (2013) | ||
| Principles and Techniques in Combinatorics - Chen, Koh (1992) | ||
| More advanced ... | ||
| 21.4 MB | ||
| 6.7 MB | ||
Stack Exchange Network
Stack Exchange network consists of 183 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Q&A for work
Connect and share knowledge within a single location that is structured and easy to search.
How do you prepare for AIME? [closed]
Is the best way to prepare for AIME with past problems or with books? If with books, could you recommend some?
- contest-math
- 2 $\begingroup$ not via this website $\endgroup$ – mathworker21 Commented Jul 28, 2019 at 23:19
- $\begingroup$ I'd say past problems is best though $\endgroup$ – mathworker21 Commented Jul 28, 2019 at 23:19
- $\begingroup$ Related: awesomemathgirls.org/math-competitions/how-to-prepare . I don't know personally since I didn't take the AIME. $\endgroup$ – Axion004 Commented Jul 28, 2019 at 23:23
- $\begingroup$ @mathworker21, are you stating that from personal experience of taking the AIME? $\endgroup$ – mpnm Commented Jul 28, 2019 at 23:29
- 2 $\begingroup$ idk what that means. I did take AIME, but I didn't live two different lives in which one I prepared via past problems and the other I prepared via books and in the first life I did better on the AIME than in the second. $\endgroup$ – mathworker21 Commented Jul 28, 2019 at 23:34
You might already know of the Art of Problem Solving website. That's your best resource. If you are asking for AIME preparation, perhaps you are confident with your AMC skills? If not, you need to focus on this test to make sure you can even get to the AIME. Focus on strengthening your weakest subject. In general, the four "competition subjects" are Algebra, Geometry, Number Theory, and Combinatorics. Learn the basics first. I can't speak for all of the AoPS books, but the self-titled ones "Art of Problem Solving Volume 1&2" are very good. They cover all the topics at a very good level for the AIME.
Experience: AMC 12 DHR, 2-time AIME score of 7 (not that great, but...)
- $\begingroup$ Absolutely! I found AOPS books great for building a foundation. I think that that simply trying out AMC and aime tests gives you an idea of what topics of math you understand and can apply best in contest contexts. then you can try to delve deeper and learn what you already don’t. AMC 12 barely qualified and a 10 on aime. oh and by the way, try not to shy away from topics you don’t understand at all, and ask for help when needed. AIME truly is a test when the problems range from jokes to seemingly impossible $\endgroup$ – Saketh Malyala Commented Jul 29, 2019 at 0:23
Not the answer you're looking for? Browse other questions tagged contest-math .
- Featured on Meta
- Upcoming sign-up experiments related to tags
Hot Network Questions
- Is there a phrase like "etymologically related" but for food?
- Can this flying island survive a 15kt nuke? (and if yes, how much more can it take?)
- How does the June 2024 Ukraine peace summit hope to achieve peace, if Russia is not invited?
- What type of aircraft is this?
- Same material on different objects, different reflection
- How do I emphasize a sentence without making it seem like the character is shouting?
- JSON data format for MCQ data bank
- Is Earth's Atmospheric Thickness Related to Cosmic Ray Radiation?
- Looking at buying house with mechanical septic system. What questions should I be asking?
- What are those (1) numbers under each character in my castle?
- How big can a chicken get?
- What are the approaches of protecting against partially initialized objects?
- What is the maximum number of fish possible in your tank?
- Having friends who are talented is great, but it can also be ___ at times
- MOSFET driver: Totem Pole or NPN Self-Biasing Turn-Off Circuit
- Please help me with this paradox
- Are there statements so self-evident that writing a proof for them is meaningless? Is this an example of one?
- The smell of wet gypsum
- "Better break out the weapons" before they leave the ship and explore the planet -- what kind?
- Algorithm for finding intersection of two groups from generators
- What is equilibrium economics
- Why is this RegionFunction not working in my StreamPlot?
- Starlink Satellite Orbits
- On a probability density generated by the sum of reciprocols of divisors of integers
Summer camps begin this month! Secure your spot in our math and language arts camps today!
Unlock Your Student's Future Potential
Advanced Online Math and Language Arts Courses for Grades 2–12
Starting at $50/week
Since 1993, Art of Problem Solving has helped train the next generation of intellectual leaders. Hundreds of thousands of our students have gone on to attend prestigious universities, win global math competitions, and achieve success in highly competitive careers.
Why Students & Parents AoPS Academy
"My son LOVES his class! The math is inspiring, the teacher has a wonderful sense of humor, and he got to meet other students who love math as much as he does. Amazing job! Thank goodness we found AoPS!" — Excited Dad
"The staff at AoPS Academy do a great job helping students reach their fullest potential. My children have learned to think logically and creatively through solving tough problems. I'm glad we found this valuable resource!" — Usha D, Parent
Summer Math
Grades 3–12
Preparing students for the next school year and math contests like AMC and MATHCOUNTS through enriched study and exploration beyond the standard curriculum
Math Beasts Camp 3
Math beasts camp 4, math beasts camp 5, math beasts camp 6 (prealgebra prep), math beasts camp 7-8 (algebra prep), math beasts camp 8-9 (geometry prep), middle school math contests: number theory and geometry, middle school math contests: algebra and counting, amc 10/12 prep camp, summer language arts.
Grades 3–10
Students put their creative and analytical skills to the test with Language Arts enrichment camps designed to enhance reading, writing, and persuasive speaking skills
Creative Writing
Writing for the spotlight, language arts triathlon, rhyme-bot derby: language craft and analysis.
Myth Quest: Creative Writing and Archaeology
Mock trial: persuasive speaking, academic essay writing, year-round math.
Grades 2–12
Using our world-renowned AoPS and Beast Academy textbook series, each level provides a full year math curriculum that dives deep into all core topics
Honors Math 2
Honors math 3, honors math 4, honors math 5, honors math 6: prealgebra, contest math 6: prealgebra, honors math 7: introduction to algebra, contest math 7: introduction to algebra, honors math 7.5: counting, probability, and number theory, honors math 8: introduction to geometry, contest math 8: introduction to geometry, honors math 9: intermediate algebra, honors math 10: precalculus, honors calculus, high school contest math, year-round language arts.
Engaging in this full curriculum designed for motivated learners, students will learn the skills required to succeed in high school and beyond by building a strong foundation in all aspects of language arts
Honors Language Arts 3
Honors language arts 4, honors language arts 5, honors language arts 6: foundations in middle school language arts, honors language arts 7: persuasive writing and thinking, honors language arts 8: research, presentation, and public speaking, go above and beyond with aops.
Solve tough problems through immersive active-learning experiences
Collaborate with exceptional classmates from across the country.
Participate in lively, interactive activities through a video conferencing format
Ready to start solving problems?
- Edit source
AIME is a Mathmatics Competition only available to the continental U.S.
AIME stands for American Invitational Mathematics Examination.
You have 3 hours to solve 15 AIME questions. These are short answer problems.
It is much harder than MATHCOUNTS and AMC questions.
2018 AIME II
2018 AIME II problems and solutions. The test was held on Wednesday, March 21, 2018. The first link contains the full set of test problems. The rest contain each individual problem and its solution.
- Entire Test
| ( • • ) | ||
| Preceded by | Followed by | |
Something appears to not have loaded correctly.
Click to refresh .
IMAGES
VIDEO
COMMENTS
AIME Problems and Solutions. This is a list of all AIME exams in the AoPSWiki. 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 ...
2022 AIME I. 2022 AIME I problems and solutions. The test was held on Tuesday, February 8, 2022. The first link contains the full set of test problems. The rest contain each individual problem and its solution. Entire Test.
AIME Problem Series A. Preparation for the AIME, the second in the series of tests used to determine the United States team at the International Math Olympiad. Many top colleges also request AIME scores as part of the college application process. The course also includes a practice AIME test. 12 lessons.
2020 AIME I Problems. This is a 15-question, 3-hour examination. All answers are integers ranging from to , inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers. No aids other than scratch paper, graph paper, ruler, compass, and protractor are permitted.
The problems and solutions for this AIME were prepared by the MAA AIME Editorial Board under the direction of: Jonathan Kane and Sergey Levin, co-Editors-in-Chief ... Art of Problem Solving Jane Street Capital Sustainer's Circle Ansatz Capital Army Educational Outreach Program Collaborator's Circle
Solution 1 (Casework) We break the problem into stages, one for each card revealed, then further into cases based on the number of remaining unrevealed cards of each color. Since expected value is linear, the expected value of the total number of correct card color guesses across all stages is the sum of the expected values of the number of ...
Art of Problem Solving Volume 2 ; If you have qualified for AIME, you have probably studied the more elementary AopS books fully, and can expect to get 4-6 or less with just these basics. If you want to score 7+ on the AIME, you will need to study the more advanced AoPS books listed above, as well as past AIME problems and solutions.
We have: Now, if , then , and if , then , and so on. Testing with , we get respectively. From 1 to 2023, there are 405 numbers congruent to 1 mod 5, 405 numbers congruent to 2 mod 5, 405 numbers congruent to 3 mod 5, 404 numbers congruent to 4 mod 5, and 404 numbers congruent to 0 mod 5. So, solving for , we get: Since , this gives , and we have .
2022 AIME I Problems. This is a 15-question, 3-hour examination. All answers are integers ranging from to , inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers. No aids other than scratch paper, graph paper, ruler, compass, and protractor are permitted.
Art of Problem Solving's Richard Rusczyk solves 2012 AIME I #10.
Art of Problem Solving's Richard Rusczyk solves 2012 AIME I #14.
In general, the four "competition subjects" are Algebra, Geometry, Number Theory, and Combinatorics. Learn the basics first. I can't speak for all of the AoPS books, but the self-titled ones "Art of Problem Solving Volume 1&2" are very good. They cover all the topics at a very good level for the AIME. Experience: AMC 12 DHR, 2-time AIME score ...
Art of Problem Solving AoPS Online. Math texts, online classes, and more for students in grades 5-12. Visit AoPS Online ... Prepare for the AMC 10/12 and AIME competitions with problem solving challenges in all fields of mathematics. View course. Summer Language Arts. Grades 3-10.
2024 AIME I. 2024 AIME I problems and solutions. The test was held on Wednesday, January 31 - Thursday, February 1, 2024. The first link contains the full set of test problems. The second link contains the answer key. The rest contain each individual problem and its solution. Entire Test.
The center of the universe for students who love math.
2020 AIME I. 2020 AIME I problems and solutions. The test was held on Wednesday, March 11, 2020. The first link contains the full set of test problems. The rest contain each individual problem and its solution. Entire Test.
AIME is a Mathmatics Competition only available to the continental U.S. AIME stands for American Invitational Mathematics Examination. You have 3 hours to solve 15 AIME questions. These are short answer problems. It is much harder than MATHCOUNTS and AMC questions.
2020 AIME II Problems. This is a 15-question, 3-hour examination. All answers are integers ranging from to , inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers. No aids other than scratch paper, graph paper, ruler, compass, and protractor are permitted.
2024 AIME II Problems. This is a 15-question, 3-hour examination. All answers are integers ranging from to , inclusive. Your score will be the number of correct answers; i.e., there is neither partial credit nor a penalty for wrong answers. No aids other than scratch paper, graph paper, ruler, compass, and protractor are permitted.
Inspired by 2015 aime ii. Summer is a great time to explore cool problems and keep your skills sharp! Schedule a class today! Community High School Olympiads Inspired by 2015 aime ii.
2022 AIME II. 2022 AIME II problems and solutions. The test was held on Wednesday, February 16, 2022. The first link will contain the full set of test problems. The rest will contain each individual problem and its solution.
2021 AIME II. 2021 AIME II problems and solutions. The test was held on Thursday, March 18, 2021. The first link will contain the full set of test problems. The rest will contain each individual problem and its solution.
2018 AIME II. 2018 AIME II problems and solutions. The test was held on Wednesday, March 21, 2018. The first link contains the full set of test problems. The rest contain each individual problem and its solution. Entire Test.