amc10 | Ivy League Education Center

Summer is the golden time to develop students’ math skills and prepare for the American Invitational Mathematics Examination!

How to Prepare for the AIME
2025 JMO/AMO: 8 USAMO Awardees and 7 USAJMO Awardees
- 1 USAMO Gold Award, 1 USAMO Silver Award, 4 USAMO Bronze Awards, and 2 USAMO Honorable Mention Awards.
- 1 USAJMO Top Winner, 1 USAJMO Winner, and 5 USAJMO Honorable Mention Awards.
2025 MOP: 4 MOP winners.

Summer Session I (Combinatorics)
5 Classes (EASTERN Time: 7:00 – 9:30 pm), Total: 12.5 Hours
7/14, 7/16, 7/18, 7/21, 7/23
Summer Session II (Number Theory)
5 Classes (EASTERN Time: 7:00 – 9:30 pm), Total: 12.5 Hours
7/25, 7/28, 7/30, 8/1, 8/4

Course Outline
Class Handout Sample

Online Registration is now open! Click HERE to register and pay

Tuition (including all materials)
Session I (12.5 Hours)
New Student:	Via Zelle: $690 (Phone: 240-300-4380) Please include your child’s name and “AIME Summer I” in the “Memo” box.
	Via PayPal: $715
Returning Student:	Via Zelle: $680 (Phone: 240-300-4380) Please include your child’s name “AIME Summer I” in the “Memo” box.
	Via PayPal: $705
Session II (12.5 Hours)
New Student:	Via Zelle: $690 (Phone: 240-300-4380) Please include your child’s name “AIME Summer II” in the “Memo” box.
	Via PayPal: $715
Returning Student:	Via Zelle: $680 (Phone: 240-300-4380) Please include your child’s name “AIME Summer II” in the “Memo” box.
	Via PayPal: $705
Sessions I & II (25 Hours)
New Student:	Via Zelle: $1,365 (Phone: 240-300-4380) Please include your child’s name and “AIME Summer I and II” in the “Memo” box.
	Via PayPal: $1,415
Returning Student:	Via Zelle: $1,345 (Phone: 240-300-4380) Please include your child’s name and “AIME Summer I and II” in the “Memo” box.
	Via PayPal: $1,395
Click HERE to see payment and refund policy.

This is a live class, interactive class—not a pre-recorded session. Instructors actively engage with students by asking questions, and students are encouraged to participate, ask questions during class, or reach out to instructors via email afterward.
As a valuable bonus, all lessons are recorded and made available for students to review at their own pace, supporting continued learning and self-study.

Committing to the entire course ensures students gain the full benefit of all the mathematical concepts, methods, strategies, tactics, skills, and techniques covered.

Proven Success: 2024 AIME Prep Summer Course (Discrete Math)
Our 2024 AIME Prep Summer Course in Discrete Mathematics—focusing on Combinatorics and Number Theory—offered in-depth coverage of all major topics that appeared on the 2025 AIME I and II exams. Remarkably, every Combinatorics and Number Theory problem on those exams either directly mirrored or closely resembled examples taught in our course.

As a result, our students were well-prepared, having developed familiarity with key problem types and mastery of the powerful strategies and techniques required to solve them efficiently. This demonstrates how our course provides students with the targeted preparation needed to achieve outstanding results on the AIME.

We update our course handouts annually to reflect the most recent AIME I and II problem sets. Using deep learning techniques, we analyze the thought processes and problem-design patterns of 10 AIME Test Creators, drawing insights from their published contest problems and mathematical research. These insights directly inform the creation of targeted, contest-style problems that sharpen our students’ problem-solving skills.

To reinforce key strategies, we also curate significant past competition problems authored by these test writers. Notably, several of these problems — or their variations — have appeared on actual AIME contests. As a result, our students are often able to recognize familiar structures and efficiently secure an additional 1 to 2 points.

Our goal is to equip students with a deep understanding of the essential concepts, methods, and strategies required for success in competitive mathematics. This preparation is not only aimed at achieving top scores on the 2025 AMC 10/12 and 2026 AIME, but also at cultivating a mindset for creative, analytical thinking.

Beyond test preparation, we challenge students with unconventional and thought-provoking mathematical problems that encourage meaningful generalization. This leads to the development of high-quality research projects, which we support through refinement and submission to prestigious mathematics journals—empowering students to achieve academic distinction beyond contests.

You are warmly invited to enroll in our online course, which provides a quick and effective way for students to interact with experienced instructors from anywhere.

We use Google Meet for live video sessions, allowing students to engage directly with teachers, ask questions in real time, and receive personalized guidance. Our instructors share powerful strategies, shortcuts, and insights to help students achieve outstanding results on their math contests.

Students also have the opportunity to solve problems under the supervision of our expert teachers and coaches, ensuring they receive the support they need every step of the way.

Click HERE for detailed instructions on how to join.

Instructors:

Contact Information:
Ivy League Education Center
Tel: 240-300-4380
Email: chiefmathtutor@gmail.com

aime2
This program is thoughtfully designed for students with busy daytime schedules due to summer internships or other commitments. These students often have high expectations for their performance on the American Invitational Mathematics Examination (AIME). As they strengthen their résumés through meaningful summer experiences, refining their AIME test-taking skills becomes even more essential and strategically critical to their success.

AMC-General

The AIME plays a key role in the pathway to the United States of America Mathematical Olympiad (USAMO). While there are many math competitions in the United States, only the sequence

AMC → AIME → USAMO sequence

leads to the International Mathematical Olympiad (IMO) — the most prestigious mathematics competition in the world for high school students.

Purpose: To prepare for AIME I (February 5, 2026) and AIME II (February 11, 2026)

Improve AIME scores by strengthening understanding of fundamental theorems and key concepts
Develop and foster creative problem-solving strategies
Help students qualify for the USA(J)MO!

For Whom?
This AIME course is designed for students who have scored 102 or higher on the AMC 10, 84 or higher on the AMC 12, or have correctly solved approximately 4 or more problems on a previous AIME.

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What?

The class will primarily focus on building a strong foundation in the two key areas of Combinatorics and Number Theory. The goal is to develop the mental agility needed to confidently approach and solve challenging problems, aiming to help students reach or exceed the qualification level for the USAMO and USAJMO — typically around 10 solved problems.

How?
We emphasize mastering fundamental concepts and essential knowledge first. Then, we gradually develop the problem-solving skills and intuition necessary to identify and pursue effective strategies for tackling complex problems.

Class Outline:

This course focuses on effective strategies, clever shortcuts, and problem-solving techniques tailored to AIME problems, along with practical test-taking tactics to maximize performance.

Session I (Combinatorics)

Class	Date	Topic
1	7/14, Mon	Advanced Counting Methods
2	7/16, Wed	Generating Functions
3	7/18, Fri	Combinatorial Identities
4	7/21, Mon	Recursive Counting
5	7/23, Wed	Advanced Topics in Probability

Session II (Number Theory)

Class	Date	Topic
6	7/25, Fri	Divisibility Theory: Euclidean and Division Algorithm, Bezout’s Identity, and Fundamental Theorem of Arithmetic
7	7/28, Mon	Modular Arithmetic: Chinese Remainder Theorem, Euler’s Totient Theorem, and Fermat’s Little Theorem
8	7/30, Wed	Linear Congruences, Frobenius Coin Problem, and Chinese Remainder Theorem
9	8/1, Fri	Fermat’s Little Theorem, Wilson’s Theorem, and Euler’s Totient Theorem
10	8/4, Mon	Lifting the Exponent and Primitive Roots

Benefits:

10 tutorial handouts (>500 pages) developed by Dr. Henry Wan and 500 new problems at the AIME level from the licensed AMC Database. Click HERE to see a typical class handout sample we developed.
2 FREE mock tests that are intended to mimic an actual math competition exam, each of which has 15 questions similar to the AIME level taken from the licensed AMC Database. These simulated tests help students assess their level of preparation for the Math Competitions. After attempting the test, students get answers, explanations, and a detailed score report and wise performance summary.

Homework:

At least 2 hour of homework per class. Students are expected to complete all of the previous AIME contests in the past 10 years, which is over 60 hours of practice. Our instructors are open to questions on any previous AIMEs.

A Data-Driven Approach to AIME Mastery
Our “big data” system is built from the complete set of problems from all 69 past AIME contests (1983–2025). By applying data mining and predictive analysis, we’ve uncovered recurring patterns, question types, and frequency trends—essentially “decoding” the AIME.

In this course, we’ll share these insights with students, revealing the “secret code” behind the exam and equipping them with the tools to confidently understand and master it. For nearly every recent AIME problem, we can trace its origins to earlier contests.

That’s why the most effective way to prepare for the AIME is to deeply engage with past problems—recognizing structures, building intuition, and sharpening strategy through targeted practice.

Our Students

In 2024, we had 90 students who obtained top scores on the AMC 8 contest!

10 of our students were among the top 116 worldwide winners (Perfect Scorers).
54 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 697 worldwide winners.
29 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,683 worldwide winners.
93 out of our 96 students (96.9%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2023, we had 99 students who qualified for the AIME either through the AMC 10A/12A or the AMC 10B/12B. One of our students was among the 11 Perfect Scorers worldwide on the AMC 10B: Ali R. and one of our students was among the 13 Perfect Scorers worldwide on the AMC 12B: Yaoyun X. Read more at: 99 Students Qualified for the 2024 AIME and 2 Students Received Perfect Scores on the 2023 AMC 10/12

In 2023, we had 8 students who won USAMO awards and 7 students who won USAJMO awards.

1 USAMO Gold Award, 1 USAMO Silver Award, 4 USAMO Bronze Awards, and 2 USAMO Honorable Mention Awards.
1 USAJMO Top Winner, 1 USAJMO Winner, and 5 USAJMO Honorable Mention Awards.

In 2023, we had 90 students who obtained top scores on the AMC 8 contest!

8 of our students were among the top 81 worldwide winners (Perfect Scorers).
51 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 697 worldwide winners.
31 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,571 worldwide winners.
90 out of our 93 students (96.8%) received National Awards for the AMC 8 from the Mathematical Association of America.

In 2022, we had 96 students who qualified for the AIME either through the AMC 10A/12A or the AMC 10B/12B. One of our students was among the 6 Perfect Scorers worldwide on the AMC 10A: Justin W. and one of our students was among the 3 Perfect Scorers worldwide on the AMC 12B: Ming Y. Read more at: 96 Students Qualified for the 2023 AIME and 2 Students Received Perfect Scores on the 2023 Fall AMC 10/12

In 2022, we had 3 students qualified for the Math Olympiad Summer Program. Read more at: Brendon J., Kyle S., and Isabella Z. Qualified for the 2022 Math Olympiad Summer Program

In 2022, we had 1 student Competes in International Girls’ Math Olympiad. Read more at: sabella Z. Competes in International Girls’ Math Olympiad

In 2022, we had 7 students qualified for the USAMO and 7 students for the USAJMO. Read more at: 2022 USAMO and USAJMO Qualifiers Announced — Seven Students Qualified for the USAMO and Seven Students for the USAJMO.

In 2022, we had 88 students who obtained top scores on the AMC 8 contest!

10 of our students were among the top 131 worldwide winners (Perfect Scorers), as shown in Table 1. Click Here see a full list of the 131 worldwide winners.
52 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers. They were among the 1,010 worldwide winners. Click HERE see a full list.
26 students received National Honor Roll Certificates awarded to top 5% test takers. They were among the 2,449 worldwide winners. Click HERE see a full list.
88 out of our 91 students (96.7%)received National Awards for the AMC 8 from the Mathematical Association of America

In Fall 2021, we had 93 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 5 Perfect Scorers worldwide on the AMC 10A: Nina L. and one of our students was among the 2 Perfect Scorers worldwide on the AMC 10B: Ming Y. Read more at: 93 Students Qualified for the 2021 Fall AIME and 2 Students Received Perfect Scores on the 2021 Fall AMC 10/12

In 2021, we had 6 students qualified for the USAMO and 6 students for the USAJMO. Read more at: 2021 USAMO and USAJMO Qualifiers Announced — Six Students Qualified for the USAMO and Six Students for the USAJMO

In Spring 2021, we had 91 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. Two of our students was among the 17 Perfect Scorers worldwide on the AMC 12A: Evan L. and Suraj O. and one of our students was among the 27 Perfect Scorers worldwide on the AMC 10A: Xinchen L. Read more at: 91 Students Qualified for the 2021 AIME and 3 Students Received Perfect Scores on the 2021 AMC 10/12

In 2021, we had 8 students who got into the MathCounts state-level top 10. Yunyi L. won 9th Place in the 2021 MathCounts National Competition!

In 2020, we had 79 students who obtained top scores on the AMC 8 contest!

5 of our students were among the top 57 worldwide winners (Perfect Scorers).
49 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
25 students received National Honor Roll Certificates awarded to top 5% test takers.
79 out of our 81 students (97.5%) received National Awards for the AMC 8 from the Mathematical Association of America.

In 2020, we had 82 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 11 Perfect Scorers worldwide on the AMC 12A: Yiyang X, and one of our students was among the 13 Perfect Scorers worldwide on the AMC 10A: Jason W.. 43 middle schoolers and 9 elementary schoolers qualified for the AIME!

In 2019, we had 4 Students Qualified for the USAMO and 4 Students for the USAJMO.

Of the 280 USA Math Olympiad national qualifiers, 4 are our students: Luke C., Zipeng L., Sameer P., and Peter P.
Of the 235 USA Junior Math Olympiad national qualifiers, 4 are our students: Michael H., Noah W., Holden W., and Isabella Z.

In 2019, we had 76 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 22 Perfect Scorers worldwide on the AMC 10A: Noah W.and one of our students were among the 10 Perfect Scorers worldwide on the AMC 12B: Kenneth W. Very impressively, 32 middle schoolers and 7 elementary schoolers qualified for the AIME!

In 2018, we had 64 students who obtained top scores on the AMC 8 contest!

3 of our students were among the top 44 National Winners (Perfect Scorers): Eric B., Kevin Y., and Isabella Z.
40 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
21 students received National Honor Roll Certificates awarded to top 5% test takers.
64 out of our 66 students (96.5%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2018, we had 73 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. Two of our students were among the 35 Perfect Scorers worldwide on the AMC 10A: Austen M. and Jason W. and two of our students were among the 21 Perfect Scorers worldwide on the AMC 12B: Kaan D. and Edward W. Remarkably, 11 middle schoolers and 2 elementary schoolers qualified for the AIME!

In 2017, we had 63 students who earned top scores on the AMC 8 contest!

7 of our students were among the top 75 National Winners (Perfect Scorers).
34 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
22 students received National Honor Roll Certificates awarded to top 5% test takers.
63 out of our 65 students (97%) received National Awards for the AMC 8 from the Mathematical Association of America

In 2017, we had 61 students who are qualified to take the AIME either through the AMC 10A/12A or AMC 10B/12B. One of our students was among the 28 Perfect Scorers worldwide on the AMC 10A: Austen M., and two of our students were among the 65 Perfect Scorers worldwide on the AMC 10B: Ashwin A. and Brad Z. Remarkably, eight middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Very impressively, Bryan Z., a 6th grader, gained a score of 132 out of 150 on the AMC 10B.Read more at: 2017 AIME Qualifiers Announced — 61 Students Qualified for the AIME

In 2016, we had 36 students who are qualified to take AIME either through AMC 10A/12A or AMC 10B/12B. One of our students was among the 23 Perfect Scorers worldwide on the AMC 10A: Joel (Junyao) T. Particularly, seven middle schoolers and one elementary schooler qualified for the AIME, which is geared toward high school students. Pravalika P., a 6th grader, got a 115.5 out of 150 on the AMC10B, which is very impressive. Read more at: 2016 AIME Qualifiers Announced — 36 Students Qualified for AIME

2011 – 2015: In total, 37 students scored above 120 on the American Mathematics Contest 10 (AMC 10) and qualified for the American Invitational Mathematics Examination (AIME); 26 students scored above 100 on the American Mathematics Contest 12 (AMC 12) and qualified for the American Invitational Mathematics Examination (AIME); 3 students qualified for the USA Mathematical Olympiad (USAMO), the highest level of math competition for high school students in the USA

2011 – 2015: In total, 23 students achieved perfect scores of 28 on the AMC 8

Read more at: Notable Achievements of Our Students

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Our Uniqueness

We have a long history of close collaboration with the MAA‘s American Mathematics Competitions (AMC), which are dedicated to strengthening the mathematical capabilities of our nation’s youth, and are the first of a series of competitions in high school mathematics that determine the United States team for the International Mathematical Olympiad (IMO).

We are only one in the Washington DC metropolitan area to offer elementary, middle, and high-school level competition math courses. Our students have received top scores and awards at prestigious national and math competitions.

We have extracted 5,000 brand new problems at the level of the AIME from the licensed AMC Database. In addition, we have also collected all AMC8/10/12 and AIME Official Solutions as shown in the article “American Mathematics Competitions (AMC) Materials.” All these materials have formed a golden resource for our students, who are the ultimate beneficiaries.

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