Online Intensive AMC 10/12 Prep (for Rising 6th to 12th Graders) Summer Weekend (Discrete Math) Course Starting June 13

Summer is the golden time to develop students’ math skills and prepare for the American Math Competitions!

Purpose: To prepare for the AMC 10/12A — November 5, 2026 and AMC 10/12B — November 13, 2026.

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Course Outline
Class Handout Sample
Summer Session I (Number Theory)
7 Classes (Eastern Time: 6:00 – 9:00 pm), Total: 21 Hours
6/13, 6/14, 6/20, 6/21, 6/27, 6/28, 7/4 (Mock Exam/Review)

Summer  Session II (Combinatorics)
7 Classes (Eastern Time: 6:00 – 9:00 pm), Total: 21 Hours
7/5, 7/11, 7/12, 7/18, 7/19, 7/25, 7/26 (Mock Exam/Review)

Online Registration is now open! Click HERE to register and pay. (Two spots are available!)

Tuition (including all materials)
Session I (21 Hours)
New Student Via Zelle:  $945 (Phone: 240-300-4380)
Please include your child’s name and “AMC 10-12 Summer I” in the “Memo” box.
Via PayPal:  $980  Buy Now Button
Returning Student: Via Zelle:  $925 (Phone: 240-300-4380)
Please include your child’s name “AMC 10-12 Summer I” in the “Memo” box.
Via PayPal:  $960 Buy Now Button
Session II (21 Hours)
New Student: Via Zelle:  $945 (Phone: 240-300-4380)
Please include your child’s name “AMC 10-12 Summer II” in the “Memo” box.
Via PayPal:  $980  Buy Now Button
Returning Student: Via Zelle:  $925 (Phone: 240-300-4380)
Please include your child’s name “AMC 10-12 Summer II” in the “Memo” box.
Via PayPal:  $960  Buy Now Button
Sessions I & II (42 Hours)
New Student: Via Zelle:  $1,860 (Phone: 240-300-4380)
Please include your child’s name and “AMC 10-12 Summer I and II” in the “Memo” box.
Via PayPal:  $1,930 Buy Now Button
Returning Student: Via Zelle:  $1,840 (Phone: 240-300-4380)
Please include your child’s name and “AMC 10-12 Summer I and II” in the “Memo” box.
Via PayPal: $1,910  Buy Now Button
Click HERE to see payment and refund policy.
  • This is a live, interactive class, rather than a pre-recorded one. Instructors actively engage with students by asking questions, and students are encouraged to participate by asking their own questions during class or via email after class.
  • All lessons are recorded, allowing students to review and reinforce their learning through self-study. According to our policy, recorded class videos are strictly available to enrolled students and are not shared with parents.

Our AMC 10/12 Prep Number Theory and Combinatorics course last summer thoroughly covered every discrete math topic tested on the 2025 AMC 10 and AMC 12 exams. In fact, each discrete math problem on those exams closely resembled examples practiced in class or was essentially identical in structure. This strong alignment helped students build deep familiarity with contest-style problems and master the most effective problem-solving strategies and techniques—one of the key reasons our students consistently achieve top scores on the AMC 10 and AMC 12.

Each year, we update our course materials using the latest official AMC 10 and 12 and AIME problem sets. We carefully analyze the thought processes and problem-design patterns of 39 AMC 10 and 12 Test Creators, drawing insights from their published contest problems and mathematical research. This allows us to craft highly targeted, contest-style problems that train students with precision and confidence. We also handpick key past competition problems written by these same authors — many of which later appear on the AMC 10 and 12 exams. For our students, that means instant recognition, faster solutions, and often an extra 6–12 points on test day — giving them a real edge over the competition.

This remarable track record clearly shows how our course greatly helps students achieve exceptional results on the AMC 10 and 12.

Building on this success, our upcoming 2026 AMC 10/12 Spring Prep Course will continue to offer in-depth instruction, full topic coverage, and focused problem-solving practice. Students will strengthen their mathematical foundations while developing the insight, speed, and confidence needed to excel on the AMC.

Start preparing early—join us this spring and take the first step toward your best AMC 10/12 performance yet.

Registration is now open, and class sizes are limited to ensure personalized attention. Secure your spot today and get a strong head start on the 2026 AMC 10/12.

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Join Our Online Competitive Math Course!

Learn from experienced instructors anywhere via Google Meet. Students get face-to-face guidance, real-time answers to questions, and hands-on practice with challenging AMC 10/12 and introductory AIME problems.

Our course teaches proven strategies, shortcuts, and test-taking techniques that build confidence and mastery. With a systematic, in-depth approach and our Small-sized Class Instruction-focused Model, students strengthen their math foundation, sharpen problem-solving skills, and develop the motivation and perseverance needed to excel in contests.

Commit to the full course and gain maximum benefit from our targeted lessons and expert guidance.

  • We will help students gain a deeper understanding of the fundamental math concepts, build a solid foundation in math, and develop the critical thinking and problem-solving skills different from those in the school classes, motivation, and perseverance for reaching their full potential.
  • We will focus on efficient tricks, shortcuts, and strategies to solve competitive math problems, especially those hard problems on the AMC 10/12 and easy problems on the AIME, as well as test-taking tactics.
  • The emphasis of this class will be on systematic, comprehensive, and in-depth problem-solving in geometry, which is extremely common in competitive math, but is not included in school curriculum.

Instructor:

Contact Information:
Ivy League Education Center
Tel:  301-300-4380     or        240-406-3402
Email:  chiefmathtutor@gmail.co

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Who Should Take This Class:
This course is ideal for students in grades 6–12 who aspire to qualify for the AIME and advance in competitive mathematics.

Specific Goal:
Achieve a score of 120+ on the AMC 10 or 100+ on the AMC 12 to qualify for the AIME—the gateway to the USAMO and USAJMO.

AMC-General

The Path to the Top in U.S. Math Competitions
Only one sequence leads to the International Mathematical Olympiad (IMO)—the pinnacle of high school math:

AMC → AIME → USAMO

Start the journey. Rise through the ranks. Reach the top.

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Click here to read more!

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Course Materials

  • 14 comprehensive tutorial handouts (700+ pages) developed by Dr. Henry Wan, covering 14 structured lessons, each accompanied by a recorded video. All sessions are recorded, enabling students to review and reinforce their learning at their own pace.
  • 500 brand-new AMC 10/12–style problems sourced from the licensed AMC database
  • 4 free full-length mock exams (25 questions each, AMC 10/12 level), designed to simulate real contest conditions
    • Complete answer keys, fully worked solutions, detailed score reports, and in-depth performance analysis to track progress and identify areas for improvement

Weekly Homework

Students complete at least 5 hours per week of carefully designed practice, including:

  • All problems from past official AMC 10/12 contests (2000–present)
  • 500 new contest-style problems from the licensed AMC Database

Focus Areas

  • Advanced problem-solving techniques for the final 15 questions on the AMC 10 and AMC 12
  • Core strategies for efficiently solving the first 5 problems on the AIME
    • Many recent AMC 10/12 problems closely mirror or are directly adapted from foundational AIME problems.
  • High-difficulty ARML problem solving and competition strategies
    • An increasing number of AMC 10/12 problems are closely aligned with past ARML problem types, making this training especially valuable.

Solutions Manual

We provide a meticulously written Solutions Manual with step-by-step, detailed solutions for all homework problems, designed to strengthen logical reasoning and problem-solving skills. For guidance on using a solutions manual effectively, see How To Use A Solutions Manual Correctly?


Why This Works

AMC and AIME problems are often reused, recycled, or closely adapted from earlier contests and competitions such as AIME and ARML. Our materials reflect this reality, allowing students to recognize patterns quickly and solve problems with confidence on test day.


Prepare efficiently. Master strategies. Achieve top scores.

Further Reading:

Qualifying AIME
Class Outline:

  • Competitive Problem-Solving Techniques: Master efficient tricks, shortcuts, and test-taking tactics tailored to AMC-style questions.
  • Advanced Discrete Math: Dive deep into number theory, counting, and probability — the most prevalent topics in math competitions.
  • Speed and Time Management: Develop rapid problem-solving strategies and learn to allocate time effectively during exams.
  • Adaptive Instruction: We will adjust content and teaching methods to match students’ comprehension levels and pace of learning.

Summer Session I (Number Theory)

Class Date Topic
1 6/13, Sat Divisibility Tests, Prime Factorization, Greatest Primes, Common Divisors, Least Common Multiples, and the Euclidean Algorithm
2 6/14, Sun Counting Divisors, Odd Divisors, Even Divisors, Perfect Square Divisors, and Perfect Cubic Divisors
3 6/20, Sat The Number of Zeros at the End of  a Factorial
4 6/21, Sun Modular Arithmetic, Euler’s Totient Function, and Fermat’s Little Theorem
5 6/27, Sat Patterns in the Last Three Digits of a Large Power
6 6/28, Sun Residue Classes and Solving Linear Congruences
7 7/4, Sat Special Nonlinear Diophantine Equations

Summer Session II (Combinatorics)

Class Date Topic
1 7/5, Sun Advanced Counting with Permutations
2 7/11, Sat Advanced Counting with Combinations
3 7/12, Sun Advanced Principle of Inclusion and Exclusion
4 7/18, Sat Counting with Symmetries, Complementary Counting, and Casework Counting
5 7/19, Sun Advanced Stars and Bars Counting Method
6 7/25, Sat Advanced Constructive Counting
7 7/26, Sun Recursive Counting

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About the Program

Empowering students to master math fundamentals, think critically, and solve problems with confidence.

Our program is designed to help students develop a deep understanding of fundamental mathematical concepts, build a strong foundation, and cultivate the critical thinking and problem-solving skills essential for long-term academic and professional success.

We believe that mastering the fundamentals leads to lifelong confidence and achievement in mathematics—and beyond.

No matter a student’s starting point, we provide a supportive, engaging, and collaborative learning environment where curiosity thrives and understanding grows. Most importantly, we strive to make learning fun, enjoyable, and rewarding, because students learn best when they are motivated and excited about what they’re doing.

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Our Students

  • 2025 AMC 819 perfect scorers. 57 students got the DHR. 33 students got the HR.
  • 2024 AMC/AIME104 AIME qualifiers. 1 AMC 10 perfect scorer. 1 AMC 12 perfect scorer.
  • 2025 JMO/AMO8 USAMO Awardees and 7 USAJMO Awardees
    • 1 USAMO Gold Award, 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 MOP4 MOP winners.

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

Read more at: 2024 AMC 8 Results Just Announced — Ten Students Received Perfect Scores 

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.

Read more at: 2023 USAMO and USAJMO Awardees Announced — Congratulations to Eight USAMO Awardees and Seven USAJMO Awardees

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.

Read more at: 2023 AMC 8 Results Just Announced — Eight Students Received Perfect Scores

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 students qualified for the Math Olympiad Summer ProgramRead more at: Brendon J., Kyle S., and Isabella Z. Qualified for the 2022 Math Olympiad Summer Program

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

In 2022, we had 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

Read more at: 2022 AMC 8 Results Just Announced — Ten Students Received Perfect Scores

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 YRead 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.

Read more at: 2020 AMC 8 Results Just Announced — Five Students Received Perfect Scores

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! Read more at: 2020 AIME Qualifiers Announced — 82 Students Qualified for the AIME

In 2019, we had 71 students who obtained top scores on the AMC 8 contest!

  • 8 of our students were among the top 151 National Winners (Perfect Scorers), including 2 sixth graders.
  • 36 students received National Distinguished Honor Roll Certificates awarded to top 1% test takers.
  • 27 students received National Honor Roll Certificates awarded to top 5% test takers.
  • 71 out of our 73 students (97.3%) received National Awards for the AMC 8 from the Mathematical Association of America.

Read more at: 2019 AMC 8 Results Just Announced — Eight Students Received Perfect Scores

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

  • 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.

Read more at: 2019 USAMO and USAJMO Qualifiers Announced — Four Students Qualified for the USAMO and Four Students for the USAJMO

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 WVery 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!

  • 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

Read more at: 2018 AMC 8 Results Just Announced — Three Students Received Perfect Scores

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!

  • 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

Read more at: 2017 AMC 8 Results Just Announced — Seven Students Received Perfect Scores

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’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.

Great Benefits of Math Competitions

In an increasingly competitive college application pool, the process of mastering math skills through our courses and participating in the American Math Competitions will help students strengthen and diversify their extracurricular activities. These contests can motivate students’ interest and passion in math, and they can discover their talent through solving challenging problems different from those in the school classes. Many top colleges also request AMC scores as part of the college application process. Both MIT and Caltech have entry blanks on their official admission application forms for the applicant to enter their best AMC and AIME scores. Ivy League Colleges and Stanford ask for to the AMC and AIME scores in their Supplement to the Common Application Forms. Your children deserve the chance to list these scores on their applications! Good AMC scores will greatly enhance admission opportunities for students to elite colleges.

Read more at::

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Click HERE find out more about Math Competitions!sat-logo-3

Click HERE to find out more about SAT Prep!

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