Tag Archives: mathematics

How to Prepare for the AMC 12

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The AMC 12 is one of the most prestigious high school Math competitions in the USA and the world. It is a great way for younger students to gain valuable experience with math competitions and develop powerful problem solving skills.

The best way to prepare for the AMC 12 is to attend our AMC 10/12 training program. This is a well developed, comprehensive, systematic one-year program offering an entire course to cover all the topics that will be tested on the AMC 12. Students who participate in our training program will have free access to video recordings of every single class. Students who are not able to attend our training program can also purchase our course materials and recordings, including tutorial handouts, recorded videos, detailed solutions of homework problems, and mock tests, to learn all our course content. Starting each November just after the AMC 12 contests, we offer these sessions in sequence, as shown below.

Sessions Topics Course Outlines
Winter Session Arithmetic and Algebra Course Outline
Spring Session Geometry Course Outline
Summer Session Number Theory, and Counting and Probability Course Outline
Special Summer Session Precalculus Course Outline
Fall Session Comprehensive Problem Reasoning and Solving for AMC 10/12 Course Outline

It is very worth emphasizing that in each session, no old material is repeated. Each session contains new, unique material, as well as a brand new comprehensive art of problem solving. We strongly believe that learning should be a long-term process of acquiring new material, information, and knowledge.

The easiest way to prepare is to practice solving previous official AMC 12 problems. Click the links below to visit our Practice Page for:

More articles about math competitions:

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How to Prepare for the AIME

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The AIME is a prestigious math competition whose successful completion provides a path towards the International Mathematics Olympiad (IMO), the most premier international high school level problem solving contest. It provides the exceptional students who are invited to take it with yet another opportunity to challenge their mathematical abilities, and means towards furthering mathematical development and interest.

The best way to prepare for the AIME is to attend our AIME training program. This is a well developed, comprehensive, systematic one-year program offering an entire course to cover all the topics that will be tested on the AIME. The course is thoughtfully structured to delve into advanced mathematical concepts and hone problem-solving strategies and arts, with a particular emphasis on the kinds of challenges commonly encountered in questions 5-12 of the AIME, which are renowned for their moderate level of difficulty.

Students who participate in our training program will have free access to video recordings of every single class. Students who are not able to attend our training program can also purchase our course materials and recordings, including tutorial handouts, recorded videos, detailed solutions of homework problems, and mock tests, to learn all our course content. Starting each February just after the AIME contest, we offer these sessions in sequence, as shown below.

Sessions Topics Course Outlines
Spring Session Advanced Algebra Course Outline
Summer Session Combinatorics and Number Theory Course Outline
Fall Session Advanced Geometry Course Outline
Winter Session Comprehensive Problem Reasoning and Solving for AIME Course Outline

It must be pointed out that in each session, no old material is repeated. Each session contains new, unique material, as well as a brand new comprehensive art of problem solving. We strongly believe that learning should be a long-term process of acquiring new material, information, and knowledge.

The easiest way to prepare is to practice solving previous official AIME problems. Click the links below to visit our Practice Page for:

  • Archived Exams: A full archive of every year’s AIME I and II tests. Students can take a practice exam that includes the real questions, timing, and scoring of each exam.
  • AIME Mock Tests: Practice exams are also available for purchase. Our team developed 20 different sets of AIME mock tests for students to practice with. They are intended to mimic the actual AIME exam with 15 brand new questions all calibrated to be at the same style and difficulty level as the real AIME. In particular, they are peer-reviewed by at least two experts in math education outside our center. These simulated tests are extremely helpful for assessing students’ level of preparation for the AIME. Our team also devised detailed solutions to all 15 problems on our 20 sets of AIME mock tests.  All these mock tests and their detailed solutions are a golden fountain of knowledge for our students, who are the ultimate beneficiaries. Surprisingly, some problems in our previous mock tests appeared in the recent official AIME tests.

More articles about math competitions:

Ivy League Education Center | Education is not the filling of a pail, but  the lighting of a fire. Genius is 1% inspiration and 99% perspiration!

There are many math competitions in the United States. Of those, only

AMC → AIME → USAMO sequence

would take you to the IMO (International Math Olympiad), the highest level math competition for high school students in the world!

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Featured Math Instructors

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20 Sets of AIME Mock Test with Detailed Solutions

Click HERE to see a typical AIME Mock Test Sample.

Click HERE to see the detailed solution of the AIME Mock Test Sample.

About the AIME Mock Test Series

We have collected every problem from all past AIME exams (1983–present) to build a comprehensive “big data” system. Using artificial intelligence (AI), machine learning, and deep learning, we created an advanced math problem similarity and prediction tool.

Through this innovative system, we carefully analyzed the types, styles, and frequency patterns of AIME problems — effectively decoding the contest’s structure and logic.

Based on this “decoded” system, we developed 20 original AIME Mock Tests, each containing 15 brand-new problems. Every question is carefully calibrated for difficulty and style to match the official AIME exam.

These simulated exams are invaluable for assessing a student’s readiness for the AIME and building the mastery needed for top scores. Each mock test also comes with detailed step-by-step solutions explaining every problem clearly and rigorously.

Together, these 20 tests and solutions form a gold-standard resource for AIME preparation — a proven tool that has helped countless students strengthen their problem-solving skills and gain a competitive edge.


🌟 Quality You Can Trust

At Ivy League Education Center, quality is never an afterthought — it’s our foundation.

Every year, we meticulously analyze the thought processes and problem-design patterns of  10 AIME Test Creators, drawing insights from their published contest problems and mathematical research. Using this deep understanding — combined with the most recent official AIME questions and trends — we continuously refine our mock examinations so that they completely reflect the evolving style, structure, and rigor of the official contests.

Each new edition is peer-reviewed by two independent experts, ensuring every problem and solution meets the highest standards of accuracy, clarity, and educational value.

Our mock tests faithfully mirror the real MAA/AMC exams, giving students a realistic, reliable, and predictive measure of their readiness for competition.

Parents and students can have full confidence that they are preparing with the most authentic, data-driven, and expertly reviewed AMC resources available anywhere.

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Why Take Mock Tests?

Taking mock tests is one of the most effective ways to maximize learning and solidify mastery of the core concepts, strategies, and techniques required to excel on the AIME — and beyond.

“Practice isn’t just preparation — it’s prediction.”
Regular testing helps students internalize methods, identify weak points, and build the confidence needed for success in national and international math contests.

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Materials Price Sales Discounts
5 AIME Mock Tests plus Answer Keys $130 $130 0
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10 AIME Mock Tests plus Answer Keys $260 $230 $30
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15 AIME Mock Tests plus Answer Keys $390 $330 $60
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20 AIME Mock Tests plus Answer Keys $520 $430 $90
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5 AIME Mock Tests with Detailed Solutions $260 $230 $30
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10 AIME Mock Tests with Detailed Solutions $520 $430 $90
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15 AIME Mock Tests with Detailed Solutions $780 $630 $150
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20 AIME Mock Tests with Detailed Solutions $1040 $830 $210
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🚚Free Shipping (U.S. Orders)

We offer free USPS Priority Mail shipping for all domestic orders.
Standard international shipping rates apply for overseas purchases.

All items are shipped to a verified address that appears on the PayPal transaction, and most U.S. orders arrive within 2–7 business days after successful payment processing.

Refund and Return Policies

Please review your order carefully before purchase. Refunds and returns are accepted only when eligible items are returned using the proper method.

If your return is shipped after the designated timeframes, we regret that we cannot issue a refund.

General Return Policy

  • Items must be returned within 30 days of purchase in their original condition.
  • Damaged, marked, or incomplete materials cannot be refunded.
  • Refunds are processed within 5–10 business days after receipt.

Special Policy for Mock Test Papers

  • If mock test papers have been used (even partially), the purchase is not refundable.
  • Due to copyright restrictions, all mock tests are provided in hard copy by mail via USPS.
  • In rare exceptions, we may provide five or more electronic (PDF) mock tests via email to the verified email address associated with the PayPal transaction.
  • Payments for electronic versions are non-refundable.

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Customer Service

📧 Email: customer-service@ivyleaguecenter.org
📞 Phone: 240-406-3402 (Monday–Friday, 9 a.m.–5 p.m.)

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Click HERE find out more about Math Competitions!

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