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As the AIME examination enters its most critical final preparation phase, students who have advanced from AMC 10/12 are fully focused on this prestigious mathematics competition—often regarded as a key stepping stone toward Ivy League and top-tier STEM programs.

As an advanced stage of the AMC competition pathway and a required qualifier for USA(J)MO, every single point on the AIME carries significant academic weight. With a global average score of only 3–5 points, achieving 8 or above places students in the global top 10%, making AIME performance a core reference for Ivy League admissions and elite mathematics summer programs.

Final Sprint: Key Preparation Focus and Exam Strategies

Core Topics to Master

The AIME assesses knowledge across arithmetic, algebra, combinatorics, geometry, number theory, and probability, with calculus strictly prohibited. Compared with AMC competitions, AIME significantly increases both the breadth and depth of tested concepts.

• Algebra
  Emphasis on polynomial theory (Vieta’s formulas, factorization techniques), complex numbers (geometric interpretation, roots of unity), logarithms, trigonometric functions, sequences, and inequalities.

• Geometry
  Advanced geometric theorems such as Menelaus’ Theorem, Ceva’s Theorem, Stewart’s Theorem, triangle centers, power of a point, and applications of coordinate geometry.

• Number Theory
  Intensive focus on congruences, the Chinese Remainder Theorem, divisibility theory, and prime-related results including applications of Fermat’s Little Theorem and Euler’s Theorem.

• Combinatorics and Probability
  Training in the Principle of Inclusion–Exclusion, recurrence relations, foundational graph theory, and probability and expected value calculations, with emphasis on structural analysis.

Difficulty Progression and Time Management

AIME problems increase in difficulty sequentially:

• Problems 1–5: Moderate difficulty

• Problems 6–10: Significantly more challenging

• Problems 11–15: Highly demanding, designed to distinguish top performers

With only 12 minutes per problem on average, time pressure is substantial.

Recommended time allocation:

• Complete Problems 1–5 within 30 minutes to secure foundational points

• Allocate 60 minutes to Problems 6–10, the primary scoring zone

• Attempt Problems 11–15 selectively based on individual strengths

• Reserve 15 minutes at the end for answer verification and form completion

Preparation goals:

• Students aiming to barely qualify should prioritize accuracy in the first 10 problems, targeting 7+ points

• High-scoring AMC qualifiers should expand depth and breadth, focusing strategically on the final five high-difficulty problems

In-Exam Techniques and Mental Readiness

• Problem Reading
  AIME problems are concise but information-dense. Identify the mathematical domain and potential solution paths carefully. Use the bilingual (Chinese–English) exam paper strategically to resolve ambiguities.

• Computation
  Maintain clear and organized scratch work. AIME problems often involve heavy computation, requiring both patience and calculation efficiency. Common numerical results should be fully memorized.

• Answer Format
  All answers must be integers between 0 and 999, with no units or extra symbols.

• Mindset
  When encountering difficult problems, adjust strategy promptly to avoid excessive time loss. Trust the preparation process and remain composed.

After the Exam: Score Release and Cutoff Insights

Score Release Channels

AIME scores are typically released approximately four weeks after the exam. Chinese students may check results via:

• China Organizing Committee
  Students receive an email notification and can log into the official score system at
  https://math-table.com/
  (Select Personal Center → Scores, then enter the registered phone number and verification code.)

• ASDAN Organizing Committee

Historical Score Benchmarks and Competitiveness

• Maximum Score: 15

• Historical Average: ~5

Score interpretations:

• 7+ points: Strong performance, competitive for U.S. Top 30 universities

• Around 9 points: Key credential for elite math summer programs such as ROSS, SUMaC, and PROMYS

• 10+ points: Top 7.2% globally, highly advantageous for Top 20 university applications

• 12+ points: Significantly increases chances of qualifying for USAMO (though Chinese students cannot participate due to nationality restrictions), representing exceptional mathematical ability

Qualification score formulas:

• USAMO Index = AMC 12 Score + 10 × AIME Score

• USAJMO Index = AMC 10 Score + 10 × AIME Score

In recent years, competition has intensified as international students are limited to AIME II, driving cutoff scores higher. For example, the 2025 AIME II USAMO cutoff (AMC 12B) reached 251.5, the highest on record. This makes a strong AIME score increasingly critical, especially for students with lower AMC results.

Post-AIME Planning: Next Steps by Score Range

Regardless of outcome, AIME is a valuable academic experience. Students should plan strategically based on performance:

• 5 points or below
  Consider competitions emphasizing foundational skills and mathematical reasoning, such as the Euclid Mathematics Contest, to strengthen algebra and geometry.

• 5–8 points
  With solid fundamentals, students may pursue applied mathematics challenges like HiMCM, developing mathematical modeling and academic writing skills.

• 9 points and above
  Strongly recommended to apply for elite mathematics summer programs such as ROSS, PROMYS, and SUMaC, which offer exceptional academic value and access to top-tier mentors.

• 10 points and above
  Representing the top 7.2% worldwide, students at this level should also consider advanced competitions or in-depth research projects to build a strong foundation for top STEM university applications.

Choosing between AMC 10 and AMC 12 is a critical decision for students aiming to qualify for AIME and strengthen their academic profile for competitive high school and university admissions. This article provides a comprehensive comparison of AMC 10 and AMC 12, along with grade-based recommendations and a structured long-term preparation strategy.

I. AMC 10 / AMC 12 Training Programs (Selected Courses)

AMC 10 Full Program
Class Size: 3–8 students
Schedule: February 7 – August 22, 2026 (Every Saturday, 10:00–12:00)
Instructor: Mr. Wang

AMC 10 Full Program
Class Size: 3–8 students
Schedule: February 22 – September 13, 2026 (Every Sunday, 10:10–12:10)
Instructor: Mr. Wang

AMC 12 Full English Program
Class Size: 3–8 students
Schedule: February 22 – September 31, 2026 (Every Sunday, 8:00–10:00)
Instructor: Mr. Wang

II. Overview of the AMC Competition System

• IMO (International Mathematical Olympiad)
  The highest-level international mathematics competition for high school students, held annually and hosted by participating countries on a rotating basis.

• USA(J)MO (United States of America Mathematical Olympiad / Junior Mathematical Olympiad)
  Top performers advance to the Mathematical Olympiad Summer Program (MOSP), from which the U.S. IMO team is selected.

• AIME (American Invitational Mathematics Examination)
  An invitation-only exam with a higher difficulty level than AMC 10/12. High scorers may qualify for USAJMO or USAMO.

• AMC 10 / AMC 12 (American Mathematics Competitions)
  National-level math competitions for middle and high school students. Strong performance can lead to AIME qualification.

• AMC 8
  The introductory level of the AMC series, designed for younger students.

III. AMC 10 vs AMC 12: Key Comparison

Similarities

• Exam Period: November each year (A and B versions held one week apart)

• Exam Language: Bilingual (English and Chinese in mainland China)

• Format: 25 multiple-choice questions, 75 minutes

• Scoring Rules:

  • Correct answer: +6 points

  • Incorrect answer: 0 points

  • Unanswered: +1.5 points

Differences

Eligibility

• AMC 10: Grade 10 and below, under 17.5 years old on exam day

• AMC 12: Grade 12 and below, under 19.5 years old on exam day

AIME Qualification Rate

• AMC 10: Approximately top 2.5%

• AMC 12: Approximately top 5%

Difficulty Level

• AMC 10: Comparable to junior high-level mathematics competitions, with an emphasis on foundational concepts

• AMC 12: Comparable to senior high-level competitions, requiring stronger abstraction and mathematical reasoning

Content Coverage

• AMC 10 Topics:
  Integers, fractions, decimals, basic geometry, area and volume, ratios, percentages, elementary number theory, probability, statistics, and logical reasoning. No trigonometry or calculus is required.

• Additional AMC 12 Topics:
  Trigonometric identities, advanced sequences, binomial theorem, logarithms, and complex numbers (not covered in AMC 10).

Key Conclusions

• AMC 12 is more challenging, but the AIME qualification threshold is lower.

• AMC 12 results are generally more competitive and carry greater weight in elite university applications.

IV. AMC 10 / AMC 12 Selection Recommendations by Grade

• Grades 5–7 (without advanced coursework):
  AMC 10 is recommended due to limited exposure to required topics.

• Grades 8–10:

  • Goal: AIME qualification only → AMC 10

  • Goal: High score + AIME → AMC 12

  • Goal: Advanced competitions, summer programs, Ivy League or Oxbridge → AMC 12 (if foundation is strong)

• Grades 11–12:
  AMC 12 is the only option and should be approached with full commitment to achieving a high score.

V. Matching Competitions with Academic Goals

• AMC 10:
  Suitable for international high schools, strong foundation programs, and early demonstration of mathematical talent.

• AMC 12:
  Strongly aligned with elite A-Level schools, advanced mathematics tracks, MIT, Cambridge, and other top-tier institutions.

VI. Dual-Registration Strategy: AMC 10 + AMC 12

Because the A and B exams are held approximately one week apart, students may register for multiple versions to increase their chances of success.

Recommended combinations include:

• AMC 10A + AMC 10B

• AMC 10A + AMC 12B

• AMC 12A + AMC 12B

• AMC 12A + AMC 10B

This strategy allows students to balance risk and opportunity.

VII. Long-Term AMC 10 / AMC 12 Preparation Strategy

Stage 1: Foundation Building (Now – June)

Focus on the four core modules:

• Algebra (approximately 30%)

• Geometry (approximately 25%)

• Number Theory and Combinatorics (approximately 45%)

Allocate time based on individual strengths and weaknesses.

Stage 2: Past Paper Training (July – September)

Adopt a three-round practice method:

1. Full-length timed mock exams

2. Error analysis and topic-based review

3. Targeted practice on Questions 21–25

Stage 3: Final Review and Sprint (October – Exam Day)

• Maintain a structured error log

• Conduct weekly full mock exams

• For top 1% candidates, incorporate AIME past papers to enhance advanced problem-solving skills

VIII. AMC Training Program Overview

• Course Types: Foundation, Full Program, Intensive

• Class Size: 3–8 students or one-on-one

• Language Options: Chinese, English, or Full English

• Format: Online instruction with replay access

Fast-Track Program

• Tuition: RMB 8,800 (limited-time offer)

• Includes:

  • 20 hours of structured concept review

  • 20 hours of intensive problem-solving sessions

  • Exam registration support

IX. Faculty Team (Selected Members)

• Dr. Zhang – PhD in Pure Mathematics (University of Rochester), AMC-certified coach

• Mr. Liu – MSc in Electrical and Computer Engineering (University of British Columbia)

• Dr. Zhuang – PhD in Mathematical Logic, former U.S. university lecturer

X. Self-Developed Materials and Student Achievements

Proprietary AMC Textbooks

Designed by the teaching team to systematically organize AMC 10, AMC 12, and AIME content into modular, exam-focused units.

Selected Results

• Hundreds of AMC 10 students qualified for AIME

• Multiple global Top 1% scorers and perfect scores

• AMC 12 students reached USA(J)MO qualification thresholds

For students aiming to achieve strong AMC10/12 scores and secure a solid qualification for AIME, the most critical first step is choosing the right time and strategy to begin preparation.

To help students assess their readiness and experience AMC-style problems, a limited-time AMC10/12 experience class for the 2026 season is now available.

AMC10/12 Experience Class (Limited-Time Offer)

Special Offer: RMB 9.9 for the 2026 season

The Key to AMC10/12 Success: Choosing the Right Starting Point

AMC10/12 exams are held annually in November. The recommended preparation cycle ranges from 3 to 12 months, depending on the student’s grade and background.

Lower grades benefit from long-term foundational development, while higher grades should focus on short-term, precision-driven improvement—avoiding the common pitfalls of starting too early without efficiency or too late under pressure.

The Ideal Preparation Timeline by Grade

Grades 6–8: Foundation Building Stage

Students at this stage should begin exposure to core AMC10 concepts without focusing on intensive problem drilling or scores. The emphasis should be on developing logical reasoning, algebra–geometry connections, and smooth transitions between middle school and high school mathematics.

This stage significantly reduces future preparation pressure.

Grade 9: The Golden Starting Year

Grade 9 is widely regarded as the optimal year to begin formal AMC10 preparation. With sufficient time available, students can systematically master all major topics, aim for high scores, and achieve a stable AIME qualification.

Grade 10: Transition Stage

Students should prioritize achieving strong results in AMC10 while gradually bridging into AMC12 foundational topics. This dual-track strategy allows students to prepare for both competitions and strengthen their academic profile for U.S. college applications.

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Grades 11–12: Short-Term Intensive Stage

At this stage, students should avoid overly difficult or low-frequency problems and focus instead on high-frequency core topics. The primary goal is to improve accuracy on foundational and intermediate-level problems and reliably surpass the AIME cutoff score in a limited timeframe.

A Universal AMC10/12 Preparation Framework

Regardless of starting grade or preparation length, effective AMC preparation follows a consistent three-step structure:

1. Solidify the Fundamentals

Students must fully master the foundational topics across algebra, geometry, number theory, and combinatorics, ensuring 100% accuracy on Problems 1–10, which are typically straightforward but decisive.

2. Targeted Problem-Type Mastery

Rather than blindly practicing full exams, students should systematically work through AMC10/12 problems from the past 10 years, organized by topic.

For Problems 11–20, which require deeper insight, students should develop personalized solution strategies and aim for an accuracy rate of at least 80%.

Recommended Practice Resources:

• AMC10 Past Papers (2010–2024)

• AMC12 Past Papers (2010–2024)

• AIME Past Papers (2010–2025)

3. Mock Exam and Final Sprint

In the final phase, students should repeatedly review incorrect and time-consuming problems, identify weak areas, and refine exam pacing through mock tests.

AMC Participation Eligibility

• AMC10: Students in Grade 10 or below who are under 17.5 years old on the exam date

• AMC12: Students in Grade 12 or below who are under 19.5 years old on the exam date

• AIME: An invitational exam for top scorers in AMC10 and AMC12, featuring significantly higher difficulty

Final Takeaway

Preparing for AMC10/12 is not about starting as early as possible—it is about matching preparation strategies to grade level and executing efficiently.

To help students evaluate their current level and experience the structure of AMC-style problems, we have curated AMC10/12 experience classes for the new season, providing a practical and low-risk entry point into competition preparation.

As a critical bridge between AMC and higher-level mathematics competitions, the AIME (American Invitational Mathematics Examination) is well known for both its difficulty and academic value.

In this article, we will take a clear and approachable look at what the AIME focuses on in 2026, the core mathematical areas it tests, and how students can reserve access to full solution analyses.

Key Features of the AIME Mathematics Competition

Unlike AMC multiple-choice exams, the AIME consists of 15 short-answer questions, each requiring complete logical reasoning and accurate final answers. There are no answer choices to rely on—every problem demands depth of thought and precise execution.

Overall, AIME questions emphasize conceptual understanding, flexible application of techniques, and rigorous problem-solving processes, mainly across the following four areas.

1. Algebra

AIME algebra problems rarely ask students to simply “solve an equation.” Instead, they focus on advanced algebraic manipulation, functional equations, and creative algebraic constructions.

For example, a problem may present a complicated rational or radical expression and ask for its integer part, or define a function with a special relationship and require the evaluation of a sum of function values.

Preparation Tips:
A strong command of AMC-level algebra techniques is essential. Beyond that, students should practice working with symmetric expressions, cyclic sums, and advanced algebraic identities that frequently appear in AIME problems.

2. Geometry

AIME geometry problems often involve complex plane-geometry figures, requiring the combined use of properties of circles, triangles, and classical theorems. In many cases, problems also integrate coordinate geometry or trigonometry.

For example, a problem may include a diagram with multiple intersecting circles and triangles and ask for the length of a segment that is not directly measurable. The key lies in drawing effective auxiliary lines and identifying hidden similarity or congruence relationships.

Preparation Tips:
Students should be fluent in common geometry theorems and models, such as Ceva’s Theorem and Menelaus’ Theorem, and practice breaking down complex diagrams into simpler, manageable components.

3. Number Theory

Number theory is one of the defining features—and challenges—of the AIME. Topics include divisibility, prime numbers, modular arithmetic, and Diophantine equations. While problems are often concise, they require highly rigorous and creative reasoning.

For instance, a problem might ask how many three-digit numbers satisfy a specific divisibility condition involving the number and the sum of its digits. Solving such problems requires systematic analysis and careful casework.

Preparation Tips:
Master fundamental tools such as modular arithmetic and the Euclidean algorithm, and develop familiarity with standard number-theory strategies through extensive practice and structured case analysis.

4. Combinatorics and Probability

Problems in this category often appear in real-life or game-based scenarios, asking students to count outcomes or compute probabilities accurately. Common techniques include case classification, the Principle of Inclusion and Exclusion, and recurrence relations.

Examples include counting the number of valid paths on a game board or determining how many codes satisfy a given set of constraints. Precision is essential to avoid overcounting or missing cases.

Preparation Tips:
Develop a clear understanding of the difference between permutations and combinations, and practice translating word problems into correct mathematical counting models.

Final Thoughts

Overall, AIME problems require students to move beyond AMC-level familiarity and develop deeper reasoning, complete solution structures, and rigorous mathematical writing. During daily practice, it is essential to write out every step clearly and logically—this habit not only improves accuracy but also strengthens problem-solving intuition.

For students preparing for AIME 2026, a clear understanding of these four core areas is the foundation for effective revision and high performance.

Based on the problem-setting patterns of the past ten years of AIME examinations, we are launching a pre-exam intensive training program combining exam trend analysis and problem prediction. This course is designed to help students accurately identify high-frequency topics and maximize scoring efficiency.

Students who enroll now will also receive priority access to in-depth official solution analysis for the 2026 AIME exams, including authoritative answers and scoring standards immediately after the exam embargo is lifted.

1. AIME 2026 Exam Schedule

• AIME I: February 6, 2026, 13:00–16:00

• AIME II: February 12, 2026, 13:00–16:00

2. AIME I / II Exam Trend Analysis and Problem Prediction Intensive Course

Course Highlights

• Real Exam Practice
  In-depth walkthrough of the 2026 AIME I paper. No excessive drilling—only the most representative “core problems” that reveal true problem-setting trends.

• Deep Conceptual Analysis
  Beyond final answers, the course focuses on underlying mathematical ideas, common traps, and high-score strategies. Students learn not only how to solve problems, but why the solutions work.

• Expert-Led Instruction
  Led by experienced competition coaches and top university graduates with extensive AIME teaching and exam experience, helping students prepare from the perspective of seasoned competitors.

Course Content

• Full problem-by-problem explanation of the 2026 AIME I exam

• Targeted AIME II topic forecasting and strategy guidance

Course Schedule

Instructor Profile – Mr. Wang

• Admitted through recommendation to Shanghai Huayu High School, Shanghai High School, and Peking University

• Master’s Degree (First Class Honours) in Financial Statistics from the London School of Economics (LSE)

• Winner of the Allianz Data Analysis Competition

• Two years of overseas professional experience

• Extensive background in mathematical competitions and elite student coaching

Selected Student Achievements

• 2024–2025:

  • 20+ AMC students advanced to AIME

  • 3 students achieved DHR

  • Early application admissions: 1 to Caltech, 3 to Ivy League universities

• 2023–2024:

  • 30+ AMC students advanced to AIME

  • 7 DHRs

  • 5 students scored 10+ on AIME

  • 1 USAMO Silver Medalist (National Rank #33)

  • Admissions to Stanford, Ivy League schools, and Oxbridge

  • Students admitted to SUMAC and ROSS math programs

• 2022–2023:

  • 30+ AMC students advanced to AIME

  • 5 DHRs

  • 6 students scored 10+ on AIME

  • 5 students admitted to the global elite SUMAC in-person program (40 students worldwide)

  • 1 student admitted to ROSS Mathematics Program

Course Format and Fee

• Format: Online live large-group class

• Fee: RMB 1,499

3. 2026 AIME Official Problems and Solutions

• AIME I official problems and solutions: Distributed after the embargo is lifted in 2026

• AIME II official problems and solutions: Distributed after the embargo is lifted in 2026

Students enrolled in the program will receive all materials centrally and promptly.

4. 2026 AIME II On-Site Exam Operations Guide

Event Schedule

• Admission Ticket Query:
  February 4, 2026, 12:00 PM
  (Registered mobile number must be remembered and used for answer sheet identification)

• Exam Time:
  February 12, 2026, 13:00–16:00
  (Entry permitted 30 minutes before the exam)

• Score Release:
  2–4 weeks after the exam

• Certificate Download:
  6–8 weeks after the exam

Exam Rules

• The exam consists of 15 short-answer questions

• Each correct answer earns 1 point; incorrect answers receive 0 points

• Each answer must be an integer from 0 to 999

• Answers with fewer than three digits must be padded with leading zeros (e.g., 000, 001, 011)

• Final scores are determined solely by the answer sheet markings
  (If the written answer is 055 but the filled answer is 056, the recorded answer will be 056)

5. Why Is AIME the “Golden Key” to Top Universities?

AIME is far more than a standard mathematics test—it is one of the most influential global mathematics competitions for secondary school students and a critical gateway to higher academic honors.

1. A Highly Selective Advancement System

AIME is a core component of the AMC competition system. Only students who achieve top scores on AMC 10 or AMC 12 (typically the top 2–2.5%) qualify. Every AIME participant represents the top tier of mathematical talent.

2. Exceptional Academic Value

AIME scores are a key criterion for selecting participants for USAMO and USAJMO. A strong AIME performance is not only proof of advanced mathematical ability but also a powerful academic credential that stands out in applications to Harvard, MIT, Stanford, and other world-class universities.

With the new AMC season approaching, students aiming for top scores need not only strong foundations but also a strategic preparation plan. Led by officially certified AMC instructors, our 2026 AMC10/12 program offers structured guidance and exclusive benefits to help students compete for the global top 1%.

1. AMC10/12 Competition Registration

2026 AMC10/12 Pre-Registration Now Open

As an officially authorized AMC-China examination center, we provide full registration support along with exclusive academic benefits for eligible students.

Registration Benefits

Notes:

• All exam seats are officially authorized by the AMC-China Organizing Committee.

• Exam registration fees are fully refundable without penalty before October 10, 2026.

• After October 10, 2026, exam seats are locked; withdrawals or absences are non-refundable.

• Students meeting the activity requirements (no missed exams) may contact academic advisors for benefits after score cutoffs are announced.

• Final interpretation rights belong to the organizing institutions.

2. 2026 AMC10/12 Experience Classes

Target Students

Students of any grade who are preparing for AMC10 or AMC12. These experience classes provide an introduction to key AMC topics and question styles.

Class Schedule

Course Highlights

• Instruction led by experienced mentors from top universities

• Affordable opportunity to experience full-priced flagship courses

• Carefully selected topics with real exam problem analysis and live Q&A

• Live sessions with replay access for review and consolidation

Instructor Profiles

AMC12 Instructor – Dr. Zhuang

• PhD in Mathematics (Mathematical Logic), University of Denver

• Bachelor’s degree in Applied Mathematics, Southeast University

• Associate editor of International Competition Mathematics Coaching (Junior Level), published with Tsinghua University Press

• Coached multiple students to top results in international math competitions

• 2025 AMC Results:

  • 10 students qualified for AIME

  • 3 students ranked Top 5%

  • 1 student ranked Top 1%

  • Overall AIME qualification rate: 53%

AMC10 Instructor – Mr. Xu

• Bachelor’s and Master’s degrees in Mathematics from the University of Cambridge

• Officially certified AP instructor by the College Board

• Students have repeatedly achieved Top 1% and Top 5% worldwide in AMC8/10

• AP Calculus students achieved a 5-score rate exceeding 80%

The 2026 AIME (American Invitational Mathematics Examination) admission ticket query channel is officially open. Below are important pre-exam details to help students prepare effectively.

1. Exam Schedule

Admission Ticket Query:

• Query Opens: February 4, 2026, 12:00 PM

• How to Query:

  1. Click here to access the query link.

  2. Enter your registered mobile number and verify to view your admission ticket.

• Note: Remember your registration mobile number, as it is required for filling out the answer sheet.

Exam Dates and Times:

• AIME I (Not open to international students): February 6, 2026 (Friday), 1:00–4:00 PM

• AIME II: February 12, 2026 (Thursday), 1:00–4:00 PM
  Students may enter the exam room 30 minutes before the exam to prepare.

Score and Certificate Release:

• Score Release: 2–4 weeks after the exam

• Certificate Download: 6–8 weeks after the exam
  Exact dates subject to official announcement.

2. Exam Instructions

• Enter the exam room 15–30 minutes before the start. Students arriving more than 15 minutes after the start will not be allowed to take the exam.

• Early submission of the exam is not permitted.

• Students must bring: black 2B pencils, erasers, black gel pens, and blank scratch paper.

• Allowed tools during the exam: blank scratch paper, ruler, compass, and eraser.

• Prohibited items: calculators, smartwatches, phones, electronic devices, protractors, or graph paper.

• After the exam, students must submit the answer sheet and exam paper together; removing them from the room is not allowed.

• Do not discuss exam questions, answers, or solutions with anyone within 24 hours after the exam.

3. Academic Integrity Rules

• Students must take the exam independently. Impersonation, coaching, or assistance from others will be considered a violation, and the exam result will be invalid.

• Using books, notes, electronic devices, or copying from others constitutes academic misconduct; results will be voided.

• Students must complete personal matters before the exam and may not leave the room during the exam. Leaving the room will be treated as cheating.

• Any behavior affecting exam fairness will be penalized.

4. Answer Sheet Instructions

• Use black gel pen for signature, mobile number, and answer writing sections; use 2B pencil for all other filling areas.

• Fill in the answer retention page on the last page of the exam.

• Do not write outside the designated areas; extraneous marks may cause the machine to reject the answer sheet.

• Do not use correction fluid, tape, or leave pencil debris after erasing; clean thoroughly to prevent scoring errors.

• If a wrong option is marked, erase it completely to avoid being counted as multiple selections.

• When signing the pledge, use black gel pen in block letters; do not use cursive.

• The student’s registered mobile number serves as the unique identifier. Fill and mark carefully to prevent invalid scores.

Scoring:

• Each correct answer: 1 point

• Incorrect or blank answer: 0 points

• Maximum score: 15 points

• Answers are integers from 0–999; fill leading zeros for numbers under three digits (e.g., 000, 001, 011). The machine reading determines the final score.

5. AIME II Pre-Exam Crash Course

For students preparing for AIME II, the release of AIME I past papers provides efficient pre-exam practice. Real exam simulations help understand difficulty levels and trends.

Target Students:

• Students who qualified for AIME and aim for high scores in AIME II

• Top-performing AMC10/12 students preparing in advance

Course Highlights:

• Real Exam Practice: Focus on representative problems, avoiding redundant drills.

• In-Depth Analysis: Learn underlying mathematical ideas, traps, and high-score strategies.

• Expert Instructors: Experienced competition coaches and top students guide preparation.

Course Schedule:

Instructor Background (Mr. Wang):

• Admitted to Shanghai Huayu High School, Shanghai High School, and Peking University

• Master’s degree (First Class) in Financial Statistics from London School of Economics (LSE)

• Winner of Allianz Data Analysis Competition

• Two years overseas work experience with extensive math competition background

Previous Achievements:

• 2024–2025: 20+ AMC students advanced to AIME; 3 DHRs; early applicants admitted to Caltech and Ivy League schools

• 2023–2024: 30+ AMC students advanced to AIME; 7 DHRs; 5 AIME scores above 10; 1 USAMO Silver Medalist ranked 33 nationally; multiple admissions to Ivy League and Oxbridge

• 2022–2023: 30+ AMC students advanced to AIME; 5 DHRs; 6 AIME scores above 10; several students admitted to top global math summer programs

As the 2026 AIME (American Invitational Mathematics Examination) approaches, the final stage of preparation becomes critical for students who have already secured qualification. With the AIME score weight in the USAMO/USAJMO qualification formula doubling from 10× to 20× in 2026, every single point now carries unprecedented significance.

This article provides a comprehensive overview of the 2026 AIME schedule, exam policies, difficulty structure, time management strategies, and in-exam techniques, helping students approach the competition with clarity and confidence.

I. 2026 AIME Schedule and Key Information

(1) Exam Dates and Format

The 2026 AIME will be administered in two separate sessions:

• AIME I: Thursday, February 6, 2026, 13:00–16:00

• AIME II: Wednesday, February 12, 2026, 13:00–16:00

Students may participate in only one of the two sessions.

(2) Exam Overview

• Exam duration: 3 hours

• Number of questions: 15 integer-answer questions

• Answer format: Integers from 000 to 999

• Scoring:

  • 1 point per correct answer

  • No penalty for incorrect or blank answers

  • Maximum score: 15

• Language: Bilingual (English and Chinese)

• Calculator policy: Calculators are strictly prohibited

(3) Major Weight Adjustment in 2026

The 2026 season introduces a significant rule update: the weight of AIME scores in USAMO and USAJMO qualification has doubled.

The updated formulas are:

• USAMO Index = AMC 12 Score + 20 × AIME Score

• USAJMO Index = AMC 10 Score + 20 × AIME Score

As a result, the AIME score now accounts for approximately two-thirds of the total qualification index, compared to about half in previous years. This change substantially elevates the strategic importance of AIME performance.

(4) Relationship to Other Math Competitions

• USAMO (USA Mathematical Olympiad)
  Comparable to China’s CMO; open only to U.S. citizens and permanent residents.

• AIME (American Invitational Mathematics Examination)
  A high-impact credential for U.S. college admissions. Scores of 7–10 are particularly competitive.

• AMC 10 & AMC 12
  Top 2.5% (AMC 10) and 5% (AMC 12) qualifiers are invited to AIME.

• AMC 8
  Designed to cultivate mathematical interest and problem-solving skills; often compared to domestic junior math competitions.

II. AIME Difficulty Structure and Time Management Strategy

AIME problems are known for their clear gradient of increasing difficulty. Developing a disciplined time allocation strategy is essential for achieving a strong score.

(1) Difficulty Breakdown and Recommended Strategy

(2) Time Allocation Principles

Although the average time per problem is 12 minutes, effective allocation should follow the principles of “tight early, flexible late” and “easy first, hard later.”

• Problems 1–5:
  Complete within 40 minutes. These are the most reliable scoring opportunities and should be solved carefully to avoid unnecessary errors.

• Problems 6–10:
  Allocate around 50 minutes. This section is critical for gaining a competitive edge and typically requires synthesizing multiple concepts.

• Problems 11–15:
  Reserve at least 30 minutes. Even partial progress on these problems can be valuable, and thoughtful attempts are encouraged.

III. In-Exam Techniques and Common Pitfalls

(1) Core Problem-Solving Techniques

• Pattern Exploration: Reduce complex problems to smaller cases and analyze numerical or structural patterns.

• Special Value Substitution: For equations or symmetry-based problems, test values such as 0, 1, or −1.

• Visual Aids:

  • Draw precise diagrams for geometry problems.

  • Use tables or tree diagrams for combinatorics problems.

• Symmetry Awareness: Symmetric structures often lead to integer or special-value answers, which can be used to validate results.

(2) Common Mistakes and How to Avoid Them

(3) Mindset and Psychological Readiness

AIME is widely regarded as a challenging competition. Even experienced contestants may find it difficult to solve every problem. When encountering difficult questions, remain calm and remember that even top scorers do not necessarily complete the entire paper.

Prioritize accuracy on solvable problems and recognize that partial success on challenging questions can still meaningfully impact the final score.

With only days remaining until the 2026 AIME, every day of preparation counts. Maintain a steady review rhythm and avoid excessive fatigue just before the exam. Ultimately, success in AIME depends not only on mathematical knowledge, but also on exam strategy, time management, and mental composure.

I. Understanding AIME: What It Is and Why It Matters to Ivy League Admissions

The American Invitational Mathematics Examination (AIME) is a pivotal competition within the U.S. mathematics contest system. It serves as a bridge between AMC 10/12 and the elite USAMO/USAJMO, and is widely regarded as one of the most internationally recognized mathematics competitions for middle and high school students.

Participation in AIME is by invitation only. Students must first qualify through the AMC 10 or AMC 12 before becoming eligible to compete.

For students applying to top universities abroad, AIME’s value lies in three key dimensions:

• A Recognized Credential for Elite Universities
  Leading institutions such as Harvard, Stanford, MIT, and other Ivy League and G5 universities consistently consider AMC and AIME results in STEM admissions.
  An AIME score of 7 or higher is widely viewed as strong evidence of mathematical excellence, while 10+ points can significantly strengthen applications to the most competitive programs.

• A Critical Turning Point in the Competition Pathway
  Beginning in the 2026 season, the USAMO/USAJMO qualification formula has been updated to:
  Qualification Index = AMC 12 Score + 20 × AIME Score.
  Compared to previous years, the weight of AIME has effectively doubled, making a high AIME score essential for students pursuing advanced competition tracks and elite academic resources.

• A True Measure of Advanced Mathematical Ability
  AIME emphasizes integrated problem-solving and creative reasoning, rather than isolated knowledge points. High scorers demonstrate strong logical thinking, adaptability, and the ability to tackle unfamiliar challenges—qualities highly valued by top universities.

II. Key Information at a Glance: Eligibility, Timeline, and Target Grades

(1) Eligibility Requirements

AIME is strictly invitation-based and does not allow independent registration. Only students who qualify through AMC 10 or AMC 12 may participate.

• AMC 10:
  Top 2.5% globally or a score of 120+ (out of 150)

• AMC 12:
  Top 5% globally or a score of 100+ (out of 150)

Important Reminder:
After qualifying, students must confirm participation within the designated time window (confirmation procedures vary by registration channel). Failure to confirm on time will be considered a withdrawal. No additional fee is required for confirmation.

(2) Key Dates for the 2026 Season (China Region)

Additional Notes:

• Students may participate in either AIME I or AIME II, but not both in the same year.

• All online testing formats have been discontinued in 2026. Attendance at an authorized test center is mandatory.

(3) Recommended Grades and Target Scores

• Eligible Grades: Typically Grades 7–12, with an age limit of 19.5 years on the exam date.

  • Grade 9+ students often pursue AMC 10 → AIME

  • Grade 10+ students commonly pursue AMC 12 → AIME

  • Exceptionally strong students in Grades 7–8 may also qualify

Target Scores by Level:

• Foundation Level (New Qualifiers)
  Target: 5+ points
  Focus on the first 5 problems, which are comparable to mid-to-high difficulty AMC 12 questions.

• Advanced Level (Top 5% AMC)
  Target: 7+ points
  Aim to solve the first 10 problems, where integrated knowledge creates meaningful score differentiation.

• Elite Level (Top 1% AMC)
  Target: 10+ points
  Challenge the final 5 problems, which require advanced creativity and abstract reasoning.

Score Context:
The AIME has a maximum score of 15, but the historical average is only 5.0–5.4 points.
A score of 7 already places a student in roughly the top 18% worldwide, offering strong competitiveness for Top 30 U.S. STEM programs. Setting realistic goals based on one’s foundation is far more effective than chasing a perfect score.

(4) Exam Structure and Content Overview

• Format:
  15 integer-answer questions (answers range from 000 to 999); no multiple-choice questions

• Duration:
  3 hours (180 minutes), averaging 12 minutes per problem

• Scoring:
  +1 point for each correct answer; 0 points for incorrect or blank responses; no penalty

• Permitted Tools:
  No calculators or instruments allowed; only pencils or pens may be used

Content Distribution:

• Algebra (35–40%):
  Higher-degree equations, Vieta’s formulas, complex inequalities, complex number transformations

• Geometry (30–35%):
  Power of a point, concyclic quadrilaterals, coordinate and solid geometry

• Number Theory (20–25%):
  Modular arithmetic, congruences, Diophantine equations

• Combinatorics (10–15%):
  Counting methods, probability models, introductory graph theory

III. Core Preparation Strategies for AIME

AIME is significantly more challenging than AMC competitions. It evaluates comprehensive reasoning and problem-solving depth, making unstructured self-study or excessive problem drilling inefficient—especially for students targeting 7+ or 10+ scores. A systematic approach is essential.

(1) Personalized Study Planning

Preparation should be tailored to a student’s mathematical foundation, weak areas, available preparation time, and the 2026 trend of increased emphasis on AIME scores and number theory/combinatorics.
Students with weaker foundations should solidify AMC 12 gaps before tackling the first 10 AIME problems, while stronger students should focus on mastering the final 5 problems to aim for elite scores.

(2) Tiered Skill Development

• Foundation Tier (5–7 points):
  Master the concepts behind Problems 1–10, such as Vieta-based algebra techniques and classic power-of-a-point geometry problems, using targeted exercises and past problems.

• Improvement Tier (7–9 points):
  Focus on Problems 6–10 through topic-based training (e.g., algebra–geometry hybrids, modular number theory), learning to decompose complex problems and integrate multiple concepts.

• Elite Tier (10+ points):
  Concentrate on Problems 11–15, developing creative strategies such as geometric inversion and recursive combinatorial thinking, supported by advanced past-problem analysis and mock tests.

(3) Past Papers and Full Mock Exams

• Past Problem Analysis:
  Study AIME problems from 1983–2025, focusing not only on solutions but on underlying reasoning patterns, common traps, and frequent calculation pitfalls.

• Full-Length Mock Exams:
  In the final month, complete one full mock exam per week under authentic conditions: 3 hours, no calculator, offline environment. Practice strict time management (e.g., completing the first 5 problems within 40 minutes).

• Post-Exam Review:
  Analyze errors after each mock test, adjusting strategies for accuracy, speed, and question selection to ensure continuous improvement.

(4) Ongoing Q&A and Progress Monitoring

Address conceptual gaps and mistakes promptly to prevent accumulation of weaknesses. Regular progress reviews allow study plans to be adjusted dynamically for maximum efficiency.

(5) Academic Pathway Integration

After receiving AIME results, students can incorporate competition experiences into application essays and activity lists, highlighting mathematical rigor and academic potential. Results may also inform next steps, such as pursuing USAMO qualification or applying to selective math-focused summer programs.

AIME is undeniably challenging, and not every student should aim for a 10+ score. However, with realistic goal-setting, structured preparation, and sustained effort, even a 5–7 point result can significantly enhance competitiveness in international university applications.

With only one week remaining until the 2026 AIME II, this highly anticipated written competition represents the only AIME session accessible to students in China and serves as a critical opportunity to demonstrate advanced mathematical ability—particularly for those aiming for top-tier U.S. universities.

As the advanced invitational stage of the AMC competition series, AIME II is not open to all students. Only those who qualify through AMC 10 or AMC 12 are eligible to participate.

I. Important Pre-Exam Notes for AIME II

Unlike previous years, the 2026 AIME has fully eliminated the online format and will be conducted exclusively as an in-person, paper-based examination.

(1) Required Materials Checklist

• Stationery:

  • 2B pencils (for answer sheet bubbling)

  • Black gel pen or ballpoint pen (for scratch work)

  • Ruler and compass

• Scratch paper:

  • Please prepare sufficient blank scratch paper in advance

• Strictly prohibited items:

  • Calculators of any kind

  • Mobile phones, smart devices, or any electronic communication tools

(2) Examination Rules

• Students must enter the examination room 15–30 minutes before the exam begins.

• Students who arrive 15 minutes after the start time will not be permitted to take the exam.

• After the exam concludes, all answer sheets and test papers must be submitted.

• Candidates are not allowed to take any exam materials out of the examination room.

(3) Violations and Disciplinary Measures

• The exam must be completed independently. Any form of impersonation or external assistance will result in score invalidation.

• Consulting books, notes, or electronic devices, as well as any form of copying or information exchange, will be treated as academic misconduct, and scores will be voided.

• All personal needs (water, restroom, etc.) must be addressed before the exam begins.
  Leaving the exam room during the test will be considered a violation, and the score will be invalidated.

• Any other behavior that compromises exam fairness will result in disciplinary action.

II. Key Differences Between AIME I and AIME II

(1) Exam Schedule

The two exams are typically held approximately one week apart.

• AIME I: February 6, 2026, 13:00–16:00 (tentative)

• AIME II: February 12, 2026, 13:00–16:00 (tentative)

(2) Question Content and Style

The two papers are completely independent, with no overlap in questions.
While both cover similar subject areas, they differ in:

• Knowledge combinations

• Problem framing

• Solution pathways

For example, AIME I algebra may emphasize nested functions, while AIME II may focus more on higher-degree equations.
Similarly, one exam may favor solid geometry, while the other emphasizes advanced plane geometry.

(3) Topic Distribution and Difficulty Fluctuations (by Year)

• Geometry:

  • 2022: AIME I had 5 geometry problems, AIME II had 4

  • 2023: AIME I had 4 geometry problems; AIME II geometry was slightly easier

• Algebra / Number Theory / Combinatorics:

  • In 2023, AIME I included 4 combinatorics and 4 number theory problems

  • In some years, AIME II places greater emphasis on number theory and combinatorics, with a reduced geometry proportion

• Integrated Problems:

  • Both exams include cross-topic problems (e.g., geometry + number theory, combinatorics + polynomials), though the structures and solution strategies differ

(4) Overall Difficulty Trends

In certain years, the first 5 problems of AIME II may be easier, with later problems becoming more challenging.
In other years, the overall difficulty may be slightly higher or lower than AIME I.
There is no fixed rule, as variations arise solely from problem design.

III. High-Score Preparation Strategies for AIME

(1) Score-Based Target Strategies

• Target: 5+ points

  • Aim to solve Problems 1–6 flawlessly

  • These problems are comparable to the later questions of AMC 12

  • Focus on core concepts and avoid careless calculation errors

• Target: 7+ points

  • Secure accuracy on Problems 1–5

  • Selectively solve Problems 6–10 based on personal strengths (e.g., algebra or geometry)

  • Avoid spending excessive time on problems without a clear approach

• Target: 10+ points

  • Strive for correctness through Problems 1–10

  • Reserve at least 30 minutes for Problems 11–15

  • Prioritize high-discrimination topics such as number theory and combinatorics

(2) Advanced Test-Taking Techniques and Common Pitfalls

1. Problem-Solving Techniques

• Spend 1–2 minutes assessing each problem’s topic and difficulty; skip immediately if no clear idea emerges

• Draw accurate diagrams for geometry problems

• For combinatorics, test small cases to identify patterns

• In algebra, substitute simple values to verify expressions

• Suggested time allocation:

  • Problems 1–6: 30–40 minutes

  • Problems 7–10: 30–40 minutes

  • Problems 11–15: selective deep work

2. Common Pitfalls to Avoid

• Calculation errors: keep scratch work organized and compute step by step

• Misreading constraints such as “integer solutions” or “non-zero solutions”

• In combinatorics and number theory, ensure all cases are considered without omission or duplication