What is AMC10? Why Do So Many Students Participate? Why is the Top 1% (DHR) So Hard to Achieve?

AMC10 is an international authoritative mathematics competition sponsored by the Mathematical Association of America (MAA) for students in grade 10 and below. In recent years, its popularity has soared—not only because it serves as a stepping stone to higher-level competitions (such as AIME and USAMO), but also because it has become a "hard currency" for applying to the world's top universities and entering science classes in prestigious domestic high schools.

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This article will systematically answer:

✅ What is AMC10?

✅ Why is it so highly valued?

✅ Why is the top 1% (DHR) so difficult to achieve?

✅ How can beginners prepare scientifically for the competition?

I. AMC10 Basic Information at a Glance

Item Details
Organizer Mathematical Association of America (MAA)
Eligibility Grade 10 and below, and age ≤ 17.5 years
Exam Date November each year (A and B versions; candidates can take either or both)
Exam Duration 75 minutes
Question Type & Scoring 25 multiple-choice questions; Correct: +6 points | Omitted: +1.5 points | Incorrect: 0 points; Total: 150 points
Language Bilingual Chinese-English test papers (very friendly to Chinese students)
Core Modules Algebra, Geometry, Number Theory, Combinatorics (the four pillars; recent years have seen an increased proportion of number theory/combinatorics in the final problems)

II. Why Do So Many Students Participate? The Five Core Values of AMC10

1. The "Golden Ticket" for Ivy League & G5 Universities

Recent admissions data shows: Over 45% of admitted STEM students at Ivy League / Oxford / Cambridge have AMC participation experience; MIT, Stanford, Cambridge and others explicitly consider AMC/AIME scores in the Common App; AMC10 top 1% (DHR) ≈ international math proficiency certification, far exceeding high scores in regular school curriculum.

2. A Selection Tool for "Science & Technology / Science Classes" in Top Domestic High Schools

No.2 High School of East China Normal University, Shanghai High School, Fudan High School: AMC10 110+ points can directly lead to interviews; Qibao High School, Jianping High School, Nanyang Model High School: top 25% (about 100 points) get priority in independent admissions, some "score line reached, admission guaranteed"; Entrance exam of Guanghua Cambridge: Question 9 directly uses an AMC10 original question; World Foreign Language Academy even tests AMC12 difficulty.

3. The "First Building Block" of the International Competition Pyramid

Top 2.5% (approx. 103–110 points) → Advance to AIME; High AIME score → USAMO → IMO national team; AMC10 is the starting point for IMO and the essential path for most international competition participants.

4. Skill Enhancement: Highly Synergistic with IB/AP/A-Level

The problems emphasize logical reasoning, modeling ability, and creative solutions; content highly overlaps with IB Math AA/AI, AP Calculus, and A-Level Further Math; preparation can enhance school performance, achieving a win-win for "competition + coursework."

5. Global Recognition, Lifetime Validity of Certificate

Officially issued by the MAA, widely recognized by global universities, summer schools, and research projects; one high score can serve as proof of academic ability for life

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III. Why is the AMC10 Top 1% (DHR) So Hard to Achieve?

1. Intense Time Pressure

75 minutes / 25 questions = average 3 minutes per question; the first 15 questions must be completed within 30 minutes to leave enough time for the last 10 questions (especially the final problems 21–25); beginners often run out of time for the final problems due to slow reading, slow calculation, or hesitation.

2. Fierce Global Competition

Over 30,000 candidates worldwide each year, but the top 1% is only about 300 people; students from China, South Korea, India, etc., are generally trained systematically; the era of unprepared testing is over; the cutoff scores keep rising: in recent years, DHR has stabilized at 130+ points (out of 150).

3. Numerous Traps in Problems

AMC10 is known for "seemingly simple, yet full of hidden traps": unit confusion, ignoring boundary conditions, misleading diagrams (non-standard drawings); many students "feel they got it right, but the answer is wrong," essentially due to shallow understanding and lack of rigorous thinking.

4. Very Low Tolerance for Errors

130 points ≈ at most 1–2 mistakes; moreover, at least 3–4 of questions 21–25 must be correct (each worth 6 points, determining whether you enter DHR); this means not only a solid foundation is needed, but advanced thinking must also be excellent.

IV. Award Categories and Cutoff Score References (Recent Trends)

Award Requirement Cutoff Score (Reference)
Perfect Score 150 points Very few
Distinguished Honor Roll (DHR) Top 1% ≥130 points
Honor Roll Top 5% ≥103–110 points
Achievement Roll Grade 8 or below & ≥90 points
Key Tip: AIME qualification threshold ≈ top 2.5% ≈ 103–110 points (adjusted slightly each year); DHR (top 1%) is the "hard indicator" truly valued by top-tier universities.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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2025 AMC10 Cutoff Scores Analysis! AMC10 A vs B: How to Choose?

With the release of the 2025 AMC10 cutoff scores, we can observe a trend of increasing difficulty year by year. The threshold for advancing has risen, and the competition has become more intense. This article will provide a detailed analysis of the 2025 AMC10 cutoff trends, the differences between the A and B versions, and offer preparation strategies for 2026 to help you stand out in the fierce competition.

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I. Analysis of the 2025 AMC10 Cutoff Scores

Trends in Cutoff Scores over the Last 5 Years

Key Findings:
Significant increase in advancement cutoff: From 93-96 points in 2021 to 105-108 points in 2025.
Intensified competition in high-scoring zones: The cutoffs for the top 5% and top 1% have also risen correspondingly, reaching historic highs in 2025.

Analysis of Underlying Reasons:

Surge in number of participants: The number of test-takers, especially in China, continues to grow globally, leading to more intense competition.

Changes in question style: Shift from "calculation-oriented" to "thinking-oriented and flexible," requiring students to have stronger logical reasoning abilities.

Increased weight of AIME: The value of advancing to the AIME has increased, attracting more outstanding students to participate.

II. AMC10 A vs B: How to Choose?

01 Differences in Focus and Difficulty

AMC10 A
Basic scores are key: Questions are mostly "direct applications of core knowledge points," without obscure or strange questions.
Characteristics: The first 15 questions are basic questions (accounting for 60% of the total score), suitable for candidates who want to "secure basic points and aim for medium scores." Questions 16-20 are medium difficulty. Questions 21-25 are only a few advanced questions.

AMC10 B
Advanced questions determine the gap: The questions focus more on "higher-order thinking and comprehensive problem-solving strategies," with a higher proportion of difficult questions (19-25) requiring unconventional methods to solve.
Characteristics: The proportion of basic questions is reduced, and medium and difficult questions are closely linked. Suitable for candidates with "a solid foundation who want to reach the top 5% / top 1%."

02 Differences in Cutoff Scores

The difficulty levels of the A and B versions are similar, but some questions on the B version are more challenging. Historical data shows that the advancement cutoff for the B version is generally higher than that of the A version, but the overall fluctuation is minimal.

03 How to Choose?

Exam Schedule: The A version is usually one week earlier than the B version (expected to be November 6 and November 14, 2026).
Difficulty and Focus: The A version focuses more on the application of mathematics in real-world scenarios and computational problem-solving. The B version emphasizes a balanced examination of various fields, with some questions being more flexible and requiring higher mathematical literacy.

Strategic Recommendations: If conditions permit, it is recommended to take both exams and use the highest score. If you can only take one, you can first refer to the A version's past papers to familiarize yourself with the question types before making a decision.

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III. 2026 AMC10 Preparation Strategies

1. Foundation Phase (6 months in advance)

Core Goal: Focus on Algebra (main scoring area) + Number Theory (advantageous for gaining points), thoroughly understand medium-level geometry problems, and grasp basic combinatorics question types.

Specific Steps: Work through questions 1-22 of past 10 years' exams by module, summarizing quick problem-solving techniques for each module (e.g., substitution method in algebra, auxiliary lines in geometry, congruence simplification in number theory). Aim for ≤5% errors per module, ensuring immediate familiarity with the approach for medium-level questions (11-20).

2. Advanced Phase (3 months in advance)

Core Goal: Full-length timed mock exams (75 minutes), practicing time allocation and answer strategies.

Ideal Pace:
Questions 1-10 ≤18 minutes (all correct)
Questions 11-20 ≤32 minutes (≤1 wrong)
Questions 21-25 ≤20 minutes (aim for 2-3 correct)
Last 5 minutes for review.

Study Plan: Complete 3 sets of past A/B exams from the last 5 years each week, review mistakes on the same day, and fill frequent gaps.

3. Sprint Phase (1 month before the exam)

Core Goal: Let go of obscure and strange questions, return to high-frequency topics and core formulas.

Specific Steps: Review the mistake notebook + high-frequency questions from the last 3 years, memorize quick calculation formulas for geometry/number theory, practice classic question types 21-25. Establish consistent answering habits, circle keywords in questions to avoid reading comprehension or calculation errors.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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AMC10 Complete Knowledge Breakdown! AMC10 Question Distribution and Difficulty Levels – Let's Understand! How Long Does It Take to Prepare for AMC10 to Win an Award?

AMC10 is an international mathematics competition sponsored by the Mathematical Association of America (MAA) for students in grade 10 and below. Its test content covers all mathematics knowledge points from junior high school to first-year high school, and places higher demands in certain areas (such as number theory and combinatorics). This article will analyze in detail the knowledge point distribution, difficulty levels, and preparation strategies for AMC10, helping you scientifically plan your preparation path.

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I. AMC10 Comprehensive Knowledge Breakdown

1. Required Knowledge Points (Focus on Mastering)

Algebra
Algebraic calculation techniques: factorization, substitution, expansion, etc.; Linear functions and equations: systems of linear equations, slope-intercept form; Absolute value and floor functions: absolute value inequalities, floor operations; Sequences: arithmetic sequences, geometric sequences and their applications; Quadratic functions and equations: quadratic formula, Vieta's theorem, discriminant.

Geometry
Geometric transformations: translation, rotation, reflection; Circle properties: tangents, secants, arc length, inscribed angles; Similar triangles: proportional relationships, similarity criteria; Lines and circles: intersection, tangency, distance formula.

Number Theory
Congruence: modular arithmetic, congruence equations; Divisibility: prime factorization, greatest common divisor, least common multiple; Prime factorization: primality testing, fundamental theorem of arithmetic; Base conversion: conversion between binary, decimal, and hexadecimal.

Combinatorics
Permutations and combinations: fundamental counting principle, permutation and combination formulas; Basic probability: classical probability, conditional probability; Inclusion–exclusion principle: union, intersection, and complement in set operations; Recurrence relations: Fibonacci sequence, dynamic programming concepts.

2. Distribution of Common Pitfalls (By Module)

Algebra
Reading comprehension in word problems: pay attention to unit conversion and implicit conditions; Solving absolute value equations: consider multiple solutions; Exponential and logarithmic calculations: special handling when the base is a fraction or negative number.

Geometry
Finding equal angles in congruent/similar triangles: construct auxiliary lines, use parallelogram properties; Cutting and augmenting figures: partitioning and recomposing complex shapes; Spatial imagination: develop spatial sense, projection in solid geometry.

Counting
Distinguishing permutations from combinations: avoid double counting, understand the meaning of combinations; Application of recurrence relations: Fibonacci sequence, dynamic programming thinking.

Number Theory
Prime factorization: quickly determine whether a number is prime; Units digit problems: patterns in last digits, periodicity analysis.

Probability
Discrete probability: independence of events, mutually exclusive events; Geometric probability: area ratios, length ratios, volume ratios.

II. AMC10 Question Distribution and Difficulty Levels

1. Basic Questions (Questions 1–8)

Low difficulty, covering basic knowledge of algebra, geometry, and number theory; Aim to get all correct, ensuring accuracy and speed, saving time for harder questions later.

2. Relatively Easy Questions (Questions 9–13)

Slightly higher difficulty, mainly reflected in the traps set in the problem statements; Requires careful reading; This part can be mastered by most students.

3. Medium Difficulty Questions (Questions 14–17)

This is the watershed and the key to entering the top 1%; For G8 and below, getting 15 questions correct is excellent; for G9+ students, focus on overcoming this part and aim for all correct.

4. Relatively Hard Questions (Questions 18–23)

Quite challenging; besides basic techniques, advanced concepts such as linear functions, quadratic equations, and probability & statistics are introduced; Key area for those aiming for the top 5% and AIME qualification.

5. Difficult Questions (Questions 24–25)

The truly difficult area, requiring deep knowledge and high mental agility; Only a very small number of students can complete these; students aiming for a perfect score should focus on breaking through here.

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III. AMC10 Preparation Timeline and Strategies

1. Foundation Consolidation Phase (recommended 6–8 months in advance)

Goal: Systematically review all AMC10 topic areas, expand on school mathematics knowledge;
Methods: For beginners and lower-grade students: spend at least six months building a solid foundation; Review school knowledge: ensure no major gaps in algebra, geometry, number theory, and combinatorics; Supplement competition-specific content: such as congruence equations in number theory, recurrence relations in combinatorics, etc.

2. Practice Phase (3–4 months before the exam)

Goal: Improve problem-solving speed and accuracy through past paper training;
Methods: Study past exams: familiarize yourself with the application of each knowledge point in the questions; Connect knowledge areas: train flexible problem-solving approaches; Accumulate mistakes: overcome your own challenging problems.

3. Simulation Sprint Phase (1–2 months before the exam)

Goal: Adapt to exam rhythm and adjust mental state;
Methods: Timed simulation tests: strictly control time to simulate real exam environment; Adjust strategy: reasonably allocate time based on personal strengths and weaknesses; Psychological preparation: reduce anxiety and build confidence.

Note: Everyone learns at a different pace. It is recommended to adjust the preparation plan according to your actual situation. The most important thing is to maintain a consistent study schedule and review regularly.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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AMC10 American Mathematics Competition Rules - AMC10 Awards - AMC10 Competition Official Website

1. Eligibility

The AMC 10 is open to students in grades 9 and 10, as well as students with outstanding AMC 8 scores.

2. Competition Language
Bilingual in Chinese and English.

3. Test Format
75 minutes answering time, maximum score of 150 points, consisting of 25 multiple-choice questions. Focuses on high school mathematics.

4. Scoring Rules
Each correct answer earns 6 points. Each unanswered question receives 1.5 points, and each incorrect answer receives 0 points. The maximum score is 150 points.

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5. Schedule

US Region (US Time)

AMC 10 A
AMC 10 B
Early Registration Deadline
September 30, 2025
September 30, 2025
Regular Registration Deadline
October 15, 2025
October 15, 2025
Late Registration Deadline
October 28, 2025
October 28, 2025
Exam Date
November 5, 2025
November 13, 2025

China Region

AMC 10/12 A
AMC 10/12 B
Registration Deadline
October 27, 2025
November 4, 2025
Exam Date
November 6, 2025, 17:00-18:15 (Thursday)
November 14, 2025, 17:00-18:15 (Wednesday)
Score Inquiry
6-8 weeks after the competition
Download Electronic Certificate
6-8 weeks after the competition

6. AMC10 Participant Awards

① New awards for the 2025 season:
▸ New Top 10% Honor Roll (Global Top 10%)
▸ New Top 25% Honor Roll (Global Top 25%)

② Original awards remain unchanged

Global Individual Awards:
Perfect Scores: Students who achieve a perfect score of 150 points.
AMC 10/12 Honor Roll of Distinction: Global top 1% of scores.
AMC 10/12 Distinction: Global top 5% of scores.
AMC 10 Certificate of Achievement: Grade 8 and below students who score 90 points or above on the AMC 10.
AMC 12 Certificate of Achievement: Grade 10 and below students who score 90 points or above on the AMC 12.

Global Team Awards:
School Honor Roll: Sum of the top 3 students' scores in the school is ≥400 points.
School Merit Roll: Sum of the top 3 students' scores in the school is between 300 and 399 points.

Certificates:
AMC 10 Participation Certificate
AMC 10 Honor Roll of Distinction
AMC 10 Honor Roll
AMC 10 Certificate of Achievement
AIME Qualification Certificate

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AMC10 Historical Cutoff Scores

AMC10
Honor Roll of Distinction
Certificate of Distinction
AIME cutoff
TOP 10%
TOP 25%
2025
A卷 136.5
112.5
105
94.5
69
B卷 133.5
105
99
87
66
AMC10
Honor Roll of Distinction
Certificate of Distinction
AIME cutoff
2024
A卷 132
105
94.5
B卷 138
114
105
2023
A卷 136.5
111
103.5
B卷 135
112.5
105
2022
A卷 121.5
100.5
93
B卷 114
100.5
94.5
2021(Fall)
A卷 117
96
96
B卷 120
96
96
2021(Spring)
A卷 132
103.5
103.5
B卷 126
102
103.5
AMC10 (2012-2020)
Honor Roll of Distinction
AIME cutoff
2020 AMC10 A
124.5
103.5
2020 AMC10 B
120
102
2019 AMC10 A
123
96
2019 AMC10 B
121.5
102
2018 AMC10 A
127.5
100.5
2018 AMC10 B
123
97.5
2017 AMC10 A
127.5
112.5
2017 AMC10 B
136.5
120
2016 AMC10 A
120
110
2016 AMC10 B
124.5
110
2015 AMC10 A
115.5
106.5
2015 AMC10 B
132
120
2014 AMC10 A
132
120
2014 AMC10 B
132
120
2013 AMC10 A
117
108
2013 AMC10 B
129
120
2012 AMC10 A
121.5
115.5
2012 AMC10 B
133.5
120

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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How Many Easy and Hard Questions Are on the AMC 10? How Can Students in Grades 7-10 Efficiently Prepare for the AMC 10?

As the difficulty of the AMC 10 competition increases year by year, scientific and reasonable preparation strategies have become particularly important. This article will provide detailed preparation plans for students in grades 7 to 10, helping you stand out in the fierce competition.

I. AMC 10 Question Analysis and Goal Setting

Basic Questions [Questions 1-8]
Characteristics: Relatively low difficulty, mainly testing basic algebra, geometry, and number theory problems.
Strategy: Ensure accuracy and speed, strive to get all correct to leave more time for subsequent questions.

Relatively Easy Questions [Questions 9-13]
Characteristics: Slightly more difficult, with small traps, requiring careful reading.
Strategy: Stay alert, avoid losing points due to carelessness, try not to lose points.

Medium Difficulty Questions [Questions 14-17]
Characteristics: Have a certain level of difficulty, especially for students in grade 8 and below; this is a key area to conquer.
Strategy: Aim to get at least 15 correct out of the first 17 questions to secure the Global Honor Roll.

Relatively Difficult Questions [Questions 18-23]
Characteristics: Involve advanced concepts such as quadratic functions, similar triangles, probability and statistics, which are key to widening the score gap.
Strategy: For the goal of AIME qualification and the global top 5%, these need to be focused on and intensively trained.

Difficult Questions [Questions 24-25]
Characteristics: The truly difficult area, testing deep mathematical knowledge and talent for thinking.
Strategy: Suitable for students aiming for a perfect score or the global top 1%; focus on problem-solving skills and experience accumulation.

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II. AMC 10 Preparation Strategies by Grade Level

Grade 7 Students
Goal: Ensure that in-school math grades are consistently above 90 points and master the core knowledge points of middle school mathematics. If you have experience participating in the AMC 8, you can gradually transition to the AMC 10.
Time Planning: Foundation Learning (50 hours): Systematically review knowledge points, including algebraic equations, geometry basics, etc. Consolidation and Improvement (30 hours): Strengthen understanding through topic-specific training, such as algebraic transformations, geometric proofs, etc. Sprint Practice (20 hours): Simulate the exam environment, complete past papers under timed conditions, and improve problem-solving speed.
Specific Tasks: Practice basic algebra problems daily (e.g., solving equations, ratio calculations), and complete 1 set of geometry problem training per week.

Grade 8 Students
Goal: Consolidate in-school knowledge, deeply study AMC 10 test points, and accumulate test-taking experience. Focus on conquering high-frequency test points such as geometric proofs, number theory models, and combinatorial counting.
Time Planning: Knowledge Reinforcement: Conduct targeted breakthroughs on weak areas, completing 10 algebraic transformation problems daily and 3 sets of geometry proof problems weekly. Past Paper Simulation: Complete 2 full past papers weekly, strictly timed at 75 minutes, and analyze the reasons for losing points on the last 5 questions.
Specific Tasks: Practice algebra problems daily, conduct geometry proof training weekly, and regularly review mistakes.

Grade 9 Students
Goal: Balance the pressure of the high school entrance exam (Zhongkao) / track transfer and competition preparation, use holidays to preview high school math courses, and build knowledge reserves for the AMC 10.
Time Planning: Before the Zhongkao: Focus on in-school knowledge, spend 30 minutes daily practicing low-to-medium difficulty AMC 10 questions. After the Zhongkao: Intensively practice, focusing on breaking through difficult areas such as summation of sequences, solid geometry, probability calculations, etc.
Specific Tasks: Before the Zhongkao, practice low-to-medium difficulty questions daily; after the Zhongkao, intensively break through high-difficulty question types. Establish a mistake notebook and review regularly.

Grade 10 Students
Goal: This is the last opportunity to take the AMC 10. Through extensive simulation and past paper training, identify weak points and carry out targeted reinforcement.
Time Planning: Mock Exam Sprint: Complete 10 high-difficulty questions daily under timed conditions to maintain a feel for the exam. You may also participate in an AMC 10 sprint class for focused and efficient review. Mistake Review: Establish a mistake notebook, regularly review high-frequency error question types, and summarize problem-solving approaches.
Specific Tasks: Complete high-difficulty questions daily under timed conditions, regularly participate in mock exams, review mistakes, and optimize problem-solving strategies.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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In-Depth Interpretation of the 2025 AMC 10 Cutoff Trends! How to Scientifically Plan Your Preparation for the 2026 AMC 10?

The 2025 AMC 10 cutoffs send a clear signal: the difficulty of the competition and the level of participants have risen in tandem, making short-term cramming strategies no longer effective. AIME qualification cutoffs: Version A: 105 points (↑3 points), Version B: 99 points (↑12 points); Global Top 1% (DHR): Stabilized at 130+ points, meaning you need to answer at least 22 questions correctly, and among questions 21–25, you must solve at least 3–4 of them. In the face of this new situation characterized by "high thresholds and intense competition," candidates for 2026 must embark on a long-term, systematic, and phased scientific preparation. This article will break down the core knowledge points of the four major AMC 10 modules, the four-stage advancement pathway, and precise problem-solving strategies for you, helping you move from foundation consolidation to top-level breakthrough.

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I. In-Depth Interpretation of the 2025 AMC 10 Cutoff Trends

Goal
Score Required
Answering Requirements
Practical Challenges
AIME Qualification (Top 2.5% Globally)
≥100–105 points
- All of first 15 questions correct
- 3 correct among questions 16–20
- Total incorrect ≤5 questions
The 2025 Version B cutoff of 99 points for qualification, but the margin for error is only 5 questions.
Global Top 5% (Honor Roll)
≈108–112 points
- ≤2 incorrect among first 20 questions
- Attempt and get 1–2 correct among questions 21–25
Requires stability on intermediate questions plus tackling some difficult questions.
Global Top 1% (Distinguished Honor Roll)
≥130 points
- ≤1 incorrect among first 20 questions
- 3–4 correct among questions 21–25
The ability to tackle difficult questions becomes the key to victory.

II. The Four Core Modules of AMC 10

The content of the AMC 10 focuses on four major areas. In recent years, the proportion of Combinatorics and Number Theory has increased, while the integration of Algebra and Geometry has deepened.

Module
Proportion
High-Frequency Topics
2025 Difficulties & Trends
Algebra
≈30%
- Quadratic equations and inequalities
- Function graphs and transformations
- Sequences (recursion/periodicity)
- Polynomial factorization
More comprehensive questions combining functions and geometry (e.g., trigonometric functions + circles).
Geometry
≈25%
- Similar/congruent triangles
- Power of a Point theorem, Ptolemy's theorem
- Trigonometric ratios and area formulas
- Solid geometry (volume/cross-section)
Auxiliary line construction is more concealed; frequency of solid geometry problems ↑.
Number Theory
≈20%
- Prime factorization
- Modular arithmetic and congruences
- Fermat's Little Theorem
- Chinese Remainder Theorem (advanced)
Cross-topic problems combining Number Theory and Combinatorics are frequent (e.g., integer partitions + counting).
Combinatorics
≈25%
- Permutations and combinations (with constraints)
- Inclusion–Exclusion Principle
- Recurrence relation modeling
- Conditional probability and expectation
The difficulty of recurrence modeling problems has surged, requiring abstract thinking.

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III. 2026 AMC 10 Four-Stage Scientific Preparation Plan

Stage 1: Foundation Consolidation Period (From now until June 2026)

Goal: Build a complete knowledge framework and complete the leap from middle school to high school mathematical thinking.

Module
Core Tasks
Algebra
Master function graph transformations, solving quadratic inequalities, deriving general terms for arithmetic/geometric/recursive sequences.
Geometry
Proficiently add auxiliary lines (e.g., drawing altitudes, connecting midpoints, completing shapes), master the application scenarios of the Power of a Point theorem.
Number Theory
Understand the essence of modular arithmetic (a ≡ b mod m ⇔ m | (a - b)), grasp the fundamental properties of congruence.
Combinatorics
Distinguish between permutations and combinations, master the Inclusion–Exclusion Principle formula: |A∪B| = |A| + |B| − |A∩B|.

Stage 2: Ability Enhancement Period (July 2026 – August 2026)

Goal: Break through high-frequency difficult points, develop problem-solving intuition, and improve speed and accuracy.

Topic-Specific Breakthrough Checklist:

Algebra: Polynomial factorization techniques, comprehensive problems combining functions and geometry.

Geometry: Complex similarity models (e.g., "double perpendicular," "common side ratio"), solid geometry cross-section construction.

Number Theory: Solving congruence equations (e.g., 3x ≡ 1 mod 7), applying Fermat's Little Theorem (a^(p−1) ≡ 1 mod p).

Combinatorics: Recurrence modeling (e.g., staircase climbing problems), conditional probability (P(A|B) = P(A∩B)/P(B)).

Timed Training Standards:

Question Range
Time
Goal
1–10
≤15 minutes
100% accuracy, no calculation errors
11–20
≤35 minutes
Accuracy ≥80%, focus on practicing cross-module problems
21–25
≤25 minutes
Develop strategy: prioritize Combinatorics/Geometry; Number Theory difficult problems can be strategically skipped.

Stage 3: Past Paper Mock Exam Period (September 2026 – November 2026)

Goal: Adapt to the exam pace, expose knowledge blind spots, and optimize time allocation.

Complete 1–2 full past paper mock exams per week (2021–2025 papers), strictly timed at 75 minutes.

Spend double the exam time on review: record the time spent on each question to identify "time sinks"; categorize mistakes: knowledge gaps? calculation errors? misreading of the problem? Return to topic-specific training to address weak areas.

Stage 4: Sprint and Adjustment Period (December 2026 – Before the Exam)

Goal: Solidify answering strategies, enhance stress resistance, and ensure peak performance.

Develop a personalized schedule:
0–15 min: Complete questions 1–10 (review once before turning the page)
15–50 min: Tackle questions 11–20 (mark uncertain questions)
50–75 min: Focus on questions 21–25 (start with those you have a clue about).

Establish a checklist:
Are the units consistent? (e.g., cm vs m)
Are you answering the question asked? (e.g., calculating area but being asked for perimeter)
Did you bubble in the answer sheet correctly?

For more information about AMC 10/12 competition courses, please contact us.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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Why is the AMC 10 Competition So Valuable? How to Efficiently Use Past Papers for AMC 10 Preparation?

The AMC 10 has long surpassed the scope of "a math exam" and has become an important global benchmark for measuring the mathematical potential and academic rigor of middle school students. Its value is reflected in three major dimensions: international admissions, domestic selection, and skill development, and it continues to grow year by year.

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I. Three Core Dimensions of AMC 10 Value

1. Official Recognition by Top Global Universities

MIT, Stanford, Caltech, Carnegie Mellon, etc., have dedicated fields for entering AMC/AIME scores in their undergraduate application systems. Admissions officers view scoring in the top 2.5% of AMC 10 (approximately 120+ points) or achieving AIME qualification as:

Hard evidence of mathematical talent

Demonstration of independent learning and stress management abilities

Predictive indicator for success in advanced STEM courses

2. High Regard from UK G5 Universities

Oxford, Cambridge, Imperial College London, when admitting students to majors in Mathematics, Computer Science, Engineering, etc.:

Use AMC 10/12 scores as strong supporting evidence for the Personal Statement (PS)

High-scoring students are often asked about their competition problem-solving approaches in interviews, showcasing their depth of logic

3. A Tool for "Snatching Up" Students by Top Domestic Middle Schools and Universities

Elite schools such as RDFZ, Shanghai High School, Shenzhen Middle School, and No.1 Middle School Affiliated to CCNU:

Use high AMC 10 scores (e.g., ≥120) as a basis for waiving written exams, adding interview bonus points, or giving priority admission in selections for Technology Talents, Qiuzhen (Yau) Science Classes, and the Strong Base Program

Some international departments list AMC 10 Honor Roll as a criterion for scholarship assessment

II. Three Key Reminders for AMC 10 Preparation

1. Calculation Ability is the Foundation

Calculators are not allowed in the AMC 10; all calculations must be done by hand. Common point-loss areas include: sign errors, mistakes in simplifying fractions, and carelessness with squares and square roots. It is recommended to do 10 speed calculation problems daily (such as factoring and simplifying radicals) to improve accuracy and speed.

2. Methods > Quantity of Problems Solved

The last 5 questions (21–25) are rarely solved by "routine" methods; they require flexible use of:

Constructive methods (e.g., constructing counterexamples, auxiliary functions)

Case analysis (especially in combinatorics and number theory)

Reverse thinking (backtracking from answer choices, testing extreme cases)

Avoid blind problem-solving: focus on summarizing "general solutions for a class of problems."

3. Seek Professional Guidance Reasonably

Self-study can easily lead to "knowledge blind spots" or "inefficient repetition." A good coach can help by:

Organizing the unique problem-solving models of AMC 10 (e.g., "simplifying with symmetry," "reducing dimensions with modular arithmetic")

Pinpointing weak modules

Simulating the real exam rhythm and pressure

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III. Efficient Past Paper Practice Strategies for AMC 10

Version A vs. Version B: How to Choose?

Version
Characteristics
Suitable For
Version A
• Emphasizes application of foundational knowledge
• More "straightforward" questions
• Slightly larger calculation load
Average foundation, first-time participants
Version B
• More flexible and abstract
• Some questions require deep reasoning
• Stronger leaps in thinking
Aiming for high scores, those with competition experience

Suggestion: Start with Version A for a baseline assessment, then use Version B to challenge your thinking limits.

Four-Step Scientific Practice Method

Step 1: Full Mock Exam (Start in Winter Break)

Choose past papers from the last 5 years (e.g., 2021–2025), strictly timed to 75 minutes. Purpose: Understand the true difficulty, expose knowledge gaps, and develop a personalized plan.

Step 2: Module-Specific Intensive Practice

Categorize past papers into seven modules for targeted training:

Algebra → Focus on polynomials, function graphs

Geometry → Strengthen auxiliary lines, area methods

Number Theory → Break through congruences, factor analysis

Combinatorics → Master addition/multiplication principles, path counting

Step 3: Summarize Question Patterns

Statistics on high-frequency topics from the last 10 years:

Module
High-Frequency Question Types
Algebra
Extrema of quadratic functions, integer solutions of equations
Geometry
Similar triangles, power of a point theorem
Number Theory
Prime factorization, last digits
Combinatorics
Coloring problems, recurrence relations

Organize solution templates: e.g., "Combinatorics → Step-by-step analysis → Enumerate boundaries → Verify."

Step 4: Closed-Loop Mistake Management

Create a digital or paper mistake notebook, recording:

Cause of error (calculation? reasoning? misreading?)

Correct solution + key techniques

Links to similar problems

Re-do the mistake questions weekly. Remove them from the notebook only after two consecutive correct attempts, ensuring thorough mastery.

For more information about AMC 10/12 competition courses, please contact us.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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A Panoramic Map of High-Frequency AMC 10 Math Competition Topics! How Long Do Students with Different Award Goals and Foundations Need to Prepare for the AMC 10?

As one of the most influential high school math competitions globally, the AMC 10 is known for its broad coverage, strong gradient, and deep thinking requirements. To secure a high score within the 75-minute time limit, you must accurately master the distribution of high-frequency topics and develop a personalized preparation timeline based on your foundation and target score.

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I. Detailed Explanation of High-Frequency AMC 10 Topics (by Module)

The AMC 10 consists of 25 questions with a stepwise difficulty increase: Questions 1–10: Basic Questions (curriculum extensions), Questions 11–20: Intermediate Questions (requiring technique and synthesis), Questions 21–25: Difficult Questions (competition-level thinking, often testing number theory/combinatorics). The following are the seven core modules and their key test points, based on an analysis of past five years' past papers:

1. Comprehensive Algebra
Core content: Quadratic functions, equations and inequalities, sequences, polynomials, multiplication formulas, and identity transformations.
High-frequency difficulties: Polynomial divisibility problems; simplification of symmetric expressions; substitution methods; constructing equations.
Advice: At least 6–8 questions in the first 15 are from algebra—key to securing your score!

2. Functions and Coordinate Geometry
Core content: Properties of linear/quadratic function graphs; equations of circles; coordinate transformations; area calculation of polygons.
Problem-solving tools: Shoelace formula (quickly calculates the area of any polygon); Pick's theorem (area of lattice polygon A = I + B/2 - 1).
Note: Function questions are often combined with geometry and appear in the 16–22 question range.

3. Comprehensive Plane Geometry
Core content: Triangles, quadrilaterals and polygons, trigonometric functions.
Area methods: Partition-complement method, equal-area transformation, common side theorem.
Key skills: Drawing auxiliary lines (e.g., altitudes, midpoints, constructing similar shapes); recognizing hidden conditions (e.g., "isosceles triangle," "right angle").
Tip: Geometry questions often appear in the 10–20 range and are key for differentiating scores in the middle segment.

4. Circles and Solid Geometry
Core content: Circle properties: inscribed angles, chord-tangent angles, perpendicular chord theorem, intersecting chords theorem; Solid geometry: Volume and surface area of rectangular prisms, prisms, cylinders, cones; Euler's formula (V - E + F = 2, occasionally seen in challenging problems).
Difficulties: Spatial visualization ability (especially for solid net diagrams); multiple points concyclic on a circle; angle transformation.
Trend: In recent years, circle problems have placed greater emphasis on comprehensive application, often combining trigonometry and algebra.

5. Combinatorics
Core content: Addition principle and multiplication principle; permutations (ordered) vs. combinations (unordered); special models: path counting, coloring problems, round-robin tournament systems.
Common errors: Double counting or omissions; considering order or not (e.g., "select 3 people to form a team" vs. "select 3 people to sit in a row").
Techniques: Drawing tree diagrams, case analysis, reverse exclusion (inclusion–exclusion principle).

6. Probability and Statistics
Core content: Classical probability (equally likely events); geometric probability (ratio of length/area/volume); conditional probability ("given that… find…" type problems); expected value (occasionally seen in recent years).
High-frequency scenarios: Rolling dice, drawing cards, random walks, game outcomes.
Key point: Conditional probability is a frequent guest in difficult problems (e.g., 2023 AMC 10B Question 24).

7. Number Theory
Core content: Divisibility, congruences, digit problems, parity, floor function [x], defined new operations.
Typical position: Appears frequently in questions 21–25, key to distinguishing the top 1%!
Difficulty: Requires flexible problem transformation (e.g., converting "last two digits are the same" to a congruence modulo 100 problem).

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II. How Long Does It Take to Prepare for the AMC 10? – Planning Based on Foundation and Target Score

Student Type
Math Foundation Characteristics
Recommended Preparation Cycle
Core Tasks
Weak Foundation
No systematic junior high competition training; high school algebra/geometry not completed
6–12 months
1. Supplement core junior high competition topics (number theory/combinatorics)
2. Complete high school compulsory 1–2
3. Begin AMC 10 topic-specific training
Average Foundation
Completed high school curriculum; some competition exposure
3–6 months
1. Strengthen the four major AMC 10 modules
2. Categorized practice with past papers (focus on questions 1–20)
3. Build problem-solving templates
Solid Foundation
Award in AMC 8/junior high league competition; comprehensive high school knowledge
1–3 months
1. Focus on difficult questions 21–25
2. Summarize high-frequency techniques (e.g., symmetry, extreme principle)
3. Timed mock exams to maintain proficiency

Preparation Depth Based on Target Score

Target
Score Range
Required Ability
Recommended Cycle
Experience Participation
70–90 points
Master the first 15 basic questions
1–3 months
Top 25% (AIME Threshold)
95–110 points
Stably complete the first 20 questions, some of questions 21–23
3–6 months
Top 5% (Honor Roll)
≥120 points
Comprehensive mastery of all modules, ability to solve questions 24–25
6–12 months
Top 1% (Distinguished Honor Roll)
≥135 points
Competition-level thinking, high speed and accuracy
8–12+ months of long-term accumulation

For more information about AMC 10/12 competition courses, please contact us.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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What AMC 10 Score Is Useful for College Applications? The Importance of AMC 10 for International Students? How to Choose Between Versions A and B?

The AMC 10, one of the world's most influential youth math competitions, is not only a key benchmark for assessing students' mathematical abilities but also a crucial factor in applying to top universities, international schools, and securing scholarships. So, what scores are needed to stand out for different goals? The following will provide a detailed analysis from multiple perspectives.

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I. AMC 10 Score Requirements for Different Award Goals

1. Applying to U.S. Top 30 Universities

Suggested Score: 120+ points. Top institutions like MIT and Stanford prefer students with AMC 10 scores of 135 or higher. Scoring in the top 2.5% (approximately 120+ points) or achieving AIME qualification is considered a significant academic achievement that can greatly enhance application competitiveness.

2. Planning to Apply for Mathematics/Computer Science Majors

Suggested Score: 130+ points. Mathematics and computer science majors are highly competitive; high scores better demonstrate students' logical thinking and problem-solving abilities. DHR (Distinguished Honor Roll, top 1% globally) typically requires 130+ points, proving both academic strength and the ability to handle complex problems.

3. Applying for Scholarships

Suggested Score: 140+ points. A high score (e.g., 140+) is a significant criterion for receiving full or merit-based scholarships. A score at this level indicates that the student possesses top-tier mathematical literacy and innovation skills, enabling them to stand out globally.

4. Applying to International Schools

Suggested Score: 110+ points. Many international schools (e.g., Beijing Keystone Academy) explicitly state that IBDP applicants with AMC 10 scores ≥ 110 can be exempted from math placement tests and directly enter advanced courses. Entrance exams for schools like Shanghai Guanghua Cambridge and Shenghua Zizhu often include original AMC 10 questions; thus, preparing for AMC 10 helps students become familiar with the style of these admission tests.

II. The Importance of AMC 10 for International Students

1. Alignment with International School Entrance Exams

High Consistency: The question types and difficulty levels of the AMC 10 are highly consistent with the entrance exams of international schools. Examples: Question 9 on the 2023 entrance exam of Shanghai Guanghua Cambridge was exactly the same as Question 19 on the 2023 AMC 10B; 50% of the math questions in Shenghua Zizhu's spring admissions test were original AMC 10 competition problems.

2. Assisting with IB/AL/AP Exam Preparation

High Content Overlap: The knowledge points tested in AMC 10 heavily overlap with the math sections of mainstream international curricula such as IB, AP, and A-Level. Students in grades 6-9 can build a solid foundation by preparing for AMC 10 in advance, clearing obstacles for future in-depth learning. Grade 10 students can use AMC 10 to sharpen their mathematical logic and problem-solving skills, supporting their progress in international coursework.

3. Boosting Applications to Top U.S. and U.K. Universities

Widely Recognized: Prestigious universities such as MIT, Stanford, and Columbia University have dedicated fields for entering AMC 10 scores in their application systems. A top 1% (DHR) score can help students stand out among a sea of applicants and increase their chances of admission.

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III. AMC 10 Version A vs. Version B: How to Choose?

1. Overview

Versions A and B: The questions are different, and the exams are held about a week apart. However, the overall difficulty is similar, and the knowledge scope is the same, with only slight differences in focus and style. Score cutoffs are calculated independently, so choosing either version will not put you at a disadvantage in terms of ranking.

2. Specific Differences

Version
Characteristics
Suitable For
Version A
• More "stable," suitable for students with a solid foundation
• Basic questions are more direct; cutoffs are typically lower
Students aiming to securely qualify for AIME, or those who want a high score without taking too many risks
Version B
• More "flexible," demands higher creative thinking
• Contains more innovative question types in number theory and combinatorics
Students aiming for a very high score or DHR (top 5% globally), with prior competition experience and flexible thinking

3. Version Selection Strategies

Securely Qualifying for AIME: Prioritize Version A, or take both versions A and B. Version A's basic questions are more direct, and the cutoffs are typically lower, making it more favorable for students with a solid foundation. Taking both versions allows you to use your highest score as your final result, significantly increasing your chances of qualification.

Aiming for a Very High Score or DHR: Prioritize Version B. Version B has greater score differentiation; its innovative questions in number theory and combinatorics better showcase strengths, making it easier to stand out in the high-score range.

Transitioning to AMC 12 or Long-Term Preparation: Take Version A for AMC 10 and Version B for AMC 12. If you have a solid foundation, you can use the one-week gap between the two versions to consolidate your AMC 10 basics with Version A, then challenge AMC 12 difficulty. This allows you to secure a strong AMC 10 score while also getting an early taste of higher-level competition pacing.

AMC10 Preparation Courses

Our instructors are graduates from top global universities. With precise curriculum planning and comprehensive learning tracking, we ensure your score improvement and award-winning success!

Class Type Hours Class Size Start Date
Winter Break Class 30H 3–8 students Consult teacher for details
Systematic Course 20H 1v1 / 3–8 students Consult teacher for details
Problem-Solving Class 20H 1v1 / 3–8 students Consult teacher for details

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What Are the Main Differences Between AMC10 Version A and Version B? How Long Does an Average Student Need to Prepare for AMC10 to Win an Award? AMC10 Module-Specific Breakthrough Tips & Answering Strategies!

The AMC10 Math Competition not only assesses students' breadth of mathematical knowledge but also tests their problem-solving speed and depth of thinking. Through scientific planning and systematic preparation, even average students can achieve excellent results in this high-level competition.

I. Main Differences Between AMC10 Version A and Version B

1. Different Exam Dates

Version A: November 6, 2025 (Thursday) 17:00-18:15 (75 minutes)

Version B: November 14, 2025 (Friday) 17:00-18:15 (75 minutes)

Typically, the AMC10 Version A exam is held about one week earlier than Version B.

2. Slight Differences in Knowledge Point Proportions

Although both versions cover roughly the same knowledge points—Algebra, Geometry, Combinatorics, and Number Theory—their emphases differ. Version A focuses more on mathematical applications and computational problem-solving, while Version B places greater emphasis on a balanced assessment across various mathematical areas.

3. Different Cutoff Scores

The cutoff scores for advancing to AIME do not differ much between Version A and Version B. However, for the top 1% cutoff, there may be significant fluctuations between the two versions.

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II. How to Choose Between Version A and Version B?

Take Both Versions: If time permits, it is recommended that students take both the A and B versions. This not only increases the chances of winning an award but also allows you to better prepare for the second exam using the experience gained from the first.

Can Only Take One Exam: It is recommended to register for Version B. This way, after Version A is completed, you can use the actual past paper to familiarize yourself with the question types, thereby increasing your chances of achieving a high score on Version B.

III. How Long Does an Average Student Need to Prepare for AMC10 to Win an Award?

Based on different foundational levels, average students can refer to the following timeline to prepare for AMC10 and gradually improve to reach their award goals.

January to May (Foundation Period)

For students with no prior experience or a weaker foundation, this is a critical period to systematically master the core knowledge points of AMC10. Lower-grade students, in particular, need to supplement and solidify their foundational knowledge.

Goal: Solve over 1,000 foundational problems and establish a mistake notebook.

June to August (Intensive Period)

After mastering the basics, you need to flexibly apply this knowledge to solve complex problems. Achieve this by working through a large number of problems, promptly organizing mistakes, and repeatedly tackling weak areas.

Goal: Work through past papers from 2018 to 2025, summarize problem-solving models, and conquer intermediate-level questions.

September to November (Sprint Period)

This is the final sprint phase. Focus on breaking through key and difficult points, reviewing and organizing knowledge, and repeatedly training on mistakes. Additionally, do not neglect mock exams and time management training.

Goal: Conduct 1-2 full mock exams per week and optimize time allocation.

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IV. Preparation Tips

Foundation Period: Systematically learn the four major modules, solve over 1,000 foundational problems, and establish a mistake notebook.

Intensive Period: Work through recent years' past papers, summarize problem-solving models, and conquer intermediate-level questions.

Sprint Period: In the two weeks before the exam, review mistakes, focus on techniques for the final challenging questions, and adjust your answering pace.

V. Competition Module-Specific Breakthrough Tips

Algebra: Master polynomial transformations, Vieta's formulas, mean inequalities, etc. Improve speed in calculation and symbolic derivation.

Geometry: Deeply understand the Power of a Point theorem, similar triangles, solid geometry sections and volume calculations, etc. Practice constructing auxiliary lines.

Number Theory: Strengthen understanding of modular arithmetic and congruences. Master factorization and recursive thinking. Avoid missing cases when using casework.

Combinatorics: Proficiently use the Inclusion–Exclusion Principle and probability modeling. Use extremal principles and recursion to solve complex counting problems.

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VI. Answering Strategies

Easy First, Hard Later: Don't dwell on difficult questions; ensure you score points on easy and intermediate-level questions.

Organize Scratch Paper by Sections: Keep steps clear for easy review. For geometry problems, draw diagrams to aid thinking. For number theory problems, first try small numbers to find patterns.

AMC10 Tutoring Courses

Our instructors are graduates of top universities worldwide, providing precise curriculum planning and full-course learning tracking to ensure you improve and win awards!

Class Type
Hours
Class Size
Start Date
Winter Break Class
30H
3–8 students
Consult teacher for details
Systematic Course
20H
1v1 / 3–8 student class
Consult teacher for details
Problem-Solving Class
20H
1v1 / 3–8 student class
Consult teacher for details

For more information about AMC10/12 competition courses, please contact us.

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