AMC10 数学竞赛
PDF版历年真题及解析AMC10 Math Competition
Past Papers & Solutions
覆盖 2000 — 2025 年全部 26 年真题，25 题逐题详细解析，PDF 高清排版免费下载，助力冲刺 AIME QualificationComplete coverage of all 26 AMC10 exams from 2000-2025, 25 questions with detailed solutions, free PDF download.
扫码免费领取AMC10全部26年PDF版真题+答案Scan to get all 26 years of AMC10 PDF papers + solutions free
AMC10 考试简介About AMC 10
AMC 10（American Mathematics Competitions 10）由AMC 10 (American Mathematics Competitions 10) is hosted by美国数学协会 MAAMAA 主办，是全球最具影响力的高中数学竞赛之一，自 2000 年创办至今，每年吸引超过 30 个国家、数十万名学生参加, one of the worlds most influential high school math competitions, running since 2000 with hundreds of thousands of students from 30+ countries annually
✍ 考试形式Format
- 共 25 道选择题（A/B/C/D/E 五选一）25 multiple-choice questions (A/B/C/D/E)
- 考试时长 75 分钟40 minutes duration
- 答对 6 分·不答 1.5 分·答错 0 分，满分 150 分，答错不扣分1 point each, max 25, no penalty for wrong answers
- 不允许使用计算器No calculator allowed
- 自 2020 年起提供中英双语试卷Bilingual CN/EN papers since 2020
- 适合 10 年级及以下及以下学生参加For grade 8 and below
📚 考试范围Topics
- 代数：整数运算、分数小数、方程与不等式、函数图像Algebra: arithmetic, fractions, equations, inequalities, graphs
- 几何：角度与三角形、面积与体积、坐标几何、毕达哥拉斯定理Geometry: angles, triangles, area, volume, coordinates, Pythagorean theorem
- 数论：整除性、质因数分解、GCD/LCM、同余Number Theory: divisibility, prime factorization, GCD/LCM, congruence
- 组合：排列组合、概率统计、逻辑推理、计数原理Combinatorics: counting, probability, logic, counting principles
🏆 奖项设置Awards
- AIME Qualification (DHR)：全球前 2.5%AIME Qualification (DHR): Top 2.5% globally
- Honor Roll (HR)：全球前 5%Honor Roll (HR): Top 5% globally
- Achievement Roll (AR)：6 年级及以下获得 15 分以上Achievement Roll (AR): Grade 6 and below, 15+ points
- School Honor Roll：学校团体前 3 名均分达标School Honor Roll: Top 3 team average
- School Merit Roll：学校团体均分达标School Merit Roll: Team average met
- 每年分数线根据全球考生表现浮动Cutoffs vary yearly based on global performance
历年 DHR / HR 分数线参考Historical DHR / HR Cutoffs
了解目标分数，精准备考方向Know your target score, plan your preparation
AIME Qualification
近年分数线通常在 21 — 23 分之间。2025 年 DHR 分数线为 22 分，2024 年为 22 分。获得此奖项代表全球顶尖水平，对申请海外名校极具竞争力。Recent cutoffs range 21-23. 2025 DHR was 22, 2024 was 22. Represents world-class performance, highly competitive for top universities.
Honor Roll
近年分数线通常在 17 — 19 分之间。2025 年 HR 分数线为 19 分，2024 年为 18 分。代表优秀数学能力，是大多数考生的核心目标。Recent cutoffs range 17-19. 2025 HR was 19, 2024 was 18. Represents strong math ability, a core goal for most students.
Achievement Roll
专为低龄考生设立的荣誉奖项。6 年级及以下学生只需获得 15 分即可获奖，鼓励低年级学生尽早接触竞赛数学。Honor award for younger students. Grade 6 and below need only 15 points to earn this award, encouraging early engagement with competition math.
AMC10 历年真题（2000 — 2025）AMC10 Past Papers (2000 — 2025)
覆盖全部 26 年真题，点击卡片进入对应年份详情页查看真题示例与解析All 26 years covered — click a card to view exam details and solutions
2000-2020 往年真题也已上线！2000-2020 earlier papers also available!
全部 26 年真题均有独立详情页，点击下方可查看往年真题汇总All 26 years have dedicated pages — click below to view the archive
全部年份导航All Years Navigation
点击任意年份进入详情页Click any year to view details
AMC10 备考资源中心AMC10 Resources Hub
AMC10 备赛资料一站式集齐：从备赛书单到分类题库，从知识点整理到必备公式与核心词汇，助力系统备考、冲刺 AIME 晋级。One-stop AMC10 prep resources: book list, classified problem bank, key topics, formulas and vocabulary.
备赛书单Book List
OmegaLearn/AoPS/Preparation/Challenging 等 AMC10 备赛书目Curated AMC10 prep books
查看书单 →View →真题使用指南How to Use Past Papers
科学使用历年真题备考 AMC10，效率翻倍Use past papers strategically to double your prep efficiency
备考时间规划Study Timeline +
根据距考试剩余时间，选择最适合的备考节奏：Choose the best study pace based on time remaining:
- 3 个月系统备考：第 1 个月按考点分类刷真题（代数→几何→数论→组合），第 2 个月按年份套卷练习，第 3 个月模拟冲刺 + 查漏补缺3-Month Systematic: Month 1 topic-based papers, Month 2 year-based sets, Month 3 mock exams + fill gaps
- 1 个月强化冲刺：前 2 周集中攻克高频考点（分数运算、面积比、排列组合），后 2 周每天 1 套年份真题 + 当日复盘1-Month Intensive: First 2 weeks high-frequency topics, last 2 weeks daily papers + same-day review
- 1 周速成复习：优先刷近 5 年真题（2021-2025），每天 2 套限时模拟，重点整理反复出错的题型1-Week Cram: Focus on last 5 years (2021-2025), 2 timed mocks daily, review recurring mistakes
真题刷题顺序Practice Order +
不同阶段采用不同刷题策略，效果最大化：Different strategies at different stages for maximum effect:
- 基础阶段（按考点刷）：先按代数、几何、数论、组合四大模块分类练习，建立知识框架，推荐搭配「高频考点汇总」使用Foundation (by topic): Practice by algebra, geometry, number theory, combinatorics to build frameworks, pair with Key Topics guide
- 强化阶段（按年份刷）：从最新年份往回刷（2025→2020→2015→…），优先熟悉近年出题风格与难度趋势Strengthening (by year): Start from newest (2025→2020→2015→…), prioritize recent exam style and difficulty
- 冲刺阶段（混合刷）：随机抽取年份套卷，锻炼在不同考点间快速切换的能力，模拟真实考试的不确定性Sprint (mixed): Random year papers, practice switching between topics, simulate real exam unpredictability
模拟实战训练Mock Exam Training +
严格按照真实考试条件进行全真模拟：Strictly simulate real exam conditions:
- 限时 75 分钟：AMC10 共 25 题，平均每题 1.6 分钟。前 15 题控制在 20 分钟内完成，为后 10 题留出充足时间40-min limit: 25 questions, ~1.6 min each. Finish first 15 in 20 min, leaving time for last 10
- 答题节奏训练：遇到卡壳超过 2 分钟的题目标记跳过，先确保拿稳分，最后回头攻克Pacing: Skip questions stuck for 2+ min, secure easy points first, return later
- 涂卡习惯养成：建议每做完 5 题涂一次答题卡，避免最后集中涂卡出错；全程不查资料、不用计算器Answer sheet: Fill every 5 questions to avoid end-of-exam errors; no references or calculator allowed
错题复盘策略Error Review Strategy +
高效利用错题实现螺旋式提升：Use errors efficiently for spiral improvement:
- 分类归因：将错题按「概念不清」「计算失误」「审题遗漏」「方法不当」四类标注，找到最薄弱的环节Categorize: Tag errors as concept/calculation/reading/method issues to find weakest areas
- 考点回溯：每道错题追溯对应的知识点与公式，配合「核心公式速查表」巩固基础，确保同类题不再出错Trace back: Link each error to concepts and formulas, use Formula Sheet to reinforce foundations
- 间隔复习法：错题第 1 天复盘 → 第 3 天重做 → 第 7 天再检验，连续 3 次正确即可从错题本中移除Spaced review: Review Day 1 → Redo Day 3 → Test Day 7; remove after 3 consecutive correct attempts
免费领取 AMC10
全部 26 年真题 + 解析+备赛干货Get All AMC10 Papers
26 Years + Solutions + Prep Materials Free
- 26 年完整真题（700+ 道题目）26 years complete papers (700+ questions)
- 答案+解析Answers + Solutions
- 考点分类标注（四大模块）Topic categorization (4 modules)
- 难度三级标注3-level difficulty tags
- 高频考点总结（大数据统计）High-frequency topics (data-driven)
- 备考规划指导（定制方案）Study plan guidance (customized)