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AMC 10 Past Papers & Solutions — Free PDF

2000-2025 AMC 10 · Papers A/B with Answer Keys

Exclusively compiled 2000-2025 AMC 10 Papers A/B with answer keys, organized by year, topic breakdown and format specs. Scan for full papers, answer keys and step-by-step solutions — for timed practice and AIME cut-off prep.

  • 2000-2025 All Years
  • Papers A & B
  • Answer Keys
  • Step-by-step
Hanlin Student Achievements
  • USACO: 5 Platinum, 22 Gold and 25 Silver, with 5 students advancing with full marks!
  • HiMCM 2025: Outstanding 1, Finalist 3, Meritorious 3
AMC Honor Roll · 300+ students advanced
  • AMC8: DHR 103, HR 96
  • AMC10/12: 379 advanced to AIME, 5 perfect scores, 35 scored 140+, 165 in global TOP 5%, 13 in global TOP 1%
  • AIME: 42 scored 10+, 1 perfect score, 6 advanced to USA(J)MO
Contact advisor for more results

About AMC 10

The American Mathematics Competition (AMC) is organized by the Mathematical Association of America (MAA). Originating in 1950, it now draws over 300,000 students from more than 6,000 schools worldwide each year.

AMC is a series of contests — AMC 8, AMC 10, AMC 12, and AIME — that identify top performers for the USA Mathematical Olympiad (USAMO). Roughly 24–30 elites are then selected for the Mathematical Olympiad Summer Program (MOSP), where six team members are chosen for the IMO.

AMC 10 is designed for students in grade 10 and below (and under 17.5 years old on the test day). Held every November, it offers Paper A and Paper B — comparable in difficulty; students may take either or both, with the higher score counting.

1950
Established
Organized by MAA
6000+
Schools
Across six continents
300K
Participants
Among the largest worldwide

Highlights

Why tens of thousands of students worldwide choose AMC 10 — a contest widely recognized by top universities.

Authoritative
Organized by MAA, one of the world's most influential secondary math contests.
Globally Recognized
Results are widely trusted by leading universities as evidence of academic ability.
Advancement Path
Top performers advance to AIME and USAMO, toward the IMO.

AMC 10 Competition Detail

Key information on AMC 10: eligibility, format, fees, scoring and scope.

Eligibility
Grade 10 and below; under 17.5 years old on test day
Format
Offline exam, bilingual (English & Chinese)
Questions
25 multiple-choice questions
Duration
75 minutes
Fee
RMB 120 / paper (Papers A & B registered and paid separately)
Scoring
Correct +6, blank +1.5, wrong 0; max 150

Papers A & B

Papers A and B are comparable in difficulty and scope. Students may take either, or both — the higher score is used for awards and AIME qualification. Taking both is recommended for an extra attempt.

Scope

Coverage includes but is not limited to:

Basic arithmetic (ratios, work-rate, travel)Functions (linear, quadratic, rational) & coordinatesEquations & inequalitiesParallel & similar figuresTriangles, quadrilaterals & basic circlesNumber theory (divisibility, congruence)Combinatorics & logic

Qualification & Awards

AMC 10 is both an honor stage and the pathway to AIME and USAMO.

AIME Qualification

Threshold
Global top ~2.5% (recent cut-off ~95–105)
Recent cut-offs
Floats yearly; 2025 Paper A 105, Paper B 99.
Outcome
Students meeting the cut-off are invited to AIME (American Invitational Mathematics Examination).

Global Individual Awards (by rank)

  • Perfect Score All correct, full 150 points
  • Honor Roll of Distinction Global top 1%
  • Distinction Global top 5%
  • Honor Roll (Top 10%) Global top 10%
  • Honor Roll (Top 25%) Global top 25%

Global Individual Awards (by age / score)

  • Achievement Roll Grade 8 and below, scoring 90+

School Team Awards

  • School Honor Roll Top 3 students' total ≥ 400
  • School Merit Roll Top 3 students' total 300–399

Note: AMC 10 has Papers A and B of comparable difficulty; the higher score is used for awards and qualification.

How to Use Past Papers

Four steps · Preview / Download / Check / Analyze

  1. Pick a Year

    Choose your target year from “Past Papers” to open that year’s A/B papers & answers page.

  2. Download or Preview

    Preview online or download the paper PDF and attempt it under the 75-minute limit.

  3. Check Answers

    Compare against the answer key, tally your score and mistakes, and find weak topics.

  4. Analyze & Improve

    Scan for step-by-step solutions and targeted drills; fix mistakes and push for the AIME cut-off.

Past Papers

2000–2025 AMC 10 past papers (Papers A/B with answer keys) + 2026 predicted topics, archived by year.

All archived years above — click for that year's papers and answers. Scan for other years or papers. Consult ›

AMC 10 Exclusive Bonus Materials

12 exclusive AMC 10 prep bonus materials curated by Hanlin — textbooks, categorized question banks, formula sheets, vocabulary lists and classic olympiad titles. Scan to get them all at once.

AMC10 5 Textbooks + 1 Workbook

AMC10 5 Textbooks + 1 Workbook

Systematically covers all AMC10 topics, with a workbook for targeted practice.

AMC10: Beginner to Award (Recommended)

AMC10: Beginner to Award (Recommended)

A complete path from zero to award, staged by difficulty.

AMC10 Formula Sheet

AMC10 Formula Sheet

Quick-reference for all key AMC10 formulas; essential for mock exams and review.

AMC10 Categorized Question Bank

AMC10 Categorized Question Bank

Past problems sorted by Algebra / Geometry / Number Theory / Combinatorics for targeted drills.

AMC10 Vocabulary List

AMC10 Vocabulary List

An English contest terminology glossary to help you read questions smoothly.

AMC Olympiad Book

AMC Olympiad Book

A classic AMC olympiad textbook; build a solid competition foundation.

First Step to the Math Olympiad

First Step to the Math Olympiad

A classic entry to olympiad math; builds competition thinking and methods.

AOPS 2012-2020 AMC10 Hard Problems

AOPS 2012-2020 AMC10 Hard Problems

AOPS-selected hard AMC10 problems from recent years, with step-by-step solutions.

AOPS Series

AOPS Series

The Art of Problem Solving classic series — the authoritative competition prep curriculum.

Mastering AMC 10/12

Mastering AMC 10/12

Systematic notes targeting high-frequency AMC10/12 topics and techniques.

The Book of Mathematical Formulas & Strategies

The Book of Mathematical Formulas & Strategies

A master collection of formulas and problem-solving strategies for competition and beyond.

International Math Competition Tutoring (Advanced)

International Math Competition Tutoring (Advanced)

Advanced competition notes for pushing toward AIME and USAMO.

FAQ

Common questions on past papers, answers and usage. For anything else, contact us.

This site archives 26 years of AMC 10 papers, 2000–2025. From 2002 each year has Papers A and B; 2000-2001 have Paper A only — 50 papers in total.
Yes. From 2002 both papers are archived each year, each with its answers. The two are comparable in difficulty; doing both gives more practice.
Yes. A/B answer keys are compiled each year — scan for the answer-key set and step-by-step solutions to check scores and review mistakes.
Take timed mock exams (75 min), check answers, tally mistakes, and drill weak topics. For the AIME cut-off, add 1-on-1 coaching — scan for a custom plan.
The two papers are comparable in difficulty and scope, differing only in date and specific questions. You may take either or both; the higher score is used for awards and AIME qualification.

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