AMC8 Math Competition
Past Papers & Solutions
Complete coverage of all 28 AMC8 exams from 1999-2026, 12 sample questions with detailed solutions, free PDF download.
Scan to get all 28 years of AMC8 PDF papers + solutions free
About AMC 8
AMC 8 (American Mathematics Competitions 8) is hosted byMAA, one of the worlds most influential middle school math competitions, running since 1985 with hundreds of thousands of students from 30+ countries annually
✍ Format
- 25 multiple-choice questions (A/B/C/D/E)
- 40 minutes duration
- 1 point each, max 25, no penalty for wrong answers
- No calculator allowed
- Bilingual CN/EN papers since 2020
- For grade 8 and below
📚 Topics
- Algebra: arithmetic, fractions, equations, inequalities, graphs
- Geometry: angles, triangles, area, volume, coordinates, Pythagorean theorem
- Number Theory: divisibility, prime factorization, GCD/LCM, congruence
- Combinatorics: counting, probability, logic, counting principles
🏆 Awards
- Distinguished Honor Roll (DHR): Top 1% globally
- Honor Roll (HR): Top 5% globally
- Achievement Roll (AR): Grade 6 and below, 15+ points
- School Honor Roll: Top 3 team average
- School Merit Roll: Team average met
- Cutoffs vary yearly based on global performance
Historical DHR / HR Cutoffs
Know your target score, plan your preparation
Distinguished Honor Roll
Recent cutoffs range 21-23. 2025 DHR was 22, 2024 was 22. Represents outstanding performance, highly competitive for top universities.
Honor Roll
Recent cutoffs range 17-19. 2025 HR was 19, 2024 was 18. Represents strong math ability, a core goal for most students.
Achievement Roll
Honor award for younger students. Grade 6 and below need only 15 points to earn this award, encouraging early engagement with competition math.
AMC8 Past Papers (1999 — 2026)
All 28 years covered — click a card to view exam details and solutions
1999-2016 earlier papers also available!
All 28 years have dedicated pages — click below to view the archive
All Years Navigation
Click any year to view details
AMC8 Study Resources
From beginner textbooks to cram sheets, vocabulary to formulas — 13 curated resources in one place
23 AoPS Introduction Series
Classic AMC prep textbook series covering algebra, geometry, number theory, and combinatorics with the deepest theoretical coverage
AMC8 Preparation Series
Beginner-friendly AMC8 prep textbook, step-by-step core concepts and methods, ideal for starters
AMC Mastering
omegalearn.org recommended textbook, systematic coverage of AMC8 scope with realistic difficulty
AMC Olympiad Math Book
Competition-level olympiad math textbook with advanced techniques and problem-solving methods
AMC Starter Must-Read
Essential competition prep book, bridging basic concepts to competition thinking, building frameworks fast
AMC Starter Vocabulary
Specialized math terminology glossary helping students read English math problems, removing language barriers
AMC8 Topic Bank
Past papers organized by algebra, geometry, number theory, combinatorics — targeted practice by topic
View Topics →
AMC8 Lecture Notes
Expert-curated lecture notes condensing key topics and typical examples for efficient review
AMC8 Cram Summary
Pre-exam cram sheet with all must-know concepts and high-frequency conclusions for quick score improvement
AMC8 Formula Sheet
Essential formulas and conclusions: area, volume, probability, series — quick reference for exam prep
View Formulas →
AMC8 Prep Guide (Beginner)
Complete AMC8 beginner guide covering knowledge systems, learning paths, and study plans
Purchase Required
AMC8 Glossary
AMC8 math terminology bilingual glossary, helping students adapt to English expressions in bilingual exams
View Glossary →
Intl Math Competition Coaching (Beginner)
Beginner-level international math competition coaching textbook, systematic training in competition thinking
Purchase Required · Print OnlyHow to Use Past Papers
Use past papers strategically to double your prep efficiency
Study Timeline +
Choose the best study pace based on time remaining:
- 3-Month Systematic: Month 1 topic-based papers, Month 2 year-based sets, Month 3 mock exams + fill gaps
- 1-Month Intensive: First 2 weeks high-frequency topics, last 2 weeks daily papers + same-day review
- 1-Week Cram: Focus on last 5 years (2022-2026), 2 timed mocks daily, review recurring mistakes
Practice Order +
Different strategies at different stages for maximum effect:
- Foundation (by topic): Practice by algebra, geometry, number theory, combinatorics to build frameworks, pair with Key Topics guide
- Strengthening (by year): Start from newest (2026→2020→2015→…), prioritize recent exam style and difficulty
- Sprint (mixed): Random year papers, practice switching between topics, simulate real exam unpredictability
Mock Exam Training +
Strictly simulate real exam conditions:
- 40-min limit: 25 questions, ~1.6 min each. Finish first 15 in 20 min, leaving time for last 10
- Pacing: Skip questions stuck for 2+ min, secure easy points first, return later
- Answer sheet: Fill every 5 questions to avoid end-of-exam errors; no references or calculator allowed
Error Review Strategy +
Use errors efficiently for spiral improvement:
- Categorize: Tag errors as concept/calculation/reading/method issues to find weakest areas
- Trace back: Link each error to concepts and formulas, use Formula Sheet to reinforce foundations
- Spaced review: Review Day 1 → Redo Day 3 → Test Day 7; remove after 3 consecutive correct attempts
Get All AMC8 Papers
28 Years + Solutions + Prep Materials Free
- 28 years complete papers (700+ questions)
- Answers + Solutions
- Topic categorization (4 modules)
- 3-level difficulty tags
- High-frequency topics (data-driven)
- Study plan guidance (customized)