AMC 10 Past Papers & Solutions
American Mathematics Competition 10
Every AMC 10 A and B paper with topic-tagged questions and step-by-step solutions from mentors who have coached AIME and USA(J)MO qualifiers.
- Eligibility
- Grade 10 and below (age 17.5 or under)
- Format
- 25 multiple-choice questions
- Duration
- 75 minutes
- Scoring
- 6 points correct · 1.5 points blank · 0 for incorrect (150 max)
The AMC 10 is the entry point to the USA olympiad ladder. Working through past papers under timed conditions is the single highest-return preparation activity: the question archetypes repeat year after year, and roughly the first 15 questions of every paper are pure speed and accuracy on familiar patterns. Use the archive below to build that pattern library, then work the last 10 questions slowly with full written solutions.
AMC 10 past papers and solutions by year
Every link below opens the official MAA PDF directly. Sit the paper timed, mark it against the solutions, then read the extended solutions once you have written up your own attempt.
Stuck on a AMC 10 question?
Send us the question number. A mentor who has sat and medalled in AMC 10 will reply with a step-by-step walkthrough and the faster competition method.
Free to ask. No spam, ever — we only reply about your question.
What the paper tests
Algebra
Counting & Probability
Number Theory
Geometry
Speed & strategy
Where it leads: Scoring in the top 2.5% (or a 120+ index) invites you to the AIME. See our coaching programme.
Book personalised AMC 10 classes
Past papers show you the gap; a mentor closes it. Our AMC 10 mentors are medal winners who walk through every solution 1-to-1, then set targeted practice on the archetypes you lost marks on.
Want the full AMC 10 paper pack and score guide?
Tell us your target and we will send the AMC 10 paper list, the official scoring rules and a preparation plan built around the questions you keep losing marks on.
Free to ask. No spam, ever — we only reply about your question.
Frequently asked questions
- How many AMC 10 past papers should I do?
- Aim for 10–15 full timed papers across the season, spread over both the A and B versions. Quality of review matters more than volume: for every paper you sit, spend twice as long rewriting full solutions to the questions you missed.
- Where can I download official AMC 10 past papers?
- Official problems and answer keys are published by the Mathematical Association of America (MAA) and mirrored on the AoPS wiki. We link to the official source rather than re-hosting copyrighted papers, and provide our own worked solutions and topic tagging alongside.
- What is a good AMC 10 score?
- A score above 100 is strong for a first attempt; AIME qualification usually lands between 100 and 110 depending on the year and paper. Consistently clearing the first 15 questions with no errors puts you at 90 before you touch the hard half.
Related paper libraries
Preparing beyond past papers? See our 1-to-1 Maths Olympiad tutoring hub for the full UKMT, BMO, AMC and AIME pathway with verified expert mentors.