You can find official and archived American Mathematics Competitions past papers on the MAA AMC Resources page or through the Gonit blog,
Every AMC past paper is free. The Mathematical Association of America (MAA), which runs the American Mathematics Competitions, publishes the problems and answer keys for every contest it has ever administered.
This page is the download index. Below you will find AMC past papers from 2016 to 2026 for all three levels, organised by year and by version, with the A and B papers listed separately and a note on where the solutions for each year live.
What this page deliberately does not do is explain how to prepare.
That lives on the level pages: the AMC 8 practice guide, the AMC 10 practice guide, and the AMC 12 practice guide. Take the papers, then go to the guide for your level.
Where AMC past papers come from
Three sources matter, and everything else is a copy of one of them.
The MAA is the origin of every paper. It publishes official answer keys and sells printed Contest Problem Book collections. What it does not maintain is a browsable public archive of every past contest, which is why students who start at maa.org usually leave disappointed.
The Art of Problem Solving wiki has become the de facto archive. Every AMC 8 from 1999, every AMC 10 and AMC 12 from 2000, each problem on its own page, almost always with several community-written solutions. It is the best place to review a problem you got wrong and the worst place to sit a timed paper, because nothing is assembled into a printable contest.
The LIVE archive, run by former United States IMO coach Po-Shen Loh, hosts real AMC problems with written permission from the MAA and produces clean printable PDFs of complete papers. It also lets you filter problems by concept and by difficulty.
A word on what is not legitimate. Any site charging for AMC past papers is reselling free material. Any site offering a current-year paper before its contest window has closed is distributing a leaked exam, and using one puts your own result at risk. Everything indexed on this page is either hosted with permission or linked to its official source.
AMC 8 past papers, 2016 to 2026
Available every year in this range except one: there is no 2021 AMC 8. The contest was not held that year, and the schedule afterwards settled into its current January window.
If you are downloading these for a younger child and are not sure they are old enough to sit the contest, check whether your child is eligible first.
| Year | Paper | Answer key |
|---|---|---|
| 2026 | AMC 8 2026 (PDF) | Answer key |
| 2025 | AMC 8 2025 (PDF) | Answer key |
| 2024 | AMC 8 2024 (PDF) | Answer key |
| 2023 | AMC 8 2023 (PDF) | Answer key |
| 2022 | AMC 8 2022 (PDF) | Answer key |
| 2021 | Not held | Not applicable |
| 2020 | AMC 8 2020 (PDF) | Answer key |
| 2019 | AMC 8 2019 (PDF) | Answer key |
| 2018 | AMC 8 2018 (PDF) | Answer key |
| 2017 | AMC 8 2017 (PDF) | Answer key |
| 2016 | AMC 8 2016 (PDF) | Answer key |
Problems © Mathematical Association of America. Reproduced with permission.
Older papers exist too. The AMC 8 archive runs unbroken from 1999, and before that the same contest was called the AJHSME, the American Junior High School Mathematics Examination, with papers from 1985. Those are genuine practice material, though the style from the 1980s and early 1990s is noticeably more computational than the modern paper.
The next AMC 8 runs from 21 to 27 January 2027 and will be added here once the window closes.
AMC 10 past papers, 2016 to 2026
Two papers per year, the AMC 10A and the AMC 10B, on separate dates with different problems. One exception: 2021 has four, because the contest moved from a spring schedule to a November schedule that year and both sittings fall inside the same calendar year. Archives label the extra two as 2021 C and D, or as Fall A and Fall B.
| Year | A paper | B paper | Answer key |
|---|---|---|---|
| 2026 | Sat 5 November 2026 | Sat 13 November 2026 | After the window closes |
| 2025 | AMC 10A 2025 (PDF) | AMC 10B 2025 (PDF) | A key · B key |
| 2024 | AMC 10A 2024 (PDF) | AMC 10B 2024 (PDF) | A key · B key |
| 2023 | AMC 10A 2023 (PDF) | AMC 10B 2023 (PDF) | A key · B key |
| 2022 | AMC 10A 2022 (PDF) | AMC 10B 2022 (PDF) | A key · B key |
| 2021 | AMC 10A 2021 (PDF) and AMC 10C / Fall A (PDF) | AMC 10B 2021 (PDF) and AMC 10D / Fall B (PDF) | A key · B key · C key · D key |
| 2020 | AMC 10A 2020 (PDF) | AMC 10B 2020 (PDF) | A key · B key |
| 2019 | AMC 10A 2019 (PDF) | AMC 10B 2019 (PDF) | A key · B key |
| 2018 | AMC 10A 2018 (PDF) | AMC 10B 2018 (PDF) | A key · B key |
| 2017 | AMC 10A 2017 (PDF) | AMC 10B 2017 (PDF) | A key · B key |
| 2016 | AMC 10A 2016 (PDF) | AMC 10A 2016 (PDF) | A key · B key |
Problems © Mathematical Association of America. Reproduced with permission.
The archive continues back to 2000, when the AMC 10 was introduced. The 2000 and 2001 papers are single contests with no A and B split.
AMC 12 past papers, 2016 to 2026
Same pattern as the AMC 10: an A paper and a B paper each year, four in 2021.
| Year | A paper | B paper | Answer key |
|---|---|---|---|
| 2026 | Sat 5 November 2026 | Sat 13 November 2026 | After the window closes |
| 2025 | AMC 12A 2025 (PDF) | AMC 12B 2025 (PDF) | A key · B key |
| 2024 | AMC 12A 2024 (PDF) | AMC 12B 2024 (PDF) | A key · B key |
| 2023 | AMC 12A 2023 (PDF) | AMC 12B 2023 (PDF) | A key · B key |
| 2022 | AMC 12A 2022 (PDF) | AMC 12B 2022 (PDF) | A key · B key |
| 2021 | AMC 12A 2021 (PDF) and AMC 12C / Fall A (PDF) | AMC 12B 2021 (PDF) and AMC 12D / Fall B (PDF) | A key · B key · C key · D key |
| 2020 | AMC 12A 2020 (PDF) | AMC 12B 2020 (PDF) | A key · B key |
| 2019 | AMC 12A 2019 (PDF) | AMC 12B 2019 (PDF) | A key · B key |
| 2018 | AMC 12A 2018 (PDF) | AMC 12B 2018 (PDF) | A key · B key |
| 2017 | AMC 12A 2017 (PDF) | AMC 12A 2017 (PDF) | A key · B key |
| 2016 | AMC 12A 2016 (PDF) | AMC 12A 2016 (PDF) | A key · B key |
Problems © Mathematical Association of America. Reproduced with permission.
Before 2000 the contest was called the AHSME, the American High School Mathematics Examination, and those papers are archived back to 1950. Treat them carefully.
The AHSME format changed repeatedly: some years carry 30 questions, some 40, some 50, and the time limits and scoring differ from the modern paper. They are good problem sets and are unusable for timed simulation.
Gaps and naming quirks you will run into
Four things confuse people searching these archives.
The missing 2021 AMC 8. Not an archiving error. The contest was not held.
Four AMC 10 and AMC 12 papers in 2021. The schedule moved from spring to autumn, so that calendar year contains both the old cycle and the new one. Different archives label the extra pair differently, which is why you will see 2021 C and 2021 D on some sites and Fall A and Fall B on others. They are the same papers.
AJHSME and AHSME. These are the former names of the AMC 8 and the AMC 12. Papers filed under those names are the same contest lineage, and they are usually indexed under the modern name anyway.
A and B are not easy and hard. They are two sittings of equal standing with different problems. Difficulty varies between them year to year by accident, not design.
Which AMC past papers to work first
Problem style has drifted over the decades, so the recent papers predict the next one better than the old ones do. Work backwards from the most recent year and stop when you run out of time, rather than starting in 2016 and working forward.
A rough priority order:
- The last five years at your level. These are the closest match to what you will sit.
- The other version from those same years, so the 2025 B paper if you already did the 2025 A paper.
- Years six to ten back, which is where this index runs out and the full archives take over.
- Pre-2000 papers, as topic practice only, once everything above is exhausted.
If you are still deciding between AMC 8 and AMC 10, or weighing up AMC 10 or AMC 12, those comparisons will settle it before you download anything. And if you want the timing, review and error-log method that turns a downloaded paper into a higher score, the preparation guide covers it and this page does not repeat it.
One level further on: a qualifying score on the AMC 10 or AMC 12 earns an invitation to the AIME, so if you are already scoring well on recent papers, AIME problems are the natural next set to work through.
Where the solutions are
Every paper indexed above has free solutions somewhere, and the three sources differ in what they give you.
The Art of Problem Solving wiki is the one to use for review. It carries community solutions for essentially every AMC 8 problem from 1999 and every AMC 10 and AMC 12 problem from 2000, usually several per problem, and the alternative approaches are often shorter than the official ones.
The LIVE archive pairs solutions with its printable papers, which is convenient when you want everything for one contest in a single place.
The MAA publishes official answer keys. These tell you what the answer was, not how to get it, so they are for marking rather than learning.
For the most recent contest, solutions appear within days of the window closing. Beyond solutions, there is a wider set of free AMC practice resources — problem collections, videos and courses — worth knowing about once you have worked through the papers here.
Make Preparing for Math Olympiad Simple!
Are AMC past papers free?
Yes, all of them. Every past paper and its solutions are free to access from the official archives. Any site charging for them is reselling material you can get at no cost.
Which years of AMC past papers are available?
AMC 8 papers run from 1985 to 2026, with no contest held in 2021. AMC 10 papers run from 2000 to 2025, and AMC 12 papers from 2000 to 2025, with their AHSME predecessor archived back to 1950. The November 2026 AMC 10 and AMC 12 papers join the archives after the contest windows close.
Why is there no 2021 AMC 8?
The 2021 contest was not held. The schedule was disrupted and the AMC 8 resumed in January 2022.
Why are there four AMC 10 papers in 2021?
The AMC 10 and AMC 12 moved from a spring schedule to a November schedule that year, so both the old and the new cycle fall inside the same calendar year. Some archives label the second pair C and D, others call them Fall A and Fall B.
Are these the official AMC papers?
Yes. The problems are MAA material, indexed here from the official and authorised sources. Nothing on this page is a reconstruction or a mock paper.
Where can I find AMC past papers with solutions?
The Art of Problem Solving wiki carries solutions for every AMC 8 problem from 1999 and every AMC 10 and AMC 12 problem from 2000, usually with multiple approaches. The LIVE archive pairs solutions with printable PDFs. The MAA publishes official answer keys.
How far back should I go?
Start with the last five years at your level and work backwards. Problem style has shifted over the decades, so recent papers are the better predictor.
What score should I be aiming for on these papers?
That depends on the level and on what you want from the contest. The thresholds for distinction, for an AIME invitation and for a simply respectable result are all different — what counts as a good AMC score sets them out year by year.
Which topics do these papers test?
Each level draws on a defined range: arithmetic, counting and basic geometry at AMC 8, widening through algebra and number theory at AMC 10, and adding trigonometry, logarithms and complex numbers at AMC 12. The AMC syllabus breaks down what each level covers.
Start with one paper, timed, this week
The papers on this page are the whole archive most students will ever need, and they cost nothing. That is also the trap. A folder of forty downloaded PDFs is not practice, and the student who works five papers properly will beat the student who skims twenty.
So pick one. The most recent paper at your level, printed, timed, in one sitting, with no calculator and no looking anything up. Mark it honestly, then spend longer reviewing the questions you got wrong than you spent sitting the paper in the first place. That ratio is the single thing that separates students whose scores move from students whose scores do not.
Then come back for the next year down, and work backwards from there.
When you are ready to sit the real thing, registration runs through a school or an approved testing centre and closes weeks before the contest, so check the 2026–27 contest dates early. Bookmark this page — the November 2026 AMC 10 and AMC 12 papers, and the January 2027 AMC 8, will be added here as soon as each contest window closes.
Mikha Piregu is a Content Writer with experience spanning educational content, including math and math olympiad topics, as well as advocacy writing, research-based articles, and SEO-driven web content. He creates high-quality blog content, web copy, and feature articles that support brand visibility, audience engagement, and long-term organic growth through data-informed storytelling. Skilled in WordPress, WooCommerce, and modern digital tools, Mikha adapts content across various platforms, including blogs, websites, campaigns, and advocacy initiatives, with clarity and purpose.
There are no comments posted here yet.
Sign in to leave a comment