We The Mind turns AMC 8 / 10 / 12 practice into something you actually want to open. Break wax seals to reveal step-by-step solutions, rack up your score, and grab a free year-by-year index of every real contest since 2015 — no strings, no asymptotes, no catch.
Four reasons students stick around long enough to actually get better — no proof required, though we do love a good one.
Answers don't just appear — you break a seal for them. It's oddly satisfying, and it means you commit to an answer before you peek.
Every solution opens with the underlying idea — ratios, modular arithmetic, angle addition — so you learn the "why," not just the "what."
A complete, free year-by-year index of AMC 8/10/12 from 2015–2025, linking straight to the official archive. On the house, forever.
Your progress is saved automatically, so you can pick up right where you left off — no cramming, just compounding (like interest, but fun).
Every row below links directly to the Art of Problem Solving Wiki, which hosts the actual official problems, answer keys, and community solutions for each contest — free, and maintained by the people who discuss them. Nothing on this page reproduces the contest text itself.
| Year | Problems | Answer Key |
|---|
| Year | 10A Problems | 10A Key | 10B Problems | 10B Key |
|---|
| Year | 12A Problems | 12A Key | 12B Problems | 12B Key |
|---|
Twelve original problems, written in the spirit of the AMC 8, 10, and 12 — each sealed with a concept refresher, a fully worked solution, and a reference for going deeper. Choose your answer first, then break the seal to see if you were right.
No irrational exaggerations here — just a few notes from students who broke a seal or two. (Names changed. Enthusiasm did not.)
I used to fear modular arithmetic. Now I mod it like a pro. 10/10, no remainder of doubt.
Breaking the wax seal on a solution I actually got right might be the most satisfying sound in math.
The free archive index alone saved me an hour of Googling. The concept boxes saved my grade.
Every plan includes the free 2015–2025 archive index. Upgrade when you're ready to go complex.
Or, as we like to call them, the union of everyone's questions minus the overlap.
We The Mind — original practice problems, not reproductions of any official contest. Real past contests live free in our 2015–2025 index above, linking out to the official archive. Set your own pace, break a seal only when you are ready.
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