AMC practice problems: where to find them, and how to use them.
Past papers are free and they’re the best practice there is — but only if you use them the right way. Here’s where to find genuine AMC 8 and AMC 10 problems, and how to turn them into real improvement.
The short version
The best AMC practice is real past papers, worked slowly and understood deeply — not dozens of problems rushed. Foundations first, timed practice second. This guide shows you where to find authentic problems and how to build genuine skill from them.
The best source is free
Here’s something many families don’t realize: the single best source of AMC practice is the real, past AMC papers — and they’re freely available. Every previous AMC 8 and AMC 10 has been released, so your child can practise on the genuine article rather than imitation question sets.
This matters more than it sounds. Third-party “AMC-style” problems vary wildly in quality, and many miss the specific flavour of real competition questions — the way a good AMC problem hides an elegant idea behind an innocent-looking setup. Real past papers train your child on exactly what they’ll face.
A dozen real past-paper problems, deeply understood, beats a hundred imitation ones skimmed.
What to look for in a practice resource
- Authentic past problems, ideally organised so you can find them by year or by topic
- Full worked solutions — not just answers, because the method is the lesson
- A way to track which topics your child finds hard, so practice can target the gaps
That last point is the one most families overlook, and it’s the most valuable. Random practice tells you a child got 14 out of 25. Targeted practice tells you which kinds of problems they miss — counting, or geometry, or number theory — so the next session can fix the actual weakness rather than repeat what they already know.
How to actually practise
Having the problems is easy. Using them well is where families go wrong. The instinct is to drill — as many problems as possible, as fast as possible. That builds speed on familiar problems and does almost nothing for the unfamiliar ones the AMC is built around.
A better approach:
- Start slow, untimed. Let your child genuinely wrestle with a problem before looking at the solution. The struggle is where the learning is.
- Study the solution, don’t just check the answer. Ask: what was the key idea? Could I have seen it? That reflection is what transfers to new problems.
- Only then add timing. Once the ideas are solid, timed past papers build the pace and exam temperament they’ll need on the day.
- Track the gaps. Keep a simple note of which topics trip them up, and steer the next session there.
Done this way, even 30–40 minutes of focused practice a few times a week builds real, compounding ability — far more than long, unfocused drilling sessions.
AMC practice — FAQ
Are past papers really the best practice?
Yes — they’re authentic, free, and train your child on exactly the style of problem they’ll meet. Imitation sets are a distant second.
How many problems per session?
Fewer, understood deeply, beats many rushed. A handful of past-paper problems fully worked through does more than dozens skimmed.
Timed or untimed?
Untimed first, to build understanding; timed later, to build pace. Doing it in that order matters.
How do we know what to work on next?
Track which topics your child misses — counting, geometry, number theory, algebra — and target the weak one. That’s the fastest route to improvement.