The AMC 8 is the entry point of the American Mathematics Competitions — a chain of math contests run by the Mathematical Association of America (MAA, now the MAA AMC Program / Mathematical Olympiad of America). It's the test that most US middle-school math competitors take first, and it's the gateway to the AMC 10, AMC 12, AIME, and ultimately the USAMO / IMO pipeline.
This guide answers the questions parents and students ask most: what's on the test, how it's scored, what counts as a good score, and how to start preparing without burning out.
The basics
- Format: 25 multiple-choice problems, 5 answer choices each (A–E)
- Time: 40 minutes
- Calculator: not allowed
- Scoring: +1 for correct, 0 for blank, 0 for wrong (no penalty for guessing — always answer)
- Maximum score: 25 points
- Eligibility: grade 8 or below, under 14.5 years old on test day
- When: once a year in mid-to-late January
What the test actually looks like
The 25 problems are loosely ordered by difficulty. Roughly:
- Problems 1–10 — accessible to most middle-schoolers with strong arithmetic. These are the points anyone can earn.
- Problems 11–20 — require some technique: setting up equations, casework, basic geometry, simple counting. Most of the score gap between strong and average competitors lives here.
- Problems 21–25 — multi-step problems that reward cleverness over computation. Frequently the difference between Honor Roll and Distinguished Honor Roll.
Topic distribution
The AMC 8 covers six broad areas — the same six categories Amc2Aime uses to organize its knowledge points:
- Algebra — linear equations, simple word problems, basic ratios and proportions
- Geometry — areas of triangles / rectangles / circles, angle chasing, similar triangles, Pythagorean theorem
- Counting and Probability — basic combinations, permutations, complementary counting, simple probability
- Number Theory — divisibility, prime factorization, GCD/LCM, modular arithmetic patterns
- Arithmetic — fraction / decimal / percent conversions, working with units, rate problems
- Logic — sequences, patterns, "find the trick" problems, simple game theory
There is no calculus, no trigonometry, no logarithms. Anything in a typical US 7th-grade textbook is fair game; anything beyond pre-algebra is unusual.
How scores are interpreted
The MAA publishes year-by-year cutoffs, but the rough mental model below is stable across years:
- 15+ — solid score for a first-time competitor
- 18–20 — typical Honor Roll cutoff (top ~5%)
- 22+ — typical Distinguished Honor Roll cutoff (top ~1%)
- 25 — perfect score, awarded its own distinction
The "right" target depends on grade. A 6th-grader scoring 12 has a clearer trajectory than an 8th-grader scoring 17. The contest is absolute, not normed to grade — so younger students benefit from repeated exposure across years.
How to start preparing
The pattern that consistently works for middle-schoolers:
- Take a recent past contest cold — under timed, calculator-free conditions. The score doesn't matter; what matters is identifying which of the six topics cost you the most points.
- Drill the bottom two topics — not all six. Time spent on areas you already understand returns less per minute. The topics page lists every knowledge point so you can find which sub-skill keeps recurring.
- Mock weekly — full 40-minute timed contests, even if scores oscillate. Test stamina and pacing are skills in their own right.
- Review every miss — not the answer, the reason. "I didn't know" is fine; "I knew but rushed" is a different fix from "I misread the question".
Amc2Aime automates step 4 — the AI coach surfaces error patterns across attempts and queues drills from a 14,000-question bank that target the specific knowledge points where you're losing points. If you want to try it, create a free accountand tell the coach "quick AMC 8 round".
What comes after the AMC 8
Strong AMC 8 performers (typically 18+) usually move on to the AMC 10 in the same year — it's a 25-problem, 75-minute contest with a much wider topic range. The AMC 10/12 then feeds into the AIME (a 15-problem fill-in test for AMC 10/12 high scorers), and the AIME feeds into the USAMO/USAJMO.
That whole pipeline is years long, but the AMC 8 is where the habit of thinking through hard problems quickly first gets built. Even students who don't pursue contests further often credit the AMC 8 with teaching them how to slow down on the problem and speed up on the arithmetic.