AMC 10 and AMC 12 are the MAA’s high-school contests, held each fall in two administrations, A and B; students may sit both and use the better result for qualification. The papers share a structure: 25 multiple-choice questions, 75 minutes, no calculator, 6 points for a correct answer, 1.5 for a blank, 0 for a wrong answer, out of 150.
AMC 10 is for students in grade 10 or below who are under 17.5, and stops short of trigonometry and logarithms while demanding real fluency in counting, number theory, and plane geometry. AMC 12 is for grade 12 or below, under 19.5, and adds trigonometry, logarithms, complex numbers, sequences, and analytic geometry. Notably, the last five AMC 10 problems are often trickier than their AMC 12 counterparts, because difficulty must be manufactured inside a narrower syllabus.
The scoring rule drives strategy. A blank is worth 1.5 points, more than the 1.2-point expected value of a blind guess among five choices, so leaving a question empty is correct when nothing can be eliminated — but eliminating even one option makes guessing better.
Clearing the published cutoff earns an invitation to AIME the following February, and strong AIME performance leads to USAJMO or USAMO in March. This chain is the only official route into the U.S. olympiad program, the MOP summer camp, and ultimately the IMO team.








