How do students qualify to participate in the AIME?
For the AMC 10, at least the top 2.5% of all scorers on the AMC 10 A and the top 2.5% of scorers on the AMC 10 B are invited to take the AIME. For the AMC 12, at least the top 5% of all scorers on the AMC 12 A and the top 5% of scorers on the AMC 12 B are invited.
How do students qualify to the USAMO or USAJMO?
Each year the MAA AMC program selects approximately a total of 500 students for the two Olympiads.