The American High School Mathematics Examination (AHSME) 
was the first exam in the series of exams used to challenge bright students, 
grades 12 and below, and after 1973, 
was used on the path toward choosing the team 
that represents the United States at the International Mathematics Olympiad (IMO).

High scoring AHSME students after 1983 were invited to 
take the more challenging American Invitational Mathematics Examination (AIME).

The AHSME replaced the AHSC in 1973.

The AHSME was replaced with the AMC 10 and AMC 12 in 2000.

The AHSME was a 30 question, 90 minute, multiple choice exam (except in 1973, 
in which it had 35 questions). 
Problems generally increased in difficulty as the exam progresses. 
Calculators were not permitted.

Download sample PDF here.

For every correct answer: 5 points
For every wrong answer: 0 points
For every problem not answered: 2 points