There are three GRE sections: Verbal, Quantitative (math), and Analytical Writing. The GRE tests college-level vocabulary and verbal reasoning; basic math concepts in arithmetic, algebra, and geometry; and your writing and analytical skills.
When are AP tests?
What do the APs test?
Advanced Placement (AP) Courses vs. Honors Classes
Rolling Admissions
Would you consider teaching things that are not on the list?