Check out the link below for National Federation of State High School Associations. The updates are done regularly so depending on when you are looking for the answer to this question, this is the agency to go to! I don't know that anyone knows the answer to that. Just about every high school in the U.S. plays Basketball. So I would say there are several thousand high schools that play basketball.
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According to MaxPreps.com there are 16,047 high school football teams in America (8 man-11 man)