Following is a list of criteria for homeschoolers wishing to join the U.S. Army. Other branches of the armed forces have similar requirements.
From the U.S. Army Website:
“Home-school graduates seeking to enlist in the U.S. Army need to meet the following criteria:
Must possess a home-school diploma and submit transcripts at the time of enlistment. The course work must involve parental supervision, the transcript must reflect the normal credit hours per subject used in a traditional high school and the diploma must be issued in compliance with applicable state laws.
Take the Armed Services Vocational Aptitude Battery test. The Armed Forces Qualification Test score from the ASVAB will determine enlistment eligibility.
Must take the Assessment of Individual Motivation test, which is 20-minute pencil and paper test. The AIM test score is used to obtain data and does not affect qualification for enlistment.
At a minimum, the last academic year (9 months) must be completed in a home-school environment.”