One of first places I would look for testing examples to get a idea of aptitude is the military. At least until recently there were actually interested in ability not gender quotas. I attended one of the first magnet high-schools in America where the sponsors and evaluators for STEM were actual engineers from Texas Instruments. I was selected not because I had the best math scores, I was selected because my brain functioned like theirs did from a young age and it was easy to detect with the like minded.How do you test for "STEM talent"? At what age? What happens after you've determined who is or is not a strong STEM candidate?
https://www.military.com/join-armed-forces/asvab