Why stop at 16. Make it 12 years old.
I had to take the SAT II in German as part of my demonstration of proficiency at Revelle College, UCSD. There was a 12 year old in the same test session. He already had a master's. The physics department wanted him to take an exam as a prerequisite for entering the PhD program. There are a few prodigy/overachievers that you encounter in life.