I don’t know about major math achievements- the n is pretty small- but homeschooled kids are overrepresented in geography bees, spelling bees, and other academic competitions at the high school level.

https://readlion.com/homeschoolers-dominate-inland-northwest...

It appears that homeschooling enables students to pursue singular passions further than students in schools. It’s not for everyone though.

My point was just to note some other interesting characteristics beyond the age and gender that show up in coverage.