I think it varies but either way it sounds like she would be happiest with advanced work at school. Maybe I missed this, but what "grade" is she in now? DD will be 6yo when she is in 2nd grade (due to a skip) so the 2.5 grade math would put her right on target. The reading is ahead but I never listen to those. I was told I was grade 9 reading level in 3rd grade but stayed in my class with no issues and back then they didn't really give extra work (I actually wish I hadn't even been told).
I think just continue giving her work on her level or if you switch her into traditional school ask for a test to determine best fit. It sounds like socially she'd be fine with a skip.
