If I were in school today, I would be diagnosed ADHD, so would both of my daughters (but thankfully, they are home schooled). How did they deal with children back then?
We walked 3/4 of a mile to school (each way) four times a day (we went home for lunch), that's 3 miles of walking. The children who didn't walk home for lunch ate and then played on the play ground for 45 minutes until classes started back. We had 15 minute recesses twice a day, and on the three days we didn't have recess in the afternoon, we had 30 minutes of physical education. When we got home from school, we didn't have homework, we went outside and played until it was dinner time. By that time, we were well worn out and ready for a good night's sleep, and obesity was rare!
The way I deal with my hyper children is to exercise them a lot. My older daughter walks, and my younger daughter jumps on the rebounder. They are outside playing as much as possible, and we find plenty of work for them to do around the house.
By the way, 15 minutes of exercise prior to school work is a good way to get my girls to sit down and study.