well.. technically speaking, you cant really memorize the square root of two
well, if what you know is from anime, youll find a few of your questions are answered in anime itself ( though im extremely skeptical on how realistically they portray actual school life.) anyways, heres what you can pick up
from anime -
normally, teachers move into classrooms, rather than students moving to different classes, well for the most part of their schooling atleast.
secondly, yes, the majority of schools do have uniforms. its like that in a lot of the world ( all of south asia for example).
There is course/stream specialization at high school level.
They already have a mandatory second language to learn, english. and i tink its unreasonable to expect them all to learn a third language as well dont you think?
( not to say that people dont... )
I draw a lot of parallells from the schooling system that i graduated from. It also makes me wish that I graduated from an IB or American system sometimes. oh well. Ill post some real facts about the schooling system later