How is math applied in video games?
Everywhere. Your score requires a formula to add, x and y axis to locate your character and z axis in 3-d games. On pressure sensitive games the depth of the button into the controller is multiplied by some number to equal speed. I suggest you go to www.gamemaker.nl and download Game Maker by Mark Overmars and try to make your own, it becomes very obvious very fast once you get into raw coding (which is sadly easier sometimes than using pre-made buttons).