Classic is a game mode that seems similar to Kahoot or Quizizz. In this game mode, you get prompted a question on not only the host's screen, but also the player's screen. The main goal is to get all the questions correct as fast as you can while going against every opponent in the game. This gamemode gives 0.5 tokens per every question answered.
You can see your Classic points on your stats page, it is labeled as "Total Points".