In this mode it has a classic mode and a drift mode. In classic mode you gain points for each mile in a time limit and a set number of laps. You gain bonus points for passing a checkpoint, lap, and ending a race at the best time.
Drift score attack is similar to classic mode it has a time limit. you lose points if you hit a wall or going off the track.
You gain points by drifting (But only at a turn) and getting the best time.