Video games system

A video game system includes a video game machine and a controller connected thereto, wherein the game machine is further connected with a display device. A video-game memory medium, detachably attached to the game machine, generates image data for displaying a player object, a plurality of courses, and objects other than the player object. A player chooses a course of play by operating the controller. A score-giving condition is detected according to a relation of the player object to another object. Depending on the detection, a first score is counted for the course. When the player object comes under a condition satisfying a course clear, the first score is memorized in a score-register area of a RAM. If the user chooses to play a same course, an initial value is written to the score-register area.