In various embodiments, the gaming system, gaming device, and method disclosed herein maintains a designated award which is associated with a variable score for a skill-based game. In one such embodiment, the gaming system enables a player to play a game, wherein the gaming system forms a score for the player. The player's formed score is based on zero, one or more inputs made by the player during the play of the skill-based game (i.e., which tends to measure one or more aspects of that player's skills). If the player's score does not reach the variable score associated with the designated award, the gaming system modifies the variable score associated with the designated award of that skill-based game. If the player's score reaches or exceeds the variable score associated with the designated award, the gaming system provides the player a designated quantity of opportunities to win the maintained designated award.