Various bonus games for being played on a gaming machine are described. The base game may consist of the random selection and display of a 5×3 matrix of symbols. In one bonus game (FIGS. 5-7), upon a certain outcome of the base game including special symbols, all symbols in the matrix except for the special symbols are replaced with values, such as different credit amounts. The player selects a particular special symbol using a touch screen, and the identified special symbol randomly moves to select one of the displayed values in the matrix. In another game (FIGS. 11-13), the player applies hidden multipliers to a randomly selected award value in the matrix. In another game (FIGS. 14-19), pointers moving across the matrix of values accumulate values for awarding to the player. The multi-stage interactive bonus games add excitement and more player involvement.