A game apparatus is provided for one or more players having a first game member that includes a puzzle or a game area having indicia forming a grid having sub-grids including a plurality of cells. Each cell is assigned indicia in a solution pattern of the puzzle such that a distinct indicia appears once in each row, column, and sub-grid. The first game member displays the solution indicia for some of the cells and the remaining cells are divided into a number of sub-cells bearing the possible solution indicia for the corresponding cell such that each sub-cell includes a distinct indicia. A player speculates which sub-cell bears the correct solution indicia for the respective cell. The apparatus further includes at least one game piece adapted to randomly display an indicia when manipulated, the indicia modifying a game parameter such as a player's score or number of possible speculations the player can make in one turn.