Removal of game pieces or tiles from the recesses of a game board surface having a raised grid to prevent sliding of the game pieces on the board is facilitated by providing, in one embodiment, a flexible game board which can be bent into a generally U-shaped structure to form a funnel to deposit the game pieces into a receptacle by funneling action. An alternative embodiment provides for pivotably mounted full boards or portions of boards which are rotated on their pivots to deposit the game pieces in a receptacle forming the frame for the structure. Another embodiment provides a grid with a slot under it for receiving a smooth-surfaced marked game board surface under the grid. The game board can be pulled out from under the grid to let game pieces fall down into a receptacle.