There is provided a board game apparatus comprising a board, one or more playing pieces, and one or more dice. The board has a plurality of cells extending between a starting cell and an ending cell, the plurality of cells being sequentially numbered to define a continuous path along the cells from the starting cell to the ending cell, such that each cell bears a unique number, wherein the cells comprise active cells each bearing a mathematical operator in addition to their number, and motive cells without any mathematical operator in addition to their number.

A game includes numbered tiles and planar game board with a storage grid and a puzzle play grid. The storage grid has a storage grid structure with spaces configured to receive numbered tiles. The puzzle play grid has useable play spaces and unusable play spaces. The play grid structure has a combination of rows of useable play spaces and unusable play spaces. The total number of the numbered tiles is equal to the number of storage spaces and the number of useable play spaces. The numbered tiles are placed on the storage spaces before game play begins. Each numbered tiles is placed on one of the useable play spaces with the difference between the numerical value being greater than a predetermined increment when game play ends. Each of the predetermined numbers on the numbered tiles appears no more than once in each of the rows.

A multiplayer partisan Sudoku system provides a non-chance, turn-based, territory-control strategy game and method of play in which multiple players compete in a head-to-head environment in order to control the greatest number of regions on a special case of Latin squares that are subdivided and have an additional regional constraint, commonly understood as a Sudoku square. In one embodiment, players compete to gain control of regions by placing integers 0 to n1 into the boxes within the regions. Thus, the multiplayer partisan Sudoku system provides exciting multiplayer game play based on familiar Sudoku rules.

Systems for operating a Sudoku style hybrid game are disclosed. Sudoku style hybrid games can include a themed entertainment game in which a player places symbols into a Sudoku puzzle and events within the entertainment portion of the Sudoku style entertainment game can trigger wagers in a real world game of chance. Players may compete against each other to determine a winning player based on the amount of time taken to complete the puzzle of the Sudoku style entertainment game. The outcome of the wagers can result in payouts of real world credit and can also affect gameplay within the Sudoku style entertainment game.

Systems and methods for solving and generating a mathematical puzzle are presented. A puzzle may comprise areas comprising mystery number regions, pair clue regions interposing pairs of mystery value numbers, and a central clue region located centrally to the mystery number region. Solving a puzzle may comprise deterministic search methods coupled with heuristic approaches. Puzzle generation may comprise adding conforming clues until a puzzle has only one possible solution, the clues chosen based on heuristics for adding clues while minimizing incremental change in puzzle difficulty; or reducing the number of solutions/partial solutions to the puzzle.

Systems and methods for operating a Sudoku style hybrid game on a mobile device are disclosed. Sudoku style hybrid games can include a themed entertainment game in which a player places symbols into a Sudoku puzzle and events within the entertainment portion of the Sudoku style entertainment game can trigger wagers in a real world game of chance. The outcome of the wagers can result in payouts of real world credit and can also affect gameplay within the Sudoku style entertainment game.

An aid for teaching mathematical concepts looks like a multiplication table but has separable rows of numbers. In the first row, cardinal numbers 1-n are displayed and second-N rows have cardinal numbers 2-n displayed along side one edge on the face. The remainder of the rows have the multiplication products of the cardinal numbers on the first row and the cardinal numbers of the rest of the rows arranged at the intersections of the cardinal numbers at the top and along side the edge. The rows are separable so they may be arranged in a multiplicity of pairs of fractional equivalents.

A class of games and activities of skill and logic, particularly puzzles based on reason and logic are described. Disclosed are a method and a system for comparing solutions to the puzzles based on the paths to solution and for completion of the activities based on the order of carrying out the steps of the activity. A number of applications of the method are disclosed for development of further puzzles and activities from the initial puzzle or activity, as well as for other enriching experiences and expressions, particularly the method of providing a priori or real time hints to a participant to solve the puzzle or advance in the activity

A method of playing a game includes placing a plurality of numbered tiles on a storage grid structure with each of the numbered tiles being marked with a predetermined number from a predetermined set of numbers and each of the tiles being placed on a storage space. One numbered tile is moved to a useable play space. The moving step is repeated until: (a) each of the tiles is on one of the useable play spaces; (b) the difference between the numerical value of each of the numbered tiles on each of useable spaces and a number tile on an adjacent useable space along one of the horizontal, vertical, and diagonal rows is greater than a predetermined increment; and (c) each of the predetermined numbers on the numbered tiles appears no more than once in each of the horizontal, vertical and diagonal rows.

Reusable drawing game boards and systems are described.