A game having a playing surface with a first and second grid spaced a distance apart. Each grid has a plurality of fields arranged as a series of rows and columns that form one or more boxes, and each field of the first grid is linked to one field of the second grid that is in the same row and column as the field in the first grid. Fields are populated with images selected from image sets for each grid. Each row, column and box of each grid cannot contain identical images. Each image of the first set corresponds to only one image of the second set, and each field of the first and second grids is populated by one image of their respective image sets whereby each image inserted into each field of one grid has its corresponding image inserted into the linked field of the other grid.

A method of playing a board game includes a game board arranged as a grid. The board is set up before play where certain playing squares include respective first or second uniform indicia such that respective numbered tiles with matching uniform indicia may be randomly placed on the certain playing squares. Players may then perform a series turns placing tiles having a third indicia on the board in a single straight line using at least one of the numbered tiles already placed on the board. The tiles must create one or more linear sequences wherein the sum of the numbered tiles within each linear sequence equals a predetermined value. Points are awarded to the player based at least in part on the number of linear sequences created during the turn. The winner may be the player with the highest total awarded points at the end of the game.

A math game that requires choice and strategic thinking in the practice of multiplication. Play takes place on a game board which consists of a grid of randomly arranged multiplication products. Players are given a “hand” of three or more numbered cards, with each number representing a factor in a multiplication problem. Players take turns choosing two of the factors in their hand to create a product which they mark on the game board. The first player to obtain the required number of marked products in a row, horizontally, vertically, or diagonally, wins the game. By choosing which factors they multiply, players can make offensive or defensive moves in their attempt to be the first to mark the required number of products in a row.

A game apparatus includes a first total number of playing-pieces and an article of manufacture including: a grid structure which is sufficiently flexible so as to be substantially conformable to a surface of a substrate on which the grid structure is disposable; apertures in the grid structure exposing corresponding portions of the surface of the substrate on which the grid structure is disposable; areas of the apertures being sized to accommodate corresponding playing-pieces of a game; and a second total number of the apertures being sufficient to accommodate the first total number of the playing-pieces.

A method of playing a board game includes a game board arranged as a grid. The board is set up before play where certain playing squares include first or second indicia such that respective numbered tiles with matching indicia may be randomly placed on the certain playing squares. Players may then perform a series turns placing tiles having a third indicia on the board in a single straight line using at least one of the numbered tiles already placed on the board. The tiles must create one or more linear sequences wherein the sum of the numbered tiles within each linear sequence equals a predetermined value. Points are awarded to the player based at least in part on the number of linear sequences created during the turn. The winner may be the player with the highest total awarded points at the end of the game. Other aspects are also provided.

A board game apparatus is described that includes a square playing board, and a first set and a second set of game coins. The square playing board includes a playing surface and two opposite playing sides, namely, attacking side (A) and defending side (D). The first set of game coins (f) are marked with indicia, such as I, II, III, IV, V, VII, and XI. The second set of game coins (s) consist of indicia Hash (#). The attacking side (A) is allotted with the first set of game coins (f) and the defending side (D) is allotted with the second set of game coins (s). The board game apparatus is designed to play games employing mathematical skills which provide amusement and educational stimulation to both adults and children.

A method of using a math manipulative configured to help a user organize a breakdown of a given number into its prime factors, the method including using a board comprising columns, each column assigned to a different prime number and configured to accommodate chips, the board giving a visual picture of the prime factors of the given number to the user, and adding the chips in each of the columns by the user, wherein a number of chip added in each of the columns is the number of times the prime number corresponding to each column is a prime factor of the given number.

A board game apparatus is described that includes a square playing board, and a first set and a second set of game coins. The square playing board includes a playing surface and two opposite playing sides, namely, attacking side (A) and defending side (D). The first set of game coins (f) are marked with indicia, such as I, II, III, IV, V, VII, and XI. The second set of game coins (s) consist of indicia Hash (#). The attacking side (A) is allotted with the first set of game coins (f) and the defending side (D) is allotted with the second set of game coins (s). The board game apparatus is designed to play games employing mathematical skills which provide amusement and educational stimulation to both adults and children.

Methods and apparatus of associating by a computerized system, labels with the order of execution of steps of solving a puzzle, game or activity, for one or more parts of one or more solution-paths for the puzzle, game or activity are described. Execution of the puzzle solution and also the particular sequence of steps in the solution paths are used to evaluate a relative efficiency of one sequence of steps over the other sequence. By quantifying efficiency of the solution path it becomes possible to logically and objectively compare the efficiency of two or more solutions or completions of the puzzle, game or activity.

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. Also disclosed is a particular, novel method for participation by remote audience in logic and skill based activities such as creating or improving known logic puzzles and wagering.