Abstract: A mathematical board game including a game board (21) bearing a rectangular grid (25) defining a plurality of ranks (R) and files (F). A plurality of tiles are provided for each player, each tile being marked with one of the base 11 digits [1, 2, 3 . . . 10] for placing on the board. Each player places one tile at a time in an attempt to provide rank, file, or diagonally contiguous sequences which sum to a number even divisible by ten. A combinatorial sieve to generate all non-redundant combinations of three integers which sum to either ten or twenty is used to derive the number of tiles marked with each digit (35).