Hepta

From BoardGameGeek:

OBJECT To place your game pieces on the board so that they do not cover any of the designated color on the board. The winner is the player who plays the most game pieces. From the box: A pleasing combination of puzzle and strategic game. On one side of the board, the idea is to place 14 tiles so as to cover all but one of the 7 colors. There are 7 colors and therefore 7 different problems. On the other side of the board, the game consists in seeing who of the two players is able to play more tiles.