If the odd numbers on two dice are made negative, which of the totals cannot be achieved?
Age 11 to 16 Challenge Level:
In this game the winner is the first to complete a row of three, either horizontally, vertically or diagonally.
The game is played with two special dice, one with the numbers $1, 2, 3, -4, -5, -6$ and the other with the numbers $-1, -2, -3, 4, 5, 6$.
Choose what order to place the dice in, and add or subtract them to produce one of the totals shown on the board, which you can then cover with one of your counters.
You cannot cover a number which has already been covered.
If you are unable to find a total which has not been covered you must Pass.
The winner is the first to complete a line of three.
You can use the interactive version below or print this board to play away from the computer.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice.