Skip over navigation
Tic Tac Toe
Age 11 to 14
Challenge Level 
The ideas in this problem have been expanded and made into another, more detailed investigation. See Marbles in a Box.
| In the game of Tic Tac Toe (i.e. noughts and crosses) there are 8 distinct winning lines.
Investigate how many distinct winning lines there are in a game played on a 3 by 3 by 3 board, with 27 cells. A winning line connects 3 cells. |
 |
You may also like
All in the Mind
Imagine you are suspending a cube from one vertex and allowing it to hang freely. What shape does the surface of the water make around the cube?
Painting Cubes
Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?
