The diagram shows an ordinary die in which the scores on opposite faces always total 7.
It is placed on a horizontal table with the '1' face facing East.
The die is moved four times, rotating it each time through 90° about an edge.
The faces in contact with the table are first 1, then 2, then 3, then 5.
In which direction is the 1 facing after this sequence of moves?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.