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Answer: the '1' face will be facing West
Rotate so that 1 faces down:
Rotate so that 2 faces down:
Rotate so that 3 faces down:
Rotate so that 5 faces down:
As the '6' face is now facing East, the '1' face will be facing West.
This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.