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'Right or Left?' printed from http://nrich.maths.org/

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You may know that opposite faces of a dice add up to $7$, but did you know that there are two different types of dice?
Here are two dice, a right-handed one and a left-handed one:

right-handed and left-handed dice

Decide whether the dice below are right-handed or left-handed:

die with 5 on top face, 1 on near face, 3 on right face. Die with 3 on top face, 2 on near face and 6 on fight face

 

Now try these - they are more difficult.

 

Die with 6 on top face, 5 on near face and 3 on right face. Die with five on top face, 6 on near face and 3 on right face

This problem is taken from the book "Mathematical Activities from Poland" published by ATM.