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Calendar Cubes

Problem

Two wooden cubes have digits painted on each face in such a way that it is possible to display any date of the month.

For example,

Show clearly how you would label each face to achieve this.


Solution

Clearly each cube must have 0, 1 and 2 painted on it. Leading to the solution.

Cube 1Cube 2
00
11
22
36
47
58

The trick being, the 6 can be turned around to make 9.

How would two wooden cubes be labelled to make all 2-digit primes?
(This time the 6 is different from the 9!)

Problem ID: 103 (Feb 2003)     Difficulty: 2 Star

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