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There are 6 numbers on a cube. Create two columns of numbers. Total of 6 cubes are used. Show all the potential dates in any given month. There is a hint to think of geometry.

1 . . . . 1
2 . . . . 2
3 . . . . 3

etc.

The days of the month are 1 - 31.

What are the potential dates?

" There are 6 numbers on a cube."
Who decides what numbers are on the cube?

" Total of 6 cubes are used."
Does that mean the arithmetic total of the six cubes are used, or you need 6 cubes to show the year, month and day?

"Show all the potential dates in any given month."
What is the format for the date, "YY-MM-DD", "MM-DD", "MM-DD-YY", "DD-MM-YY", "DD"?
Is it one cube per digit?

That is the only information on the problem that my child brought home from school. We are baffled. We thought it was six cubes total.

Is the problem wording directly from the teacher (i.e. copied by your child), or is it a transcription of what your child related to you?
If it is the latter case, your child could call a school friend to get more information, or could talk to the teacher for details.

It came exactly that way from the teacher. I my self am a teacher and I have no clue where he was coming with this.

The thing to think of here are the days in a month whish is the hardest. They run 01 to 31 there are only two occasions when digits are repeated 11 and 22. So if we have a set of cubes

0,1,2,3,4,6,
0,1,2,7,8,5

we can do all the dates except 06. But hey if we turn the 6 over we get a 9!

To do "YY-MM-DD", we need three sets.

The geometry is a red herring unless the teacher is talking about rotation!

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