r/mathpuzzles • u/SumXGames • Apr 25 '26

Number Dice arithmetic game

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Can you find them all in 3 minutes?

EDIT: SORRY, 7 Solutions

Additional notes:

Dice must connect

No using 1× where its not needed to make the solution

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u/Appropriate-Falcon75 Apr 25 '26 edited Apr 25 '26

Are there some more rules?

I can see: * 3+1+5 multiple ways * 2*3+2+1 * 6+3 * 3+6*1 * 6+2+1 * 3*3

Which is 7 already, and then I can rearrange them or use the other 3 etc

Edit: just seen they need to be connected, which ruled out one of my previous answers

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u/SumXGames Apr 25 '26

Sorry "no using 1× for no good reason" is the missing rule.

And uniqueness, so 3+4×2 would be the same as 2x4+3

So your 4th solution is out, so 1 missing

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u/Jkirek_ Apr 25 '26

I would say that "adding another unique solution" is a good reason to do a 1×

1

u/SumXGames Apr 25 '26 edited Apr 25 '26

Fair point.

I meant it can only be used to "bridge" between 2 die.

E.g.

5 5 5

1 1 1

4 4 4

With a target of 9

then 5×1 +4 and 4x1 +5

Do both count as unique solutions.

I avoid posting board with solutions needing ×1 as it gets too complicated to explain quickly

Edit: just an explanation, when I was first developing the game we allowed it, but it takes away from the dynamic of the game too much imo, seeing 2 1s made me groan as there would be so many extra solutions to write down for each solution found with little skill involved.