by Thomas VellaZarb on June 6th, 2005

Thomas VellaZarb

Question

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I have a set of five coloured dice with a three digit number on each face. I lost the instructions and wish to find out the trick, which involved being able to tell the total from knowing the number on one of the dice. Does this sound familiar to anyone?

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  • by Sean Leonard on June 20th, 2005

    Sean Leonard

    Had to do some searching... but, I think I found your answer. The trick is actually that you can have someone roll the five dice and quickly come up with the sum of the numbers.

    Let's say the five dice are labeled
    186-285-384-483-681-780,
    179-278-377-773-872-971,
    168-366-564-663-762-960,
    459-558-657-756-855-954,
    147-345-543-642-741-840

    The trick is to add up the last digits on each die. These are the last two digits (pad with 0 if necessary). Subtract this number from 50. These are the first two digits. Putting the two together yields the total.

    And for our roll we get 186, 377, 960, 459, 147
    6+7+0+9+7 = 29, 50-29=21, so the total is 2129.
    186+377+960+459+147 = 2129

    I'm not sure if your dice will follow the same pattern, but it's all mathematical. You can see from the numbers above that the ten's digit is the same on all faces of the die. You can also see that the hundreds digit + first digit is also the same on all faces of the die.

    I found this information at:
    http://www.mathpuzzle.com/dicetrick.txt

    Hope that helps!

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