Mathematica 2014

11

Ace is low and King is high and the suits also go as follows: Clubs Hearts Spades Diamonds Low---------------------------------------------High

So the Ace of Clubs is the lowest card and the King of Diamonds is the highest card. The assistant must find the Lowest, Middle and Highest ranking cards- let’s call these L, M and H. The order of these cards determines how many numbers to add the lowest value card. So, LMH=1 LHM=2 MLH=3 MHL=4 HLM=5 HML=6 The example therefore is as follows: The spectator picks out 5 cards. The assistant puts the 3 Clubs on the far left. The other cards are arranged as the 7 of Hearts, the 3 of Spades and the Ace of Diamonds. After carefully thinking, the magician says that the card faced down is the 8 of Clubs! Everyone is amazed! You may have to read it through a couple of times, to understand the trick, but I hope that this article has changed your mind on Mathemagics and that you can see quite how complex maths tricks can be.

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Division by 6

The number has to be even. If it's not, forget it. Otherwise, add up the digits and see if the sum is evenly divisible by 3. It it is, the number is evenly divisible by 6. Try 108,273,288. The digits sum to 39 which divides evenly into 13 by 3, so the number is evenly divisible by 6. If you want, you can keep adding numbers until only one digit remains and do the same thing. So in this case, 3 + 9 = 12 and 1 + 2 = 3, and 3 is evenly divisible by 3!

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