Math Magic Pro 7 03 Crackle
Following is an excerpt from
M.Gardner,
Mathematics, Magic and Mystery
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A spectator shuffles the deck and places it on the table. The magician writes the name of a card on a piece of paper and places it face down without letting anyone see what has been written.
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Twelve cards are now dealt to the table, face down. The spectator is asked to touch any four. The touched cards are turned face up. The remaining cards are gathered and returned to the bottom of the pack.
We will assume the four face-up cards to be a three, six, ten, and king. The magician states that he will deal cards on top of each of the four, dealing enough cards to bring the total of each pile up to ten. For example, he deals seven cards on the three, counting '4, 5, 6, 7, 8, 9, 10.' Four cards are dealt on the six. No cards are dealt on the ten. Each court card counts as ten, so no cards are placed on the king.
The values of the four cards are now added: 3, 6, 10, and 10 equals 29. The spectator is handed the pack and asked to count to the 29th card. This card is turned over. The magician's prediction is now read. It is, of course, the name of the chosen card.
Method: After the deck is shuffled the magician casually notes the bottom card of the pack. It is the name of this card that he writes as his prediction. The rest works automatically. Gathering the eight cards and placing them on the bottom of the pack places the glimpsed card at the 40th position. After the cards are properly dealt, and the four face-up cards totaled, the count will invariably fall on this card. The fact that the deck is shuffled at the outset makes the trick particularly baffling.
It is interesting to note that in this trick, as well as in others based on the same principle, you may permit the spectator to assign any value, from 1 to 10, to the jacks, kings, and queens. For example, he may decide to call each jack a 3, each queen a 7, and each king a 4. This has no effect whatever on the working of the trick, but it serves to make it more mysterious. Actually, the trick requires only that the deck consist of 52 cards - it matters not in the least what these cards are. If they were all deuces the trick would work just as well. This means that a spectator can arbitrarily assign a new value to any card he wishes without affecting the success of the trick!
Further mystification may be added by stealing two cards from the pack before showing the trick. In this case ten cards are dealt on the table instead of twelve. After the trick is over, the two cards are secretly returned to the pack. Now if a spectator tries to repeat the trick exactly as he saw it, it will not work.
Copyright © 1996-2018 Alexander Bogomolny
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Here are three 'tricks' toamaze your friends.
But the really clever trickis explaining to them why these 'tricks' are maths and not magic.Like all good magicians, you should practise by trying them. Canyou explain how they work?
| Guess how much money people have in their pockets! |
Without giving you anyinformation, ask a friend to count the value of some coins andwrite the amount on a piece of paper. Then ask your friend to:
- Double the amount.
- Add the first odd prime number to the new total.
- Multiply the result by 1/4 of 20.
- Subtract the lowest common multiple of 2 and 3.
For the grand finale, youask for the final answer. Take off the last digit and you will beable to work out how much the coins are worth!
| Amaze your audience by working out not only their age but alsowhat size shoe they wear! Wow them even more by telling them howthe maths works. Give them the following directions but tell them not to show youany calculations: |
- Write down your age.
- Multiply it by 1/5 of 100.
- Add on today's date (e.g. 2 if it's the 2nd of the month).
- Multiply by 20% of 25.
- Now add on your shoe size (if it's a half size round to a wholenumber).
- Finally subtract 5 times today's date.
- Show me you final answer!
Look at the answer, thehundreds are the age and the remaining digits are the shoe size. Iffor instance somebody shows you 1105, there are 11 hundreds - theage, and the remaining digits 05 (or 5) show the shoe size.
Now, how on earth does that work?