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Have fun performing these mathemagic tricks
for your family and friends!

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MOBIUS MYSTERY

This mathemagic trick is named after the 19th-century German mathematician and astonomer, August Ferdinand Mobius. Over 150 years ago, Mobius traveled around Germany performing mathemagic shows and this trick was one of his favorites.

What You Need
A pair of scissors
Cellophane tape
3 Strips of paper (Cut each strip about 3 inches by 28 inches)
  - Tape the first strip together with no twist
  - Tape the second strip together with a half twist
  - Tape the third strip together with a half twist

What To Do
Carefully cut the first two strips straight down the middle until you get back to where you started. If you cut correctly, you will get 2 separate circles and one big circle. Carefully cut the third strip one-third of the way from the right edge. Keep cutting until you get back to where you started (it will take twice as long), and you will get two circles connected like a chain.

Other Things To Do
Try cutting down the center of the big circle and you will be surprised with the result!

The Mathemagical Secret
This trick uses a kind of mathematics called topology. Topology is the study of shapes and what happens to those shapes when they are changed by folding, pulling, bending, twisting, or stretching.

From the book MATHEMAGIC by Raymond Blum
Sterling Publishing Company, Inc., New York, NY
Copyright 1991


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CHOCOLATE MATH

This is a delicious mathemagical calculator trick. Carefully follow the directions, and you'll be amazed by what appears in your calculator's display!

What You Need
A calculator

What To Do
1. Enter into your calculator the number of times you eat chocolate in one week.
2. Multiply that number by 2
(Always push = after you +, -, x or ÷)
3. Add 5 to that result
4. Multiply that answer by 50
5. If you ALREADY HAVE HAD your birthday this year, add 1,761
    If you HAVE NOT HAD your birthday yet this year, add 1,760
6. Subtract the year you were born from that total

Look at your answer. The last 2 digits is your age, and the digits before your age
is the number of times you eat chocolate in one week!

Click HERE to see an example.

The Mathemagical Secret
This trick was written using a kind of mathematics called algebra. Multiplying by 2 and then by 50 is just like multiplying by 100. This moves the number of times you eat chocolate over and to the left of the hundreds place. Every other operation is mathematical hocus-pocus that adds the last year you celebrated your birthday. Subtracting the year you were born reveals your age in the last 2 digits of the final total.

Similar tricks appear in the book MATHAMAZING by Raymond Blum
Sterling Publishing Company, Inc., New York, NY
Copyright 2002


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CURLEY'S TRICK

MATHAMAZING

Your friend's are thoroughly confused when you "prove" that 7 X 13 = 28!

What You Need
Paper and pencil

What To Do
Only a number magician could prove that 7 X 13 = 28. Here are three different ways to prove it. If you talk fast enough, you will be able to fool your family and friends!


     FIRST WAY -- MULTIPLICATION

            13                      7 times 3 equals 21 and
          X 7                           7 times 1 equals 7.
            21                               21 + 7 = 28
          + 7
           28                             So: 7 X 13 = 28!!


                  SECOND WAY -- DIVISION

            13            7 does not divide into 2, but it does
       7)28                divide into 8 one time. Put down
            7             the 1 and subtract 7. That leaves 21.
          21                    7 divides into 21 three times.
          21
                                You multiply to check division.

                                            13
                               So,if   7)28   then    7 X 13 = 28!!


                THIRD WAY -- ADDITION

      Multiplication is repeated addition so 7 X 13
          is seven thirteens added together.

      (22)   13    (21)
      (23)   13    (18)     Add up the column of 3's and get 21.
      (24)   13    (15)           Then add down the column of 1's
      (25)   13    (12)             and get 7 more (21 + 7 = 28).
      (26)   13    ( 9 )
      (27)   13    ( 6 )                         So: 7 X 13 = 28!!
      (28) +13    ( 3 )
               28

From the book MATHEMAGIC by Raymond Blum
Sterling Publishing Company, Inc., New York, NY
Copyright 1991


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CALCULATOR MAGIC

If you liked CHOCOLATE MATH, you'll like this calculator trick too. Carefully follow the directions, and your telephone number will magically appear in your calculator's display!

What You Need
A calculator

What To Do
1. Enter into your calculator the first 3 digits of your phone number (not area code).
2. Multiply by 80  (Always push = after you +, -, x or ÷)
3. Add 1
4. Multiply the result by 250
5. Add the last four digits of your number to the result
6. Add the last four digits again
7. Subtract 250
8. Divide by 2

Does your answer look familiar? If you didn't get your phone number, try again.

Click
HERE to see an example.

Variations
Try other phone numbers. It will work every time!

The Mathemagical Secret:
This trick was written using a kind of mathematics called algebra. Multiplying by 80 and 250 and then dividing by 2 is the same as multiplying by 10,000. This moves the first 3 digits of your phone number over and to the left of the ten-thousands place. Adding the last 4 digits of your phone number twice and then dividing by 2 is the same as adding the last four digits once. Every other operation is mathematical hocus pocus and adds an extra 250 to the total. Subtracting 250 reveals your phone number at the very end.

Similar tricks appear in the book MATHAMANIA by Raymond Blum
Sterling Publishing Company, Inc., New York, NY
Copyright 2001


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NUMBER SPIRITS

Three cards are removed from the deck at random and they are all Aces!  Then the "Number Spirits" are summoned and the fourth Ace mysteriously appears!

What You Need
A deck of playing cards

Preparation
Put an 8 card in the eighth position down from the top of the deck and put the four Aces in the ninth, tenth, eleventh, and twelve positions.
4-Ace Baffler 1

What To Do
1.  Ask your friend for a number between  10 and 20.  (10 and 20
     are not between.)   Example:17
2.  Deal that number of cards into a small pile, one card at a time.
     Place the rest of the deck next to the small pile.
4-Ace Baffler 2

3.  Ask your friend to find the sum of the digits of his number.
                                       17 ---> 1 + 7 = 8

4.  Return that many cards to the top of the big pile, one card
     at a time.
4-Ace Baffler 3

5.  Put the small pile on top of the big pile.  The top card will be the first Ace!
     Turn this card face up, show your friend, and set it aside.
6.  Repeat steps 1 - 5 with two different numbers between 10 and 20 to remove
     two more Aces.

Finally, pretend to do some supernatural hocus pocus as you ask the "Number Spirits" for a sign to help you find the last Ace.  Pretend they tell you to turn over the top card.  It will be an 8 card.  Count down eight more cards and the eighth card will be the fourth Ace!

The Mathemagical Secret
Any number between 10 and 20 minus the sum of its digits always equals 9.

From the book MATHEMAGIC by Raymond Blum
Sterling Publishing Company, Inc., New York, NY
Copyright 1991


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CHOCOLATE MATH Example

Michael likes to eat chocolate 18 times in one week!

He is 15 years old and has already had his birthday this year.
He was born in 1996.

  1. Michael eats chocolate 18 times in one week.
  2. 18 x 2 = 36
  3. 36 + 5 = 41
  4. 41 x 50 = 2050
  5. 2050 + 1,761 = 3,811
  6. 3,811 - 1996 = 1, 8 1 5

The last 2 digits (15) is Michael's age. The digits before his age (18) is the number
of times he eats chocolate in one week!

Return To The Trick




CALCULATOR MAGIC Example

Jennifer's phone number is 836-7521.

  1. Her phone number's first three digits are 836
  2. 836 x 80 = 66,880
  3. 66,880 + 1 = 66,881
  4. 66,881 x 250 = 16,720,250
  5. 16,720,250 + 7,521 = 16,727,771
  6. 16,727,771 + 7,521 = 16,735,292
  7. 16,735,292 - 250 = 16,735,042
  8. 16,735,042
÷ 2 = 836-7521 -- Jennifer's phone number!

Return To The Trick


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