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Mathemagic!!. Cheryl Miner Nebraska Wesleyan University cminer@nebrwesleyan.edu. Binary Magic. Pick a number 1 – 64 Which number cards does your number appear? . Think of a Number. Think of a whole number Multiply by 2 Add 6 Add the square of your original number Subtract 5

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mathemagic

Mathemagic!!

Cheryl Miner

Nebraska Wesleyan University

cminer@nebrwesleyan.edu

binary magic
Binary Magic
  • Pick a number 1 – 64
  • Which number cards does your number appear?
think of a number
Think of a Number
  • Think of a whole number
  • Multiply by 2
  • Add 6
  • Add the square of your original number
  • Subtract 5
  • Take the square root of your answer
  • Tell me the answer
  • Your original number is: _______
divining two numbers
Divining Two Numbers
  • Volunteer rolls a pair of dice
  • Multiply the number on top of one die by 2
  • Add 3 to this.
  • Multiply by 5
  • To this result, add the number on top of the 2nd die
  • Multiply this sum by 10
  • Tell me the result & I’ll tell you the two numbers rolled!
slide5
Select a number
  • Double it
  • Add 6
  • Divide by 2
  • Subtract your original number

Your number is 3

Any algebraic identity may be used as the basis of a number game.

Create your own trick for the equation:

who s hiding the coin
Who’s Hiding the Coin
  • 2-9 volunteers & assign number to each person
  • Turn your back & have someone in group hide a coin in his/her left or right hand
  • Have someone
    • Multiply the number of person concealing coin by 2
    • Add 5
    • Multiply by 5
    • Add 10
    • Add 1 if the coin is in the right hand or

Add 2 if the coin is in the left hand

    • Announce the result
  • Identify the person holding the coin and in which hand!
who s hiding the coin7
Who’s Hiding the Coin
  • 2-9 volunteers & assign number to each person
  • Turn your back & have someone in group hide a coin in his/her left or right hand
  • Have someone
    • Multiply the number of person concealing coin by 2
    • Add 5
    • Multiply by 5
    • Add 10
    • Add 1 if the coin is in the right hand or

Add 2 if the coin is in the left hand

    • Multiply by 10
    • Add 1 for penny, 2 for nickel, 3 for dime, 4 quarter, 5 for half dollar, 6 for dollar
    • Announce the result
  • Identify the person holding the coin and in which hand!
the missing 8
The Missing 8
  • Write down 12345679
  • Volunteer: Place an “x” over the digit that you like the least
  • Multiply 12345679 by a number

Answer: product will have all digits which match the number marked with the “x”

gopher magic
Gopher Magic

http://www.learnenglish.org.uk/games/magic-gopher-central.swf

missing digit
Missing Digit
  • Pick a 5-digit number & multiply by 9
  • Write down the resulting number
  • Choose any digit (except zero) and circle it.
  • Find the sum of the remaining digits.
  • Tell me the sum.
  • Your missing digit is: _________
the magic of 8
The Magic of 8
  • Multiply your phone number (without its area code) by the number 8
  • Write down:
    • The product from step 1
    • Your 7-digit phone number
    • 8
  • Add all the digits in 3 numbers
  • If the sum is more than 1 digit, then add the digits in the sum. Continue adding up digits until only one digit is left.
49 lucky number cubes
49 - Lucky Number Cubes
  • Find the following products:

Top of Red * Top of White

Bottom of Red * Bottom of White

Top of Red * Bottom of White

Bottom of Red & Top of White

  • Add the results