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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!! 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 • Take the square root of your answer • Tell me the answer • Your original number is: _______
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!
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 • 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 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 • 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 http://www.learnenglish.org.uk/games/magic-gopher-central.swf
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 • 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 • 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