Magic Squares!

Take a look at the 3 x 3 square.  Can you arrange the numbers from 1-9 so that every row, column and diagonal totals 15?  Let us know your arrangement…if you’re successful!

Now take the second magic square.  The number that each row, column and diagonal adds up to is called the ‘Magic Constant.’  See if you can answer the questions below.  Go on you math-magicians!!!  Go for it!  GOOD LUCK!

  1.  What is the magic constant in the 4 x 4 square?This particular square is especially ‘magic’ as some 2 x 2 squares within it also add to that number.
  2. How many of these squares can you find?
  3. What happens to the Magic Constant if you add 2 to each number in the square?
  4. What happens if you double each number?
  5. Can you make a square in which the Magic Constant is 17?  How did you do it?
  6. Can you make a square in which the Magic Constant is 38?  How did you do it?
  7. What other numbers under 100 can you make into the Magic Constant by changing all the numbers in the square in the same way?
  8. Can some be made in more than one way?
  9. Are there some numbers you really cannot make?

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