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MathMagic Cycle 14: Level 4-6 Regular 

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    1     2     3
   ----- ----- -----   Using small chips, buttons or cutouts labeled K,
  |     |     |     |  L,M, X and Y place them in the squares in this
A |     |     |     |  order: K in A1; L in A2; X in A3; M in B1 and 
  |     |     |     |  Y in B3.
   ----- ----- -----
  |     |     |     |  Sliding horizontally (right & left) or vertically
B |     |     |     |  (up & down) one chip at a time, can you make the
  |     |     |     |  X and the Y change places?
   ----- ----- -----
                       You should be able to do it under 20 moves, but
probably in more than 12. Use a table like this one to keep track of your
moves:
         |Move#|letter| from |  to  |   Also, use this scale to rate your
         |-----+------+------+------|   results:
         |  1  |   L  |  A2  |  B2  |            12 moves: Extraordinary
         |-----+------+------+------|            -
         |     |      |      |      |            14 moves: Outstanding
         |-----+------+------+------|            -
         |     |      |      |      |            16 moves: Superior
         |-----+------+------+------|            -
         |     |      |      |      |            18 moves: Very Good
         |-----+------+------+------|            -
         |     |      |      |      |            20 moves: Great


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MathMagic Cycle 14: Level 4-6 Advanced 

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                                                  The ODD TIMES TABLE

    1 2 3 4 5 6 7 8 9 10   On an 18X18 grid we are going to create an odd
    - - - - - - - - - --   times table. Instead of writing the product un-
 1 |1 2 3 4 5 6 7 8 9      der the column and across the row, we are 
 2 |2 4 6 8 1 3            going to write the repeated sum of each number:
 3 |3 6 9 3                for 8x6=48 we need to add 4+8=12 and repeat the
 4 |4 8                    sum until we have one digit: 1+2=3
 5 |
 6 |              3        Your and your NTP's job is to complete the odd
 7 |                       table and to analyze the result, and come up
 8 |                       with some conclusions that can be turned into
 9 |                       "predictions". Look for lines of symmetry (a
10 |                       line that creates a mirror image); horizontal
                           vertical or diagonal patterns, and any opera-
                           tion that works with the numbers inside the
box. Each "prediction" that you can explain and demonstrate will be called
a hypothesis, and will give your team one point. Here is a chance to show
all the other MathMagic teams how clever you are!

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