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MathMagic Cycle 10: Level 10-12 Regular
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( ) Crossed Z Hexagon:
/ | \
( )--+--( ) Try placing the numbers 1 to 6 in the vertices of
| | /| of the hexagon, so that consecutive numbers (2 and
| | / | 3 or 5 and 6) are NOT joined by a line.
| |/ |
| * | How many ways of placing the numbers are there?
| /| |
| / | | If the vertical center line wasn't there, how many
( )--+--( ) arrangements would be possible?
\ | /
( )
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MathMagic Cycle 10: Level 10-12 Advanced
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By adding and subtracting the numbers in the rows below, you can
establish relationships. Using the diagram on the left, if the relation-
A B C By adding and subtracting numbers in the rows of the
2 6 8 figure on the left, one can establish that one of the
1 3 4 relationships is C - A = B, so finding the values for the
5 4 _ first and third columns should be fairly simple.
_ 2 5
Use the same general criteria to establish A B C D E
all relationships for the figure on the right 9 0 9 9 0
and find out what numbers go in column E. 5 3 2 8 6
6 2 4 8 _
7 2 5 9 _
(Thanks to Joe Anton, Houston TX) 2 1 1 3 2
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Good luck