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MathMagic Cycle 14: Level K-3 Regular
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You are given three odd shaped containers that hold 3 liters, 5
liters and 8 liters each, and have no marks. You are told that all you
can do is use water to full, pour or empty the containers. Discuss with
your NTP how you would use the containers to EXACTLY measure:
a) Four liters of water
b) Six liters of water
c) One liter of water
Hint: Try filling one container and pouring into another.
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MathMagic Cycle 14: Level K-3 Advanced
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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 in 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
(Your first move doesn't have to be L)