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The Marin Math Circle brings together students who are interested in exploring new mathematical topics and challenging problems.
In 2011/2012, there will be several levels of the circle:
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Level
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Time
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Room
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Elementary Circle
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Recommended for grades 3 and 4 |
6:30 - 7:20 pm
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Alemany Library Room 207
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Intermediate Circle
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Recommended for grades 5-8
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6:45 - 8:15 pm
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Guzman Hall Room 302
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Advanced Circle
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Recommended for grades 9-12,
or students in lower grades
who are comfortable using algebra
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6:30 - 8:30 pm
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Guzman Hall Room 301
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All sessions will be on Wednesdays during the school year, on the campus of Dominican University of California in San Rafael. The first session of 2012 will be on January 11, 2012.
Come join us for puzzles like the ones below! Want to see more problems?
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There are 100 light switches on the wall, all turned off. A hundred toddlers come by. The first toddler flips every switch. Then the second toddler flips just switches 2, 4, 6, 8, ... etc. Then the third toddler flips switches 3, 6, 9, 12, ... etc. This pattern continues until finally the 100th toddler flips just switch number 100. How may lights are turned on at the end?
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A military base has a number of identical hoverplanes. Each hoverplane can carry enough fuel to fly exactly halfway around the planet. Hoverplanes do not use any fuel while hovering stationary in the air, and hoverplanes can transfer any amount of fuel between each other while in the air. What is the minimum number of planes are that are needed so that one plane is able to get all the way around the planet and all assisting planes return safely to base?
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What is the maximum number of pieces you can divide a watermelon into with four straight cuts, if you are NOT allowed to rearrange the pieces between cuts? With five cuts?
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