Sonia takes at most three tests on any one school day and at most seven tests in any five consecutive school days. (A Friday and the following Monday are considered consecutive school days.) What is the least number of consecutive school days in which Sonia could take 20 tests?
This is a sample question from the 2008 National Mathcounts competition. Our Westmont team practices on Mondays and Wednesdays after school until four o’clock. Mr. Papcun, the coach, gives the students practice problems and helps them develop their math skills. In addition to the four-person team, the math club consists of around 10 kids, who practice in a noncompetitive environment.
The Mathcounts team competed at the state level on March 20th and 21st, after winning the regional round on February 14th. They did not win states, but hope to return next year. All seventh and eighth graders interested in learning about math may attend next year. For more information and practice problems, visit www.mathcounts.org or talk to Mr. Papcun.
(In case you’re wondering about the above problem, the answer is twelve days.)
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