Rules:

• Students can work together but only submit one solution with all the names.
• Individual scores = number of right answers/number of students on a team.
• New problems are unveiled on Monday, which can be found on the STEM partnership site, as well as on the MathCounts website.

Current Leading Students:

Last updated: Feb. 01

Current Problem of the Week

Brutus – The Problems
February 08, 2010

In a remote region of Canada, on an island called Ellesmere Island, researchers Dave Mech and Dean Cluff have been tracking a wolf named Brutus. The data collected through observations of Brutus and his pack have provided tremendous insight into the life of these wolves. You can track Brutus too by going to http://www.internationalwolfcenter.blogspot.com/

Brutus is out on his daily patrol. He began his day by leaving his den and walking 10 miles due north. He then turned 60 degrees toward the east and travels 10 miles. At this point, how far is Brutus from his den? Express your answer is simplest radical form.

Now Brutus hears something, so he turns 90 degrees counter-clockwise and runs 10 miles. No longer hearing the suspicious noise, he turns another 90 degrees counter-clockwise and walks another 10 miles. At this point, how far is Brutus where he was at the end of question 1? Express your answer is simplest radical form.

While on his journey, Brutus notices that there are researchers tagging arctic hares that they had captured. The researchers captured and tagged 20 hares. If next week the researchers capture 60 hares and 2 of them are tagged, how many hares should the researchers estimate that there are in their region of Ellesmere Island?

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