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Problem Corner: Spring 2015

The following are sample problems from the AMATYC Faculty Mathematics League Competition held each year during the national AMATYC conference.. Solutions can be found on our website, www.ohiomatyc.org.

1. The only integer pair with a difference equal to the quotient is (4, 2). Find the sum of the only pair of positive fractions with de- nominator 8 in lowest terms with this property.

  1. 11.0
  2. 11.25
  3. 11.5
  4. 11.75
  5. 12.0

2. The interior angles of an n-gon form an arithmetic sequence with the first term 128° and common
difference 4°. There are two values of n which satisfy this condition. Find their sum.


  1. 20
  2. 21
  3. 22
  4. 25
  5. 27

3. For the function f(x), f(1) = 4. Also, f(x)*f(y) = f(x+y) + f(x – y) for all real numbers x and y. Find f(5).

  1. 720
  2. 724
  3. 728
  4. 732
  5. 736

Campus Corner: Cuyahoga Community College

Newsletter Spring 2015 FinalSince opening its doors in 1963 as Ohio’s first community college, Cuyahoga Community College (Tri-C®) has provided high quality, affordable education and programs to more than 900,000 members of the community. With four campuses and numerous other locations, Tri-C serves more than 60,000 credit and non-credit students annually in more than 1,000 credit courses in over 140 career and technical programs and liberal arts curricula. In addition, Tri-C partners with regional businesses to provide cutting-edge
training and solutions to enhance workforce development in Northeast Ohio. Tri-C graduates stay in the region – over 85 percent find jobs in Northeast Ohio, providing a pool of skilled, educated workers for area employers.

Tri-C’s Math Department is home to OhioMATYC’s current President-elect, Aaron Altose. The department actively strives to improve student retention and completion with numerous on-going student success initiatives. The faculty members continue to stay active in various professional organizations, including OhioMATYC to stay up to date on the
newest information available.