• # 2018 OhioMATYC Spring Meeting

The Spring 2018 OhioMATYC Conference will be at Mohican Lodge and Conference Center April 13 & 14, 2018. Read More
• ## Welcome to the OhioMATYC

Learn about the history of the Ohio Mathematics Association of Two-Year Colleges, become a member, and more!

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• ## Problem Corner Winter Break 2016/2017

1. How many two-digit numbers are exactly 7 times the sum of their digits?

2. Two straight lines have the same y-intercept and reciprocal slopes. If the first line has slope m and x-intercept a, what is the x-intercept of

## Problem Corner Solutions Winter Break 2016/2017

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 below and also on 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