Answer to February 5, 2001 Problem

The A.H.S.M.E. Problem

The American High School Mathematics Examination has been given annually since March 1950. It is sponsored jointly by the Mathematical Association of America, the National Council of Teachers of Mathematics, Mu Alpha Theta, the American Mathematical Society, and other organizations.

The contest, which is administered to more than 300,000 students nationwide, consisted of 30 multiple choice questions in the past. A student received 5 points for each correct answer and 2 points for each unanswered question - to eliminate random guessing. A students earned no points for an incorrect answer.

To be listed on the Student Honor Roll, one must attain a score of 100 or better. The top score at Handley was 115 points.

Show all the ways in which a student could score 115 points.


Solution to Problem:

There are 3 ways in which a student could score 115 points. They are shown in the table below:

# Correct # Unanswered # Incorrect Score
19 10 1 115
21 5 4 115
23 0 7 115

Click here to see Handley's Top Scores on the A.H.S.M.E.



Correctly solved by:

1. Tony Alteparmakian Bakersfield, CA
2. Chad McDaniel Winchester, VA
3. Richard Mocarski Virginia Tech
4. Kirstine Wynn Winchester, VA
5. George Gaither Winchester, VA
6. David Powell Winchester, VA