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Mathematics 

Math Awareness Week Contest 2006

First place went to George Ghosn of Ville Saint Laurent (Canada) and second place went to Leo Elsworth from Springfield Catholic High School.

Annie Johnson and Regal Ferrulli, both from Missouri State University, and Joshua Mullins of Ozark MO also answered all five questions correctly.


Monday: Who were the three co-discoverers of non-Euclidean geometry?

Tuesday: Born in 1906, this logician was one of the seminal figures of the 20th century. His Incompleteness Theorem led him to state:

"Either mathematics is too big for the human mind or the human mind is more than a machine."

Who was he?

Wednesday: A regular polygon has all sides congruent and all angles congruent. For example, in a regular hexagon the measure of each angle is 120 degrees. If the measure of one angle of a regular polygon is 162 degrees, how many sides does the polygon have?

Thursday: A triangular number is one that is the sum of consecutive integers beginning with 1. For example, 6 = 1 + 2 + 3 is a triangular number. What is the smallest triangular number that begins with the digits 2006...?

Friday: There are three ways to fill a 3×2 rectangle with 2×1 rectangles as shown in the figure below.

How many ways are there to fill a 3×6 rectangle with 2×1 rectangles?
How many ways are there to fill a 3×6 rectangle with 2×1 rectangles?

Answers

The answers to the questions are here.