## First Annual UT Arlington Math Competition

January 17, 2010 by Metroplex Math Circle

UT Arlington will be hosting a Math Competition that should be of interest to many of our Math Circle participants. Here are the details:

**First Annual UT Arlington Math Competition**

**Saturday, February 6, 2010, 9:00 am – 12:00 pm**

Pickard Hall, Room 110

The University of Texas at Arlington

**Who Participates?**

Both middle-school and high-school students are welcome to participate in the competition. There is no registration fee. If you plan to attend, please indicate so on your Calculus Bowl online registration form. If you plan not to attend the Calculus Bowl, but to participate in the UT Arlington Math Competition, please contact Dr. Dimitar Grantcharov (grandim@uta.edu, 817-272-1148).

**What is the UT Arlington Math Competition?**

The competition will contain two parts: one part with about 20 multiple-choice problems, and another part containing one essay-type problem. Calculators will not be allowed. The multiple-choice problems will be at a level of compatible to the American Mathematical Contest 10 (AMC 10), while the essay-type problem will be a bit more challenging. A few sample problems are provided below.

- Which of the following numbers is a perfect square?

(A) 98!99! (B) 98! 100! (C) 99! 100! (D) 99!101! (E) 101!101!
- A square has sides of length 10, and a circle centered at one of its vertices has radius 10. What is the area of the union of the regions enclosed by the square and the circle?
- A game is played with tokens according to the following rule. In each round, the player with the most tokens gives one token to each of the other players and also places one token in the discard pile. The game ends when some player runs out of tokens. Players A, B, and C start with 15, 14, and 13 tokens, respectively. How many rounds will there be in the game?

**What is the Math Battle?**

The Math Battle is an exciting two-team problem-solving competition. Each of the two teams will receive a list of problems in advance. A jury and the teams will discuss the solutions of the problems in the afternoon.

**Prizes?**

The student with the highest score on the UT Arlington Math Competition will be awarded a $100 gift card. The top five contestants will be awarded medals and trophies.

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