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Topic: USA Excels at 2000 IMO
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Jerry P. Becker

Posts: 16,576
Registered: 12/3/04
USA Excels at 2000 IMO
Posted: Aug 18, 2000 4:16 PM
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Press release received Thursday, July 27, 2000.

July 25, 2000

Press Release,

Contact: Titu Andreescu, Director
American Mathematics Competitions
Phone: (402) 472-2257
Fax: (402) 472-6087

Taejon, South Korea

Competing against teams representing 82 countries, a team of six
American high school students won six medals at the 41st
International Mathematical Olympiad (IMO) held in Taejon, South
Korea, July 19 and 20, 2000.

The top 12 teams and their scores out of a possible 252 points were:

China (218), Russia (215), USA (184), South Korea (172), Bulgaria
(169), Vietnam (169),Belarus (165), Taiwan (164), Hungary (156), Iran
(155), Israel (139), Romania (139).

The USA Team Leader, Titu Andreescu, Director of the American
Mathematics Competitions, asserted:

"This year's USA participation was a great success. It was called a
triple-triple: three of our students received a gold medal, three
received a silver medal, and three was the rank of our team. We have
worked very hard to prepare the team and all of the students
performed remarkably. Next year the competition will be held in
Washington, DC. We students and coaches are determined to repeat or
better this performance".

The team was also accompanied by Zuming Feng from Phillips Exeter
Academy, Exeter, New Hampshire, who was the team's Deputy Leader, and
Richard Gibbs from Fort Lewis College, Durango, Colorado, who was the
Official USA Leader Observer.

The USA team was chosen based on their performance on the 29th annual
USA Mathematical Olympiad, and additional testing that took place at
this year's Mathematical Olympiad Summer Program which was held at
the University of Nebraska-Lincoln, June 6-July 4, 2000.

Two representative questions that appeared on the 2000 IMO are as follows:

Problem 2: Let a, b, c be positive real numbers such that abc = 1.

Prove that
(a - 1 + 1/b)( b - 1 + 1/c)( c - 1 + 1/a) <= 1. (proposed by USA,
Titu Andreescu)

Problem 4: A magician has one hundred cards numbered 1 to 100. He
puts them into three boxes, a red one, a white one and a blue one, so
that each box contains at least one card.

A member of the audience selects two of the three boxes, chooses one
card from each and announces the sum of the numbers on the chosen
cards. Given this sum, the magician identifies the box from which no
card has been chosen.

How many ways are there to put all the cards into the boxes so that
this trick always works? (Two ways are considered different if at
least one card is put into a different box.) (proposed by Hungary,
Sandor Dobos)

The USA Mathematical Olympiad is a program of the Mathematical
Association of America. Additional support is provided by the Army
Research Office, the Office of Naval Research, the Microsoft
Corporation, and the University of Nebraska-Lincoln.

The 2000 USA IMO Team Members:

1. Reid Barton, Homeschooled, Arlington, MA -- GOLD Medalist

2. George Lee, Jr., Aragon High School, San Mateo, CA -- GOLD Medalist

3. Ricky Liu, Newton South High School, Newton, MA -- SILVER Medalist

4. Po-Ru Loh, James Madison Memorial HS, Madison, WI -- SILVER Medalist

5. Oaz Nir, Monta Vista HS, Saratoga, CA -- GOLD Medalist

6. Paul Valiant, Milton Academy, Belmont, MA -- SILVER Medalist

Other sponsoring organizations:

Society of Actuaries
Mu Alpha Theta
National Council of Teachers of Mathematics
Casualty Actuarial Society
American Statistical Association
American Mathematical Association of Two-Year Colleges
American Mathematical Society
American Society of Pension Actuaries
Consortium for Mathematics and its Applications
Pi Mu Epsilon
National Association of Mathematicians
School Science and Mathematics Association
Clay Mathematics Institute
Kappa Mu Epsilon
Titu Andreescu, Director
American Mathematics Competitions
University of Nebraska
1740 Vine Street
Lincoln NE 68588-0658 USA
Tel: 402-472-6566
Fax: 402-472-6087
Jerry P. Becker
Dept. of Curriculum & Instruction
Southern Illinois University
Carbondale, IL 62901-4610 USA
Phone: (618) 453-4241 [O]
(618) 457-8903 [H]
Fax: (618) 453-4244

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