منابع مشابه
53rd International Mathematical Olympiad
Ernest Chiu 10 West Windsor Plainsboro High School Plainsboro, NJ Paolo Gentili 10 Canyon Crest Academy San Diego, CA Courtney Guo 10 International School of Beijing Beijing, China Steven Hao 10 Lynbrook High School San Jose, CA Andrew He 9 Monta Vista High School Cupertino, CA Calvin Huang 10 Henry M Gunn High School Palo Alto, CA Shashwat Kishore 9 Unionville High School Kennett Square, PA La...
متن کاملth International Mathematical Olympiad
2. A configuration of 4027 points in the plane is called Colombian if it consists of 2013 red points and 2014 blue points, and no three of the points of the configuration are collinear. By drawing some lines, the plane is divided into several regions. An arrangement of lines is good for a Colombian configuration if the following two conditions are satisfied: • no line passes through any point o...
متن کامل51 st International Mathematical Olympiad
4. Let P be a point inside triangle ABC. The lines AP, BP, and CP intersect the circumcircle of triangle ABC again at the points K , L , and M , respectively. The tangent to at C intersects the line AB at S. Suppose that SC = SP. Prove that MK = ML. 5. In each of six boxes B1, B2, B3, B4, B5, B6 there is initially one coin. There are two types of operation allowed: Type 1: Choose a nonempty box...
متن کاملThe Olympiad Corner Republic of Moldova Xl Mathematical Olympiad
4. Two brothers sold n lambs at a price n dollars. They divide the money as follows: the elder brother took 10 dollars, the younger one took 10 dollars, the elder one took again 10 dollars and so on. At the end it turned out that the sum for the younger brother was less than 10. He took the remainder and the pen-knife of his brother. The brothers agreed that the division was correct. What is th...
متن کاملThe Olympiad Corner Croatian National Mathematical Competition
All communications about this column should be sent to Professor R.E. Woodrow, Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada. T2N 1N4. We begin this number with the problems of the IV class of the Croatian National Mathematical Competition, Novi Vinodolski, May 8{11, 1997. Thanks go to Richard Nowakowski, Canadian Team Leader to the IMO in Argentina f...
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ژورنال
عنوان ژورنال: Mathematical Olympiad series
سال: 2022
ISSN: ['1793-8570']
DOI: https://doi.org/10.1142/9789811256332_0008