Problems 2 and 5 on the IMO’2019 Paper
Problems 2 and 5 on the IMO’2019 Paper
Author(s): Sava Grozdev, Veselin NenkovSubject(s): Social Sciences, Education, School education, Vocational Education, Adult Education, Higher Education , History of Education, Inclusive Education / Inclusion
Published by: Национално издателство за образование и наука „Аз-буки“
Keywords: Olympiad; problem solving; collinear points; concyclic points; parallel lines; Reim’s theorem
Summary/Abstract: The aim of the present note is to discuss Problem 2 and Problem 5 on the IMO’2019 paper. The 60th edition of the International Mathematical Olympiad (IMO) took place in the city of Bath, United Kingdom, 11 – 22 July 2019, with the participation of 621 students from 112 countries. The event is the most prestigious scientific Olympiad for high school students. Problem 2 and Problem 5 are of mean difficulty on the paper. Problem 2 was solved fully (7 points) by 98 participants, 92 students were marked with 6points, 3 with 5 points, 6 with 4 points, 6 with 3 points, 30 with 2 points, 135 with 1 point and 251 with 0 points. The mean result of all the 621 participants in the Olympiad is 2,399.Analogously, Problem 5 was solved fully (7 points) by 250 participants, 3 students were marked with 6 points, 7 with 5 points, 5 with 4 points, 12 with 3 points, 168 with 2 points,20 with 1 point and 156 with 0 points. The mean result of all the 621 participants is 3,567.
Journal: Математика и информатика
- Issue Year: 63/2020
- Issue No: 3
- Page Range: 306-312
- Page Count: 6
- Language: English
- Content File-PDF