[PDF] Top 20 Mathematical Excalibur, Volume 3, Number 1

... Let p be a point inside the quadrilateral such 也at the segments fr個1 P to each vertex form acute. angl自明白 the two sides through 也e vertex. For individual subsαiption for 也e r[r] ... See full document

... FOK (Homantin Government Secondary School), Michael LAM Wing Young (St. Paul's College), LIN Kwong Shing (University of Illinois). and LIU Wai Kwong (Pui Tak Canossian[r] ... See full document

... Time Allowed: 4 1 2 hours. Problem 1. In the plane the points with integer coordinates are the vertices of unit squares. The squares are coloured alternately black and white (as on a chessboard). For any ... See full document

... Right: A photo of the six members of the Hong Kong Team and one of the editors (far right) taken at the Shatin Town Hall after the closing ceremony of the 35th International [r] ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document

... A 1 and A 2 ...B 1 and B 2 , and the circle passing through H with the centre the midpoint of AB intersects the line AB at C 1 and C 2 ...A 1 , A 2 , B 1 , B 2 , C 1 , C 2 lie on ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document

... | (Here we set A 2n+1 =A 1 . For a set X, let |X| denote the number of elements in X.) Problem 2. In ⊿ABC, AB=AC. Point D is the midpoint of side BC. Point E lies outside ⊿ABC such that CE⊥AB and ... See full document

... odd number of points on the ...the number of points on the two sides remain the same, except when two points are on the line during the change of ...even number of points on the ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document

... (continued on page 4) IMO 2016 Logo Design Competition Hong Kong will host the 57th International Mathematical Olympiad (IMO) in July 2016. The Organising Committee now holds the IMO 2016 Logo Design Competition ... See full document

... Problem 1. Assume the dimensions of an answer sheet to be 297 mm by 210 mm. Suppose that your pen leaks and makes some non-intersecting ink stains on the answer sheet. It turns out that the area of each ink stain ... See full document

... Kin-Yin Li, Dept of Mathematics, Hong Kong Wniversiv of Science and Technology, Clear Water Bay, Kowloon. Eight students took part in a contest with eight problems[r] ... See full document

... Problem 1. A local supermarket is responsible for the distribution of 100 supply boxes. Each box is ought to contain 10 kilograms of rice and 30 eggs. It is known that a total of 1000 kilograms of rice and 3000 ... See full document

... the volume 8, number 1 issue of Math Excalibur, we provided a number of examples of functional equation ...the volume 10, number 5 issue of Math Excalibur, problem ... See full document

... A 1 , A 2 , …,A n are located on the inside of a circle, and points B 1 , B 2 , …,B n are on the circle, so that the lines A 1 B 1 , A 2 B 2 , …, A n B n are mutually ...A 1 B 1 ... See full document

... Solution: YUNG Fai (CUHK).. Mathematical Excalibur, Vol. Leung Kau Kui College, Form 6). In each move,[r] ... See full document

... On-line: http://www.math.ust.hk/mathematical_excalibur/ The editors welcome contributions from all teachers and students. With your submission, please include your name, address, school, email, telephone ... See full document