... 2013 Asia Inter-Cities Teenagers Mathematics Olympiad Page 3 12. O is the centre of a circle with radius 10 cm. A line, through a point A at the distance 20 cm from O, intersects the circle at points В and С, with ...
... Each will then have 35 minutes to write the solutions of their allotted problem independently with no further discussion or exchange of problems.. The four team members are allowed 15 [r] ...
... There are 10 problems in the Team Contest, arranged in increasing order of difficulty, each problem is worth 40 points and the total is 400 points.. Each question is printed on a separ[r] ...
... You are allowed 90 minutes for this paper, consisting of 8 questions to which only numerical answers are required.. Each question is worth 10 points.[r] ...
... On the second day, the youngest brother divided all the remaining candies into five equal parts with one remaining candy, and then this youngest brother took two parts.. On the third d[r] ...
... The sum of all the numbers above the main diagonal (diagonal from the top-left cell to the bottom-right cell) is equal to three times the sum of all the numbers below the main diagonal[r] ...
... At the end of the contest, you must hand in the envelope containing the question paper, your answer sheet and all scratch papers... Each weighs an integral numbers of kilograms?[r] ...
... If (1) occurs, then Anna wins, and if (2) occurs, then Boris wins, regardless of the outcome of Boris’ last toss.. If (3) occurs, then the winner will be decided by the outcome of Bori[r] ...
... Deduced that the numbers on the diagonal should all be 11 and arrived with the correct answer, or correct answer only (without any explanation), 5 marks. In the figure below, ABCD is [r] ...
... On the second day, the youngest brother divided all the remaining candies into five equal parts with one remaining candy, and then this youngest brother took two parts.. On the third d[r] ...
... The four lines from the top vertex divide the triangle into five narrow triangles with same area. The three lines parallel to the base divide the triangle into four horizontal strips[r] ...
... Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such p[r] ...
... Republication, systematic copying, or multiple reproduction of any part of this material is permitted only under license from the Chiuchang Mathematics Foundation. Requests for such p[r] ...