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... 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 ... 完全なドキュメントを参照

... For problems involving more than one answer, points are given only when ALL answers are correct.. Each question is worth 5 points.[r] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... For problems involving more than one answer, points are given only when ALL answers are correct.. Each question is worth 5 points.[r] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 允許學生個人、非營利性的圖書館或公立學校合理使用 本基金會網站所提供之各項試題及其解答。可直接下載 而不須申請。 重版、系統地複製或大量重製這些資料的任何部分，必 須獲得財團法人臺北市九章數學教育基金會的授權許 可。 ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... • 8. 有一個大掛鐘矗立在公園中，上午 點被校 正為正確時間，但此掛鐘每走一分鐘，它會較 正確時間慢 秒鐘，若當天下午此掛鐘的鐘面 指針是兩點整，則此時正確的時間應是幾點幾 分？ ... 完全なドキュメントを参照

... 一、填充題 1. 若八位數 273 49 5 x y 是 495 的倍數，求 x  y 的值。 2. 已知正立方體ABCD-EFGH (如右圖)，有一隻螞蟻從A點出發，沿著正立方體的邊界 爬行，到達G點後立即停止。已知除了八個頂點之外，其餘邊界上的點都至多被螞蟻爬 行過一次，試問：從A爬行至G點共有多少條路徑可供螞蟻選擇？ ... 完全なドキュメントを参照

... 迴路位址為 (9) 。 10. 請問用 32 位元記憶體，可以儲存的最大有號整數（Largest signed integer） 是多少 (10) ？ 11. 在具有 1 條輸入線與 n 條輸出線的組合邏輯電路中，可以根據訊號線的指 示，讓 1 條輸入訊號從 n 條輸出線輸出，具有此功能的電路稱為 (11) 。 12. 在 C/C++語言中 x=2; y=(++x!=3); 這兩個指令執行完後，x 與 y 的值分別 ... 完全なドキュメントを参照

... 19. 下列何者不是計算機結構中的必要單元? (A)ALU (B)CPU (C)RAM (D)USB 20. 所謂的 32 位元或是 64 位元電腦, 是以何者為基礎來認定? (A)控制匯流排 (B)資料匯流排 (C)位址匯流排 (D)I/O 的個數 21. 有一種計算機結構，其內部指令集所能使用的指令個數並不多，但卻大量採 用暫存器來加速處理效果，這種結構的電腦稱之為：(A)CISC Computers ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照

... 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] ... 完全なドキュメントを参照