2000年AMC8竞赛试题(英文版).docVIP

Problem 1 Aunt Anna is??years old. Caitlin is??years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin? 安妮今年42岁，凯琳比柏娜小五岁，而柏娜的年龄是安妮的一半。试问凯琳今年几岁？ Problem 2 Which of these numbers is less than its reciprocal? 下列那一个数小于它的倒数？ Problem 3 How many whole numbers lie in the interval between??and?有多少个整数介于5/3和2π之间？ Problem 4 In??only??of the working adults in Carlin City worked at home. By??the at-home work force increased to?. In??there were approximately??working at home, and in??there were?. The graph that best illustrates this is在卡林市，1960年只有5%的成年工作者在家工作，至1970年在家工作人数增加到8%，1960年大约有15%的人在家工作，而在1990年则有30%。试问下面那一个图是这种情形的最佳说明 Problem 5 Each principal of Lincoln High School serves exactly one?-year term. What is the maximum number of principals this school could have during an?-year period? 林肯中学每一位校长都洽服务一次三年任期，则在8年期间林肯中学最多有几位校长？ Problem 6 Figure??is a square. Inside this square three smaller squares are drawn with the side lengths as labeled. The area of the shaded L-shaped region is右图ABCD是正方形。此正方形内有3个较小的正方形，它们的边长如图中所标示，则L行黑影区域的面积为多少？ Problem 7 What is the minimum possible product of three different numbers of the set?? 从-8，-6，-4，0，3，5，7中任取三个不同数做乘积，则最小的乘积是 Problem 8 Three dice with faces numbered 1 through 6 are stacked as shown. Seven of the eighteen faces are visible, leaving eleven faces hidden (back, bottom, between). The total number of dots NOT visible in this view is 每面标有1至6点的三颗骰子推成一串，如右图所示，其中可见七个面，而十一个面是看不到的(背面、底面，之间的面)，试问看不见的面其点数总和是 Problem 9 Three-digit powers of 2 and 5 are used in this?cross-number?puzzle. What is the only possible digit for the outlined square? 填数游戏：右方格子中横的三个格子内(自左至右)填入三位数，此三位数可表为2m(m为正整数)，纵的三个格子内(自上至下)填入三位数，此三位数可表为5n(n为正整数)；试问，粗黑的格子内只能出现那一个数字？ Problem 10 Ara and Shea were once the same height. Since then Shea has grown 20% while Ara has grow half as many inches as Shea. Shea is now 60 inches tall. How tall, in inches, is Ara now? Ara和Shea两人的身高本来相同。如今Shea又长高20%，而Ara只长高Shea所长高的一半。Shea现在的身高是60吋，则Ara现在的身高是多少吋？ Problem 11 T