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AMC8 1992

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AMC8 · 1992

Q1
\frac{10 - 9 + 8 - 7 + 6 - 5 + 4 - 3 + 2 - 1}{1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + 9} =
\frac{10 - 9 + 8 - 7 + 6 - 5 + 4 - 3 + 2 - 1}{1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + 9} =
Q2
Which of the following is not equal to \frac{5}{4}?
下列哪个不等于 \frac{5}{4}？
Q3
What is the largest difference that can be formed by subtracting two numbers chosen from the set \{-16, -4, 0, 2, 4, 12\}
从集合 \{-16, -4, 0, 2, 4, 12\} 中选择两个数相减，能形成的最大的差是多少？
Q4
During the softball season, Judy had 35 hits. Among her hits were 1 home run, 1 triple and 5 doubles. The rest of her hits were singles. What percent of her hits were singles?
在垒球赛季中，朱迪有35次安打。其中1次全垒打、1次三垒打和5次二垒打。其余的安打是单打。她单打占安打总数的百分之多少？
Q5
A circle of diameter 1 is removed from a 2£3 rectangle, as shown. Which whole number is closest to the area of the shaded region?
从2×3矩形中移除一个直径为1的圆，如图所示。阴影区域的面积最接近哪个整数？
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Q6
See the picture:
见图：
Q7
The digit-sum of 998 is 9 + 9 + 8 = 26. How many 3-digit whole numbers, whose digit-sum is 26, are even?
998 的数位和是 9 + 9 + 8 = 26。有多少个三位整数的数位和是 26 且是偶数？
Q8
A store owner bought 1500 pencils at $0.10 each. If he sells them for $0.25 each, how many of them must he sell to make a profit of exactly $100.00?
一家店主以每支 0.10 美元的价格买了 1500 支铅笔。如果他以每支 0.25 美元的价格出售，要获得恰好 100.00 美元的利润，他必须卖出多少支？
Q9
The population of a small town is 480. The graph indicates the number of females and males in the town, but the vertical scale-values are omitted. How many males live in the town?
一个小城镇的人口是 480。图表显示了镇上女性和男性的数量，但纵轴刻度值被省略了。镇上有多少男性？
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Q10
An isosceles right triangle with legs of length 8 is partitioned into 16 congruent triangles as shown. The shaded area is
一个腿长为 8 的等腰直角三角形被分割成 16 个全等的三角形，如图所示。阴影部分的面积是
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Q11
The bar graph shows the results of a survey on color preferences. What percent preferred blue?
柱状图显示了一项关于颜色偏好的调查结果。有百分之多少人喜欢蓝色？
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Q12
The five tires of a car (four road tires and a full-sized spare) were rotated so that each tire was used the same number of miles during the first 30,000 miles the car traveled. For how many miles were each tire used?
一辆车的五个轮胎（四个公路轮胎和一个全尺寸备用胎）在汽车行驶的前30,000英里中进行了轮换，使得每个轮胎的使用里程相同。每个轮胎使用了多少英里？
Q13
Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. The sum of the two lowest test scores is
五个考试成绩的平均分（均值）为90，中位数（中间成绩）为91，众数（最频繁成绩）为94。两个最低考试成绩的和是
Q14
When four gallons are added to a tank that is one-third full, the tank is then one-half full. The capacity of the tank in gallons is
向一个三分之一满的容器中加入4加仑后，容器正好是一半满。容器的容量（加仑）是
Q15
What is the 1992nd letter in this sequence?
这个序列中的第1992个字母是什么？
Q16
Which cylinder has twice the volume of the cylinder shown to the right?
哪个圆柱体的体积是右侧所示圆柱体的两倍？
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Q17
The sides of a triangle have lengths 6, 5, 10, and s, where s is a whole number. What is the smallest possible value of s?
一个三角形的边长为6、5、10和s，其中s是整数。s的最小可能值为多少？
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Q18
On a trip, a car traveled 80 miles in an hour and a half, then was stopped in traffic for 30 minutes, then traveled 100 miles during the next 2 hours. What was the car's average speed in miles per hour for the 4-hour trip?
在一趟旅行中，一辆汽车在1.5小时内行驶了80英里，然后在交通堵塞中停了30分钟，然后在接下来的2小时内行驶了100英里。这4小时旅行的汽车平均速度是多少英里/小时？
Q19
The distance between the 5th and 26th exits on an interstate highway is 118 miles. If any two exits are at least 5 miles apart, then what is the largest number of miles there can be between two consecutive exits that are between the 5th and 26th exits?
州际高速公路上第5个出口和第26个出口之间的距离是118英里。如果任意两个出口相距至少5英里，那么在第5个和第26个出口之间，两个连续出口之间可能的最大英里数是多少？
Q20
Which pattern of identical squares could NOT be folded along the lines shown to form a cube?
哪种相同正方形的图案无法沿所示线折叠成一个立方体？
Q21
Northside's Drum and Bugle Corps raised money for a trip. The drummers and bugle players kept separate sales records. According to the double bar graph, in what month did one group's sale exceed the other's by the greatest percent?
Northside的鼓乐队为旅行筹集资金。鼓手和小号手保持单独的销售记录。根据双柱状图，在哪个月一个小组的销售额超过另一个小组的百分比最大？
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Q22
Eight 1 × 1 square tiles are arranged as shown so their outside edges form a polygon with a perimeter of 14 units. Two additional tiles of the same size are added to the figure so that at least one side of each tile is shared with a side of one of the squares in the original figure. Which of the following could be the perimeter of the new figure?
八个1×1正方形瓷砖按所示排列，它们的外部边缘形成一个周长为14单位的的多边形。添加两个相同大小的瓷砖，使得每个瓷砖至少有一边与原图中一个正方形的边共享。新图形的周长可能是以下哪一个？
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Q23
If two dice are tossed, the probability that the product of the numbers showing on the tops of the dice is greater than 10 is
抛掷两个骰子，两个骰子顶面数字之积大于10的概率是
Q24
Four circles of radius 3 are arranged as shown. Their centers are the vertices of a square. The area of the shaded region is closest to
四个半径为3的圆按所示排列。它们的圆心是正方形的顶点。阴影区域的面积最接近
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Q25
One half of the water is poured out of a full container. Then one third of the remainder is poured out. Continue the process: one fourth of the remainder for the third pouring, one fifth of the remainder for the fourth pouring, etc. After how many pourings does exactly one tenth of the original water remain?
从一个满的容器中倒出一半的水。然后倒出剩余水的三分之一。继续这个过程：第三次倒出剩余水的四分之一，第四次倒出剩余水的五分之一，等等。经过多少次倒水后，剩余的正好是原来水的十分之一？
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