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全部分类AlgebraGeometryNumber TheoryCounting, Probability & Statistics
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1992 AMC8 #2 · Algebra · ★
Which of the following is not equal to 54\dfrac{5}{4} ?
以下哪个不等于 54\dfrac{5}{4}？

正确答案：D · 分值：1

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1992 AMC8 #3 · Algebra · ★
What is the largest difference that can be formed by subtracting two numbers chosen from the set {−16,−4,0,2,4,12}\{ -16,-4,0,2,4,12 \} ?
从集合 {−16,−4,0,2,4,12}\{-16,-4,0,2,4,12\} 中选两个数相减，能形成的最大差是多少？

正确答案：D · 分值：1

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1992 AMC8 #4 · Algebra · ★★
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 single. What percent of her hits were single?
垒球赛季中，Judy 共有 35 次安打。其中包括 1 次本垒打、1 次三垒打和 5 次二垒打，其余均为一垒打。她的安打中有百分之几是一垒打？

正确答案：E · 分值：1

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1992 AMC8 #5 · Geometry · ★★
A circle of diameter 1 is removed from a 2×32\times 3 rectangle, as shown. Which whole number is closest to the area of the shaded region?
如图所示，从一个 2×32\times 3 的矩形中移除一个直径为 1 的圆。以下哪个整数最接近着色区域的面积？

正确答案：E · 分值：1

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1992 AMC8 #6 · Algebra · ★★
Suppose that means a+b-c . For example, is 5+4-6 = 3 . Then the sum is
设 a△b△ca\triangle b\triangle c 表示 a+b-c。例如 5△4△65\triangle 4\triangle 6 是 5+4-6 = 3。则 8△5△68\triangle 5\triangle 6 与 2△7△32\triangle 7\triangle 3 的和是

正确答案：D · 分值：1

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1992 AMC8 #7 · Number Theory · ★★
The digit-sum of 998 is 9+9+8=26 . How many 3-digit whole numbers, whose digit-sum is 26 , are even?
998 的各位数字之和是 9+9+8=26。有多少个三位正整数，其各位数字之和为 26，且为偶数？

正确答案：A · 分值：1

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1992 AMC8 #8 · Algebra · ★★
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 ?
一位店主以每支 $0.10 的价格购入 1500 支铅笔。如果他以每支 $0.25 的价格出售，他必须卖出多少支才能恰好获得 $100.00 的利润？

正确答案：C · 分值：1

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1992 AMC8 #9 · Counting, Probability & Statistics · ★★
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?
一个小镇的人口是 480。图表显示了镇中女性和男性的数量，但纵轴刻度值被省略了。镇上有多少男性？

正确答案：B · 分值：1

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1992 AMC8 #10 · Geometry · ★★
An isosceles right triangle with legs of length 8 is partitioned into 16 congruent triangles as shown. The shaded area is
一个直角边长为 8 的等腰直角三角形被分成 16 个全等三角形，如图所示。着色面积是

正确答案：B · 分值：1

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1992 AMC8 #11 · Counting, Probability & Statistics · ★★★
The bar graph shows the results of a survey on color preferences. What percent preferred blue?
柱状图显示了一项颜色偏好调查的结果。偏好蓝色的百分比是多少？

正确答案：B · 分值：1

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1992 AMC8 #12 · Algebra · ★★★
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 was each tire used?
一辆汽车的五只轮胎（四只行驶轮胎和一只全尺寸备胎）被轮换使用，使得在汽车行驶的前 30,000 英里中每只轮胎使用相同的里程。每只轮胎被使用了多少英里？

正确答案：C · 分值：1

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1992 AMC8 #13 · Counting, Probability & Statistics · ★★★
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
五次考试成绩的平均数为 90，中位数为 91，众数为 94。两个最低成绩之和是

正确答案：B · 分值：1

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1992 AMC8 #14 · Algebra · ★★★
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油箱加入四加仑油后，油箱变为半满。油箱的容量是多少加仑？

正确答案：D · 分值：1

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1992 AMC8 #15 · Number Theory · ★★★
What is the 1992nd1992^\text{nd} letter in this sequence?
ABCDEDCBAABCDEDCBAABCDEDCBAABCDEDC⋯\text{ABCDEDCBAABCDEDCBAABCDEDCBAABCDEDC}\cdots
此序列中的第 1992 个字母是什么？

正确答案：C · 分值：1

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1992 AMC8 #16 · Geometry · ★★★
Which cylinder has twice the volume of the cylinder shown above?
哪个圆柱的体积是上图所示圆柱体积的两倍？

正确答案：B · 分值：1

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1992 AMC8 #17 · Geometry · ★★★
The sides of a triangle have lengths 6.5 , 10 , and ss , where ss is a whole number. What is the smallest possible value of ss ?
一个三角形的边长分别为 6.5、10 和 ss，其中 ss 是一个整数。ss 的最小可能值是多少？

正确答案：B · 分值：1

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1992 AMC8 #18 · Algebra · ★★★
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?
在一次旅行中，一辆汽车用了一个半小时行驶 80 英里，然后在交通中停了 30 分钟，然后在接下来的 2 小时内行驶了 100 英里。这 4 小时行程中汽车的平均速度是多少英里/小时？

正确答案：A · 分值：1

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1992 AMC8 #19 · Counting, Probability & Statistics · ★★★
The distance between the 5th5^\text{th} and 26th26^\text{th} exits on an interstate highway is 118 miles. If any two consecutive 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 5th5^\text{th} and 26th26^\text{th} exits?
一条州际公路上第 5 个出口与第 26 个出口之间的距离是 118 英里。如果任意两个连续的出口至少相距 5 英里，那么位于第 5 个和第 26 个出口之间的两个连续出口之间，最大可能有多少英里？

正确答案：C · 分值：1

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1992 AMC8 #20 · Geometry · ★★★
Which pattern of identical squares could NOT be folded along the lines shown to form a cube?
以下哪种全等正方形的排列不能沿所示线条折叠成一个正方体？

正确答案：D · 分值：1

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1992 AMC8 #21 · Counting, Probability & Statistics · ★★★
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 sales exceed the other's by the greatest percent?
Northside 鼓号队为一次旅行筹款。鼓手和号手分别保留了销售记录。根据双柱状图，在哪个月其中一组的销售额超过另一组，且超出的百分比最大？

正确答案：B · 分值：1

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1992 AMC8 #22 · Geometry · ★★★★
Eight 1×11\times 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?
八块 1×11\times 1 的方形瓷砖如图所示排列，其外缘形成一个周长为 14 个单位的多边形。在原图形上添加两块同样大小的瓷砖，使得每块新瓷砖至少有一条边与原图形中某块正方形的边共边。新图形的周长可能是以下哪个？

正确答案：C · 分值：1

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1992 AMC8 #23 · Counting, Probability & Statistics · ★★★
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
掷两个骰子，朝上面的数字之积大于 10 的概率是

正确答案：B · 分值：1

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1992 AMC8 #24 · Geometry · ★★★★
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 的圆如图所示排列。它们的圆心是一个正方形的顶点。着色区域的面积最接近

正确答案：A · 分值：1

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1992 AMC8 #25 · Algebra · ★★★★
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?
从一个装满水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：第三次倒出剩余的四分之一，第四次倒出剩余的五分之一，依此类推。经过多少次倾倒后，恰好剩下原来水量的十分之一？

正确答案：D · 分值：1

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