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1991 AMC8 #5 · Geometry · ★★
A "domino" is made up of two small squares: Which of the "checkerboards" illustrated below CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes?
一块"多米诺"骨牌由两个小正方形组成： 下面哪块"棋盘"不能被整数块不重叠的多米诺骨牌完全精确地覆盖？

正确答案：B · 分值：1

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1991 AMC8 #6 · Counting, Probability & Statistics · ★★
In the table shown, which number is the largest in its column and the smallest in its row?
在所示的表格中，哪个数在其所在列最大而在其所在行最小？

正确答案：C · 分值：1

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1991 AMC8 #7 · Algebra · ★★
The value of (487,000)(12,027,300)+(9,621,001)(487,000)(19,367)(0.05)\displaystyle \frac{(487,000)(12,027,300)+(9,621,001)(487,000)}{(19,367)(0.05)} is closest to
(487,000)(12,027,300)+(9,621,001)(487,000)(19,367)(0.05)\displaystyle \frac{(487,000)(12,027,300)+(9,621,001)(487,000)}{(19,367)(0.05)} 的值最接近

正确答案：D · 分值：1

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1991 AMC8 #8 · Algebra · ★★
What is the largest quotient that can be formed using two numbers chosen from the set {−24,−3,−2,1,2,8}\{ -24, -3, -2, 1, 2, 8 \} ?
从集合 {−24,−3,−2,1,2,8}\{-24, -3, -2, 1, 2, 8\} 中选两个数，能形成的最大商是多少？

正确答案：D · 分值：1

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1991 AMC8 #9 · Counting, Probability & Statistics · ★★
How many whole numbers from 1 through 46 are divisible by either 3 or 5 or both?
从 1 到 46 的正整数中，有多少个能被 3 或 5 或两者同时整除？

正确答案：B · 分值：1

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1991 AMC8 #10 · Geometry · ★★
The area in square units of the region enclosed by parallelogram ABCDABCD is
平行四边形 ABCDABCD 所围成区域的面积是多少平方单位？

正确答案：B · 分值：1

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1991 AMC8 #11 · Counting, Probability & Statistics · ★★★
There are several sets of three different numbers whose sum is 15 which can be chosen from {1,2,3,4,5,6,7,8,9}\{ 1,2,3,4,5,6,7,8,9 \} . How many of these sets contain a 5 ?
从 {1,2,3,4,5,6,7,8,9}\{1,2,3,4,5,6,7,8,9\} 中可以选出几组三个不同数的集合，其和为 15？这些集合中有多少个包含 5？

正确答案：B · 分值：1

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1991 AMC8 #12 · Algebra · ★★★
If 2+3+43=1990+1991+1992N\displaystyle \frac{2+3+4}{3}=\frac{1990+1991+1992}{N} , then N=
若 2+3+43=1990+1991+1992N\displaystyle \frac{2+3+4}{3}=\frac{1990+1991+1992}{N}，则 N=

正确答案：D · 分值：1

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1991 AMC8 #13 · Number Theory · ★★★
How many zeros are at the end of the product
25×25×25×25×25×25×25×8×8×8?25\times 25\times 25\times 25\times 25\times 25\times 25\times 8\times 8\times 8?
乘积
25×25×25×25×25×25×25×8×8×825\times 25\times 25\times 25\times 25\times 25\times 25\times 8\times 8\times 8
末尾有多少个零？

正确答案：C · 分值：1

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1991 AMC8 #14 · Counting, Probability & Statistics · ★★★
Several students are competing in a series of three races. A student earns 5 points for winning a race, 3 points for finishing second and 1 point for finishing third. There are no ties. What is the smallest number of points that a student must earn in the three races to be guaranteed of earning more points than any other student?
几名学生在三场系列赛中竞争。赢一场得 5 分，第二名得 3 分，第三名得 1 分。没有平局。一个学生在三场比赛中至少需要获得多少分，才能保证总分超过其他任何学生？

正确答案：D · 分值：1

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1991 AMC8 #15 · Geometry · ★★★
All six sides of a rectangular solid were rectangles. A one-foot cube was cut out of the rectangular solid as shown. The total number of square feet in the surface of the new solid is how many more or less than that of the original solid?
一个长方体的六个面都是矩形。如图所示，从该长方体中切掉一个一英尺的正方体。新立体表面的总平方英尺数比原立体多还是少多少？

正确答案：C · 分值：1

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1991 AMC8 #16 · Geometry · ★★★
The 16 squares on a piece of paper are numbered as shown in the diagram. While lying on a table, the paper is folded in half four times in the following sequence:
(1) fold the top half over the bottom half
(2) fold the bottom half over the top half
(3) fold the right half over the left half
(4) fold the left half over the right half.
Which numbered square is on top after step 4 ?
一张纸上的 16 个方格如图所示编号。纸张平放在桌上，按以下顺序对折四次：
(1) 将上半部分向下对折
(2) 将下半部分向上对折
(3) 将右半部分向左对折
(4) 将左半部分向右对折。
第 4 步之后，哪个编号的方格在最上面？

正确答案：B · 分值：1

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1991 AMC8 #17 · Counting, Probability & Statistics · ★★★
An auditorium with 20 rows of seats has 10 seats in the first row. Each successive row has one more seat than the previous row. If students taking an exam are permitted to sit in any row, but not next to another student in that row, then the maximum number of students that can be seated for an exam is
一个有 20 排座位的礼堂，第一排有 10 个座位。每一排比前一排多一个座位。如果参加考试的学生可以坐在任意一排，但不能与该排其他学生相邻，那么能安排考试的最大学生数是多少？

正确答案：C · 分值：1

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1991 AMC8 #18 · Counting, Probability & Statistics · ★★★
The vertical axis indicates the number of employees, but the scale was accidentally omitted from this graph. What percent of the employees at the Gauss company have worked there for 5 years or more?
纵轴表示员工数量，但此图意外遗漏了刻度。Gauss 公司员工中工作 5 年或以上的占百分之多少？

正确答案：C · 分值：1

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1991 AMC8 #19 · Counting, Probability & Statistics · ★★★
The average (arithmetic mean) of 10 different positive whole numbers is 10 . The largest possible value of any of these numbers is
10 个不同的正整数平均数为 10。这些数中最大可能值是多少？

正确答案：C · 分值：1

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1991 AMC8 #20 · Number Theory · ★★★
In the addition problem, each digit has been replaced by a letter. If different letters represent different digits then what is the value of CC ?
在下面的加法算式中，每个数字被替换为一个字母。如果不同的字母代表不同的数字，则 CC 的值是多少？

正确答案：A · 分值：1

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1991 AMC8 #21 · Algebra · ★★★
For every 3∘3^\circ rise in temperature, the volume of a certain gas expands by 4 cubic centimeters. If the volume of the gas is 24 cubic centimeters when the temperature is 32∘32^\circ , what was the volume of the gas in cubic centimeters when the temperature was 20∘20^\circ ?
温度每升高 3∘3^\circ，某气体的体积膨胀 4 立方厘米。如果温度为 32∘32^\circ 时气体体积为 24 立方厘米，则温度为 20∘20^\circ 时气体体积是多少立方厘米？

正确答案：A · 分值：1

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1991 AMC8 #22 · Counting, Probability & Statistics · ★★★
Each spinner is divided into 3 equal parts. The results obtained from spinning the two spinners are multiplied. What is the probability that this product is an even number?
每个转盘被分成 3 等份。两个转盘所得结果相乘。乘积为偶数的概率是多少？

正确答案：D · 分值：1

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1991 AMC8 #23 · Counting, Probability & Statistics · ★★★★
The Pythagoras High School band has 100 female and 80 male members. The Pythagoras High School orchestra has 80 female and 100 male members. There are 60 females who are members in both band and orchestra. Altogether, there are 230 students who are in either band or orchestra or both. The number of males in the band who are NOT in the orchestra is
Pythagoras 高中乐队有 100 名女生和 80 名男生。Pythagoras 高中管弦乐团有 80 名女生和 100 名男生。有 60 名女生同时参加乐队和管弦乐团。共有 230 名学生参加乐队或管弦乐团或两者都参加。乐队中不在管弦乐团的男生人数是

正确答案：A · 分值：1

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1991 AMC8 #24 · Geometry · ★★★★
A cube of edge 3 cm is cut into NN smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters, then N=
一个棱长为 3 cm 的正方体被切成 NN 个小正方体，不全部大小相同。如果每个小正方体的棱长都是整数厘米，则 N=

正确答案：E · 分值：1

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1991 AMC8 #25 · Algebra · ★★★★
An equilateral triangle is originally painted black. Each time the triangle is changed, the middle fourth of each black triangle turns white. After five changes, what fractional part of the original area of the black triangle remains black?
一个等边三角形最初被涂成黑色。每变换一次，每个黑色三角形中间的四分之一变成白色。经过五次变换后，原等边三角形的面积还剩几分之几是黑色的？

正确答案：C · 分值：1

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