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1997 AMC8 #2 · Algebra · ★
Ahn chooses a two-digit integer, subtracts it from 200, and doubles the result. What is the largest number Ahn can get?
Ahn 选择一个两位整数，用 200 减去它，然后将结果加倍。Ahn 能得到的最大数是多少？

正确答案：D · 分值：1

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1997 AMC8 #4 · Algebra · ★
Julie is preparing a speech for her class. Her speech must last between one-half hour and three-quarters of an hour. The ideal rate of speech is 150 words per minute. If Julie speaks at the ideal rate, which of the following number of words would be an appropriate length for her speech?
Julie 正在为她的班级准备一篇演讲。她的演讲时长必须在半小时到三刻钟之间。理想的语速是每分钟 150 个单词。如果 Julie 以理想的语速讲话，以下哪个单词数对演讲来说是合适的长度？

正确答案：E · 分值：1

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1997 AMC8 #5 · Number Theory · ★★
There are many two-digit multiples of 7, but only two of the multiples have a digit sum of 10. The sum of these two multiples of 7 is
7 的两位数倍数有很多，但其中只有两个倍数的各位数字之和为 10。这两个 7 的倍数之和是

正确答案：A · 分值：1

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1997 AMC8 #6 · Algebra · ★★
In the number 74982.1035 the value of the place occupied by the digit 9 is how many times as great as the value of the place occupied by the digit 3?
在数 74982.1035 中，数字 9 所在数位的值是数字 3 所在数位的值的多少倍？

正确答案：C · 分值：1

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1997 AMC8 #7 · Geometry · ★
The area of the smallest square that will contain a circle of radius 4 is
能容纳一个半径为 4 的圆的最小正方形的面积是

正确答案：D · 分值：1

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1997 AMC8 #8 · Algebra · ★★
Walter gets up at 6:30 a.m., catches the school bus at 7:30 a.m., has 6 classes that last 50 minutes each, has 30 minutes for lunch, and has 2 hours additional time at school. He takes the bus home and arrives at 4:00 p.m. How many minutes has he spent on the bus?
Walter 早上 6:30 起床，7:30 赶校车，有 6 节课每节 50 分钟，有 30 分钟午饭时间，还有 2 小时额外在校时间。他乘校车回家，下午 4:00 到家。他在校车上花了多少分钟？

正确答案：B · 分值：1

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1997 AMC8 #9 · Counting, Probability & Statistics · ★★
Three students, with different names, line up single file. What is the probability that they are in alphabetical order from front-to-back?
三个名字各不相同的学生排成一列。他们从前到后按字母顺序排列的概率是多少？

正确答案：C · 分值：1

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1997 AMC8 #10 · Geometry · ★★
What fraction of this square region is shaded? Stripes are equal in width, and the figure is drawn to scale.
这个正方形区域中有多少比例被涂色？条纹宽度相等，图形按比例绘制。

正确答案：C · 分值：1

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1997 AMC8 #11 · Number Theory · ★★★
Let N\boxed{N} mean the number of whole number divisors of NN . For example, 3=2\boxed{3}=2 because 3 has two divisors, 1 and 3. Find the value of
11×20.\boxed{\boxed{11}\times\boxed{20}}.
令 N\boxed{N} 表示 NN 的正整数因数的个数。例如 3=2\boxed{3}=2，因为 3 有两个因数：1 和 3。求 11×20\boxed{\boxed{11}\times\boxed{20}} 的值。

正确答案：A · 分值：1

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1997 AMC8 #12 · Geometry · ★★★
∠1+∠2=180∘\angle 1 + \angle 2 = 180^\circ
∠3=∠4\angle 3 = \angle 4
Find ∠4.\angle 4.
求 ∠4\angle 4 的度数。

正确答案：D · 分值：1

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1997 AMC8 #13 · Algebra · ★★★
Three bags of jelly beans contain 26, 28, and 30 beans. The ratios of yellow beans to all beans in each of these bags are 50% , 25% , and 20% , respectively. All three bags of candy are dumped into one bowl. Which of the following is closest to the ratio of yellow jelly beans to all beans in the bowl?
三袋果冻豆分别装有 26、28 和 30 颗。这三袋中黄色豆与全部豆的比例分别是 50%、25% 和 20%。将三袋糖果全部倒入一个大碗中。黄色果冻豆与碗中全部果冻豆的比例最接近以下哪项？

正确答案：A · 分值：1

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1997 AMC8 #14 · Counting, Probability & Statistics · ★★★
There is a set of five positive integers whose average (mean) is 5, whose median is 5, and whose only mode is 8. What is the difference between the largest and smallest integers in the set?
有五个正整数组成的集合，其平均数为 5，中位数为 5，唯一的众数为 8。该集合中最大整数与最小整数之差是多少？

正确答案：D · 分值：1

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1997 AMC8 #15 · Geometry · ★★★
Each side of the large square in the figure is trisected (divided into three equal parts). The corners of an inscribed square are at these trisection points, as shown. The ratio of the area of the inscribed square to the area of the large square is
图中大正方形的每条边被三等分。在等分点处作内接正方形，如图所示。内接正方形的面积与大正方形的面积之比是

正确答案：B · 分值：1

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1997 AMC8 #16 · Algebra · ★★★
Penni Precisely buys $100 worth of stock in each of three companies: Alabama Almonds, Boston Beans, and California Cauliflower. After one year, AA was up 20%, BB was down 25%, and CC was unchanged. For the second year, AA was down 20% from the previous year, BB was up 25% from the previous year, and CC was unchanged. If A, B, and C are the final values of the stock, then
Penni Precisely 购买三家公司各 $100 的股票：Alabama Almonds、Boston Beans 和 California Cauliflower。一年后，AA 上涨 20%，BB 下跌 25%，CC 不变。第二年，AA 在前一年的基础上下跌 20%，BB 在前一年的基础上上涨 25%，CC 不变。若 A、B、C 分别是这些股票的最终价值，则

正确答案：E · 分值：1

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1997 AMC8 #17 · Geometry · ★★★
A cube has eight vertices (corners) and twelve edges. A segment, such as xx , which joins two vertices not joined by an edge is called a diagonal. Segment yy is also a diagonal. How many diagonals does a cube have?
一个正方体有八个顶点和十二条棱。像 xx 这样连接两个不被棱相连的顶点的线段称为对角线。线段 yy 也是一条对角线。一个正方体有多少条对角线？

正确答案：E · 分值：1

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1997 AMC8 #18 · Algebra · ★★★
At the grocery store last week, small boxes of facial tissue were priced at 4 boxes for $5 . This week they are on sale at 5 boxes for $4 . The percent decrease in the price per box during the sale was closest to
上周在杂货店，小盒面巾纸的售价为 4 盒 $5。本周它们打折出售，5 盒 $4。打折期间每盒价格下降的百分比最接近

正确答案：B · 分值：1

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1997 AMC8 #19 · Algebra · ★★★
If the product 32⋅43⋅54⋅65⋅…⋅ab=9\dfrac{3}{2}\cdot \dfrac{4}{3}\cdot \dfrac{5}{4}\cdot \dfrac{6}{5}\cdot \ldots\cdot \dfrac{a}{b} = 9 , what is the sum of aa and bb ?
若乘积 32⋅43⋅54⋅65⋅…⋅ab=9\dfrac{3}{2}\cdot \dfrac{4}{3}\cdot \dfrac{5}{4}\cdot \dfrac{6}{5}\cdot \ldots\cdot \dfrac{a}{b} = 9，求 aa 与 bb 之和。

正确答案：D · 分值：1

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1997 AMC8 #20 · Counting, Probability & Statistics · ★★★
A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. The probability that the product of the two numbers that land face-up exceeds 36 is
一对 8 面骰子，各面分别标有 1 到 8。每个面朝上的概率相同。两数乘积超过 36 的概率是

正确答案：A · 分值：1

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1997 AMC8 #21 · Geometry · ★★★★
Each corner cube is removed from this 3 cm×3 cm×3 cm3\text{ cm}\times 3\text{ cm}\times 3\text{ cm} cube. The surface area of the remaining figure is
从一个 3 cm×3 cm×3 cm3\text{ cm}\times 3\text{ cm}\times 3\text{ cm} 的正方体上移除每个角上的小正方体。剩余图形的表面积是

正确答案：D · 分值：1

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1997 AMC8 #22 · Algebra · ★★★
A two-inch cube (2×2×2)(2\times 2\times 2) of silver weighs 3 pounds and is worth 200 dollars. How much is a three-inch cube of silver worth?
一个 2 英寸的正方体 (2×2×2)(2\times 2\times 2) 银块重 3 磅，价值 200 美元。一个三英寸的正方体银块价值多少？

正确答案：E · 分值：1

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1997 AMC8 #23 · Number Theory · ★★★★
There are positive integers that have these properties: The sum of the squares of their digits is equal to 50 Each digit is larger than the one on it's left The product of the digits of the largest integer with both properties is
存在满足以下性质的正整数：各位数字的平方和等于 50，且每位数字都比它左边的数字大。同时满足这两个性质的最大整数，其各位数字之积是多少？

正确答案：C · 分值：1

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1997 AMC8 #24 · Geometry · ★★★★
Diameter ACEACE is divided at CC in the ratio 2:32:3 . The two semicircles, ABCABC and CDECDE , divide the circular region into an upper (shaded) region and a lower region. The ratio of the area of the upper region to that of the lower region is
直径 ACEACE 被点 CC 分成 2:32:3 的比例。两个半圆 ABCABC 和 CDECDE 将圆形区域分成上部（着色）区域和下部区域。上部区域与下部区域的面积之比是

正确答案：C · 分值：1

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1997 AMC8 #25 · Number Theory · ★★★★
All of the even numbers from 2 to 98 inclusive, excluding those ending in 0, are multiplied together. What is the rightmost digit (the units digit) of the product?
将 2 到 98（含）之间所有不以 0 结尾的偶数相乘。乘积的最右边数字（个位数字）是多少？

正确答案：D · 分值：1

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