1990 AMC8 #1 · Counting, Probability & Statistics · ★★
What is the smallest sum of two 3 -digit numbers that can be obtained by placing each of the six digits 4,5,6,7,8,9 in one of the six boxes in this addition problem?
将六个数字 4,5,6,7,8,9 放入此加法算式的六个方框中各一次,能得到的两个三位数之和最小是多少?

正确答案:C · 分值:1

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1990 AMC8 #2 · Algebra ·
Which digit of 0.12345 , when changed to 9 , gives the largest number?
0.12345 中的哪一位数字改为 9 能得到最大的数?

正确答案:A · 分值:1

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1990 AMC8 #4 · Number Theory · ★★
Which of the following could not be the unit's digit [one's digit] of the square of a whole number?
以下哪个数不可能是某个整数的平方的个位数字?

正确答案:E · 分值:1

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1990 AMC8 #5 · Algebra ·
Which of the following is closest to the product (0.48017)(0.48017)(0.48017) ?
以下哪个最接近乘积 (0.48017)(0.48017)(0.48017)?

正确答案:B · 分值:1

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1990 AMC8 #7 · Algebra · ★★
When three different numbers from the set {3,2,1,4,5}\{ -3, -2, -1, 4, 5 \} are multiplied, the largest possible product is
从集合 {3,2,1,4,5}\{-3, -2, -1, 4, 5\} 中取三个不同的数相乘,最大可能的乘积是

正确答案:C · 分值:1

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1990 AMC8 #8 · Algebra · ★★
A dress originally priced at $80 was put on sale for 25% off. If 10% tax was added to the sale price, then the total selling price of the dress was
一件原价 $80 的连衣裙以 25% 折扣出售。如果打折价格再加 10% 税,则连衣裙的总售价是

正确答案:D · 分值:1

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1990 AMC8 #9 · Counting, Probability & Statistics · ★★
The grading scale shown is used at Jones Junior High. The fifteen scores in Mr. Freeman's class were: 89, 72, 54, 97, 77, 92, 85, 74, 75, 63, 84, 65, 76, 64, 67. In Mr. Freeman's class, what percent of the students received a grade of CC?
Jones 初中使用的评分标准如图所示。Mr. Freeman 班上的十五个成绩为:89, 72, 54, 97, 77, 92, 85, 74, 75, 63, 84, 65, 76, 64, 67。Mr. Freeman 班上获得 CC 成绩的学生占百分之多少?

正确答案:D · 分值:1

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1990 AMC8 #10 · Algebra · ★★
On this monthly calendar, the date behind one of the letters is added to the date behind C. If this sum equals the sum of the dates behind A and B, then the letter is
在这张月历上,其中一个字母背后的日期与 C 背后的日期相加。如果这个和等于 A 和 B 背后日期之和,则该字母是

正确答案:A · 分值:1

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1990 AMC8 #11 · Number Theory · ★★★
The numbers on the faces of this cube are consecutive whole numbers. The sum of the two numbers on each of the three pairs of opposite faces are equal. The sum of the six numbers on this cube is
此正方体面上的数字是连续的正整数。三组相对面上每组的两个数字之和相等。正方体上六个数字之和为

正确答案:E · 分值:1

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1990 AMC8 #12 · Counting, Probability & Statistics · ★★★
There are twenty-four 4-digit numbers that use each of the four digits 2, 4, 5, and 7 exactly once. Listed in numerical order from smallest to largest, the number in the 17th17\text{th} position in the list is
用数字 2457 各用一次组成的四位数共有二十四个。按从小到大的顺序排列,第 17 个数是

正确答案:B · 分值:1

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1990 AMC8 #13 · Algebra · ★★★
One proposal for new postage rates for a letter was 30¢ for the first ounce and 22¢ for each additional ounce (or fraction of an ounce). The postage for a letter weighing 4.5 ounces was
一项新的信件邮资方案为:首盎司 30 美分,之后每盎司(或部分盎司)22 美分。一封重 4.5 盎司的信件邮资为

正确答案:C · 分值:1

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1990 AMC8 #14 · Counting, Probability & Statistics · ★★★
A bag contains only blue balls and green balls. There are 6 blue balls. If the probability of drawing a blue ball at random from this bag is 14\displaystyle \frac{1}{4} , then the number of green balls in the bag is
一个袋子里只有蓝球和绿球。有 6 个蓝球。如果从袋中随机抽到蓝球的概率是 14\displaystyle \frac{1}{4},则袋中绿球的数量是

正确答案:B · 分值:1

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1990 AMC8 #15 · Geometry · ★★★
The area of this figure is 100 cm2100\text{ cm}^2 . Its perimeter is [figure consists of four identical squares]
此图形的面积为 100 cm2100\text{ cm}^2。其周长是
[图形由四个相同的正方形组成]

正确答案:E · 分值:1

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1990 AMC8 #17 · Geometry · ★★★
A straight concrete sidewalk is to be 3 feet wide, 60 feet long, and 3 inches thick. How many cubic yards of concrete must a contractor order for the sidewalk if concrete must be ordered in a whole number of cubic yards?
一条直的混凝土人行道宽 3 英尺、长 60 英尺、厚 3 英寸。如果混凝土必须按整立方码订购,承包商需要为这条人行道订购多少立方码混凝土?

正确答案:A · 分值:1

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1990 AMC8 #18 · Geometry · ★★★
Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have?
一个长方体每个角都被切掉了。显示了八个切口中的两个。新图形有多少条棱?

正确答案:C · 分值:1

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1990 AMC8 #19 · Counting, Probability & Statistics · ★★★
There are 120 seats in a row. What is the fewest number of seats that must be occupied so the next person to be seated must sit next to someone?
一排有 120 个座位。最少需要坐满多少个座位,才能使下一个入座的人必须挨着某人坐?

正确答案:B · 分值:1

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1990 AMC8 #20 · Counting, Probability & Statistics · ★★★
The annual incomes of 1,000 families range from $8200 to $98,000 . In error, the largest income was entered on the computer as $980,000 . The difference between the mean of the incorrect data and the mean of the actual data is
1,000 个家庭的年收入范围为 $8200$98,000。错误地将最大收入输入为 $980,000。错误数据的平均数与实际数据的平均数之差为

正确答案:A · 分值:1

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1990 AMC8 #21 · Algebra · ★★★★
A list of 8 numbers is formed by beginning with two given numbers. Each new number in the list is the product of the two previous numbers. Find the first number if the last three are shown:
?, , , , ,16,64,1024\text{\underline{\hspace{3 mm}?\hspace{3 mm}}\hspace{1 mm},\hspace{1 mm} \underline{\hspace{7 mm}}\hspace{1 mm},\hspace{1 mm} \underline{\hspace{7 mm}}\hspace{1 mm},\hspace{1 mm} \underline{\hspace{7 mm}}\hspace{1 mm},\hspace{1 mm} \underline{\hspace{7 mm}}\hspace{1 mm},\hspace{1 mm}\underline{\hspace{2 mm}16\hspace{2 mm}}\hspace{1 mm},\hspace{1 mm}\underline{\hspace{2 mm}64\hspace{2 mm}}\hspace{1 mm},\hspace{1 mm}\underline{\hspace{1 mm}1024\hspace{1 mm}}}
一个包含 8 个数的列表由两个给定的数开始形成。列表中每个新数都是前两个数的乘积。已知最后三个数如图所示,求第一个数。

正确答案:B · 分值:1

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1990 AMC8 #22 · Number Theory · ★★★★
Several students are seated at a large circular table. They pass around a bag containing 100 pieces of candy. Each person receives the bag, takes one piece of candy and then passes the bag to the next person. If Chris takes the first and last piece of candy, then the number of students at the table could be
几名学生围坐在一张大圆桌旁。他们传一袋装有 100 颗糖果的袋子。每人接过袋子,取一颗糖果,然后将袋子传给下一个人。如果 Chris 拿走第一颗也是最后一颗糖果,则桌旁的学生人数可能是

正确答案:B · 分值:1

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1990 AMC8 #23 · Algebra · ★★★
The graph relates the distance traveled [in miles] to the time elapsed [in hours] on a trip taken by an experimental airplane. During which hour was the average speed of this airplane the largest?
该图显示了一架实验飞机在一次飞行中已行驶距离[英里]与已用时间[小时]的关系。在哪一个小时中该飞机的平均速度最大?

正确答案:B · 分值:1

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1990 AMC8 #24 · Algebra · ★★★★
Three Δ\Delta 's and a \diamondsuit will balance nine \bullet 's. One Δ\Delta will balance a \diamondsuit and a \bullet .
How many \bullet 's will balance the two \diamondsuit 's in this balance?
三个 Δ\Delta 和一个 \diamondsuit 能平衡九个 \bullet。一个 Δ\Delta 能平衡一个 \diamondsuit 和一个 \bullet
此天平中,多少个 \bullet 能平衡两个 \diamondsuit

正确答案:C · 分值:1

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1990 AMC8 #25 · Counting, Probability & Statistics · ★★★★
How many different patterns can be made by shading exactly two of the nine squares? Patterns that can be matched by flips and/or turns are not considered different. For example, the patterns shown below are not considered different.
通过恰好给九个正方形中的两个着色,可以形成多少种不同的图案?通过翻转和/或旋转能重合的图案不算不同。例如,下面显示的图案不算不同。

正确答案:C · 分值:1

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