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1986 AMC8 #1 · Algebra · ★
In July 1861, 366 inches of rain fell in Cherrapunji, India. What was the average rainfall in inches per hour during that month?
1861 年 7 月，印度 Cherrapunji 的降雨量为 366 英寸。该月平均每小时降雨量是多少英寸？

正确答案：A · 分值：1

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1986 AMC8 #2 · Algebra · ★
Which of the following numbers has the largest reciprocal?
以下哪个数的倒数最大？

正确答案：A · 分值：1

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1986 AMC8 #3 · Algebra · ★
The smallest sum one could get by adding three different numbers from the set {7,25,−1,12,−3}\{ 7,25,-1,12,-3 \} is
从集合 {7,25,−1,12,−3}\{7,25,-1,12,-3\} 中选三个不同的数相加，能得到的最小和是

正确答案：C · 分值：1

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1986 AMC8 #5 · Algebra · ★★
A contest began at noon one day and ended 1000 minutes later. At what time did the contest end?
某竞赛于一天中午开始，1000 分钟后结束。竞赛在什么时间结束？

正确答案：D · 分值：1

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1986 AMC8 #7 · Number Theory · ★★
How many whole numbers are between 8\sqrt8 and 80\sqrt80?
8\sqrt{8} 和 80\sqrt{80} 之间有多少个整数？

正确答案：B · 分值：1

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1986 AMC8 #9 · Counting, Probability & Statistics · ★★
Using only the paths and the directions shown, how many different routes are there from M\text{M} to N\text{N} ?
只使用所示路径和方向，从 M\text{M} 到 N\text{N} 有多少条不同路线？

正确答案：E · 分值：1

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1986 AMC8 #10 · Algebra · ★★
A picture 3 feet across is hung in the center of a wall that is 19 feet wide. How many feet from the end of the wall is the nearest edge of the picture?
一幅 3 英尺宽的画挂在宽 19 英尺的墙中央。画最近的边缘距离墙的末端有多少英尺？

正确答案：B · 分值：1

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1986 AMC8 #11 · Algebra · ★★★
If A∗B\text{A}*\text{B} means A+B2\displaystyle \frac{\text{A}+\text{B}}{2} , then ()*8 is
若 A∗B\text{A}*\text{B} 表示 A+B2\displaystyle \frac{\text{A}+\text{B}}{2}，则 (3*5)*8 等于
3∗53*5

正确答案：A · 分值：1

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1986 AMC8 #12 · Counting, Probability & Statistics · ★★★
Problem The table below displays the grade distribution of the 30 students in a mathematics class on the last two tests. For example, exactly one student received a 'D' on Test 1 and a 'C' on Test 2 (see circled entry). What percent of the students received the same grade on both tests?
下表显示了一个数学班 30 名学生最近两次考试的成绩分布。例如，恰好有一名学生考试一得了 'D'，考试二得了 'C'（见圈出的条目）。两次考试得分相同的学生占百分之多少？

正确答案：D · 分值：1

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1986 AMC8 #14 · Algebra · ★★★
If 200≤a≤400200\leq a \leq 400 and 600≤b≤1200600\leq b\leq 1200 , then the largest value of the quotient ba\displaystyle \frac{b}{a} is
若 200≤a≤400200\leq a \leq 400 且 600≤b≤1200600\leq b\leq 1200，则商 ba\displaystyle \frac{b}{a} 的最大值是

正确答案：C · 分值：1

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1986 AMC8 #15 · Algebra · ★★★
Sale prices at the Ajax Outlet Store are 50% below original prices. On Saturdays an additional discount of 20% off the sale price is given. What is the Saturday price of a coat whose original price is \textdollar180\textdollar 180?
Ajax 折扣店的促销价格为原价减 50%。周六在促销价的基础上再打 20% 的折扣。一件原价为 $180 的外套周六价格是多少？

正确答案：B · 分值：1

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1986 AMC8 #16 · Counting, Probability & Statistics · ★★★
A bar graph shows the number of hamburgers sold by a fast food chain each season. However, the bar indicating the number sold during the winter is covered by a smudge. If exactly 25% of the chain's hamburgers are sold in the fall, how many million hamburgers are sold in the winter?
一张柱状图显示了一家快餐连锁店每个季节的汉堡销量。但是，显示冬季销量的柱条被污渍遮盖了。如果该连锁店恰好 25% 的汉堡在秋季销售，冬季销售了多少百万个汉堡？

正确答案：A · 分值：1

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1986 AMC8 #17 · Number Theory · ★★★
Let oo be an odd whole number and let nn be any whole number. Which of the following statements about the whole number (o2+no)(o^2+no) is always true?
设 oo 为一个奇整数，nn 为任意整数。关于整数 (o2+no)(o^2+no)，以下哪条陈述一定成立？

正确答案：E · 分值：1

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1986 AMC8 #18 · Counting, Probability & Statistics · ★★★
A rectangular grazing area is to be fenced off on three sides using part of a 100 meter rock wall as the fourth side. Fence posts are to be placed every 12 meters along the fence including the two posts where the fence meets the rock wall. What is the fewest number of posts required to fence an area 36 m by 60 m?
一块矩形放牧区需用围墙三面围起，以一段 100 米的石墙作为第四边。围墙柱每隔 12 米竖一根，包括围墙与石墙相接处的两根柱子。围起 36 m × 60 m 的区域最少需要多少根柱子？

正确答案：B · 分值：1

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1986 AMC8 #19 · Algebra · ★★★
At the beginning of a trip, the mileage odometer read 56,200 miles. The driver filled the gas tank with 6 gallons of gasoline. During the trip, the driver filled his tank again with 12 gallons of gasoline when the odometer read 56,560 . At the end of the trip, the driver filled his tank again with 20 gallons of gasoline. The odometer read 57,060 . To the nearest tenth, what was the car's average miles-per-gallon for the entire trip?
旅行开始时，里程表读数为 56,200 英里。驾驶员给油箱加了 6 加仑汽油。旅行中，当里程表读数为 56,560 时，驾驶员又加了 12 加仑汽油。旅行结束时，驾驶员再次加满 20 加仑汽油。里程表读数为 57,060。精确到十分位，汽车整个旅行的平均每加仑英里数是多少？

正确答案：D · 分值：1

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1986 AMC8 #20 · Algebra · ★★★
The value of the expression (304)5(29.7)(399)4\displaystyle \frac{(304)^5}{(29.7)(399)^4} is closest to
表达式 (304)5(29.7)(399)4\displaystyle \frac{(304)^5}{(29.7)(399)^4} 的值最接近

正确答案：D · 分值：1

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1986 AMC8 #21 · Geometry · ★★★★
Suppose one of the eight lettered identical squares is included with the four squares in the T-shaped figure outlined. How many of the resulting figures can be folded into a topless cubical box?
假设八个标有字母的全等正方形之一与 T 形外框中的四个正方形合并。所得图形中有多少个可以折叠成一个无盖的正方体盒子？

正确答案：E · 分值：1

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1986 AMC8 #22 · Counting, Probability & Statistics · ★★★★
Alan, Beth, Carlos, and Diana were discussing their possible grades in mathematics class this grading period. Alan said, "If I get an A, then Beth will get an A." Beth said, "If I get an A, then Carlos will get an A." Carlos said, "If I get an A, then Diana will get an A." All of these statements were true, but only two of the students received an A. Which two received A's?
Alan、Beth、Carlos 和 Diana 正在讨论本评分周期他们可能的数学成绩。Alan 说："如果我得了 A，那么 Beth 会得 A。" Beth 说："如果我得了 A，那么 Carlos 会得 A。" Carlos 说："如果我得了 A，那么 Diana 会得 A。" 所有这些陈述都是真的，但只有两名学生得了 A。哪两人得了 A？

正确答案：C · 分值：1

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1986 AMC8 #23 · Geometry · ★★★★
The large circle has diameter AC\text{AC} . The two small circles have their centers on AC\text{AC} and just touch at O\text{O} , the center of the large circle. If each small circle has radius 1 , what is the value of the ratio of the area of the shaded region to the area of one of the small circles?
大圆的直径为 AC\text{AC}。两个小圆的圆心在 AC\text{AC} 上，且恰好在 O\text{O} 点（大圆的圆心）相切。如果每个小圆的半径为 1，着色区域与一个小圆的面积之比是多少？

正确答案：B · 分值：1

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1986 AMC8 #24 · Counting, Probability & Statistics · ★★★★
The 600 students at King Middle School are divided into three groups of equal size for lunch. Each group has lunch at a different time. A computer randomly assigns each student to one of three lunch groups. The probability that three friends, Al, Bob, and Carol, will be assigned to the same lunch group is approximately
King 中学的 600 名学生被平均分成三组用午餐。每组在不同的时间用餐。一台计算机随机将每名学生分配到三个午餐组之一。三个朋友 Al、Bob 和 Carol 被分到同一午餐组的概率大约是

正确答案：B · 分值：1

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1986 AMC8 #25 · Algebra · ★★★★
Which of the following sets of whole numbers has the largest average?
下列哪一组整数的平均数最大？

正确答案：D · 分值：1

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