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2026 AMC8 #2 · Algebra · ★★
In the array shown below, three 3s are surrounded by 2s, which are in turn surrounded by a border of 1s. What is the sum of the numbers in the array?
在下面的数组中，三个数字 3 被数字 2 包围，而这些 2 又被一圈 1 包围。该数组中所有数字之和是多少？

正确答案：C · 分值：1

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2026 AMC8 #4 · Algebra · ★
Brynn's savings decreased by 20% in July, then increased by 50% in August. Brynn's savings are now what percent of the original amount?
Brynn 的存款在七月减少了 20%，然后在八月增加了 50%。现在她的存款是原始金额的百分之多少？

正确答案：E · 分值：1

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2026 AMC8 #5 · Algebra · ★
Casey went on a road trip that covered 100 miles, stopping only for a lunch break along the way. The trip took 3 hours in total and her average speed while driving was 40 miles per hour. In minutes, how long was the lunch break?
Casey 进行了一次总路程为 100 英里的公路旅行，途中只停了一次吃午饭。整个旅程耗时 3 小时，她开车时的平均速度为每小时 40 英里。请问她的午餐休息了多长时间（以分钟计）？

正确答案：B · 分值：1

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2026 AMC8 #7 · Algebra · ★★
Mika would like to estimate how far she can ride a new model of electric bike on a fully charged battery. She completed two trips totaling 40 miles. The first trip used 1/2 of the total battery power, while the second trip used 3/10 of the total battery power. How many miles can this electric bike go on a fully charged battery?
Mika 想估算她新买的电动自行车充满电后最多能骑行多远。她完成了两次行程，总共骑行了 40 英里。第一次行程消耗了总电量的 1/2，第二次行程消耗了总电量的 3/10。这辆电动自行车充满电后最多能骑行多少英里？

正确答案：C · 分值：1

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2026 AMC8 #12 · Algebra · ★★★
In the figure below, each circle will be filled with a digit from 1 to 6. Each digit must appear exactly once. The sum of the digits in neighboring circles is shown in the box between them. What digit must be placed in the top circle?
下图中的每个圆圈需填入 1 到 6 中的一个数字，且每个数字恰好使用一次。相邻两个圆圈中的数字之和标在它们之间的方框中。顶部圆圈中必须填入哪个数字？

正确答案：D · 分值：1

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2026 AMC8 #14 · Algebra · ★★★
Jami picked three equally spaced integer numbers on the number line. The sum of the first and the second numbers is 40, while the sum of the second and third numbers is 60. What is the sum of all three numbers?
Jami 在数轴上选取了三个等间距的整数。第一个数与第二个数之和为 40，第二个数与第三个数之和为 60。这三个数的总和是多少？

正确答案：B · 分值：1

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2026 AMC8 #19 · Algebra · ★★★
Miguel is walking with his dog, Luna. When they reach the entrance to a park, Miguel throws a ball straight ahead and continues to walk at a steady pace. Luna sprints toward the ball, which stops by a tree. As soon as the dog reaches the ball, she brings it back to Miguel. Luna runs 5 times faster than Miguel walks. What fraction of the distance from the entrance to the tree will Miguel have walked when Luna returns the ball to him?
Miguel 带着他的狗 Luna 散步。当他们走到公园入口时，Miguel 向前扔出一个球并继续匀速行走。Luna 冲向球，球停在一棵树旁。Luna 一拿到球就立刻跑回 Miguel 身边。Luna 的奔跑速度是 Miguel 步行速度的 5 倍。当 Luna 把球送回给 Miguel 时，Miguel 已经走了从入口到树这段距离的几分之几？

正确答案：D · 分值：1

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2025 AMC8 #2 · Algebra · ★
The table below shows the ancient Egyptian hieroglyphs that were used to represent different numbers.
For example, the number 32 was represented by the hieroglyphs ∩∩∩∣∣\cap \cap \cap || . What number is represented by the following combination of hieroglyphs?
下表列出了古埃及象形文字中用来表示不同数字的符号。例如，数字32用（如图所示的象形文字）表示。请问以下这组象形文字表示的是哪个数字？

正确答案：B · 分值：1

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2025 AMC8 #3 · Algebra · ★
Buffalo Shuffle-o is a card game in which all the cards are distributed evenly among all players at the start of the game. When Annika and 3 of her friends play Buffalo Shuffle-o, each player is dealt 15 cards. Suppose 2 more friends join the next game. How many cards will be dealt to each player?
Buffalo Shuffle-o是一款卡牌游戏。游戏开始时，所有卡牌会平均分配给所有玩家。Annika和她的三位朋友一起玩Buffalo Shuffle-o时，每位玩家会得到15张卡牌。假设下一局又有2位朋友加入，请问每位玩家将会得到多少张卡牌？

正确答案：C · 分值：1

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2025 AMC8 #4 · Algebra · ★
Lucius is counting backward by 7 s. His first three numbers are 100 , 93 , and 86 . What is his 10 th number?
Lucius正在以7为间隔进行倒数。他倒数的前三个数是100、93和86。请问倒数的第10个数是多少？

正确答案：B · 分值：1

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2025 AMC8 #17 · Algebra · ★★★
In the land of Markovia, there are three cities: AA , BB , and CC . There are 100 people who live in AA , 120 who live in BB , and 160 who live in CC . Everyone works in one of the three cities, and a person may work in the same city where they live. In the figure below, an arrow pointing from one city to another is labeled with the fraction of people living in the first city who work in the second city. (For example, 14\displaystyle \frac{1}{4} of the people who live in AA work in BB .) How many people work in AA ?
马克维亚大陆有三座城市：A城、B城和C城。A城有100人居住，B城有120人居住，C城有160人居住。每个人都在A城、B城或C城中的一个城市工作，且有的人可能在自己居住的城市工作。下图中，从一座城市指向另一座城市的箭头上，标注了居住在第一座城市的人群中，在第二座城市工作的比例。（例如，居住在A城的人中，有1/4在B城工作。）请问有多少人在A城工作？

正确答案：D · 分值：1

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2025 AMC8 #19 · Algebra · ★★★
Two towns, AA and BB , are connected by a straight road that is 15 miles long. Travelling from city AA to town BB , the speed limit changes every 5 miles: from 25 to 40 to 20 miles per hour (mph). Two cars, one at town AA and one at town BB , start moving toward each other at the same time. They drive at exactly the speed limit in each portion of the road. How far from town AA , in miles, will the two cars meet?
A镇和B镇之间由一条15英里长的笔直公路相连。从A镇行驶到B镇，限速每5英里变化一次：依次为25英里/小时、40英里/小时和20英里/小时。两辆汽车，一辆在A镇，另一辆在B镇，它们同时出发相向而行。两车在各路段上都严格按照限速行驶。请问两车将在距离A镇多少英里处相遇？

正确答案：D · 分值：1

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2025 AMC8 #20 · Algebra · ★★★
Sarika, Dev, and Rajiv are sharing a large block of cheese. They take turns cutting off half of what remains and eating it: first Sarika eats half of the cheese, then Dev eats half of the remaining half, then Rajiv eats half of what remains, then back to Sarika, and so on. They stop when the cheese is too small to see. About what fraction of the original block of cheese does Sarika eat in total?
Sarika、Dev和Rajiv正在分享一大块奶酪。他们轮流切下奶酪剩余部分的一半并吃掉：首先Sarika吃掉一半奶酪，接着Dev吃掉剩余部分的一半，随后Rajiv吃掉剩余部分的一半，然后又轮到Sarika，如此循环往复，直到奶酪小到看不见为止。请问Sarika一共大约吃掉了这块奶酪的几分之几？

正确答案：A · 分值：1

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2024 AMC8 #1 · Algebra · ★
What is the ones digit of
请问下方算式的个位数是几？
222,222−22,222−2,222−222−22−2?222,222 - 22,222 - 2,222 - 222 - 22 - 2?

正确答案：B · 分值：1

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2024 AMC8 #2 · Algebra · ★
What is the value of this expression in decimal form? 4411+11044+441100\displaystyle \frac{44}{11} + \frac{110}{44} + \frac{44}{1100}
请问下列表达式的值用小数可以表示为哪一项？

正确答案：C · 分值：1

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2024 AMC8 #9 · Algebra · ★★
All of the marbles in Maria's collection are red, green, or blue. Maria has half as many red marbles as green marbles and twice as many blue marbles as green marbles. Which of the following could be the total number of marbles in Maria's collection?
Maria收藏有红色、绿色、蓝色三种颜色的大理石，其中红色大理石的数量是绿色大理石数量的一半，蓝色大理石数量是绿色大理石数量的两倍。请问Maria收藏的大理石总数可能是多少？

正确答案：E · 分值：1

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2024 AMC8 #10 · Algebra · ★
In January 1980, the Mauna Loa Observatory recorded carbon dioxide (CO₂) levels of 338 ppm (parts per million).
Over the years, the average CO₂ reading has increased by about 1.515 ppm per year.
What is the expected CO₂ level in January 2030, in ppm? Round your answer to the nearest integer.
1980年1月，莫纳罗亚天文台记录的二氧化碳浓度为338ppm（百万分之一)。近年来，二氧化碳浓度平均每年增加约1.515ppm。请问2030年1月的二氧化碳浓度预计为多少ppm？将答案四舍五入到最接近的整数。

正确答案：B · 分值：1

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2024 AMC8 #12 · Algebra · ★★★
Rohan keeps a total of 90 guppies in 4 fish tanks. • There is 1 more guppy in the 2nd tank than in the 1st tank. • There are 2 more guppies in the 3rd tank than in the 2nd tank. • There are 3 more guppies in the 4th tank than in the 3rd tank.
How many guppies are in the 4th tank?
Rohan 的 4 个鱼缸中一共有 90 条孔雀鱼。
• 第二个鱼缸比第一个鱼缸多 1 条孔雀鱼。 • 第三个鱼缸比第二个鱼缸多 2 条孔雀鱼。 • 第四个鱼缸比第三个鱼缸多 3 条孔雀鱼。
请问第四个鱼缸中有多少条孔雀鱼？

正确答案：E · 分值：1

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2024 AMC8 #21 · Algebra · ★★★
A group of frogs (called an army) is living in a tree. A frog turns green when in the shade and turns yellow when in the sun. Initially, the ratio of green to yellow frogs was 3:1. Then 3 green frogs moved to the sunny side and 5 yellow frogs moved to the shady side. Now the ratio is 4:1. What is the difference between the number of green frogs and the number of yellow frogs now?
一群青蛙（号称青蛙军团）生活在树上。它们在树荫中呈绿色，在阳光下又变成黄色。刚开始，绿色青蛙和黄色青蛙的数量之比是3：1。随后，3只绿色青蛙跳到阳光下，5只黄色青蛙跳到树荫下，此时数量之比变成4：1。请问现在绿色青蛙和黄色青蛙的数量相差多少？

正确答案：E · 分值：1

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2023 AMC8 #3 · Algebra · ★
Wind chill is a measure of how cold people feel when exposed to wind outside. A good estimate for wind chill can be found using this calculation:
(wind chill)=(air temperature)−0.7×(wind speed)(\text{wind chill}) = (\text{air temperature}) - 0.7 \times (\text{wind speed})
where temperature is measured in degrees Fahrenheit (∘F^{\circ}\mathrm{F}) and wind speed is measured in miles per hour (mph). Suppose the air temperature is 36∘F36^{\circ}\mathrm{F} and the wind speed is 18 mph. Which of the following is closest to the approximate wind chill?
风寒指数衡量人们在室外受风时感受到的寒冷程度。可用下面的关系式较好地估算风寒指数：
(风寒指数)=(气温)−0.7×(风速)\text{(风寒指数)} = \text{(气温)} - 0.7 \times \text{(风速)}
其中气温以华氏度（∘F^{\circ}\mathrm{F}）计量，风速以英里每小时（mph）计量。设气温为 36∘F36^{\circ}\mathrm{F}，风速为 18 mph。下列哪一项最接近此时的风寒指数？

正确答案：B · 分值：1

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2023 AMC8 #5 · Algebra · ★
A lake contains 250 trout, along with a variety of other fish. When a marine biologist catches and releases a sample of 180 fish from the lake, 30 are identified as trout. Assume that the ratio of trout to the total number of fish is the same in both the sample and the lake. How many fish are there in the lake?
湖里有 250 条鳟鱼，以及其他一些鱼类。当一位海洋生物学家从湖中捕获并释放 180 条鱼的样本时，他发现其中 30 条鱼是鳟鱼。假设在样本中鳟鱼所占的比例和湖里鳟鱼在全部鱼类中所占的比例相同。问湖里有多少条鱼？

正确答案：B · 分值：1

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2023 AMC8 #6 · Algebra · ★★
The digits 2, 0, 2, and 3 are placed in the expression below, one digit per box. What is the maximum possible value of the expression?
将数字2，0，2，3填入下面的表达式中，每个方框内填一个数字．问表达式的最大可能值是多少?

正确答案：C · 分值：1

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2023 AMC8 #10 · Algebra · ★★
Harold made a plum pie to take on a picnic. He was able to eat only 14\displaystyle \frac{1}{4} of the pie, and he left the rest for his friends. A moose came by and ate 13\displaystyle \frac{1}{3} of what Harold left behind. After that, a porcupine ate 13\displaystyle \frac{1}{3} of what the moose left behind. How much of the original pie still remained after the porcupine left?
Harold 做了一个李子派带去野餐。他只吃了这个派的 14\displaystyle \frac{1}{4}，剩下的留给他的朋友们。一只驼鹿经过，吃掉了 Harold 剩下的 13\displaystyle \frac{1}{3}。在那之后，一只豪猪吃掉了驼鹿剩下的派的 13\displaystyle \frac{1}{3}。问豪猪走后，原来的派还剩下多少？

正确答案：D · 分值：1

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2023 AMC8 #11 · Algebra · ★★★
NASA's Perseverance Rover was launched on July 30, 2020. After traveling 292,526,838292{,}526{,}838 miles, it landed on Mars in Jezero Crater about 6.5 months later. Which of the following is closest to the Rover's average interplanetary speed in miles per hour?
美国国家航空航天局（NASA）的「毅力号」火星车于 2020 年 7 月 30 日发射。它在飞行了 292,526,838 英里后，于大约 6.5 个月后着陆在火星的耶泽罗陨石坑。以下哪一个选项最接近毅力号在星际航行中的平均速度（英里每小时）？

正确答案：C · 分值：1

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2023 AMC8 #13 · Algebra · ★★★
Along the route of a bicycle race, 7 water stations are evenly spaced between the start and finish lines, as shown in the figure below. There are also 2 repair stations evenly spaced between the start and finish lines. The 3rd water station is located 2 miles after the 1st repair station. How long is the race in miles?
如下图所示，在自行车比赛路线的起点和终点之间均匀分布着7个饮用水补给站. 另外，在起点和终点之间还均匀分布着2个维修站.第三个饮用水补给站在第一个维修站后2英里处：问比赛的全程是多少英里？

正确答案：D · 分值：1

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2023 AMC8 #15 · Algebra · ★★★
Viswam walks half a mile to get to school each day. His route consists of 10 city blocks of equal length and he takes 1 minute to walk each block. Today, after walking 5 blocks, Viswam discovers he has to make a detour, walking 3 blocks of equal length instead of 1 block to reach the next corner. From the time he starts his detour, at what speed, in mph, must he walk in order to get to school at his usual time?
Viswam 每天要步行半英里去上学，他上学的路线由 10 个等长的街区组成，每走 1 个街区需要一分钟。今天，在走了 5 个街区后，Viswam 发现他必须绕路：要走 3 个等长的街区而不是 1 个街区才能到达下一个交叉路口。从他绕行开始，Viswam 必须以每小时多少英里的速度步行，才能像平常一样准时到校？

正确答案：B · 分值：1

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2023 AMC8 #16 · Algebra · ★★★
The letters P\text{P}, Q\text{Q}, and R\text{R} are entered into a 20×2020\times 20 table according to the pattern shown below. How many P\text{P}'s, Q\text{Q}'s, and R\text{R}'s will appear in the completed table?
将字母 P\text{P}、Q\text{Q}、R\text{R} 按下图所示的规律填入 20×2020\times 20 的方格表中。问在完成的表中，各会出现多少个 P\text{P}、多少个Q\text{Q}、多少个R\text{R}？

正确答案：C · 分值：1

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2023 AMC8 #25 · Algebra · ★★★★
Fifteen integers a1,a2,…,a15a_1, a_2, \dots, a_{15} are arranged in order on a number line. The integers are equally spaced and have the property that
1≤a1≤10,13≤a2≤20,and241≤a15≤250.1 \le a_1 \le 10,\quad 13 \le a_2 \le 20,\quad \text{and}\quad 241 \le a_{15} \le 250.
What is the sum of the digits of a14a_{14}?
十五个整数 a1,a2,…,a15a_1,a_2,\dots,a_{15}依次排列在数轴上．这些整数呈等距排列，并且具有以下特性
1≤a1≤10,13≤a2≤20,241≤a15≤250.1 \le a_1 \le 10,\quad 13 \le a_2 \le 20,\quad 241 \le a_{15} \le 250.
问 a14a_{14} 的各位数字之和是多少？

正确答案：A · 分值：1

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2022 AMC8 #2 · Algebra · ★
Consider these two operations as shown below. What is the value of (5 ⧫ 3) ★ 6(5 \, \blacklozenge \, 3) \, \bigstar \, 6?
考虑下图所示的两种运算。那么 (5 ⧫ 3) ★ 6(5 \, \blacklozenge \, 3) \, \bigstar \, 6 的值是多少？

正确答案：D · 分值：1

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2022 AMC8 #5 · Algebra · ★★
Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 6 years old, she received a newborn kitten as a birthday present. Today the sum of the ages of the two children and the kitten is 30 years. How many years older than Bella is Anna?
nna 和 Bella 正在一起庆祝她们的生日。五年前，当 Bella 到 6 岁的时候，她收到了一只新生的小猫作为生日礼物。今天，两个孩子与小猫的年龄之和是 30 岁。问 Anna 比 Bella 大多少岁？

正确答案：C · 分值：1

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2022 AMC8 #6 · Algebra · ★★
Three positive integers are equally spaced on a number line. The middle number is 15, and the largest number is 4 times the smallest number. What is the smallest of these three numbers?
三个正整数在数轴线上等距排列。中间的数是 15，最大的数是最小的数的 4 倍。问这三个数中最小的数是多少？

正确答案：C · 分值：1

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2022 AMC8 #7 · Algebra · ★
When the World Wide Web first became popular in the 1990 s, download speeds reached a maximum of about 56 kilobits per second. Approximately how many minutes would the download of a 4.2 -megabyte song have taken at that speed? (Note that there are 8000 kilobits in a megabyte.)
当全球互联网刚开始在 20 世纪 90 年代流行时，下载速度最高为每秒 56 千比特。以这样的速度下载一首 4.2 兆字节的歌曲大约需要多少分钟？（请注意，一兆字节相当于 8000 千比特）

正确答案：B · 分值：1

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2022 AMC8 #9 · Algebra · ★★
A cup of boiling water ( 212∘F212^{\circ}\text{F} ) is placed to cool in a room whose temperature remains constant at 68∘F68^{\circ}\text{F} . Suppose the difference between the water temperature and the room temperature is halved every 5 minutes. What is the water temperature, in degrees Fahrenheit, after 15 minutes?
一杯开水（212 华氏度）被放置在一个温度恒定为 68 华氏度的房间里进行冷却。假设水的温度和房间温度的差值每 5 分钟减半。问在 15 分钟后，水的温度是多少华氏度？

正确答案：B · 分值：1

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2022 AMC8 #10 · Algebra · ★★
One sunny day, Ling decided to take a hike in the mountains. She left her house at 8 AM , drove at a constant speed of 45 miles per hour, and arrived at the hiking trail at 10 AM . After hiking for 3 hours, Ling drove home at a constant speed of 60 miles per hour. Which of the following graphs best illustrates the distance between Ling's car and her house over the course of her trip?
在一个晴朗的日子，Ling 决定去山里远足。她早上 8 时离开家，以每小时 45 英里的恒定速度开车，在早上 10 时到达登山径。徒步运动 3 小时后，Ling 以每小时 60 英里的恒定速度开车回家。以下哪张图最好的表达了 Ling 的行程中她的汽车和她家之间的距离？

正确答案：E · 分值：1

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2022 AMC8 #11 · Algebra · ★★★
Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating 3 inches of pasta from the middle of one piece. In the end, he has $10$ pieces of pasta whose total length is 17 inches. How long, in inches, was the piece of pasta he started with?
驴 Henry 有一根很长的面条。他咬了几口面条，每次都是从一段面条的中间吃掉 3 英寸。最后，他还有 10 段面条，总长度为 17 英寸。问他开始吃的时候，那根面条的长度是多少英寸？

正确答案：D · 分值：1

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2022 AMC8 #16 · Algebra · ★★★
Four numbers are written in a row. The average of the first two is 21, the average of the middle two is 26, and the average of the last two is 30. What is the average of the first and last of the numbers?
四个数写在一行。前两个数的平均值是 21，中间两个数的平均值是 26，最后两个数的平均值是 30,。问第一个数和最后一个数的平均值是多少？

正确答案：B · 分值：1

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2022 AMC8 #20 · Algebra · ★★★
The grid below is to be filled with integers in such a way that the sum of the numbers in each row and the sum of the numbers in each column are the same. Four numbers are missing. The number x in the lower left corner is larger than the other three missing numbers. What is the smallest possible value of x ?
在下面的方格表中要填入整数，使得每行的各数之和与每列的各数之和都相同。现在有四个数缺失。左下角的数 比其他三个缺失的数都大。问 的最小可能值是多少？

正确答案：D · 分值：1

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2022 AMC8 #21 · Algebra · ★★★★
Steph scored 15 baskets out of 20 attempts in the first half of a game, and 10 baskets out of 10 attempts in the second half. Candace took 12 attempts in the first half and 18 attempts in the second. In each half, Steph scored a higher percentage of baskets than Candace. Surprisingly they ended with the same overall percentage of baskets scored. How many more baskets did Candace score in the second half than in the first?
Steph 在一场比赛的上半场有 20 次上篮，其中 15 次得分；下半场有 10 次上篮，并且 10 次都得分。Candace 在上半场有 12 次上篮，在下半场有 18 次上篮。在每个半场，Steph 的上篮得分率都比 Candace 高。但令人惊讶的是，他们整场的上篮得分率是相同的。问 Candace 在下半场比上半场上多得分几次？

正确答案：C · 分值：1

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2022 AMC8 #22 · Algebra · ★★★★
A bus takes 2 minutes to drive from one stop to the next, and waits 1 minute at each stop to let passengers board. Zia takes 5 minutes to walk from one bus stop to the next. As Zia reaches a bus stop, if the bus is at the previous stop or has already left the previous stop, then she will wait for the bus. Otherwise she will start walking toward the next stop. Suppose the bus and Zia start at the same time toward the library, with the bus 3 stops behind. After how many minutes will Zia board the bus?
一辆公共汽车从一个站开到下一个站需要 2 分钟，在每个站乘客上下车需要等待 1 分钟。Zia 从一个公共汽车站走到下一个站需要 5 分钟。当 Zia 到达一个公共汽车站时，如果公共汽车是在上一站或已经离开上一站，那么她会等待公共汽车。否则，她将走向下一站。假设公共汽车和 Zia 同时出发前往图书馆，公共汽车落后 3 站。问多少分钟以后，Zia 将登上公共汽车？

正确答案：A · 分值：1

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2020 AMC8 #1 · Algebra · ★
Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?
Luka 正在做柠檬水，准备在学校的募捐会上出售。他的配料表需要的水是糖的四倍，糖是柠檬汁的两倍。他用了 3 杯柠檬汁。他需要多少杯水？

正确答案：E · 分值：1

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2020 AMC8 #2 · Algebra · ★
Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25, and $40, respectively. They decide to split their earnings equally among themselves. In total, how much will the friend who earned $40 give to the others?
四个朋友在周末为他们的邻居打扫院子，收入分别为＄15，＄20，＄25 和＄40。他们决定平分收入。那么赚了 40 美元的那个朋友总共会给其他人多少钱？

正确答案：C · 分值：1

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2020 AMC8 #3 · Algebra · ★
Carrie has a rectangular garden that measures 6 feet by 8 feet. She plants the entire garden with strawberry plants. Carrie is able to plant 4 strawberry plants per square foot, and she harvests an average of 10 strawberries per plant. How many strawberries can she expect to harvest?
Carrie 有一个矩形的花园，尺寸是 6 英尺ｘ8 英尺。她在整个花园里都种植了草莓。Carrie 每平方英尺种植 4 棵草莓苗，并且每棵草莓苗上她可以收获 10 颗草莓。那么她可以期望总共收获多少颗草莓？

正确答案：D · 分值：1

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2020 AMC8 #4 · Algebra · ★★
Three hexagons of increasing size are shown below. Suppose the dot pattern continues so that each successive hexagon contains one more band of dots. How many dots are in the next hexagonal?
三个面积逐渐增大的六边形如下图所示。假设这种点阵模式以此规律继续，使得后一个六边形比前一个多一层点带。那么图中下一个六边形中有多少个点？

正确答案：B · 分值：1

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2020 AMC8 #5 · Algebra · ★
Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. What percent of the total capacity of the pitcher did each cup receive?
一个水罐装了总容积四分之三的菠萝汁，把水罐里所有的菠萝汁平均倒到 5 个杯子里。那么每个杯子里菠萝汁的量占了水罐总容量的百分之几？

正确答案：C · 分值：1

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2020 AMC8 #8 · Algebra · ★★
Ricardo has $2020$ coins, some of which are pennies ( 1 -cent coins) and the rest of which are nickels ( 5 -cent coins). He has at least one penny and at least one nickel. What is the difference in cents between the greatest possible and least amounts of money that Ricardo can have?
Ricardo 有 2020 枚硬币，其中一些是便士（1 美分硬币），其余的是镍币（5 美分硬币）。他有至少一枚一分便士和一枚五分镍币。Ricardo 可能拥有的最大金额和可能拥有的最小金额相差多少美分？

正确答案：C · 分值：1

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2020 AMC8 #11 · Algebra · ★★★
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
放学后，Maya 和 Naomi 出发去距学校 6 英里的沙滩。Maya 决定骑车去，而 Naomi 坐公交车去。下图展示了他们的行程，显示了时间和所走路程的关系。那么 Naomi 和 Maya 的平均速度之差是多少英里每小时？

正确答案：E · 分值：1

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2020 AMC8 #13 · Algebra · ★★★
Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After adding more purple socks, Jamal noticed that there is now a 60% chance that a sock randomly selected from the drawer is purple. How many purple socks did Jamal add?
Jamal 有个抽屉，里面有 6 只绿色袜子，18 只紫色袜子，12 只橙色袜子。当加了更多紫色袜子后，Jamal 发现，从抽屉里随机抽取一只袜子，有 60％的概率是紫色的。那么 Jamal 加了多少只紫袜子？

正确答案：B · 分值：1

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2020 AMC8 #15 · Algebra · ★★★
Suppose 15% of xx equals 20% of $y.$ What percentage of xx is $y?$
假设 x 的 15％等于 y 的 20％．那么 x 的百分之几是 y?

正确答案：C · 分值：1

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2020 AMC8 #24 · Algebra · ★★★★
A large square region is paved with n^2 gray square tiles, each measuring s inches on a side. A border d inches wide surrounds each tile. The figure below shows the case for n=3 . When n=24 , the 576 gray tiles cover 64% of the area of the large square region. What is the ratio ds\displaystyle \frac{d}{s} for this larger value of n?
一个大正方形区域用 n2n^2 块灰色方形瓷砖铺成，每块边长为 ss 英寸。每块瓷砖四周都有宽 dd 英寸的边框。下图为 n=3 的情形。当 n=24 时，576 块灰色瓷砖覆盖了大正方形面积的 64％。那么对于这个较大的 nn 值，ds\displaystyle \frac{d}{s} 的比值是多少？

正确答案：A · 分值：1

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2019 AMC8 #1 · Algebra · ★
Ike and Mike go into a sandwich shop with a total of $30.00 to spend. Sandwiches cost $4.50 each and soft drinks cost $1.00 each. Ike and Mike plan to buy as many sandwiches as they can, and use any remaining money to buy soft drinks. Counting both sandwiches and soft drinks, how many items will they buy?
Ike 和 Mike 带着总共 30 美元去一家三明治商店，每块三明治价格 4.5 美元，每瓶软饮价格 1 美元。Ike 和 Mike 打算尽可能多的买三明治，然后用剩下的钱去买软饮料，那么三明治和软饮总个数加起来，他们将买多少件物品？

正确答案：D · 分值：1

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2019 AMC8 #3 · Algebra · ★★
Which of the following is the correct order of the fractions 1511,1915\displaystyle \frac{15}{11},\frac{19}{15}, and 1713\displaystyle \frac{17}{13}, from least to greatest?
下列哪个是把分数 1511\displaystyle \frac{15}{11}、1915\displaystyle \frac{19}{15}、1713\displaystyle \frac{17}{13} 从小到大排列的正确顺序？

正确答案：E · 分值：1

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2019 AMC8 #5 · Algebra · ★
A tortoise challenges a hare to a race. The hare eagerly agrees and quickly runs ahead, leaving the slow-moving tortoise behind. Confident that he will win, the hare stops to take a nap. Meanwhile, the tortoise walks at a slow steady pace for the entire race. The hare awakes and runs to the finish line, only to find the tortoise already there. Which of the following graphs matches the description of the race, showing the distance dd traveled by the two animals over time tt from start to finish?
乌龟向野兔发起挑战赛跑，野兔开心的同意了，然后迅速跑到了前面，把行动迟缓的乌龟甩在了后面，野兔很自信自己会赢，于是停下来打了个盹，同时，乌龟以缓慢但恒定的速度走完了全程。野兔醒了，当它跑到终点时，发现乌龟已经在那里了。下面哪张图和上述对比赛的描述相匹配，并正确的展示了这 2 只动物走过的距离 d 与从开始到结束这段时间 t 的关系？

正确答案：B · 分值：1

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2019 AMC8 #8 · Algebra · ★★
Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. Then Gilda gives 10% of what is left to another friend, Ebony. Finally, Gilda gives 25% of what is now left in the bag to her brother Jimmy. What percentage of her original bag of marbles does Gilda have left for herself?
Gilda 有一包玻璃球，她把其中 20％给了她的朋友 Pedro，接着她把剩下的 10％给了另一个朋友 Ebony，最后 Gilda 把包里当前剩下的 25％给了她弟弟 Jimmy。问 Gilda 给她自己留了原来玻璃球总数的百分之多少？

正确答案：E · 分值：1

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2019 AMC8 #16 · Algebra · ★★★
Qiang drives 15 miles at an average speed of 30 miles per hour. How many additional miles will he have to drive at 55 miles per hour to average 50 miles per hour for the entire trip?
Qiang 以 30 英里每小时的平均速度行驶了 15 英里。问他还需要以 55 英里每小时的速度行驶多少英里，这样可以使得全程的平均速度为 50 英里每小时？

正确答案：D · 分值：1

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2019 AMC8 #20 · Algebra · ★★★
How many different real numbers xx satisfy the equation
(x2−5)2=16?(x^{2}-5)^{2}=16?
有多少个不同的实数 x 满足方程

正确答案：D · 分值：1

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2019 AMC8 #22 · Algebra · ★★★★
A store increased the original price of a shirt by a certain percent and then lowered the new price by the same amount. Given that the resulting price was 84% of the original price, by what percent was the price increased and decreased?
一家商店把衬衫的原价提高了某个百分数，然后又把新价降低了同样的百分数。已知最终的价格是原价的 84％.问价格升高和降低了百分之多少?

正确答案：E · 分值：1

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2018 AMC8 #1 · Algebra · ★
An amusement park has a collection of scale models, with a ratio of 1:201: 20 , of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its duplicate to the nearest whole number?
一个游乐公园有一系列美国国内建筑和其他景观的模型，与实际建筑的比例为 1：20．美国国会大厦的实际高为 289 英尺，那么它的模型复制品的高度是多少英尺？结果四舍五入到整数。

正确答案：A · 分值：1

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2018 AMC8 #6 · Algebra · ★★
On a trip to the beach, Anh traveled 50 miles on the highway and 10 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 30 minutes driving on the coastal road, how many minutes did his entire trip take?
在去海滩的路上，Anh 先在高速上开了 50 英里，然后在沿海通道上开了 10 英里。他在高速上的开车速度是在沿海通道上的 3 倍。若 Anh 在沿海通道上开了 30 分钟，那么他全程开了多少分钟？

正确答案：C · 分值：1

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2018 AMC8 #10 · Algebra · ★
The harmonic mean of a set of non-zero numbers is the reciprocal of the average of the reciprocals of the numbers. What is the harmonic mean of 1, 2, and 4?
一组数的调和平均值定义为这组数各自的倒数的平均值的倒数。那么 1,2 和 4 的调和平均值是多少？

正确答案：C · 分值：1

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2018 AMC8 #12 · Algebra · ★★★
The clock in Sri's car, which is not accurate, gains time at a constant rate. One day as he begins shopping, he notes that his car clock and his watch (which is accurate) both say 12:00 noon. When he is done shopping, his watch says 12:30 and his car clock says 12:35. Later that day, Sri loses his watch. He looks at his car clock and it says 7:00. What is the actual time?
的汽车上的钟表是不准确的，以一个恒定的速度增加时间。一天当他开始购物时，他发现他汽车上的钟表和他的手表(手表是准确的)的读数都是中午 12：00．当他结束购物后，他的手表读数是 12：30，而他的汽车钟表显示 12：35．那一天晚些时候，Sri 丢了手表，他看了看汽车钟表，读数为晚上 7：00，则实际时间是晚上几点？

正确答案：B · 分值：1

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2018 AMC8 #13 · Algebra · ★★★
Lalia took five math tests, each worth a maximum of 100 points. Laila's score on each test was an integer between 0 and 100, inclusive. Laila received the same score on the first four tests, and she received a higher score on the last test. Her average score on the five tests was 82. How many values are possible for Laila's score on the last test?
参加了 5 场数学考试，每场考试的满分都是 100 分。Laila 每场考试的得分都是 0 到 100 之间(包括 0 和 100)的整数。Laila 前四场考试得分相同，最后一场考试得分比前四场每场得分都高。已知五场考试的平均分是 82 分，那么最后一场考试的得分可能有多少个取值？

正确答案：A · 分值：1

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2018 AMC8 #17 · Algebra · ★★★
Bella begins to walk from her house toward her friend Ella's house. At the same time, Ella begins to ride her bicycle toward Bella's house. They each maintain a constant speed, and Ella rides 5 times as fast as Bella walks. The distance between their houses is 2 miles, which is 10,560 feet, and Bella covers 212\displaystyle 2\tfrac{1}{2} feet with each step. How many steps will Bella take by the time she meets Ella?
Bella 开始从她家步行去她朋友 Ella 的家。同时，Ella 骑着自行车开始向 Bella 的家出发。她们均保持各自恒定的速度，并且 Ella 骑车的速度是 Bella 行走速度的 5 倍。她们家相距 2 英里，即 10,560 英尺，已知 Bella 每步长为 212\displaystyle 2\tfrac{1}{2} 英尺，那么当 Bella 和 Ella 相遇时，Bella 走了多少步？

正确答案：A · 分值：1

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2017 AMC8 #3 · Algebra · ★★
What is the value of the expression 1684\sqrt{16\sqrt{8\sqrt{4}}} ?
表达式

正确答案：C · 分值：1

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2017 AMC8 #4 · Algebra · ★
When 0.000315 is multiplied by 7,928,564 the product is closest to which of the following?
当 0.000315 乘以 7,928,564，乘积最接近下面哪个数？

正确答案：D · 分值：1

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2017 AMC8 #9 · Algebra · ★★
All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles that Marcy could have?
Marcy 的玻璃球只有蓝色，红色，绿色和黄色这 4 种颜色。她的玻璃缘的三分之一是蓝色，四分之一是红色，6 个玻璃球是绿色，那么黄色玻璃球的最小数目是多少个？

正确答案：D · 分值：1

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2017 AMC8 #11 · Algebra · ★★★
A square-shaped floor is covered with congruent square tiles. If the total number of tiles that lie on the two diagonals is 37, how many tiles cover the floor?
一个正方形的地板由一些全等的方形瓷砖覆盖。若两条对角线上的瓷砖总个数是 37，那么铺这个地板总共用了多少块瓷砖？

正确答案：C · 分值：1

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2017 AMC8 #14 · Algebra · ★★★
Chloe and Zoe are both students in Ms. Demeanor's math class. Last night, they each solved half of the problems in their homework assignment alone and then solved the other half together. Chloe had correct answers to only 80% of the problems she solved alone, but overall 88% of her answers were correct. Zoe had correct answers to 90% of the problems she solved alone. What was Zoe's overall percentage of correct answers?
Chloe 和 Zoe 都是 Demeanor 女士数学课上的学生。昨晚她俩各自解决了家庭作业上一半的题目，接着共同解决了剩下的一半。Chloe 自己单独解决的题目里，正确率是 80％，但算上共同完成的题目，总的来说，她的正确率是 88％．Zoe 自已单独解决的题目里，正确率是 90％，问总的来说，Zoe 的正确率是多少？

正确答案：C · 分值：1

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2017 AMC8 #17 · Algebra · ★★★
Starting with some gold coins and some empty treasure chests, I tried to put 9 gold coins in each treasure chest, but that left 2 treasure chests empty. So instead I put 6 gold coins in each treasure chest, but then I had $3$ gold coins left over. How many gold coins did I have?
我有一些金币和若干财宝箱。我尝试在每个财宝箱里放 9 枚金币，那么还剩 2 个财宝箱是空的。若我在每个财宝箱里放 6 枚金币，那么还剩 3 枚金币无处可放。问我有多少枚金币？

正确答案：C · 分值：1

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2017 AMC8 #21 · Algebra · ★★★★
Suppose a , b , and c are nonzero real numbers, and a+b+c=0 . What are the possible value(s) for a∣a∣+b∣b∣+c∣c∣+abc∣abc∣\displaystyle \frac{a}{|a|}+\frac{b}{|b|}+\frac{c}{|c|}+\frac{abc}{|abc|} ?
设 aa、bb、cc 都是非零实数，且 a+b+c=0。那么 a∣a∣+b∣b∣+c∣c∣+abc∣abc∣\displaystyle \frac{a}{|a|}+\frac{b}{|b|}+\frac{c}{|c|}+\frac{abc}{|abc|} 的可能取值有哪些？

正确答案：A · 分值：1

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2016 AMC8 #1 · Algebra · ★
The longest professional tennis match ever played lasted a total of 11 hours and 5 minutes. How many minutes was this?
时间最长的职业网球赛总共持续了 11 小时 5 分钟。问一共多少分钟？

正确答案：C · 分值：1

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2016 AMC8 #4 · Algebra · ★★
When Cheenu was a boy, he could run 15 miles in 3 hours and 30 minutes. As an old man, he can now walk 10 miles in 4 hours. How many minutes longer does it take for him to walk a mile now compared to when he was a boy?
当 Cheenu 还是个孩子时，他 3 小时 30 分钟内可以跑 15 英里，现在他是个老人，4 小时内可以走 10 英里。现在的他和当他还是个孩子时比起来，行过 1 英里需要多花多少分钟？

正确答案：B · 分值：1

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2016 AMC8 #8 · Algebra · ★★
Find the value of the expression: 100−98+96−94+92−90+⋯+8−6+4−2100-98+96-94+92-90+\cdots+8-6+4-2.
计算下面表达式的值

正确答案：C · 分值：1

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2016 AMC8 #10 · Algebra · ★★
Suppose that a * b means 3a-b. What is the value of xx if
2∗(5∗x)=12 * (5 * x)=1
假设 a * b 表示 3a-b。若 2 * (5 * x) = 1，那么 xx 的值是多少？

正确答案：D · 分值：1

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2016 AMC8 #11 · Algebra · ★★★
Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is 132.
有多少个两位数满足下面的性质：当把这个两位数的十位数字和个位数字调换位置所形成的新的数与原来的数相加，所得的和是 132．

正确答案：B · 分值：1

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2016 AMC8 #12 · Algebra · ★★★
Jefferson Middle School has the same number of boys and girls. 34\displaystyle \frac{3}{4} of the girls and 23\displaystyle \frac{2}{3} of the boys went on a field trip. What fraction of the students on the field trip were girls?
Jefferson 中学的男生和女生数目相同。 的女生和 的男生去郊游。那么这些去郊游的学生中，有多少比例是女生？

正确答案：B · 分值：1

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2016 AMC8 #14 · Algebra · ★★★
Karl's car uses a gallon of gas every 35 miles, and his gas tank holds 14 gallons when it is full. One day, Karl started with a full tank of gas, drove 350 miles, bought 8 gallons of gas, and continued driving to his destination. When he arrived, his gas tank was half full. How many miles did Karl drive that day?
Karl 的汽车每开 35 英里就需要 1 加仑汽油，且当他的油缸加满时，可以装 14 加仑的汽油。 一天，Karl 开始他的行程前，把油缸加满了汽油，接着开了 350 英里，之后买了 8 加仑汽油，然后继续开到目的地。当他到达目的地时，他的油缸只剩下一半汽油。问 Karl 那天总共开了多少英里？

正确答案：A · 分值：1

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2016 AMC8 #16 · Algebra · ★★★
Annie and Bonnie are running laps around a 400 -meter oval track. They started together, but Annie has pulled ahead, because she runs 25% faster than Bonnie. How many laps will Annie have run when she first passes Bonnie?
Annie 和 Bonnie 绕着 400 米椭圆跑道跑步。他们同时起跑，但是因为 Annie 的速度比 Bonnie 快了 25％，所以她跑到了 Bonnie 的前面。当 Annie 第一次经过 Bonnie 时，Annie 已经跑了多少圈了？

正确答案：D · 分值：1

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2016 AMC8 #19 · Algebra · ★★★
The sum of 25 consecutive even integers is 10,000 . What is the largest of these 25 consecutive integers?
25 个连续的偶数之和是 10,000，问这 25 个连续的整数中，最大的数是多少？

正确答案：E · 分值：1

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2015 AMC8 #1 · Algebra · ★
Onkon wants to cover his room's floor with his favourite red carpet. How many square yards of red carpet are required to cover a rectangular floor that is 12 feet long and 9 feet wide? (There are 3 feet in a yard.)
要覆盖长 12 英尺，宽 9 英尺的长方形地板，需要多少平方码的地毯？（1 码等于 3 英尺）

正确答案：A · 分值：1

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2015 AMC8 #3 · Algebra · ★
Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 10 miles per hour. Jack walks to the pool at a constant speed of 4 miles per hour. How many minutes before Jack does Jill arrive?
Jack 和 Jill 要去距离他们家 1 英里的游泳池去游泳。他们同时从家出发。Jill 以 10 英里每小时的速度骑车去泳池，Jack 以 4 英里每小时的速度走过去。那么 Jill 比 Jack 早到多少分钟？

正确答案：D · 分值：1

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2015 AMC8 #9 · Algebra · ★★
On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 20 days?
Janabel 在她上班的第一天卖出了 1 个器具，第二天卖出了 3 个器具，第三天卖出了 5 个器具，且在往后的每一天，她都比前一天多卖出 2 个器具，那么当她工作了 20 天后，共卖出多少个器具？

正确答案：D · 分值：1

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2015 AMC8 #16 · Algebra · ★★★
In a middle-school mentoring program, a number of the sixth graders are paired with a ninth-grade student as a buddy. No ninth grader is assigned more than one sixth-grade buddy. If 13\displaystyle \frac{1}{3} of all the ninth graders are paired with 25\displaystyle \frac{2}{5} of all the sixth graders, what fraction of the total number of sixth and ninth graders have a buddy?
在一所中学的一项导师项目中，由六年级学生和九年级学生成对组队完成项目。每个九年级学生都不能和超过 1 个六年级学生组成队友。如果 的所有九年级学生和 的所有六年级成对，那么已经组成队友的学生占了六年级和九年级总人数的比例是多少？

正确答案：B · 分值：1

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2015 AMC8 #17 · Algebra · ★★★
Jeremy's father drives him to school in rush hour traffic in 20 minutes. One day there is no traffic, so his father can drive him 18 miles per hour faster and gets him to school in 12 minutes. How far in miles is it to school?
Jeremy 的爸爸在交通高峰期把他送到学校需要 20 分钟。这一天路上车不多，因此他爸爸开车的速度提高了 18 英里每小时，把他送到学校花了 12 分钟，那么从他家到学校的距离有多少英里？

正确答案：D · 分值：1

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2015 AMC8 #18 · Algebra · ★★★
An arithmetic sequence is a sequence in which each term after the first is obtained by adding a constant to the previous term. For example, 2,5,8,11,14 is an arithmetic sequence with five terms, in which the first term is 2 and the constant added is 3 . Each row and each column in this 5×55\times5 array is an arithmetic sequence with five terms. The square in the center is labelled X as shown. What is the value of X ?
一个等差数列是这样一种数列：第一项后面的每一项，都可以通过把前面一项加上一个常数得到。例如，2,5,8,11,14 是个 5 项的等差数列，其中第 1 项是 2，所加的常数是 3．下图所示的 5ｘ5 的方阵中，每一行每一列都是 5 项的等差数列。正方形中心的数字标记为 X，问 X 的值是多少？

正确答案：B · 分值：1

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2014 AMC8 #1 · Algebra · ★
Harry and Terry are each told to calculate 8-(2+5) . Harry gets the correct answer. Terry ignores the parentheses and calculates 8-2+5 . If Harry's answer is HH and Terry's answer is TT , what is H-T ?
Harry 和 Terry 都被要求计算 $8-(2+5)$。Harry 算对了，而 Terry 忽略了括号，计算的是 8-2+5。若 Harry 的答案是 HH，Terry 的答案是 TT，那么 H-T 是多少？

正确答案：A · 分值：1

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2014 AMC8 #2 · Algebra · ★
Paul owes Paula 35 cents and has a pocket full of 5-cent coins, 10-cent coins, and 25-cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her?
Paul 欠了 Paula 35 美分。Paula 目前口袋里有一堆 5 美分，10 美分和 25 美分的硬币可以用来还钱，他可用于还钱的最多硬币数目和最少硬币数目的差是多少？

正确答案：E · 分值：1

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2014 AMC8 #3 · Algebra · ★
Isabella had a week to read a book for a school assignment. She read an average of 36 pages per day for the first three days and an average of 44 pages per day for the next three days. She then finished the book by reading 10 pages on the last day. How many pages were in the book?
Isabella 的学校作业是花一周的时间读一本书。她前三天每天平均读 36 页，后三天平均每天读 44 页，之后在最后一天读了 10 页把整本书读完了。问这本书总共有多少页？

正确答案：B · 分值：1

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2014 AMC8 #5 · Algebra · ★
Margie's car can go 32 miles on a gallon of gas, and gas currently costs $4 per gallon. How many miles can Margie drive on $20 worth of gas?
Margie 的汽车 1 加仑的汽油可以开 32 英里，汽油的当前价格是每加仑 4 美元。那么 20 美元可以让 Margie 的汽车开多少英里？

正确答案：C · 分值：1

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2014 AMC8 #6 · Algebra · ★
Six rectangles each with a common base width of 2 have lengths of 1, 4, 9, 16, 25 , and 36 . What is the sum of the areas of the six rectangles?
6 个矩形共同的宽是 2，它们的长分别是 1,4,9,16,25 和 36．那么这 6 个矩形的面积之和是多少？

正确答案：D · 分值：1

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2014 AMC8 #7 · Algebra · ★★
There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?
Raub 女士的课上总共有 28 个学生，而女生比男生多 4 个。那么她班上女生和男生的个数之比是多少？

正确答案：B · 分值：1

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2014 AMC8 #10 · Algebra · ★★
The first AMC 8 was given in 1985 and it has been given annually since that time. Samantha turned 12 years old the year that she took the seventh AMC 8 . In what year was Samantha born?
第一次 AMC8 考试在 1985 年举行，那年之后的每一年都举办一次。Samantha 参加第 7 次 AMC8 考试的那一年，她 12 岁，那么 Samantha 是哪年出生的？

正确答案：A · 分值：1

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2014 AMC8 #17 · Algebra · ★★★
George walks 1 mile to school. He leaves home at the same time each day, walks at a steady speed of 3 miles per hour, and arrives just as school begins. Today he was distracted by the pleasant weather and walked the first 12\displaystyle \frac{1}{2} mile at a speed of only 2 miles per hour. At how many miles per hour must George run the last 12\displaystyle \frac{1}{2} mile in order to arrive just as school begins today?
George 每天同一时间以恒定的 3 英里每小时的速度从家步行 1 英里去学校，且恰好准时到校。今天他被好天气吸引，因此前 英里路程的速度仅为 2 英里每小时。那么后面 英里的路程他应该以多少英里每小时的速度奔跑才能准时到校？

正确答案：B · 分值：1

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2013 AMC8 #2 · Algebra · ★
A sign at the fish market says, "50 % off, today only: half-pound packages for just $3 per package." What is the regular price for a full pound of fish, in dollars?
鱼市上的一则标语写着：“降价 50％，仅限今天：半磅重的一包鱼仅需 3 美元。”那么一磅重的鱼原价是多少美元？

正确答案：D · 分值：1

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2013 AMC8 #3 · Algebra · ★★
What is the value of 4⋅(−1+2−3+4−5+6−7+⋯+1000)4 \cdot (-1+2-3+4-5+6-7+\cdots+1000) ?
4⋅(−1+2−3+4−5+6−7+⋯+1000)4 \cdot (-1+2-3+4-5+6-7+\cdots+1000) 的值是多少？

正确答案：E · 分值：1

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2013 AMC8 #4 · Algebra · ★★
Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill?
8 个朋友在餐馆吃饭，并且商定均摊费用。因为 Judi 忘记带钱了，她的其他 7 个朋友帮她垫付了费用，因此 7 个人每人额外多付了 2.5 美元。那么餐费总共是多少美元？

正确答案：C · 分值：1

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2013 AMC8 #6 · Algebra · ★★
The number in each box below is the product of the numbers in the two boxes that touch it in the row above. For example, 30=6×530 = 6\times5. What is the missing number in the top row?
下图中每个方格中的数字等于上一层和它相接触的两个方格内的数字之积。例如，30=6ｘ5. 那么在顶层的方格中，空白方格里的数字是多少？

正确答案：C · 分值：1

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2013 AMC8 #7 · Algebra · ★★
Trey and his mom stopped at a railroad crossing to let a train pass. As the train began to pass, Trey counted 6 cars in the first 10 seconds. It took the train 2 minutes and 45 seconds to clear the crossing at a constant speed. Which of the following was the most likely number of cars in the train?
Trey 和他妈妈为了让一辆火车通过，在铁路的交叉口停了下来。当火车开始通过时，在前 10 秒他们数到了 6 节车厢。火车以恒定的速度完全通过这个交叉口耗时 2 分钟 45 秒，那么这列火车最有可能有多少节车厢？

正确答案：C · 分值：1

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2013 AMC8 #9 · Algebra · ★★
The Incredible Hulk can double the distance he jumps with each succeeding jump. If his first jump is 1 meter, the second jump is 2 meters, the third jump is 4 meters, and so on, then on which jump will he first be able to jump more than 1 kilometer (1,000 meters)?
绿巨人浩克每次跳的长度都是前面一次的两倍。若它第一次跳了 1 米，第二次跳了 2 米，第三次跳了 4 米，以此类推，那么第几次跳的长度超过 1 公里？

正确答案：C · 分值：1

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2013 AMC8 #11 · Algebra · ★★★
Ted's grandfather used his treadmill on 3 days this week. He went 2 miles each day. On Monday he jogged at a speed of 5 miles per hour. He walked at the rate of 3 miles per hour on Wednesday and at 4 miles per hour on Friday. If Grandfather had always walked at 4 miles per hour, he would have spent less time on the treadmill. How many minutes less?
Ted 的爷爷这周有 3 天使用跑步机跑步。他每天跑 2 英里。周一他跑步的速度是 5 英里每小时，周三是 3 英里每小时，周五是 4 英里每小时。若他爷爷这 3 天跑步的速度都保持在 4 英里每小时的话，他在跑步机上花费的时间会更少一些，那么少多少分钟？

正确答案：D · 分值：1

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2013 AMC8 #12 · Algebra · ★★★
At the 2013 Winnebago County Fair a vendor is offering a "fair special" on sandals. If you buy one pair of sandals at the regular price of $50, you get a second pair at a 40% discount, and a third pair at half the regular price. Javier took advantage of the "fair special" to buy three pairs of sandals. What percentage of the $150 regular price did he save?
在 2013 年温尼贝戈县博览会上，一位供应商提供了一款凉鞋的“展会特价”。如果以原价 50 元购买一双凉鞋，那么第二双价格降低 40％，第三双半价。Javier 利用“展会特价”买了三双凉鞋。那么对比原价 150 美元，他节省了百分之多少？

正确答案：B · 分值：1

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2013 AMC8 #15 · Algebra · ★★★
If 3p+34=903^p + 3^4 = 90 , 2r+44=762^r + 44 = 76 , and 53+6s=14215^3 + 6^s = 1421 , what is the product of pp , rr , and ss ?
若 3p+34=903^p + 3^4 = 90，2r+44=762^r + 44 = 76，53+6s=14215^3 + 6^s = 1421，那么 pp、rr、ss 的乘积是多少？

正确答案：B · 分值：1

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2013 AMC8 #16 · Algebra · ★★★
A number of students from Fibonacci Middle School are taking part in a community service project. The ratio of 8th8^\text{th} -graders to 6th6^\text{th} -graders is 5:35:3 , and the the ratio of 8th8^\text{th} -graders to 7th7^\text{th} -graders is 8:58:5 . What is the smallest number of students that could be participating in the project?
Fibonacci 中学的一些学生正在参加一项社区服务项目。其中，八年级和六年级学生的个数之比为 5：3，八年级学生和七年级学生的个数之比是 8：5．那么参加这个项目的学生数最少是多少个？

正确答案：E · 分值：1

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2013 AMC8 #17 · Algebra · ★★★
The sum of six consecutive positive integers is 2013. What is the largest of these six integers?
六个连续正整数之和是 2013，那么这六个整数中最大的整数是多少？

正确答案：B · 分值：1

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2012 AMC8 #1 · Algebra · ★
Rachelle uses 3 pounds of meat to make 8 hamburgers for her family. How many pounds of meat does she need to make 24 hamburgers for a neighbourhood picnic?
Rachelle 用 3 磅肉为她的家人做了 8 个汉堡包。那么为邻里野餐做 24 个汉堡包需要多少磅肉？

正确答案：E · 分值：1

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2012 AMC8 #2 · Algebra · ★
In the country of East Westmore, statisticians estimate there is a baby born every 8 hours and a death every day. To the nearest hundred, how many people are added to the population of East Westmore each year?
在 East Westmore 这个国家，统计学家们估计，每 8 小时就会有 1 个婴儿出生，并且每天都会有一人去世。那么每年 East Westmore 国家的人口数会增加多少？结果精确到百位.

正确答案：B · 分值：1

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2012 AMC8 #3 · Algebra · ★
On February 13 The Oshkosh Northwester listed the length of daylight as 10 hours and 24 minutes, the sunrise was 6:57 AM , and the sunset as 8:15 PM . The length of daylight and sunrise were correct, but the sunset was wrong. When did the sun really set?
在 2 月 13 号这天，The Oshkosh Northwester 给出的白天时长是 10 小时 24 分钟，日出是早上 6：57，日落是晚上 8：15．白天时长和日出时间是对的，但日落时间不对。那么正确日落时间是多少？

正确答案：B · 分值：1

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2012 AMC8 #4 · Algebra · ★
Peter's family ordered a 12-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?
Peter 的家人晚餐订了一块 12 片的比萨。Peter 吃了一片，然后和他的弟弟 Paul 平分了另一片。那么 Peter 所吃的比萨饼占整块的比例是多少？

正确答案：C · 分值：1

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2012 AMC8 #7 · Algebra · ★★
Isabella must take four 100-point tests in her math class. Her goal is to achieve an average grade of 95 on the tests. Her first two test scores were 97 and 91. After seeing her score on the third test, she realized she can still reach her goal. What is the lowest possible score she could have made on the third test?
Isabella 必须参加 4 场满分都是 100 分的数学考试。她的目标是平均分达到 95 分。她的前 2 场考试的分数是 97 分和 91 分。当她看到第三场考试分数后，她意识到她还是可以达到她的目标的。那么第三场考试她可能考到的最低分数是多少？

正确答案：B · 分值：1

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2012 AMC8 #8 · Algebra · ★★
A shop advertises everything is "half price in today's sale." In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today represents what percentage off the original price?
一家商店做了如下广告：“今天所有商品半价。”另外，还有可以使价格降低 20％的一张优惠券可以使用。若使用优惠券，那么今天的商品价格相当于原价降低了百分之多少？

正确答案：D · 分值：1

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2012 AMC8 #9 · Algebra · ★★
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?
Fort Worth 动物园有一些两只腿的鸟，和一些 4 只腿的哺乳动物。一次 Margie 去动物园，数到了 200 个头，522 条腿。那么 Margie 数到的动物中，有多少是两只腿的鸟？

正确答案：C · 分值：1

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2012 AMC8 #19 · Algebra · ★★★
In a jar of red, green, and blue marbles, all but 6 are red marbles, all but 8 are green, and all but 4 are blue. How many marbles are in the jar?
一个罐子里装有红绿蓝三种颜色的玻璃球，除了 6 个之外的其他玻璃球都是红色的，除了 8 个之外的其他玻璃球都是绿色的，除了 4 个之外的其他玻璃球都是蓝色的。那么罐子里有多少个玻璃球？

正确答案：C · 分值：1

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2012 AMC8 #20 · Algebra · ★★★
What is the correct ordering of the three numbers 519,721\displaystyle \frac{5}{19} , \frac{7}{21}, and 923\displaystyle \frac{9}{23}, in increasing order?
把 519\displaystyle \frac{5}{19}、721\displaystyle \frac{7}{21}、923\displaystyle \frac{9}{23} 这三个数从小到大排列，正确的顺序是什么？

正确答案：B · 分值：1

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2011 AMC8 #1 · Algebra · ★
Margie bought 3 apples at a cost of 50 cents per apple. She paid with a 5-dollar bill. How much change did Margie receive?
Margie 买了 3 个苹果，每个 50 美分。她付了 5 美元，那么她应该找回多少零钱？

正确答案：E · 分值：1

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2011 AMC8 #5 · Algebra · ★★
What time was it 2011 minutes after midnight on January 1, 2011?
从 2011 年 1 月 1 日凌晨开始，经过 2011 分钟后是什么时间？ | 1 月 1 日下午 9:31 | 1 月 1 日下午 11:51 | 1 月 2 日上午 3:11 | 1 月 2 日上午 9:31 | 1 月 2 日下午 6:01

正确答案：D · 分值：1

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2011 AMC8 #9 · Algebra · ★★
Carmen takes a long bike ride on a hilly highway. The graph indicates the miles traveled during the time of her ride. What is Carmen's average speed for her entire ride in miles per hour?
卡门在一条丘陵公路上骑了很长时间的自行车。这张图表显示了她骑车时行驶的英里数。卡门整个旅程的平均速度是多少英里每小时？
Miles | 英里数
Hours | 小时数

正确答案：E · 分值：1

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2011 AMC8 #10 · Algebra · ★★
The taxi fare in Gotham City is $2.40 for the first 12\frac12 mile and additional mileage charged at the rate $0.20 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $10 ?
高谭市的出租车前 英里收费 2.40 美元，后面每增加 0.1 英里收费 0.20 美元。你还打算给司机 2 美元小费，那么 10 美元你能坐多少英里？

正确答案：C · 分值：1

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2011 AMC8 #14 · Algebra · ★★★
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:45 : 4 . There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:54 : 5 . The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
Colfax 中学有 270 个学生，男生和女生的比例是 5:4。Winthrop 中学有 180 个学生，男生和女生的比例是 4:5。这两个学校举行了一次舞会，并且两个学校的学生都参加了这次舞会。 那么舞会上女生所占总学生数的比例是多少？

正确答案：C · 分值：1

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2010 AMC8 #1 · Algebra · ★
At Euclid Middle School, the mathematics teachers are Miss Germain, Mr. Newton, and Mrs. Young. There are 11 students in Mrs. Germain's class, 8 students in Mr. Newton's class, and 9 students in Mrs. Young's class taking the AMC 8 this year. How many mathematics students at Euclid Middle School are taking the contest?
在欧几里得中学，数学老师是 Germain 小姐，Newton 先生和 Young 女士。Germain 小姐班上的 11 位学生，Newton 先生班上的 8 位学生和 Young 女士班上的 9 位学生今年参加 AMC8 竞赛。那么欧几里得中学今年有多少学数学的学生会参加这次竞赛？

正确答案：C · 分值：1

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2010 AMC8 #2 · Algebra · ★
If a @ b = a×ba+b\displaystyle \frac{a\times b}{a+b} for a,b positive integers, then what is 5 @ 10 ?
对于正整数 aa、bb，定义 a@b=a×ba+b\displaystyle a @ b = \frac{a\times b}{a+b}。那么 $5 @ 10$ 等于多少？

正确答案：D · 分值：1

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2010 AMC8 #3 · Algebra · ★★
The graph shows the price of five gallons of gasoline during the first ten months of the year. By what percent is the highest price more than the lowest price?
下图显示了前 10 个月 5 加仑汽油的价格。那么最高价比最低价多百分之几？

正确答案：C · 分值：1

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2010 AMC8 #5 · Algebra · ★★
Alice needs to replace a light bulb located 10 centimeters below the ceiling in her kitchen. The ceiling is 2.4 meters above the floor. Alice is 1.5 meters tall and can reach 46 centimeters above the top of her head. Standing on a stool, she can just reach the light bulb. What is the height of the stool, in centimeters?
Alice 需要换掉厨房的一个灯泡，灯泡位于天花板下面 10 厘米，天花板离地面 2.4 米。 Alice 有 1.5 米高，并且可以碰到离她头顶 46 厘米高的地方。当她站在凳子上，她恰好可以碰到灯泡。那么凳子的高度是多少厘米？

正确答案：B · 分值：1

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2010 AMC8 #8 · Algebra · ★★
As Emily is riding her bicycle on a long straight road, she spots Emerson skating in the same direction 1/2 mile in front of her. After she passes him, she can see him in her rear mirror until he is 1/2 mile behind her. Emily rides at a constant rate of 12 miles per hour, and Emerson skates at a constant rate of 8 miles per hour. For how many minutes can Emily see Emerson?
当 Emily 在一条长直公路上骑着她的自行车时，她发现前方 1/2 英里处 Emerson 正朝着同方向滑冰。当她经过他以后，她可以一直在后视镜里看到他，直到他在她后方 1/2 英里处。 Emily 骑车的速度是 12 英里每小时，而 Emerson 滑冰的速度是 8 英里每小时。那么 Emily 在多少分钟内可以一直看到 Emerson？

正确答案：D · 分值：1

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2010 AMC8 #9 · Algebra · ★★
Ryan got 80% of the problems correct on a 25 -problem test, 90% on a 40 -problem test, and 70% on a 10 -problem test. What percent of all the problems did Ryan answer correctly?
Ryan 在一次总共 25 题的考试里，做对 80％的题目，总共 40 题的考试里，做对 90％的题，在总共 10 题的考试里，做对 70％的题。那么总的来说，Ryan 所有的题的正确率是多少？

正确答案：D · 分值：1

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2010 AMC8 #11 · Algebra · ★★★
The top of one tree is 16 feet higher than the top of another tree. The heights of the two trees are in the ratio 3:43:4 . In feet, how tall is the taller tree?
一棵树的顶部比另一棵树的顶部高 16 英尺。这两棵树的高度之比是 3：4。那么较高的那棵树高多少英尺？

正确答案：B · 分值：1

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2010 AMC8 #12 · Algebra · ★★★
Of the 500 balls in a large bag, 80% are red and the rest are blue. How many of the red balls must be removed so that 75% of the remaining balls are red?
一个大包里的 500 个球中，有 80％是红球，其他是蓝球。需要从包中移走多少红球，使得包中剩下的球中，75％是红球？

正确答案：D · 分值：1

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2010 AMC8 #13 · Algebra · ★★★
The lengths of the sides of a triangle in inches are three consecutive integers. The length of the shortest side is 30% of the perimeter. What is the length of the longest side?
一个三角形的三条边长（单位：英寸）是 3 个连续的正整数。最短的边长是周长的 30％。那么最长的边长是多少？

正确答案：E · 分值：1

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2010 AMC8 #15 · Algebra · ★★★
A jar contains 5 different colors of gumdrops. 30% are blue, 20% are brown, 15% are red, 10% are yellow, and other 30 gumdrops are green. If half of the blue gumdrops are replaced with brown gumdrops, how many gumdrops will be brown?
一个罐子装有 5 种不同颜色的口香糖：30％是蓝色的，20％是棕色的，15％是红色的，10％ 是黄色的，且其他 30 个口香糖是绿色的。若蓝色口香糖的一半被棕色口香糖代替，那么有多少个口香糖将是棕色的？

正确答案：C · 分值：1

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2010 AMC8 #21 · Algebra · ★★★★
Hui is an avid reader. She bought a copy of the best seller Math is Beautiful. On the first day, Hui read 1/5 of the pages plus 12 more, and on the second day she read 1/4 of the remaining pages plus 15 pages. On the third day she read 1/3 of the remaining pages plus 18 pages. She then realized that there were only 62 pages left to read, which she read the next day. How many pages are in this book?
Hui 很爱读她买的一本名叫《数学是美丽的》的畅销书，第一天，Hui 读了书的 1/5 再加 12 页，第二天，她读了剩下的 1/4 再加 15 页。第三天，她读了剩余页数的 1/3 再加 18 页。然后她发现还剩 62 页未读，隔天就把这剩下的 62 页读完了。问这本书总共多少页？

正确答案：C · 分值：1

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2009 AMC8 #1 · Algebra · ★★
Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy?
Bridget 在水果店买了一包苹果。她把一半苹果给了 Ann，然后她把 3 个苹果了 Cassie，自己留了 4 个。那么 Bridget 总共买了多少个苹果？

正确答案：E · 分值：1

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2009 AMC8 #2 · Algebra · ★
On average, for every 4 sports cars sold at the local dealership, 7 sedans are sold. The dealership predicts that it will sell 28 sports cars next month. How many sedans does it expect to sell?
平均下来，当地经销商每售出 4 辆跑车，就售出 7 辆轿车。该经销商预计下个月将销售 28 辆跑车，那么预计销售多少辆轿车？

正确答案：D · 分值：1

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2009 AMC8 #3 · Algebra · ★
The graph shows the constant rate at which Suzanna rides her bike. If she rides a total of a half an hour at the same speed, how many miles would she have ridden?
下图显示了 Suzanna 以恒定的速度骑自行车。如果她以同样的速度骑了半个小时，她将骑多少英里？

正确答案：C · 分值：1

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2009 AMC8 #5 · Algebra · ★★
A sequence of numbers starts with 1 , 2 , and 3 . The fourth number of the sequence is the sum of the previous three numbers in the sequence: 1+2+3=6 . In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence?
一个数列以 1、2、3 开头。第四项是前三项之和：1+2+3=6。同样地，从第四项起每一项都是它前面三项之和。那么这个数列的第 8 项是多少？

正确答案：D · 分值：1

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2009 AMC8 #6 · Algebra · ★★
Steve's empty swimming pool will hold 24,000 gallons of water when full. It will be filled by 4 hoses, each of which supplies 2.5 gallons of water per minute. How many hours will it take to fill Steve's pool?
Steve 家的游泳池当装满水时，能装 24,000 加仑的水。现在将由 4 个水管同时灌水，每个水管每分钟灌水 2.5 加仑。那么将 Steve 家的泳池灌满水要多少小时？

正确答案：A · 分值：1

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2009 AMC8 #8 · Algebra · ★★
The length of a rectangle is increased by 10% percent and the width is decreased by 10% percent. What percent of the old area is the new area?
矩形的长增加了 10％，宽减小了 10％，那么新的矩形面积是原来的面积的百分之多少？

正确答案：B · 分值：1

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2009 AMC8 #14 · Algebra · ★★★
Austin and Temple are 50 miles apart along Interstate 35. Bonnie drove from Austin to her daughter's house in Temple, averaging 60 miles per hour. Leaving the car with her daughter, Bonnie rode a bus back to Austin along the same route and averaged 40 miles per hour on the return trip. What was the average speed for the round trip, in miles per hour?
奥斯汀和坦普尔沿 35 号州际公路相距 50 英里。Bonnic 从奥斯汀开车到她女儿位于坦普尔的家，平均时速为 60 英里。Bonnie 之后把车留给了女儿，接着沿着同一条路线乘公共汽车返回奥斯汀，回程平均速度为每小时 40 英里。那么她往返的平均速度是多少英里每小时？

正确答案：B · 分值：1

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2009 AMC8 #15 · Algebra · ★★★
A recipe that makes 5 servings of hot chocolate requires 2 squares of chocolate, 14\displaystyle \frac{1}{4} cup sugar, 1 cup water and 4 cups milk. Jordan has $5$ squares of chocolate, 2 cups of sugar, lots of water, and 7 cups of milk. If he maintains the same ratio of ingredients, what is the greatest number of servings of hot chocolate he can make?
一种制作 5 份热巧克力的配方需要 2 块巧克力、 杯糖、1 杯水和 4 杯牛奶。乔丹有 5 块巧克力，2 杯糖，大量的水和 7 杯牛奶。如果她保持相同的配料比例，那么她能做的热巧克力的最大份数是多少？

正确答案：D · 分值：1

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2009 AMC8 #18 · Algebra · ★★★
The diagram represents a 7-foot-by-7-foot floor that is tiled with 1-square-foot black tiles and white tiles. Notice that the corners have white tiles. If a 15-foot-by-15-foot floor is to be tiled in the same manner, how many white tiles will be needed?
该图表示一块 7 英尺乘 7 英尺的地板，该地板由 1 平方英尺的黑色瓷砖和白色瓷砖铺成。请注意，四个角都是白色瓷砖。如果某个 15 英尺乘 15 英尺的地板要以同样的方式铺成，需要多少块白色瓷砖？

正确答案：C · 分值：1

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2009 AMC8 #21 · Algebra · ★★★★
Andy and Bethany have a rectangular array of numbers greater than 0 with 40 rows and 75 columns. Andy adds the numbers in each row. The average of his 40 sums is A . Bethany adds the numbers in each column. The average of her 75 sums is B . What is the value of AB\displaystyle \frac{A}{B} ?
Andy 和 Bethany 有一张 40 行 75 列的矩形正数阵列，Andy 把每行的数字都相加，得到的 40 个和的平均值是 A。Bethany 把每列的数字都相加，所得的 75 个和的平均值是 B。那么多少？

正确答案：D · 分值：1

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2008 AMC8 #1 · Algebra · ★
Susan had 50 dollars to spend at the carnival. She spent 12 dollars on food and twice as much on rides. How many dollars did she have left to spend?
苏珊在嘉年华会上有 50 美元可以消费。她在食物上花了 12 美元，在乘车上花了两倍的钱。 她还剩多少美元可以花？

正确答案：B · 分值：1

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2008 AMC8 #5 · Algebra · ★★
Barney Schwinn notices that the odometer on his bicycle reads 1441 , a palindrome, because it reads the same forward and backward. After riding 4 more hours that day and 6 the next, he notices that the odometer shows another palindrome, 1661 . What was his average speed in miles per hour?
Barney Schwinn 注意到他自行车上的里程表读数为 1441，这是个回环数，因为它从前向后读和从后向前读读数都相同。那天又继续骑了 4 小时和第二天骑了 6 小时后，他注意到里程表显示了另一个回环数 1661。他的平均时速是多少英里每小时？

正确答案：E · 分值：1

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2008 AMC8 #7 · Algebra · ★
If 35=M45=60N\displaystyle \frac{3}{5}=\frac{M}{45}=\frac{60}{N} , what is M+N ?
如果
,

正确答案：E · 分值：1

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2008 AMC8 #9 · Algebra · ★★
In 2005 Tycoon Tammy invested 100 dollars for two years. During the first year her investment suffered a 15% loss, but during the second year the remaining investment showed a 20% gain. Over the two-year period, what was the change in Tammy's investment?
2005 年大亨塔米投资了 100 美元，投资时长为两年。在第一年，她的投资遭受了 15％的损失，但在第二年，剩余的投资获得了 20％的收益。则在这两年的时间里，塔米的投资发生了什么变化？

正确答案：D · 分值：1

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2008 AMC8 #12 · Algebra · ★★★
A ball is dropped from a height of 3 meters. On its first bounce it rises to a height of 2 meters. It keeps falling and bouncing to 23\displaystyle \frac{2}{3} of the height it reached in the previous bounce. On which bounce will it rise to a height less than 0.5 meters?
一个球从 3 米高处落下。它第一次弹起的高度是 2 米，之后不停地落下和弹起，弹起的高度都是前一次弹起高度的 。则第几次弹起的高度小于 0.5 米？

正确答案：C · 分值：1

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2008 AMC8 #13 · Algebra · ★★★
Mr. Harman needs to know the combined weight in pounds of three boxes he wants to mail. However, the only available scale is not accurate for weights less than 100 pounds or more than 150 pounds. So the boxes are weighed in pairs in every possible way. The results are 122 , 125 and 127 pounds. What is the combined weight in pounds of the three boxes?
哈曼太太需要知道他要邮寄的三个箱子的总重量是多少磅。然而，唯一可用的秤对于称量小于 100 磅或大于 150 磅的重物结果并不精确。因此，最后是以两两组合的方式同时称量 2 个箱子，结果是 122，125 和 127 磅。则这三个箱子的总重量是多少磅？

正确答案：C · 分值：1

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2008 AMC8 #20 · Algebra · ★★★
The students in Mr. Neatkin's class took a penmanship test. Two-thirds of the boys and 34\displaystyle \frac{3}{4} of the girls passed the test, and an equal number of boys and girls passed the test. What is the minimum possible number of students in the class?
Neatkin 先生班上的学生参加了某个笔试。三分之二的男孩和 的女孩通过了这个笔试，且通过这个笔试的男孩和女孩个数是一样的。则这个班最少可能是多少个学生？

正确答案：B · 分值：1

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2007 AMC8 #5 · Algebra · ★★
Chandler wants to buy a 500 dollar mountain bike. For his birthday, his grandparents send him 50 dollars, his aunt sends him 35 dollars and his cousin gives him 15 dollars. He earns $16$ dollars per week for his paper route. He will use all of his birthday money and all of the money he earns from his paper route. In how many weeks will he be able to buy the mountain bike?
Chandler 想买一辆 500 美元的山地车。在他生日的时候他爷爷奶奶给他 50 美元，阿姨给他 35 美元，表哥给他的 15 美元。另外，他送报每周能赚 16 美元。他将使用他生日收到的全部的钱和他送报赚来的钱来购买山地车，问几周后他能买到这辆山地车？

正确答案：B · 分值：1

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2007 AMC8 #6 · Algebra · ★★
The average cost of a long-distance call in the USA in 1985 was 41 cents per minute, and the average cost of a long-distance call in the USA in 2005 was 7 cents per minute. Find the approximate percent decrease in the cost per minute of a long- distance call.
1985 年在美国打长途电话的平均费用是每分钟 41 美分，2005 年在美国打长途电话的平均费用是每分钟 7 美分。求长途电话每分钟费用减少的大致百分比。

正确答案：E · 分值：1

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2007 AMC8 #15 · Algebra · ★★★
Let aa, bb and cc be numbers with 0 < a < b < c. Which of the following is impossible?
aa，bb，cc 是三个满足 0 < a < b < c 的实数。下面哪个选项不可能？

正确答案：A · 分值：1

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2007 AMC8 #16 · Algebra · ★★★
Amanda draws five circles with radii 1, 2, 3, 4 and 5. Then for each circle she plots the point (C,A), where C is its circumference and A is its area. Which of the following could be her graph?
Amanda 画了 5 个半径分别是 1，2，3，4 和 5 的圆。对于每个圆，她画了点（C，A），其中是这个园的周长，A 表示这个圆的面积。下面哪个可能是她画的图像？

正确答案：A · 分值：1

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2007 AMC8 #17 · Algebra · ★★★
A mixture of 30 liters of paint is 25% red tint, 30% yellow tint and 45% water. Five liters of yellow tint are added to the original mixture. What is the percent of yellow tint in the new mixture?
一种 30 升的油漆混合物是由 25％的红色颜料，30％的黄色颜料和 45％的水组成。向原来混合物中再加入 5 升黄色颜料，那么新的混合物中黄色颜科所占的百分比是多少？

正确答案：C · 分值：1

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2007 AMC8 #20 · Algebra · ★★★
Before the district play, the Unicorns had won 45% of their basketball games. During district play, they won six more games and lost two, to finish the season having won half their games. How many games did the Unicorns play in all?
在地区赛之前，独角兽队已经赢得了他们所打过的篮球比赛的 45％。在地区赛期间，他们又赢了六场比赛，输了两场，最终整个赛季赢得了一半的比赛。则独角兽队总共打了多少场比赛？

正确答案：A · 分值：1

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2006 AMC8 #1 · Algebra · ★
Mindy made three purchases for $1.98 dollars, $5.04 dollars, and $9.89 dollars. What was her total, to the nearest dollar?
Mindy 买的三样东西价格分别为＄1.98，＄5.04 和＄9.89。那么她所需要支付的总价最接近多少美元？

正确答案：D · 分值：1

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2006 AMC8 #2 · Algebra · ★
On the AMC 8 contest Billy answers 13 questions correctly, answers 7 questions incorrectly and doesn't answer the last 5. What is his score?
在 AMC8 竞赛中，Billy 答对了 13 题，答错了 7 题，最后 5 题未作答，那么他的分数是多少？

正确答案：C · 分值：1

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2006 AMC8 #3 · Algebra · ★★
Elisa swims laps in the pool. When she first started, she completed 10 laps in 25 minutes. Now she can finish 12 laps in 24 minutes. By how many minutes has she improved her lap time?
Elisa 在游泳池里游了几圈。当她第一次开始时，她在 25 分钟内完成了 10 圈。现在她可以在 24 分钟内游完 12 圈。那么她游一圈所花的时间减少了多少分钟？

正确答案：A · 分值：1

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2006 AMC8 #10 · Algebra · ★★
Jorge's teacher asks him to plot all the ordered pairs (w, l) of positive integers for which w is the width and l is the length of a rectangle with area 12. What should his graph look like?
Jorget 的老师要求他画出所有的（w，l）正整数对，其中 w 和 l 分别是一个面积为 12 的矩形的宽和长。则他画的图应该是下面哪个？

正确答案：A · 分值：1

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2006 AMC8 #12 · Algebra · ★★★
Antonette gets 70 % on a 10-problem test, 80 % on a 20-problem test and 90 % on a 30-problem test. If the three tests are combined into one 60-problem test, which percent is closest to her overall score?
Antonette 在一场 10 道题的考试中得分为 70％，在一场 20 道题的考试中得分为 80％，在一场 30 道题的考试中得分为 90％.若这三场考试题合并成一场 60 道题的考试，那么下面哪个百分数最接近他的总分？

正确答案：D · 分值：1

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2006 AMC8 #13 · Algebra · ★★★
Cassie leaves Escanaba at 8:30 AM heading for Marquette on her bike. She bikes at a uniform rate of 12 miles per hour. Brian leaves Marquette at 9:00 AM heading for Escanaba on his bike. He bikes at a uniform rate of 16 miles per hour. They both bike on the same 62-mile route between Escanaba and Marquette. At what time in the morning do they meet?
Cassie 早上 8：30 离开 Escanaba，骑自行车前往 Marquette.她以每小时 12 英里的均匀速度骑自行车。Brian 早上 9 点离开 Marquette，骑着自行车前往 Escanaba。他以每小时 16 英里的均匀速度骑自行车。他们俩骑自行车使用的都是在 Escanaba 和 Marquette 之间的同一条 62 英里长的路线。则他们早上什么时候相遇？

正确答案：D · 分值：1

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2006 AMC8 #14 · Algebra · ★★★
Problems 14, 15 and 16 involve Mrs. Reed's English assignment. A Novel Assignment The students in Mrs. Reed's English class are reading the same 760 -page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 20 seconds, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. If Bob and Chandra both read the whole book, Bob will spend how many more seconds reading than Chandra?
Reed 老师英语课上的学生都在读同一本 760 页的小说。班上的三位朋友 Alice、Bob 和 Chandra 读书速度不同：Alice 每页用 20 秒，Bob 每页用 45 秒，Chandra 每页用 30 秒。如果 Bob 和 Chandra 都读完整本书，Bob 比 Chandra 多用多少秒？

正确答案：B · 分值：1

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2006 AMC8 #15 · Algebra · ★★★
Problems 14, 15 and 16 involve Mrs. Reed's English assignment. A Novel Assignment The students in Mrs. Reed's English class are reading the same 760-page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 20 seconds, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. Chandra and Bob, who each have a copy of the book, decide that they can save time by "team reading" the novel. In this scheme, Chandra will read from page 1 to a certain page and Bob will read from the next page through page 760, finishing the book. When they are through they will tell each other about the part they read. What is the last page that Chandra should read so that she and Bob spend the same amount of time reading the novel?
Chandra 和 Bob 各自都有这本书，他们决定通过”团队阅读”这本小说来节省时间。在这种方案下，Chandra 会从第一页读到某一页，Bob 会从下一页一直读到第 760 页，把书读完。当他们都完成各自的任务，他们会告诉对方自己所读的内容。那么为了使得 Chandra 和 Bob 阅读的时间相同，Chandra 所读的最后一页是第几页？

正确答案：C · 分值：1

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2006 AMC8 #16 · Algebra · ★★★
Problems 14, 15 and 16 involve Mrs. Reed's English assignment. A Novel Assignment The students in Mrs. Reed's English class are reading the same 760-page novel. Three friends, Alice, Bob and Chandra, are in the class. Alice reads a page in 20 seconds, Bob reads a page in 45 seconds and Chandra reads a page in 30 seconds. Before Chandra and Bob start reading, Alice says she would like to team read with them. If they divide the book into three sections so that each reads for the same length of time, how many seconds will each have to read?
在 Chandra 和 Bob 开始阅读前，Alice 说她想加入和他俩一起团队阅读。若他们把书分成 3 部分，使得每人阅读时间都相同，那么每人阅读时间是多少秒？

正确答案：E · 分值：1

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2006 AMC8 #22 · Algebra · ★★★★
Three different one-digit positive integers are placed in the bottom row of cells. Numbers in adjacent cells are added and the sum is placed in the cell above them. In the second row, continue the same process to obtain a number in the top cell. What is the difference between the largest and smallest numbers possible in the top cell?
将 3 个不同的 1 位正整数放入最底层的三个方格中。然后将相邻方格里的数字相加，得到的和放入位于这两个方格之上的方格内。对于第二层，重复同样的步骤得到顶层方格内的数字。则顶层方格内的数字的最大可能值和最小可能值的差是多少？

正确答案：D · 分值：1

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2005 AMC8 #1 · Algebra · ★
Connie multiplies a number by 2 and gets 60 as her answer. However, she should have divided the number by 2 to get the correct answer. What is the correct answer?
Connie 把一个数字乘以 2，得到答案为 60。然而，她本应该把数字除以 2 才能得到正确的答案。那么正确答案是什么？

正确答案：B · 分值：1

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2005 AMC8 #2 · Algebra · ★
Karl bought five folders from Pay-A-Lot at a cost of $2.50 each. Pay-A-Lot had a 20%-off sale the following day. How much could Karl have saved on the purchase by waiting a day?
Karl 从 Pay-A-Lot 买了五个文件夹，每个价格为 2.5 美元。Pay-A-Lot 第二天降价 20％。那么 Karl 如果等一天他本可以省下多少钱？

正确答案：C · 分值：1

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2005 AMC8 #6 · Algebra · ★★
Suppose dd is a digit. For how many values of dd is 2.00d5 > 2.005 ?
假设 dd 是一个数字。使 2.00d5 > 2.005 成立的 dd 有多少个？

正确答案：C · 分值：1

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2005 AMC8 #10 · Algebra · ★★
Joe had walked half way from home to school when he realized he was late. He ran the rest of the way to school. He ran 3 times as fast as he walked. Joe took 6 minutes to walk half way to school. How many minutes did it take Joe to get from home to school?
Joe 从家步行去学校，当他意识到自己已经迟到时，已经走了总路程的一半，他跑完了剩下的路程，跑步的速度是步行速度的 3 倍。已知 Joe 步行的一半路程耗时 6 分钟，那么他从家到学校总共花了多少分钟？

正确答案：D · 分值：1

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2005 AMC8 #11 · Algebra · ★★★
The sales tax rate in Rubenenkoville is 6%. During a sale at the Bergville Coat Closet, the price of a coat is discounted 20% from its $90.00 price. Two clerks, Jack and Jill, calculate the bill independently. Jack rings up $90.00 and adds 6% sales tax, then subtracts 20% from this total. Jill rings up $90.00, subtracts 20% of the price, then adds 6% of the discounted price for sales tax. What is Jack's total minus Jill's total?
Bergville 地区的销售税税率为 6％。在 Bergville 大衣柜的一次销售中，一件大衣的价格从原价 90 美元起打了 20％的折扣。Jack 和 Jill 两名职员独立计算账单。Jack 先将 90 美元加上 6％的销售税，然后从总额中减去 20％。Jill 先将 90.00 美元减去 20％，然后再在折扣价格的基础上加上 6％的销售税。则 Jack 所得到的价格减去 Jill 所得到的价格的结果是多少？

正确答案：C · 分值：1

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2005 AMC8 #12 · Algebra · ★★★
Big Al, the ape, ate 100 bananas from May 1 through May 5. Each day he ate six more bananas than on the previous day. How many bananas did Big Al eat on May 5?
从 5 月 1 日到 5 月 5 日，Big AL 这只大猩猩共吃了 100 根美味的黄香蕉。他每天比前一天多吃六根香蕉。那么它在 5 月 5 日这天吃了多少根美味的香蕉？

正确答案：D · 分值：1

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2005 AMC8 #17 · Algebra · ★★★
The results of a cross-country team's training run are graphed below. Which student has the greatest average speed?
越野队的训练结果如下图所示。则哪个学生的平均速度最高？
Distance | 距离
Time | 时间

正确答案：E · 分值：1

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2005 AMC8 #22 · Algebra · ★★★★
A company sells detergent in three different sized boxes: small (S), medium (M) and large (L). The medium size costs 50% more than the small size and contains 20% less detergent than the large size. The large size contains twice as much detergent as the small size and costs 30% more than the medium size. Rank the three sizes from best to worst buy.
一家公司卖三种不同大小的盒子包装的洗涤剂：小盒子（S）、中盒子（M）和大盒子（L）。中号比小号贵 50％，且洗涤剂含量比大号少 20％．大号的洗涤剂含量是小号的两倍，价格比中号高 30％。请将这三种不同尺寸的洗涤剂按照性价比从高到低排列。

正确答案：E · 分值：1

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2004 AMC8 #1 · Algebra · ★
On a map, a 12 -centimeter length represents 72 kilometers. How many kilometers does a 17 -centimeter length represent?
在一张地图上，12 厘米长代表 72 公里。则 17 厘米长代表多少公里？

正确答案：B · 分值：1

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2004 AMC8 #3 · Algebra · ★★
Twelve friends met for dinner at Oscar's Overstuffed Oyster House, and each ordered one meal. The portions were so large, there was enough food for 18 people. If they shared, how many meals should they have ordered to have just enough food for the 12 of them?
12 位朋友在奥斯卡的“牡蛎屋”共进晚餐，每人点了 1 份晚餐。食物份量很大，足够 18 人吃。如果他们一起分享晚餐，他们本应该只需点多少份就恰好够 12 人吃？

正确答案：A · 分值：1

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2004 AMC8 #6 · Algebra · ★★
After Sally takes 20 shots, she has made 55% of her shots. After she takes 5 more shots, she raises her percentage to 56% . How many of the last 5 shots did she make?
在 Sally 射击的 20 次中，有 55％的命中率。当她再多射击 5 次，则命中率提高到了 56％．那么最后射击的 5 次中，有几次命中？

正确答案：C · 分值：1

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2004 AMC8 #7 · Algebra · ★
An athlete's target heart rate, in beats per minute, is 80% of the theoretical maximum heart rate. The maximum heart rate is found by subtracting the athlete's age, in years, from 220 . To the nearest whole number, what is the target heart rate of an athlete who is 26 years old?
运动员的目标心率（以每分钟心跳数为单位）是理论最大心率的 80％．将 220 减去运动员的年龄（以年为单位），即可得到理论最大心率。则一名 26 岁的运动员的目标心率是多少（精确到整数）？

正确答案：B · 分值：1

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2004 AMC8 #10 · Algebra · ★★
Handy Aaron helped a neighbor 1141 \frac14 hours on Monday, 50 minutes on Tuesday, from 8:20 to 10:45 on Wednesday morning, and a half-hour on Friday. He is paid $3 per hour. How much did he earn for the week?
Handy Aaron 帮邻居干活：周一花了 114\displaystyle 1\frac{1}{4} 小时，周二花了 50 分钟，周三早上从 8:20 干到 10:45，周五花了半小时。已知他每小时工资是 3 美元，那么他这一周赚了多少钱？

正确答案：E · 分值：1

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2004 AMC8 #12 · Algebra · ★★★
Niki usually leaves her cell phone on. If her cell phone is on but she is not actually using it, the battery will last for 24 hours. If she is using it constantly, the battery will last for only 3 hours. Since the last recharge, her phone has been on 9 hours, and during that time she has used it for 60 minutes. If she doesn’t use it any more but leaves the phone on, how many more hours will the battery last?
Niki 的手机通常不关机。如果她的手机是开着的，但她实际上没有使用，那么电池将持续 24 小时。如果她一直使用手机，电池只能使用 3 个小时。自从最近一次充电以来，她的手机已经开机 9 小时，在这段时间里，她使用手机的时间是 60 分钟。如果她不再使用手机进行通话，而是让手机待机，那么电池还能用多少小时？

正确答案：B · 分值：1

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2004 AMC8 #16 · Algebra · ★★★
Two 600 mL pitchers contain orange juice. One pitcher is 1/3 full and the other pitcher is 2/5 full. Water is added to fill each pitcher completely, then both pitchers are poured into one large container. What fraction of the mixture in the large container is orange juice?
两个容量为 600 mL 的罐子里装有橙汁。一个罐子装了 13\displaystyle \frac{1}{3}，另一个装了 25\displaystyle \frac{2}{5}。向每个罐子加水使其装满，然后把两个罐子的液体都倒入一个大容器中。那么大容器里的混合液中橙汁占的比例是多少？

正确答案：C · 分值：1

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2004 AMC8 #20 · Algebra · ★★★
Two-thirds of the people in a room are seated in three-fourths of the chairs. The rest of the people are standing. If there are 6 empty chairs, how many people are in the room?
房间里的人坐在的椅子上。其余的人都站着。如果有 6 张空椅子，则房间里有多少人？

正确答案：D · 分值：1

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2004 AMC8 #22 · Algebra · ★★★★
At a party there are only single women and married men with their wives. The probability that a randomly selected woman is single is 25\frac25 . What fraction of the people in the room are married men?
在某个聚会上，只有单身女性，以及已婚男性和他们的妻子。若随机选择一个女性，则她是单身的概率为 。那么这个房间的所有人中，已婚男性占了多少比例？

正确答案：B · 分值：1

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2004 AMC8 #23 · Algebra · ★★★
Tess runs counterclockwise around rectangular block JKLMJKLM . She lives at corner JJ . Which graph could represent her straight-line distance from home?
Tess 沿着长方形方块 JKLM 的边逆时针跑步。她住在角落 J，那么下面哪张图可以表示她距离家的直线距离？

正确答案：D · 分值：1

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2003 AMC8 #3 · Algebra · ★
A burger at Ricky C's weighs 120 grams, of which 30 grams are filler. What percent of the burger is not filler?
Ricky C's 的汉堡重 120 克，其中 30 克是填料。汉堡的百分之多少不是填料？

正确答案：D · 分值：1

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2003 AMC8 #4 · Algebra · ★★
A group of children riding on bicycles and tricycles rode past Billy Bob's house. Billy Bob counted 7 children and 19 wheels. How many tricycles were there?
一群骑自行车和三轮车的孩子经过 Billy Bob 的家。Billy Bob 数了数，一共数到了 7 个孩子和 19 个轮子，那么有多少辆三轮车？

正确答案：C · 分值：1

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2003 AMC8 #5 · Algebra · ★
If 20% of a number is 12 , what is 30% of the same number?
如果一个数的 20％是 12，那么这个数的 30％是多少？

正确答案：B · 分值：1

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2003 AMC8 #7 · Algebra · ★★
Blake and Jenny each took four 100 -point tests. Blake averaged 78 on the four tests. Jenny scored 10 points higher than Blake on the first test, 10 points lower than him on the second test, and 20 points higher on both the third and fourth tests. What is the difference between Jenny's average and Blake's average on these four tests?
Blake 和 Jenny 每人参加了四次满分为 100 分的测验。Blake 在四次测试中平均得分为 78 分。 Jenny 在第一次测试中比 Blake 高 10 分，在第二次测试中比他低 10 分，在第三次和第四次测试中都比他高 20 分。那么 Jenny 和 Blake 在这四项测试中的平均分的差是多少？

正确答案：A · 分值：1

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2003 AMC8 #8 · Algebra · ★★
Problems 8, 9 and 10 use the data found in the accompanying paragraph and figures
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
∘\circ Art's cookies are trapezoids.
∘\circ Roger's cookies are rectangles.
∘\circ Paul's cookies are parallelograms.
∘\circ Trisha's cookies are triangles.
Each friend uses the same amount of dough, and Art makes exactly 12 cookies. Who gets the fewest cookies from one batch of cookie dough?
每位朋友用的面团一样多，且 Art 恰好做了 12 块饼干。用一批面团，谁做出的饼干最少？

正确答案：A · 分值：1

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2003 AMC8 #9 · Algebra · ★★
Problems 8, 9 and 10 use the data found in the accompanying paragraph and figures
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
∘\circ Art's cookies are trapezoids:
∘\circ Roger's cookies are rectangles:
∘\circ Paul's cookies are parallelograms:
∘\circ Trisha's cookies are triangles:
Each friend uses the same amount of dough, and Art makes exactly 12 cookies. Art's cookies sell for 60 cents each. To earn the same amount from a single batch, how much should one of Roger's cookies cost in cents?
每个朋友都用了等量的面团，Art 正好做了 12 块饼干。Art 的饼干每个卖 60 美分。为了从这批面团赚得同样的钱，那么 Roger 的饼干应该每个卖多少美分？

正确答案：C · 分值：1

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2003 AMC8 #10 · Algebra · ★★
Problems 8, 9 and 10 use the data found in the accompanying paragraph and figures
Four friends, Art, Roger, Paul and Trisha, bake cookies, and all cookies have the same thickness. The shapes of the cookies differ, as shown.
∘\circ Art's cookies are trapezoids:
∘\circ Roger's cookies are rectangles:
∘\circ Paul's cookies are parallelograms:
∘\circ Trisha's cookies are triangles:
How many cookies will be in one batch of Trisha's cookies?
Trisha 能用这批面团做多少个饼干?

正确答案：E · 分值：1

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2003 AMC8 #11 · Algebra · ★★★
Business is a little slow at Lou's Fine Shoes, so Lou decides to have a sale. On Friday, Lou increases all of Thursday's prices by 10 percent. Over the weekend, Lou advertises the sale: "Ten percent off the listed price. Sale starts Monday." How much does a pair of shoes cost on Monday that cost 40 dollars on Thursday?
Lou 的精品鞋生意有点不景气，所以 Lou 决定降价促销。周五的时候，Lou 将周四的所有价格上调 10％。周末的时候，Lou 在广告中说： “降价百分之十。降价从周一开始。”一双周四时价格为 40 美元的鞋，在周一时价格是多少？

正确答案：B · 分值：1

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2003 AMC8 #24 · Algebra · ★★★
A ship travels from point AA to point BB along a semicircular path, centered at Island XX . Then it travels along a straight path from BB to CC . Which of these graphs best shows the ship's distance from Island XX as it moves along its course?
一艘船沿着以岛 X 为圆心的半圆形路径从点 A 航行到点 B。然后它沿着直线路径从 B 到 C。下面这些图表中哪一个最能显示当船沿航线行驶时，船与岛 X 的距离变化？

正确答案：B · 分值：1

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2002 AMC8 #3 · Algebra · ★
What is the smallest possible average of four distinct positive even integers?
4 个不同的正偶数的平均值最小可能是多少？

正确答案：C · 分值：1

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2002 AMC8 #6 · Algebra · ★★
A birdbath is designed to overflow so that it will be self-cleaning. Water flows in at the rate of 20 milliliters per minute and drains at the rate of 18 milliliters per minute. Which one of these graphs shows the volume of water in the birdbath during the filling time and continuing into the overflow time?
一种水盆设计为溢流式，以便能够自动清洗。水以每分钟 20 毫升的速度流入，以每分钟 18 毫升的速度排出。其中某一张图显示了从灌水开始，一直持续到不断溢出这段时间内，水盆中的水量。这张图是下面哪一个?

正确答案：A · 分值：1

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2002 AMC8 #11 · Algebra · ★★★
A sequence of squares is made of identical square tiles. The edge of each square is one tile length longer than the edge of the previous square. The first three squares are shown. How many more tiles does the seventh square require than the sixth?
下面一系列正方形都是由若干相同的方形瓷砖组成的。每个正方形的边长比前一个正方形的边长多一个瓷砖长度。下图显示了前三个正方形。则第七个正方形比第六个正方形多需要多少块瓷砖？

正确答案：C · 分值：1

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2002 AMC8 #14 · Algebra · ★★★
A merchant offers a large group of items at 30% off. Later, the merchant takes 20% off these sale prices. The total discount is
一位商人以 30％的折扣提供大量商品。后来，商家又在此折扣价的基础上降低 20％，并声称这些商品的最终价格比原价低 50％。则商品的总折扣是

正确答案：B · 分值：1

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2002 AMC8 #17 · Algebra · ★★★
In a mathematics contest with ten problems, a student gains 5 points for a correct answer and loses 2 points for an incorrect answer. If Olivia answered every problem and her score was 29, how many correct answers did she have?
在一个有十道题的数学竞赛中，一个学生答对一题得 5 分，答错一题扣 2 分。如果 Olivia 回答了所有问题，她的分数是 29 分，那么她答对多少题？

正确答案：C · 分值：1

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2002 AMC8 #18 · Algebra · ★★★
Gage skated 1 hr 15 min each day for 5 days and 1 hr 30 min each day for 3 days. How long would he have to skate the ninth day in order to average 85 minutes of skating each day for the entire time?
Gage 连续 5 天每天滑冰 1 小时 15 分钟，连续 3 天每天滑冰 1 小时 30 分钟。那么第九天他需要滑多长时间才能使得在全部时间内每天平均滑 85 分钟？

正确答案：E · 分值：1

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2002 AMC8 #24 · Algebra · ★★★★
Miki has a dozen oranges of the same size and a dozen pears of the same size. Miki uses her juicer to extract 8 ounces of pear juice from 3 pears and 8 ounces of orange juice from 2 oranges. She makes a pear-orange juice blend from an equal number of pears and oranges. What percent of the blend is pear juice?
Miki 有一打同样大小的桔子和一打同样大小的梨。Miki 用榨汁机能从 3 个梨中榨取 8 盎司梨汁，并且从 2 个橙子中能榨取 8 盎司橙汁。她用同样数量的梨和橙子做成了梨橙混合汁。那么这个混合汁里有百分之多少是梨汁？

正确答案：B · 分值：1

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2002 AMC8 #25 · Algebra · ★★★★
Loki, Moe, Nick and Ott are good friends. Ott had no money, but the others did. Moe gave Ott one-fifth of his money, Loki gave Ott one-fourth of his money and Nick gave Ott one-third of his money. Each gave Ott the same amount of money. What fractional part of the group's money does Ott now have?
Loki，Moe，Nick 和 Ott 是好朋友。Ott 没有钱，但其他人有。Moe 给了 Ott 五分之一的钱， Loki 给了 Ott 四分之一的钱，Nick 给了 Ott 三分之一的钱。每个人都给了 Ott 同样的钱。那么现在 Ott 有的钱占了四个人全部的钱的几分之几？

正确答案：B · 分值：1

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2001 AMC8 #1 · Algebra · ★
Casey's shop class is making a golf trophy. He has to paint 300 dimples on a golf ball. If it takes him 2 seconds to paint one dimple, how many minutes will he need to do his job?
Casey 的职业技能实践课是制作一个高尔夫奖杯。他必须在一个高尔夫球上画 300 个凹坑。如果他需要 2 秒钟才能画出一个凹坑，他需要多少分钟才能完成他的工作？

正确答案：D · 分值：1

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2001 AMC8 #2 · Algebra · ★
I'm thinking of two whole numbers. Their product is 24 and their sum is 11. What is the larger number?
我在想两个整数。他们的积是 24，和是 11。较大的那个数是多少？

正确答案：D · 分值：1

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2001 AMC8 #3 · Algebra · ★★
Granny Smith has $63. Elberta has $2 more than Anjou and Anjou has one-third as much as Granny Smith. How many dollars does Elberta have?
Smith 奶奶有 63 美元。Elberta 比 Anjou 多 2 美元，Anjou 的钱是 Smith 奶奶的三分之一。那么 Elberta 有多少美元？

正确答案：E · 分值：1

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2001 AMC8 #5 · Algebra · ★★
On a dark and stormy night Snoopy suddenly saw a flash of lightning. Ten seconds later he heard the sound of thunder. The speed of sound is 1088 feet per second and one mile is 5280 feet. Estimate, to the nearest half-mile, how far Snoopy was from the flash of lightning.
在一个漆黑的暴风雨之夜，Snoopy 突然看到一道闪电。十秒钟后，他听到了雷声。音速是 1088 英尺每秒（一英里等于 5280 英尺）。请估算 Snoopy 离闪电有多少英里（结果精确到 0.5 英里）？

正确答案：C · 分值：1

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2001 AMC8 #6 · Algebra · ★★
Six trees are equally spaced along one side of a straight road. The distance from the first tree to the fourth is 60 feet. What is the distance in feet between the first and last trees?
六棵树在一条笔直公路的一侧等距分布。第一棵树和第四棵树相距 60 英尺。则第一棵树和最后一棵树之间的距离是多少英尺？

正确答案：B · 分值：1

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2001 AMC8 #10 · Algebra · ★★
A collector offers to buy state quarters for 2000% of their face value. At that rate how much will Bryden get for his four state quarters?
一位收藏家提出以面值的 2000％购买州政府发行的 25 美分硬币。按这个价格，Bryden 的 4 枚这样的 25 美分硬币能卖到多少钱？

正确答案：A · 分值：1

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2001 AMC8 #12 · Algebra · ★★★
If a⊗b=a+ba−ba\otimes b = \dfrac{a + b}{a - b} , then (6⊗4)⊗3=(6\otimes 4)\otimes 3 =
若 a⊗b=a+ba−ba\otimes b = \dfrac{a + b}{a - b}，则 (6⊗4)⊗3=(6\otimes 4)\otimes 3 =

正确答案：A · 分值：1

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2001 AMC8 #15 · Algebra · ★★★
Homer began peeling a pile of 44 potatoes at the rate of 3 potatoes per minute. Four minutes later Christen joined him and peeled at the rate of 5 potatoes per minute. When they finished, how many potatoes had Christen peeled?
Homer 开始以每分钟 3 个土豆的速度开始剥一堆土豆，这堆土豆总共有 44 个。四分钟后， Christen 加入他的行列，以每分钟 5 个土豆的速度剥皮。当他们完成时，Christen 剥了多少土豆？

正确答案：A · 分值：1

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2001 AMC8 #17 · Algebra · ★★★
For the game show Who Wants To Be A Millionaire?, the dollar values of each question are shown in the table below (where K = 1000). Between which two questions is the percent increase of the value the smallest?
对于游戏节目《谁想成为百万富翁？》，每个问题的价值（单位：美元）如下表所示（其中 K＝ 1000）。在哪两个问题之间，哪两个价值增加的百分比最小？

正确答案：B · 分值：1

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2001 AMC8 #19 · Algebra · ★★★
Car M traveled at a constant speed for a given time. This is shown by the dashed line. Car N traveled at twice the speed for the same distance. If Car M and Car N's speed and time are shown as solid line, which graph illustrates this?
汽车 M 在给定的时间内以恒定的速度行驶，其速度和时间曲线用虚线所示。汽车 N 以两倍的速度行驶了相同的距离。如果 N 车的速度和时间曲线用实线表示，则下面哪张图表说明了这一点？

正确答案：D · 分值：1

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2000 AMC8 #1 · Algebra · ★
Aunt Anna is 42 years old. Caitlin is 5 years younger than Brianna, and Brianna is half as old as Aunt Anna. How old is Caitlin?
Anna 阿姨现在 42 岁，Caitlin 比 Brianna 小 5 岁，Brianna 的年龄是 Anna 阿姨的一半。问 Caitlin 多大？

正确答案：B · 分值：1

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2000 AMC8 #2 · Algebra · ★★
Which of these numbers is less than its reciprocal?
下面哪个数比它的倒数小?

正确答案：A · 分值：1

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2000 AMC8 #3 · Algebra · ★
How many whole numbers lie in the interval between 53\displaystyle \frac{5}{3} and 2π2\pi?
在53\displaystyle \frac{5}{3}到2π2\pi之间有多少个整数？

正确答案：D · 分值：1

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2000 AMC8 #7 · Algebra · ★★
What is the minimum possible product of three different numbers of the set {−8,−6,−4,0,3,5,7}\{-8,-6,-4,0,3,5,7\} ?
集合｛-8，-6，-4，0，3，5，7｝中的三个不同的元素的乘积的最小可能值是多少？

正确答案：B · 分值：1

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2000 AMC8 #10 · Algebra · ★★
Ara and Shea were once the same height. Since then Shea has grown 20% while Ara has grown half as many inches as Shea. Shea is now 60 inches tall. How tall, in inches, is Ara now?
Ara 和 Shea 以前身高一样。自那以后，Shea 身高增高了 20％，而 Ara 增长的高度是 Shea 增长高度的一半。Shea 现在身高 60 英寸，那么 Ara 现在身高是多少英寸？

正确答案：E · 分值：1

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2000 AMC8 #17 · Algebra · ★★★
The operation ⊗\otimes is defined for all nonzero numbers by a⊗b=a2b\displaystyle a\otimes b =\frac{a^{2}}{b} . Determine [(1⊗2)⊗3]−[1⊗(2⊗3)][(1\otimes 2)\otimes 3]-[1\otimes (2\otimes 3)] .
运算 ⊗\otimes 对所有非零数定义为 a⊗b=a2b\displaystyle a\otimes b = \frac{a^{2}}{b}。求 [(1⊗2)⊗3]−[1⊗(2⊗3)][(1\otimes 2)\otimes 3]-[1\otimes (2\otimes 3)] 的值。

正确答案：A · 分值：1

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2000 AMC8 #23 · Algebra · ★★★★
There is a list of seven numbers. The average of the first four numbers is 5 , and the average of the last four numbers is 8 . If the average of all seven numbers is 647\displaystyle 6\frac{4}{7} , then the number common to both sets of four numbers is
有一组 7 个数。前 4 个数的平均值是 5，后 4 个数的平均值是 8。若这 7 个数的平均值是 647\displaystyle 6\frac{4}{7}，那么同时属于前 4 个数和后 4 个数的那个数是多少？

正确答案：B · 分值：1

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1999 AMC8 #1 · Algebra · ★
(6?3) + 4 - (2 - 1) = 5. To make this statement true, the question mark between the 6 and the 3 should be replaced by
要使等式 (6?3) + 4 - (2 - 1) = 5 成立，6 和 3 之间的问号应替换为

正确答案：A · 分值：1

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1999 AMC8 #3 · Algebra · ★
Which triplet of numbers has a sum NOT equal to 1?
下列哪组数字的和不等于 1？

正确答案：D · 分值：1

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1999 AMC8 #4 · Algebra · ★
The diagram shows the miles traveled by bikers Alberto and Bjorn. After four hours, about how many more miles has Alberto biked than Bjorn?
图中显示了骑行者 Alberto 和 Bjorn 行驶的英里数。四小时后，Alberto 比 Bjorn 大约多骑了多少英里？

正确答案：A · 分值：1

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1999 AMC8 #7 · Algebra · ★★
The third exit on a highway is located at milepost 40 and the tenth exit is at milepost 160. There is a service center on the highway located three-fourths of the way from the third exit to the tenth exit. At what milepost would you expect to find this service center?
某高速公路的第三个出口位于 40 英里处，第十个出口位于 160 英里处。该高速公路上有一个服务区，位于第三个出口到第十个出口之间四分之三的位置。该服务区大约在哪个英里标处？

正确答案：E · 分值：1

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1999 AMC8 #12 · Algebra · ★★★
The ratio of the number of games won to the number of games lost (no ties) by the Middle School Middies is 11/4 . To the nearest whole percent, what percent of its games did the team lose?
中学 Middies 队赢的场数比输的场数（无平局）的比是 11/4。取最近的整数百分比，该队输掉的比赛占百分之多少？

正确答案：B · 分值：1

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1999 AMC8 #16 · Algebra · ★★★
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more problems would she have needed to answer correctly to earn a 60% passing grade?
Tori 的数学考试有 75 道题：10 道算术，30 道代数，35 道几何。虽然她做对了 70% 的算术题、40% 的代数题和 60% 的几何题，但她没有通过考试，因为她做对的题目不到 60%。她还需要多做对多少道题才能达到 60% 的及格成绩？

正确答案：B · 分值：1

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1999 AMC8 #17 · Algebra · ★★★
At Central Middle School the 108 students who take the AMC 8 meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of 15 cookies, lists this items: 112\displaystyle 1\frac{1}{2} cups of flour, 2 eggs, 3 tablespoons butter, 34\displaystyle \frac{3}{4} cups sugar, and 1 package of chocolate drops. They will make only full recipes, not partial recipes. Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cookies? (Some eggs and some cookies may be left over.)
中央中学 108 名参加 AMC 8 的学生晚上聚会讨论题目，平均每人吃两块曲奇。Walter 和 Gretel 今年正在烤 Bonnie's Best Bar Cookies。他们的配方可以做一盘 15 块曲奇，配料表如下：112\displaystyle 1\frac{1}{2} 杯面粉、2 个鸡蛋、3 汤匙黄油、34\displaystyle \frac{3}{4} 杯糖、1 包巧克力豆。他们只做完整的配方，不做部分配方。
Walter 可以按半打买鸡蛋。他应该买多少个半打鸡蛋才能做足够的曲奇？（可能会剩下一些鸡蛋和一些曲奇。）

正确答案：C · 分值：1

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1999 AMC8 #18 · Algebra · ★★★
At Central Middle School the 108 students who take the AMC8 meet in the evening to talk about problems and eat an average of two cookies apiece. Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of 15 cookies, lists this items: 112\displaystyle 1\frac{1}{2} cups flour, 2 eggs, 3 tablespoons butter, 34\displaystyle \frac{3}{4} cups sugar, and 1 package of chocolate drops. They will make only full recipes, not partial recipes. They learn that a big concert is scheduled for the same night and attendance will be down 25% . How many recipes of cookies should they make for their smaller party?
中央中学 108 名参加 AMC8 的学生晚上聚会讨论题目，平均每人吃两块曲奇。Walter 和 Gretel 今年正在烤 Bonnie's Best Bar Cookies。他们的配方可以做一盘 15 块曲奇，配料表如下：112\displaystyle 1\frac{1}{2} 杯面粉、2 个鸡蛋、3 汤匙黄油、34\displaystyle \frac{3}{4} 杯糖、1 包巧克力豆。他们只做完整的配方，不做部分配方。
他们得知当晚有一场大型音乐会，参加人数将减少 25%。他们应该为缩小后的聚会做多少份配方？

正确答案：E · 分值：1

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1999 AMC8 #19 · Algebra · ★★★
At Central Middle School, the 108 students who take the AMC 8 meet in the evening to talk about problems and eat an average of two cookies apiece. Hansel and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe, which makes a pan of 15 cookies, lists these items: 112\displaystyle 1\frac{1}{2} cups flour, 2 eggs, 3 tablespoons butter, 34\displaystyle \frac{3}{4} cups sugar, and 1 package of chocolate drops. They will make full recipes, not partial recipes. Hansel and Gretel must make enough pans of cookies to supply 216 cookies. There are 8 tablespoons in a stick of butter. How many sticks of butter will be needed? (Some butter may be leftover, of course.)
中央中学 108 名参加 AMC 8 的学生晚上聚会讨论题目，平均每人吃两块曲奇。Hansel 和 Gretel 今年正在烤 Bonnie's Best Bar Cookies。他们的配方可以做一盘 15 块曲奇，配料表如下：112\displaystyle 1\frac{1}{2} 杯面粉、2 个鸡蛋、3 汤匙黄油、34\displaystyle \frac{3}{4} 杯糖、1 包巧克力豆。他们只做完整的配方，不做部分配方。
Hansel 和 Gretel 必须做足够的曲奇来供应 216 块。一条黄油有 8 汤匙。需要多少条黄油？（当然可能会剩下一些黄油。）

正确答案：B · 分值：1

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1999 AMC8 #22 · Algebra · ★★★
In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is one fish worth?
在某个遥远的地方，三条鱼可以换两条面包，一条面包可以换四袋米。一条鱼值多少袋米？

正确答案：D · 分值：1

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1998 AMC8 #2 · Algebra · ★
If (abcd)=ad−bc\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc, then (2113)+(3214)=\begin{pmatrix} 2 & 1 \\ 1 & 3 \end{pmatrix} + \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix} =
若 (abcd)=ad−bc\begin{pmatrix} a & b \\ c & d \end{pmatrix} = ad - bc，则 (2113)+(3214)=\begin{pmatrix} 2 & 1 \\ 1 & 3 \end{pmatrix} + \begin{pmatrix} 3 & 2 \\ 1 & 4 \end{pmatrix} =

正确答案：E · 分值：1

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1998 AMC8 #8 · Algebra · ★
A child's wading pool contains 200 gallons of water. If water evaporates at the rate of 0.5 gallons per day and no other water is added or removed, how many gallons of water will be in the pool after 30 days?
一个儿童戏水池装有 200 加仑水。如果水以每天 0.5 加仑的速度蒸发，且没有其他水的添加或移除，30 天后池中还有多少加仑水？

正确答案：C · 分值：1

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1998 AMC8 #9 · Algebra · ★★
For a sale, a store owner reduces the price of a $10 scarf by 20% . Later the price is lowered again, this time by one-half the reduced price. The price is now
为了促销，一家商店的老板将一条 $10 的围巾降价 20%。之后价格再次下调，这次是下调后价格的一半。现在的价格是

正确答案：C · 分值：1

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1998 AMC8 #14 · Algebra · ★★★
An Annville Junior High School, 30% of the students in the Math Club are in the Science Club, and 80% of the students in the Science Club are in the Math Club. There are 15 students in the Science Club. How many students are in the Math Club?
在 Annville 初中，数学俱乐部中 30% 的学生也在科学俱乐部，科学俱乐部中 80% 的学生也在数学俱乐部。科学俱乐部有 15 名学生。数学俱乐部有多少名学生？

正确答案：E · 分值：1

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1998 AMC8 #15 · Algebra · ★★★
Estimate the population of Nisos in the year 2050.
在 Irenic 海的中央坐落着美丽的 Nisos 群岛。1998 年这些岛屿上的人口仅为 200，但人口每 25 年翻三倍。Irene 女王已颁布法令，岛上每个人必须有至少 1.5 平方英里的空间。Nisos 群岛的总面积为 24,900 平方英里。
估计 2050 年 Nisos 的人口。

正确答案：D · 分值：1

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1998 AMC8 #16 · Algebra · ★★★
Estimate the year in which the population of Nisos will be approximately 6,000.
在 Irenic 海的中央坐落着美丽的 Nisos 群岛。1998 年这些岛屿上的人口仅为 200，但人口每 25 年翻三倍。Irene 女王已颁布法令，岛上每个人必须有至少 1.5 平方英里的空间。Nisos 群岛的总面积为 24,900 平方英里。
估计 Nisos 人口大约达到 6,000 的年份。

正确答案：B · 分值：1

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1998 AMC8 #17 · Algebra · ★★★
In how many years, approximately, from 1998 will the population of Nisos be as much as Queen Irene has proclaimed that the islands can support?
在 Irenic 海的中央坐落着美丽的 Nisos 群岛。1998 年这些岛屿上的人口仅为 200，但人口每 25 年翻三倍。Irene 女王已颁布法令，岛上每个人必须有至少 1.5 平方英里的空间。Nisos 群岛的总面积为 24,900 平方英里。
大约从 1998 年起多少年后，Nisos 的人口会达到 Irene 女王宣布的群岛可承载的数量？

正确答案：C · 分值：1

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1998 AMC8 #23 · Algebra · ★★★★
If the pattern in the diagram continues, what fraction of eighth triangle would be shaded?
如果图中的图案继续下去，第八个三角形着色部分的比例是多少？

正确答案：C · 分值：1

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1998 AMC8 #25 · Algebra · ★★★★
Three generous friends, each with some money, redistribute the money as followed: Amy gives enough money to Jan and Toy to double each of their amounts. Jan then gives enough to Amy and Toy to double their amounts. Finally, Toy gives enough to Amy and Jan to double their amounts. If Toy had 36 dollars at the beginning and 36 dollars at the end, what is the total amount that all three friends have?
三位慷慨的朋友各自拥有一些钱，按如下方式重新分配：Amy 给 Jan 和 Toy 足够的钱，使他们各自的金额翻倍。然后 Jan 给 Amy 和 Toy 足够的钱，使他们的金额翻倍。最后，Toy 给 Amy 和 Jan 足够的钱，使他们的金额翻倍。如果 Toy 一开始有 36 美元，最后也有 36 美元，那么三位朋友共有多少钱？

正确答案：D · 分值：1

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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 #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 #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 #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 #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 #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 #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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1996 AMC8 #2 · Algebra · ★
Jose, Thuy, and Kareem each start with the number 10 . Jose subtracts 1 from the number 10 , doubles his answer, and then adds 2 . Thuy doubles the number 10 , subtracts 1 from her answer, and then adds 2 . Kareem subtracts 1 from the number 10 , adds 2 to his number, and then doubles the result. Who gets the largest final answer?
Jose、Thuy 和 Kareem 各从数字 10 开始。Jose 从 10 中减去 1，将结果加倍，然后加上 2。Thuy 将 10 加倍，从中减去 1，然后加上 2。Kareem 从 10 中减去 1，加上 2，然后将结果加倍。谁得到最大的最终答案？

正确答案：C · 分值：1

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1996 AMC8 #3 · Algebra · ★
The 64 whole numbers from 1 through 64 are written, one per square, on a checkerboard (an 8 by 8 array of 64 squares). The first 8 numbers are written in order across the first row, the next 8 across the second row, and so on. After all 64 numbers are written, the sum of the numbers in the four corners will be
1 到 64 的 64 个正整数被写在一个棋盘（8行8列共 64 格）上，每格一个数。前 8 个数按顺序写在第一行，接下来 8 个写在第二行，以此类推。所有 64 个数写完后，四个角落方格中的数之和是

正确答案：A · 分值：1

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1996 AMC8 #5 · Algebra · ★★
The letters PP , QQ , RR , SS , and TT represent numbers located on the number line as shown.
Which of the following expressions represents a negative number?
字母 PP、QQ、RR、SS 和 TT 表示数轴上的数，如图所示。
以下哪个表达式表示一个负数？

正确答案：A · 分值：1

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1996 AMC8 #6 · Algebra · ★★
What is the smallest result that can be obtained from the following process? Choose three different numbers from the set {3,5,7,11,13,17}\{3,5,7,11,13,17\} . Add two of these numbers. Multiply their sum by the third number.
以下过程可以得到的最小结果是多少？
从集合 {3,5,7,11,13,17}\{3,5,7,11,13,17\} 中选择三个不同的数。 将其中两个数相加。 将它们的和乘以第三个数。

正确答案：C · 分值：1

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1996 AMC8 #7 · Algebra · ★★
Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has 4 goldfish at the same time that Gretel has 128 goldfish, then in how many months from that time will they have the same number of goldfish?
Brent 的金鱼数量每个月翻四倍，Gretel 的金鱼数量每个月翻一倍。如果在 Brent 有 4 条金鱼的同时 Gretel 有 128 条金鱼，那么从那时起多少个月后他们的金鱼数量将相等？

正确答案：B · 分值：1

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1996 AMC8 #9 · Algebra · ★★
If 5 times a number is 2, then 100 times the reciprocal of the number is
如果 5 乘某个数等于 2，则 100 乘该数的倒数等于

正确答案：D · 分值：1

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1996 AMC8 #10 · Algebra · ★★
When Walter drove up to the gasoline pump, he noticed that his gasoline tank was 1/8 full. He purchased 7.5 gallons of gasoline for 10 dollars. With this additional gasoline, his gasoline tank was then 5/8 full. The number of gallons of gasoline his tank holds when it is full is
当 Walter 开车到加油站时，他注意到他的油箱只有 1/8 满。他以 10 美元的价格买了 7.5 加仑汽油。加了这些额外的汽油后，他的油箱变为 5/8 满。油箱装满时的容量是多少加仑？

正确答案：D · 分值：1

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1996 AMC8 #11 · Algebra · ★★★
Let xx be the number
0.0000...0000⏟1996 zeros1,0.\underbrace{0000...0000}_{1996\text{ zeros}}1,
where there are 1996 zeros after the decimal point. Which of the following expressions represents the largest number?
设 xx 为上面所示的数（小数点后有 1996 个零）。以下哪个表达式表示最大的数？

正确答案：D · 分值：1

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1996 AMC8 #13 · Algebra · ★★★
In the fall of 1996, a total of 800 students participated in an annual school clean-up day. The organizers of the event expect that in each of the years 1997, 1998, and 1999, participation will increase by 50% over the previous year. The number of participants the organizers will expect in the fall of 1999 is
1996 年秋季，共有 800 名学生参加了一年一度的学校清洁日。活动组织者预计在 1997、1998 和 1999 年每年，参与人数将在前一年的基础上增加 50%。组织者预计 1999 年秋季的参与人数是

正确答案：E · 分值：1

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1996 AMC8 #16 · Algebra · ★★★
1−2−3+4+5−6−7+8+9−10−11+⋯+1992+1993−1994−1995+1996=1-2-3+4+5-6-7+8+9-10-11+\cdots + 1992+1993-1994-1995+1996=

正确答案：C · 分值：1

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1996 AMC8 #18 · Algebra · ★★★
Ana's monthly salary was $2000 in May. In June she received a 20% raise. In July she received a 20% pay cut. After the two changes in June and July, Ana's monthly salary was
Ana 五月份的月薪是 $2000。六月份她获得了 20% 的加薪。七月份她的薪水被削减了 20%。经过六月和七月的两次变动后，Ana 的月薪是

正确答案：A · 分值：1

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1996 AMC8 #20 · Algebra · ★★★
Suppose there is a special key on a calculator that replaces the number xx currently displayed with the number given by the formula 1/(1-x) . For example, if the calculator is displaying 2 and the special key is pressed, then the calculator will display -1 since 1/(1-2)=-1 . Now suppose that the calculator is displaying 5. After the special key is pressed 100 times in a row, the calculator will display
假设计算器上有一个特殊键，将当前显示的数 xx 替换为公式 1/(1-x) 给出的数。例如，如果计算器显示 2 并按下特殊键，计算器将显示 -1，因为 1/(1-2)=-1。现在假设计算器显示 5。连续按下特殊键 100 次后，计算器将显示

正确答案：A · 分值：1

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1996 AMC8 #23 · Algebra · ★★★★
The manager of a company planned to distribute a $50 bonus to each employee from the company fund, but the fund contained $5 less than what was needed. Instead the manager gave each employee a $45 bonus and kept the remaining $95 in the company fund. The amount of money in the company fund before any bonuses were paid was
某公司经理计划从公司基金中给每位员工发放 $50 的奖金，但基金比所需金额少 $5。于是经理改为给每位员工发放 $45 的奖金，并将剩余的 $95 保留在公司基金中。在发放任何奖金之前，公司基金中的金额是

正确答案：E · 分值：1

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1995 AMC8 #1 · Algebra · ★
Walter has exactly one penny, one nickel, one dime and one quarter in his pocket. What percent of one dollar is in his pocket?
Walter 口袋里恰好有 1 枚 1 美分硬币、1 枚 5 美分硬币、1 枚 10 美分硬币和 1 枚 25 美分硬币。他口袋里的钱是 1 美元的百分之几？

正确答案：D · 分值：1

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1995 AMC8 #2 · Algebra · ★
Jose is 4 years younger than Zack. Zack is 3 years older than Inez. Inez is 15 years old. How old is Jose?
Jose 比 Zack 小 4 岁。Zack 比 Inez 大 3 岁。Inez 15 岁。Jose 多少岁？

正确答案：C · 分值：1

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1995 AMC8 #3 · Algebra · ★★
Which of the following operations has the same effect on a number as multiplying by 34\dfrac{3}{4} and then dividing by 35\dfrac{3}{5} ?
以下哪种运算对一个数的效果与先乘以 34\dfrac{3}{4} 再除以 35\dfrac{3}{5} 相同？

正确答案：E · 分值：1

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1995 AMC8 #4 · Algebra · ★
A teacher tells the class, "Think of a number, add 1 to it, and double the result. Give the answer to your partner. Partner, subtract 1 from the number you are given and double the result to get your answer." Ben thinks of 6 , and gives his answer to Sue. What should Sue's answer be?
老师对全班说：
"想一个数，加 1，然后将结果加倍。把答案告诉你的搭档。搭档，将你得到的数减 1，然后将结果加倍得出你的答案。"
Ben 想了 6，并将他的答案告诉了 Sue。Sue 的答案应是多少？

正确答案：C · 分值：1

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1995 AMC8 #5 · Algebra · ★
Find the smallest whole number that is larger than the sum
212+313+414+515.2\dfrac{1}{2}+3\dfrac{1}{3}+4\dfrac{1}{4}+5\dfrac{1}{5}.
求比上面各数之和大的最小整数。

正确答案：C · 分值：1

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1995 AMC8 #7 · Algebra · ★★
At Clover View Junior High, one half of the students go home on the school bus. One fourth go home by automobile. One tenth go home on their bicycles. The rest walk home. What fractional part of the students walk home?
在 Clover View 初中，二分之一的学生乘校车回家，四分之一乘汽车回家，十分之一骑自行车回家，其余步行回家。步行的学生占几分之几？

正确答案：B · 分值：1

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1995 AMC8 #8 · Algebra · ★★
An American traveling in Italy wishes to exchange American money (dollars) for Italian money (lire). If 3000 lire = 1.60, how much lire will the traveler receive in exchange for 1.00?
一位在意大利旅行的美国人想将美元兑换为意大利里拉。如果 3000 里拉 = 1.60 美元，旅行者用 1.00 美元能换多少里拉？

正确答案：D · 分值：1

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1995 AMC8 #10 · Algebra · ★★
A jacket and a shirt originally sold for 80 dollars and 40 dollars, respectively. During a sale Chris bought the 80 dollar jacket at a 40% discount and the 40 dollar shirt at a 55% discount. The total amount saved was what percent of the total of the original prices?
一件夹克和一件衬衫原价分别为 80 美元和 40 美元。促销期间 Chris 以 40% 折扣买了 80 美元的夹克，以 55% 折扣买了 40 美元的衬衫。节省的总金额是原价总和的百分之多少？

正确答案：A · 分值：1

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1995 AMC8 #11 · Algebra · ★★★
Jane can walk any distance in half the time it takes Hector to walk the same distance. They set off in opposite directions around the outside of the 18-block area as shown. When they meet for the first time, they will be closest to
Jane 走任何距离所花的时间是 Hector 走同样距离所花时间的一半。他们从如图所示的 18 个街区区域的外围向相反方向出发。当他们第一次相遇时，他们最接近哪里？

正确答案：D · 分值：1

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1995 AMC8 #14 · Algebra · ★★★
A team won 40 of its first 50 games. How many of the remaining 40 games must this team win so it will have won exactly 70 % of its games for the season?
一支队伍在前 50 场比赛中赢了 40 场。在剩下的 40 场比赛中他们必须赢多少场，才能使整个赛季的胜率恰好为 70%？

正确答案：B · 分值：1

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1995 AMC8 #16 · Algebra · ★★★
Students from three middle schools worked on a summer project. Seven students from Allen school worked for 3 days. Four students from Balboa school worked for 5 days. Five students from Carver school worked for 9 days. The total amount paid for the students' work was 774. Assuming each student received the same amount for a day's work, how much did the students from Balboa school earn altogether?
三所中学的学生参与了一个暑期项目。
Allen 学校的 7 名学生工作了 3 天。 Balboa 学校的 4 名学生工作了 5 天。 Carver 学校的 5 名学生工作了 9 天。
学生工作的总报酬为 774 美元。假设每个学生每天的工作报酬相同，Balboa 学校的学生总共挣了多少钱？

正确答案：C · 分值：1

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1995 AMC8 #25 · Algebra · ★★★★
Buses from Dallas to Houston leave every hour on the hour. Buses from Houston to Dallas leave every hour on the half hour. The trip from one city to the other takes 5 hours. Assuming the buses travel on the same highway, how many Dallas-bound buses does a Houston-bound bus pass in the highway (not in the station)?
从 Dallas 到 Houston 的巴士每小时正点发车。从 Houston 到 Dallas 的巴士每小时半点发车。从一城到另一城的行程需 5 小时。假设巴士在同一条高速公路上行驶，一辆从 Houston 出发的巴士在途中（不在车站）会与多少辆 Dallas 方向的巴士相遇？

正确答案：D · 分值：1

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1994 AMC8 #3 · Algebra · ★★
Each day Maria must work 8 hours. This does not include the 45 minutes she takes for lunch. If she begins working at 7:25 A.M.\text{7:25 A.M.} and takes her lunch break at noon, then her working day will end at
Maria 每天需要工作 8 小时，不包括 45 分钟的午休时间。如果她于上午 7:25\text{7:25} 开始工作，并在中午开始午休，那么她的工作日将结束于

正确答案：C · 分值：1

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1994 AMC8 #5 · Algebra · ★
Given that 1 mile=8 furlongs\text{1 mile} = \text{8 furlongs} and 1 furlong=40 rods\text{1 furlong} = \text{40 rods}, the number of rods in one mile is
已知 \text{1 英里} = \text{8 弗隆}，\text{1 弗隆} = \text{40 杆}，则 1 英里等于多少杆？

正确答案：B · 分值：1

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1994 AMC8 #9 · Algebra · ★★
A shopper buys a 100 dollar coat on sale for 20% off. An additional 5 dollars are taken off the sale price by using a discount coupon. A sales tax of 8% is paid on the final selling price. The total amount the shopper pays for the coat is
一位顾客以 20% 折扣买了一件 100 美元的外套。使用折扣券再减 5 美元。最终售价需缴纳 8% 的销售税。顾客买这件外套总共支付多少钱？

正确答案：A · 分值：1

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1994 AMC8 #13 · Algebra · ★★★
The number halfway between 16\dfrac{1}{6} and 14\dfrac{1}{4} is
16\dfrac{1}{6} 和 14\dfrac{1}{4} 正中间的数是多少？

正确答案：C · 分值：1

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1994 AMC8 #14 · Algebra · ★★★
Two children at a time can play pairball. For 90 minutes, with only two children playing at time, five children take turns so that each one plays the same amount of time. The number of minutes each child plays is
双人壁球每次只能两名儿童同时玩。在 90 分钟内，只有两名儿童同时在玩，五名儿童轮流上场，使得每人玩的时间相同。每名儿童玩多少分钟？

正确答案：E · 分值：1

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1994 AMC8 #17 · Algebra · ★★★
Pauline Bunyan can shovel snow at the rate of 20 cubic yards for the first hour, 19 cubic yards for the second, 18 for the third, etc., always shoveling one cubic yard less per hour than the previous hour. If her driveway is 4 yards wide, 10 yards long, and covered with snow 3 yards deep, then the number of hours it will take her to shovel it clean is closest to
Pauline Bunyan 第一小时可以铲 20 立方码的雪，第二小时 19 立方码，第三小时 18 立方码，以此类推，每小时比前一小时少铲一立方码。如果她的车道宽 4 码、长 10 码，覆盖着 3 码深的雪，那么她铲完雪所需的小时数最接近

正确答案：D · 分值：1

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1994 AMC8 #18 · Algebra · ★★★
Mike leaves home and drives slowly east through city traffic. When he reaches the highway he drives east more rapidly until he reaches the shopping mall where he stops. He shops at the mall for an hour. Mike returns home by the same route as he came, driving west rapidly along the highway and then slowly through city traffic. Each graph shows the distance from home on the vertical axis versus the time elapsed since leaving home on the horizontal axis. Which graph is the best representation of Mike's trip?
Mike 离开家，在城市交通中向东缓慢行驶。当他到达高速公路上时，他更快速地向东行驶，直到到达购物中心并停下来。他在购物中心购物一小时。Mike 按原路返回，沿高速公路快速向西行驶，然后缓慢通过城市交通到达家。每个图表的纵轴表示离家距离，横轴表示离家后经过的时间。哪张图能最好地表示 Mike 的行程？

正确答案：B · 分值：1

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1994 AMC8 #20 · Algebra · ★★★
Let W,X,Y and ZZ be four different digits selected from the set {1,2,3,4,5,6,7,8,9}.\{ 1,2,3,4,5,6,7,8,9\}. If the sum WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} is to be as small as possible, then WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} must equal
设 W,X,Y 和 ZZ 是从集合 {1,2,3,4,5,6,7,8,9}\{1,2,3,4,5,6,7,8,9\} 中选出的四个不同数字。
若要和 WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} 尽可能小，则 WX+YZ\dfrac{W}{X} + \dfrac{Y}{Z} 必须等于

正确答案：D · 分值：1

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1993 AMC8 #1 · Algebra · ★
Which pair of numbers does NOT have a product equal to 36 ?
哪对数的乘积不等于 36？

正确答案：C · 分值：1

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1993 AMC8 #6 · Algebra · ★★
A can of soup can feed 3 adults or 5 children. If there are 5 cans of soup and 15 children are fed, then how many adults would the remaining soup feed?
一罐汤可以喂饱 3 个成人或 5 个儿童。如果有 5 罐汤且已喂饱了 15 个儿童，那么剩下的汤可以喂饱多少个成人？

正确答案：B · 分值：1

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1993 AMC8 #8 · Algebra · ★★
To control her blood pressure, Jill's grandmother takes one half of a pill every other day. If one supply of medicine contains 60 pills, then the supply of medicine would last approximately
为了控制血压，Jill 的祖母每隔一天服用半片药。如果一份药包含 60 片，那么这份药大约能持续多久？

正确答案：D · 分值：1

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1993 AMC8 #9 · Algebra · ★★
Consider the operation ∗\ast defined by the table below. What is (2∗4)∗1(2\ast 4)\ast 1?
考虑由下表定义的运算 ∗\ast。(2∗4)∗1(2\ast 4)\ast 1 等于多少？

正确答案：D · 分值：1

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1993 AMC8 #12 · Algebra · ★★★
If each of the three operation signs, +{+} , –\text{--} , ×\times , is used exactly ONCE in one of the blanks in the expression
5‾4‾6‾35\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}4\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}6\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}3
then the value of the result could equal
如果三个运算符号 +{+}、–\text{--}、×\times 各恰好使用一次，填入表达式
5‾4‾6‾35\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}4\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}6\hspace{1 mm}\underline{\hspace{4 mm}}\hspace{1 mm}3
的空白中，则结果的值可能等于

正确答案：E · 分值：1

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1993 AMC8 #21 · Algebra · ★★★
If the length of a rectangle is increased by 20% and its width is increased by 50% , then the area is increased by
如果矩形的长增加 20%，宽增加 50%，则面积增加了

正确答案：D · 分值：1

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1993 AMC8 #24 · Algebra · ★★★★
What number is directly above 142 in this array of numbers?
在此数字阵列中，142 正上方的数是多少？

正确答案：C · 分值：1

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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 #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 #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 #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 #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 #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 #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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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 #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 #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 #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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1990 AMC8 #2 · Algebra · ★
Which digit of 0.12345 , when changed to 9 , gives the largest number?
将 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 #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 #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 #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 #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 #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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1989 AMC8 #4 · Algebra · ★
Estimate to determine which of the following numbers is closest to 4010.205\displaystyle \frac{401}{0.205} .
估算 4010.205\displaystyle \frac{401}{0.205} 最接近以下哪个数。

正确答案：E · 分值：1

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1989 AMC8 #6 · Algebra · ★★
If the markings on the number line are equally spaced, what is the number yy ?
如果数轴上的标记是等间距的，数 yy 是多少？

正确答案：C · 分值：1

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1989 AMC8 #7 · Algebra · ★★
If the value of 20 quarters and 10 dimes equals the value of 10 quarters and nn dimes, then n=
如果 20 个 25 分硬币和 10 个 10 分硬币的总价值等于 10 个 25 分硬币和 nn 个 10 分硬币的总价值，则 n=

正确答案：D · 分值：1

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1989 AMC8 #9 · Algebra · ★★
There are 2 boys for every 3 girls in Ms. Johnson's math class. If there are 30 students in her class, what percent of them are boys?
Ms. Johnson 的数学班上每 2 个男生对应 3 个女生。如果她班上有 30 名学生，男生占百分之多少？

正确答案：C · 分值：1

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1989 AMC8 #17 · Algebra · ★★★
The number NN is between 9 and 17 . The average of 6 , 10 , and NN could be
数 NN 在 9 到 17 之间。6、10 和 NN 的平均数可能是

正确答案：B · 分值：1

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1989 AMC8 #18 · Algebra · ★★★
Many calculators have a reciprocal key 1x\displaystyle \boxed{\frac{1}{x}} that replaces the current number displayed with its reciprocal. For example, if the display is 00004\boxed{00004} and the 1x\displaystyle \boxed{\frac{1}{x}} key is depressed, then the display becomes 000.25\boxed{000.25} . If 00032\boxed{00032} is currently displayed, what is the fewest number of times you must depress the 1x\displaystyle \boxed{\frac{1}{x}} key so the display again reads 00032\boxed{00032} ?
许多计算器有一个倒数键 1x\displaystyle \boxed{\frac{1}{x}}，将当前显示的数替换为其倒数。例如，如果显示为 00004\boxed{00004} 并按下 1x\displaystyle \boxed{\frac{1}{x}} 键，则显示变为 000.25\boxed{000.25}。如果当前显示 00032\boxed{00032}，最少需要按多少次 1x\displaystyle \boxed{\frac{1}{x}} 键才能使显示再次变为 00032\boxed{00032}？

正确答案：B · 分值：1

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1989 AMC8 #21 · Algebra · ★★★
Jack had a bag of 128 apples. He sold 25% of them to Jill. Next he sold 25% of those remaining to June. Of those apples still in his bag, he gave the shiniest one to his teacher. How many apples did Jack have then?
Jack 有一袋 128 个苹果。他将其中的 25% 卖给了 Jill。接着他将剩下苹果中的 25% 卖给了 June。然后从袋中剩下的苹果中，他把最亮的那一个送给了老师。那时 Jack 还有多少个苹果？

正确答案：D · 分值：1

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1988 AMC8 #1 · Algebra · ★
The diagram shows part of a scale of a measuring device. The arrow indicates an approximate reading of
图中显示了一个测量设备刻度的一部分。箭头所指的近似读数是

正确答案：D · 分值：1

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1988 AMC8 #2 · Algebra · ★
The product 8×0.25×2×0.125=8\times 0.25\times 2\times 0.125 =
乘积 8×0.25×2×0.125=8\times 0.25\times 2\times 0.125 =

正确答案：C · 分值：1

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1988 AMC8 #7 · Algebra · ★
2.46×8.163×(5.17+4.829)2.46\times 8.163\times (5.17+4.829) is closest to
2.46×8.163×(5.17+4.829)2.46\times 8.163\times (5.17+4.829) 最接近

正确答案：B · 分值：1

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1988 AMC8 #8 · Algebra · ★★
Betty used a calculator to find the product 0.075×2.560.075 \times 2.56 . She forgot to enter the decimal points. The calculator showed 19200 . If Betty had entered the decimal points correctly, the answer would have been
Betty 用计算器求乘积 0.075×2.560.075 \times 2.56。她忘记输入小数点。计算器显示 19200。如果 Betty 正确输入了小数点，答案应该是

正确答案：B · 分值：1

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1988 AMC8 #12 · Algebra · ★★★
Suppose the estimated 20 billion dollar cost to send a person to the planet Mars is shared equally by the 250 million people in the U.S. Then each person's share is
假设送一个人去火星的估计成本为 200 亿美元，由美国 2.5 亿人平均分担。则每人应承担

正确答案：C · 分值：1

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1988 AMC8 #15 · Algebra · ★★★
The reciprocal of (12+13)\displaystyle \left( \frac{1}{2}+\frac{1}{3}\right) is
(12+13)\displaystyle \left( \frac{1}{2}+\frac{1}{3}\right) 的倒数是

正确答案：C · 分值：1

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1988 AMC8 #19 · Algebra · ★★★
What is the 100th100\text{th} number in the arithmetic sequence: 1,5,9,13,17,21,25,... ?
等差数列 1,5,9,13,17,21,25,... 中的第 100 个数是多少？

正确答案：A · 分值：1

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1988 AMC8 #20 · Algebra · ★★★
Problem The glass gauge on a cylindrical coffee maker shows that there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when it is full?
一个圆柱形咖啡壶的玻璃刻度显示，当咖啡壶 36% 满时还剩下 45 杯。咖啡壶满的时候能装多少杯咖啡？

正确答案：C · 分值：1

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1988 AMC8 #22 · Algebra · ★★★
Tom's Hat Shoppe increased all original prices by 25% . Now the shoppe is having a sale where all prices are 20% off these increased prices. Which statement best describes the sale price of an item?
Tom's Hat Shoppe 将所有原价提高 25%。现在该店正在进行促销，所有价格在提高后的基础上打 20% 折扣。以下哪句话最能描述商品的促销价格？

正确答案：E · 分值：1

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1988 AMC8 #23 · Algebra · ★★★
Maria buys computer disks at a price of 4 for $5 and sells them at a price of 3 for $5 . How many computer disks must she sell in order to make a profit of $100 ?
Maria 以 $5 买 4 张的价格购入计算机磁盘，以 $5 卖 3 张的价格出售。为获得 $100 利润，她必须卖出多少张磁盘？

正确答案：D · 分值：1

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1987 AMC8 #4 · Algebra · ★★
Martians measure angles in clerts. There are 500 clerts in a full circle. How many clerts are there in a right angle?
火星人以 clert 为单位度量角度。一整个圆周有 500 clert。一个直角有多少 clert？

正确答案：C · 分值：1

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1987 AMC8 #6 · Algebra · ★★
The smallest product one could obtain by multiplying two numbers in the set {−7,−5,−1,1,3}\{ -7,-5,-1,1,3 \} is
将集合 {−7,−5,−1,1,3}\{-7,-5,-1,1,3\} 中的两个数相乘，能得到的最小乘积是

正确答案：B · 分值：1

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1987 AMC8 #8 · Algebra · ★★
If the letters are replaced by digits so that the given addition problem is correct, then the number of digits (not necessarily different) in the sum of the three whole numbers is
若字母被数字替换使得给定的加法算式正确，则三个整数的和的位数（数字不必不同）为

正确答案：B · 分值：1

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1987 AMC8 #11 · Algebra · ★★★
The sum 217+312+5119\displaystyle 2\frac17+3\frac12+5\frac{1}{19} is between
和 217+312+5119\displaystyle 2\frac17+3\frac12+5\frac{1}{19} 在以下哪两个数之间？

正确答案：B · 分值：1

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1987 AMC8 #13 · Algebra · ★★★
Which of the following fractions has the largest value?
以下哪个分数值最大？

正确答案：E · 分值：1

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1987 AMC8 #14 · Algebra · ★★★
A computer can do 10,000 additions per second. How many additions can it do in one hour?
一台计算机每秒可以做 10,000 次加法。它在一小时内能做多少次加法？

正确答案：B · 分值：1

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1987 AMC8 #15 · Algebra · ★★★
The sale ad read: "Buy three tires at the regular price and get the fourth tire for $3. " Sam paid $240 for a set of four tires at the sale. What was the regular price of one tire?
促销广告写道："以原价购买三个轮胎，第四个轮胎仅需 $3。" Sam 在促销中以 $240 买了一套四个轮胎。一个轮胎的原价是多少？

正确答案：D · 分值：1

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1987 AMC8 #16 · Algebra · ★★★
Joyce made 12 of her first 30 shots in the first three games of this basketball season, so her seasonal shooting average was 40% . In her next game, she took 10 shots and raised her seasonal shooting average to 50% . How many of these 10 shots did she make?
Joyce 在本篮球赛季的前三场比赛中前 30 次出手命中 12 次，因此她的赛季命中率为 40%。在下一场比赛中，她出手 10 次并将赛季命中率提高到 50%。这 10 次出手她命中了多少次？

正确答案：E · 分值：1

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1987 AMC8 #18 · Algebra · ★★★
Half the people in a room left. One third of those remaining started to dance. There were then 12 people who were not dancing. The original number of people in the room was
房间中一半的人离开了。剩下的人中有三分之一开始跳舞。此时有 12 人没有跳舞。房间里原来的人数是

正确答案：C · 分值：1

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1987 AMC8 #19 · Algebra · ★★★
A calculator has a squaring key x2\boxed{x^2} which replaces the current number displayed with its square. For example, if the display is          3\boxed{\ \ \ \ \ \ \ \ \ 3} and the x2\boxed{x^2} key is depressed, then the display becomes          9\boxed{\ \ \ \ \ \ \ \ \ 9} . If the display reads          2\boxed{\ \ \ \ \ \ \ \ \ 2} , how many times must you depress the x2\boxed{x^2} key to produce a displayed number greater than 500 ?
一个计算器有一个平方键 x2\boxed{x^2}，将当前显示的数替换为其平方。例如，如果显示为 3\boxed{3} 并按下 x2\boxed{x^2} 键，则显示变为 9\boxed{9}。如果显示 2\boxed{2}，需要按多少次 x2\boxed{x^2} 键才能产生一个大于 500 的显示数？

正确答案：A · 分值：1

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1987 AMC8 #21 · Algebra · ★★★
Suppose n∗n^{*} means 1n\displaystyle \frac{1}{n} , the reciprocal of nn . For example, 5∗=15\displaystyle 5^{*}=\frac{1}{5} . How many of the following statements are true? \hspace{2em} i) 3∗+6∗=9∗3^*+6^*=9^* \hspace{2em} ii) 6∗−4∗=2∗6^*-4^*=2^* \hspace{2em} iii) 2∗⋅6∗=12∗2^*\cdot 6^*=12^* \hspace{2em} iv) 10∗÷2∗=5∗10^*\div 2^* =5^*
设 n∗n^{*} 表示 1n\displaystyle \frac{1}{n}，即 nn 的倒数。例如 5∗=15\displaystyle 5^{*}=\frac{1}{5}。以下陈述中有多少条为真？
\hspace{2em} i) 3∗+6∗=9∗3^*+6^*=9^*
\hspace{2em} ii) 6∗−4∗=2∗6^*-4^*=2^*
\hspace{2em} iii) 2∗⋅6∗=12∗2^*\cdot 6^*=12^*
\hspace{2em} iv) 10∗÷2∗=5∗10^*\div 2^* =5^*

正确答案：C · 分值：1

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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 #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 #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 #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 #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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1985 AMC8 #6 · Algebra · ★★
A ream of paper containing 500 sheets is 5 cm thick. Approximately how many sheets of this type of paper would there be in a stack 7.5 cm high?
一令纸含有 500 张，厚度为 5 厘米。同类型的纸叠成 7.5 厘米高的一摞，大约有多少张？

正确答案：D · 分值：1

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1985 AMC8 #7 · Algebra · ★★
A "stair-step" figure is made of alternating black and white squares in each row. Rows 1 through 4 are shown. All rows begin and end with a white square. The number of black squares in the 37th37\text{th} row is
一个"阶梯"图形由每行交替的黑白正方形组成。图中显示了第 1 行到第 4 行。每行都以一个白色正方形开始和结束。第 37 行中黑色正方形的数量是

正确答案：C · 分值：1

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1985 AMC8 #8 · Algebra · ★★
If a = - 2 , the largest number in the set {−3a,4a,24a,a2,1}\displaystyle \{ - 3a, 4a, \frac {24}{a}, a^2, 1\} is
若 a = -2，集合 {−3a,4a,24a,a2,1}\displaystyle \{-3a, 4a, \frac{24}{a}, a^2, 1\} 中最大的数是

正确答案：A · 分值：1

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1985 AMC8 #10 · Algebra · ★★
The fraction halfway between 15\displaystyle \frac{1}{5} and 13\displaystyle \frac{1}{3} (on the number line) is
数轴上 15\displaystyle \frac{1}{5} 和 13\displaystyle \frac{1}{3} 正中间的分数是

正确答案：C · 分值：1

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1985 AMC8 #13 · Algebra · ★★★
If you walk for 45 minutes at a rate of 4 mph4 \text{ mph} and then run for 30 minutes at a rate of 10 mph10\text{ mph} , how many miles will you have gone at the end of one hour and 15 minutes?
如果你以 4 mph4 \text{ mph} 的速度步行 45 分钟，然后以 10 mph10\text{ mph} 的速度跑步 30 分钟，那么在一小时 15 分钟结束时你走了多少英里？

正确答案：B · 分值：1

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1985 AMC8 #14 · Algebra · ★★★
The difference between a 6.5% sales tax and a 6% sales tax on an item priced at $20 before tax is
一件标价 $20 的商品，6.5% 销售税和 6% 销售税的差额是

正确答案：B · 分值：1

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1985 AMC8 #16 · Algebra · ★★★
The ratio of boys to girls in Mr. Brown's math class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?
Mr. Brown 的数学班上男生与女生的比例是 2:3。如果班上有 30 名学生，女生比男生多多少人？

正确答案：D · 分值：1

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1985 AMC8 #17 · Algebra · ★★★
If your average score on your first six mathematics tests was 84 and your average score on your first seven mathematics tests was 85, then your score on the seventh test was
如果你前六次数学考试的平均分是 84，前七次数学考试的平均分是 85，那么你第七次考试的分数是

正确答案：D · 分值：1

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1985 AMC8 #21 · Algebra · ★★★★
Mr. Green receives a 10% raise every year. His salary after four such raises has gone up by what percent?
Mr. Green 每年获得 10% 的加薪。经过四次这样的加薪后，他的工资上涨了百分之多少？

正确答案：E · 分值：1

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1985 AMC8 #23 · Algebra · ★★★★
King Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at King Middle School?
King 中学有 1200 名学生。每名学生每天上 5 节课。每位教师每天教 4 节课。每节课有 30 名学生和 1 名教师。King 中学有多少名教师？

正确答案：E · 分值：1

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