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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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2025 AMC8 #1 · Geometry · ★
The eight-pointed star, shown in the figure below, is a popular quilting pattern. What percent of the entire 4×44\times4 grid is covered by the star?
下图所示的八角星是一种流行的拼布图案。请问这个星形图案的面积占整个4×4网格的百分之多少？

正确答案：B · 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 #6 · Number Theory · ★
Sekou writes the numbers 15, 16, 17, 18, 19. After he erases one of his numbers, the sum of the remaining four numbers is a multiple of 4. Which number did he erase?
Sekou写下数字15、16、17、18、19。他擦去其中一个数字后，剩下的四个数字之和是4的倍数。请问他擦去了哪个数字？

正确答案：C · 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 #4 · Number Theory · ★
When Yunji added all the integers from 1 through 9, she mistakenly left out a number. Her incorrect sum turned out to be a square number. Which number did Yunji leave out?
Yunji 将 1到 9之间的所有整数相加时，漏加了一个数字，得到的错误结果是一个平方数。请问Yunji 漏加的是哪个数字？

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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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 #9 · Counting, Probability & Statistics · ★
Malaika is skiing on a mountain. The graph below shows her elevation, in meters, above the base of the mountain as she skis along a trail. In total, how many seconds does she spend at an elevation between 4 and 7 meters?
正在山上滑雪下图显示了她沿着小径滑雪时以山脚为基准的海拔高度 (单位为米)．问她在4米到7米之间的高度共停留了多少秒？

正确答案：B · 分值：1

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2022 AMC8 #1 · Geometry · ★
The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches?
在由边长为 1 英寸的正方形组成的方格纸上，数学小组设计了一个类似乘法符号的标志，如下图所示。问该标志的面积是多少平方英寸？

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 #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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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 #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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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 #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 #9 · Geometry · ★
Alex and Felicia each have cats as pets. Alex buys cat food in cylindrical cans that are 6 cm in diameter and 12 cm high. Felicia buys cat food in cylindrical cans that are 12 cm in diameter and 6 cm high. What is the ratio of the volume of one of Alex's cans to the volume of one of Felicia's cans?
Alex 和 Felicia 他们都有宠物猫。Alex 买的宠物猫粮是装在底面直径为 6 厘米，高度 12 厘米的圆柱形罐子里的。Felicia 买的猫粮则装在底面直径是 12 厘米，高为 6 厘米的圆柱形罐子里。问 Alex 的罐子的体积和 Felicia 的罐子的体积之比是多少?

正确答案：B · 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 #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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2017 AMC8 #2 · Counting, Probability & Statistics · ★
Alicia, Brenda, and Colby were the candidates in a recent election for student president. The pie chart below shows how the votes were distributed among the three candidates. If Brenda received 36 votes, then how many votes were cast all together?
Alicia，Brenda 和 Colby 是最近的一次竞选学生主席的 3 个候选人。下面的饼图显示了这 3 人候选人的投票分布。若 Brenda 得到了 36 票，那么总共投了多少票？

正确答案：E · 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 #6 · Geometry · ★
If the degree measures of the angles of a triangle are in the ratio 3:3:4 , what is the degree measure of the largest angle of the triangle?
如果一个三角形的三个角度数之比为 3：3：4，那么这个三角形的最大的角是多少度？

正确答案：D · 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 #2 · Geometry · ★
In rectangle ABCD , AB=6 and AD=8 . Point M is the midpoint of AD‾\overline{AD}. What is the area of △AMC\triangle AMC?
在矩形 ABCD 中，AB=6，AD=8，点 M 是

正确答案：A · 分值：1

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2016 AMC8 #3 · Counting, Probability & Statistics · ★
Four students take an exam. Three of their scores are 70, 80, and 90 . If the average of their four scores is 70 , then what is the remaining score?
4 个学生参加一个考试。其中 3 个的分数是 70，80，90．若他们的平均分是 70 分，那么剩下那个学生的分数是多少分？

正确答案：A · 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 #4 · Counting, Probability & Statistics · ★
The Centerville Middle School chess team consists of two boys and three girls. A photographer wants to take a picture of the team to appear in the local newspaper. She decides to have them sit in a row with a boy at each end and the three girls in the middle. How many such arrangements are possible?
Centerville 中学的国际象棋队由 2 个男生和 3 个女生组成。一家报社的摄影师想给他们拍张照片放到报纸上。她决定让他们坐成一排，需要 2 个男生坐两端，3 个女生坐中间。一共有多少种可能的安排方法？

正确答案：E · 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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2013 AMC8 #1 · Number Theory · ★
Danica wants to arrange her model cars in rows with exactly 6 cars in each row. She now has 23 model cars. What is the smallest number of additional cars she must buy in order to be able to arrange all her cars this way?
Danica 想把她的模型汽车排成每行 6 辆的若干行，她现在有 23 辆模型汽车，那么她还需要至少买多少辆模型汽车才能完成上述安排？

正确答案：A · 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 #5 · Counting, Probability & Statistics · ★
Hammie is in 6th6^\text{th} grade and weighs 106 pounds. His quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds?
Hammie 目前六年级，重 106 磅。她的四胞胎妹妹们现在还是婴儿，分别重 5，5，6，8 磅。 问这 5 个小孩的平均重量和重量的中位数，哪个大？大多少磅？

正确答案：E · 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 #6 · Geometry · ★
A rectangular photograph is placed in a frame that forms a border two inches wide on all sides of the photograph. The photograph measures 8 inches high and 10 inches wide. What is the area of the border, in square inches?
一张长方形的照片被放置在一个框架中，框架在照片的四周形成一个两英寸宽的边界。这张照片高 8 英寸，宽 10 英寸。边界的面积是多少平方英寸？

正确答案：E · 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 #2 · Geometry · ★
Karl's rectangular vegetable garden is 20 feet by 45 feet, and Makenna's is 25 feet by 40 feet. Whose garden is larger in area?
Karl 的长方形蔬菜园的尺寸是 20 英尺ｘ45 英尺，Makenna 的菜园是 25 英尺ｘ40 英尺。下面哪句话是对的？

正确答案：E · 分值：1

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2011 AMC8 #4 · Counting, Probability & Statistics · ★
Here is a list of the numbers of fish that Tyler caught in nine outings last summer:
2,0,1,3,0,3,3,1,2.2,0,1,3,0,3,3,1,2.
Which statement about the mean, median, and mode is true?
下面是 Tyler 去年夏天在 9 次出游中钓到的鱼的数量列表：2，0，1，3，0，3，3，1，2。关于平均值、中位数和众数的说法，下面哪个正确？ mean | 平均值
median | 中位数
mode | 众数

正确答案：C · 分值：1

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2011 AMC8 #8 · Counting, Probability & Statistics · ★
Bag A has three chips labeled 1, 3, and 5. Bag B has three chips labeled 2, 4, and 6. If one chip is drawn from each bag, how many different values are possible for the sum of the two numbers on the chips?
口袋 A 中有标有 1，3，5 的三个筹码，口袋 B 中有标有 2，4，6 的三个筹码。若从每个口袋中随机抽出一个筹码，那么这 2 个筹码上的数字之和有多少种可能的不同值？

正确答案：B · 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 #4 · Counting, Probability & Statistics · ★
What is the sum of the mean, median, and mode of the numbers 2,3,0,3,1,4,0,3 ?
数字 2，3，0，3，1，4，0，3 的平均数，中位数，众数之和是多少？

正确答案：C · 分值：1

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2010 AMC8 #6 · Geometry · ★
Which of the following figures has the greatest number of lines of symmetry?
下面哪个图形对称轴的个数最多？

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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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 #2 · Counting, Probability & Statistics · ★
The ten-letter code BEST OF LUCK\text{BEST OF LUCK} represents the ten digits 0-9 , in order. What 4-digit number is represented by the code word CLUE\text{CLUE} ?
十个字母的代码 BEST OF LUCK 按顺序依次表示 O—9 这十个数字。代码字 CLUE 代表的 4 位数是什么？

正确答案：A · 分值：1

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2008 AMC8 #4 · Geometry · ★
In the figure, the outer equilateral triangle has area 16 , the inner equilateral triangle has area 1 , and the three trapezoids are congruent. What is the area of one of the trapezoids?
下图所示的四形中，外层等边三角形的面积为 16，内部边三角形的面积为 1，三个梯形都是全等的，那么其中一个梯形的面积是多少？

正确答案：C · 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 #8 · Counting, Probability & Statistics · ★
Candy sales from the Boosters Club from January through April are shown. What were the average sales per month in dollars?
下图显示了 Boosters 俱乐部从 1 月到 4 月的糖果销售情况。每月的平均销售额是多少美元？

正确答案：D · 分值：1

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2007 AMC8 #1 · Counting, Probability & Statistics · ★
Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of 10 hours per week helping around the house for 6 weeks. For the first 5 weeks she helps around the house for 8 , 11 , 7 , 12 and 10 hours. How many hours must she work for the final week to earn the tickets?
如果特蕾莎平均每周花 10 个小时在家里帮忙，一共帮忙 6 周，那么她的父母就同意给她买票去看她最喜欢的乐队。在最初的 5 周里，她在家里帮忙了 8，11，7，12 和 10 个小时。最后一周她必须工作多少小时才能挣到票？

正确答案：D · 分值：1

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2007 AMC8 #2 · Counting, Probability & Statistics · ★
650 students were surveyed about their pasta preferences. The choices were lasagna, manicotti, ravioli and spaghetti. The results of the survey are displayed in the bar graph. What is the ratio of the number of students who preferred spaghetti to the number of students who preferred manicotti?
调查了 650 个学生对意大利面的偏好。可供选择的食物有烤宽而条、意大利通心面、水饺和意大利细面条。调查结果显示在下面条形图中。喜欢意大利细面条的学生人数与喜欢意大利通心面的学生人数的比值是多少？

正确答案：E · 分值：1

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2007 AMC8 #3 · Number Theory · ★
What is the sum of the two smallest prime factors of 250 ?
250 的最小的两个质因子之和是多少？

正确答案：C · 分值：1

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2007 AMC8 #4 · Counting, Probability & Statistics · ★
A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?
一间闹鬼的房子有 6 扇窗户。Georgie 这只鬼从其中一扇窗口进入房子，再从另一扇不同的窗户离开房子，一共有多少种方法？

正确答案：D · 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 #6 · Geometry · ★
The letter T is formed by placing two 2×42 \times 4 inch rectangles next to each other, as shown. What is the perimeter of the T, in inches?
将两个 2×4 英寸的矩形相邻放置，形成下图所示的 T 字形。那么这个 T 字形的周长是多少英寸？

正确答案：C · 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 #4 · Geometry · ★
A square and a triangle have equal perimeters. The lengths of the three sides of the triangle are 6.1 cm, 8.2 cm and 9.7 cm. What is the area of the square in square centimeters?
一个正方形和一个三角形的周长相等。三角形的三条边长分别是 6.1cm，8.2cm 和 9.7cm。那么正方形的面积是多少平方厘米？

正确答案：C · 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 #4 · Counting, Probability & Statistics · ★
Ms. Hamilton’s eighth-grade class wants to participate in the annual three-person-team basketball tournament.
Lance, Sally, Joy, and Fred are chosen for the team. In how many ways can the three starters be chosen?
Hamilton 女士的八年级班级想参加一年一度的三人篮球团体赛。Lance，Sally，Joy 和 Fred 为待选队员。要从中选择三名作为先发球员，一共有多少种方法？

正确答案：B · 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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2003 AMC8 #1 · Geometry · ★
Jamie counted the number of edges of a cube, Jimmy counted the numbers of corners, and Judy counted the number of faces. They then added the three numbers. What was the resulting sum?
Jamie 数了一个正方体的边数，Jimmy 数了它的顶点数，Judy 数了它的面数。然后他们把这三个数字相加。结果是多少？

正确答案：E · 分值：1

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2003 AMC8 #2 · Number Theory · ★
Which of the following numbers has the smallest prime factor?
下面哪个数有最小的质因子?

正确答案：C · 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 #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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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 #7 · Counting, Probability & Statistics · ★
The students in Mrs. Sawyer's class were asked to do a taste test of five kinds of candy. Each student chose one kind of candy. A bar graph of their preferences is shown. What percent of her class chose candy E?
Sawyer 夫人班上的学生被要求对五种糖果进行口味测试。每个学生都选了一种糖果。下面的条形图显示了他们的个人喜好。她班有百分之几的学生选择了糖果 E?
Number of students | 学生数量
Kind of candy | 糖果种类

正确答案：E · 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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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 #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 #4 · Counting, Probability & Statistics · ★
In 1960 only 5% of the working adults in Carlin City worked at home. By 1970 the "at-home" work force had increased to 8%. In 1980 there were approximately 15% working at home, and in 1990 there were 30%. The graph that best illustrates this is:
在 1960 年，Carlin 城市只有 5％的劳动力在家办公，到 1970 年，在家办公的劳动力增加到了 8％，在 1980 年，大概有 15％的劳动力在家办公，在 1990 年，是 30％。下面的图像中，最能体现这一点的是

正确答案：E · 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 #2 · Geometry · ★
What is the degree measure of the smaller angle formed by the hands of a clock at 10 o'clock?
时钟在 10 点整时，时针和分针所形成较小角的度数是多少？

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

正确答案：D · 分值：1

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1996 AMC8 #1 · Number Theory · ★
How many positive factors of 36 are also multiples of 4?
36 的正因数中有多少个也是 4 的倍数？

正确答案：B · 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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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 #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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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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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 #2 · Number Theory · ★
When the fraction 4984\dfrac{49}{84} is expressed in simplest form, then the sum of the numerator and the denominator will be
当分数 4984\dfrac{49}{84} 化为最简形式时，分子与分母之和是

正确答案：C · 分值：1

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1993 AMC8 #5 · Counting, Probability & Statistics · ★
Which one of the following bar graphs could represent the data from the circle graph?
以下哪张柱状图可以表示圆形图中的数据？

正确答案：C · 分值：1

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1993 AMC8 #10 · Counting, Probability & Statistics · ★
This line graph represents the price of a trading card during the first 6 months of 1993 .
The greatest monthly drop in price occurred during
此折线图表示了 1993 年前 6 个月一张交易卡的价格。
价格月跌幅最大的是在

正确答案：B · 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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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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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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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 #5 · Geometry · ★
Problem If ∠CBD\angle CBD is a right angle, then this protractor indicates that the measure of ∠ABC\angle ABC is approximately
如果 ∠CBD\angle CBD 是直角，则该量角器显示 ∠ABC\angle ABC 的近似度数是

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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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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1985 AMC8 #5 · Counting, Probability & Statistics · ★
The bar graph shows the grades in a mathematics class for the last grading period. If A, B, C, and D are satisfactory grades, what fraction of the grades shown in the graph are satisfactory?
柱状图显示了一个数学班上个评分周期的成绩。如果 A、B、C 和 D 是及格成绩，图表中显示的及格成绩占几分之几？

正确答案：C · 分值：1

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