AMC8 2019 Problems

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 the remaining money to buy soft drinks. Counting both soft drinks and sandwiches, how many items will they buy? Ike 和 Mike 去了一家三明治店，总共要花 30 美元。三明治售价 4.5 美元，软饮料售价 1 美元。Ike 和 Mike 计划买尽可能多的三明治，然后用剩下的钱来买软饮料。算上软饮料和三明治，他们会买多少件东西？

Three identical rectangles are put together to form rectangle ABCD, as shown in the figure below. Given that the length of the shorter side of each of the smaller rectangles is 5 feet,what is the area in square feet of rectangle ABCD? 将三个相同的矩形放在一起，形成矩形ABCD，如下图所示。考虑到每个较小的矩形的短边长度为5英尺，矩形ABCD的平方英尺面积是多少？

Which of the following is the correet onder of the fractions 15/11,19/15,and 17/13.from least to greatest? 把三个分数从小到大排序，下面哪一个是分数的正确顺序？

Quadrilateral ABCD Is a rhombas with perimeter 52 meters. The kength of diagonal TC is 24 meters.What is the area in square meters of rhombus ABCD? 四边形ABCD是一个周长为52米的菱形。对角线AC的长度是24米，那么菱形的面积是多少？

A tortoise challenges a hare to a race.The hare cagerly 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 steuly pace for the entire race.The hare awakes and runs to the finish line,only to find the tortoise alrealy there.Which of the following graphs matehes the description of the race,showing the distance d traveled by the two animals over time t from start to finish? 乌龟挑战野兔参加比赛。野兔急切地同意了，并迅速跑了出去，把行动缓慢的乌龟甩在了 后面。因为相信自己会赢，兔子停下来打盹，同时，乌龟在整个比赛中步伐缓慢行走。野兔 醒来后跑到终点线，却发现乌龟已经在那里了。下面哪张图表与比赛的描述相符，显示了这 两只动物从开始到结束所走的距离？

There are 81 grid points (uniformly spaced) in the square shown in the diagram below, including the points on the edges.Point P is in the center of the square. Given that point Q is randomly chosen among the other 80 points, what is the probability that the line PQ is a line of symmetry for the square? 下图所示的正方形中有 81 个网格点（均匀间隔），图上的点 P 在正方形的中心。假设有一 个点 Q，是在其他 80 个点中随机选择出的，那么直线 PQ 是正方形的的一条对称线的概率是多少？

.Shauna takes five tests, each worth a maximum of 100 points. Her scores on the first three tests are 76, 94, and 87.In order to average 81 for all five tests, what is the lowest score she could earn on one of the other two tests? Shauna参加了五次测试，每次测试最多可得100分。她在前三次考试中的成绩分别是76、94和87分。为了所有五次测试的平均81分，她在另外两次考试中的其中一次最低分数是多少？

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有一袋弹珠。她把其中的20％给了她的朋友Pedro。然后Gilda把剩下的10％给了另一个朋友，Ebony。最后，吉尔达把包里剩下的25％给了她的弟弟Jimmy。吉尔达在她原来的弹珠袋中，留给自己的部分占百分之几？

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 one of Alex's cans to the volume one of Felicia's cans? Alex和Felicia都有猫作为宠物。Alex买的猫粮是装在是直径6厘米、高12厘米的圆柱形罐头里，Felicia买的猫粮罐是装在直径12厘米、高6厘米的圆柱形罐头里。Alex的一罐猫粮的体积和Felicia的一罐猫粮的体积之比是多少？

The diagram shows the number of students at soccer practice each weekday during last week. After computing the mean and median values, Coach discovers that there were actually 21 participants on Wednesday. Which of the following statements describes the change in the mean and median after the correction is made? 该图显示了上周每个工作日参加足球训练的学生人数，在计算平均值和中位数，教练发现周三实际上有21名参与者。以下哪些陈述描述了进行校正后的平均值和中位数的变化量？

The eighth grade class at Lincoln Middle School has 93 students. Each student takes a math class or a foreign language class or both. There are 70 eighth graders taking a math class, and there are 54 eight graders taking a foreign language class.How many eighth graders take "only” a math class and "not” a foreign language class? 林肯中学的八年级班级有93名学生。每个学生都要上一门数学课或一门外语类或两者都上。有70名八年级学生上数学课，还有54名八年级学生上外语课。那么有多少八年级学生“只”上数学课和“不”上外语课？

The faces of a cube are painted in six different colors: red (R), white (W), green (G), brown (B), aqua (A),and purple (P).Three views of the cube are shown below. What is the color of the face opposite the aqua face? 一个立方体的表面被涂成六种不同的颜色：红色（R）、白色（W）、绿色（G）、棕色（B）、青色（A）和紫色（P）。该立方体的三个视图如下图所示。青色的相对面是什么颜色的？

"palindrome” is a number that has the same value when read from left to right or from right to left.(For example 12321 is a palindrome.)Let N be the least three-digit integer which is not a palindrome but which is the sum of three distinct two-digit palindromes. What is the sum of the digits of N? “回文数”是指从左到右或从右到左读取时具有相同值的数字。（例如：12321是一个回文数。）设N是一个尽量小的的三位数，它不是一个回文，而是三个不同的两位数回文的和。N的数字之和是多少？

Isabella has 6 coupons that can be redeemed for free ice cream cones at Pete's Sweet Treats. In order to make the coupons last, she decides that she will redeem one every 10 days until she has used them all. She knows that Pete's is closed on Sundays, but as she circles the 6 dates on her calendar, she realizes that no circled date falls on a Sunday. On what day of the week does Isabella redeem her first coupon? Isabella有6张优惠券，可以在pete甜食兑换免费的冰淇淋。她决定每10天兑换一张，直到她都用完。她知道 pete家星期天关门，但当她在日历上的6个日期时，她意识到没有日期是在星期天。.Isabella在周几兑换她的第一张优惠券？

On a beach 50 people are wearing sunglasses and 35 people are wearing caps. Some people are wearing both sunglasses and caps. If one of the people wearing a cap is selected at random, the probability that this person is is also wearing sunglasses is 2/.If instead,someone wearing sunglasses is selected at random, what is the probability that this person is also wearing a cap? 在海滩上，有50人戴着太阳镜，也有35人戴着帽子。有些人同时戴着太阳镜和帽子。如果其中一个戴着帽子的人被随机选中，那么这个人也戴着太阳镜的概率是2／5。如果一个戴着太阳镜的人是随机选择的，那么这个人也戴着帽子的可能性是多少？

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? 小强开着车以每小时30英里的速度行驶15英里。然后又以每小时55英里的速度开多少英里使得整个旅程的平均速度达到每小时50英里？

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