2020年第36届美国数学竞赛试卷（MAA AMC 8）
发布：2024/9/7 3:0:8
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1．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正在制作柠檬汽水以在学校筹款活动上出售。他的食谱需要的水是糖的4倍，糖是柠檬汁的两倍。他使用了3杯柠檬汁。他需要多少杯水？（ ）组卷：5引用：1难度：0.8 -
2．Four friends do yardwork for their neighbors over the weekend,earning 15，20，25，and40，respectively.They decide to split their earnings equally among themselves.In total how much will the friend who earned＄40 give to the others？（ ）
四位朋友在周末为邻居做园艺工作，分别赚了15、20、25和40美元。他们决定平均分配他们的收入。那位赚了40美元的朋友将给其他人多少钱？（ ）组卷：8引用：1难度：0.5 -
3．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 perplant.How many strawberries can she expect to harvest？（ ）
Carrie有一个长6英尺、宽8英尺的长方形花园。她在整个花园里种植了草莓植株。Carrie每平方英尺能种植4株草莓植株，而她每株植株平均可收获10颗草莓。她可以期望收获多少草莓？（ ）组卷：3引用：1难度：0.8 -
4．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 hexagon？（ ）
下面显示了三个尺寸逐渐增大的六边形，假设点的图案会继续，以便每个连续的六边形包含更多一圈的点。下一个六边形中有多少个点？（ ）
组卷：6引用：1难度：0.8 -
5．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？（ ）
一只瓶子的四分之三装满了菠萝汁。将瓶子中的菠萝汁平均倒入5个杯子中，每个杯子中倒入相同的量。每个杯子收到了瓶子总容量的百分之多少？（ ）组卷：16引用：1难度：0.5 -
6．Aaron,Darren,Karen,Maren,and Sharon rode on a small train that has five cars that seat one person each.Maren sat in the last car.Aaron sat directly behind Sharon.Darren sat in one of the cars in front of Aaron.At least one person sat between Karen and Darren.Who sat in the middle car？（ ）
在一辆有5节车厢，每节车厢有一个座位的小火车上，Aaron、Darren、Karen、Maren 和 Sharon 坐了下来。Maren坐在最后一节车厢。Aaron坐在Sharon的后面。Darren坐在Aaron前面的一节车厢里。Karen和Darren之间至少坐了一个人。谁坐在中间的车厢？组卷：6引用：1难度：0.5 -
7．How many integers between 2020 and 2400 have four distinct digits ar-ranged in increasing order？（For example,2357 is one such integer.）（ ）
在2020年到2400年之间，有多少个整数的四个不同数字按升序排列？（例如，2357就是这样的一个整数。）（ ）组卷：4引用：1难度：0.5 -
8．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 possible amounts of money that Ricardo can have？（ ）
Ricardo有2020枚硬币，其中一部分是便士（1分硬币），其余的是五分币（5分硬币）。他至少有一枚便士和一枚五分币。Ricardo可能拥有的最大金额和最小金额之间相差多少分？（ ）组卷：1引用：1难度：0.5
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24．A large square region is paved with n2 gray square tiles,each measuring sinches 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 for this larger value of n？（ ）ds
一个大的正方形区域用n2个灰色的正方形瓷砖铺设，每块瓷砖的边长为s英寸。每块瓷砖周围有d英寸宽的边框。下图显示了n=3的情况。当n=24时，576块灰色瓷砖覆盖了大正方形区域的64%。对于这个较大的n值，比率是多少？（ ）ds组卷：18引用：1难度：0.5 -
25．Rectangles R1 and R2，and squares S1，S2 and S3 shown below,combine to form a rectangle that is 3322 units wide and 2020 units high.What is the side length of S2ㅤin units？（ ）
如下图所示，矩形R1和R2以及正方形S1、S2和S3组合成一个宽3322单位、高2020单位的矩形。S2的边长是多少单位？（ ）
组卷：10引用：1难度：0.5
