2015年第31屆美國(guó)數(shù)學(xué)競(jìng)賽試卷（MAA AMC 8）
發(fā)布：2024/9/7 5:0:8
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1．How many square yards of carpet are required to cover a rectangular floor that is 12 feet long and 9 feet wide？（There are 3 feet in a yard.）（ ?。?br />要覆蓋一個(gè)長(zhǎng)12英尺、寬9英尺的矩形地面，需要多少平方碼的地毯？（1碼等于3英尺。）（ ?。?/h2>
組卷：1引用：2難度：0.5 -
2．Point O is the center of the regular octagon ABCDEFGH，and X is the mid-point of side AB.What fraction of the area of the octagon is shaded？（ ?。?br />點(diǎn)O是正八邊形ABCDEFGH的中心，X是邊AB的中點(diǎn)。陰影部分占八邊形面積比為多少？（ ?。?/h2>組卷：3引用：2難度：0.5 -
3．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？（ ?。?br />Jack和Jill要去他們家一英里外的游泳池游泳。他們同時(shí)離家出發(fā)。Jill騎自行車以每小時(shí)10英里的恒定速度到游泳池。Jack以每小時(shí)4英里的恒定速度走到游泳池。Jill比Jack早到達(dá)多少分鐘？（ ?。?/h2>
組卷：4引用：2難度：0.5 -
4．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？（ ?。?br />Centerville中學(xué)的國(guó)際象棋隊(duì)由兩個(gè)男孩和三個(gè)女孩組成。一名攝影師想為當(dāng)?shù)貓?bào)紙拍攝這個(gè)團(tuán)隊(duì)的照片。她決定讓他們坐成一排，兩端各坐一個(gè)男孩，中間是三個(gè)女孩。這樣的排列有多少種可能性？（ ）組卷：10引用：2難度：0.5 -
5．Billy's basketball team scored the following points over the course of the first 11 games of the season：
42，47，53，53，58，58，58，61，64，65，73.
If his team scores 40 in the 12th game,which of the following statistics will show an increase？（ ?。?br />Billy的籃球隊(duì)在賽季的前11場(chǎng)比賽中得到了以下分?jǐn)?shù)：
42，47，53，53，58，58，58，61，64，65，73。
如果他的隊(duì)伍在第12場(chǎng)比賽中得分40，以下哪項(xiàng)統(tǒng)計(jì)數(shù)據(jù)會(huì)顯示增加？（ ?。?/h2>組卷：1引用：1難度：0.5 -
6．In△ABC，AB=BC=29，and AC=42.What is the area of△ABC？（ ?。?br />在△ABC中，AB=BC=29，且AC=42。△ABC的面積是多少？（ ?。?/h2>
組卷：2引用：1難度：0.5 -
7．Each of two boxes contains three chips numbered 1，2，3.A chip is drawn randomly from each box and the numbers on the two chips are multiplied.What is the probability that their product is even？（ ?。?br />兩個(gè)盒子中的每一個(gè)都包含編號(hào)為1，2，3的三個(gè)籌碼。從每個(gè)盒子中隨機(jī)抽取一個(gè)籌碼，然后將兩個(gè)籌碼上的數(shù)字相乘。他們的乘積是偶數(shù)的概率是多少？（ ?。?/h2>
組卷：11引用：2難度：0.5 -
8．What is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 19？（ ?。?br />若一個(gè)三角形的兩邊長(zhǎng)分別為5，19，則大于該三角形的周長(zhǎng)的最小整數(shù)是多少？（ ?。?/h2>
組卷：1引用：2難度：0.8
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24．A baseball league consists of two four-team divisions.Each team plays every other team in its division N games.Each team plays every team in the other division M games with N＞2M and M＞4.Each team plays a 76 game schedule.How many games does a team play within its own division？（ ?。?br />一個(gè)棒球聯(lián)盟由兩個(gè)四隊(duì)分區(qū)組成。每個(gè)隊(duì)伍都會(huì)與其分區(qū)中的其他隊(duì)伍進(jìn)行N場(chǎng)比賽。每個(gè)隊(duì)伍都會(huì)與另一個(gè)分區(qū)中的每個(gè)隊(duì)伍進(jìn)行M場(chǎng)比賽，其中N＞2M且M＞4。每個(gè)隊(duì)伍的比賽日程是76場(chǎng)比賽。一個(gè)隊(duì)伍在自己的分區(qū)內(nèi)進(jìn)行了多少場(chǎng)比賽？（ ?。?/h2>組卷：3引用：2難度：0.5 -
25．One-inch squares are cut from the corners of this 5 inch square.What is the area in square inches of the largest square that can be fitted into the remaining space？（ ）
從一個(gè)5英寸的正方形的四個(gè)角中各切出一個(gè)一英寸的小正方形。剩下的空間中可以放入的最大的正方形的面積是多少平方英寸？（ ?。?/h2>組卷：2引用：1難度：0.5