2017年第33屆美國數(shù)學(xué)競賽試卷（MAA AMC 8）
發(fā)布：2024/9/7 1:0:8
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1．Which of the following values is largest？（ ）
以下哪個(gè)值最大？（ ）組卷：3引用：3難度：0.8 -
2．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？（ ?。?br />在最近的學(xué)生會(huì)主席選舉中，Alicia,Brenda 和 Colby 是候選人。下面的餅狀圖顯示了三名候選人之間的選票分布。如果Brenda收到了36票，那么總共投了多少票？（ ）
組卷：4引用：1難度：0.8 -
3．What is the value of the expression
（ ?。?br />1684的值是（ ）1684組卷：2引用：1難度：0.5 -
4．When 0.000315 is multiplied by 7，928，564 the product is closest to which of the following？（ ?。?br />當(dāng)0.000315 乘以7，928，564 時(shí)，結(jié)果最接近以下哪個(gè)值？（ ?。?/h2>
組卷：3引用：2難度：0.5 -
5．What is the value of the expression
？（ ）1?2?3?4?5?6?7?81+2+3+4+5+6+7+8的值是多少？1?2?3?4?5?6?7?81+2+3+4+5+6+7+8組卷：10引用：2難度：0.5 -
6．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？（ ）
如果一個(gè)三角形的角的度數(shù)之比是3：3：4，那么這個(gè)三角形的最大角的度數(shù)是多少？（ ?。?/h2>組卷：12引用：3難度：0.8 -
7．Let Z be a 6-digit positive integer,such as 247247，whose first three digits are the same as its last three digits taken in the same order.Which of the following numbers must be a factor of Z？（ ）
設(shè)Z是一個(gè)六位正整數(shù)，例如247247，其前三位數(shù)字與按相同順序取的后三位數(shù)字相同。以下哪個(gè)數(shù)字必定是Z的因數(shù)？組卷：1引用：3難度：0.8 -
8．Malcolm wants to visit Isabella after school today and knows the street where she lives but doesn't know her house number.She tells him,“My house number has two digits,and exactly three of the following four statements about it are true.”（1）It is prime.
（2）It is even.
（3）It is divisible by 7.
（4）One of its digits is 9.
This information allows Malcolm to determine Isabella's house number.What is its units digit？（ ）
Malcolm今天放學(xué)后想去拜訪Isabella,他知道她住在哪條街，但不知道她的門牌號碼。她告訴他：“我的門牌號有兩位數(shù)，以下四個(gè)陳述中有三個(gè)是正確的?！?br />（1）它是一個(gè)質(zhì)數(shù)。
（2）它是偶數(shù)。
（3）它可以被7整除。
（4）它的其中一個(gè)數(shù)字是9。
這些信息使Malcolm能夠確定Isabella的門牌號碼。它的個(gè)位數(shù)字是多少？（ ）組卷：3引用：1難度：0.5
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24．Mrs.Sanders has three grandchildren,who call her regularly.One calls her every three days,one calls her every four days,and one calls her every five days.All three called her on December 31，2016.On how many days during the next year did she not receive a phone call from any of her grandchildren？（ ）
Mrs.Sanders有三個(gè)孫子，他們經(jīng)常給她打電話。其中一個(gè)每三天給她打一次，另一個(gè)每四天打一次，還有一個(gè)每五天打一次。他們?nèi)硕荚?016年12月31日給她打了電話。在接下來的一年中，有多少天她沒有接到她任何一個(gè)孫子的電話？（ ）組卷：8引用：2難度：0.5 -
25．In the figure shown,US and UT are line segments each of length 2，and m∠TUS=60°.Arcs TR and SR are each one-sixth of a circle with radius 2.What is the area of the region shown？（ ?。?br />如圖所示，US和UT是長度都為2的線段，且∠TUS=60°。圓弧TR和SR的都是半徑為2的圓的六分之一。這所示區(qū)域的面積是多少？（ ）組卷：6引用：2難度：0.5