AMC10的真题答案及中文翻译
AMC10的真题及中文翻译
1、One ticket to a show costs $20 at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickets using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?
(A) 2 (B) 5 (C) 10 (D) 15 (E) 20
中文：一张展览票全价为20美元。Susan用优惠券买4张票打七五折。Pam用优惠券买5张票打七折。Pam比Susan多花了多少美元？
2、An aquarium has a rectangular base that measures 100cm by 40cm and has a height of 50cm. It is filled with water to a height of 40cm. A brick with a rectangular base that measures 40cm by 20cm and a height of 10cm is placed in the aquarium. By how many centimeters does that water rise?
(A) 0.5 (B) 1 (C) 1.5 (D) 2 (E)2.5
中文：一个养鱼缸有100cm×40cm的底，高为50cm。它装满水到40cm的高度。把一个底为40cm×20cm，高为10cm的砖块放在这个养鱼缸里。鱼缸里的水上升了多少厘米？
3、The larger of two consecutive odd integers is three times the smaller. What is their sum?
(A) 4 (B) 8 (C) 12 (D) 16 (E) 20
中文：2个连续的奇整数中较大的数是较小的数的3倍。它们的和是多少？
4、A school store sells 7 pencils and 8 notebooks for $4.15. It also sells 5 pencils and 3 notebooks for $1.77. How much do 16 pencils and 10 notebooks cost?
(A) $4.76 (B) $5.84 (C) $6.00 (D) $6.16 (E) $6.32
中文：在一个学校商店花4.15美元可以买到7支铅笔和8个笔记本，花1.77美元可以买到5个铅笔和3个笔记本。问16支铅笔和10个笔记本需要多少钱？
5、At Euclid High School, the number of students taking the AMC10 was 60 in 2002, 66 i
n 2003, 70 in 2004, 76 in 2005, and 78 in 2006, and is 85 in 2007. Between what two consecutive years was there the largest percentage increase?
(A) 2002 and 2003 (B) 2003 and 2004 (C) 2004 and 2005 (D) 2005 and 2006 (E) 2006 and 2007
中文：在Euclid高中，2002年参加AMC10的学生有60人，2003年有66人，2004年有70人，2005年有76人，2006年有78人，2007年有85人。在相邻的哪两年中人数增长的百分率最大？
6、Last year Mr. John Q. Public received an inheritance. He paid 20% in federal taxes on the inheritance, and paid 10% of what he had left in state taxes. He paid a total of $10,500 for both taxes. How many dollars was the inheritance?
(A) 30,000 (B) 32,500 (C) 35,000 (D) 37,500 (E) 40,000
中文：去年Mr. John Q. Public收到了一笔遗产。其中20%用于交联邦税，剩下钱中的10%用于交州税。交这两种税款一共需要10,500美元。问这笔遗产共多少美元？
7、A finite sequence of three-digit integers has the property that the tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term. For example, such a sequence might begin with terms 247,475, and 756 and end with the term 824. Let S be the sum of all the terms in the sequence. What is the largest prime number that always divides S?
(A) 3 (B) 7 (C) 13 (D) 37 (E) 43
中文：考虑有限数列，每项均为三位数，且具有下列性质：每一项十位数字与个位数字分别是下一项的百位数字与十位数字，最后一项的十位数字与个位数字是第一项的百位数字与个位数字。例如，247，475，756，…，824就是一个这样的数列。用S表示这种数列各项的和。下面哪一个数是一定可以整除S的最大质数？
8、How many ordered pairs (m, n) of positive integers, with m > n, have the property that their square differ by 96?
(A) 3 (B) 4 (C) 6 (D) 9 (E)12
中文：有多少个正整数对（m, n）满足m > n且它们的平方差是96？
2010AMC10试题节选
Mary’s top book shelf holds five books with the following widths, in centimeters: 6,1/2,1,2.5 and 10 . What is the average book width, in centimeters?
A.1
B.2
C.3
D.4
width的意思中文翻译E.5
Tyrone had 97 marbles and Eric had 11 marbles. Tyrone then gave some of his marbles to Eric so that Tyrone ended with twice as many marbles as Eric. How many marbles did Tyrone give to Eric?
A.3
B.13
C.18
D.25
E.29
Let N be the smallest number for which Jim’s sequence has 8 numbers. What is the units digit of N?
A.1
B.3
C.5
D.7
E.9
the number obtained from the last two nonzero digits of 90! is equal to n.What is n?
A.12
B.32
C.48
D.52
E.68
Makarla attended two meetings during her 9-hour work day. The first meeting took 45minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings?
A.15
B.20
C.25
D.30
E.35

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