2nd AMC102001
1.The median of the list
n,n+3,n+4,n+5,n+6,n+8,n+10,n+12,n+15 is10.What is the mean?
(A)4(B)6(C)7(D)10(E)11
2.A number x is2more than the product of its reciprocal and its additive inver.
In which interval does the number lie?
(A)−4≤x≤−2(B)−2<x≤0(C)0<x≤2
(D)2<x≤4(E)4<x≤6
3.The sum of two numbers is S.Suppo3is added to each number and then
1kb的准确数值是each of the resulting numbers is doubled.What is the sum of thefinal two numbers?
(A)2S+3(B)3S+2(C)3S+6(D)2S+6(E)2S+12
4.What is the maximum number for the possible points of interction of a circle
and a triangle?
(A)2(B)3(C)4(D)5(E)6
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2nd AMC102001
5.How many of the twelve pentominoes pictured below have at least one line of
symmetry?
天气冷了关心的话短语
(A)3(B)4(C)5(D)6(E)7
6.Let P(n)and S(n)denote the product and the sum,respectively,of the digits
公司荣誉证书of the integer n.For example,P(23)=6and S(23)=5.Suppo N is a two-digit number such that N=P(N)+S(N).What is the units digit of N?
(A)2(B)3(C)6(D)8(E)9
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2nd AMC102001
7.When the decimal point of a certain positive decimal number is moved four
places to the right,the new number is four times the reciprocal of the original number.What is the original number?
(A)0.0002(B)0.002(C)0.02(D)0.2(E)2
8.Wanda,Darren,Beatrice,and Chi are tutors in the school math lab.Their
schedule is as follows:Darren works every third school day,Wanda works every fourth school day,Beatrice works every sixth school day,and Chi works every venth school day.Today they are all working in the math lab.In how many school days from today will they next be together tutoring in the lab?
(A)42(B)84(C)126(D)178(E)252
9.The state income tax where Kristin lives is levied at the rate of p%of thefirst
$28000of annual income plus(p+2)%of any amount above$28000.Kristin noticed that the state income tax she paid amounted to(p+0.25)%of her annual income.What was her annual income?
(A)$28000(B)$32000(C)$35000(D)$42000(E)$56000
10.If x,y,and z are positive with xy=24,xz=48,and yz=72,then x+y+z
is
(A)18(B)19(C)20(D)22(E)24
教师资格证考试时间3
2nd AMC 102001
终身禁驾可以申请解除
11.Consider the dark square in an array of unit squares,part of which is shown.
The first ring of squares around this center square contains 8unit squares.The cond ring contains 16unit squares.If we continue this process,the number of unit squares in the 100th ring is
(A)396(B)404(C)800(D)10,000(E)10,404
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.....................................................................................................12.Suppo that n is the product of three concutive integers and that n is
divisible by 7.Which of the following is not necessarily a divisor of n ?
(A)6(B)14(C)21(D)28(E)42
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13.A telephone number has the form ABC-DEF-GHIJ,where each letter repre-
nts a different digit.The digits in each part of the number are in decreasing order;that is,A >B >C,D >E >F,and G >H >I >J.Furthermore,D,E,and F are concutive even digits;G,H,I,and J are concutive odd digits;and A +B +C =9.Find A.
(A)4(B)5(C)6(D)7(E)8
14.A charity lls 140benefit tickets for a total of $2001.Some tickets ll for
full price (a whole dollar amount),and the rest ll for half price.How much money is raid by the full-price tickets?
(A)$782(B)$986(C)$1158(D)$1219(E)$1449
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2nd AMC 102001
15.A street has parallel curbs 40feet apart.A crosswalk bounded by two parallel
喝中药禁忌
stripes cross the street at an angle.The length of the curb between the stripes is 15feet and each stripe is 50feet long.Find the distance,in feet,between the stripes.
(A)9(B)10(C)12(D)15(E)25
16.The mean of three numbers is 10more than the least of the numbers and 15
less than the greatest.The median of the three numbers is 5.What is their sum?
(A)5(B)20(C)25(D)30(E)36
17.Which of the cones below can be formed from a 252◦ctor of a circle of radius
10by aligning the two straight sides?................................................................................................................................................
烤曲奇..............252◦.........................•10(A)..........................................................................................................................................................................................................................................................................................................106••(B).......................................................................................................................................................................................................................................................................................................106••(C). (107)
••(D)........................................................................................................................................................................................................................................................................................................107••(E) (108)
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