2017年AMC12真题PDF下载-B卷
1.Kymbrea's comic book collection currently has 30 comic books in it,and she is adding to her collection at the rate of 2 comic books per month. LaShawn's collection currently has 10 comic books in it, and he is adding to his collection at the rate of comic books per month. After how many months will LaShawn's collection have twice as many comic books as Kymbrea's?
A.1
B.4
C.5
D.20
E.25
2.Real numbers x,y,and z satify the inequalities 0<x<1,-1<y<0,and 1<z<2. Which of the following numbers is necessarily positive?
A.y+x2
B.y+xz
C.y+y2
D.y+2y2
E.y+z
3.Supposed that x and y are nonzero real numbers such that 3x+y/x-3y=-2. What is the value of x+3y/3x-y?
A.-3
B.-1
C.1
D.2
E.3
4.Samia set off on her bicycle to visit her friend, traveling at an average speed of 17 kilometers per hour. When she had gone half the distance to her friend's house, a tire went flat, and she walked the rest of the way at 5 kilometers per hour. In all it took her 44 minutes to reach her friend's house. In kilometers rounded to the nearest tenth, how far did Samia walk?
A.2.0
B.2.2
C.2.8
D.3.4
E.4.4
5.The data set [6,19,33,33,39,41,41,43,51,57] has median ,Q2=40,first quartile Q1=33, and third quartile Q3=43. An outlier in a data set is a value that is more than 1.5 times the interquartile range below the first quartile (Q1) or more than 1.5 times the interquartile range above the third quartile (Q3), where the interquartile range is defined as Q3-Q1. How many outliers does this data set have?
A.0
B.1
C.2
D.3
E.4
6.The circle having (0,0)and (8,6)as the endpoints of a diameter intersects the x-axis at a second point. What is the x-coordinate of this point?
A.4√2
B.6
C.5√2
D.8
E.6√2
7.The functions sin(x)and cos(x)are periodic with least period 2π.What is the least period of the function cos(sin(x))?
A.π/2
B.π
C.2π
D.4π
E.It's not periodic.
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