2016年AMC12真题PDF下载（A卷）
1.What is the value of 11!-10!/9! ?
A.99
B.100
C.110
D.121
E.132
2.For what value X does 10x *1002x=10005?
A.99
B.100
C.110
D.121
E.132
3. The remainder can be defined for all real numbers x and y with y≠0 by rem(x,y)=x-y|x/y| where |x/y| denotes the greatest integer less than or equal to x/y.What is the value of rem(3/8,-2/5)?
A.-3/8
B.-1/40
C.0
D.3/8
E.31/40
4.The mean, median, and mode of the 7 data values 60,100，x,40,50,200,90 are all equal to x. What is the value of x?
A.50
B.60
C.75
D.90
E.100
5.Goldbach's conjecture states that every even integer greater than 2 can be written as the sum of two prime numbers (for example,2016=13+2003). So far, no one has been able to prove that the conjecture is true, and no one has found a counterexample to show that the conjecture is false. What would a counterexample consist of
A.an odd integer greater than 2 that can be written as the sum of two prime numbers
B.an odd integer greater than 2 that cannot be written as the sum of two prime numbers
C.an even integer greater than 2 that can be written as the sum of two numbers that are not prime
D.an even integer greater than 2 that can be written as the sum of two prime numbers
E.an even integer greater than 2 that cannot be written as the sum of two prime numbers
6.A triangular array of 2016 coins has 1 coin in the first row, 2 coins in the second row, 3 coins in the third row, and so on up to N coins in the Nth row. What is the sum of the digits of N
A.6
B.7
C.8
D.9
E.10
7.Which of these describes the graph of x2(x+y+1)=y2(x+y+1)
A.two parallel lines
B.two intersecting lines
C.three lines that all pass through a common point
D.three lines that do not all pass through a common point
E.a line and a parabola
8.What is the area of the shaded region of the given 8*5 rectangle
A.19/4
B.5
C.21/4
D.13/2
E.8
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