2016年AMC10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.For every dollar Ben spent on bagels, David spent 25 cents less. Ben paid $12.5 more than David. How much did they spend in the bagel store together?
A.$37.5
B.$50
C.$87.5
D.$90
E.$92.5
4. 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
5.A rectangular box has integer side lengths in the ratio 1:3:4. Which of the following could be the volume of the box?
A.48
B.56
C.64
D.96
E.144
6.Ximena lists the whole numbers 1 through 30 once. Emilio copies Ximena's numbers, replacing each occurrence of the digit 2 by the digit 1. Ximena adds her numbers and Emilio adds his numbers. How much larger is Ximena's sum than Emilio's?
A.13
B.26
C.102
D.103
E.110
7.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
8.Trickster Rabbit agrees with Foolish Fox to double Fox's money every time Fox crosses the bridge by Rabbit's house, as long as Fox pays 40 coins in toll to Rabbit after each crossing. The payment is made after the doubling, Fox is excited about his good fortune until he discovers that all his money is gone after crossing the bridge three times. How many coins did Fox have at the beginning?
A.20
B.30
C.35
D.40
E.45
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