2017年AMC12真题PDF下载-A卷
1.Pablo buys popsicles for his friends. The store sells single popsicles for $1 each, 3-popsicle boxes for $2, and 5-popsicle boxes for $3. What is the greatest number of popsicles that Pablo can buy with $8?
A.8
B.11
C.12
D.13
E.15
2.The sum of two nonzero real numbers is 4 times their product. What is the sum of the reciprocals of the two numbers?
A.1
B.2
C.4
D.8
E.12
3.Ms. Carroll promised that anyone who got all the multiple choice questions right on the upcoming exam would receive an A on the exam.Which one of these statements necessarily follows logically?
A.If Lewis did not receive an A,then he got all of the multiple choice questions wrong.
B.If Lewis did not receive an A,then he got at least one of the multiple choice questions wrong.
C.If Lewis got at least one of the multiple choice questions wrong,then he did not receive an A.
D.If Lewis received an A,then he got all of the multiple choice questions right.
E.If Lewis received an A,then he got at least one of the multiple choice questions right.
4.Jerry and Silvia wanted to go from the southwest corner of a square field to the northeast corner. Jerry walked due east and then due north to reach the goal, but Silvia headed northeast and reached the goal walking in a straight line. Which of the following is closest to how much shorter Silvia's trip was, compared to Jerry's trip?
A.30%
B.40%
C.50%
D.60%
E.70%
5.At a gathering of 30 people, there are 20 people who all know each other and 10 people who know no one. People who know each other hug,and people who do not know each other shake hands. How many handshakes occur?
A.240
B.245
C.290
D.480
E.490
6.Joy has 30 thin rods, one each of every integer length from 1cm through 30cm. She places the rods with lengths 3cm, 7cm, and 15cm on a table. She then wants to choose a fourth rod that she can put with these three to form a quadrilateral with positive area. How many of the remaining rods can she choose as the fourth rod?
A.16
B.17
C.18
D.19
E.20
7.Define a function on the positive integers recursively by f(1)=2,f(n)=f(n-1)+1,if n is even, and f(n)=f(n-2)+2,if n is odd and greater than 1. What is f(2017)?
A.2017
B.2018
C.4034
D.4035
E.4036
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