2016年美国数学竞赛AMC 8

更新时间:2023-05-14 01:47:01 阅读: 评论:0

2016年美国数学竞赛AMC 8
试题(精校重排版)
The problems are copyright ○
c  Mathematical Association of America
1. The longest  professional tennis match lasted a total of 11 hours and 5 minutes. How many minutes was that ?
(A)605 (B)655  (C)665 (D)1005 (E)1105
2. In rectangle ABCD ,6AB =  and  8AD =. Point  M  is the midpoint of AD . What is the area of  AMC ?
(A)12
(B)15  (C)18 (D)20 (E)24
3.Four students take an exam. Three of their scores are70,80and90. If the average of their four scores is70, then what is the remaining score?
(A)40(B)50(C)55(D)60(E)70
4.When Cheenu was a boy he could run 15miles in3hours and30minutes. As an old man he can now walk10miles in4hours. How many minutes longer does it take for him to travel a mile now compared to when he was a boy?
(A)6(B)10(C)15(D)18(E)30
5.The number N is a two-digit number. When N is divided by9, the remainder is1.When N is divided by10, the remainder is3.What is the remainder when N is divided by11?
(A)0(B)2(C)4(D)5(E)7
6. The following bar graph reprents the length (in letters) of the names of 19 people. What is the median length of the names?
(A)3 (B)4  (C)5
(D)6 (E)7
7. Which of the following numbers is not a perfect square?
(A)20161 (B)20172  (C)20183 (D)20194 (E)20205
8. Find the value of the expression 1009896949290864  2.−+−+−++−+−
(A)20 (B)40  (C)50 (D)80 (E)100
9. What is the sum of the distinct prime integer divisors of  2016?
(A)9 (B)12  (C)16 (D)49
(E)63
10. Suppo that  a b * means 3.a b − What is the value of  x  if 2(5)1x **= (A)110 (B)2  (C)103 (D)10 (E)14
个人认错保证书11. Determine how many two-digit numbers satisfy the following property: when the number is added to the number obtained by reversing its digits, the sum is  132.
(A)5 (B)7  (C)9餐饮企业文化
(D)11 (E)12
结婚纪念日的句子12.Jefferson Middle School has the same number of boys and girls.3
4
of the girls and
印尼在哪2
酱油炒饭3
of the boys went
on a field trip. What fraction of the students on the field trip were girls?
(A)1
仓鼠可以吃芒果吗
2
(B)
9
17
(C)
7
13
(D)
2
3
(E)
14
15
13.Two different numbers are randomly lected from the t2,1,0,3,4,5
−−and multiplied together. What is the probability that the product is0?
(A)1
6
(B)
1
5
(C)
1
4
(D)
1
3
(E)
1
炒刀削面的做法2
14.Karl's car us a gallon of gas every35miles, and his gas tank holds14gallons when it is full. One day, Karl started with a full tank of gas, drove350miles, bought8gallons of gas, and continued driving to his destination. When he arrived, his gas tank was half full. How many miles did Karl drive that day?
(A)525(B)560(C)595(D)665(E)735
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