87994.com

学习资料共享网 文档搜索专家

学习资料共享网 文档搜索专家

Problem 1

What is the value of

Problem 2

Two of the three sides of a triangle are 20 and 15. Which of the following numbers is not a possible perimeter of the triangle?

Problem 3

Mr. Patrick teaches math to 15 students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was 80. after he graded Payton's test, the class average became 81. What was Payton's score on the test?

Problem 4 The sum of two positive numbers is 5 times their difference. What is the ratio of the larger number to the smaller?

Problem 5

Amelia needs to estimate the quantity , where and are large positive

integers. She rounds each of the integers so that the calculation will be easier to do mentally. In which of these situations will her answer necessarily be greater than the exact value of ?

Problem 6

Two years ago Pete was three times as old as his cousin Claire. Two years before that, Pete was four times as old as Claire. In how many years will the ratio of their ages be ?

Problem 7

Two right circular cylinders have the same volume. The radius of the second cylinder is more than the radius of the first. What is the relationship between the heights of the two cylinders?

Problem 8

The ratio of the length to the width of a rectangle is : . If the rectangle has diagonal of length , then the area may be expressed as for some constant What is ? .

Problem 9

A box contains 2 red marbles, 2 green marbles, and 2 yellow marbles. Carol takes 2 marbles from the box at random; then Claudia takes 2 of the remaining marbles at random; and then Cheryl takes the last 2 marbles. What is the probability that Cheryl gets 2 marbles of the same color?

Problem 10

Integers and with satisfy . What is ?

Problem 11

On a sheet of paper, Isabella draws a circle of radius , a circle of radius , and all possible lines simultaneously tangent to both circles. Isabella notices that she has drawn exactly lines. How many different values of are possible?

Problem 12

The parabolas and intersect the coordinate axes in exactly . What is ?

four points, and these four points are the vertices of a kite of area

Problem 13

A league with 12 teams holds a round-robin tournament, with each team playing every other team exactly once. Games either end with one team victorious or else end in a draw. A team scores 2 points for every game it wins and 1 point for every game it draws. Which of the following is NOT a true statement about the list of 12 scores?

Problem 14

What is the value of

for which

?

Problem 15

What is the minimum number of digits to the right of the decimal point needed to express the fraction as a decimal?

Problem 16

Tetrahedron has . What is the volume of the tetrahedron? and

Problem 17

Eight people are sitting around a circular table, each holding a fair coin. All eight people flip their coins and those who flip heads stand while those who flip tails remain seated. What is the probability that no two adjacent people will stand?

Problem 18

The zeros of the function possible values of ? are integers. What is the sum of the

Problem 19

For some positive integers , there is a quadrilateral side lengths, perimeter , right angles at and , many different values of are possible?

with positive integer , and . How

Problem 20

Isosceles triangles and are not congruent but have the same area and the same perimeter. The sides of have lengths of and , while those of have lengths of and . Which of the following numbers is closest to ?

Problem 21

A circle of radius with equation What is ? passes through both foci of, and exactly four points on, the ellipse . The set of all possible values of is an interval .

Problem 22

For each positive integer n, let consisting solely of the letters more than three and be the number of sequences of length n , with no more than three s in a row and no is divided by 12?

s in a row. What is the remainder when

Problem 23

Let be a square of side length 1. Two points are chosen independently at random on the sides of . The probability that the straight-line distance between the points is at least is is ? , where and are positive integers and . What

Problem 24

Rational numbers interval and are chosen at random among all rational numbers in the where and are integers with is a real number?

that can be written as fractions . What is the probability that

Problem 25

A collection of circles in the upper half-plane, all tangent to the -axis, is constructed in layers as follows. Layer consists of two circles of radii and that are

externally tangent. For , the circles in are ordered according to their points of tangency with the -axis. For every pair of consecutive circles in this order, a new circle is constructed externally tangent to each of the two circles in the pair.

Layer

consists of the

circles constructed in this way. Let

, and

for every circle

denote by

its radius. What is

DIAGRAM NEEDED

赞助商链接

相关文章:

- 2014年美国高中数学竞赛(AMC12)A卷试题_图文
- 2014年
*美国*高中*数学竞赛*(*AMC12*)A卷*试题*_学科竞赛_高中教育_教育专区。2014 年...2014 年*美国*高中*数学竞赛*(*AMC12*)A 卷*试题*文档贡献者 聚仕德 贡献于*2015*-10...

- 2015 AMC 12A 美国数学竞赛 2015年 12A
*2015**AMC*12A*美国数学竞赛**2015*年 12A_学科竞赛_初中教育_教育专区。American ...3 Problem*12*The parabolas and intersect the coordinate axes in exactly ...

- 2011年-AMC10数学竞赛A卷-附中文翻译和答案
- -7- 2011
*AMC*10*美国数学竞赛*A 卷 (A) 11 (B)*12*(C) 13 (D) 14 ...文档贡献者 哈和哈和10 贡献于*2015*-11-10 相关文档推荐 暂无相关推荐文档 ...

- 美国数学竞赛AMC12词汇
*美国数学竞赛AMC12*词汇_英语考试_外语学习_教育专区。AMC12必背词汇 ...*2015*AMC 12A 美国数学竞... 8页 免费 2014-2010年*AMC12试题及*... 192页...

- 2014-2015年度全美数学竞赛_图文
- 双击图片,修改大小即可放大看
*2015**AMC**美国数学竞赛试题及答案*2014 年度全美...*12*、2014000000 最大的除数是它自己,请问它的第 5 大除数是多少? 13、如图,...

- 2000到2012年AMC10美国数学竞赛
- 2000到2012年
*AMC*10*美国数学竞赛*_高三数学_数学_高中...若直 圆锥的直径为 10 且高为*12*,试求直圆柱的...(A) 2011 (B) 2012 (C) 2013 (D)*2015*(E...

- 2011AMC10美国数学竞赛A卷 中文翻译及答案
- 2011
*AMC*10*美国数学竞赛*A卷 中文翻译*及答案*_学科竞赛_高中教育_教育专区。2011*AMC*...在某小学三年级, 四年级及五年级的学生, 每天分别平均跑*12*, 15, 及 10 ...

- 2000到2015年AMC 10美国数学竞赛
- 2000到
*2015*年*AMC*10*美国数学竞赛*_学科竞赛_小学教育_教育专区。美国(国际)大学生数学建模竞赛将于*2015*年2月5日-2月9日举行。美国大学生数学建模竞赛(MCM/ICM),...

- 美国数学竞赛真题及答案
*美国数学竞赛*真题*及答案*_高三数学_数学_高中教育_教育专区。2014 年美国高中数学竞赛(*AMC12*)B 卷*试题及*解答 解答:选 C, 设∠DHG=∠JAG=∠KJE=θ,由 KJ=HG...

- 高中一年级美国数学竞赛试题(简称AMC10)2012年B卷
- 高中一年级
*美国数学竞赛试题*(简称*AMC*10)2012年B卷_...Solution Problem*12*Point B is due east of ...©*2015*Baidu 使用百度前必读 | 文库协议 | 网站...

更多相关标签:

- 2015 AMC美国数学竞赛试题及答案
- 2012美国数学竞赛AMC12-A 试题
- 2004美国中学数学竞赛(AMC12-12年级)(附答案)
- AMC 美国数学竞赛 2001 AMC 10 试题及答案解析
- AMC 美国数学竞赛 2003 AMC 10B 试题及答案解析
- 2012美国数学竞赛AMC12
- 2014年美国高中数学竞赛(AMC12)A卷试题
- 美国数学竞赛amc12
- 2015美国数学竞赛题目
- 2015 美国数学竞赛题目
- 2015 AMC美国数学竞赛试题及答案
- 2014年美国高中数学竞赛(AMC12)A卷试题
- 2015 AMC 12A 美国数学竞赛 2015年 12A
- 赏析六道美国AMC12数学竞赛题
- 2016年AMC12真题及答案