lanxicy.com

第一范文网 文档专家

第一范文网 文档专家

A

1

Square

has side length

. Point

is on

, and the area of

is

. What is

?

2

A softball team played ten games, scoring , and runs. They lost by one run in exactly five games. In each of the other games, they scored twice as many runs as their opponent. How many total runs did their opponents score?

3

A flower bouquet contains pink roses, red roses, pink carnations, and red carnations. One third of the pink flowers are roses, three fourths of the red flowers are carnations, and six tenths of the flowers are pink. What percent of the flowers are carnations?

4 What is the value of

5

Tom, Dorothy, and Sammy went on a vacation and agreed to split the costs evenly. During their trip Tom paid , Dorothy paid , and Sammy paid . In order to share the costs equally, Tom ? gave Sammy dollars, and Dorothy gave Sammy dollars. What is

6

In a recent basketball game, Shenille attempted only three-point shots and two-point shots. She was successful on of her three-point shots and of her two-point shots. Shenille attempted shots. How many points did she score?

7

The sequence sum of the previous two. That is, . What is ?

has the property that every term beginning with the third is the Suppose that and

8

Given that

and

are distinct nonzero real numbers such that

, what is

?

9

In , respectively, such that of parallelogram ?

and and

. Points are parallel to

and are on sides , , and , and , respectively. What is the perimeter

(9th)

（11

th

）

10

Let

be the set of positive integers with and

for which

has the repeating decimal representation ? are on

different digits. What is the sum of the elements of . Points and are on and points ? and

11 Triangle and

is equilateral with and

such that both

are parallel to

. Furthermore, triangle

and trapezoids

all have the same perimeter. What is

12 he angles in a particular triangle are in arithmetic progression, and the side lengths are sum of the possible values of ? 13 Let points equals where , and

. The

are positive integers. What is

and

. Quadrilateral

is cut into

equal area pieces by a line passing through fractions are in lowest terms. What is 14 The sequence , , , , is an arithmetic progression. What is ?

. This line intersects ?

at point

, where these

15 Rabbits Peter and Pauline have three offspring—Flopsie, Mopsie, and Cotton-tail. These five rabbits are to be distributed to four different pet stores so that no store gets both a parent and a child. It is not required that every store gets a rabbit. In how many different ways can this be done? 16 , , are three piles of rocks. The mean weight of the rocks in is is and pounds, the mean weight and is and ? is pounds. What is the

of the rocks in

pounds, the mean weight of the rocks in the combined piles

pounds, and the mean weight of the rocks in the combined piles

greatest possible integer value for the mean in pounds of the rocks in the combined piles 17 A group of

pirates agree to divide a treasure chest of gold coins among themselves as follows. The of the coins that remain in the chest. The number of coins initially

pirate to take a share takes

in the chest is the smallest number for which this arrangement will allow each pirate to receive a

positive whole number of coins. How many coins doe the

pirate receive?

18 Six spheres of radius are positioned so that their centers are at the vertices of a regular hexagon of side length . The six spheres are internally tangent to a larger sphere whose center is the center of the hexagon. An eighth sphere is externally tangent to the six smaller spheres and internally tangent to the larger sphere. What is the radius of this eighth sphere?

19 In and 20 Let

, . Moreover be the set

, and and

. A circle with center

and radius ?

intersects

at points

have integer lengths. What is . For , define

to mean that either have the property that ,

or

. How many ordered triples , and ? 21 Consider following intervals contains

of elements of

. Which of the ?

22 A palindrome is a nonnegatvie integer number that reads the same forwards and backwards when written in base 10 with no leading zeros. A 6-digit palindrome is the probability that is also a palindrome? is chosen uniformly at random. What

23

is a square of side length bounded by is rotated area is , where ,

. Point is on such that . The square region counterclockwise with center , sweeping out a region whose are positive integers and . What is ?

, and

24 Three distinct segments are chosen at random among the segments whose end-points are the vertices of a regular 12-gon. What is the probability that the lengths of these three segments are the three side lengths of a triangle with positive area?

25

Let that most ?

be defined by

. How many complex numbers

are there such

and both the real and the imaginary parts of

are integers with absolute value at

1. E 2. C 3. E 4. C 5. B 6. B 7. C 8. D 9. C 10. D 11. C 12. A 13. B 14. B 15. D 16. E 17. D 18. B 19. D 20. B 21. A 22. E 23. C 24. E 25. A

相关文章:

- 2012年美国数学竞赛试题+中文翻译AMC
- 2012年
*美国数学竞赛试题*+中文翻译*AMC*_教学计划_教学研究_教育专区。2012*年美国数学竞赛试题*+中文翻译*AMC*华数教育 Problem 1 A bug crawls along a number line, sta...

- 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_高一数学_数学_高中教育_教育专区。该试题对有意高中或大学赴美留学的学生有帮助作用,该类考试已成为一些美国...

- 2015 AMC美国数学竞赛试题及答案
- 2015
*AMC美国数学竞赛试题及答案*_初一数学_数学_初中教育_教育专区 暂无评价|0人阅读|0次下载|举报文档2015*AMC美国数学竞赛试题及答案*_初一数学_数学_初中教育_...

- 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*(AMC*12)B 卷试题及解答 解答:选 C, 设∠DHG=∠JAG=∠KJE=θ,由 KJ=HG=...

- 2013年全国初中数学竞赛试题参考答案(word版)
*2013年*全国初中数学竞赛试题参考*答案(*word版)_学科竞赛_初中教育_教育专区。*2013 年*全国初中*数学竞赛试题及参考答案*一、选择题 ?a ? 2b ? 3c ? 0, ab ? bc...

- 2013年全国初中数学竞赛试题及答案
- ,an 中 都至少有一个为 m 的魔术数.
*2013 年*全国初中*数学竞赛试题*参考*答案*一、选择题 1. 【*答案*】A 0 【解答】由已知得 a ? b ? c ?( 2 a ?3 b...

- 2011AMC10美国数学竞赛A卷附中文翻译和答案
- 2011
*AMC*10*美国数学竞赛A*卷附中文翻译和答案_英语学习...某城镇 1991 年的人口数是一个完全平方数;十年后...2014年6月大学英语六级考试*真题及答案*2014年12月大学...

- 美国AMC10数学联赛英文原题
*美国AMC*10*数学*联赛英文原题_学科*竞赛*_初中教育_教育专区。A 2012 Problem 1 ...2012年-*AMC*10-A卷 6页 免费 2009*AMC*10B*试题及答案*... 21页 免费 ...

- 2013年浙江省高中数学竞赛试题
*2013 年*浙江省高中*数学竞赛试题*一、选择题(本大题共有 10 小题,每题只有一个正确*答案*,将正确*答案*的序号填入题干后的*括号*里,多选、不选、错选均不得分,每题 ...

- 2013年七年级上数学竞赛试题(含答案)
*2013年*七年级上*数学竞赛试题(*含*答案)*_初一数学_数学_初中教育_教育专区。*2013 年*东田中学七年级(上*)数学竞赛试题*班级一、填空题(每小题 5 分,共 50 分) 1、...

更多相关标签:

- amc数学竞赛 | amc美国数学竞赛 | amc数学竞赛试题 | amc数学竞赛官网 | amc数学竞赛报名2017 | amc10数学竞赛词汇 | amc12数学竞赛试题 | amc12数学竞赛难吗 |