2015 AMC 10A 考题及答案
更新时间:2024-04-10 08:21:01 阅读量: 综合文库 文档下载
- 2015版100元人民币推荐度:
- 相关推荐
http://www.kewo.com
2015 AMC 10A 考题及答案
Problem 1 What is the value of
Problem 2
A box contains a collection of triangular and square tiles. There are tiles in the box, containing edges total. How many square tiles are there in the box?
Problem 3
Ann made a 3-step staircase using 18 toothpicks as shown in the figure. How many toothpicks does she need to add to complete a 5-step staircase?
Problem 4
Pablo, Sofia, and Mia got some candy eggs at a party. Pablo had three times as many eggs as Sofia, and Sofia had twice as many eggs as Mia. Pablo decides to give some of his eggs to Sofia and Mia so that all three
课窝教育 ? 版权所有
- 1 -
http://www.kewo.com
will have the same number of eggs. What fraction of his eggs should Pablo give to Sofia?
Problem 5
Mr. Patrick teaches math to students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was . After he graded Payton's test, the test average became . What was Payton's score on the test?
Problem 6
The sum of two positive numbers is times their difference. What is the ratio of the larger number to the smaller number?
Problem 7
How many terms are there in the arithmetic sequence , ?
Problem 8
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 9
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?
,
,
, . . .,
课窝教育 ? 版权所有
- 2 -
http://www.kewo.com
Problem 10
How many rearrangements of are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either or .
Problem 11
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 12 Points
and
are distinct points on the graph of
?
Problem 13
Claudia has 12 coins, each of which is a 5-cent coin or a 10-cent coin. There are exactly 17 different values that can be obtained as
combinations of one or more of her coins. How many 10-cent coins does Claudia have?
. What is
课窝教育 ? 版权所有
- 3 -
http://www.kewo.com
Problem 14
The diagram below shows the circular face of a clock with radius cm and a circular disk with radius cm externally tangent to the clock face at o'clock. The disk has an arrow painted on it, initially pointing in the upward vertical direction. Let the disk roll clockwise around the clock face. At what point on the clock face will the disk be tangent when the arrow is next pointing in the upward vertical direction?
Problem 15
Consider the set of all fractions
where and are relatively prime
positive integers. How many of these fractions have the property that if both numerator and denominator are increased by , the value of the fraction is increased by ?
Problem 16 If
?
, and
, what is the value of
课窝教育 ? 版权所有
- 4 -
http://www.kewo.com
Problem 17
A line that passes through the origin intersects both the line the line
and
. The three lines create an equilateral triangle.
What is the perimeter of the triangle?
Problem 18
Hexadecimal (base-16) numbers are written using numeric digits through as well as the letters through to represent through . Among the first positive integers, there are whose
hexadecimal representation contains only numeric digits. What is the sum of the digits of ?
Problem 19
The isosceles right triangle has right angle at and area . The rays trisecting intersect at and . What is the area of ?
Problem 20
A rectangle with positive integer side lengths in has area and perimeter . Which of the following numbers cannot equal
?
NOTE: As it originally appeared in the AMC 10, this problem was stated incorrectly and had no answer; it has been modified here to be solvable.
Problem 21
课窝教育 ? 版权所有
- 5 -
正在阅读:
2015 AMC 10A 考题及答案04-10
《百色市中医药产业发展规划》(专家评审初稿)2015010207-04
卫生法03-13
印度为什么无法超越中国03-12
2016-2022年中国静电吸附式高效空气净化器市场调查与投资战略咨06-21
沪教版小学四年级语文下册名言复习04-17
末法时期最伟大的成就者--觉囊46代法王俱德根本上师云登桑布 - 图文11-04
园林景观工程施工合同04-12
Multiskan MK3美国热电全自动酶标仪 - 图文01-06
2017版事业单位人事管理条例全文02-09
- 多层物业服务方案
- (审判实务)习惯法与少数民族地区民间纠纷解决问题(孙 潋)
- 人教版新课标六年级下册语文全册教案
- 词语打卡
- photoshop实习报告
- 钢结构设计原理综合测试2
- 2014年期末练习题
- 高中数学中的逆向思维解题方法探讨
- 名师原创 全国通用2014-2015学年高二寒假作业 政治(一)Word版
- 北航《建筑结构检测鉴定与加固》在线作业三
- XX县卫生监督所工程建设项目可行性研究报告
- 小学四年级观察作文经典评语
- 浅谈110KV变电站电气一次设计-程泉焱(1)
- 安全员考试题库
- 国家电网公司变电运维管理规定(试行)
- 义务教育课程标准稿征求意见提纲
- 教学秘书面试技巧
- 钢结构工程施工组织设计
- 水利工程概论论文
- 09届九年级数学第四次模拟试卷
- 考题
- 答案
- 2015
- AMC
- 10A
- 2014级上大学物理习题B
- 今天(12.26),我们为什么如此怀念伟人毛泽东
- 老党员生活补贴发放及走访慰问的通知
- 2018化学与人类文明答案
- 《语言学纲要》课后思考题答案
- 2006-2011年考研数学三真题及解析
- 2018年黑龙江省龙东地区中考化学试卷(解析版)
- 苏教版最新语文补充习题答案(七下)
- 国家电网公司无人值守变电站运维管理规定
- 2012年逝世人物
- 我国设置政策性银行的理论依据1
- 尔雅艺术美学作业答案
- 张振邦语法1-10讲答案
- 轨道交通车辆段上盖平台与房地产综合开发分析
- 新视野大学英语2读写教程unit6学生演讲
- 敬老院建设项目可行性研究报告 - 图文
- XXX建筑工程质量安全隐患整改回复报告
- 班主任、家长共同架起一座沟通的桥梁
- 卢梭的自然法思想及其价值
- VS2010-MFC编程入门