2024年GRE考试数学历年题目全扫描
GRE数学历年真题精讲精练2024年版
GRE数学历年真题精讲精练2024年版GRE数学部分是考生们备考过程中需要重点关注的一部分内容。
本篇文章将针对GRE数学的历年真题进行精讲和练习，帮助考生们更好地准备2024年版的GRE数学考试。
一、题型概述GRE数学部分主要包括选择题、填空题和解答题三种题型。
每种题型都有不同的要求和解题方法。
通过研究历年真题，我们可以发现一些题目的共性和特点，以此为依据进行有针对性的备考。
二、选择题解析选择题是GRE数学部分的主要题型之一。
题目形式多样，考察的内容也较为全面。
在解答选择题时，要注意以下几点：1. 阅读题目要仔细：不要只看开头和结尾，要通读整个题目，理解题目的要求和条件。
2. 注意审题：有些题目可能会用一些反常的方式给出条件或要求，考生要耐心读题，理解题意，不要因为理解错误而导致答案错误。
3. 利用排除法：如果对某个题目无法立即确定答案，可以利用排除法逐个排除选项，找出最有可能的答案。
4. 实战练习：通过做大量的选择题，可以提高自己的解题能力和速度，熟悉各类题目，为考试做好准备。
三、填空题解析填空题是GRE数学部分的另一种常见题型。
在填空题解答过程中，需要注意以下几点：1. 找出关键信息：观察题目中的关键信息，理解要求。
2. 列出可能性：根据题目给出的条件和要求，列出可能的数值或值的范围。
3. 使用逻辑推理：根据题目的逻辑关系和条件，运用逻辑推理方法确定填空的值。
4. 培养直觉：多做填空题，培养对数学规律和结论的直觉，提高填空题的准确性和速度。
四、解答题解析解答题是GRE数学部分的较为复杂的题型，需要考生对所学的数学知识有较深入的理解和应用能力。
解答题的解题技巧主要包括以下几点：1. 建立数学模型：将问题转化为数学模型，利用已学的数学知识进行解答。
2. 有效表达：在解答过程中要注重思路的清晰表述，每一步都要有逻辑性和合理性。
3. 大题先做：尽量先解答较为复杂的大题，然后再考虑小题。
4. 注意细节：解答题时要注意细节的处理，不容忽视任何一个关键信息。
GRE数学考试真题与解析
G R E数学考试真题与解析-CAL-FENGHAI-(2020YEAR-YICAI)_JINGBIANGRE数学考试真题与解析GRE数学考试真题与解析的内容小编在下文介绍了一部分，更多GRE数学真题小编还会为大家继续分享，敬请关注。
1. 从1,2,3,4,5,6,7,8,9中选出三个数字组成一个三位数,这个三位数的digits中有两个相同,另一个digit与其它两个都不同,问共有多少个这样的三位数?(A) 72(B) 144(C) 180(D) 216(E) 542. 符合 X^2+Y^2<=100的整数解共有多少对?3. A box contains 100 balls, numbered from 1 to 100. If three balls are selected at random and with replacement from the box,what is the probability that the sum of the three numbers on the balls selected from the box will be odd?(A) 1/4(B) 3/8(C) 1/2(D) 5/8(E) 3/44. Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parrallel to the x-axis. The x-and y-coordinates of P,Q,and Rare to be integers that satisfy the inequalities -4<=x<=5,6<=y<=16,how many different triangles with these properties could be constructed?(A) 110(B) 1100(C) 9900(D) 10000(E) 121005. (0-9) 要组成三位电话号码,第一位不能是0或1,三位数中相邻两位不能为同一数. (e.g. 227 not acceptable, but 272 acceptable),求可以组成多少个这样的电话号码?参考答案：1.解：因为三个数中两个数相同，所以从9个数中取出两个的可能性为，三个数中那个不同的数和可能位置为3个，取出的两个数哪个做不同的数的可能性为两种2.解：本题的意为一个半径为10的圆中的整数对有多少对。
美国gre考试题库及答案解析
美国gre考试题库及答案解析美国GRE考试题库及答案解析1. 题目：在以下句子中，哪个词与“innovation”（创新）意思最为接近？A. TraditionB. PreservationC. RevolutionD. Stagnation答案：C. Revolution解析：此题考查对单词含义的理解。
"Innovation"意味着新事物或方法的引入，通常与改变和进步相关。
选项A "Tradition" 表示传统，B "Preservation" 表示保存，D "Stagnation" 表示停滞，都与创新无关。
而选项C "Revolution" 表示革命，通常与重大变革和创新相关，因此是正确答案。
2. 题目：在一篇关于气候变化的文章中，作者可能会使用哪个词来描述冰川融化的现象？A. AccelerationB. DecelerationC. StabilizationD. Disintegration答案：A. Acceleration解析：此题考查对科学现象的理解和词汇的恰当使用。
冰川融化是一个加速的过程，因为全球变暖导致冰层融化速度加快。
选项B "Deceleration" 表示减速，C "Stabilization" 表示稳定，D "Disintegration" 表示瓦解，都不符合冰川融化的实际情况。
因此，正确答案是A "Acceleration"。
3. 题目：在GRE的数学部分，以下哪个表达式表示的是x的平方？A. x^2B. √xC. x^(1/2)D. x^3答案：A. x^2解析：此题考查基本的数学表达式理解。
x的平方表示为x乘以自身，即x * x，数学上用x^2表示。
选项B √x表示x的平方根，C x^(1/2)也表示x的平方根，D x^3表示x的立方。
考前必看的新GRE有代表性的数学题
大蚂蚱美国留学社区-我们战斗在美国！1.y=2x2+7x – 3 x y2. The figure above shows the graph of a function f, defined by f(x)=|2x|+4 for all numbers x. For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f ? A g(x)x–2 B g(x)x3 C g(x)2x – 2 D g(x)2x3 E g(x)3x – 2 3.Each employee of a certain company is in either Department X or Department Y, and there are more than twice as many employees in Department X as in Department Y. The average (arithmetic mean) salary is $25,000 for the employees in Department X and is $35,000 for the employees in Department Y. Which of the following amounts could be the average salary for all of the employees in the company? Indicate all such amounts. A $26,000 B $28,000 C $29,000 D $30,000 E $31,000 F $32,000 G $34,000 4.Working alone at its constant rate, machine A produces k car parts in 10 minutes. Working alone at its constant rate, machine B produces k car parts 大蚂蚱美国留学社区-我们战斗在美国！in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to produce k car parts? ____________minutes5. 1)If the dollar amount of sales at Store P was $800,000 for 2006, what was the dollar amount of sales at that store for 2008 ? A $727,200 B $792,000 C $800,000 D $880,000 E $968,000 2)At Store T, the dollar amount of sales for 2007 was what percent of the dollar amount of sales for 2008 ? Give your answer to the nearest 0.1 percent. ___________% 3)Which of the following statements must be true? Indicate all such statements. A For 2008 the dollar amount of sales at Store R was greater than that at each of the other four stores. B The dollar amount of sales at Store S for 2008 was 22 percent less than that for 2006. C The dollar amount of sales at Store R for 2008 was more than 17 percent greater than that for 2006. 6.A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy? A9 B 10 C 11 D 12 E 20 7.A list of numbers has a mean of 8 and a standard deviation of 2.5. If x is a number in the list that is 2 standard deviations above the mean, what is the value of x ? x=______ 大蚂蚱美国留学社区-我们战斗在美国！8.Frequency Distribution for List X Number 1 2 3 5 Frequency 10 20 18 12 Frequency Distribution for List Y Number 6 7 8 9 Frequency 24 17 10 9 List X and list Y each contain 60 numbers. Frequency distributions for each list are given above. The average (arithmetic mean) of the numbers in list X is 2.7, and the average of the numbers in list Y is 7.1. List Z contains 120 numbers: the 60 numbers in list X and the 60 numbers in list Y. Quantity A Quantity B The average of the 120numbers in list Z The median of the 120 numbers in list Z 9.The figure above shows the graph of the function f in the xy-plane. What is the value of f ( f (–1)) ? A –2 B –1 C0 D1 E2 10.By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution? A 10% B 13% C 15% D 19% E 26% 11.Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer? A 0.5 B 0.6 C 0.7 D 0.8 E 0.9 12.Line k lies in the xy-plane. The x-intercept of line k is –4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k ? Give your answer as a fraction._______ 大蚂蚱美国留学社区-我们战斗在美国！13. In the course of an experiment, 95 measurements were recorded, and all of the measurements were integers. The 95 measurements were then grouped into 7 measurement intervals. The graph above shows the frequency distribution of the 95 measurements by measurement interval. Quantity A Quantity B The average (arithmetic The median of the 95 mean) of the 95 measurements Measurements 14.The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively. Quantity A Quantity B th 750 The value at the 75 percentile of the distribution of X 15.If 1+x+x2+x3=60, then the average (arithmetic mean) of x, x2, x3, and x4 is equal to which of the following? A 12x B 15x C 20x D 30x E 60x 大蚂蚱美国留学社区-我们战斗在美国！16. Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2, 4) and the coordinates of point Q are (8, 6). What are the coordinates of point R ? A (3, 2) B (3, 3) C (4, 4) D (5, 2) E (6, 2) 17.Let S be the set of all positive integers n such that n2 is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S ? Indicate all such integers. A 12 B 24 C 36 D 72 18.The range of the heights of the female students in a certain class is 13.2 inches, and the range of the heights of the male students in the class is 15.4inches. Which of the following statements individually provide(s) sufficient additional information to determine the range of the heights of all the students in the class? Indicate all such statements. A The tallest male student in the class is 5.8 inches taller than the tallest female student in the class. B The median height of the male students in the class is 1.1 inches greater than the median height of the female students in the class. C The average (arithmetic mean) height of the male students in the class is 4.6 inches greater than the average height of the female students in the class. 19.A random variable Y is normally distributed with a mean of 200 and a standard 大蚂蚱美国留学社区-我们战斗在美国！deviation of 10. Quantity A Quantity B The probability of the event 1/6 that the value of Y is greater than 220 20.In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken both algebra and chemistry?__________students 21.The total amount that Mary paid for a book was equal to the price of the book plus a sales tax that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true? Indicate all such statements. A The price of the book was less than $9.50. B The price of the book was greater than $6.90. C The sales tax was less than $0.45.22.Which of the following statements individually provide(s) sufficient additional information to determine the area of triangle ABC above? Indicate all such statements. A DBC is an equilateral triangle. B ABD is an isosceles triangle. C The length of BC is equal to the length of AD. D The length of BC is 10. E The length of AD is 10 23.The fabric needed to make 3 curtains sells for $8.00 per yard and can be purchased only by the full yard. If the length of fabric required for each curtain is 1.6 yards and all of the fabric is purchased as a single length, what is the total cost of the fabric that needs to be purchased for the 3 curtains? A $40.00 B $38.40 C $24.00 D $16.00 E $12.80 24.The fabric needed to make 3 curtains sells for $8.00 per yard and can be 大蚂蚱美国留学社区-我们战斗在美国！purchased only by the full yard. If the length of fabric required for each curtain is 1.6 yards and all of the fabric is purchased as a single length, what is the total cost of the fabric that needs to be purchased for the 3 curtains? A $40.00 B $38.40 C $24.00 D $16.00 E $12.80 25.In the xy-plane, the point with coordinates (–6, –7) is the center of circle C. The point with coordinates (–6, 5) lies inside C, and the point with coordinates (8, –7) lies outside C. If m is the radius of C and m is an integer, what is the value of m ? m =_____ 26.What is the least positive integer that is not a factor of 25! and is not a prime number? A 26 B 28 C 36 D 56 E 58 27If 1 is expressed as a terminating decimal, how many nonzero digits 1/[(211)(517)] will the decimal have? A One B Two C Four D Six E Eleven 28.Eight hundred insects were weighed, and the resulting measurements, in milligrams, are summarized in the boxplot below. (a) What are the range, the three quartiles, and the interquartile range of the measurements? (b) If the 80th percentile of the measurements is 130 milligrams, about how many measurements are between 126 milligrams and 130 milligrams? 大蚂蚱美国留学社区-我们战斗在美国！29.The figure shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. Suppose the heights of a population of 3,000 adult penguins are approximately normally distributed with a mean of 65 centimeters and a standard deviation of 5 centimeters. (a) Approximately how many of the adult penguins are between 65 centimeters and 75 centimeters tall? (b) If an adult penguin is chosen at random from the population, approximately what is the probability that the penguin’s height will be less than 60 centimeters? Give your answer to the nearest 0.05 机经题： 8月 5选1 1. 3 个数的平均数是 30，把这 3 个数翻倍之后也加在这个 list 中。
gre考试数学考试题及答案
gre考试数学考试题及答案1.The number of different prime factors of 48The number of different prime factors of 72答案：C2.The number of different positive divisors of 12The number of different positive divisors of 50答案：C3.The number that is as much greater than 63 as it is less than 10184答案：B4. A K-number is a positive integer with the special property that 3 times its units' digit is equal to 2 times its tens' digit.The number of K-numbers between 10 and 993答案：C5.Of the following which is greatest?A.1/2B.7/15C.49/100D.126/250E.1999/4000答案：D6.If n=pqr, where p,q, and r are three different positive prime numbers, how many different positive divisors does n have, including 1 and n?B.5C.6D.7E.8答案：E7.A decrease of 1 in which of the factors above would result in the greatest decrease in the product?A.11B.13C.17D.19E.23答案：A8.Which of the following numbers is not the sum of three consecutive odd integers?A.15B.75C.123D.297E.313答案：E9.A dresser drawer contains 15 garments. If 40 percent of those garments are blouses, how many are not blouses?A.6C.9D.10E.12答案：C10.If a certain company purchased its computer terminals for a total of $540,400 and each of the terminals was purchased for $350, how many terminals did the company purchase?A.1,624B.1,544C.1,434D.1,384E.1,264答案：B。
2024年高考数学概率统计历年题目全扫描
2024年高考数学概率统计历年题目全扫描2024年的高考即将来临，数学科目一直是考生们的重点和难点之一。
其中，概率统计作为数学的一个重要分支，对于数学成绩的提高具有重要意义。
为了帮助同学们更好地备考，本文将对近十年的高考数学概率统计部分的历年题目进行全面扫描，帮助大家更好地了解题型和复习重点。
第一部分：选择题分析选择题是高考数学概率统计部分的常见题型之一，也是考生们最易把握的题型。
下面我们结合历年的选择题，来总结概率统计选择题的特点和解题技巧。
1. 下列哪个事件是必然事件？A. 投掷一枚硬币出现正面B. 从一副扑克牌中随机抽取一张牌是红桃C. 投掷一个均匀骰子出现的点数是7D. 从26个大写英文字母中任意选择一个字母是元音字母解析：根据概率的定义，必然事件是指事件发生的概率为1的事件。
在选项中，只有A选项“投掷一枚硬币出现正面”，硬币只有正反两面，因此出现正面的概率为1，故A是正确选项。
2. 一枚硬币连续翻两次，出现正面的次数为k，那么k的取值范围是：A. k≥0B. 0≤k≤1C. k≥1D. 1≤k≤2解析：一枚硬币连续翻两次，每次的结果都是正面或反面，根据排列组合的知识可知，共有2^2=4种可能的结果：正正、正反、反正、反反。
而题目要求的是出现正面的次数，所以k的取值范围是1≤k≤2，故选项D是正确选项。
通过以上两道选择题的解析，我们可以看出，在解决概率统计选择题时，关键在于理解并掌握概率的基本概念和计算方法，同时也要善于利用排列组合的知识。
在复习过程中，可以多做相关的选择题练习，加深对知识点的理解和应用能力。
第二部分：填空题分析填空题在概率统计部分同样占据一定比例，它要求考生能够熟练地应用概率和统计的相关公式和计算方法。
下面我们通过历年的填空题，总结填空题的解题技巧。
1. 一枚硬币连续抛掷，已知前两次抛掷的结果是正反，那么下一次抛掷出正面的概率是____。
解析：一枚硬币连续抛掷，每次结果独立，所以每次抛掷出正面的概率都是1/2，即0.5。
GRE考试题目及解析
GRE考试题目及解析GRE考试题目及解析1、2解：不确定2、X~3 * y = 10 ~6 (y 1)，问X 与10~2比大小解：x=10~2/y~1/3y1则y~1/31 所以还是10~2大选B3、数列：a1=3，a2=6，a(n)= a(n-1)/a(n-2)，问：a(150)=?解：3，6，2，1/3，1/6，1/2，3，6，(每6次一个循环，答案应当是1/2吧)另一版本：前人几经有误，我的是：a1=2，a2=6，an=a(n-1)/a(n-2)，求a1502，6，3，1/2，1/6，1/3 ，2，6，3，…所以我的答案是1/3(大家看清晰A1的值，自己推断吧)4、125w+25x+5y+z=264，x，y，z，w，are nonnegative integrate，and no more than 5，what is w+x+y+z?解：用短除法把256写成五进制就是2024，则得到x+y+z+w=2+0+2+4=85、a * x平方+B*X+k=0(a和b已知，k未知)，给出一个X的.值，问另一个。
简洁，解出K后，再解出X26、a，b，c，-5，-10的平均数和a，b，c，5，10的平均数之差是多少?解：在考场遇到时看清晰谁在前。
答案是-6 ，或许是6。
7、F(X)=2的2X-1方，求F(3+X)F(3-X)解：2的10次方8、-7解：当X= -7 ，Y= 0 时最大，49。
9、有个公式很重要。
求M到N之间是Q的倍数的数有多少个?公式是：[(该范围内Q的最大倍数-该范围内Q的最小倍数)/Q ] +1今日我遇到两个这样的题，多亏有这个公式，要不然就费劲了10、一个数，被9整除得x1+x2+x3，被12整除得x2+x3，则这个数至少为?能被x1整除?答案：369(x1+x2+x3)=12(x2+x3) x1=3(x2+x3)……、、11、数列a1，a2，、、、a10、除了第一项外的各项都是其前一项的1/2。
gre考试题及答案
gre考试题及答案GRE考试题及答案1. 阅读理解题在下列段落中，作者主要讨论了什么？A. 环境问题的全球性影响B. 科技发展对教育的影响C. 经济全球化对文化多样性的冲击D. 社会变迁对个人身份的影响答案：C2. 词汇题填空：The professor's lecture was so ______ that it put the entire class to sleep.A. monotonousB. engagingC. stimulatingD. profound答案：A3. 数学题如果一个圆的半径是5厘米，那么它的面积是多少平方厘米？A. 78.5B. 157C. 25πD. 100π答案：D4. 反义词题找出“elaborate”的反义词。
A. vagueB. complexC. simpleD. detailed答案：A5. 逻辑推理题所有参加GRE考试的学生都需要通过英语水平测试。
如果一个学生没有通过英语水平测试，那么他/她就不能参加GRE考试。
根据上述信息，以下哪项陈述是正确的？A. 所有通过英语水平测试的学生都能参加GRE考试。
B. 没有通过英语水平测试的学生都不能参加GRE考试。
C. 只有通过英语水平测试的学生才能参加GRE考试。
D. 所有GRE考试的学生都必须参加英语水平测试。
答案：C6. 句子等价题Which of the following is equivalent to the statement "Notall students who study hard pass the exam"?A. All students who study hard pass the exam.B. Some students who study hard pass the exam.C. No students who study hard pass the exam.D. Some students who study hard do not pass the exam.答案：D7. 写作题请以“科技对现代教育的影响”为题，写一篇不少于300字的短文。
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2024年GRE考试数学历年题目全扫描
2024年GRE考试数学题目全扫描
2024年的GRE考试即将到来，对于准备参加考试的同学们来说，
熟悉历年的数学题目是非常重要的。
本文将为大家带来2024年GRE
考试数学部分历年题目的详细分析与解答，帮助大家更好地准备考试。
第一部分：代数与函数
题目一：
已知函数f(x)满足f(x+3)=f(x)+9，且f(1)=7，求f(10)的值。
解析：
根据题目条件，我们可以通过逐步迭代来求解。
首先计算f(4) =
f(1+3) = f(1) + 9 = 7 + 9 = 16。
接着计算f(7) = f(4+3) = f(4) + 9 = 16 + 9 = 25。
最后计算f(10) = f(7+3) = f(7) + 9 = 25 + 9 = 34。
因此，f(10)的值为34。
题目二：
已知函数f(x)满足f(2x) = 4f(x) - 1，且f(1) = 2，求f(8)的值。
解析：
我们可以通过逐步迭代来解题。
首先计算f(2) = 4f(1) - 1 = 4*2 - 1 = 7。
接下来计算f(4) = 4f(2) - 1 = 4*7 - 1 = 27。
最后计算f(8) = 4f(4) - 1 = 4*27 - 1 = 107。
因此，f(8)的值为107。
第二部分：几何与概率
题目三：
在平面直角坐标系中，直线L1过点A(2, 5)且斜率为3，直线L2过
点B(4, -1)且垂直于直线L1，求直线L2的方程。
解析：
由直线L1的斜率3可知，直线L2的斜率为-1/3（直线L1和L2互
为垂直的关系）。
通过点斜式得到直线L2的方程为y - (-1) = -1/3(x - 4)。
化简可得，y = -1/3x + 5/3。
题目四：
设随机变量X服从正态分布N(3, 1)，求P(X > 4)的值。
解析：
根据正态分布性质，需要计算X > 4的概率。
首先计算标准化得分
z = (4 - 3) / 1 = 1。
然后查找标准正态分布表得知P(Z > 1) ≈ 0.1587。
因此，P(X > 4)的值约为0.1587。
第三部分：数据分析与统计
题目五：
某公司进行了一次市场调查，调查对象为1000人，调查结果显示，有700人表示会购买该公司的产品。
以95%的置信水平计算该公司产
品购买比例的置信区间。
解析：
根据样本比例的置信区间公式，计算置信区间的上下限。
置信水平
为95%，样本容量n为1000，购买产品的人数为700。
计算置信区间的公式为：p ± z * sqrt(p(1 - p) / n)。
其中，z为标准正态分布的分位数，对于95%的置信水平，z ≈ 1.96。
代入数据计算，置信区间为700 / 1000 ± 1.96 * sqrt((700/1000)(1 - 700/1000) / 1000) ≈ 0.7 ± 0.018。
因此，以95%的置信水平计算该公司产品购买比例的置信区间为(0.682, 0.718)。
题目六：
某班级学生的数学测试成绩服从正态分布，均值为80，标准差为6。
如果将成绩低于70的视为不及格，求该班级不及格的学生所占的百分比。
解析：
根据正态分布的性质，我们需要计算成绩小于70的概率。
首先计
算标准化得分z = (70 - 80) / 6 = -1.67。
然后查找标准正态分布表得知
P(Z < -1.67) ≈ 0.047。
因此，该班级不及格的学生所占的百分比约为4.7%。
通过以上对2024年GRE考试数学部分历年题目的全面扫描，我们可以更好地理解和掌握考试中的数学知识点和解题技巧。
希望本文对大家的考试备考有所帮助，祝各位考生取得优异的成绩！。