tpo小站gre机经4月份

1、GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库小 站 机 经Copyright © 2015 by GRE精确数学机经 150407 发布适用 2015 年 04 月考试2011 年 8 月 1 日， ETS 在全球范围对 GRE 考试进行在题型、考试方式、计分、每年参加考试次数等 5 方面的 后的 GRE 考试称为新GRE。GRE 机经对自 2011 年以来的题库进行了整理校对，由于 GRE 考试没有明显的重复规律，同时 GRE 考试方面的参考资料相对较少，考试难度相对较大，所经既是 资料更是很参考资料，希望考生认真准备。小站教育 YOUNG , 以十年磨一剑的功力

2、, 专注研究新 GRE 考试, 长期跟踪 GRE 考试情况，现隆重推出小站 GRE 机经，根据 GRE 考试内容，机经共分为四个版本：GRE 等价机经、GRE 填空机经、GRE 逻辑机经、GRE 阅读机经、GRE 数学机经、GRE 写作机经。GRE 数学机经大量收集整理考生们的考场回忆，然后按重要程度排序，题目请同学们 性使用，欢迎大家指出错误和不足指出。GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库小站教育 GRE 数学机经 盗版 1. 能被九整除的数，其各位和也能被九整除，若由 ，与 除九 一致A/9=X.yu B/9=Y.yu (A-B)=X-Y不同解法，设 a,b ,c

3、 ,d ,e 为小于 10 的正整数，则题中所说五位数与其反数可表示为aX10000+bX1000+cX100+dX10+e 与 eX10000+dX1000+cX100+bX10+a,相减得 9999a+990b-990d-9999e,不用说就看出来一定可以被 9 整除了吧2. 55%的 brown hair，同群人中，80不是red hair，问the fraction of those who do not have brown hair have red hair?是 4/9没brown hair 是 15545 有red hair 是 18020 所以 是 20%/45% = 4/9

4、3. acertain money market that had a balance of $48000 during all of last month earned $360 in interest for the month.at what simple annual interst rate did the earn interest last month? 是 9$48000 的月利息是$360, 问年利率360*12/48000 = 9%4. 小于等于 16，有时二倍的有 16，14，12，10都不复合条件那个数是 18 了，当然大于 165. 意思是问如果 combined a

5、ge 是指某一组中所有人之和，那么哪一个最大，就这道题来说就是 乘以该 人数谁最大了。很恶心的题，我做得时候起码读了五遍题 白。combined=age*population 60*1.2=726. 是问在 100 年中女性 1980 年多于 1986 年的的比例，也就是看阴影部分在实线之外的大概是多少比例，差不多 25吧我也刚明白，是这样，大约 8-23，和 50-60 这 25 个段上 1980 的女性人口高于 1986， 所以在 0-100 段中大约有 25%的段中 80 年女性人口数多于 86 年7. 直线 y=ax+b,在有相同的X、Y-intercept(截距)，问直线的斜率与-1

6、 的大小相比哪个大。直线 y=ax+b,在有相同的X、Y-intercept(截距)，问直线的斜率与-1 的大小相比哪个大。Let's get X-intercept first, According to the question, 0=ax+b b=-ax x=-b/aGRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库Let's get Y-intercept second, According to the question, y=bBecause 有相同的X、Y-intercept(截距) then -b/a = b a = -1, 直线的斜率与-1 的大小

7、相等8. 500 代表中有 200 是，那么就有 300 人是，有 270 人是非素食者， 也就是说有 300-270=30 人是素食者，素食者总共有 100 人，另外 70 人就是人了9. If one number is chosen at random from the first 1,000 positive integers ,what is the probablity that the number chosen is a multiple of both 2 and 8?：1/8 1000/8）/1000其中 1000/8 是 1000 以内的能被 2 和 8 整除的个数，8

8、是 2 和 8 的功倍数10. 医生建议每人每天水 量是 1/2（盎司/磅体重）-注意这里是总体重再加上（体重-标重体重）X8/25，如果医生给一个体重为 240 磅的人建议的水摄入量是 136 盎司，那么这个人比理想体重重了多少？列个一元一次方程就可以解出来了240X1/2+8/25=13611. x?y=x/3-1/y2A 1/6?2/3 B 2/3?1/6 ？是指一种未知的运算A : x=1/6, y=2/3 ->x?y=1/18-1/(4/3) = 1/18-3/4 = -25/36 B : x=2/3, y=1/6 -> x?y=2/9 - 1/(1/3) = 2/9 -

9、 3 = -25/9所以，A>B12. 标准差越接近 0 跟均值的偏差就越小题是说下面哪个以标准差来衡量其分值范围最接近均数，标准差和算法是每个样本值与均 数之差的平方和除以样本数再开方得到的，所以其值越小样本值波动范围越小，比如所有 样本值都相等，标准差就等于零，明白了这些我就不用说了吧，选个标准差最小的一项就 是了13. 四位数，首位为奇数，末位为偶数，多少个这样的四位数？ 首位取 13579 中的一个，末尾取 24680 中的一个中间两位各有 10 种可能，所以有 5*10*10*5=250014.根号下 79*80*81*82 与 6400 比,哪个大? :前者大6400 的于

10、80 的二次方。79*80*81*82=(80-1)*80*(80+1)(80+2)=80*(80+1)(80*80+80-2) 这个显然大于 80 的四次方。GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库there are 7 possibilities for the begin of month X, from monday to sunday, then the fourth tuseday of this month also has 7 possible dates.15. 就是 1 号是周三至周二 30 天 第四个周二都会出现 所以就 7 种16. W,X,Y,Z

11、 皆为整数1<w<x<y<z WXYZ=210比较W+Z 和 10 的大小:10 大210=2×3×5×7 && 1<w<x<y<zso w=2 & z=7 w+z=9<10Sara:这道题是这样做的，实际上 210=2*3*5*7，所以 w=2;x=3;y=5;z=7;所以 w+z=9<10;就这么简单，Est 这道题容易把人的思路影响歧途，其实很简单。17. 不用算吧，两个 COLUMN 是等价的，七个一圆钱账单三个人分，怎么分一个人要不小于三个，不是吗？分法当然是相同了18.

12、 100,210*90,021 与 100,021*90,210 比大小咋看？100210*90021=100000*90000+210*21 *21 *210100021*90210=100000*90000+210*21 *210 *21就是比较后两项的大小两边同时减去 90000*210*210前一个数是 x*21后一个数是 x*210后一个数大19. 13%提供 compressed workweek,9%提供 work at home，所以两者都提供的最多 9%， 9%X300=27300*18%=300*35%*（1/5）+300*（1/10）*40%+300*25%*？ 就是 1

13、8=35/5+40/10+25/？20. 要结合两张表，列下来是这样：35%X（1/5）+40%X（1/10）+25%X#=18%算下来#=7/251.y=2x2+7x 3xy本体 不确定。我开始做的时候被题目放了烟雾弹，以为要经过什么特别处理，像配方啥的。但配着配着就感觉不对劲，x 与 y 只有函数，没有绝对的大小 嘛。汗GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库21.The figure above shows the graph of a function f, defined by f(x)=|2x|+4 for all numbers x. For which o

14、f the following functions g defined for all numbers x does the graph of g intersect the graph of f ?A g(x)=x2 B g(x)=x+3C g(x)=2x 2 D g(x)=2x+3 E g(x)=3x 2这个题就是问两个函数图象相交的问题，根据观察，要与这个折线相交的直线的斜率满足的条件是要么是正斜率比 2 大，要么是负斜率比-2 小，因此只能选 E 了。22. Each employee of a certain company is in either Department X or

15、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

16、the employees in the company?Indicate all such amounts. A $26,000B $28,000 C $29,000 D $30,000 E $31,000 F $32,000 G $34,000本题我们要注意到题目中的 more than twice 的字眼，我们当做 twice 算的时候，结果是（25000*2 ）/3 约等于 28333，因为有 more than，所以选的要么是比前面这个数大，要么小，又由于 more 的是 X 部门的，那么肯定会将平均工资给拉低了，因此，选比前GRE 在线一对一课程 小站教育GRE 机经专区GRE 资

17、料库面那个数小的 ，AB 都可以了。23. 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 in 15 minutes. How many minutes does it take machines A and B, working simultaneously at their respective constant rates, to prod

18、uce k car parts?_minutes这类题目小学时候经常遇到，相信很多人都是这种感受哈1/（1/10+1/15）=6min1) 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直接算，800000*（1+10%）*（1-10%）=792000，即 B2) At Store T,

19、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._%直接算，1/（1-8%）=108.7%（约等于）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 grea

20、ter 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.本题 A 选项一看到就可以排除了，涉及到两个店的绝对量的比较，这个不确定，没有告诉绝对值。B 选项是把两个增长的比例简单地算术相

21、加。肯定错了。所以 C 肯定是对的了。算一下也是的确是对的。24. 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 theGRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库customer c

22、an buy? A 9B 10C 11D 12E 20这个题首先就可以想到单价越便宜的我就能买的越多，因为它没有说两种笔一定要 。25. 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=_8+2.5*2=13_这道题不知怎么的，读题的时候度饶了，感觉很费解，什么是两个标准差，以为是个什么特殊的东西，后来问了同学

23、才知道这就是个简单的计算题，没啥特别的 个汗啊，考试的时候我碰到了，我肯定错了。26. Frequency Distribution for List XNumber1235Frequency10 2018 12 Frequency Distribution for List Y Number6789Frequency24 17 109List X and list Y each contain 60 numbers. Frequency distributions for each list are given above. The average (arithmetic mean) of

24、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. Qu ty AQu ty BThe average of the 120numbers in list ZThe median of the 120 numbers in list ZA中，平均数肯定就是两组的平均数的和的一半，也就是（2.7+7.1）/2=4.9，因为两组

25、的人数相同，而B中median就是（5+6）/2=5.5，所以就是B了。27. The figure above shows the graph of the function f in the xy-plane. What is the value of f ( f (1) ?A 2B 1GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库C 0D 1E 2这个题就是读图题了，一重重的往外算就好了，f (1)=2，f（2）=1，即D28. By weight, liquid A makes up 8 percent of solution R and 18 percent of s

26、olution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A s for what percent of the weight of the resulting solution?A 10%B 13%C 15%D 19%E 26%这个题小学也经常遇到，（3*8%+7+18%）/（7+3）=15%29. Of the 700 members of a certain organization, 120 are lawyers. Two members of the organizat

27、ion will be selected at random. Which of the following is st to the probability that neither of the members selected will be a lawyer?A 0.5B 0.6C 0.7D 0.82E 0.9C这个就是组合的计算了，2580/ C700=0.68（约等于），所以选C吧，这个题可以用下那个计算器了。30. Line k lies in the xy-plane. The x-intercept of line k is 4, and line k passes thro

28、ugh the midpoint of the ligment whose s are (2, 9) and (2, 0). What is the slope of line k ?Give your answer as a fraction._3/4_这个题先求出那条线段的中点（2,9/2），然后斜率就是（9/2）/（2-（-4）=3/431.In the course of an experiment, 95 measurements were recorded, and all of the measurements wereGRE 在线一对一课程 小站教育GRE 机经专区GRE 资料

29、库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.Qu ty AQu ty BThe average (arithmeticThe median of the 95mean) of the 95measurementsMeasurements这个题我觉得可以估计，median 应该在 6-10 这段

30、，而 average 呢，根据图表，左边的两段和右边的五段占总人数应该是差不多对半分，那么平均数就应该是向高处拉了，这个是经验估计。当然也可以通过算，我觉得这个题去算的话，量相对大些。 为 A32. 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.Qu ty AQu ty BThe value at the 75th750percentile of th

31、e distribution of X这个题，我做的时候是根据图像做的，在正态分布的函数图象上，60%90%之间的这段是个下凸的，所以当取 750 这个自变量的时候，对应的函数值应该是比 650 和 850 对应函数值的平均值小的，大家画个图就可以很直观的看出来了。所以 750 对应的应该是比 75%小，选项是33. If 1+x+x2+x3=60, then the average (arithmetic mean) of x, x2, x3, andx4 is equal to which of the following? A 12xB 15x C 20x D 30x E 60x这个题直

32、接在等式的两边乘以就好了，然后除以， 就是34.Parallelogram OPQR lies in the xy-plane, as shown in the figure above. TheGRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库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)这个题直接读图，应该有的坐标减去的

33、坐标等于的坐标减去的坐标，其实也就是两个向量是相等的，又恰好是原点，那么的坐标就是的向量坐标了，即（,） 选项35. 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 12B 24C 36D 72这个意思就是先求出和的最小公倍数，然后通过加倍使其成为一个整数的平方，

34、这样就可以找出一系列的了，这些的公公因数应该有哪些？我找了前面的两个，和，所以可以选出来了，之后的所有数肯定包含了这两个选项，而因为不满足前面这两数，所以就排除了。36. The range of the heights of the female s in a certain class is 13.2 inches, and the range of the heights of the male s in the class is 15.4inches.Which of the following statements individually provide(s) sufficient

35、 additional information to determine the range of the heights of all the s in the class?Indicate all such statements.A The tallest male in the class is 5.8 inches taller than the tallest female in the class. B The median height of the male s in the class is 1.1 inches greater than the median height

36、of the female s in the class.C The average (arithmetic mean) height of the male s in the class is 4.6 inches greater than the average height of the female s in the class.分析：在数轴上我们可以画出一段表示女生身高范围，另一段表示男生身高范围，选项告诉我们的是男生最高的比女的最高的高，那么我们就可以确定两段 的相对位置了，因此总的身高范围就可以确定了。选项A就是对的了。B选项，由于没有告诉我们男女生的人数，所以这个是无法确定的C

37、选项，这个选项跟上面的B差不多，没法确定。附上OG的解答，以作参考：37. A random variable Y is normally distributed with a mean of 200 and a standard deviation of 10. Qu ty AQu ty BThe probability of the event1/6 that the value of Y isgreater than 220这个可以复习下那个正态分布的图了，OG294 面。220 对应的就是 mean+两个标准差了， 那么 220 以下的比例是（50+34+14）%了，在 220 以上的

38、就是 1 减去前面这个数，比 1/6 要GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库小。B38. In a graduating class of 236 s, 142 took algebra and 121 took chemistry. What is the greatest possible number of s that could have taken both algebra and chemistry?_121_ s这个题我开始以为是那种集合性质的，用121 ，算的，但对 发现错了，细看题目才知道，这两种考试并不是全集，所以最多两种同时考的就是报的少的那个

39、了。39. 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

40、 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.如果设书的价格是x，那么总的支出是1.04x，根据题意有（10-3）<1.04x<10,6.73<x<9.62,由此判定A、B不对，C就对了，税钱就是0.04x<0.04*9.62=0.3840. Which of the following statements ind

41、ividually 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只告诉了三角形是

42、直角三角形和一条直角边，要求我们补充条件可以求得三角形的面积。只 能用排除法。说三角形是等边的，角就是度了，其他的便也就可以求出来了， 面积就可以求。说是等腰三角形，这个没意义，因为没说那两个 等的，比如如果，是没法求的，说AD，这个条件是没有意义的，因为我们的D点可以移动，当三角形的大小发生变化时，我们总可以找到对应的D点使得AD=BC，D选项说BC=10， 这就可以求了，E说AD的长是10，这个同样没意义。所以选AD。41. The fabric needed to make 3 curtains sells for $8.00 per yard and can be purchased

43、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 $40.00GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库B $38.40 C $24.00 D $16.00 E $12.80一共

44、三个窗帘，每个1.6m，那么一共要4.8m，由于不能零卖，只能整数的卖，所以买5m，一共是5*8=40了。42. 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 aninteger, what is the value

45、of m ?m =_ _这个题大家可以画个坐标图，标出那几个点，（-6,5）在圆内，那么半径m>5-(-7)=12（之所以能这么算，是因为圆心坐标跟这个点的横坐标相同）,而点（8，-7）在圆外，那么m<8-(-6)=14,又因为m是整数，因而m=13了43. What is the least positive integer that is not a factor of 25! and is not a pri mber?A 26B 28C 36D 56E 58这 个 题 ， 你 看 25 ！ 里 面 了 2 到 25 的 所 有 factor 了 ， 所 以 你 看26=2*

46、13,28=2*14,36=2*18,56=7*8，而只有58=2*29,29不在里面，所以就选这个了44. If 1 is expressed as a terminating decimal, how many nonzero digits 1/(211)(517)will the decimal have? A OneB Two C Four D SixE Eleven将分子转化下，使之成为以10为底数的指数，由此可以小数点的位数了，（211)(517 ）=1011*56=（1/64）*1017，由此可知，倒过来后，非零数位有两位，6和4.45. Eight hundred insect

47、s 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 12

48、6 milligrams and 130 milligrams?GRE 在线一对一课程 小站教育GRE 机经专区GRE 资料库a.这个范围就是146-105=41了，四分之一分位点在114这儿，四分之二分位点在118这儿，四分之三分位点在126这儿，四分位差为126-114=12,。b.在80%这儿是130，在75%这儿是126，那么126至130之间是5%了，对应的measurements是800*4%=40；46. The figure shows a normal distribution with mean m and standard deviation d, including a

49、pproximate 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 a

50、re 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 penguins height will be less than 60 centimeters? Give your answer to the nearest 0.05a.65和75之间，刚好是2个的标准差，因此对应的就是34%+14%=48%了，对应的企鹅是3000*48%=1440了。B.算的结果应该是2%+14%=16%，最经的0.05应嘎是0.15了42. (51!-50!)/ (50!-49!)=? (50*50/49)43. 确定是多选题(select all that apply):有一个半径为 50 的圆，问以下哪些点在圆上(go through)? 选项有(25，25)，(-30，40)等等。44. A 数列是 21 个连续整数的，B 数列是 15 个连续整数的。A 数列的中位数与B数列