1、留區(qū)-我們戰(zhàn)斗在大螞蚱！1.y=2x2+7x 3xy2.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) x2 B g(x) x 3C g(x) 2x 2 D g(x) 2x 3 E g(x) 3x 23. Each employ

2、ee 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 foll

3、owing amounts could be the average salary for all of 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 $34,0004. Working alone at its constant rate, machine A produces k car parts in 10 minutes. Working alone at its constant rate, ma

4、chine B produces k car parts留區(qū)-我們戰(zhàn)斗在大螞蚱！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

5、 that store for 2008 ?A $727,200 B $792,000 C $800,000 D $880,000 E $968,0002) 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 s

6、tatements.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 20

7、06.6.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?A 9B 10C 11D 12E 207.A list of numbers has a mean of

8、 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= 留區(qū)-我們戰(zhàn)斗在大螞蚱！8.Frequency Distribution for List XNumber Frequency123510 2018 12Frequency Distribution for List YNumber Frequency678924 17 109List X and list Y each

9、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.Quty AQuty BThe average of the

10、 120numbers in list ZThe median of the 120 numbers in list Z9. The figure above shows the graph of the function f in the xy-plane. What is the value of f ( f (1) ?A 2B 1C 0D 1E 210. 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 w

11、ith 7 grams of solution S, then liquid Afor what percent of the weight of the resulting solution? A 10%B 13%C 15%D 19%E 26%s11.Of the 700 members of a certain organization, 120 are lawyers. Two members ofthe organization will be selected at random. Which of the following is probability that neither

12、of the members selected will be a lawyer?A 0. 5B 0.6C 0.7D 0.8E 0.9st to the12.Line k lies in the xy-plane. The x-intercept of line k is 4, and line k passes throughthe midpoint of the li slope of line k ?gment whoses are (2, 9) and (2, 0). What is theGive your answer as a fraction. 留區(qū)-我們戰(zhàn)斗在大螞蚱！13.I

13、n 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.Quty AQuty BThe average (arithm

14、etic mean) of the 95 MeasurementsThe median of the 95 measurements14.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.Quty AQuty B 750The value at the 75th percentile of the distribution of X15.If 1+x+x2

15、+x3=60, then the average (arithmetic mean) of x, x2, x3, andx4 is equal to which of the following?A 12x B 15x C 20x D 30x E 60x留區(qū)-我們戰(zhàn)斗在大螞蚱！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 ar

16、e 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 12B 24C 36D 7218.The range of the h

17、eights of the female the range of the heights of the males in a certain class is 13.2 inches, and s in the class is 15.4inches.Which of the following statements individually provide(s) sufficient additionalinformation to determine the range of the heights of all the Indicate all such statements.s in

18、 the class?A The tallest malein the class.in the class is 5.8 inches taller than the tallest femaleB The median height of the male median height of the females in the class is 1.1 inches greater than the s in the class.C The average (arithmetic mean) height of the male greater than the average heigh

19、t of the females in the class is 4.6 inchess in the class.19.A random variable Y is normally distributed with a mean of 200 and a standard區(qū)-我們戰(zhàn)斗在！大螞蚱留deviation of 10.Quty AQu 1/6ty BThe probability of the event that the value of Y is greater than 22020.In a graduating class of 236s, 142 took algebra

20、 and 121 took chemistry.What is the greatest possible number of algebra and chemistry? s that could have taken boths21.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

21、 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 i

22、ndividually 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 1023. Th

23、e 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 curt

24、ains?A $40.00 B $38.40 C $24.00 D $16.00 E $12.8024. The fabric needed to make 3 curtains sells for $8.00 per yard and can be留區(qū)-我們戰(zhàn)斗在大螞蚱！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

25、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 $12.8025. 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.

26、If m is the radius of C and m is aninteger, what is the value of m ?m = 26. What is the least positive integer that is not a factor of 25! and is not apri A 26B 28C 36D 56E 58mber?27If 1 is expressed as a terminating decimal, how many nonzero digits 1/(211)(517)will the decimal have? A OneB Two C Fo

27、ur D SixE Eleven28.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, abo

28、ut how many measurements are between 126 milligrams and 130 milligrams?留區(qū)-我們戰(zhàn)斗在！大螞蚱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 ad

29、ult 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, approximate

30、ly what is the probability that the penguins height will be less than 60 centimeters? Give your answer to the nearest 0.05機經(jīng)題：8 月5 選 11. 3 個數(shù)的平均數(shù)是 30，把這 3 個數(shù)翻倍之6 個數(shù)的平均數(shù)是多少。在這個 list 中。問加進去后，2. 一個矩形里有個圓，圓外的面積涂陰影，圓面積是陰影面積的一半，求矩形面積與圓面積的比例。補充：好像還有個是（0，-50）3. 哪個選項滿足-f(x)=f(x)？ 然后給了一些函數(shù)表。爆簡單吧4. 本金是a（給了具體數(shù)的

31、，忘了），單利，年利率 r%，一求r。后利息是a/100，5. 1-9 這 9 個整數(shù)中選 2 個，選中的都是 3 的倍數(shù)的概率。6.x0, 0yB, B: BA, C: A=B, D: 大小不確定)1. 17 除以某個數(shù)余 2，這個數(shù)叫A，B 是 4（我選D，A 可以是 3 或 5）2. y 方開根號=8， A=32y, B=3(-2y) （選D，y 可以是正負 8）3. 數(shù)列首項 a1 是(1-1/22)， an=(1-1/(n+1)2)*前一項（算下來就是 a1=3/4,a2=8/9*3/4.) A 是 a5, B 是 1/2（選 A，a5=7/12）4.Column AColumn B

32、n/k + k/n15.A line passes (4, 6), (-6, 5)Column AColumn Bn/k = 3/7區(qū)-我們戰(zhàn)斗在大螞蚱留！The slope of the line A-16.Column AColumn BThe median of 5 integersThe range of 5 integers7.Column AColumn BAb8.Column A zColumn B 39.Column AColumn B10.The length of ABThe length of CDIn the figure above, This is regular

33、hexagonWhen 15 is divided by z, remainder is 2F(x) : 2x + 4y = 6 and G(x) : 4x + 2y = 10. F(x) and G(x) intersect at a point (a, b)2 u v w z and u, v, w, z are odd consecutive integers區(qū)-我們戰(zhàn)斗在大螞蚱留！Column AColumn BThe sum of a + b +c18011.Column AColumn Bn/xN12.The mean of 600 females is 80 and standa

34、rd deviation is 5. 86 is kth percentile The mean of 400 males is 75 and standard deviation is 3. 81 is nth percentileColumn A kColumn B n13.In the figure above, the line passes (0, 0) (4, -4)Column AColumn Blallbl14.Column AColumn By + (x/2)1.25y15.Column AColumn B(5n - 3)/3(5n - 1)/216.有一射擊隊，人數(shù) 600

35、 人，對其射擊結(jié)果打分，結(jié)果服從正態(tài)分布，得到算數(shù)平均分為 84 分，標(biāo)準(zhǔn)方差為 5，分?jǐn)?shù)大于 90 分的概率為 k%; 另一射擊x = y/20 x 1留區(qū)-我們戰(zhàn)斗在大螞蚱！隊，人數(shù) 400 人，對其射擊結(jié)果打分，結(jié)果服從正態(tài)分布，得到算數(shù)平均分為80 分，標(biāo)準(zhǔn)方差為 3，分?jǐn)?shù)大于 86 分的概率為 n%; 問 k 和 n 誰大？（具體數(shù)據(jù)記不清了，但就是這樣的題目）17. 已知P1=3/4；Pn=（1-（1/（n-1）2）*Pn-1 (n2)。問 P8 和 1/2 的大小？數(shù)值填空1. 3 個不同的整數(shù)相加是 76，x 是 3 數(shù)中最大的，求 x 的最小值 （我填的是 27）2.（原題不

36、是這么說的，而是給了一個圖再描述， 兩個角，相加 180 度，x 是 y 的 2.5 倍+12，求 x提取出來是這樣滴）x、y3. 7 個隊伍比賽，第一輪中，每個隊跟其余 6 個隊都各賽 3 場，求第一輪中總的比賽場數(shù)4. 一個比賽有七個人參與，規(guī)定每兩個人組隊完成一個游戲。如果在一輪比賽中，每個人都要和另外一個人組隊，每個隊要進行三個游戲，那么問最終這一輪比賽后，一共進行了多少個游戲？不確定題型1. A 衣服買了 100 件，B 衣服買了 150 件，A 衣服的單價比B 衣服便宜 30總共花了 10500 塊，問 A 衣服的單價是多少？，2. |x| + |y| = 6, 這個方程式在坐標(biāo)上

37、所圍成的圖形寬是多少？3. 7.In 1981 Ms. Jones paid 20 percent less in federal taxes than in 1980, and in1982 she paid 30 percent more in 1981. In 1982 Ms. Jones paid what percent less or more in federal taxes than in 1980?4.ABC is right triangle and angle B,D are right angles , BAC = 30, AC = 4,what is the leng

38、th of BD?5. Y = ?留區(qū)-我們戰(zhàn)斗在大螞蚱！6. The average of set A consisting 30 integers is 30. If the value of each components of set A is twice and appended to the original set A, what is the average of new set consisting 60 integers?7. From 6 boys and 3 girls, 2 people are selected. What is the probability th

39、at two selected are girls?8. 變化率最大的是？Questions 9 11A=4%, B=7%, C=8%, D=12%, E=23%, F = 46%(Total = 30 billion, *1 billion = 109)9.What is the central angle of the potion 12%?19902000A$84$90B$82$88C$87$80D$100$90E$46$50留區(qū)-我們戰(zhàn)斗在大螞蚱！10. What amount of total is difference between B and D? (in billion)11

40、. What fraction of the others is E?12. Which of followings is f(-x) = -f(x)?A) x3/(x2+1)B) x4 + x2C) x2(x + x2)D) x3(x2 + x)13. If the value of a solution of 8x2+2x+k is 1/2, what is the other solution?14. What is the median of 10, 10, 8, 8, 8, 12, 12?15. 連續(xù)扔硬幣六次，同一面不連續(xù)出現(xiàn)的概率有多少？16. 把圓形蛋糕分成 8 份時， 把se

41、ctor shape cake 的 central angle 設(shè)為12 份時sector shape cake 的central angle 設(shè)為 Y 時，x/y=?x，分成17. The three vertexes of a rectangle are (0, 4), (0, -3), (7, -3), what is the perimeter of the rectangle?18.If the average score of 20 cards is 2, what is the value of x?19. If x + y 11, what is the greatest va

42、lue of x*y? (x and y are positive integers)20. In a rectangle of which width and height is 10 and 12 each, a circle is located. If the diameter of the circle is 8, what is the area of the rectangle except the circle?21. x and y are positive integers greater than 1. If 4x + 12y = 100 and x y, what is

43、 the value of x?22. one-fifth of 1% of x = ? (In terms of x) 9 月1. 六個連續(xù)的奇數(shù)（整數(shù)）相加，不可能得到以下哪個結(jié)果2. 一個等腰直角三角形里面鑲嵌一個正方形，圖畫的不好，差不多是這樣，正方形的底邊是個三角形的斜邊是重合，并且是斜邊的 1/3。已知三角形面積是r，求 1 這個角面積3. V1： 一個數(shù)把它的三角形向右移六次，得到的數(shù)是原來這個數(shù)的倒數(shù)的九倍，Number125714Scorex12132留區(qū)-我們戰(zhàn)斗在大螞蚱！求這個數(shù)，好像是這個，記得不太清楚了。V2：一個數(shù)的小數(shù)點向右移動六位后得到的數(shù)與的倒數(shù)的 3 倍還是

44、多少是怎么著我也忘了，看清題，相等，求這個數(shù)，最后結(jié)果是 0.003。認識倒數(shù)（reciprocal）就能做對。中間的4. x 的平方36讓我們比較于x 的最大值跟最小值的差與 12 的大小應(yīng)該是等5. 給了一個表格，表示三四年級的人數(shù)，一個教授要建一個小組，從二三四年級中各選相應(yīng)的人數(shù)，用乘法計算就對了。6. 一道圖表題給的一個大學(xué)的藏書的來源，好像是四個書店，第二個圖是某一個書店賣給這個大學(xué)的書中不同種類書的數(shù)量。 需要注意的是，圖中列出的并不是所有圖書的種類而是部分圖書種類，因此給出的這些書的總數(shù)小于這個書店賣給大學(xué)的書，要用第一個表中的數(shù)據(jù)，題目中有一個好像用到了，但是即使沒注意到這個問題也不一定做錯。7. 比較 25 的九次方的倒數(shù) 與625 的4 次方還是幾次方的等的最后兩個結(jié)果是相8. 有個等腰直角三角形內(nèi)嵌正方形的題，開始還沒想到，后來才想起來。問一個三角形的面積占總面積的比例。9. 還有一個是正方形繞一點旋轉(zhuǎn)，對