GWD MATH错题集

2024北师大版四年级上册数学暑假错题集训练卷精英版一、单项选择题：本题共10小题，每小题2分，共20分，在每小题给出的答案中，只有一个符合题目要求。

(共10题)第(1)题用1、3、5、7、0组成最大的五位数是（）。

A．73510B．10357C．75310第(2)题以下数中，读出的“零”的个数和其他三个不同的是（）。

A．20030.050B．20300500C．20.3050D．200003.05第(3)题□□4×□7＝（），答案可能是（）。

A．135798B．4962C．44692D．5798第(4)题0÷16＝（）。

A．0B．1C．16第(5)题300÷51，用5做商（ ）。

A．偏小B．偏大C．合适第(6)题我国的陆地面积约是960万（）。

A．平方米B．公顷C．平方千米第(7)题的商的末尾有（）个0。

A．0B．1C．2第(8)题李阿姨带着100度的老花镜看一个原来是40°的角，她看到的这个角是（ ）度。

A．4B．40C．400第(9)题李强每天早晨起床穿衣3分钟、整理床铺2分钟、刷牙洗脸3分钟、烧开水5分钟、喝水1分钟、吃早餐6分钟、步行到学校15分钟。

李强为了在8：00前到校，他制订了“高效行动计划”，那么他最迟（）起床才不会迟到。

A．7：20B．7：25C．7：30D．7：35第(10)题下面说法中正确的是（）。

A．平行四边形是特殊的梯形B．两条直线相交，一定垂直C．平行四边形两组对边分别平行D．两条平行线长都是4厘米二、填空题：本题共11小题，每小题3分，共33分 (共11题)第(1)题要使24÷62 的商是两位数，最小填( )，要使商是一位数，最大填 ( )。

第(2)题计量比较大的土地面积，常用( )做单位。

“鸟巢”的占地面积约为20( )，( )个“鸟巢”的占地面积约为1平方千米。

第(3)题80058004是( )位数，最高位是( )位，从右往左数，第一个“8”表示8个( )，第二个“8”表示8个( )。

2024北师大版四年级上册数学暑假错题集训练卷提分版一、单项选择题：本题共10小题，每小题2分，共20分，在每小题给出的答案中，只有一个符合题目要求。

(共10题)第(1)题一所新建学校占地面的长200米，宽150米，它的占地面积是（）。

A．3平方千米B．3公顷C．3000平方米D．3万米第(2)题76□180＞765190，☐里的数有（）种填法。

A．4B．5C．6D．10第(3)题有一个边长是100米的正方形果园，如果它的边长都扩大到200米，那么该果园的面积增加了（）公顷。

A．3B．4C．1D．2第(4)题下面数据中是近似数的是（）。

A．妈妈花了280元买了一件外套。

B．2023年有365天。

C．建造一条高速公路，国家大约需要投资200亿元。

第(5)题下列各数中，一个零也不读的数是（）。

A．580460B．32306900C．3070000D．1400700第(6)题用4个8和4个0组成的最小八位数是（）。

A．88008800B．80088008C．80000888D．88880000第(7)题下面各算式，计算结果最大的是（）。

A．460×580B．508×64C．580×64D．46×508第(8)题81×□＜645，□里最大能填（）。

A．6B．7C．8第(9)题观察算式：22×101＝2222，222×1001＝222222，2222×10001＝22222222，…，则22222×100001＝（）。

A．22222222222B．2222222222C．222222222222第(10)题1厘米厚的白纸大约有100张。

如果1亿张白纸，大约厚（）。

A．100厘米B．100米C．1千米D．10千米二、填空题：本题共11小题，每小题3分，共33分 (共11题)第(1)题□65÷68，要使商是两位数，□里最小能填( )。

this discovery should give geologists a test case for evaluating hypotheses about the state of the Earth's crust at the time these naturally occurring fullerenes were formed.Which of the following, if true, most seriously undermines the argument?(A)Confirming that the shungite genuinely contained fullerenes took careful experimentation.(B)Some fullerenes have also been found on the remains of a small meteorite that collided with a spacecraft.(C)The mineral shungite itself contains large amounts of carbon, from which the fullerenes apparently formed.(D)The naturally occurring fullerenes are arranged in a previously unknown crystalline structure.(E)Shungite itself is formed only under distinctive conditions.第一步，问驳斥第二步，题干说，尽管F 最开始于实验室发现，但它们已经存于自然界很久，以F 的形式存于稀缺矿物质S 中。

因为人造F 需要温度和气压的环境，这项发现给予G 去评估一个地球的C 的假设。

Math Section------------------------------------------------------------------------------------------------------------ Q1:A student’s average (arithmetic mean) test score on 4 tests is 78. What must be the student’s score on a 5th test for the student’s average score on the 5 tests to be 80?A. 80B. 82C. 84D. 86E. 88Answer:------------------------------------------------------------------------------------------------------------ Q2:If 2 different representatives are to be selected at random from a group o f 10 employees and if p is the probability that both representatives selected will be women, is p >21?(1) More than21 of the 10 employees are women.(2) The probability that both representatives selected will be men is less than 101.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q3:Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B , is x > y ?(1) y > 4(2) The cost of the 10 kilograms of material K is less than $40.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q4:For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?(1) Revenue from ticket sales for this performance totaled $10,500.(2) The average (arithmetic mean) price per ticket sold was $21.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q5:From a group of 3 boys and 3 girls, 4 children are to be randomly selected. What is the probability that equal numbers of boys and girls will be selected?1A.104B.91C.23D.52E.3Answer:------------------------------------------------------------------------------------------------------------ Q6:A certain company assigns employees to offices in such a way that some of the offices can be empty and more than one employee can be assigned to an office. In how many ways can the company assign 3 employees to 2 different offices?A. 5B. 6C.7D.8E.9Answer:------------------------------------------------------------------------------------------------------------ Q7:√[2√63 + 2/(8+3√7)] =A.8 + 3√7B. 4 + 3√7C.8D. 4E.√7Answer:------------------------------------------------------------------------------------------------------------ Q8:The infinite sequence a1, a2,…, a n,… is such that a1 = 2, a2 = -3, a3 = 5, a4 = -1, and a n = a n-4 for n > 4. What is the sum of the first 97 terms of the sequence?A.72B.74C.75D.78E.80Answer:------------------------------------------------------------------------------------------------------------ Q9:If x and y are positive integers and 1 + x + y + xy = 15, what is the value of x + y?A. 3B. 5C. 6D.8E.9Answer:------------------------------------------------------------------------------------------------------------ Q10:If Ann saves x dollars each week and Beth saves y dollars each week, what is the total amount that they save per week?(1) Beth saves $5 more per week than Ann saves per week.(2) It takes Ann 6 weeks to save the same amount that Beth saves in 5 weeks.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q11:If x is a positive integer, is the remainder 0 when 3x + 1 is divided by 10?(1) x = 4n + 2, where n is a positive integer.(2) x > 4A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q12:If r, s, and w are positive numbers such that w = 60r + 80s and r + s = 1, is w < 70?(1) r > 0.5(2) r > sA. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q13:What is the value of the integer n?(1) n(n + 2) = 15(2) (n + 2)n = 125A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q14:If a code word is defined to be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?A. 5 to 4B. 3 to 2C. 2 to 1D. 5 to 1E. 6 to 1Answer:------------------------------------------------------------------------------------------------------------ Q15:Which of the following fractions has a decimal equivalent that is a terminating decimal?A. 18910B. 19615C. 22516D. 14425E.12839Answer:------------------------------------------------------------------------------------------------------------ Q16:For any integer k greater than 1, the symbol k * denotes the product of all the fractions of the form t 1, where t is an integer between 1 and k , inclusive. What is the value of**45?A. 5B. 45C. 54D. 41E.51Answer:------------------------------------------------------------------------------------------------------------ Q17:Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month,32 were basic and the rest were deluxe. If it takes57 as manyhours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?7A.1714B.317C.1517D.351E.2Answer:------------------------------------------------------------------------------------------------------------ Q18:A certain machine produces 1,000 units of product P per hour. Working continuously at this constant rate, this machine will produce how many units of product P in 7 days?A.7,000B.24,000C.40,000D.100,000E.168,000Answer:------------------------------------------------------------------------------------------------------------ Q19:If 5x– 5x - 3 = (124)(5y), what is y in terms of x?A.xB.x - 6C.x - 3D.2x + 3E.2x + 6Answer:------------------------------------------------------------------------------------------------------------ Q20:Lines k and m are parallel to each other. Is the slope of line k positive?(1) Line k passes through the point (3, 2).(2) Line m passes through the point (-3, 2).A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q21:Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seatsper row for the front 20 rows.(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seatsper row for the back 15 rows.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q22:The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?I. 3II.7III.12A. I onlyB. II onlyC. III onlyD. I and III onlyE. I, II, and IIIAnswer:------------------------------------------------------------------------------------------------------------ Q23:The figure above shows two entries, indicated by m and n , in an addition table. What is the value of n + m ?(1) d + y = -3 (2) e + z = 12A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q24:On a map Town G is 10 centimeters due east of Town H and 8 centimeters due south of Town J . Which of the following is closest to the straight-line distance, in centimeters, between Town H and Town J on the map?A. 6B. 13C. 18D. 20E. 24Answer:------------------------------------------------------------------------------------------------------------ Q25:If x is the product of the positive integers from 1 to 8, inclusive, and if i , k , m , and p are positive integers such that x = 2i 3k 5m 7p , then i + k + m + p =A. 4B. 7C. 8D. 11E. 12Answer:------------------------------------------------------------------------------------------------------------ Q26:In the xy -plane, the line with equation ax + by + c = 0, where abc ≠ 0, has slope 32. Whatis the value of b ?(1) a = 4 (2) c = −6A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q27:The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?(1) Each of the k employees who shared the cost of the dinner paid $19. (2) If the total cost of the dinner had been shared equally by k + 1 of the nemployees who attended the dinner, each of the k + 1 employees would have paid $18.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q28:This year Henry will save a certain amount of his income, and he will spend the rest. Next year Henry will have no income, but for each dollar that he saves this year, he will have 1 + r dollars available to spend. In terms of r , what fraction of his income should Henry save this year so that next year the amount he was available to spend will be equal to half the amount that he spends this year?A. 21+rB. 221+r C. 231+rD. 31+rE.321+rAnswer:------------------------------------------------------------------------------------------------------------ Q29:Leo can buy a certain computer for p 1 dollars in State A , where the sales tax is t 1 percent, or he can buy the same computer for p 2 dollars in State B , where the sales tax is t 2 percent. Is the total cost of the computer greater in State A than in State B ?(1) t 1 > t 2 (2) p 1t 1 > p 2t 2A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q30:If x < 0 and 0 < y < 1, which of the following has the greatest value?A. x 2B. (xy )2C. (yx )2 D.yx2E. x 2yAnswer:------------------------------------------------------------------------------------------------------------ Q31:Three printing presses, R , S , and T , working together at their respective constant rates, can do a certain printing job in 4 hours. S and T , working together at their respectiveconstant rates, can do the same job in 5 hours. How many hours would it take R , working alone at its constant rate, to do the same job?A. 8B. 10C. 12D. 15E. 20Answer:------------------------------------------------------------------------------------------------------------ Q32:Is x an odd integer?(1) x + 3 is an even integer.(2)3x is an odd integer.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q33:The surface of a certain planet reflects 80 percent of the light that strikes it. The clouds around the planet then absorb 40 percent of the reflected light. What percent of the light that strikes the planet is reflected from the surface and passes through the clouds without being absorbed?A. 32%B. 40%C. 48%D. 60%E. 88%Answer:------------------------------------------------------------------------------------------------------------ Q34:The selling price of an article is equal to the cost of the article plus the markup. The markup on a certain television set is what percent of the selling price?(1) The markup on the television set is 25 percent of the cost.(2) The selling price of the television set is $250.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q35: If37x + a = 8 and a > 8, then, in terms of a , 73x =A.a 1 + 81 B.81 - a 1 C.a 81 D.73(8 – a ) E. 499(8 – a ) Answer:------------------------------------------------------------------------------------------------------------ Q36:What is the sum of a certain pair of consecutive odd integers?(1) At least one of the integers is negative.(2) At least one of the integers is positive.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q37:If an automobile averaged 22.5 miles per gallon of gasoline, approximately how many kilometers per liter of gasoline did the automobile average? (1 mile = 1.6 kilometers and 1 gallon = 3.8 liters, both rounded to the nearest tenth.)A. 3.7B. 9.5C. 31.4D. 53.4E. 136.8Answer:------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------ Answers:EEBDD, DDBCC, ADBEE, EAECE, EDCBD, ACEEC, EDCAE, CB。

矿产资源开发利用方案编写内容要求及审查大纲
矿产资源开发利用方案编写内容要求及《矿产资源开发利用方案》审查大纲一、概述
㈠矿区位置、隶属关系和企业性质。

如为改扩建矿山, 应说明矿山现状、
特点及存在的主要问题。

㈡编制依据
(1简述项目前期工作进展情况及与有关方面对项目的意向性协议情况。

(2 列出开发利用方案编制所依据的主要基础性资料的名称。

如经储量管理部门认定的矿区地质勘探报告、选矿试验报告、加工利用试验报告、工程地质初评资料、矿区水文资料和供水资料等。

对改、扩建矿山应有生产实际资料, 如矿山总平面现状图、矿床开拓系统图、采场现状图和主要采选设备清单等。

二、矿产品需求现状和预测
㈠该矿产在国内需求情况和市场供应情况
1、矿产品现状及加工利用趋向。

2、国内近、远期的需求量及主要销向预测。

㈡产品价格分析
1、国内矿产品价格现状。

2、矿产品价格稳定性及变化趋势。

三、矿产资源概况
㈠矿区总体概况
1、矿区总体规划情况。

2、矿区矿产资源概况。

3、该设计与矿区总体开发的关系。

㈡该设计项目的资源概况
1、矿床地质及构造特征。

2、矿床开采技术条件及水文地质条件。

When a new restaurant, Martin’s Cafe, opened in Riverville last year, many people predicted that business at the Wildflower Inn, Riverville’s only other restaurant, would suffer from the competition. Surprisingly, however, in the year since Martin’s Cafe opened, the average number of meals per night served at the Wildflower Inn has increased significantly.Which of the following, if true, most helps to explain the increase?A.Unlike the Wildflower Inn, Martin’s Cafe serves considerably more meals on weekendsthan it does on weekdays. (per night)B.Most of the customers of Martin’s Cafe had never dined in Riverville before this restaurantopened, and on most days Martin’s Cafe attracts more customers than it can seat.C.The profit per meal is higher, on average, for meals served at Martin’s Cafe than for thoseserved at the Wildflower Inn.（number of meals）D.The Wildflower Inn is not open on Sundays, and therefore Riverville residents who chooseto dine out on that day must either eat at Martin’s Cafe or go to neighboring towns to eat.(per night)E. A significant proportion of the staff at Martin’s Cafe are people who forme rly worked atthe Wildflower Inn and were hired away by the owner of Martin’s Cafe.分析：其余均为无关选项原因： M & W 为对手结果：W会suffer结论：W number of meals per night increased求解释：顾客baseincreased了，且M盛不下。

2023-2023学年北师大版四年级上册数学暑假错题集训练卷提分版一、单项选择题：本题共10小题，每小题2分，共20分，在每小题给出的答案中，只有一个符合题目要求。

(共10题)第(1)题计算940÷30，下面的验算正确的是（）。

A．31×30＝940B．31×30×10＝940C．31×30＋1＝940D．31×30＋10＝940第(2)题a÷b＝12……3，如果a和b同时扩大到原来的10倍，结果是（）。

A．12......3B．120......3C．12......30D．120 (30)第(3)题三位数除以两位数，如果被除数的前两位比除数大，那么商一定是（）位数。

A．一B．两C．三第(4)题下面四个数的近似数都是5万，其中最接近5万的数是（）。

A．51079B．50179C．50197D．51097第(5)题用放大10倍的放大镜看一个35度的角，这个角是（）度。

A．350B．35C．不能确定第(6)题两数相除，如果除数乘10，要使商不变，被除数应当（）。

A．不变B．除以10C．乘10D．无法确定第(7)题下列各数中的“9”，表示9个千万的是（）。

A．90108000B．9030804C．965432D．7901520000第(8)题在计算时，其中“”表示（）。

A．6个4B．60个4C．60个400第(9)题下面说法正确的是（）。

A．线段有两个端点，可以测量长度B．锐角比直角大C．角的两边是两条射线，角的两边越长，角也就越大D．可以画一条10000米长的直线第(10)题用一副三角尺不能拼出（）的角。

A．75°B．85°C．105°二、填空题：本题共11小题，每小题3分，共33分 (共11题)第(1)题比较大小。

260800( )27万 4000000( )40万 19×300( )30×180297860000( )3亿 420÷35( )420÷21 324÷12( )168÷12第(2)题一个数的最高位是百万位，这个数是( )位数；一个九位数，它的最高位是( )位。

2023年北师大版四年级上册数学暑假错题集训练卷一、单项选择题：本题共10小题，每小题2分，共20分，在每小题给出的答案中，只有一个符合题目要求。

(共10题)第(1)题“有始有终”常常被用来形容一个人做事能够坚持到底，在数学上可以用这个成语来形容（）。

A．射线B．直线C．线段第(2)题王大伯家养了92只公鸡和230只母鸡，还养了46只鸭。

母鸡只数是鸭的（）倍。

A．2B．3C．5D．7第(3)题如果，那么（）。

A．B．C．D．C第(4)题以下各组小棒首尾相接能摆成一个平行四边形的是（）。

A．B．C．D．第(5)题下列数中要读出两个0的是（）。

A．505005B．50000505C．5005005第(6)题要用计算器计算1521÷9的结果，正确的操作步骤是（）。

①按÷键②开机按ON/C键③按9键④按＝键⑤依次按1、5、2、1键A．⑤①③④②B．②⑤①③④C．②①⑤③④D．②⑤③①④第(7)题妈妈去昌昌超市花56元买了7千克苹果，根据这两个条件，可以求苹果的（）。

A．总价B．单价C．数量D．钱数第(8)题下面的问题中不可以用150÷30这个算式来解决的是（）。

A．150名学生每30人站成一列可以站成多少列？B．购买30本同样的笔记本需要150元，每本多少钱？C．动车以150千米/时的速度行驶30小时，行驶多少千米？第(9)题如图，沿着一条线段摆了两把三角尺，∠1＝（）°。

A．45B．60C．75D．90第(10)题一个角由两个锐角组成，这个角不可能是（）。

A．钝角B．锐角C．直角D．周角二、填空题：本题共11小题，每小题3分，共33分 (共11题)第(1)题小明起床整理床铺3分钟，刷牙3分钟，洗脸2分钟。

如果他6时40分起床，最快_____时_____分做完这些事情。

第(2)题要使□32÷34的商是两位数，□里最小应填_____；要使638÷6□的商是两位数，□里最大应填_____。

错题：第一周：1、30000406读作：三千万零四零六三千万四百零六分析原因：学生刚接触亿以内的读数，对数位顺表还不是很熟，顾上了万级，却顾不了个级。

特别是零出现很多个的情况下，学生就容易写错。

纠错措施：让学生记住数位表，并分级读数。

改正：300000406读作：三千万零四百零六2、一百万有10个（1千万）。

分析：学生没有仔细读题，想当然以为是10个一百万是多少。

改正：一百万有10个（十万）。

第二周1、服装厂去年出口创汇一千万零一百美元。

写作：（1000100）分析原因：学生对写数的方法还不够熟练，没有分级再读，不够仔细。

纠错措施：让学生对文字也进行分级，找到万字，再写数。

改正：服装厂去年出口创汇一千万零一百美元。

写作：（10000100）2、三个“8”分别表示8个千万、8个十万、8个千的数是（ C ）。

A. 83688000B.80848400C.800808000分析：学生没有分级就从高位开始看起，导致错误。

改正：B第三周1、5个千亿和5个千组成的数写作（50000005000 ）。

分析原因：学生没有分级写数，导致漏了一个0。

纠错措施：让学生熟记数位表，左起右起都能记住。

再按数位写数。

改正：5个千亿和5个千组成的数写作（500000005000 ）。

2、89□0039079≈90亿□里可以填的数是（9 ）。

分析原因：学生没有理解题意，可以填的数不是唯一的。

纠错措施：让学生明白省略的尾数是那一部分，最高位是什么，再判断填什么数。

改正：89□0039079≈90亿□里可以填的数是（5～9 ）。

第四周1、一个蛋糕长5厘米，20个蛋糕排成一排长（100）厘米，就是（1）米。

那么，（10000）个蛋糕排起是1千米。

分析原因：学生对20个蛋糕排成一排长100厘米，就是1米的意思不理解。

纠错措施：帮助学生理解第二条信息的意思，知道排成一排1米需要20个蛋糕，那么排1千米需要1000个20。

改正：那么，（20000）个蛋糕排起是1千米。

GMAT句子改错SC错题集(1-20) 共20题1、雷哥GMAT>题库>GWD>句子改错SC>11571句子改错SC-11571 【难度：650-680】【2018-12-24 20:38:23已做】Among lower-paid workers, union members are less likely than nonunion members to be enrolled in lower-end insurance plans imposing stricter limits on medical services and requiring doctors to see more patients, and spend less time with each.A imposing stricter limits on medical services and requiring doctors to see more patients, and spendB imposing stricter limits on medical services, requiring doctorsto see more patients, and spendingC that impose stricter limits on medical services, require doctors to see more patients, and spendD that impose stricter limits on medical services and require doctors to see more patients, spendingE that impose stricter limits on medical services, requiring doctors to see more patients and spending正确答案：D耗时：0s网友解析当前版本由夕阳下的春日部更新于2015-12-02 10:56:53感谢夕阳下的春日部对此题目的解答所做出的贡献。

错题：第一周：1、30000406读作：三千万零四零六三千万四百零六分析原因：学生刚接触亿以内的读数，对数位顺表还不是很熟，顾上了万级，却顾不了个级。

特别是零出现很多个的情况下，学生就容易写错。

纠错措施：让学生记住数位表，并分级读数。

改正：300000406读作：三千万零四百零六2、一百万有10个（1千万）。

分析：学生没有仔细读题，想当然以为是10个一百万是多少。

改正：一百万有10个（十万）。

第二周1、服装厂去年出口创汇一千万零一百美元。

写作：（1000100）分析原因：学生对写数的方法还不够熟练，没有分级再读，不够仔细。

纠错措施：让学生对文字也进行分级，找到万字，再写数。

改正：服装厂去年出口创汇一千万零一百美元。

写作：（10000100）2、三个“8”分别表示8个千万、8个十万、8个千的数是（ C ）。

A. 83688000B.80848400C.800808000分析：学生没有分级就从高位开始看起，导致错误。

改正：B第三周1、5个千亿和5个千组成的数写作（ 50000005000 ）。

分析原因：学生没有分级写数，导致漏了一个0。

纠错措施：让学生熟记数位表，左起右起都能记住。

再按数位写数。

改正：5个千亿和5个千组成的数写作（ 500000005000 ）。

2、89□0039079≈90亿□里可以填的数是（ 9 ）。

分析原因：学生没有理解题意，可以填的数不是唯一的。

纠错措施：让学生明白省略的尾数是那一部分，最高位是什么，再判断填什么数。

改正：89□0039079≈90亿□里可以填的数是（ 5～9 ）。

第四周1、一个蛋糕长5厘米，20个蛋糕排成一排长（100）厘米，就是（1）米。

那么，（10000）个蛋糕排起是1千米。

分析原因：学生对20个蛋糕排成一排长100厘米，就是1米的意思不理解。

纠错措施：帮助学生理解第二条信息的意思，知道排成一排1米需要20个蛋糕，那么排1千米需要1000个20。

改正：那么，（20000）个蛋糕排起是1千米。

Math Section------------------------------------------------------------------------------------------------------------ Q1:If x2 = 4 and y2 =7, then x6–y4 =A.33B.25C.15D.-3E.-33Answer:------------------------------------------------------------------------------------------------------------ Q2:There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?A. 120B. 720C.1,060D.1,520E.1,980Answer:------------------------------------------------------------------------------------------------------------ Q3:If p, s, and t are positive prime numbers, what is the value of p3s3t3 ?(1) p3st = 728(2) t = 13A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q4:If x and y are integers, what is the value of 2x6y- 4 ?(1) x2y = 16(2) xy = 4A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q5:A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department ?(1) The numbers of pens, pencils, and pads that each staff member received were inthe ratio 2 : 3 : 4, respectively.(2) The manager distributed a total of 18 pens, 27 pencils, and 36 pads. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q6:The function f is defined for each positive three-digit integer n by f (n ) = 2x 3y 5z , where x , y and z are the hundreds, tens, and units digits of n , respectively. If m and v are three-digit positive integers such that f (m ) = 9 f (v ), then m - v =A. 8B. 9C. 18D. 20E. 80Answer:------------------------------------------------------------------------------------------------------------ Q7:If N = 31 + 231 + 331, then N is betweenA. 0 and 91B. 91 and 31C. 31 and 98D. 98 and 34E. 34and 2Answer:------------------------------------------------------------------------------------------------------------ Q8:A cash register in a certain clothing store is the same distance from two dressing rooms in the store. If the distance between the two dressing rooms is 16 feet, which of the following could be the distance between the cash register and either dressing room?I. 6 feetII. 12 feetIII. 24 feetA. I onlyB. II onlyC. III onlyD. I and IIE. II and IIIAnswer:------------------------------------------------------------------------------------------------------------ Q9:Is x < 0 ?(1) x3 < x2(2) x3 < x4A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q10:A rectangular floor that measures 8 meters by 10 meters is to be covered with carpet squares that each measure 2 meters by 2 meters. If the carpet squares cost $12 apiece, what is the total cost for the number of carpet squares needed to cover the floor?A.$200B.$240C.$480D.$960E.$1,920Answer:------------------------------------------------------------------------------------------------------------ Q11:In the sequence 1, 2, 4, 8, 16, 32, …, each t erm after the first is twice the previous term. What is the sum of the 16th, 17th, and 18th terms in the sequence ?A.218B.3(217)C.7(216)D.3(216)E.7(215)Answer:------------------------------------------------------------------------------------------------------------ Q12:Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?(1) There are 80 more Brand X computers than Brand Y computers at the company. (2) There is a total of 880 computers at the company.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q13:Each of 20 parents chose one of five days from Monday through Friday to attend parent-teacher conferences. If more parents chose Monday than Tuesday, did at least one of the parents choose Friday?(1) None of the five days was chosen by more than 5 parents. (2) More parents chose Monday than Wednesday.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q14:A certain pilot flew 400 miles to City K at an average speed of 350 miles per hour with the wind and made the trip back at an average speed of 250 miles per hour against the wind. Which of the following is closest to the pilot’s average speed, in miles per hour, for the round-trip?A. 280B. 290C. 300D. 310E. 320Answer:------------------------------------------------------------------------------------------------------------ Q15:If R = QP, is R ≤ P ?(1) P > 50 (2) 0 < Q ≤ 20A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q16:If 2, x, y, and z are different positive integers whose average (arithmetic mean) is 10, what is the greatest possible value of z ?A.10B.24C.34D.36E.40Answer:QX:If the average (arithmetic mean) of positive integers x, y, and z is 10, what is the greatest possible value of z ?A.8B.10C.20D.28E.30Answer:------------------------------------------------------------------------------------------------------------ Q17:Which of the following is closest to 10180– 1030 ?A.10210B.10180C.10150D.1090E.106Answer:------------------------------------------------------------------------------------------------------------ Q18:A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m +d ?A.16%B.32%C.48%D.84%E.92%Answer:------------------------------------------------------------------------------------------------------------ Q19:If x, y, and z are consecutive even positive integers, which of the following could be equal to x + y + z ?A.141B.200C.318D.391E.412Answer:------------------------------------------------------------------------------------------------------------ Q20:Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets. How many of the businesses did not report a net profit nor invest in foreign markets last year?(1) Last year 12 of the 30 businesses reported a net profit and had investments inforeign markets.(2) Last year 24 of the 30 businesses reported a net profit or invested in foreignmarkets, or both.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q21:y––––●xO–P–––In the figure shown, the circle has center O and radius 50, and point P has coordinates (50,0). If point Q (not shown) is on the circle, what is the length of line segment PQ ?(1) The x-coordinate of point Q is – 30.(2) The y-coordinate of point Q is – 40.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q22:If –2x > 3y, is x negative?(1) y > 0(2) 2x + 5y– 20 = 0A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q23:The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $13.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?A.14B.15C.16D.28E.29Answer:------------------------------------------------------------------------------------------------------------ Q24:The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ?A.15.2%B.16.0%C.20.0%D.23.2%E.24.8%Answer:------------------------------------------------------------------------------------------------------------ Q25:Machine M processes a certain chemical product at a constant rate. Does machine M process the product at a rate that is greater than 25 grams per second? (1 kilogram =1,000 grams)(1) Machine M processes the product at a rate that is greater than 92 kilograms perhour.(2) Machine M processes the product at a rate that is less than 95 kilograms per hour.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q26:Is –7 < y < 10 ?(1) y > -6 (2) y < 0A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q27:If k is an integer and (0.0025)(0.025)(0.00025) × 10k is an integer, what is the least possible value of k ?A. -12B. -6C. 0D. 6E. 12Answer:------------------------------------------------------------------------------------------------------------ Q28:Jacob purchased 100 boxes of oranges at $8.00 per box. He sold 8 of the boxes at $4.00 per box to Company A , and he sold the rest of the boxes at x dollars per box to Company B . If Jacob’s profit from the purchase and sale of the 100 boxes of oranges was $336.00, at what price per box did he sell the boxes to Company B ?A. $11.36B. $11.60C. $12.00D. $12.35E. $12.90Answer:------------------------------------------------------------------------------------------------------------ Q29:A sum of money was divided between John and Anne such that the ratio of John’s shareto Ann e’s share was 5 to 3. If John’s share exceeded 95of the sum of money by $50,what was Anne’s share?A. $180B. $270C. $340D. $450Answer:------------------------------------------------------------------------------------------------------------ Q30:From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30 ?(1) If, during this period of time, the increase in the balance in the checking accounthad been 12 percent, then the balance in the account on May 30 would have been $504.(2) During this period of time, the increase in the balance in the checking accountwas 8 percent.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q31:In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?A.4B. 3C. 2Answer:------------------------------------------------------------------------------------------------------------ Q32:What is the probability that event E or event F or both will occur?(1) The probability that event E will occur is 0.6.(2) The probability that event F will occur is 0.4.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:QX:If the probability is 0.54 that Stock A will increase in value during the next month and the probability is 0.68 that Stock B will increase in value during the next month, what is the greatest possible value for the probability that neither of these two events will occur?0.22A.0.32B.0.37D. 0.63Answer:------------------------------------------------------------------------------------------------------------ Q33:If Diana’s stamp collection, 54 of the stamps are Canadian, and 73of the Canadianstamps were issued before 1940. If 192 stamps in Diana’s collection are Canadian stamps that were issued in 1940 or later, how many stamps in her collection are not Canadian?A. 84B. 88C. 96D. 104E. 112Answer:------------------------------------------------------------------------------------------------------------ Q34:If a rectangular room measures 10 meters by 6 meters by 4 meters, what is the volume of the room in cubic centimeters? (1 meter = 100 centimeters)A. 24,000B. 240,000C. 2,400,000D. 24,000,000E. 240,000,000Answer:------------------------------------------------------------------------------------------------------------ Q35:For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If thecharge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?(1) The sales tax on the charge for labor was $9.60. (2) The total sales tax was $12.60.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q36:If x and y are integers, is y an even integer?(1) 2y – x = x 2 – y 2 (2) x is an odd integer.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q37:For any number x , ⎣⎦x denotes the greatest integer less than or equal to x . What is thevalue of ⎥⎦⎥⎢⎣⎢-410?A. 0B. –1C. –2D. –3E. –4Answer:------------------------------------------------------------------------------------------------------------ ------------------------------------------------------------------------------------------------------------ Answers:CEAAE, DCECB, EDABE, C(D )BDCD, ADBAA, CECBC, CE(B )AED, ADF. MATH---------------------------------------------------------------------------------------------------------------------- Q1:If Henry were to add 5 gallons of water to a tank that is already 3/4 full of water, the tank would be 7/8 full. How many gallons of water would the tank hold if it were full?A. 25B. 40C. 64D. 80E. 96Answer:---------------------------------------------------------------------------------------------------------------------- Q2:The function f is defined for each positive three-digit integer n by f(n) = 2x 3y 5z , where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m-v = ?A. 8B. 9C. 18D. 20E. 80Answer:----------------------------------------------------------------------------------------------------------------------Q3:At a certain food stand, the price of each apple is ¢ 40 and the price of each orange is ¢60. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is ¢ 56. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is ¢ 52?A. 1B. 2C. 3D. 4E. 5Answer:----------------------------------------------------------------------------------------------------------------------Q4:Professor Vasquez gave a quiz to two classes. Was the range of scores for the first class equal to the range of scores for the second class?(1) In each class, the number of students taking the quiz was 26, and the lowestscore in each class was 70.(2) In each class, the average (arithmetic mean) score on the quiz was 85.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:----------------------------------------------------------------------------------------------------------------------Q5:If x and y are positive integers, what is the value of x?(1) 3x5y = 1,125(2) y = 3A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:----------------------------------------------------------------------------------------------------------------------Q6:If ∣d - 9∣ = 2d, then d =A. -9B. -3C. 1D. 3E. 9Answer:----------------------------------------------------------------------------------------------------------------------Q7:There are 11 women and 9 men in a certain club. If the club is to select a committee of 2 women and 2 men, how many different such committees are possible?A. 120B. 720C. 1,060D. 1,520E. 1,980Answer:----------------------------------------------------------------------------------------------------------------------Q8:In the figure shown, two identical squares are inscribed in the rectangle. If the perimeter of the rectangle is 18√2, then what is the perimeter of each square?A. 8√2B. 12C. 12√2D. 16E. 18Answer:----------------------------------------------------------------------------------------------------------------------Q9:Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?(1) T wo of the interior angles of ABCD are right angles.(2) The degree measure of angle ABC is twice the degree measure of angleBCD.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:----------------------------------------------------------------------------------------------------------------------Q10:$10,000 is deposited in a certain account that pays r percent annual interest compounded annually, the amount D(t), in dollars, that the deposit will grow to in t years is given by D(t) = 10,000 {1+(r/100)}t . What amount will the deposit grow to in 3 years?(1) D (t) = 11,000 (2) r =10A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer:---------------------------------------------------------------------------------------------------------------------- Q11:If a and b are integers, is b even?(1) 3a + 4b is even. (2) 3a + 5b is even.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer:---------------------------------------------------------------------------------------------------------------------- Q12:Working alone at its constant rate, machine K took 3 hours to produce 41of the unitsproduced last Friday. Then machine M started working and the two machines, working simultaneously at their respective constant rates, took 6 hours to produce the rest of the units produced last Friday. How many hours would it have taken machine M , working alone at its constant rate, to produce all of the units produced last Friday?A. 8B. 12C. 16D. 24E. 30Answer:------------------------------------------------------------------------------------------------------------ Q13:If x + y is an integer, is y an integer?(1) x–y is an integer.(2) x + 2y is an integer.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:------------------------------------------------------------------------------------------------------------ Q14:A certain computer program generates a sequence of numbers a1, a2, … , an such that a1 = a2 = 1 and a k = a k-1 + 2a k-2 for all integers k such that 3 ≤ k ≤ n. If n > 6, then a7 = ?A. 32B. 43C. 64D. 100E. 128Answer:----------------------------------------------------------------------------------------------------------------------Q15:At a certain bookstore, the regular price of each book is 20 percent less than its list price. If during a sale the price of each book at the store was 15 percent less than its regular price, then the price of a book during the sale was what percent less than its list price?A. 30%B. 32%C. 35%D. 38%E. 40%Answer:----------------------------------------------------------------------------------------------------------------------Q16:What is the value of the ratio of x to y2?(1) T he ratio of x2 to y is 5/3.(2) The ratio of x to 1 is 5/3.A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.D. EACH statement ALONE is sufficient.E. Statements (1) and (2) TOGETHER are NOT sufficient.Answer:。

错题：第一周：1、30000406读作：三千万零四零六三千万四百零六分析原因：学生刚接触亿以内的读数，对数位顺表还不是很熟，顾上了万级，却顾不了个级。

特别是零出现很多个的情况下，学生就容易写错。

纠错措施：让学生记住数位表，并分级读数。

改正：300000406读作：三千万零四百零六2、一百万有10个（1千万）。

分析：学生没有仔细读题，想当然以为是10个一百万是多少。

改正：一百万有10个（十万）。

第二周1、服装厂去年出口创汇一千万零一百美元。

写作：（1000100）分析原因：学生对写数的方法还不够熟练，没有分级再读，不够仔细。

纠错措施：让学生对文字也进行分级，找到万字，再写数。

改正：服装厂去年出口创汇一千万零一百美元。

写作：（10000100）2、三个“8”分别表示8个千万、8个十万、8个千的数是（ C ）。

A. 83688000B.80848400C.800808000分析：学生没有分级就从高位开始看起，导致错误。

改正：B第三周1、5个千亿和5个千组成的数写作（50000005000 ）。

分析原因：学生没有分级写数，导致漏了一个0。

纠错措施：让学生熟记数位表，左起右起都能记住。

再按数位写数。

改正：5个千亿和5个千组成的数写作（500000005000 ）。

2、89□0039079≈90亿□里可以填的数是（9 ）。

分析原因：学生没有理解题意，可以填的数不是唯一的。

纠错措施：让学生明白省略的尾数是那一部分，最高位是什么，再判断填什么数。

改正：89□0039079≈90亿□里可以填的数是（5～9 ）。

1、一个蛋糕长5厘米，20个蛋糕排成一排长（100）厘米，就是（1）米。

那么，（10000）个蛋糕排起是1千米。

分析原因：学生对20个蛋糕排成一排长100厘米，就是1米的意思不理解。

纠错措施：帮助学生理解第二条信息的意思，知道排成一排1米需要20个蛋糕，那么排1千米需要1000个20。

改正：那么，（20000）个蛋糕排起是1千米。

If n is an integer and , what is the value of x ?(1) x is an integer.(2)Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient.Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient.BOTH statements TOGETHER are sufficient, but NEITHER statementALONE is sufficient.EACH statement ALONE is sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.单独（1）还是不知道。

单独（2）不知道1+2 ：X的值可能是1或者-1。

且需要依赖n 的值来定。

There were 2 apples and 5 bananas in a basket. After additional apples and bananas were placed in the basket, the ratio of the number of apples to the number of bananas was 1/2. How many apples were added?(1) The number of apples added was 2/3 the number of bananas added.(2) A total of 5 apples and bananas were added.Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient.Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient.BOTH statements TOGETHER are sufficient, but NEITHER statementALONE is sufficient.EACH statement ALONE is sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.A total of 100 customers purchased books at a certain bookstore last week. If these customers purchased a total of 200 books, how many of the customers purchased only 1 book each?(1) None of the customers purchased more than 3 books.(2) 20 of the customers purchased only 2 books each.Statement (1) ALONE is sufficient, but statement (2) alone is notsufficient.Statement (2) ALONE is sufficient, but statement (1) alone is notsufficient.BOTH statements TOGETHER are sufficient, but NEITHER statementALONE is sufficient.EACH statement ALONE is sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.（1）每一个人买的书本数量是1 本2本，3 本。

智 课 网 G M A T 备 考 资料GMAT语法GWD经典例题每日一练一1-24-智课教育备考GMAT语法，要吃透大纲的范围，做到非大纲语法先不看或少看，要注重基本语法，适当结合考点扩充。

最终寻找适合自己的思维习惯和GMAT考试技巧，应对考试，接下来小编就给大家介绍一下GMAT 语法GWD经典例题，希望对大家备考GMAT语法考试有帮助。

By sucking sap from the young twigs of the hemlock tree, tree growth is retarded by the woolly adelgid, causing needles to change color from deep green to grayish green and to drop prematurely.A. tree growth is retarded by the woolly adelgid, causing needles to change color from deep green to grayish green and to dropB. tree growth is retarded by the woolly adelgid, and this causes the color of needles to change from deep green to grayish green, and their droppingC. the woolly adelgid retards tree growth, which causes needles to change color from deep green to grayish green, and droppingD. the woolly adelgid retards tree growth, causing needles to change color from deep green to grayish green and to dropE. the woolly adelgid retards tree growth, and this causes the color of needles to change from deep green to grayish green, and the their dropping翻译：蚜虫adelgid通过从年轻的铁杉树的枝条吸吮汁液，迟缓树木生长，导致针叶颜色从深绿色改变到灰绿色，并过早凋落。

2024北师大版四年级上册数学暑假错题集训练卷一、单项选择题：本题共10小题，每小题2分，共20分，在每小题给出的答案中，只有一个符合题目要求。

(共10题)第(1)题用一副三角板，不可能拼出（）的角。

A．15°B．105°C．100°D．135°第(2)题如果100个塑料袋大约会污染6平方米土地，那么1亿人每人丢弃1个塑料袋，会污染的土地面积大约为（）。

A．6亿平方米B．60000000平方米C．600万平方米D．60万平方米第(3)题与7.36÷1.4计算结果相等的式子是（）。

A．736÷14B．73.6÷0.14C．7. 36÷ 14D．73.6÷14第(4)题一间实验室长约50米，宽约40米，（）间这样的实验室面积约1公顷。

A．2B．5C．20D．200第(5)题小丽在一张纸上画了直线a垂直于直线b，直线c平行于直线a，那么直线c和直线b的位置关系是（）。

A．互相垂直B．互相平行C．不平行也不垂直D．都有可能第(6)题下列图形中，高画错了的是（）。

A．B．C．第(7)题在5和9之间添（）个0，这个数就能成为五千万零九。

A．4B．6C．8第(8)题下列说法正确的是（）。

A．不相交的两条直线一定平行。

B．两条直线互相垂直，所成的四个角一定都是直角。

C．同一平面内，两条直线垂直于同一条直线，那么这两条直线也互相垂直。

第(9)题福州到厦门的公路长240千米，货车要行4小时，货车的平均速度是（）。

A．60千米B．60千米/分C．1千米/分D．960千米/时第(10)题用三个6和两个0组成一个五位数，一个“零”都不读的数是（）。

A．66600B．60606C．60066二、填空题：本题共11小题，每小题3分，共33分 (共11题)第(1)题根据35×110＝3850直接写下面各题的得数。

35×11＝( ) 35×220＝( ) 350×11＝( )第(2)题□62÷53的商是一位数，方框里的数最大是_______；如果商是两位数，方框里最小是_______。

错题集第一周：1、30000406 读作：三千万零四零六三千万四百零六分析原因：学生刚接触亿以内的读数，对数位顺表还不是很熟，顾上了万级，却顾不了个级。

特别是零出现很多个的情况下，学生就容易写错。

纠错措施：让学生记住数位表，并分级读数。

改正：300000406读作：三千万零四百零六2、一百万有10 个（1 千万）。

分析：学生没有仔细读题，想当然以为是10 个一百万是多少。

改正：一百万有10 个（十万）。

第二周1、服装厂去年出口创汇一千万零一百美元。

写作：（1000100）分析原因：学生对写数的方法还不够熟练，没有分级再读，不够仔细。

纠错措施：让学生对文字也进行分级，找到万字，再写数。

改正：服装厂去年出口创汇一千万零一百美元。

写作：（10000100）2、三个“ 8”分别表示8 个千万、8个十万、8 个千的数是（C ）。

A. 83688000B.80848400C.800808000 分析：学生没有分级就从高位开始看起，导致错误。

改正：B第三周1、5 个千亿和5 个千组成的数写作（50000005000 ）。

分析原因：学生没有分级写数，导致漏了一个0。

纠错措施：让学生熟记数位表，左起右起都能记住。

再按数位写数。

改正：5 个千亿和5个千组成的数写作（500000005000 ）。

2、89□0039079≈90 亿□里可以填的数是（9 ）。

分析原因：学生没有理解题意，可以填的数不是唯一的。

纠错措施：让学生明白省略的尾数是那一部分，最高位是什么，再判断填什么数。

改正：89□0039079≈ 90亿□里可以填的数是（5 ～9 ）。

第四周1、一个蛋糕长5 厘米，20个蛋糕排成一排长（100）厘米，就是（1）米。

那么，（10000）个蛋糕排起来是1 千米。

分析原因：学生对20 个蛋糕排成一排长100 厘米，就是1 米的意思不理解。

纠错措施：帮助学生理解第二条信息的意思，知道排成一排1 米需要20个蛋糕，那么排1 千米需要1000个20。