SAT真题
sat语法试题及答案
sat语法试题及答案SAT语法试题及答案1. 选择下列句子中语法正确的一项。
A) The book that I read yesterday was very interesting.B) The book that I read yesterday is very interesting.C) The book that I read yesterday were very interesting.D) The book that I read yesterday has been very interesting. 答案:A2. 下列句子中,哪个选项使用了正确的标点符号?A) The weather was hot, and humid, and sticky.B) The weather was hot and humid, and sticky.C) The weather was hot; and humid, and sticky.D) The weather was hot, and humid and sticky.答案:B3. 以下句子中,哪个选项的动词时态使用正确?A) I have been working on this project since last week.B) I was working on this project since last week.C) I had been working on this project since last week.D) I will have been working on this project since last week. 答案:A4. 选择下列句子中主谓一致正确的一项。
A) The team are playing well together.B) The team is playing well together.C) The players are playing well together.D) The players is playing well together.答案:B5. 下列句子中,哪个选项使用了正确的平行结构?A) She enjoys reading, to swim, and hiking.B) She enjoys reading, swimming, and hiking.C) She enjoys to read, to swim, and hiking.D) She enjoys reading, swimming, and to hike. 答案:B6. 选择下列句子中语法正确的一项。
SAT真题免费下载
1. In retrospect, the presidency of Dwight Eisanhower is perceived as ________________ period because it was relatively free of domestic turmoil.A. a tranquilB. an intractableC. a direD. a convergentE. a vanquished2. The two astronomers who simultaneously discovered Comet Hale-Bopp were _____: individuals pursuing astronomy as an interest, not as a profession.A. researchersB. amateursC. skepticsD. officialsE. pioneers3. The dictator ____ democracy as the _____ of ordinary citizens in governmentaffairs.A. scorned …dutyB. praised …abseneeC. lauded … bunglingD. endorsed … tyrannyE. derided … meddling4. The two friends occasionally induldged in _____ , as they both enjoyed about of good-natured teasing.A. banterB. libelC. bombastD. controversy5. Never an ____ , but tending instead to see both sides of an issue, the senatorwas considered _____ by those who did not know her well.A. absolutist …in decisiveB. authoritaria n …insen sitiveC. elitist … arrogantD. ideologue … adamantE. un derachiev er …moderate6. The passagers experienced an intimacy not uncommon among vacationers spending days together, an intimacy more often due to _____ t h a n any community of taste.A. proximityB. compatibilityC. affluenceD. finesseE. recalcitrance7. Chairperson and CEO Andrea Jung has revitalized her company, considered ____ in recent years, to one whose products now attract millions of consumers worldwide.A. avant-gradeB. moribundC. auspiciousD. spuriousE. munificent8. Jessica was ____ by Jon's angry outburst: she literally did not know what tosay , think or do.A. disenchantedB. peevedC. assuagedE. nonplussedSECTION 7The passages below are followed by questions based on their content; questions following a pair of related passages may also be based on the relationship betweenthe paired passages. Answer the questions on the basis of what is stated or implied in the passages and in any introductory material that may be provided.Questions 9-11 are based on the following passages.Passage 1Caves have always haunted the imagination. The ancient Greeks shuddered at tales of Cerberus, the three-headed dog guarding the entrance to Hades, and countless legends and Hollywood fantasies include a spine-tingling staple: unknown creatures lurking in the next claustrophobic corridor, hungry and waiting for visitors. Now it turns out that bizarre, voracious denizens of the underworld arc not wholly imaginary. Biologists slithering into ever deeper, tighter recesses are coming face-to-face with a fast-growing list of cave-dwelling spiders, centipedes, leeches, mites, scorpions, beetles, fish, snails, worms, and salamanders, along with thick beds of bacteria and fungi that sometimes make a living off the very rocks.Passage 2Five hundred feet below the bright-green rain forest, my fellow cave diver slipsinto the dark-green waters of a Hooded cave passage called Tunkul Sump. Loaded with lights and two scuba tanks, he unreels a thin white nylon cord, his lifeline back from the unexplored passage. I sit near the sump and wait. It's April 30. 1999. my sixth expedition to the Chiquibul cave system in Belize and Guatemala. On each trip Heel I'm opening books in an underground library that has preserved records of dramatic climate change over time, of the lives of the ancient Maya who once used these caves, and of numerous animal species, living and extinct.9. Both Passage 1 and Passage 2 indicate that caves are home to(A) fossilized remains(B) sedimentary rocks(C) mythological creatures(D) ancient human artifacts(E) multiple animal species10. The authors of both passages would most likely agree that caves(A) were left unexplored due to the dangers involved(B) are threatened by excessive exploration(C) continue to yield new discoveries(D) provide information about ancient civilizations(E) fuel people's fears about the underworld11. The last sentence of Passage 2 serves primarily to(A) show the extent to which the climate of the area has changed(B) point out that the cave was once home to species that are now extinct(C) indicate the danger associated with an expedition of this kind(D) convey the idea that the cave serves as a historical chronicle(E) suggest that underwater cave exploration is more productive than scholarlyresearchSECTION 7Questions 12-23 are based on the following passage.The passage below was adapted from a novel published in 1987.I am a painter. I paint portraits and townscapes —views of the inner city, of shabby streets, small,dusty parks, crumbling tenements. That is my art, my reason for living. Unhappily, it is not productive in the crude sense. In spite5of kindly reviews of myoccasional exhibitions and the loyal response of old friends who attend the private views and buy the smaller paintings, my work only brings in a pittance. The trade that I live by. that pays the bills and the mortgage, that gives my mother the necessary allowance to |0 keep her in reasonable comfort in her small house, is that of a copyist.I am (I mast make this clear an honest craftsman; not a cheat, not a forger. I amno Tom Keating, aging a picture with a spoonful of instant coffee, spraying on flyspecks15 with a mixture of asphalt and turpentine, pretending to have come upon an unknown Old Master ina junk shop or attic. I paint copies of famous paintings, sometimes for private persons or institutions, but mostly for the directors of companies who want an impressive decoration to hang in20 their boardrooms. Deception of an innocent kind is their intention; asked if the picture is genuine, few of them. I imagine, would lie. Nor would they be wise to.Whether they know it or not (and in some cases 1 am sure that they do know, collaborating with me ina further, minor25 deception out of pleasure and a shared sense of humor), my copies are never exact.That is where vanity comes in. One wants to leave one's mark on the world. Like many another craftsman, like an apprentice stonecutter carving a gargoyle on a cathedral. 30 I want to make myindividual contribution to the grand design, t copy the painting with all the skill at my disposal, all the tricks; squaring up, measuring with calipers, using photographs, a projector, a light box for transparencies to get as near as I can to the true color. I try to match the35 pigments used by the artist, grinding my own Naples yellow, or buying it in atube from Budapest where ii is still legal to sell it ready made with Lead and antimony. But instead of adding my signature, I change some insignificant feature. I alter the expression of a man in o crowd, add40 a tiny animal face in a dim corner, a mouse or a weasel, replace the diamond ona woman's hand with a ruby, paint a watch on a wrist in an eighteenth-century portrait.How many casual observers would notice Or care if they did'* Most people chortleto see experts confounded.45 All art. of course, is full of deception. Nature, too, and human behavior,but more of that later. Remember thestory of Zeuxis No Then I'll tell you. (Bear with me. The tale will develop, I hope, when I can find myway into it. but I amonly a painter, unused to the art of narrative flow.)50 This Zeuxis lived in Athens in the fourth century . He painted a picture of grapes with such skill that sparrows Hewin and tried to peck al the fruit. Amused, Zeuxis invited another painter lo witness a repeat performance. A rival, whose name was Parrhasius. HE affected to be55 unimpressed. To cheat sparrows was nothing extraordinary. "Bird brained" washis buzzword. The birth of a clich eParrhasius went home and brooded. His turn to ask his friend Zeuxis to inspect athe draperies60 had been painted. Zeuxis. who was either a fool, or a very nice man. or simplysomewhat shortsighted, was generous with praise. "I was only able to deceive a few painting. It was concealed behind a curtain. Zeuxis tried lo unveil it and failed:sparrows, but you have deceived me. a man and an artist."This hoary old legend has its quirky, private significance65 for me. Ever since I first heard it. at school, it made me want to be an artist good enough to fool the experts.Tom Keating (1018-1984) was an art restorer and famous art forcer who claimed to have forged over 2000 paintings by over 100 different artists.12. hi line 4, "Unhappily" most nearly means(A) Inappropriately(B) Mournfully(C) Unfortunately(D) Awkwardly(E) Unexpectedly13. The narrator portrays the "friends ” (line 6) as generally being(A) imaginative(B) artistic(C) amusing(D) reflective(E) supportive14. The narrator's attitude toward Tom Keating (line 13) is primarily one of(A) sympathy(B) fascination(C) regret(D) disdain(E) exasperation15. In line 16, the narrator uses the phrase "an unknown Old Master" to refer to(A) a forgotten teacher who once wielded great influence(B) a formerly prominent artist who has now become obscure(C) any painting found in an out-of-the-way place(D) an artwork so damaged that it has lost its aesthetic appeal(E) a painting by a famous artist that had previously been unrecognized16. The attitude of those people "collaborating" (line 24) in the "deception"(line25) is one of(A) feigned innocence(B) ironic detachment(C) wry amusement(D) naked ambition(E) unmitigated greed17. As described in lines 31-37 ("I copy ... antimony"), the narrator's approachto copying is best characterized as(A) painstaking(B) grudging(C) innovative(D) simplistic(E) slipshod18. The "watch" (line 42) is best characterized as(A) an allegory(B) an anachronism(C) a metaphor(D) a symbol(E) a conundrum19. The statement in line 45 ("All art... deception") signals a shift from(A) a discussion about a vocation to a discussion about private life(B) a description of a person to a description of a community(C) an analysis of a deception to a rumination on that deception's consequences(D) an account of a particular individual's actions to an explanatory anecdote(E) a historical consideration of a trade to a mythical tale of that20. In line 55, "cheat" most nearly means(A) mislead(B) swindle(C) deprive(D) elude(E) victimize21. In lines 54-57 ("He affected ... brooded"), the narratorParrhasius was(A) annoyed at having been summoned to judge Zeuxis' work(B) regretful that he had not worked harder to perfect his own artistic skills(C) proud that a fellow artist had created such a realistic work(D) secretly jealous of Zeuxis' accomplishment(E) more knowledgeable about the behavior of birds than Zeuxis was trade's origins implies that22- In lines 60- 61 ("Zeuxis. .. Shortsighted ), the narrator offers (A) unusual examples of a particular technique(B) alternative explanations for a certain action(C) humorous excuses for a grave situation(D) cynical reasons for a heroic gesture(E) unfair dismissals of a scholarly tradition23. The narrator implies that the "legend" (line 64) served to(A) inspire the narrator with a lifetime goal(B) solidify the narrator's ethical beliefs as an artist(C) suggest to the narrator that the life of an artist would ultimately proveto be profitable(D) discourage the narrator from attempting to become a prominent artist(E) help teach the narrator the technical skill needed to become a copyist。
sat试题及答案解析
sat试题及答案解析SAT试题及答案解析1. 阅读下列句子,选择最恰当的词汇填入空白处。
句子:The artist's new painting was a _______ of colors that left the audience in awe.选项:A. explosionB. collectionC. mixtureD. gathering答案:A解析:在这个句子中,"explosion"(爆炸)一词用来形容色彩的强烈和丰富,给人以强烈的视觉冲击,因此是最合适的词汇。
2. 阅读以下段落,回答以下问题。
段落:In the early morning, the sun rose slowly over the horizon, casting a golden glow on the sleepy town. The streets were still quiet, with only a few people walking by.问题:What time of day is described in the passage?答案:Early morning解析:文中提到“the sun rose slowly over the horizon”和“streets were still quiet”,这些描述都暗示了时间是清晨。
3. 完成以下数学题。
题目:If a car travels 120 miles in 3 hours, what is its speed in miles per hour?答案:40 mph解析:速度的计算公式是距离除以时间。
因此,120英里除以3小时等于40英里每小时。
4. 阅读下列句子,判断下列陈述是否正确。
句子:The scientist's hypothesis was proven incorrectafter the experiment.陈述:The experiment confirmed the scientist's hypothesis.答案:错误解析:句子中提到“hypothesis was proven incorrect”,意味着实验结果与科学家的假设相反,因此陈述是错误的。
sat试题及答案
sat试题及答案SAT试题及答案一、阅读理解(共20题,每题2分,总计40分)1. 根据文章A,作者主要讨论了什么主题?A. 环境保护的重要性B. 科技发展对环境的影响C. 可持续发展的策略D. 气候变化的成因答案:C2. 文章B中提到的“生态足迹”是指什么?A. 人类对自然资源的消耗量B. 人类对环境的污染程度C. 人类对生物多样性的影响D. 人类对气候系统的影响答案:A...20. 文章T中作者对于未来的看法是什么?A. 悲观的B. 乐观的C. 中立的D. 无法确定答案:B二、写作(共1题,总计20分)21. 根据所给材料,写一篇不少于500字的议论文,阐述你对“教育公平”的看法。
答案:略三、数学(共20题,每题2分,总计40分)22. 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. 100C. 157D. 196答案:A23. 一个直角三角形的两条直角边分别是3厘米和4厘米,那么它的斜边是多少厘米?A. 5B. 6C. 7D. 8答案:A...41. 如果一个数列的前三项是2, 4, 6,那么这个数列的第10项是多少?A. 20B. 22C. 24D. 26答案:A四、语法(共20题,每题2分,总计40分)42. 下列句子中,语法正确的是:a) She is one of the student who is going to the concert.b) He has more books than me.c) The children was playing in the park.d) I have been living here for two years.答案:d43. 选择正确的动词形式填空:The teacher _______ (explain/explained) the concept to the students yesterday.答案:explained...61. 选择正确的形容词填空:The _______ (boring/interested) lecture made the audience fell asleep.答案:boring五、词汇(共10题,每题2分,总计20分)62. 选择与“innovative”意思相近的词:A. TraditionalB. ConservativeC. CreativeD. Outdated答案:C63. 选择与“compromise”意思相反的词:A. AgreementB. DisputeC. ConflictD. Resolution答案:C...71. 选择与“meticulous”意思相同的词:A. CarelessB. SloppyC. ThoroughD. Haphazard答案:C请注意:以上内容为示例,实际SAT试题及答案会根据考试的具体内容而有所不同。
2024年SAT考试数学历年真题精选辑
2024年SAT考试数学历年真题精选辑一、选择题1. 已知方程 ax^2 + bx + c = 0 中,a ≠ 0,若该方程存在两个相等实数根,则下列哪个条件必然成立?A) a = bB) a = cC) b = cD) a + b = cE) b + c = a2. 投掷一枚均匀硬币,连续抛掷若干次,每次结果独立。
设已知前两次投掷结果都是正面朝上,下一次投掷的正面朝上的概率为多少?A) 1/2B) 1/4C) 1/3D) 2/3E) 2/93. 若函数 f(x) = 2x^2 + kx + 1,对于所有实数 x,f(x) > 0 成立。
则 k 的取值范围是?A) -1 < k < 1B) k > 1C) k < -1D) k ≠ 0E) k = 1二、解答题1. 设正整数 n 满足 n(n+1)(n+2) 可以被 3 和 8 同时整除,求 n 的最小值。
解:根据题意,n(n+1)(n+2) 是 3 和 8 的公倍数。
由于 3 和 8 互质,所以n(n+1)(n+2) 的最小公倍数为 24(3*8)。
因此,n 的最小值为 2。
2. 一辆长为 5 米的火车以恒定速度行驶通过测速点,测速点距离火车的前端 9 米,测得该火车的速度为 72 km/h。
若按该测速点测得的速度计算,火车的长度应为多少米?解:由于测得的速度为火车通过测速点的平均速度,根据平均速度公式v = d/t,我们可以得到火车通过测速点所用的时间 t = 9 米 / 72 km/h = (9/1000) / (72/3600) 小时。
由此,我们可以计算火车通过测速点所用的时间 t = 0.15 秒。
根据速度公式 v = d/t,可以得到火车通过测速点所用的距离 d = v * t = 72 km/h * 0.15 秒 = (72/3600) km * 0.15 秒 = 0.00375 km = 3.75 米。
2024 SAT考试必备数学历年真题练习
2024 SAT考试必备数学历年真题练习近年来,SAT考试已成为全球高中生都渴望通过的重要考试之一。
在数学部分,历年真题练习是提高成绩的重要途径之一。
本文将为大家提供2024 SAT考试必备的数学历年真题练习,帮助考生熟悉考试内容和题型,提高解题能力。
第一部分:选择题1. 题目:下列哪个数是无理数?A. 2B. -1C. πD. 0.5解析:正确答案是C。
无理数是指不能表示为两个整数的比的数,如π(圆周率)。
2. 题目:已知平面上AB为直线段,C为直线l上一点,且AC=2BC。
若直线l与x轴的交点为D,则AB与CD的交点为:A. EB. FC. GD. H解析:正确答案是A。
根据题目条件,由比例关系可得出交点E。
3. 题目:已知函数f(x) = 2x + 3, g(x) = x^2 - 1,求f(g(2))的值。
A. 9B. 10C. 11D. 12解析:首先计算g(2)的值,将x替换为2,得到g(2) = 4 - 1 = 3。
然后将g(2)的值代入f(x)的表达式中,得到f(3) = 2(3) + 3 = 9,因此正确答案是A。
第二部分:填空题4. 题目:已知函数f(x) = √(2x - 7),求f(5)的值。
解析:将x替换为5,得到f(5) = √(2(5) - 7) = √(10 - 7) = √3。
因此,f(5)的值为√3。
5. 题目:若a + b = 7,a - b = 1,则a的值为()。
解析:将两个方程相加,得到2a = 8,计算可得a = 4。
因此,a的值为4。
6. 题目:已知三角形ABC,∠ACB = 90°,AB = 5 cm,BC = 12 cm,求∠CAB的正弦值。
解析:根据勾股定理,AC^2 = AB^2 + BC^2,代入数值计算可得AC = 13 cm。
正弦值可由对边与斜边之比得出,即sin(∠CAB) = BC / AC = 12 / 13。
第三部分:解答题7. 题目:已知三角形ABC的周长为24 cm,AB = 8 cm,BC = 10 cm,求AC的长度。
sta考试真题试卷
sta考试真题试卷考试时间:120分钟总分:100分一、选择题(每题2分,共20分)1. 在数学中,下列哪个选项是正确的?A. 圆的面积公式为 \( A = \pi r^2 \)B. 圆的周长公式为 \( C = 2\pi r \)C. 圆的面积公式为 \( A = 2\pi r \)D. 圆的周长公式为 \( A = \pi r^2 \)2. 下列哪个单词的拼写是错误的?A. AccommodationB. TransportationC. CommunciationD. Information3. 根据题目所给的选项,选择正确的历史事件。
A. The French Revolution started in 1789.B. The American Civil War ended in 1861.C. The Berlin Wall fell in 1991.D. The World War II began in 1939.4. 以下哪个句子使用了正确的语法?A. She don't like to eat vegetables.B. They are going to the park tomorrow.C. He has went to the store.D. We was having a party last night.5. 下列哪个化学方程式是正确的?A. \( 2H_2 + O_2 \rightarrow 2H_2O \) (氢气燃烧)B. \( 2H_2O + CO_2 \rightarrow H_2CO_3 \) (水与二氧化碳反应生成碳酸)C. \( 2CO_2 + H_2 \rightarrow CH_4 + O_2 \) (甲烷的生成)D. \( 2H_2O + N_2 \rightarrow NH_3 \) (氨的生成)...(此处省略15题)二、填空题(每空1分,共10分)6. 在物理学中,牛顿第二定律可以表示为 \( F = ma \),其中 \( F \) 表示________,\( m \) 表示________,\( a \) 表示________。
sat数学试题及答案
sat数学试题及答案SAT数学试题及答案一、选择题1. 一个圆的半径是5,求这个圆的面积。
A. 25πB. 50πC. 75πD. 100π答案:B2. 如果一个数列的前三项是2, 4, 6,那么第10项是多少?A. 18B. 20C. 22D. 24答案:B3. 一个三角形的三边长分别为3, 4, 5,这个三角形是:A. 等边三角形B. 等腰三角形C. 直角三角形D. 钝角三角形答案:C二、填空题4. 一个数的平方根等于它本身,这个数是________。
答案:0或15. 如果一个函数f(x) = 3x + 5,求f(-2)的值。
答案:-16. 一个长方形的长是10厘米,宽是5厘米,求它的周长。
答案:30厘米三、简答题7. 一个圆的周长是31.4厘米,求这个圆的直径。
解:根据圆的周长公式C = πd,我们有31.4 = πd。
解得d = 31.4 / π ≈ 10厘米。
8. 一个等差数列的首项是5,公差是3,求第20项的值。
解:等差数列的通项公式为an = a1 + (n - 1)d。
将首项a1 = 5和公差d = 3代入公式,得到a20 = 5 + (20 - 1) * 3 = 5 + 57 = 62。
9. 一个直角三角形的两条直角边分别是6和8,求斜边的长度。
解:根据勾股定理,斜边c的长度等于两直角边的平方和的平方根,即c = √(6² + 8²) = √(36 + 64) = √100 = 10。
四、解答题10. 一个工厂生产了1000个零件,其中5%是次品。
如果工厂决定只出售合格的零件,那么工厂将出售多少个零件?解:首先计算次品的数量,1000 * 5% = 50个。
然后从总数中减去次品的数量,得到出售的合格零件数量:1000 - 50 = 950个。
11. 一个投资项目预计在第一年结束时产生$10,000的利润,如果每年的增长率为5%,那么第三年结束时的利润是多少?解:使用复合利息公式计算,P = P0 * (1 + r)^n,其中P0是初始利润,r是增长率,n是年数。
2023年SAT英语真题
2023年SAT英语真题In recent years, the SAT English exam has become an important criterion for college admissions. It assesses students' reading, writing, and language skills. As the 2023 SAT English exam approaches, it is crucial for students to familiarize themselves with the format and content of the exam. This article aims to provide a comprehensive overview of the 2023 SAT English exam.Section 1: Reading ComprehensionThe reading comprehension section of the SAT English exam requires students to critically analyze written passages and answer questions based on those passages. In 2023, this section will consist of five passages, each accompanied by a set of questions. The passages will cover a range of topics, including humanities, social sciences, natural sciences, and fiction. Students should expect to encounter complex vocabulary and various types of questions, such as vocabulary in context, main idea, inference, and author's purpose.Section 2: Writing and LanguageThe writing and language section assesses students' ability to revise and edit written passages. In the 2023 SAT English exam, this section will present students with a series of passages, each with multiple-choice questions targeting grammatical and rhetorical concepts. Students will be required to identify and correct errors in sentence structure, word choice, punctuation, and organization. Additionally, they will need to demonstratetheir understanding of rhetorical skills, such as identifying the most appropriate placement of sentences and paragraphs.Section 3: Essay (Optional)While the essay section is optional in the 2023 SAT English exam, many colleges still require it for admissions. Students who choose to complete this section will be given a prompt and asked to analyze an argument presented in a passage. They must carefully analyze the author's claims and evidence, evaluate the logical soundness of the argument, and effectively communicate their thoughts in a well-structured essay. The essay section assesses students' abilities to analyze and articulate arguments coherently and persuasively.Test-Taking StrategiesTo maximize their scores in the 2023 SAT English exam, students should follow certain test-taking strategies. Firstly, time management is crucial. Since each section has a time limit, students should allocate their time wisely, ensuring they have enough time to answer all questions. Secondly, reading actively is essential. Students should read the passages closely, paying attention to the main idea, supporting details, and tone. Thirdly, practicing with sample questions and mock exams can significantly improve test performance. By familiarizing themselves with the exam format and content, students will gain confidence and enhance their skills.In conclusion, the 2023 SAT English exam consists of three sections: reading comprehension, writing and language, and an optional essay. By understanding the format and content of each section, students can adequately prepare for the exam. Employing effective test-taking strategies, such as time management and active reading, will further enhance theirperformance. With diligent preparation and practice, students can approach the 2023 SAT English exam with confidence and achieve their desired scores.。
SAT数学试题及答案
SAT数学试题及答案本文收集了SAT数学部分的一些题目及其答案,旨在帮助考生更好地备考。
选择题1. 如果$0 \leq x \leq 3$,则不等式$|x-2| \leq 1$的解集为A) $0 \leq x \leq 3$B) $1 \leq x \leq 3$C) $1 \leq x \leq 4$D) $0 \leq x \leq 4$答案:B解析:不等式 $|x-2| \leq 1$ 表示 $x$ 到 $2$ 的距离小于等于$1$。
当 $x$ 在区间 $[1,3]$ 时,$x$ 到 $2$ 的距离都不超过 $1$,因此解集为 $1 \leq x \leq 3$。
2. 抛物线 $y=x^2-2x-3$ 的顶点坐标为A) $(0,-3)$B) $(1,-4)$C) $(2,-3)$D) $(3,0)$答案:C解析:抛物线的顶点坐标为$(\frac{-b}{2a},c-\frac{b^2}{4a})$,其中 $a$、$b$、$c$ 分别是二次项系数、一次项系数和常数项。
将$y=x^2-2x-3$ 化为标准形式,即 $y=(x-1)^2-4$,可知该抛物线的顶点坐标为 $(1,-4)$。
填空题3. 矩阵 $\begin{matrix}3 & 2 \\1 & 4\end{matrix}$ 的逆矩阵是$$\begin{pmatrix}\text{______} & \text{______} \\ \text{______} & \text{______} \end{pmatrix}$$**答案:$\begin{pmatrix}\frac{4}{5} & -\frac{2}{5} \\-\frac{1}{5} & \frac{3}{5}\end{pmatrix}$**解析:设 $\begin{pmatrix}a &b \\c & d\end{pmatrix}$ 表示该矩阵的逆矩阵,则有 $ \begin{pmatrix}3 & 2 \\1 & 4\end{pmatrix}\begin{pmatrix}a &b \\c & d\end{pmatrix}= \begin{pmatrix}1 & 0 \\0 & 1\end{pmatrix},$ 即 $\begin{cases}3a+2c=1, \\3b+2d=0, \\a+4c=0, \\b+4d=1. \\\end{cases}$ 解得逆矩阵为 $\begin{pmatrix}\frac{4}{5} & -\frac{2}{5} \\-\frac{1}{5} & \frac{3}{5}\end{pmatrix}$。
SAT数学真题
SAT数学真题1. How long will Lucy have to wait before for her $2,500 invested at 6% earns $600 in simple interest?A. 2 yearsB. 3 yearsC. 4 yearsD. 5 yearsE. 6 years2. Grace has 16 jellybeans in her pocket. She has 8 red ones, 4 green ones, and 4 blue ones. What is the minimum number of jellybeans she must take out of her pocket to ensure that she has one of each color?A. 4B. 8C. 12D. 13E. 163. If r = 5 z then 15 z = 3 y, then r =A. yB. 2 yC. 5 yD. 10 yE. 15 y4. What is 35% of a number if 12 is 15% of a number?A. 5B. 12C. 28D. 33E. 625. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?A. $1800B. $1900C. $2000D. $2100E. $22006. A car dealer sells a SUV for $39,000, which represents a 25% profit over the cost. What was the cost of the SUV to the dealer?A. $29,250C. $32,500D. $33,800E. $33,9997. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?A. $24,200B. $28,900C. $35,600D. $37,300E. $39,2008. If Sam can do a job in 4 days that Lisa can do in 6 days and Tom can do in 2 days, how long would the job take if Sam, Lisa, and Tom worked together to complete it?A. 0.8 daysB. 1.09 daysC. 1.23 daysD. 1.65 daysE. 1.97 days9. Find 0.12 ÷12A. 100B. 10C. 1D. 0.01E. 0.00110. Divide x5 by x2A. x25B. x10C. x7D. x3E. x2.511. Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?A. 0B. 1C. 2.33D. -312. Find the mode of the following list of numbers: 2, 4, 6, 4, 8, 2, 9, 4, 3, 8A. 2B. 3C. 4D. 5E. 613. In the fraction 3/x, x may not be substituted by which of the following sets?A. {1, 2, 4}B. {-2,-3,-4}C. {1, 3, 7}D. {0, 10, 20}E. {1.8, 4.3}14. Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need?A. She has enough sugar.B. She needs 1/8 of a cup of sugar.C. She needs 3/80 of a cup of sugar.D. She needs 4/19 of a cup of sugar.E. She needs 1/9 of a cup of sugar.15. At a company fish fry, 1/2 in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?A. 10.5%B. 16.7%C. 25%D. 32.3%E. 38%16. In a college, some courses contribute more towards an overall GPA than other courses. For example, a science class is worth 4 points; mathematics is worth 3 points; History is worth 2 points; and English is worth 3 points. The values of the grade letters are as follows, A= 4, B=3, C=2, D=1, F=0. What is the GPA of a student who made a “C” in Trigonometry, a “B” in American History, an “A” in Botany, and a “B” in Microbiology?A. 2.59B. 2.86C. 3.08D. 3.3317. There are 8 ounces in a ? pound. How many ounces are in 7 3/4 lbs?A. 12 ouncesB. 86 ouncesC. 119 ouncesD. 124 ouncesE. 138 ounces18. If the value of x and y in the fraction XZ/Y are both tripled, how does the value of the fraction change?A. increases by halfB. decreases by halfC. triplesD. doublesE. remains the same19. What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___A. 1/10B. 1/12C. 1/14D. 1/15E. 1/1620. Of the following units which would be more likely used to measure the amount of water in a bathtub?A. kilogramsB. litersC. millilitersD. centigramsE. volts21. If a match box is 0.17 feet long, what is its length in inchesthe most closely comparable to the following?A. 5 1/16 inch highlighterB. 3 1/8 inch jewelry boxC. 2 3/4 inch lipstickD. 2 3/16 inch staple removerE. 4 1/2 inch calculator22. Which of the following fractions is the equivalent of 0.5%?A. 1/20D. 1/5E. 1/50023. In the graph below, no axes or origin is shown. If point B's coordinates are (10,3), which of the following coordinates would most likely be A's?A. (17, -2)B. (10, 6)C. (6, 8)D. (-10, 3)E. (-2, -17)24. Over the course of a week, Fred spent $28.49 on lunch. What was the average cost per day?A. $4.07B. $3.57C. $6.51D. $2.93E. $5.4125. Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies?A. degrees CelsiusB. millilitersC. quartsD. kilogramsE. cups26. Jim has 5 pieces of string. He needs to choose the piece that will be able to go around his 36-inch waist. His belt broke, and his pants are falling down. The piece needs to be at least 4 inches longer than his waist so he can tie a knot in it, but it cannot be more that 6 inches longer so that the ends will not show from under his shirt. Which of the following pieces of string will work the best?A. 3 4/5 feetB. 3 2/3 feetC. 3 3/8 feetD. 3 1/4 feetE. 2 1/2 feet27. After purchasing a flat screen television for $750, John realizes that he got a great deal on it and wishes to sell it for a 15% profit. What should his asking price be for the television?B. $833.60C. $842.35D. $862.50E. $970.2528. If 300 jellybeans cost you x dollars. How many jellybeans can you purchase for 50 cents at the same rate?A. 150/xB. 150xC. 6xD. x/6E. 1500x29. If 6 is 24% of a number, what is 40% of the same number?A. 8B. 10C. 15D. 20E. 2530. Lee worked 22 hours this week and made $132. If she works 15 hours next week at the same pay rate, how much will she make?A. $57B. $90C. $104D. $112E. $12231. The last week of a month a car dealership sold 12 cars. A new sales promotion came out the first week of the next month and the sold 19 cars that week. What was the percent increase in sales from the last week of the previous month compared to the first week of the next month?A. 58%B. 119%C. 158%D. 175%E. 200%32. If 8x + 5x + 2x + 4x = 114, the 5x + 3 =A. 12B. 25D. 47E. 8633. If two planes leave the same airport at 1:00 PM, how many miles apart will they be at 3:00 PM if one travels directlynorth at 150 mph and the other travels directly west at 200 mph?A. 50 milesB. 100 milesC. 500 milesD. 700 milesE. 1,000 miles34. What is the cost in dollars to steam clean a room W yards wide and L yards long it the steam cleaners charge 10 cents per square foot?A. 0.9WLB. 0.3WLC. 0.1WLD. 9WLE. 3WL35. Find 8.23 x 109A. 0.00000000823B. 0.000000823C. 8.23D. 8230000000E. 82300000000036. During a 5-day festival, the number of visitors tripled each day. If the festival opened on a Thursday with 345 visitors, what was the attendance on that Sunday?A. 345B. 1,035C. 1,725D. 3,105E. 9,31537. Which of the following has the least value?A. 0.27B. 1/4C. 3/8D. 2/11E. 11%38. How many boys attended the 1995 convention?A. 358B. 390C. 407D. 540E. 71639. Which year did the same number of boys and girls attend the conference?A. 1995B. 1996C. 1997D. 1998E. None40. Which two years did the least number of boys attend the convention?A. 1995 and 1996B. 1995 and 1998C. 1996 and 1997D. 1997 and 1994E. 1997 and 1998答案:Answer Key1. C2. D3. A4. C5. C6. B7. E8. B9. D10. D11. B12. C13. D14. C15. B16. C17. D18. E19. E20. B21. D22. B23. C24. A25. E26. C27. D28. A29. B30. B31. A32. C33. C34. A35. D36. E37. E38. A39. A40. A。
sat数学考试试题
SAT 数学真题精选1. If 2 x + 3 = 9, what is the value of 4 x –3 ?(A) 5 (B) 9 (C) 15 (D) 18 (E) 212. If 4(t + u) + 3 = 19, then t + u = ?(A) 3 (B) 4 (C) 5 (D) 6 (E) 73. In the xy-coordinate ( 坐标) plane above, the line contains the points (0,0) and (1,2).If line M (not shown) contains the point (0,0) and is perpendicular (垂直)to L, what is an equation of M?(A) y = -1/2 x(B) y = -1/2 x + 1(C) y = - x(D) y = - x + 2(E) y = -2x4. If K is divisible by 2,3, and 15, which of the following is also divisible by thesenumbers?(A) K + 5 (B) K + 15 (C) K + 20 (D) K + 30 (E) K + 455. There are 8 sections of seats in an auditorium. Each section contains at least 150seats but not more than 200 seats. Which of the following could be the number ofseats in this auditorium?(A) 800 (B) 1,000 (C) 1,100 (D) 1,300 (E) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07.The least integer of a set of consecutive integers ( 连续整数) is –126. if the sum ofthese integers is 127, how many integers are in this set?(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. A special lottery is to be held to select the student who will live in the only deluxeroom in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores whoapplied. Each senior ’s name is placed in the lottery 3 times; each junior ’s namtime; and each sophomore ’s name, 1 times. If a student ’s name is chosen at random from the names in the lottery, what is the probability that a senior ’s name will bechosen?(A )1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2Question #1: 50% of US college students live on campus. Out of all students living oncampus, 40% are graduate students. What percentage of US students are graduatestudents living on campus?(A) 90% (B) 5% (C) 40% (D) 20% (E) 25%Question #2: In the figure below, MN is parallel with BC and AM/AB = 2/3. What is theratio between the area of triangle AMN and the area of triangle ABC?(A) 5/9 (B) 2/3 (C) 4/9 (D) 1/2 (E) 2/9第 2 页共11 页(A)7 (B)8 (C)9 (D)11 (E)4Question #4: What is the value of b, if x = 2 is a solution of equation x 2 - b ·x + 1 = 0?(A)1/2 (B)-1/2 (C)5/2 (D)-5/2 (E)2Question #5: Which value of x satisfies the inequality | 2x | < x + 1 ?(A)-1/2 (B)1/2 (C)1 (D)-1 (E)2Question #6: If integers m > 2 and n > 2, how many (m, n) pairs satisfy the inequalitym n < 100?(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may timeslarger will the deer population be in 60 years ?(A)2.275 (B)3.250 (C)2.250 (D)3.375 (E)2.500 Question #8: Find the value of x if x + y = 13 and x - y = 5.(A)2 (B)3 (C)6 (D)9 (E)4Question #9:US UK Medals3 2 gold1 4 silver4 1 bronzeThe number of medals won at a track and field championship is shown in the tableabove. What is the percentage of bronze medals won by UK out of all medals won bythe 2 teams?(A)20% (B)6.66% (C)26.6% (D)33.3% (E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, insquare inches, of this cube?(A)66 (B)60 (C)76 (D)96 (E)65Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equalto 1 and the product of the solutions is equal to -20. What are the solutions of theequation f(x) = 16 - x ?(a) x1 = 3 and x2 = -3 (b) x1 = 6 and x2 = -6(c) x1 = 5 and x2 = -4 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations:l 1: y = ax + 1l 2: y = bx + 2l 3: y = cx + 3Which of the following may be values of a, b and c, if line l 3 is perpendicular to both lines l 1 and l 2 ?(a) a = -2, b = -2, c = .5 (b) a = -2, b = -2, c = 2(c) a = -2, b = -2, c = -2 (d) a = -2, b = 2, c = .5(e) a = 2, b = -2, c = 2Question #3: The management team of a company has 250 men and 125 women. If200 of the managers have a master degree, and 100 of the managers with the masterdegree are women, how many of the managers are men without a master degree?(a) 125 (b) 150 (c) 175 (d) 200 (e) 225Question #4: In the figure below, the area of square ABCD is equal to the sum of theareas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If αand βare the angles of the right triangle shown in the figure above, then sin 2α+ sin 2βis equal to:(a) cos( β) (b) sin( β) (c) 1 (d) cos 2(β) (e) -1Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b areintegers. The product of the same two integers is equal to (b - 1) 2 . What is the value of a?(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11Question #1: If f(x) = x and g(x) = √x, x ≥0,s w o l h u a t i t o a n r s e o t f h f e(x)= g(x)?(A) x = 1 (B)x 1 = 1, x 2 = -1(C)x 1 = 1, x 2 = 0 (D)x = 0(E)x = -1Question #2: What is the length of the arc AB in the figure below, if O is the center ofthe circle and triangle OAB is equilateral? The radius of the circle is 9(a) π(b) 2 π·(c) 3 π·(d) 4 π·(e) π/2Question #3: What is the probability that someone that throws 2 dice gets a 5 and a 6?Each dice has sides numbered from 1 to 6.(a)1/2 (b)1/6 (c)1/12 (d)1/18 (e)1/36 Question #4: A cyclist bikes from town A to town B and back to town A in 3 hours. Hebikes from A to B at a speed of 15 miles/hour while his return speed is 10 miles/hour.What is the distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1.What is the height of C2?(a) 2·aπ/(b)a / π(c) a / (2 π)·(d)a / π(e)a + πQuestion #6: How many integers x are there such that 2 x < 100, and at the same time the number 2 x + 2 is an integer divisible by both 3 and 2?(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan 2 (x)) =(a)tan(x) + 1 (b)cos(x)(c)sin(x) (d)tan(x)(e)sin(x) + cos(x)Question #8: If 5xy = 210, and x and y are positive integers, each of the followingcould be the value of x + y except:(a)13 (b) 17 (c) 23 (d)15 (e)43Question #9: The average of the integers 24, 6, 12, x and y is 11. What is the value ofthe sum x + y?(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the followingcases?I. x < -5 II. x > 7 III. x > 09.Three unit circles are arranged so that each touches the other two. Find the radii ofthe two circles which touch all three.10.Find all real numbers x such that x + 1 = |x + 3| - |x - 1|.11.(1) Given x = (1 + 1/n) n , y = (1 + 1/n) n+1 , show that x y = y x .(2) Show that 1 2 - 2 2 + 3 2 - 4 2 + ... + (-1) n+1 n2 = (-1) n+1 (1 + 2 + ... + n).12.All coefficients of the polynomial p(x) are non-negative and none exceed p(0). Ifp(x) has degree n, show that the coefficient of x n+1 in p(x) 2 is at most p(1) 2/2.13.What is the maximum possible value for the sum of the absolute values of thedifferences between each pair of n non-negative real numbers which do not exceed 1?14.AB is a diameter of a circle. X is a point on the circle other than the midpoint of thearc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Showthat the line PQ, the tangent at X and the line AB are concurrent.15.Four points on a circle divide it into four arcs. The four midpoints form aquadrilateral. Show that its diagonals are perpendicular.16.Find the smallest positive integer b for which 7 + 7b + 7b 2 is a fourth power.17.Show that there are no positive integers m, n such that 4m(m+1) = n(n+1).18.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet at X. Themidpoints of the diagonals AC and BD are Y and Z. Find the area of the triangleXYZ.19. A square has tens digit 7. What is the units digit?20.Find all ordered triples (x, y, z) of real numbers which satisfy the following systemof equations:xy = z - x - yxz = y - x - zyz = x - y - z。
SAT试题
SAT 试题1.An object that’s moving with constant speed travels once around a circular path.Truestatements about this motion include which of the following?A.The displacement is zeroB. The average speed is zeroC. The acceleration i s zeroD. None of the aboveA2.Which of the following must always be true?1.If an object ’s acceleration is constant,then it must move in a straight line2.If an object ’s acceleration is zero,then its speed must remain constant3.If an object ’s speed remains constant,then its acceleration must be zero.A.1 and 2 onlyB.1 and 3 onlyC.2 onlyD.3 onlyE.2 and 3 o nlyC4.A frictionless inclined plane of length 20m has a maximum vertical height of 5m. If anobject of mass 2 kg is planced on the plame . Which of the following best approximates thenet force it feels?A.5NB.10NC.15ND.20NE.30NA5.A person who weighs 800N steps onto a scale that is on the floor of an elevator car. If the elevator accelerates upward at a rate of 5 m/s 2 , what will the scale read?A.400NB.800NC.1000ND.1200NE.1600ND6 .A person standing on a horizontal floor feels two forces: the downward pull of gravityand the upward supporting force from the floor. There two forcesA.have equal magnitudes and from an action /reaction pairB.have equal magnitudes but do not from an action /reaction pairC.have unequal magnitudes and from an action /reaction pairD.have unequal magnitudes and do not from an action /reaction pairE.N one of the a boveB7.How long would it take a car,starting from rest and accelerating uniformly in a straightline at 5m/s 2 ,to cover a distance of 200m?A.9s B 10.5s C.12.0s D.15.5s E.20.0sA8.A rock is dropped off a cliff and strikes the ground with an impact velocity of 30m/s.Howhigh was the cliff?A.15mB.20mC.30mD.45mE.60mD9.A soccer ball at rest on the ground,is kicked with an initial velocity of 10m/s at a launangle of 30 0 .Calculate its total flight time , assuming that air resistance is negligible.A.0.5sB.1sC.1.7sD.2sE.4sB10.If all of the forces acting on an object balance so that the net force is zero , thenA.the object must be at restB.the object ’s speed will decreaseC.the object will follow a parbolic trajectoryD.the object ’s direction of motion can change,but its speed cannotE.N one of the a boveE11.The coefficie nt of static friction between a box and a ramp is 0.5. The ramp ’s incline angle is 30 0 .If the box is placed at rest on the ramp, box willA.accelerate down the r ampB.accelerate briefly down the ramp but then slow down and stopC.m ove with constant velocity down the rampD.n ot moveE.C annot be determined from the information givenA12.A 20N block is being pushed across a horizontal table by an 18N force . If the coefficient of kinetic friction between the block and the table is 0.4. find he acceleration of the blockB.1 m/s 2C.5 m/s 2D.7.5 m/s 2E.9m/s 2A.0.5 m/s 2C13.A stone is thrown horizontally with an initial speed of 30m/s from a bridge.Find thestone ’s total speed when it enters the water 4 seconds later(Ignore air resistance.)A.30m/sB.40m/sC.50m/sD.60m/sE.70m/sC14.Which one of the following statements is true concerning the motion of an ideal projectile launched at an a ngle of 45 0 to the borizontal?A.The acceleration vector points opposite to the velocity vector on the way up and in thesame direction as the velocity vector on the way downB.The speed at the top of the trajectory is zero.C.The object ’s total speed remains constant during the entire flightD.The horizontal speed decreases on the way up and increases on the way downE.The vertical speed decreases on the way up and increases on the way downE15.Which pair of forces can produce a resultant of 15 newtons?A.20N,20NB.25N,5NC.5N,5ND.7N,7NE.5N,3NA16.Two crates are stacked on top of each other on a horizontal floor , crate # 1 is on thebottom , and crate #2 is on the top . Both crates have the same mass . Co mpared with thestrength of the force F1necessary to push only crate #1 at a constant speed across the floor,the strength of the force F necessary to push the stack at the same constant speed across2the floor is greater than F because1A.the force of the floor on crate #1 is greaterB.the coefficient of kinetic friction between crate #1 and the floor is greaterC.the force of kinetic friction. But not the normal force, on crate #1 is greaterD.the coefficient of static friction between crate #1 and the floor is greaterE.the weight of crate #1 is greaterA17.A crate of mass 100kg is at rest on a horizontal floor. The coefficient ofstatic frictionbetween crate and the floor is 0.4, land the coefficient of kinetic friction is 0.3. A force F of magnitude 344N is then applied to the crate,parallel to the floor. Which of the following is true?A.The crate will accelerate across the floor at 0.5m/s 2B.Thestatic friction force , which is the reaction force to F as guaranteed by Newton ’s thirdlaw . will also have a magnitude of 344NC.The crate will slide across the floor at a constant speed of 0.5m/sD.The crate will not m oveE None of the aboveD18.A block of mass m is at rest on a frictionless, horizontal table placed in a laboratory the surface of the earth . An identical block is at rest on a frictionless, horizontal tableplaced on the surface of the moon . Let F be the net force necessary to give the earth-houndblock an acceleration of a across the table . Given that gm oon is one sixth of gearth, the forcenecessary to give the moon-boud block the same acceleration a across the table isA.F/12B.F/6C.F/3D.FE.6FD19.As the angle between two concurrent forces increases,the magnitude of their resultantA.increases onlyB.decreases and then increasesC.increases and then decreasesD.remains the sameE.decreases only E20.A girl walks 2 meters north, 4 meters west,and 2 meters south.Her final displacement isA.4 m eastB.4m westC.2m northD.2m southE.5m northwestB21.A cart is pulled by a rope making an angle of 45 0 to the horizontal.If 100 newtons of force are applied to the rope,the magnitude of the horizontal component force is approximatelyA.45NB.141NC.100ND.80NE.71NE22.A moon of mass m orbits a plant of mass 100m. Let the strength of the gravitationalforce exerted by the planet on the moon be denoted by F1,and let the strength of thegravitational force exerted by the moon on the planet be F2true?.Which of the following isA. F1=100 F2B.10 F = F2 1C. F = F1 2. D. F2.=10 F1E. F2.=100F123.At the surface of the earth , an object of mass m has weight w . If this object is transported to an altitude that ’s twice the radius of the earth , then , at the new locationA. its mass is m/2 and its weight is w/2B. its mass is m and its weight is w/2C.its mass is m/2 and its weight is w/4D. .its mass is m and its weight is w/4E. .its mass is m and its weight is w/9E24.I f the distance between two point particles is doubled, then the gravitational force between themA.decreases by a factor o f 4B. decreases by a factor of 2C. increases by a factor of 2D. increases by a factor of 4E.Cannot be determined without knowing the masses25.The resultant of a 3-newton and a 4-newton force acting simultaneously on an object at right angles to each other is,in newtonsA.0B.1C.3.5D.5E.7D26.Two force act together on an object.The magnitude of their resultant is least when the angle between the forces i sA.0B.45C.60D.90E.180E27.T he resultant of a 5-newton and a 12-newton force acting simultaneously on an object inthe same direction is,in n ewtons.A.0B.5C.7D.13E.17E28.An object is moving around a circle of radius 1.5 meters at a constant velocity of 7meters per second. The frequency of the motion, in revolution per second, isA.0.24B.0.53C.0.67D.0.74E.0.98D29.An object undergoes uniform accelerated motion. If the radius of the path is 2 metersand the period is equal to 4 seconds, the magnitude of the centyipetal acceleration is equa toA.5m/s 2B.10 m/s 2C.20 m/s 2D.25 m/s 2E.30 m/s 2A30.An object undergoes uniform accelerated motion. If the radius of the path is equal to 1.5meters and the magnitude of the centripetal acceleration is equal to 6 m/s 2 ,the magnitudeof the tangential velocity is equal toA.3m/sB.4 m/sC.5 m/sD.6 m/sE.9 m/sA。
美国高考sat数学试题及答案
美国高考sat数学试题及答案美国高考SAT数学试题及答案1. 某商店进行促销活动,所有商品打8折。
如果一件商品原价为$50,那么打折后的价格是多少?A. $40B. $45C. $35D. $20答案:B2. 一个长方形的长是宽的两倍,如果宽为$x$,那么长方形的周长是多少?A. $6x$B. $4x$C. $2x$D. $8x$答案:A3. 如果一个数的平方等于36,那么这个数是多少?A. 6B. -6C. 6 或 -6D. 0答案:C4. 在一次数学测试中,平均分是75分。
如果一个学生得了80分,那么他的分数比平均分高了多少?A. 5分B. 10分C. 15分D. 20分答案:A5. 一个圆的半径是5厘米,那么这个圆的面积是多少平方厘米?A. 25πB. 50πC. 75πD. 100π答案:B6. 如果一个函数$f(x) = 2x + 3$,那么$f(-1)$的值是多少?A. -1B. 1C. 5D. 7答案:B7. 一个等差数列的首项是3,公差是2,那么这个数列的第10项是多少?A. 23B. 21C. 19D. 17答案:A8. 如果一个三角形的两边长分别是5和7,且这两边夹角是90度,那么这个三角形的面积是多少?A. 12.5B. 15C. 17.5D. 20答案:A9. 如果一个函数$g(x) = x^2 - 4x + 3$,那么这个函数的最小值是多少?A. -1B. 0C. 1D. 3答案:A10. 在一个装有红球和蓝球的袋子里,红球和蓝球的比例是2:3。
如果随机抽取一个球,抽到红球的概率是多少?A. 2/5B. 3/5C. 4/5D. 1/2答案:A结束语:以上是美国高考SAT数学部分的试题及答案,希望对准备参加SAT考试的学生有所帮助。
sat考试题及答案
sat考试题及答案SAT考试题及答案1. 阅读部分阅读部分包含52个问题,分为5篇文章,每篇文章后附有若干个问题。
以下是一篇示例文章及相关问题。
文章摘要:本文讨论了城市化对环境的影响,特别是城市扩张对野生动物栖息地的破坏。
问题1:作者提到城市化的主要目的是什么?A. 提高城市居民的生活质量B. 增加城市的经济收入C. 减少对自然环境的破坏D. 保护野生动物的栖息地正确答案:A问题2:根据文章,城市扩张对野生动物栖息地的影响是什么?A. 栖息地面积增加B. 栖息地面积减少C. 栖息地质量提高D. 栖息地质量下降正确答案:B2. 写作和语言部分写作和语言部分包含44个问题,要求考生修改句子、段落和整个文章,以提高语言的准确性和表达的清晰度。
问题3:以下句子中,哪个选项是语法正确的?A. She is one of the most talented singers who has ever performed.B. She is one of the most talented singers who have ever performed.C. She is one of the most talented singers who had ever performed.D. She is one of the most talented singers who has ever performed.正确答案:B问题4:以下哪个选项最适合填入空白处,以使段落连贯?原文:"The new policy aims to reduce traffic congestion by encouraging people to use public transportation."A. However, many people still prefer driving their own cars.B. Therefore, the policy has been successful in reducing traffic.C. As a result, the number of cars on the road has decreased.D. Despite this, traffic congestion remains a problem.正确答案:A3. 数学部分数学部分包含58个问题,分为两个部分:无需计算器部分和需计算器部分。
SAT真题
S A T真题(总11页)--本页仅作为文档封面,使用时请直接删除即可----内页可以根据需求调整合适字体及大小--SAT真题做SAT免费的手机APP软件,随时做题随时测分,豌豆荚、应用汇、豌豆荚等应用商店搜Satonline就可下载啦或者去官网Satonline下载1. Some fans feel that sports events are ______ only when the competitors are of equal ability, making the outcome of the game ______.A. successful…assuredB. boring…questionableC. dull…foreseenD. interesting…predictableE. exciting…uncertain2. Alfred Schnittke's musical compositions are ______: phrases are clipped, broken into sections, and split apart by long rests.A. garnishedB. improvisationalC. fragmentedD. cautiousE. uniform3. The consumer advocate claimed that while drug manufacturers ______ the supposed advantages of their proprietary brands, generic versions of the same medications are often equally ______.A. tout…efficaciousB. research…innocuousC. market…prohibitiveD. laud…counterproductiveE. extract…prescriptive4. Latoya's _____ is shown by her ability to be ______: she can see her own faults more clearly than anyone else can.A. perceptiveness…self-centeredB. objectivity…restrictiveC. cynicism…self-destructiveD. open-mindedness…complacentE. insightfulness…self-critical5. The bearded dragon lizard is a voracious eater, so ______ that it will consume as many insects as possible.A. abstemiousB. cannibalisticC. slovenlyD. insatiableE. unpalatable6. Because drummer Tony Williams paved the way for later jazz-fusion musicians, he is considered a ______ of that style.A. connoisseurB. revivalistC. beneficiaryD. disparagerE. progenitor7. The politician's speech to the crowd was composed of nothing but ______, a bitter railing against the party's opponents.A. digressionsB. diatribesC. platitudesD. machinationsE. acclamations8. Favoring economy of expression in writing, the professor urged students toward a ______ rather than an ______ prose style.A. spare…ornateB. terse…opinionatedC. personal…academicD. baroque…embellishedE. repetitive…intricateSECTION 7The passages below are followed by questions based on their content; questions following a pair of related passages may also be based on the relationship between the paired passages. Answer the questions on the basis of what is stated or implied in the passages and in any introductory material that may be provided.Questions 9-12 are based on the following passages.Passage 1Food has always been considered one of the most salient markers of cultural traditions. When I was a small child, food was the only thing that helped identify my family as Filipino American. We ate pansit lug-lug (a noodle dish) and my father put pads (salty fish sauce) on everything. However, even this connection lessened as I grew older. As my parents became more acculturated, we ate less typically Filipino food. When I was twelve, my mother took cooking classes and learned to make French and Italian dishes. When I was in high school, we ate chicken marsala and shrimp fra diablo more often than Filipino dishes like pansit lug-lug.Passage 2Jean Anthelme Brillat-Savarin—who in 1825 confidently announced, "Tell me what you eat, and I will tell you who you are"—would have no trouble describingcultural identities of the United States. Our food reveals us as tolerant adventurers who do not feel constrained by tradition. We "play with our food" far more readily than we preserve the culinary rules of our varied ancestors. Americans have no single national cuisine. What unites American eaters culturally is how we eat, not what we eat. As eaters, Americans mingle the culinary traditions of many regions and cultures. We are multiethnic eaters.9. Which of the following statements best captures the relationship between the two passages?(A) Passage 1 notes problems for which Passage 2 proposes solutions.(B) Passage 1 presents claims that are debunked by Passage 2.(C) Passage 2 furnishes a larger context for the experiences described in Passage I.(D) Passage 2 provides an update of the situation depicted in Passage 1.(E) Passage 2 uses material presented in Passage 1to correct a popular misconception.10. The author of Passage 2 would most likely regard the mother's willingness to "make French and Italian dishes" (lines 9-10, Passage 1) as(A) laughably pretentious(B) understandably conservative(C) typically American(D) a regrettable compromise(E) a surprising attitude11. The two passages differ in their discussions of food primarily in that Passage 1(A) considers specific dishes eaten by particular people, whereas Passage 2 comments on a culture's general attitude toward eating(B) contrasts the cuisines of different cultures, whereas Passage 2 emphasize culinary practices common to all cultures(C) presents an abstract theory of food, whereas Passage 2 offers a historical analysis of consumption(D) emphasizes the role of nostalgia in food preferences, whereas Passage 2 rejects that approach as overly sentimental(E) outlines some popular choices in cuisine,whereas Passage 2 underscores those that are more unusual12. Unlike the author of Passage 2, the author of Passage 1 makes significant use of(A) direct quotation(B) sociological analysis(C) hypothetical assumptions(D) historical sources(E) personal experienceQuestions 13-24 are based on the following passages.The passages below discuss the possibility of locating intelligent life on other planets. Passage 1 has been adapted from a 1999 book on the history of the universe. Passage 2 was excerpted from a 2000 book on the scientific quest for extraterrestrial life.Passage 1Generations of science-fiction movies have conditioned us to consider bug-eyed monsters, large-brained intellectual humanoids, and other rather sophisticated extraterrestrial Line creatures as typical examples of life outside Earth. The reality, however, is that finding any kind of life at all, even something as simple as bacteria, would be one of the most exciting discoveries ever made. The consensus within the scientific community seems to be that we eventually will find not only life in other parts of10 the galaxy but also intelligent and technologically advanced life. I have to say that 1 disagree. While 1 believe we will find other forms of life in other solar systems (if not in our own), I also feel it is extremely unlikely that a large number of advanced technological civilizations are out15 there, waiting to be discovered. The most succinct support for my view comes from Nobel laureate physicist Enrico Fermi, the man who ran the first nuclear reaction ever controlled by human beings. Confronted at a 1950 luncheon with scientific arguments for the ubiquity of20 technologically advanced civilizations, he supposedly said, "So where is everybody"This so-called Fermi Paradox embodies a simple logic. Human beings have had modern science only a few hundred years, and already we have moved into space. It is not25 hard to imagine that in a few hundred more years we will be a starfaring people, colonizing other systems. Fermi's argument maintains that it is extremely unlikely that many other civilizations discovered science at exactly the same time we did. Had they acquired science even a thousand30 years earlier than we. they now could be so much more advanced that they would already be colonizing our solar system.If, on the other hand, they are a thousand years behind us, we will likely arrive at their home planet before they35 even begin sending us radio signals. Technologicaladvances build upon each other, increasing technological abilities faster than most people anticipate. Imagine, for example, how astounded even a great seventeenth-century scientist like Isaac Newton would be by our current global 40 communication system, were he alive today. Where are those highly developed extraterrestrial civilizations so dear to the hearts of science-fiction writers Their existence is far from a foregone conclusion.Passage 2Although posed in the most casual of circumstances,45 the Fermi Paradox has reverberated through the decades and has at times threatened to destroy the credibility of those scientists seriously engaged in the Search for Extraterrestrial Intelligence (SET!) research program.One possible answer to Fermi's question ("If there are50 extraterrestrials, where are they") is that extraterrestrials have in fact often visited Earth, and continue to do so. This is the answer of those who believe in the existence of unidentified flying objects, or UFO's. But few scientists, even those engaged in SET1, take the UFO claims55 seriously. "You won't find anyone around here who believes in UFO's." says Frank Drake, a well-known SETI scientist. If one discounts the UFO claims, yet still believes that there are many technological civilizations in the galaxy, why have they not visited us Drake's answer60 is straightforward: "High-speed interstellar travel is so demanding of resources and so hazardous that intelligent civilizations don't attempt it." And why should they attempt it, when radio communication can supply all the information they might want?65 At first glance, Drake's argument seems very persuasive. The distances between stars are truly immense. To get from Earth to the nearest star and back, traveling at 99 percent of the speed of light, would take 8 years. And SETI researchers have shown that, to accelerate70 a spacecraft to such a speed, to bring it to a stop, and to repeat the process in the reverse direction, would take almost unimaginable amounts of energy.Astronomer Ben Zuckerman challenges Drake's notion that technological beings would be satisfied with75 radio communication. "Drake's implicit assumption is that the only thingwe're going to care about is intelligent life. But what if we have an interest in simpler life-forms If you turn the picture around and you have some advanced extraterrestrials looking at the Earth, until80 the last hundred years there was no evidence of intelligent life but for billions of years before that they could have deduced that this was a very unusual world and that there were probably living creatures on it. They would have had billions of years to come investigate." Zuckerman contends85 that the reason extraterrestrials haven't visited us is that so few exist.13. Which statement about the Fermi Paradox is supported by both passages?(A) It articulates a crucial question for those interested in the existence of extraterrestrials.(B) It clarifies the astronomical conditions required to sustain life on other planets.(C) It reveals the limitations of traditional ideas about the pace of technological change.(D) It demonstrates the scientific community's fascination with the concept of interstellar travel.(E) It suggests that advanced extraterrestrial civilizations may be uninterested in our culture.14. Which statement best describes a significant difference between the two passages?(A) Passage 1 analyzes a literary form, while Passage 2 argues that literature has little bearing on science.(B) Passage 1 presents an argument, while Passage 2 surveys current opinion in a debate.(C) Passage 1 concludes by rejecting the Fermi Paradox, while Passage 2 opens by embracing it.(D) Passage 1 describes a phenomenon, while Passage 2 details a belief system that would reject such a phenomenon.(E) Passage I defends a viewpoint, while Passage 2 questions that viewpoint's place in scientific research.15. The author of Passage 1 mentions '"monsters," "humanoids," and "creatures" (lines 2-4) primarily to(A) question the literary value of science fiction(B) contrast fictional notions with a scientific perspective(C) offer examples of the human fear of the unknown(D) criticize science fiction for being unduly alarmist(E) suggest that scientific research has been influenced by science fiction16. In line 17, "ran" most nearly means(A) fled(B) accumulated(C) traversed(D) managed(E) incurred17. Passage 1 suggests that the Fermi Paradox depends most directly on which assumption?(A) Extraterrestrial civilizations may not wish to be discovered by human beings. •(B) Extraterrestrial civilizations would most likely have discovered technology at about the same time human beings discovered it.(C) Extraterrestrial technology would develop at roughly the same rate as human technology.(D) Extraterrestrial civilizations would inevitably use technology for aggressive ends.(E) Science is a more powerful form of human knowledge than are art and literature.18. The claim made in Passage 1 that a "consensus" exists (lines 8-11) would most likely be interpreted by the author of Passage 2 as(A) evidence of compromise in the scientific community(B) an attack on SETI researchers(C) support for Fermi's analysis(D) a revelation of an unexpected truth(E) an oversimplification of a complex debate19. The author of Passage 1 mentions Isaac Newton (lines 37-40) in order to(A) emphasize the rapid rate of technological innovation(B) acknowledge (he impact of a profound thinker(C) criticize the inflexibility of Newton's contemporaries(D) speculate about New ton's influence on current research(E) highlight the value of scientific curiosity20. In lines 44-48, the author of Passage 2 indicates that the Fermi Paradox has been(A) thoroughly misunderstood(B) surprisingly influential(C) overwhelmingly perplexing(D) intermittently popular(E) frequently misquoted21. How would Frank Drake (line 56, Passage 2) most likely respond to the statement by the author of Passage 1 about humans "colonizing other systems" (line 26)(A) The means to accomplish such a project may be beyond our reach.(B) Interstellar colonization is as morally problematic as was colonization on Earth.(C) We would do better to study indigenous life-forms rather than search for extraterrestrial creatures.(D) Humans would be wise to consider that they themselves arc subject to colonization.(E) Funding for such an undertaking would pose a thorny political issue for any government.22. In line 57, "claims" most nearly means(A) demands(B) assertions(C) rights(D) territories(E) compensations23. In line 63, "radio communication" is cited as a(A) complex interaction(B) technological relic(C) common occurrence(D) practical alternative(E) dramatic advance24. Both the author of Passage 1 and Ben Zuckerman (line 73, Passage 2) imply that researchers seeking life on another planet should focus on which of the following?(A) Seasonal variations in color due to plant life(B) Evidence of the most basic forms of life(C) Signs of artificially created structures(D) Signals that might be radio communications(E) Changes in geological surface featuresQuestions 7-19 are based on the following passage.The following passage is from a 1979 essay by a Native American writer.An understanding of any national literature depends very much on an awareness of the larger cultural context. Without some knowledge of language, of history, of inflection, of the position of the storyteller within the group, without a hint of the social roles played by males and females in the culture, without a sense of the society's humor or priorities—without such knowledge, how can we, as reader or listener, penetrate to the core of meaning in an expression of artThe difficulty of gaining access to the literature of a different culture may be illustrated by an exemplary folktale (in translation) from the Tanaina (Athabaskan) culture of south-central Alaska. It would typically be told to a general audience within the society, including the full range of ages from young children to grandparents; it would be recounted with gesticulation and exaggeration by aperformance specialist. It would be expected to have different meanings to the various categories of listeners— instructive, entertaining, reinforcing, or all three. Here is a brief version of the story:"Once upon a time there was a porcupine woman who decided to do some hunting .on the far side of the river. She went to the bank, where she met a beaver.'Hello,' she said to him. T need to do some hunting over there. Will you ride me across on your back''I'd be glad to,' replied the beaver. 'Hop on.' So the porcupine woman climbed on his back, and he started swimming for the other side. When he had almost made it, the porcupine woman said, 'Oh my! I've forgotten to bring my sack. I'll need to go back to the other bank and get it.''All right.' said the beaver, and swam back. He was panting while the porcupine woman went to get her sack.'Okay,' she said. 'Let's go.' So they started across again. The beaver was swimming much more slowly. When they had practically reached the other side, she said, 'Oh my! I've forgotten to bring my needle. We'll have to go back and get it.'This time the beaver didn't say anything—he didn't have enough breath! But he turned around and pulled them back to the shore and nearly passed out while she got her needle.'Hurry up, now." the porcupine woman said as she climbed back on his back. He could hardly keep his nose above water, but he had almost made it to the far bank again when she said, 'Oh my! I've forgotten my staff. We'll have to . . . .' Before she had finished her sentence the beaver had flipped over in the water and dragged himself onto the bank, where he lay half dead. The porcupine woman managed to make the shore too, and climbed up onto a bear path. When she had caught her breath, she turned on the beaver and quilted him to death."The Tanaina live in an environment that could euphemistically be described as "difficult." Survival, especially in the wild, is always precarious. Further, they were, in the precontact period, a nonlilcratc people. Oral communication was therefore the method of cultural transmission, legal understanding, and meaningful communication. It is also necessary lo know that a "staff." as mentioned in the story, fund ions as both a walking stick and a weapon, and that in the Tanaina symbol system, porcupines were supposed to be rather ponderous, dull-witted creatures, and beavers were thought to be energetic and industrious but overly spontaneous and erratic.For the reader armed with these data, the story becomes more accessible as a lesson in contract law, with several additional minor themes. A culturally attuned listener would notice, for instance, that when the porcupine woman proposed passage to the beaver, he agreed without any stipulations or clarifications of the terms. He gave a basically open-ended agreement—made a contract—andhence the porcupine woman was perfectly within her rights both in demanding that he return three times and in quilting him to death when he reneged.The story is not. however, without its moral for the porcupine women of this world. Her stated aim is to go hunting, and yet she sets out without the three essentials of that endeavor: a sack in which to carry home her game, a needle with which to sew up the intestines, and, most important, an implement with which to hunt and defend herself. True, she had an open-ended contract, but where does she wind up at the conclusion of the story Sitting, exhausted, quills used up, weaponless, and not only on the wrong side of the river from her home but on a bear path! The hunter is about to become the hunted, and all because of her own improvidence.7. In the opening paragraph, the author assumes that the "meaning" (line 8) is(A) culturally determined(B) intensely personal(C) essentially moralistic(D) permanently inscrutable(E) uniquely artistic8. In the context of the passage, which "expression of art" (line 9) would be the most difficult to interpret?(A) A contemporary play written by a prolific play wright(B) A fable from a nonliterate society with which anthropologists are very familiar(C) A single text produced by a previously unknown society(D) A sitcom from the early days of television(E) A single myth from an ancient culture with a well-documented mythological structure9. How does the author respond to the question posed in lines 3-9?(A) By proposing an innovative strategy(B) By confirming the futility of such analysis(C) By describing a personal experience with the problem(D) By illustrating his point within a particular context(E) By documenting a traditional approach to the problem10. The author discusses Tanaina culture from the perspective of(A) a concerned parent(B) a bewildered visitor(C) a performance artist(D) an informed outsider(E) an indignant reader11. The sentence in which "difficult" appears (lines 54-55) indicates that the author considers the word to be(A) an exaggeration(B) an estimate(C) an understatement(D) a contradiction(E) a preconception12. In relation to the passage, the statements in lines 59-65 serve a function most similar to which of the following items?(A) A menu in a restaurant(B) The key or legend to a map(C) A department store directory(D) The outline of a term paper(E) An illustration of a fairytale13. The author's analysis of the folktale offers which insight into Tanaina beliefs?(A) A fanciful story is most suitable for an audience of children.(B) A verbal exchange can establish a binding contract.(C) A person who behaves impulsively is most often sincere.(D) A shared task should be divided fairly between two people.(E) A painstaking plan may nonetheless fail to anticipate all problems.14. The "porcupine women of this world" (lines 76-77) are best described as people who(A) plan inadequately for their own needs(B) postpone necessary work in favor of leisure(C) depend heavily upon help from their close friends(D) return repeatedly to their favorite places(E) flee quickly from any laborious task15. The final paragraph (lines 76-87) suggests that the bear path mentioned in lines 51-52 is significant because it(A) foreshadows the arrival of a benevolent character from Tanaina folklore(B) suggests an alarming alternative to crossing the river(C) marks the boundary of the beaver's natural surroundings(D) explains the porcupine woman's fear of unfamiliar territory(E) poses a new peril for the porcupine woman16. In lines 83-87, the description of the porcupine woman emphasizes the discrepancy between her(A) social position and her private feelings(B) physical wealth and her moral poverty(C) hostile action and her ultimate gratitude(D) original goal and her actual situation(E) grandiose ambition and her real moods17. As a commentary on legal relations, the folktale is best described as(A) an example of traditional practices(B) an outline for social behavior(C) a warning about ill-conceived assent(D) a criticism of obsolete custom(E) a parody of actual situation18. The author's attitude toward the Tanaina folktale is best described as(A) excitement at an unexpected discovery(B) admiration of the storyteller's performance(C) appreciation of the folktale as a means of communicating values(D) enthusiasm for the Tanaina culture's concept of legality(E) enjoyment of the comical aspects of the folktale19. Which statement is most consistent with the author's argument?(A) Translating a literary text requires formal lin¬guistic training(B) Tales transmitted by a nonliterate society elude transcription in later eras.(C) Listening to a skilled storyteller is more instructive than entertaining.(D) Simple enjoyment of a tale is incompatible with scholarly analysis.(E) To read a text is not necessarily to understand it.。
SAT学真题精选
SAT数学真题精选1. If 2 x + 3 = 9, what is the value of 4 x – 3 ?(A) 5 (B) 9 (C) 15 (D) 18 (E) 212. If 4(t + u) + 3 = 19, then t + u = ?(A) 3 (B) 4 (C) 5 (D) 6 (E) 73. In the xy-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular (垂直)to L, what is an equation of M?(A) y = -1/2 x (B) y = -1/2 x + 1 (C) y = - x (D) y = - x + 2 (E) y = -2x4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers?(A) K + 5 (B) K + 15 (C) K + 20 (D) K + 30 (E) K + 455. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium?(A) 800 (B) 1,000 (C) 1,100 (D) 1,300 (E) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true?(A) r < 1 (B) s < 1 (C) u= 2 (D) r = 0 (E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set?(A) 126 (B) 127 (C) 252 (D) 253 (E) 2548. A special lottery is to be held to select the student who will live in the only deluxe room in adormitory. There are 200 seniors, 300 juniors, a nd 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen?(A)1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2SAT考试数学练习题(一)1. If f(x) = x²– 3, where x is an integer, which of the following could be a value of f(x)?I 6II 0III -6A. I onlyB. I and II onlyC. II and III onlyD. I and III onlyE. I, II and IIICorrect Answer: A解析:Choice I is correct because f(x) = 6 when x=3. Choice II is incorrect because to make f(x) = 0, x²would have to be 3. But 3 is not the square of an integer. Choice III is incorrect because to make f(x) = 0, x² would have to be –3 but squares cannot be negative. (The minimum value for x2 is zero; hence, the minimum value for f(x) = -3)2. For how many integer values of n will the value of the expression 4n + 7 be an integer greater than1 and less than 200?A. 48B. 49C. 50D. 51E. 52Correct Answer: C解析:1 < 4n + 7 < 200. n can be 0, or -1. n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1. The largest value for n will be an integer < (200 - 7) /4. 193/4 = 48.25, hence 48. The number of integers between -1 and 48 inclusive is 503. In the following correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the sum are different. What is the sum of A,B,C and D?C. 18D. 16E. 14Correct Answer: B解析:First you must realize that the sum of two 2-digit numbers cannot be more that 198 (99 + 99). Therefore in the given problem D must be 1. Now use trial and error to satisfy the sum 5A + BC = 143. A + C must give 3 in the units place, but neither can be 1 since all the digits have to be different. Therefore A + C = 13. With one to carry over into the tens column, 1 + 5 + B = 14, and B = 8. A + C + B + D = 13 + 8 + 1 = 224. 12 litres of water a poured into an aquarium of dimensions 50cm length , 30cm breadth, and 40 cm height. How high (in cm) will the water rise?(1 litre = 1000cm³)A. 6B. 8C. 10D. 20E. 40Correct Answer: B解析:Total volume of water = 12 liters = 12 x 1000 cm3. The base of the aquarium is 50 x 30 = 1500cm3. Base of tank x height of water = volume of water. 1500 x height = 12000; height = 12000 / 1500 = 85. Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?A. 11/P + 6B. P/11 +6C. 17 - P/6D. 17/PE. 11.5PCorrect Answer: A解析:Let Ben’s age now be B. Anita’s age now is A. (A - 6) = P(B - 6)But A is 17 and therefore 11 = P(B - 6). 11/P = B-6(11/P) + 6 = BSAT考试数学练习题(二)1. The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?I 11II 1B. II onlyC. I and II onlyD. II and III onlyE. I, II, or III.Correct Answer: E解析:Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11, but anywhere in between is possible.2. √5 percent of 5√5 =A. 0.05B. 0.25C. 0.5D. 2.5E. 25Correct Answer: B解析:We can write the state ment mathematically, using x to mean ‘of’ and /100 for ‘per cent’. So ( √5/100) x 5√5 = 5 x 5 /100 = 0.253. If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?A. PB. QC. RD. SE. TCorrect Answer: D解析:If pqr = 1, none of these variable can be zero. Since spr = 0 , and since p and r are not zero, s must be zero. (Note that although rst = 0, and so either s or t must be zero, this is not sufficient to state which must be zero)4.A. 1/5B. 6/5C. 6³D. 64 / 5E. 64Correct Answer: E解析:65 = 64x 6(64 x 6) - 64 = 64(6 - 1) = 64 x 5 Now, dividing by 5 will give us 645. -20 , -16 , -12 , -8 ....In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?A. 0B. 200C. 440D. 668E. 762Correct Answer: E解析:All terms in the sequence will be multiples of 4. 762 is not a multiple of 4SAT考试数学练习题㈢1. Which of the following could be a value of x, in the diagram above?A. 10B. 20C. 40D. 50E. any of the above2. Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?A. 10B. 15C. 20D. 25E. 303. Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?A. 5 : 1B. 10 : 5C. 15 : 2D. 20 : 24. A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?A. 2.5πB. 3πC. 5πD. 4πE. 10π5. Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?A. 4B. 7C. 8D. 12E. it cannot be determined from the information given.SAT考试数学练习题㈣1. If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?A. f(-1)B. f(0)C. f(1)D. f(3)E. f(4)2. ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?A. 2.25B. 3C. 4D. 4.5E. 63. If n ≠ 0, which of the following must be greater than n?II n²III 2 - nA. I onlyB. II onlyC. I and II onlyD. II and III onlyE. None4. After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?A. 20B. 15C. 8D. 5E. 3.25. n and p are integers greater than 15n is the square of a number75np is the cube of a number.The smallest value for n + p isA. 14B. 18C. 20D. 30E. 50SAT考试数学练习题㈤1. If a² = 12, then a4 =A. 144B. 72C. 36D. 24E. 16Correct Answer: A解析:a4 = a2 x a2 = 12 x 12 = 1442. If n is even, which of the following cannot be odd?I n + 3II 3nIII n² - 1A. I onlyB. II onlyD. I and II onlyE. I, II and IIICorrect Answer: B解析:In case I , even plus odd will give odd. In case II, odd times even will give even. In case III even squared is even, and even minus odd is odd. (You can check this by using an easy even number like 2 in place of n). Only case II cannot be odd.3. One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?I 24II 20III 5A. I onlyB. II onlyC. III onlyD. II and III onlyE. I, II and IIICorrect Answer: D解析:The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5 = 20. We can alter the angle between the sides to make it less or more than 90, but this will only reduce the area. (Draw it out for yourself). Hence the area can be anything less than or equal to 20.4. A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?A. 12B. 11C. 10D. 9E. 8Correct Answer: E解析:Food consumed per day = 39/6. In the remaining days it will consume 91 - 39 pounds = 52 pounds. Now divide the food by the daily consumption to find the number of days. 52 / (39/6) = 52 x (6 / 39) = 85. A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?A. 8pB. pqC. pq + 27D. -pE. (p - q)6Correct Answer: C解析:A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5. Consider the answer choices in turn. 8 is the cube of 2, and p is a cube, and so the product will also be a cube. pq will also be a cube as shown above.pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube. -p will be a cube. Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).SAT考试数学练习题㈥1. What is the length of the line segment in the x-y plane with end points at (-2,-2) and (2,3)?A. 3B. √31C. √41D. 7E. 9Correct Answer: C解析:Sketch a diagram and calculate the distance (hypotenuse of a right triangle) using Pythagoras theorem.Vertical hei ght of triangle = 5 ; horizontal side = 4 ; hypotenuse = √(25 + 16) = √412. n is an integer chosen at random from the set{5, 7, 9, 11 }p is chosen at random from the set{2, 6, 10, 14, 18}What is the probability that n + p = 23 ?A. 0.1B. 0.2C. 0.25D. 0.3Correct Answer: A解析:Each of the integers in the first set could be combined with any from the second set, giving a total of 4 x 5 = 20 possible pairs. Of these the combinations that could give a sum of 23 are (5 + 18), and (9 + 14). This means that the probability of getting a sum of 23 is 2/20 = 1/103. A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?A. 0.75DB. 0.76DC. 0.765DD. 0.775DE. 0.805DCorrect Answer: C解析:If the price is reduced by 15 %, then the new price will be 0.85D. If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D4. All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two points in the array without passing through any other point ?A. 2B. 2√2C. 3D. √10E. √20Correct Answer: E解析:The longest line segment that can be drawn without passing through any dots other than those at the beginning and end of the segment, such a line could go from the middle dot in the top row to either the bottom left or right dot. In any case the segment will be the hypotenuse of a right triangle with sides 2 and 4. Using Pythagoras theorem the hypotenuse will be √(2 ² + 4 ² ) = √205. If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?A. 9B. 10C. 11D. 12E. 13Correct Answer: D解析:If the radius is 7, the circumference = 14π. The length of the arc is 100/360 of the circumference. Taking π as 22/7 we get. (100 x 14 x 22) / (360 x 7) which reduces to 440/ 36 = 12.22 (i.e. approx. 12)SAT数学重要公式14个SAT数学考试并不需要考生记忆数学公式,对于一些常用的简单公式都会列在试卷的前面。
sat数学考试试题
s a t数学考试试题 TTA standardization office【TTA 5AB- TTAK 08- TTA 2C】S A T数学真题精选1. If 2 x + 3 = 9, what is the value of 4 x – 3(A) 5? (B) 9 (C) 15 (D) 18? (E) 212. If 4(t + u) + 3 = 19, then t + u =(A) 3 (B) 4(C) 5(D) 6? (E) 73. In the xy-coordinate (坐标) plane above, the line contains the points (0,0) and (1,2). If line M (not shown) contains the point (0,0) and is perpendicular (垂直) to L, what is an equation of M(A) y = -1/2 x(B) y = -1/2 x + 1?(C) y = - x?(D) y = - x + 2?(E) y = -2x4. If K is divisible by 2,3, and 15, which of the following is also divisible by these numbers(A) K + 5 (B) K + 15(C) K + 20(D) K + 30(E) K + 455. There are 8 sections of seats in an auditorium. Each section contains at least 150 seats but not more than 200 seats. Which of the following could be the number of seats in this auditorium(A) 800 (B) 1,000(C) 1,100(D) 1,300? (E) 1,7006. If rsuv = 1 and rsum = 0, which of the following must be true(A) r < 1? (B) s < 1? (C) u= 2(D) r = 0(E) m = 07. The least integer of a set of consecutive integers (连续整数) is –126. if the sum of these integers is 127, how many integers are in this set(A) 126? (B) 127? (C) 252? (D) 253(E) 2548. A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 200 seniors, 300 juniors, and 400 sophomores who applied. Each senior’s name is placed in the lottery 3 times; each junior’s name, 2 time; and each sophomore’s name, 1 times. If a student’s name is chosen at random from the names in the lottery, what is the probability that a senior’s name will be chosen(A)1/8? (B) 2/9(C) 2/7? (D) 3/8? (E) 1/2Question #1: 50% of US college students live on campus. Out of all students living on campus, 40% are graduate students. What percentage of US students are graduate students living on campus?(A) 90% (B) 5% (C) 40% (D) 20% (E) 25%Question #2: In the figure below, MN is parallel with BC and AM/AB = 2/3. What is the ratio between the area of triangle AMN and the area of triangle ABC?(A) 5/9 (B) 2/3 (C) 4/9 (D) 1/2 (E) 2/9Question #3: If a2 + 3 is divisible by 7, which of the following values can be a?(A)7 (B)8 (C)9 (D)11 (E)4Question #4: What is the value of b, if x = 2 is a solution of equation x2 - b · x + 1 = 0?(A)1/2 (B)-1/2 (C)5/2 (D)-5/2 (E)2Question #5: Which value of x satisfies the inequality | 2x | < x + 1(A)-1/2 (B)1/2 (C)1 (D)-1 (E)2Question #6: If integers m > 2 and n > 2, how many (m, n) pairs satisfy the inequality m n < 100?(A)2 (B)3 (C)4 (D)5 (E)7Question #7: The US deer population increase is 50% every 20 years. How may times larger will the deer population be in 60 years(A) (B) (C) (D) (E)Question #8: Find the value of x if x + y = 13 and x - y = 5.(A)2 (B)3 (C)6 (D)9 (E)4Question #9:The number of medals won at a track and field championship is shown in the table above. What is the percentage of bronze medals won by UK out of all medals won by the 2 teams?(A)20% (B)% (C)% (D)% (E)10%Question #10: The edges of a cube are each 4 inches long. What is the surface area, in square inches, of this cube(A)66 (B)60 (C)76 (D)96 (E)65Question #1: The sum of the two solutions of the quadratic equation f(x) = 0 is equal to 1 and the product of the solutions is equal to -20. What are the solutions of the equation f(x) = 16 - x(a) x1 = 3 and x2 = -3 (b) x1 = 6 and x2 = -6(c) x1 = 5 and x2 = -4 (d) x1 = -5 and x2 = 4(e) x1 = 6 and x2 = 0Question #2: In the (x, y) coordinate plane, three lines have the equations: l1: y = ax + 1l2: y = bx + 2l3: y = cx + 3Which of the following may be values of a, b and c, if line l3 is perpendicular to both lines l1 and l2(a) a = -2, b = -2, c = .5 (b) a = -2, b = -2, c = 2(c) a = -2, b = -2, c = -2 (d) a = -2, b = 2, c = .5(e) a = 2, b = -2, c = 2Question #3: The management team of a company has 250 men and 125 women. If 200 of the managers have a master degree, and 100 of the managers with the master degree are women, how many of the managers are men without a master degree(a) 125 (b) 150 (c) 175 (d) 200 (e) 225Question #4: In the figure below, the area of square ABCD is equal to the sum of the areas of triangles ABE and DCE. If AB = 6, then CE =(a) 5 (b) 6 (c) 2 (d) 3 (e) 4Question #5:If α and β are the angles of the right triangle shown in the figure above, then sin2α + sin2β is equal to:(a) cos(β)(b) sin(β) (c) 1 (d) cos2(β) (e) -1Question #6: The average of numbers (a + 9) and (a - 1) is equal to b, where a and b are integers. The product of the same two integers is equal to (b - 1)2. What is the value of a(a) a = 9 (b) a = 1 (c) a = 0 (d) a = 5 (e) a = 11 Question #1: If f(x) = x and g(x) = √x, x≥ 0, what are the solutions of f(x) = g(x) (A) x = 1 (B)x1 = 1, x2 = -1(C)x1 = 1, x2 = 0 (D)x = 0(E)x = -1Question #2: What is the length of the arc AB in the figure below, if O is the center of the circle and triangle OAB is equilateralThe radius of the circle is 9(a) π(b) 2 ·π(c) 3 ·π(d) 4 ·π (e) π/2Question #3: What is the probability that someone that throws 2 dice gets a 5 and a6 Each dice has sides numbered from 1 to 6.(a)1/2 (b)1/6 (c)1/12 (d)1/18 (e)1/36Question #4: A cyclist bikes from town A to town B and back to town A in 3 hours. He bikes from A to B at a speed of 15 miles/hour while his return speed is 10miles/hour. What is the distance between the 2 towns?(a)11 miles (b)18 miles (c)15 miles (d)12 miles (e)10 miles Question #5: The volume of a cube-shaped glass C1 of edge a is equal to half the volume of a cylinder-shaped glass C2. The radius of C2 is equal to the edge of C1. What is the height of C2?(a)2·a /π (b)a / π (c)a / (2·π) (d)a / π (e)a + πQuestion #6: How many integers x are there such that 2x < 100, and at the same time the number 2x + 2 is an integer divisible by both 3 and 2?(a)1 (b)2 (c) 3 (d) 4 (e)5Question #7: sin(x)cos(x)(1 + tan2(x)) =(a)tan(x) + 1 (b)cos(x)(c)sin(x) (d)tan(x)(e)sin(x) + cos(x)Question #8: If 5xy = 210, and x and y are positive integers, each of the following could be the value of x + y except:(a)13 (b) 17 (c) 23 (d)15 (e)43Question #9: The average of the integers 24, 6, 12, x and y is 11. What is the value of the sum x + y(a)11 (b)17 (c)13 (d)15 (e) 9Question #10: The inequality |2x - 1| > 5 must be true in which one of the following casesI. x < -5 II. x > 7 III. x > 01.Three unit circles are arranged so that each touches the other two. Findthe radii of the two circles which touch all three.2.Find all real numbers x such that x + 1 = |x + 3| - |x - 1|.3.(1) Given x = (1 + 1/n)n, y = (1 + 1/n)n+1, show that x y = y x.(2) Show that 12 - 22 + 32 - 42 + ... + (-1)n+1n2 = (-1)n+1(1 + 2 + ... + n).4.All coefficients of the polynomial p(x) are non-negative and noneexceed p(0). If p(x) has degree n, show that the coefficient of x n+1 in p(x)2 is at most p(1)2/2.5.What is the maximum possible value for the sum of the absolutevalues of the differences between each pair of n non-negative realnumbers which do not exceed 1?6.AB is a diameter of a circle. X is a point on the circle other than themidpoint of the arc AB. BX meets the tangent at A at P, and AX meets the tangent at B at Q. Show that the line PQ, the tangent at X and the line AB are concurrent.7.Four points on a circle divide it into four arcs. The four midpoints forma quadrilateral. Show that its diagonals are perpendicular.8.Find the smallest positive integer b for which 7 + 7b + 7b2 is a fourthpower.9.Show that there are no positive integers m, n such that 4m(m+1) =n(n+1).10.ABCD is a convex quadrilateral with area 1. The lines AD, BC meet atX. The midpoints of the diagonals AC and BD are Y and Z. Find the area of the triangle XYZ.11. A square has tens digit 7. What is the units digit?12.Find all ordered triples (x, y, z) of real numbers which satisfy thefollowing system of equations:xy = z - x - yxz = y - x - zyz = x - y - z。
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SAT真题做SAT免费的手机APP软件,随时做题随时测分,豌豆荚、应用汇、豌豆荚等应用商店搜Satonline就可下载啦或者去官网Satonline下载1. Some fans feel that sports events are ______ only when the competitors are of equal ability, making the outcome of the game ______.A. successf ul…assuredB. boring…questionableC. dull…foreseenD. interesting…predictableE. exciting…uncertain2. Alfred Schnittke's musical compositions are ______: phrases are clipped, broken into sections, and split apart by long rests.A. garnishedB. improvisationalC. fragmentedD. cautiousE. uniform3. The consumer advocate claimed that while drug manufacturers ______ the supposed advantages of their proprietary brands, generic versions of the same medications are often equally ______.A. tout…efficaciousB. research…innocuousC. market…prohibitiveD. laud…counterproductiveE. extract…prescriptive4. Latoya's _____ is shown by her ability to be ______: she can see her own faults more clearly than anyone else can.A. perceptiveness…self-centeredB. objectivit y…restrictiveC. cynicism…self-destructiveD. open-mindedness…complacentE. insightfulness…self-critical5. The bearded dragon lizard is a voracious eater, so ______ that it will consume as many insects as possible.A. abstemiousB. cannibalisticC. slovenlyD. insatiableE. unpalatable6. Because drummer Tony Williams paved the way for later jazz-fusion musicians, he is considered a ______ of that style.A. connoisseurB. revivalistC. beneficiaryD. disparagerE. progenitor7. The politician's speech to the crowd was composed of nothing but ______, a bitter railing against the party's opponents.A. digressionsB. diatribesC. platitudesD. machinationsE. acclamations8. Favoring economy of expression in writing, the professor urged students towarda ______ rather than an ______ prose style.A. spare…ornateB. terse…opinionatedC. personal…academicD. baroque…embellishedE. repetitive…intricateSECTION 7The passages below are followed by questions based on their content; questions following a pair of related passages may also be based on the relationship between the paired passages. Answer the questions on the basis of what is stated or implied in the passages and in any introductory material that may be provided.Questions 9-12 are based on the following passages.Passage 1Food has always been considered one of the most salient markers of cultural traditions. When I was a small child, food was the only thing that helped identify my family as Filipino American. We ate pansit lug-lug (a noodle dish) and my father put pads (salty fish sauce) on everything. However, even this connection lessened as I grew older. As my parents became more acculturated, we ate less typically Filipino food. When I was twelve, my mother took cooking classes and learned to make French and Italian dishes. When I was in high school, we ate chicken marsala andshrimp fra diablo more often than Filipino dishes like pansit lug-lug.Passage 2Jean Anthelme Brillat-Savarin—who in 1825 confidently announced, "Tell me what you eat, and I will tell you who you are"—would have no trouble describing cultural identities of the United States. Our food reveals us as tolerant adventurers who do not feel constrained by tradition. We "play with our food" far more readily than we preserve the culinary rules of our varied ancestors. Americans have no single national cuisine. What unites American eaters culturally is how we eat, not what we eat. As eaters, Americans mingle the culinary traditions of many regions and cultures. We are multiethnic eaters.9. Which of the following statements best captures the relationship between the two passages(A) Passage 1 notes problems for which Passage 2 proposes solutions.(B) Passage 1 presents claims that are debunked by Passage 2.(C) Passage 2 furnishes a larger context for the experiences described in Passage I.(D) Passage 2 provides an update of the situation depicted in Passage 1.(E) Passage 2 uses material presented in Passage 1to correct a popular misconception.10. The author of Passage 2 would most likely regard the mother's willingness to "make French and Italian dishes" (lines 9-10, Passage 1) as(A) laughably pretentious(B) understandably conservative(C) typically American(D) a regrettable compromise(E) a surprising attitude11. The two passages differ in their discussions of food primarily in that Passage 1(A) considers specific dishes eaten by particular people, whereas Passage 2 comments on a culture's general attitude toward eating(B) contrasts the cuisines of different cultures, whereas Passage 2 emphasize culinary practices common to all cultures(C) presents an abstract theory of food, whereas Passage 2 offers a historical analysis of consumption(D) emphasizes the role of nostalgia in food preferences, whereas Passage 2 rejects that approach as overly sentimental(E) outlines some popular choices in cuisine,whereas Passage 2 underscores those that are more unusual12. Unlike the author of Passage 2, the author of Passage 1 makes significant useof(A) direct quotation(B) sociological analysis(C) hypothetical assumptions(D) historical sources(E) personal experienceQuestions 13-24 are based on the following passages.The passages below discuss the possibility of locating intelligent life on other planets. Passage 1 has been adapted from a 1999 book on the history of the universe. Passage 2 was excerpted from a 2000 book on the scientific quest for extraterrestrial life.Passage 1Generations of science-fiction movies have conditioned us to consider bug-eyed monsters, large-brained intellectual humanoids, and other rather sophisticated extraterrestrial Line creatures as typical examples of life outside Earth. The reality, however, is that finding any kind of life at all, even something as simple as bacteria, would be one of the most exciting discoveries ever made.The consensus within the scientific community seems to be that we eventually will find not only life in other parts of10 the galaxy but also intelligent and technologically advanced life. I have to say that 1 disagree. While 1 believe we will find other forms of life in other solar systems (if not in our own), I also feel it is extremely unlikely that a large number of advanced technological civilizations are out15 there, waiting to be discovered. The most succinct support for my view comes from Nobel laureate physicist Enrico Fermi, the man who ran the first nuclear reaction ever controlled by human beings. Confronted at a 1950 luncheon with scientific arguments for the ubiquity of20 technologically advanced civilizations, he supposedly said, "So where is everybody"This so-called Fermi Paradox embodies a simple logic. Human beings have had modern science only a few hundred years, and already we have moved into space. It is not 25 hard to imagine that in a few hundred more years we will be a starfaring people, colonizing other systems. Fermi's argument maintains that it is extremely unlikely that many other civilizations discovered science at exactly the same time we did. Had they acquired science even a thousand30 years earlier than we. they now could be so much more advanced that they would already be colonizing our solar system.If, on the other hand, they are a thousand years behind us, we will likely arrive at their home planet before they35 even begin sending us radio signals. Technologicaladvances build upon each other, increasing technological abilities faster than most people anticipate. Imagine, for example, how astounded even a greatseventeenth-century scientist like Isaac Newton would be by our current global 40 communication system, were he alive today. Where are those highly developed extraterrestrial civilizations so dear to the hearts of science-fiction writers Their existence is far from a foregone conclusion.Passage 2Although posed in the most casual of circumstances,45 the Fermi Paradox has reverberated through the decades and has at times threatened to destroy the credibility of those scientists seriously engaged in the Search for Extraterrestrial Intelligence (SET!) research program.One possible answer to Fermi's question ("If there are50 extraterrestrials, where are they") is that extraterrestrials have in fact often visited Earth, and continue to do so. This is the answer of those who believe in the existence of unidentified flying objects, or UFO's. But few scientists, even those engaged in SET1, take the UFO claims55 seriously. "You won't find anyone around here who believes in UFO's." says Frank Drake, a well-known SETI scientist. If one discounts the UFO claims, yet still believes that there are many technological civilizations in the galaxy, why have they not visited us Drake's answer60 is straightforward: "High-speed interstellar travel is so demanding of resources and so hazardous that intelligent civilizations don't attempt it." And why should they attempt it, when radio communication can supply all the information they might want?65 At first glance, Drake's argument seems very persuasive. The distances between stars are truly immense. To get from Earth to the nearest star and back, traveling at 99 percent of the speed of light, would take 8 years. And SETI researchers have shown that, to accelerate70 a spacecraft to such a speed, to bring it to a stop, and to repeat the process in the reverse direction, would take almost unimaginable amounts of energy. Astronomer Ben Zuckerman challenges Drake's notion that technological beings would be satisfied with75 radio communication. "Drake's implicit assumption is that the only thing we're going to care about is intelligent life. But what if we have an interest in simpler life-forms If you turn the picture around and you have some advanced extraterrestrials looking at the Earth, until80 the last hundred years there was no evidence of intelligent life but for billions of years before that they could have deduced that this was a very unusual world and that there were probably living creatures on it. They would have had billions of years to come investigate." Zuckerman contends85 that the reason extraterrestrials haven't visited us is that so few exist.13. Which statement about the Fermi Paradox is supported by both passages(A) It articulates a crucial question for those interested in the existence ofextraterrestrials.(B) It clarifies the astronomical conditions required to sustain life on other planets.(C) It reveals the limitations of traditional ideas about the pace of technological change.(D) It demonstrates the scientific community's fascination with the concept of interstellar travel.(E) It suggests that advanced extraterrestrial civilizations may be uninterested in our culture.14. Which statement best describes a significant difference between the two passages(A) Passage 1 analyzes a literary form, while Passage 2 argues that literature has little bearing on science.(B) Passage 1 presents an argument, while Passage 2 surveys current opinion in a debate.(C) Passage 1 concludes by rejecting the Fermi Paradox, while Passage 2 opens by embracing it.(D) Passage 1 describes a phenomenon, while Passage 2 details a belief system that would reject such a phenomenon.(E) Passage I defends a viewpoint, while Passage 2 questions that viewpoint's place in scientific research.15. The author of Passage 1 mentions '"monsters," "humanoids," and "creatures" (lines 2-4) primarily to(A) question the literary value of science fiction(B) contrast fictional notions with a scientific perspective(C) offer examples of the human fear of the unknown(D) criticize science fiction for being unduly alarmist(E) suggest that scientific research has been influenced by science fiction16. In line 17, "ran" most nearly means(A) fled(B) accumulated(C) traversed(D) managed(E) incurred17. Passage 1 suggests that the Fermi Paradox depends most directly on which assumption(A) Extraterrestrial civilizations may not wish to be discovered by human beings. ?(B) Extraterrestrial civilizations would most likely have discovered technology at about the same time human beings discovered it.(C) Extraterrestrial technology would develop at roughly the same rate as humantechnology.(D) Extraterrestrial civilizations would inevitably use technology for aggressive ends.(E) Science is a more powerful form of human knowledge than are art and literature.18. The claim made in Passage 1 that a "consensus" exists (lines 8-11) would most likely be interpreted by the author of Passage 2 as(A) evidence of compromise in the scientific community(B) an attack on SETI researchers(C) support for Fermi's analysis(D) a revelation of an unexpected truth(E) an oversimplification of a complex debate19. The author of Passage 1 mentions Isaac Newton (lines 37-40) in order to(A) emphasize the rapid rate of technological innovation(B) acknowledge (he impact of a profound thinker(C) criticize the inflexibility of Newton's contemporaries(D) speculate about New ton's influence on current research(E) highlight the value of scientific curiosity20. In lines 44-48, the author of Passage 2 indicates that the Fermi Paradox has been(A) thoroughly misunderstood(B) surprisingly influential(C) overwhelmingly perplexing(D) intermittently popular(E) frequently misquoted21. How would Frank Drake (line 56, Passage 2) most likely respond to the statement by the author of Passage 1 about humans "colonizing other systems" (line 26)(A) The means to accomplish such a project may be beyond our reach.(B) Interstellar colonization is as morally problematic as was colonization on Earth.(C) We would do better to study indigenous life-forms rather than search for extraterrestrial creatures.(D) Humans would be wise to consider that they themselves arc subject to colonization.(E) Funding for such an undertaking would pose a thorny political issue for any government.22. In line 57, "claims" most nearly means(A) demands(B) assertions(C) rights(D) territories(E) compensations23. In line 63, "radio communication" is cited as a(A) complex interaction(B) technological relic(C) common occurrence(D) practical alternative(E) dramatic advance24. Both the author of Passage 1 and Ben Zuckerman (line 73, Passage 2) imply that researchers seeking life on another planet should focus on which of the following(A) Seasonal variations in color due to plant life(B) Evidence of the most basic forms of life(C) Signs of artificially created structures(D) Signals that might be radio communications(E) Changes in geological surface featuresQuestions 7-19 are based on the following passage.The following passage is from a 1979 essay by a Native American writer.An understanding of any national literature depends very much on an awareness of the larger cultural context. Without some knowledge of language, of history, of inflection, of the position of the storyteller within the group, without a hint of the social roles played by males and females in the culture, without a sense of the society's humor or priorities—without such knowledge, how can we, as reader or listener, penetrate to the core of meaning in an expression of artThe difficulty of gaining access to the literature of a different culture may be illustrated by an exemplary folktale (in translation) from the Tanaina (Athabaskan) culture of south-central Alaska. It would typically be told to a general audience within the society, including the full range of ages from young children to grandparents; it would be recounted with gesticulation and exaggeration by a performance specialist. It would be expected to have different meanings to the various categories of listeners— instructive, entertaining, reinforcing, or all three. Here is a brief version of the story:"Once upon a time there was a porcupine woman who decided to do some hunting .on the far side of the river. She went to the bank, where she met a beaver.'Hello,' she said to him. T need to do some hunting over there. Will you ride me across on your back''I'd be glad to,' replied the beaver. 'Hop on.' So the porcupine woman climbed on his back, and he started swimming for the other side. When he had almost made it, the porcupine woman said, 'Oh my! I've forgotten to bring my sack. I'll need to go back to the other bank and get it.''All right.' said the beaver, and swam back. He was panting while the porcupine woman went to get her sack.'Okay,' she said. 'Let's go.' So they started across again. The beaver was swimming much more slowly. When they had practically reached the other side, she said, 'Oh my! I've forgotten to bring my needle. We'll have to go back and get it.' This time the beaver didn't say anything—he didn't have enough breath! But he turned around and pulled them back to the shore and nearly passed out while she got her needle.'Hurry up, now." the porcupine woman said as she climbed back on his back. He could hardly keep his nose above water, but he had almost made it to the far bank again when she said, 'Oh my! I've forgotten my staff. We'll have to . . . .'Before she had finished her sentence the beaver had flipped over in the water and dragged himself onto the bank, where he lay half dead. The porcupine woman managed to make the shore too, and climbed up onto a bear path. When she had caught her breath, she turned on the beaver and quilted him to death."The Tanaina live in an environment that could euphemistically be described as "difficult." Survival, especially in the wild, is always precarious. Further, they were, in the precontact period, a nonlilcratc people. Oral communication was therefore the method of cultural transmission, legal understanding, and meaningful communication. It is also necessary lo know that a "staff." as mentioned in the story, fund ions as both a walking stick and a weapon, and that in the Tanaina symbol system, porcupines were supposed to be rather ponderous, dull-witted creatures, and beavers were thought to be energetic and industrious but overly spontaneous and erratic. For the reader armed with these data, the story becomes more accessible as a lesson in contract law, with several additional minor themes. A culturally attuned listener would notice, for instance, that when the porcupine woman proposed passage to the beaver, he agreed without any stipulations or clarifications of the terms. He gave a basically open-ended agreement—made a contract—and hence the porcupine woman was perfectly within her rights both in demanding that he return three times and in quilting him to death when he reneged.The story is not. however, without its moral for the porcupine women of this world. Her stated aim is to go hunting, and yet she sets out without the three essentials of that endeavor: a sack in which to carry home her game, a needle with which to sew up the intestines, and, most important, an implement with which to hunt and defend herself. True, she had an open-ended contract, but where does she wind up at the conclusion of the story Sitting, exhausted, quills used up, weaponless, and not only on the wrong side of the river from her home but on a bear path! The hunter is about to become the hunted, and all because of her own improvidence.7. In the opening paragraph, the author assumes that the "meaning" (line 8) is(A) culturally determined(B) intensely personal(C) essentially moralistic(D) permanently inscrutable(E) uniquely artistic8. In the context of the passage, which "expression of art" (line 9) would be the most difficult to interpret(A) A contemporary play written by a prolific play wright(B) A fable from a nonliterate society with which anthropologists are very familiar(C) A single text produced by a previously unknown society(D) A sitcom from the early days of television(E) A single myth from an ancient culture with a well-documented mythological structure9. How does the author respond to the question posed in lines 3-9(A) By proposing an innovative strategy(B) By confirming the futility of such analysis(C) By describing a personal experience with the problem(D) By illustrating his point within a particular context(E) By documenting a traditional approach to the problem10. The author discusses Tanaina culture from the perspective of(A) a concerned parent(B) a bewildered visitor(C) a performance artist(D) an informed outsider(E) an indignant reader11. The sentence in which "difficult" appears (lines 54-55) indicates that the author considers the word to be(A) an exaggeration(B) an estimate(C) an understatement(D) a contradiction(E) a preconception12. In relation to the passage, the statements in lines 59-65 serve a function most similar to which of the following items(A) A menu in a restaurant(B) The key or legend to a map(C) A department store directory(D) The outline of a term paper(E) An illustration of a fairytale13. The author's analysis of the folktale offers which insight into Tanaina beliefs(A) A fanciful story is most suitable for an audience of children.(B) A verbal exchange can establish a binding contract.(C) A person who behaves impulsively is most often sincere.(D) A shared task should be divided fairly between two people.(E) A painstaking plan may nonetheless fail to anticipate all problems.14. The "porcupine women of this world" (lines 76-77) are best described as people who(A) plan inadequately for their own needs(B) postpone necessary work in favor of leisure(C) depend heavily upon help from their close friends(D) return repeatedly to their favorite places(E) flee quickly from any laborious task15. The final paragraph (lines 76-87) suggests that the bear path mentioned in lines 51-52 is significant because it(A) foreshadows the arrival of a benevolent character from Tanaina folklore(B) suggests an alarming alternative to crossing the river(C) marks the boundary of the beaver's natural surroundings(D) explains the porcupine woman's fear of unfamiliar territory(E) poses a new peril for the porcupine woman16. In lines 83-87, the description of the porcupine woman emphasizes the discrepancy between her(A) social position and her private feelings(B) physical wealth and her moral poverty(C) hostile action and her ultimate gratitude(D) original goal and her actual situation(E) grandiose ambition and her real moods17. As a commentary on legal relations, the folktale is best described as(A) an example of traditional practices(B) an outline for social behavior(C) a warning about ill-conceived assent(D) a criticism of obsolete custom(E) a parody of actual situation18. The author's attitude toward the Tanaina folktale is best described as(A) excitement at an unexpected discovery(B) admiration of the storyteller's performance(C) appreciation of the folktale as a means of communicating values(D) enthusiasm for the Tanaina culture's concept of legality(E) enjoyment of the comical aspects of the folktale19. Which statement is most consistent with the author's argument(A) Translating a literary text requires formal lin?guistic training(B) Tales transmitted by a nonliterate society elude transcription in later eras.(C) Listening to a skilled storyteller is more instructive than entertaining.(D) Simple enjoyment of a tale is incompatible with scholarly analysis.(E) To read a text is not necessarily to understand it.。