2017-2018年度美国数学大联盟杯赛(中国赛区)初赛

2017-2018年度美国数学大联盟杯赛(中国赛区)初赛
2017-2018年度美国数学大联盟杯赛(中国赛区)初赛

AMC10美国数学竞赛A卷附中文翻译和答案之欧阳学创编

2011AMC10美国数学竞赛A卷时间:2021.03.03 创作:欧阳学 1. A cell phone plan costs $20 each month, plus 5¢per text message sent, plus 10¢ for each minute used over 30 hours. In January Michelle sent 100 text messages and talked for 30.5 hours. How much did she have to pay? (A) $24.00(B) $24.50(C) $25.50(D) $28.00(E) $30.00 2. A small bottle of shampoo can hold 35 milliliters of shampoo, Whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy? (A) 11(B) 12(C) 13(D) 14(E) 15 3. Suppose [a b] denotes the average of a and b, and {a b c} denotes the average of a, b, and c. What is {{1 1 0} [0 1] 0}? (A)(B)(C)(D)(E) 4. Let X and Y be the following sums of arithmetic sequences: X= 10 + 12 + 14 + …+ 100. Y= 12 + 14 + 16 + …+ 102. What is the value of ?

2011AMC10美国数学竞赛A卷附中文翻译和答案

2011AMC10美国数学竞赛A卷 1. A cell phone plan costs $20 each month, plus 5¢ per text message sent, plus 10¢ for each minute used over 30 hours. In January Michelle sent 100 text messages and talked for 30.5 hours. How much did she have to pay? (A) $24.00 (B) $24.50 (C) $25.50 (D) $28.00 (E) $30.00 2. A small bottle of shampoo can hold 35 milliliters of shampoo, Whereas a large bottle can hold 500 milliliters of shampoo. Jasmine wants to buy the minimum number of small bottles necessary to completely fill a large bottle. How many bottles must she buy? (A) 11 (B) 12 (C) 13 (D) 14 (E) 15 3. Suppose [a b] denotes the average of a and b, and {a b c} denotes the average of a, b, and c. What is {{1 1 0} [0 1] 0}? (A) 2 9(B)5 18 (C)1 3 (D) 7 18 (E) 2 3 4. Let X and Y be the following sums of arithmetic sequences: X= 10 + 12 + 14 + …+ 100. Y= 12 + 14 + 16 + …+ 102. What is the value of Y X ?

2018年美国数学竞赛 AMC 试题

2018 AIME I Problems Problem 1 Let be the number of ordered pairs of integers with and such that the polynomial can be factored into the product of two (not necessarily distinct) linear factors with integer coefficients. Find the remainder when is divided by . Problem 2 The number can be written in base as , can be written in base as , and can be written in base as , where . Find the base- representation of . Problem 3 Kathy has red cards and green cards. She shuffles the cards and lays out of the cards in a row in a random order. She will be happy if and only if all the red cards laid out are adjacent and all the green cards laid out are adjacent. For example, card orders RRGGG, GGGGR, or RRRRR will make Kathy happy, but RRRGR will not. The probability that Kathy will be happy is , where and are relatively prime positive integers. Find . Problem 4 In and . Point lies strictly between and on and point lies strictly between and on so that . Then can be expressed in the form , where and are relatively prime positive integers. Find . Problem 5 For each ordered pair of real numbers satisfying there is a real number such that

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2018年美国“数学大联盟杯赛”(中国赛区)初赛五年级试卷(1)

2017-2018年度美国“数学大联盟杯赛”(中国赛区)初赛 (五年级) (初赛时间:2017年11月26日,考试时间90分钟,总分200分) 学生诚信协议:考试期间,我确定没有就所涉及的问题或结论,与任何人、用任何方式交流或讨论, 我确定我所填写的答案均为我个人独立完成的成果,否则愿接受本次成绩无效的处罚。 请在装订线内签名表示你同意遵守以上规定。 考前注意事项: 1. 本试卷是五年级试卷,请确保和你的参赛年级一致; 2. 本试卷共4页(正反面都有试题),请检查是否有空白页,页数是否齐全; 3. 请确保你已经拿到以下材料: 本试卷(共4页,正反面都有试题)、答题卡、答题卡使用说明、英文词汇手册、 草稿纸。考试完毕,请务必将英文词汇手册带回家,上面有如何查询初赛成绩、 及如何参加复赛的说明。其他材料均不能带走,请留在原地。 选择题:每小题5分,答对加5分,答错不扣分,共200分,答案请填涂在答题卡上。 1. The smallest possible sum of two different prime numbers is A) 3 B) 4 C) 5 D) 6 2. The greatest common factor of two numbers is 3. The product of these two numbers must be divisible by A) 6 B) 9 C) 12 D) 18 3. The sum of 5 consecutive one-digit integers is at most A) 15 B) 25 C) 35 D) 45 4. How many two-digit multiples of 10 are also multiples of 12? A) 4 B) 3 C) 2 D) 1 5. I have read exactly 1 3 of the total number of chapters in my 120-page book. If each chapter has the same whole number of pages, then the total number of chapters I have left could be A) 16 B) 24 C) 32 D) 50 6. What is the greatest odd factor of 44 × 55 × 66? A) 36 B) 55 C) 35 × 55 D) 36 × 55 7. What is the sum of the factors of the prime number 2017? A) 2016 B) 2017 C) 2018 D) 2019 8. Lynn ran in 6 times as many races as the number of races she won. How many of her 126 races did Lynn not win? A) 21 B) 90 C) 96 D) 105 9. The least common multiple of 8 and 12 is the greatest common factor of 120 and A) 80 B) 124 C) 144 D) 180 10. January has the greatest possible number of Saturdays when January 1 occurs on any of the following days of the week except A) Thursday B) Friday C) Saturday D) Sunday 11. The number that is 10% of 1000 is 10 more than 10% of A) 90 B) 100 C) 900 D) 990 12. The sum of 16 fours has the same value as the product of ? fours. A) 2 B) 3 C) 4 D) 16 13. Of the following, which is the sum of two consecutive integers? A) 111 111 B) 222 222 C) 444 444 D) 888 888 14. Abe drove for 2 hours at 30 km/hr. and for 3 hours at 50 km/hr. What was Abe’s average speed over the 5 hours? A) 35 km/hr. B) 40 km/hr. C) 42 km/hr. D) 45 km/hr. 15. My broken watch runs twice as fast as it should. If my watch first broke at 6:15 P.M., what time was displayed on my watch 65 minutes later? A) 7:20 P.M. B) 7:25 P.M. C) 8:20 P.M. D) 8:25 P.M. 16. (2018 × 2017) + (2018 × 1) = A) 20172 B) 20182 C) 20183 D) (2018 + 2017)2 17. A prized bird lays 2, 3, or 4 eggs each day. If the bird laid 17 eggs in 1 week, on at most how many days that week did the bird lay exactly 2 eggs? A) 2 B) 3 C) 4 D) 5 18. Of the following, which could be the perimeter of a rectangle whose side-lengths, in cm, are prime numbers? A) 10 cm B) 22 cm C) 34 cm D) 58 cm 19. The average of all possible total values of a 4-coin stack of nickels and dimes (containing at least one of each coin) is A) 20¢ B) 30¢ C) 40¢ D) 60¢ 20. The diameter of Ann’s drum i s 40 cm more than the radius. What is half the circumference of the drum? A) 120π cm B) 80π cm C) 60π cm D) 40π cm 21. Of the following, which expression has the greatest number of factors that are multiples of 2018? A) 2018 × 12 B) 20182 C) 20192 D) 20192019 第1页,共4页 第2页,共4页

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美国职业棒球联赛MLB介绍 美国职棒大联盟介绍 美国职棒大联盟(Major League Baseball,简称MLB),是北美地区最高水平的职业棒球联赛。 1903年由国家联盟和美国联盟共同成立,是美国四大职业体育联盟之一。美国联盟使用指定打击的规则,国家联盟则没有使用。 棒球是美国发展最早的职业运动,第一个职业联盟(国家协会,National Association,1871年1875年)成立于1871年,但由于草创时期问题丛生,五年后由现今的国家联盟接手。 国家联盟将经营球队的权力全部收回资方所有,因此球员的权利没有任何保障,国联的垄断市场造成不断有挑战国联的联盟诞生,这些新联盟吸收了被国联开除的球员和教练,引进更多新的创意以吸引球迷。 在大联盟架构稳定以前,共有四个短命的职业联盟,成立的先后依序为美国协会(American Association,1882年1891年)、联合协会(Union Association,1884年)、球员联盟(Player League,1890年)和联邦联盟(Federal League,1914年1915年)。 大联盟的另一支柱─美国联盟则成立于1901年,由于国家联盟经营不善,由十二队缩编为八队,分别是:波士顿食豆人队(Boston Beaneaters,亚特兰大勇士队前身)、布鲁克林超霸队(Brooklyn Superbas, 洛杉矶道奇队前身)、芝加哥孤儿队(Chicago Orphans,芝加哥小熊队前身)、辛辛那提红队、纽约巨人队(New York Giants,旧金山巨人队前身)、费城费城人队、匹兹堡海盗队和圣路易红雀队。大量裁减球员和教练的结果,使得另一联盟开始有了生存空间,美联吸收了这些被释出的资源也成立了八支球队, 其中五队设在没有国联球队的城市,分别是巴尔的摩金莺

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2015-2016年度美国“数学大联盟杯赛”(中国赛区)初赛 (五年级) (初赛时间:2015年11月14日,考试时间90分钟,总分200分) 学生诚信协议:考试期间,我确定没有就所涉及的问题或结论,与任何人、用任何方式交流或讨论, 我确定以下的答案均为我个人独立完成的成果,否则愿接受本次成绩无效的处罚。 如果您同意遵守以上协议请在装订线内签名 选择题:每小题5分,答对加5分,答错不扣分,共200分,答案请填涂在答题卡上。 1. A 6 by 6 square has the same area as a 4 by ? rectangle. A) 3 B) 6 C) 8 D) 9 2.Every prime has exactly ? positive divisors. A) 1 B) 2 C) 3 D) 4 or more 3.If I answered 34 out of 40 questions on my math test correctly, I answered ? % of the questions correctly. A) 75 B) 80 C) 85 D) 90 4.120 ÷ 3 ÷ 4 × 12 = A) 1 B) 10 C) 12 D) 120 5.10 × 20 × 30 × 40 = 24 ×? A) 1000 B) 10 000 C) 100 000 D) 1000 000 6.One of my boxes contains 1 pencil and the others each contain 5 pencils. If there are 101 pencils in my boxes, how many boxes do I have? A) 19 B) 20 C) 21 D) 22 7.An electrical company imports 2016 light bulbs. Unfortunately, 25% of those are damaged. How many light bulbs are not damaged? A) 25 B) 504 C) 1512 D) 2016 8.50 × (16 + 24) is the square of A) -40 B) -4 C) 4 D) 80 9.Which of the following numbers has exactly 3 positive divisors? A) 49 B) 56 C) 69 D) 100 10.Ten people stand in a line. Counting from the left, Jerry stands at the 5th position. Counting from the right, which position is he at? A) 4 B) 5 C) 6 D) 7 11.On a teamwork project, Jack contributed 2/7 of the total amount of work, Jill contributed 1/4 of the work, Pat contributed 1/5 of the work, and Matt contributed the rest. Who contributed the most toward this project? A) Jack B) Jill C) Pat D) Matt 12.Which of the following numbers is a factor of 2016? A) 5 B) 11 C) 48 D) 99 13.2 × 4 × 8 × 16 × 32 × 64 = A) 210B) 215C) 221D) 2120 14.On a game show, Al won four times as much as Bob, and Bob won four times as much as Cy. If Al won $1536, how much did Al, Bob, and Cy win together? A) $96 B) $384 C) $1920 D) $2016 15.The sum of two composites cannot be A) odd B) even C) 11 D) 17 16.If a and b are positive integers such that a/b = 5/7, then a + b is A) 12 B) 24 C) 36 D) not able to be determined 17.What is the greatest odd factor of the number of hours in all the days of the year 2015? A) 3 B) 365 C) 1095 D) 3285 18.If the current month is February, what month will it be 1 199 999 months from now? A) January B) February C) March D) April 19.Two angles are complementary. One of these angles is 36° less than the other. What is the measure of the larger angle? A) 36°B) 54°C) 63°D) 72° 20.(The square root of 16) + (the cube root of 64) + (the 4th root of 256) = A) 12 B) 24 C) 32 D) 64 21.In ?ABC, m∠A–m∠B = m∠B–m∠C. What is the degree measure of ∠B? A) 30 B) 60 C) 90 D) 120 22.For every 3 math books I bought, I bought 2 biology books. I bought 55 books in all. How many of those are math books? A) 11 B) 22 C) 33 D) 44 23.John wrote a number whose digits consists entirely of 1s. This number was a composite number. His number could contain exactly ? 1s. A) 17 B) 19 C) 29 D) 32 24.Weird Town uses three types of currencies: Cons, Flegs, and Sels. If 3 Sels = 9 Cons and 2 Cons = 4 Flegs, then 5 Sels = ? Flegs. A) 12 B) 24 C) 30 D) 36 第1页,共4页

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棒球讲稿

棒球讲稿

纽约扬基棒球队 【球队简介】 纽约扬基队(New York Yankees,缩写为NYY),是美国职业棒球大联盟中隶属于美国联盟东区的棒球队伍之一,其主场位于美国纽约布朗斯区。纽约扬基棒球队至今已有100多年历史,该队在39次美国职业棒球大联盟联赛中获得26次冠军。在美国所有的职业棒球队中,扬基队是唯一每个位置均有球员入选棒球名人堂的球队,和英格兰足球超级联赛曼联俱乐部一起被认为是世界最著名的体育俱乐部。 扬基队有史以来最伟大的球员之一迪马乔,在1954年迎娶了电影明星玛莉莲·梦露;扬基的主场从来不缺娱乐大腕,如你所看到的“绝望的主妇”伊娃·朗格莉亚是扬基的忠实粉丝——这可以从侧面说明扬基是怎样的一支

堂球队 美国职业棒球组织分为大联盟和小联盟。大联盟又分为美国联盟(AL)和国家联盟(N L),美联总共十四队,扬基队属于美联东区组;国联里面亦分三组,总共十六队。每年美联和国联赛区冠军争夺总冠军。 美国大联盟 美国大联盟球队大部分都有自己的小联盟球队。小联盟里面又分为三级,AAA级是最高级,A级最低。 北京时间7月8日新加坡消息,国际奥委会第117次全会当天投票决定,由于棒球和垒球没有获得绝大多数委员的赞同票而将被淘汰出2012年奥运会。 除棒球和垒球之外的其他26个奥运大项都在投票中顺利通过半数以上的认同,将继续出现在2012 年伦敦奥运会中。棒、垒球本次出局也是自1936年将马球排除出奥运会后首次遭到削减的奥运项目。 为了控制奥运会日趋扩大的规模,2002年国际奥委会墨西哥城全会决定将夏季奥运会的项目设立为28个大项和301个小项的封顶,参赛队员限制在15000人。会上,国际奥委会主席罗格提议取消棒球、垒球和现代五项,增加高尔夫和七人制橄榄球,遭到国际奥委会委员的抵制并没有进行投票。国际垒球联合会主席波特对结果相当惊讶:“这是墨西哥城会议的后续,他们本想在2002年就把我们踢出局,三年 过去了,他们终于达成愿望。”国际奥委会主席罗格对棒球和垒球项目进行安抚:“毋庸置疑,从事这两个运动项目的人士将非常失望,但是这样的结果并不表示他们永远没有机会再进入奥运大家庭。北京奥运会上,棒球和垒球仍然将出现在奥运赛场上,它们依然是奥林匹克项目,还有可能进入2012年以后的奥运会。” 又讯:新加坡8日消息,国际奥委会主席罗格宣布,由于在IOC第117次全会的投票中均未能达到半数以上的通过票,高尔夫、壁球、空手道、七人制橄榄球和轮滑无一项将成为2012年伦敦奥运会的正式比赛项目,其中最有希望的壁球和空手道在最后一轮投票中双双遭否决。

美国四大职业体育联盟

美国四大职业体育联盟 一、美国的第一运动—橄榄球NFL 国家美式橄榄球大联盟是National Football League,简称NFL。是美国一个庞大的橄榄球联盟。联盟中共有32支队伍,被分为两大联合会:美国橄榄球联合会(American Football Conference ,简称AFC,美联)和民族橄榄球联合会(National Football Conference ,简称NFC,国联)。每个联合会有16支队伍,又分成4个分赛区:东部、南部、西部和北部。每个分赛区有4支队伍。

每年的NFL决赛,即超级碗,一般在1月最后一个或2月第一个星期天举行,那一天称为超级碗星期天(Super Bowl Sunday)。这一天很多其他的重要活动或者其他比赛都会对其进行避让(比如温哥华冬奥会曾经为此更改开幕式的日期)。 美国人向来将超级碗视为全国的狂欢日,甚至被称为非正式的国庆日。超级碗多年来都是全美收视率最高的电视节目,并逐渐成为一个非官方的全国性节日。另外,超级碗星期天是美国单日食品消耗量第二高的日子,仅次于感恩节。 根据权威财经杂志《福布斯》最新公布的数据,超级碗(就那一场决赛)的商业价值被估价4.2亿美元,继续稳坐最具商业价值的体育赛事宝座,其价值比奥运会(2.3亿美元)和世界杯(1.2亿美元)相加还要高。 二、美国职业棒球大联盟(Major League Baseball) 美国职业棒球大联盟(Major League Baseball,MLB)现有球队30支,分为国家联盟和美国联盟,其中国家联盟有16支球队,美国联盟14支,而2个联盟下又各分为东部赛区,中部赛区和西部赛区3个赛区。 职棒大联盟的全部30支球队中,有1支来自邻国加拿大(多伦多蓝鸟队),其余29支悉数为本土球队。MLB是世界水平最高的棒球比赛联盟。棒球是世界最难运动之一,美国第二运动,MLB无论在观众人数,商业价值来说,都排在NFL之后。

2016-2017年度美国“数学大联盟杯赛”(中国赛区)初赛(五年级)

2016-2017年度美国“数学大联盟杯赛”(中国赛区)初赛 (五年级) 1.Which of the has the greatest value? A) 2017 B) 2017C) 20 × 17 D) 20 + 17 2.Which of the leaves a remainder of 2 when divided by 4? A) 2014 B) 2015 C) 2016 D) 2017 3.Which of the is a product of two consecutive primes? A) 30 B) 72 C) 77 D) 187 4.A Bizz-Number is a integer that either contains the 3 or is a multiple of 3. What is the of the 10th Bizz-Number? A) 24 B) 27 C) 30 D) 31 5.The of an isosceles triangle with side-lengths 1 and 1008 is A) 1010 B) 1012 C) 2017 D) 2018 6.How integers less than 2017 are divisible by 16 but not by 4? A) 0 B) 126 C) 378 D) 504 7.Jon has a number of pens. If he distributed them evenly among 4 students, he have 3 left. If he distributed them evenly among 5 students, he have 4 left. The minimum number of pens that Jon have is A) 14 B) 17 C) 19 D) 24 8.Which of the numbers is not divisible by 8? A) 123168 B) 234236 C) 345424 D) 456624 9.Which of the is both a square and a cube? A) 36 × 58B) 36 × 59C) 36 × 512D) 39 × 512 10.The of two prime numbers cannot be A) odd B) even C) prime D) composite 11.At the end of day, the amount of water in a cup is twice what it was at the beginning of the day. If the cup is at the end of 2017th day, then it was 1/4 at the end of the ? day. A) 504th B) 505th C) 2015th D) 2016th 12.The grades on an exam are 5, 4, 3, 2, or 1. In a class of 200 students, 1/10 of got 5’s, 1/5 of got 4’s, 25% of got 3’s, and 15% of got 2’s. How many students got 1’s?

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