2018-19三年级美国大联盟
【精品】2020美国数学大联盟)挑战赛三年级真题(附答案+中文翻译+解题思路)
2017-2018年度美国“数学大联盟杯赛”（中国赛区）题目翻译及解题tips【翻译】：2018与以下哪个数字相加的总和是偶数？The sum of…总和…；the even number偶数【翻译】：约翰和吉尔一共有92美元。
约翰的钱是吉尔的三倍。
问约翰有多少钱？①…has three times（倍数）as many(修饰可数名词)/much(修饰不可数名词)as…A的…是B的几倍②As···as···和什么一样多【翻译】：汤姆是一个篮球热爱者！在他的书中，他写了100次“ILOVENBA”（我爱NBA）。
问他写的第500个字母是什么。
（提示：本题考查周期循环规律题）【翻译】：一个长*宽为8*25的长方形和以下哪个长方形有相同的面积。
【翻译】：前100个正整数（1-100）的和与后50个正整数（51-100）的和之间的差是多少？①Positive difference···与···的差；②positive integers正整数【翻译】：你有一根10英尺长的杆子需要被切成10等份。
若每一份需要10秒去切，完成这份工作一共需要多少秒。
【翻译】：Amy将2018四舍五入约至十位（rounded···to the nearest tens）得到的数字与Ben将2018四舍五入约至百位得到的数字，这两个数字之和是多少？【翻译】：下列哪组数有最小公倍数？【翻译】：Dan每买2支铅笔的同时也会5支钢笔。
如果他买了10支铅笔，那他一共买了几支钢笔？【翻译】：星期四的20天后是星期几？【翻译】：下列哪个角的度数最小？①an obtuse钝角②an acute锐角③a right直角④a stright平角【翻译】：我们班的每位学生都要轮流喊一个整数。
第一个人喊的是1。
美国四大体育联盟
美国四大体育联盟美国是一个历史悠久的体育大国，在这里体育运动不仅是一项休闲娱乐活动，更是一种文化和生活方式。
而在众多的体育项目中，美国拥有四大体育联盟，它们是：国家橄榄球联盟(National Football League，NFL)、美国职业棒球大联盟(Major League Baseball，MLB)、国家篮球协会(National Basketball Association，NBA)和国家冰球联盟(National Hockey League，NHL)。
本文将为您详细介绍这四大体育联盟的历史渊源、组织架构和文化特点。
一、国家橄榄球联盟(NFL)国家橄榄球联盟(NFL)成立于1920年。
当时，美国有多个职业橄榄球联盟，各自为政，缺乏鲜明的组织结构和明确的规则。
为了解决这个问题，当时的10支球队在俄亥俄州克利夫兰召开了会议，决定成立一个全国性联盟，最终成立了NFL。
经过几十年的发展，目前NFL已经成为世界上最大最富盛名的职业体育联盟之一。
1. 组织架构NFL总部位于美国纽约市曼哈顿区，下设32支球队，分为两个联盟，分别是美国橄榄球联盟(American Football Conference，AFC)和国家橄榄球联盟(National Football Conference，NFC)。
每个联盟下设16支球队，分别代表不同的城市和地区。
NFL在赛制和规则方面十分重视科技和数据分析，在赛前、赛中和赛后都会使用大量的数据来进行比赛分析和决策。
2. 文化特点NFL比赛场上场下都充满着激烈的竞争和紧张的气氛。
除了比赛本身，球迷们更是享受观看比赛的过程。
NFL比赛一般都在星期天进行，是很多美国人一周中最期待的事情之一，他们会邀请朋友或家人一起在电视机前观看比赛，或者到体育场现场观看比赛。
在比赛间歇，还会有各种游戏和表演，场上的啦啦队员和吉祥物也成为了NFL的一大特色。
二、美国职业棒球大联盟(MLB)美国职业棒球大联盟(MLB)成立于1903年，是美国国民最喜爱的球类运动之一。
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段三年级试卷及答案
2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段(三年级)(活动日期：2018年11月25日，答题时间：90分钟，总分：200分)学生诚信协议：答题期间，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. 本试卷是三年级试卷，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。
试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。
4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一半题目的学生就应该受到表扬和鼓励。
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。
1.20 + 20 + 20 = 18 + 18 + ?A) 14 B) 18 C) 22 D) 242.It takes four Beaver Brothers to carry a sharpened stick. How many Beaver Brothers doesit take to carry eight sharpened sticks?A) 12 B) 18C) 24 D) 323.On a number line, what is the difference between the two numbers that are 20 away from30?A) 10 B) 20 C) 40 D) 504.Seven weeks = ? daysA) 14 B) 49 C) 77 D) 3435.Which of the following numbers is a multiple of both 3 and 7?A)10 B)37 C) 42 D) 736.Which of the following has the greatest remainder?A) 3 ÷ 2 B) 11 ÷ 3 C) 13 ÷ 5 D) 15 ÷ 77.20 – 18 + 16 – 14 + 12 – 10 + 8 – 6 + 4 – 2 =A) 2 × 5 B) 3 × 5 C) 4 × 5 D) 5 × 58.Which number is 10 times as large as 2018?A)2028 B)2128 C) 3018 D) 20 1809.100 × 100 + ? = 1000 × 1000A) 900 B) 9000 C) 99 900 D) 990 00010.Yogi the Yelling Bear can yell for 15 seconds, but then needs a 10-secondbreak. For at most how many seconds can he yell in two minutes?A) 60 B) 75C) 90 D) 11011.Which of the following expressions has the lowest value?A) 1 ÷ (2 ÷ 3) B) (1 ÷ 2) ÷ 3C) (3 ÷ 2) ÷ 1 D) 3 ÷ (2 ÷ 1)12.The difference between two odd numbers cannot beA) 0 B) 6 C) 9 D) 1213.I have a pizza that can be cut into either 12 equal small slices or8 equal large slices. If I’ve already cut 4 large slices from thepizza, how many small slices can I cut from what remains?A) 2 B) 4C) 6 D) 814.The sum of 4 consecutive odd numbers is 80. What is the greatest of the 4 odd numbers?A) 21 B) 23 C) 25 D) 2715.I started with $20.18, and then spent 2 quarters, 0 dimes, 1 nickel, and 8 pennies. Howmuch money do I have left?A) $19.55 B) $19.60 C) $19.65 D) $19.7516.If Cyrus can buy 5 apples for 80 cents, then at that same rate he can buy 9 apples forA) $0.64 B) $1.44 C) $1.60 D) $1.8017.It is 1:00 p.m. now. I spent 20 minutes eating and finished eating 200 minutes ago. Atwhat time did I begin eating?A) 9:20 a.m. B) 9:40 a.m.C) 10:20 a.m. D) 10:40 a.m.18.Eighteen $10 bills and eighteen $100 bills equalsA) $1818 B) $1880 C) $1918 D) $198019.My square has an area of 4 cm2. The sides of your square are three times as long as thesides of my square. Your square has areaA) 9 cm2B) 16 cm2C) 24 cm2D) 36 cm220. There was no snow on the ground on December 31. Each evening after that, 4 cm of snow fell, and no other snow fell that day. If 2 cm of snow melted each morning, ? cm were on the ground the afternoon of January 4th.A) 4B) 6C) 8D) 1221. The product of 2 ÷ (1 ÷ 4) and 4 ÷ (1 ÷ 2) isA) 1B) 4C) 8D) 6422. A carton of milk and a muffin cost $2.60, and the milk costs 40 cents more than the muffin.How much does the milk cost?A) $0.75B) $1.10C) $1.50D) $2.2023. There are 30 students in my class. Eighteen of them can juggle, ten of them can ride a unicycle, and six of them can do neither. How many can do both?A) 2 B) 4 C) 6D) 824. (24 + 18 + 12 + 6) ÷ (16 + 12 + 8 + 4) =A) 1.5B) 2C) 4D) 625. A 4 m by 5 m rectangular floor is tiled with square tiles that have sides that are 1 m long. How many of the tiles are NOT surrounded by other tiles on all four sides?A) 12B) 14C) 16D) 1826. Of the following, which has the least value?A) 5500 ones B) 7 thousands C) 60 hundredsD) 500 tens27. Colton ran 1 km on Monday last week, and on each day after that he rantwice as many km as he had the day before. Cayden runs the same whole number of km every day. For the 7 days from Monday last week to Sunda y, if Cayden ran more total km than Colton did, Cayden’s daily run must be at least ? km.A) 2B) 7C) 19D) 3328. How many 2-digit whole numbers contain neither the digit 1 nor the digit 2?A) 56B) 64C) 70D) 8029. Every time Emma, Gaby, and Rosie play a game, the winner gets a quarter. After 3 gameswith no ties, some players may have no quarters, some 1 or 2 quarters, or one may have 3 quarters. In how many ways can the 3 quarters be distributed among the three players?A) 8B) 9C) 10D) 1230. If a teacher gives each of his students 4 crayons from his box of crayons, 16 crayons remain. If instead he gives each student 6 crayons from this box, 2 crayons remain. How many students are there?A) 7B) 8C) 12D) 1431. Which of the following results in an odd number?A) even × oddB) odd × even C) odd + evenD) odd + odd32. Zach multiplied the number on his shirt by itself. What could be his result?A) 24B) 25C) 26D) 2733. Find the missing term in the following sequence: 4, 7, 10, 13, _____, 19A) 3B) 16C) 19D) 2334. Ella wears different colored sneakers each day of the week, but her sneakers fall apart after four days of wear! At least how many pairs of sneakers does she need for the month of December?A) 7B) 8C) 10D) 1235. The largest whole-number multiple of 7 less than 100 isA) 91B) 93C) 97D) 9836. How many two-digit positive integers can be written using only even numbers?A) 16B) 20C) 25D) 5037. Simona has only dimes and quarters, and has exactly one dollar. If she has at least one dime and one quarter, how many coins must she have?A) 3B) 5C) 7D) 938. How many numbers between 100 and 200 are evenly divisible by 4 and 6?A) 4B) 6C) 8D) 1039. In Olive’s kingdom, castles have 8 beds and homes have 2 beds. If there are 48 beds in total and 3 castles, how many homes are there? A) 8 B) 12C) 16D) 2440. How many additional 2 × 2 non-overlapping squares can fit into a 6 × 6 square than a4 × 4 square? A) 4 B) 5C) 6D) 8。
美国大学联盟介绍
美国大学联盟介绍美国大学联盟介绍很多美国学院与大学属於一些特别联盟，这些联盟除为了促进大学间的运动和谐性，还专注於院校会员之教育目标的竞争融洽性。
每个联盟由一组学校组成，这些学校在运动与学术的一定范围内，均能互相合作完成目标。
通常，一个联盟的院校会员位在美国指定的地区性范围内。
此篇文章简短的介绍一些主要美国学校联盟。
: u: S4 N- \ x0 H. [9 `4 I常春藤联盟（The Ivy League）" u* R; f' D. L# m& ?在美国，"常春藤学府"一般隐喻著和高等学习院校有关，但只有一些学校被公认为"常春藤联盟"。
常春藤联盟由美国东北部之八所学校组合而成：布朗大学（Brown）、哥伦比亚大学（Columbia）、康乃尔大学（Cornell）、达特茅斯学院（Dartmouth）、哈佛大学（Harvard）、宾州大学（Pennsylvania）、普林斯顿大学（Princeton）、及耶鲁大学（Y ale）。
除康乃尔大学外，所有这些学校均在美国独立战争前创设，每所院校的入学标准均非常严格。
这些学校之间的学术与运动竞争性纪录始於十九世纪末。
於很多人加入最有学术名望学院联合会，常春藤联盟成为多数美国及世界领导之母校。
( h8 H! s7 `: x% E& @5 U( e8 N% ]根据一种理论，"常春藤联盟"之原名应追溯到1937年，一位纽约报作者铸造了此名词，因美国最古老及最菁英的学校建筑物均被常春藤覆盖住。
另外一个理论对此名词的解释则较为古老，来自较早称之为"四联盟"（Four Leage）的运动协会，成员包括哥伦比亚大学、哈佛大学、普林斯顿大学、和耶鲁大学。
根据第二个理论，在保持学术传统之时，"四联盟"（Four Leage）被写为罗马数字的"四联盟"（IV League）。
美国4大职业联盟
美国四大职业体育联盟简介1、美国职业橄榄球大联盟（National Football League，即NFL）我个人认为橄榄球是和拳击、f1一级方程式并列的最男人的运动。
美国的第一运动无疑是橄榄球（美式足球），老美说美式足球才是真正的足球，哈哈。
他们大学中的风云人物也常常是橄榄球队的四分卫，这在很多美国校园喜剧当中有所体现。
在美国，NFL的受关注程度远远超过了NBA，和NFL相比，可以说NBA就不算个啥，特别是在上演超级碗(Super Bowl)的时候。
超级碗在美国的电视观众人数比MLB（美国职业棒球大联盟）及这些天进行的NBA总决赛的总和还要多3倍。
当然，如果算上中国的观众人数，NBA立马干掉所有一切。
科比是一个超级巨星了吧，在中国这么红（我也是科比球迷），但在美国，如果有人提起佩顿·曼宁(小马队四分卫)，科比·布莱恩也得膜拜一下。
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。
从《福布斯》全球俱乐部价值排行来看，在前10名榜单中，NFL占据6席，而且单支球队的最低价值为11.5亿美元。
NFL中共有32支队伍，毫无疑问，是全球最贵的体育联盟。
NFL一些球队收入最高可达每年50亿美元左右，奥运会和世界杯都是国际性的体育赛事，却也敌不过美国人自己玩的NFL。
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段四年级试卷及答案
2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段(四年级)(活动日期：2018年11月25日，答题时间：90分钟，总分：200分)学生诚信协议：答题期间，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. 本试卷是四年级试卷，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。
试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。
4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一半题目的学生就应该受到表扬和鼓励。
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.(123 + 456) + 678 = (123 + 678) + ?A) 123 B) 456 C) 579 D) 6782.Bea sharpened 1200 pencils. Half the pencils had erasers, andhalf of all the erasers were pink. How many pencils with pinkerasers did Bea sharpen?A) 200 B) 300C) 400 D) 6003.I have a prime number of pairs of socks. The total number of socks I have could not beA) 26 B) 38 C) 46 D) 544.The product of 500 000 and 200 000 has exactly ? zeros.A) 5 B) 6 C) 10 D) 115.Divide 100 by 10, then multiply the result by 10. The final answer isA)0 B)1 C) 10 D) 1006.At most how many complete 8-minute songs can I sing in 3 hours?A) 22 B) 23 C) 24 D) 1807. 2 × (44 + 44 + 44) = 88 + 88 + ?A) 0 B) 44 C) 66 D) 888. A rectangle has sides of even lengths and perimeter 12. Its area isA) 6 B) 8 C) 9 D) 169.16 × (17 + 1) –? × (15 + 1) = 0A) 15 B) 16 C) 17 D) 1810.The crowd clapped for 840 seconds, stopping at 8:15 P.M. Theystarted clapping at ? P.M.A) 7:59 B) 8:01C) 8:08 D) 8:1411.If each digit of my 5-digit ID code is different, the sum of its digitsis at mostA) 15 B) 25 C) 35 D) 4512.At the museum, adult tickets cost $4 each and child tickets cost $3 each. With $50, I canbuy ? more child tickets than adult tickets.A) 1 B) 4 C) 12 D) 1613.Each day last week I read for a whole number of hours. I read forthe same number of hours each day except Sunday. If I read for 12hours last week, I read for ? hours on Sunday.A) 7 B) 6 C) 5 D) 414.The product 2 × 3 × 4 × 5 × 6 has the same value as the product ? × 3 × 5.A) 12 B) 36 C) 48 D) 6315.The average test grade in my class is a whole number, and the sum of the test grades is2400. Of the following, which could be the total number of test grades?A) 18 B) 21 C) 27 D) 3216.If twice a whole number is 120 less than five times the same whole number, then half thewhole number isA) 10 B) 20 C) 40 D) 6017.The number of bees I have doubles each day. If I had 1024 bees last Friday, the first daythe number of bees was more than 100 was aA) Tuesday B) WednesdayC) Thursday D) Friday18.Each of 6 dogs ate 3 treats from each of 4 bags. If each bag started with 30 treats, the 4bags together ended with ? treats.A) 36 B) 48 C) 72 D) 9619.What is the greatest possible product of two different even whole numbers whose sum is100?A) 196 B) 625 C) 2496 D) 250020. Ed built 3 times as many houses as Bob, who built half as many houses as Ally. If the 3 of them built 96 houses in all, Ed and Ally built a combined total of ? houses.A) 16 B) 32 C) 48D) 8021. How many factors of 2 × 4 × 8 × 16 are multiples of 4?A) 3B) 4C) 8D) 922. When I divide a certain number by 3 or 5, I get a remainder of 2. The sum of the digits ofthe least number for which this is true isA) 1B) 3C) 7D) 823. My 144 fish are split between 2 tanks so that 1 tank has twice as many fish as the other. How many fish must I move from one tank to the other so that both tanks have the same number of fish?A) 24 B) 48 C) 60D) 7224. A 3-digit number is the product of at most ? whole numbers greater than 1.A) 2B) 3C) 9D) 1025. Abby earns $2 for every clam she finds and $3 for every oyster. If Abby finds 5 times asmany oysters as clams, which of the following could be her total earnings?A) $150B) $160C) $170D) $18026. (The average value of the 10 smallest even whole numbers greater than 0) – (the average value of the 10 smallest odd whole numbers) =A) 0B) 1C) 10D) 1127. Ana planted seeds in rows. If the total number of rowsequaled the number of seeds in each row, the number of seeds planted could have beenA) 194B) 216C) 250D) 28928. What is the greatest possible sum of five 2-digit whole numbers if all 10 digits of the fivenumbers are different?A) 270B) 315C) 360D) 48529. I thought I wrote every whole number between 1 and 500 in order from least to greatest, but actually I skipped 3 numbers in a row. If I left out a total of 8 digits, what is the sum of the numbers I skipped?A) 100B) 150C) 300D) 39030. Written backwards, 123 becomes 321. How many whole numbers between 100 and 200 have a larger value when written backwards?A) 70B) 80C) 90D) 9831. The average of four different numbers is 18. And the least of the four numbers is 3. What is the least possible value of the biggest of the four numbers?A) 21B) 23C) 24D) 6032. 3 tigers can eat 36 Big Macs in 6 minutes. How many Big Macs can 12 tigers eat in 3 minutes?A) 18B) 36C) 72D) 28833. In the followi ng sequence, 2, 0, 1, 8, 2, 0, 1, 8, … (repeating), what is its 2018th term?A) 2B) 0C) 1D) 834. 2018a b c is a multiple of 9. What is the least possible value of abc ? (Note: abc is a three-digit number, which means a is not 0.)A) 7B) 100C) 106D) 99735. What is the least common multiple of 84 and 112?A) 28B) 196C) 336D) 940836. In triangle ABC , ∠C = 90°, ∠A = 15°, AB = 20. What is the area of this triangle?A) 20B) 50C) 100D) 20037. ABCD is a rectangle and its perimeter is 22, as shown at the right. EFGH is a square. AH = 6. CF = ?A) 4 B) 5 C) 6D) 838. How many leap years are there between 2018 and 2081?A) 16B) 17C) 18D) 1939. My class was lined up on the gym floor in 8 rows, with 2 students in each row. If our coach rearranged us so that the number of rows was the same as the number of students in each row, how many rows were there after we were rearranged? A) 4B) 6C) 10D) 1640. Of the 100 numbers from 1 to 100, how many of them don’t contain 7 as its digit?A) 65 B) 75C) 80 D) none of the above。
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段六年级试卷及答案
B) Monday
C) Tuesday
D) Friday
12. Rounding a decimal to the nearest whole number yields a number that is at most ? greater than the original decimal.
A) 0.05
B) 0.1
C) 0.5
D) 0.9
13. The perimeter of a rectangle with area 2019 and integral side-lengths is greatest when its length and width diffC) 670
A) 6
B) 9
C) 12
D) 18
3. The number 36 is the product of -6 and
A) -6
B) 6
C) -30
D) 42
4. 20 ×18 = 20 ×19 + 20 × ?
A) -1
B) 0
C) 1
D) 20
5. Angel arrived 3 of an hour early for her noon appointment. At what time did Angel 10
城市
区
考号
所在学校
年级
姓名(签名)
………………………………………………装……………………………………………订……………………………………………线…………………………………………………………… ……………………………………装…………………订…………………线…………………内…………………不…………………答…………………题………………………………………
美国大联盟常用词汇(整合版)
John has three times as many/much +n. as Alex
约翰的什么是埃利斯的三倍
An 8 by 25 rectangle(面积是8×25的长方 形)
cent dollar Centigrade Fahrenheit
...和...的和 ...和...的差 ...和...的积 ...和...的商
sum（the sum of) （positive）difference（the difference
of) product(the product of) quotient(the quotient of)
dividend divisor remainder
(in) total average/mean equal to/the same as the largest/maximum the least/minimum more/greater than
less than
number/integer /term odd even prime
composite (positive) integer/whole number
consecutive proper/improper/mixed
inverse
point side/line
angle length width height perimeter/circumference area distance radius
1美分硬币 5美分硬币 1角硬币 25美分硬币
1美元 1对 1打 小时 分钟 秒
right triangle rhombus clockwise
anticlockwise/counterclockwise
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段五年级试卷
act is twice as long as the 3rd, what fraction of the play is the 3rd act?
A) 1/9
B) 2/9
C) 3/9
D) 4/9
15. If I double my speed of 12 000 m/hr., my new speed will be
城市
区
考号
所在学校
年级
姓名(签名)
………………………………………………装……………………………………………订……………………………………………线…………………………………………………………… ……………………………………装…………………订…………………线…………………内…………………不…………………答…………………题………………………………………
won every 6th game we played. If my team qualified for the finals after our
96th game, how many wins did we need?
A) 12
B) 16
C) 18
D) 90
12. What is the greatest common factor of 1 ×3 ×5 ×7 ×9 and 2 ×4 ×6 ×8 ×10?
A) 200 m/min.
B) 400 m/min.
C) 600 m/min.
D) 2400 m/min.
16. Which of the following could be the perimeter of an equilateral triangle with integral side-lengths?
2018年美国“数学大联盟杯赛”(中国赛区)初赛三年级试卷(1)
2017-2018年度美国“数学大联盟杯赛”(中国赛区)初赛(三年级)(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. 本试卷是三年级试卷，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. 5 + 6 + 7 + 1825 + 175 =A) 2015 B) 2016 C) 2017 D) 20182.The sum of 2018 and ? is an even number.A) 222 B) 223 C) 225 D) 2273.John and Jill have $92 in total. John has three times as much money as Jill. How muchmoney does John have?A) $60 B) $63 C) $66 D) $694.Tom is a basketball lover! On his book, he wrote the phrase “ILOVENBA” 100 times.What is the 500th letter he wrote?A) L B) B C) V D) N5.An 8 by 25 rectangle has the same area as a rectangle with dimensionsA) 4 by 50 B) 6 by 25 C) 10 by 22 D) 12 by 156.What is the positive difference between the sum of the first 100 positive integers and thesum of the next 50 positive integers?A) 1000 B) 1225 C) 2025 D) 50507.You have a ten-foot pole that needs to be cut into ten equal pieces. If it takes ten secondsto make each cut, how many seconds will the job take?A) 110 B) 100 C) 95 D) 908.Amy rounded 2018 to the nearest tens. Ben rounded 2018 to the nearest hundreds. Thesum of their two numbers isA) 4000 B) 4016 C) 4020 D) 4040 9.Which of the following pairs of numbers has the greatest least common multiple?A) 5,6 B) 6,8 C) 8,12 D) 10,2010.For every 2 pencils Dan bought, he also bought 5 pens. If he bought 10 pencils, how manypens did he buy?A) 25 B) 50 C) 10 D) 1311.Twenty days after Thursday isA) Monday B) Tuesday C) Wednesday D) Thursday12.Of the following, ? angle has the least degree-measure.A) an obtuse B) an acute C) a right D) a straight13.Every student in my class shouted out a whole number in turn. The number the firststudent shouted out was 1. Then each student after the first shouted out a number that is 3 more than the number the previous student did. Which number below is a possible number shouted out by one of the students?A) 101 B) 102 C) 103 D) 10414.A boy bought a baseball and a bat, paying $1.25 for both items. If the ball cost 25 centsmore than the bat, how much did the ball cost?A) $1.00 B) $0.75 C) $0.55 D) $0.5015.2 hours + ? minutes + 40 seconds = 7600 secondsA) 5 B) 6 C) 10 D) 3016.In the figure on the right, please put digits 1-7 in the sevencircles so that the three digits in every straight line add upto 12. What is the digit in the middle circle?A) 3 B) 4 C) 5 D) 617.If 5 adults ate 20 apples each and 3 children ate 12 apples in total, what is the averagenumber of apples that each person ate?A) 12 B) 14 C) 15 D) 1618.What is the perimeter of the figure on the right? Note: Allinterior angles in the figure are right angles or 270°.A) 100 B) 110C) 120 D) 16019.Thirty people are waiting in line to buy pizza. There are 10 peoplein front of Andy. Susan is the last person in the line. How manypeople are between Andy and Susan?A) 18 B) 19C) 20 D) 2120.Thirty-nine hours after 9:00 AM isA) 1:00 AM B) 12:00 PM C) 8:00 PM D) 12:00 AM21.200 + 400 + 600 + 800 = (1 + 2 + 3 + 4) ×?A) 2 B) 20 C) 200 D) 200022.11…11 (the number consisting of 2016 1’s) is not a mult iple ofA) 11 B) 111 C) 1111 D) 1111123.The average of two thousands and two millions isA) 10000 B) 1000000 C) 1001000 D) 111100024.A triangle has the same area as a square. If the length of a base of the triangle is the sameas the side-length of the square, and the height of the triangle to the base is 4, what is thearea of the square?A) 1/2 B) 2 C) 4 D) 825.When V olta found a field in the shape of an isosceles triangle, she was soexcited that she ran a lap around all three sides. Two sides of the field havelengths of 505 m each, and the third side has a whole-number length.What is the greatest possible distance that V olta might have run in one lap?A) 2016 B) 2017 C) 2018 D) 201926.25 ×66 = 75 ×?A) 22 B) 44 C) 16 D) 3327.The number that has an odd number of whole number divisors isA) 15 B) 16 C) 17 D) 1828.In a sequence of 8 numbers, the average of the 8 terms is 15. If the average of the firstthree terms is 16 and the average of the next two terms is 15, what is the average of thelast three terms?A) 12 B) 13 C) 14 D) 1529.All years between 2000 and 2050 that are divisible by 4 are leap years.No other years between 2000 and 2050 are leap years. How many daysare there all together in the 17 years from 2010 to 2026?A) 6029 B) 6030 C) 5018 D) 501930.The sum of the hundreds digit and the tens digit of 2357 isA) 5 B) 8 C) 10 D) 1231.Which of the expressions below has the greatest value of (quotient × remainder)?A) 27 ÷ 4 B) 47 ÷ 6C) 57 ÷ 8 D) 87 ÷ 1232.I have some dimes and nickels, and together these coins are worth $3. If I replace everynickel with a quarter, I will have $5. How many dimes do I have?A) 10 B) 15 C) 20 D) 2533.I am a lovely cat. When I multiply the digits of a whole numberand the product I get is 9, I put that whole number on my list offavorite numbers. Of the whole numbers from 1000 to 9999, howmany would I put on my list of favorite numbers?A) 5 B) 10 C) 15 D) 2034.The sum of the tens digit and the units digit of the sum 1 + 12 + 123 + 12345+ … + 123456789 isA) 4 B) 5 C) 6 D) 735.The product of all prime numbers between 1 and 10 isA) 210 B) 105C) 1890 D) none of the above36.What is the average of 12, 14, 16, and 18?A) 13 B) 14 C) 15 D) 1637.When Jon shouts out a whole number, Al shouts out the product ofits digits, Barb shouts out the product of the digits of the number Alshouted out, and Cy shouts out the product of the digits of thenumber Barb shouted out. When Cy shouts out 18, what numbermight Jon have shouted out?A) 789 B) 799 C) 899 D) 99938.Each big box contains 3 medium boxes, each medium box contains2 small boxes, and each small box contains 5 apples. How many bigboxes are necessary for 1200 apples?A) 30 B) 40 C) 50 D) 6039.Eighteen years from now, my age will be 4 more than twice my currentage. My age now isA) 12 B) 14 C) 16 D) 1840.Each time Wanda waved her wand, 4 more stars appeared on herdress (which started with no stars). After several waves, Wandamultiplied the total number of stars then on her dress by thenumber of times she had waved her wand. This product cannot beA) 144 B) 256 C) 364 D) 676。
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段四年级试卷
2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段(四年级)(活动日期：2018年11月25日，答题时间：90分钟，总分：200分)学生诚信协议：答题期间，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. 本试卷是四年级试卷，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。
试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。
4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一半题目的学生就应该受到表扬和鼓励。
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.(123 + 456) + 678 = (123 + 678) + ?A) 123 B) 456 C) 579 D) 6782.Bea sharpened 1200 pencils. Half the pencils had erasers, andhalf of all the erasers were pink. How many pencils with pinkerasers did Bea sharpen?A) 200 B) 300C) 400 D) 6003.I have a prime number of pairs of socks. The total number of socks I have could not beA) 26 B) 38 C) 46 D) 544.The product of 500 000 and 200 000 has exactly ? zeros.A) 5 B) 6 C) 10 D) 115.Divide 100 by 10, then multiply the result by 10. The final answer isA)0 B)1 C) 10 D) 1006.At most how many complete 8-minute songs can I sing in 3 hours?A) 22 B) 23 C) 24 D) 1807. 2 × (44 + 44 + 44) = 88 + 88 + ?A) 0 B) 44 C) 66 D) 888. A rectangle has sides of even lengths and perimeter 12. Its area isA) 6 B) 8 C) 9 D) 169.16 × (17 + 1) –? × (15 + 1) = 0A) 15 B) 16 C) 17 D) 1810.The crowd clapped for 840 seconds, stopping at 8:15 P.M. Theystarted clapping at ? P.M.A) 7:59 B) 8:01C) 8:08 D) 8:1411.If each digit of my 5-digit ID code is different, the sum of its digitsis at mostA) 15 B) 25 C) 35 D) 4512.At the museum, adult tickets cost $4 each and child tickets cost $3 each. With $50, I canbuy ? more child tickets than adult tickets.A) 1 B) 4 C) 12 D) 1613.Each day last week I read for a whole number of hours. I read forthe same number of hours each day except Sunday. If I read for 12hours last week, I read for ? hours on Sunday.A) 7 B) 6 C) 5 D) 414.The product 2 × 3 × 4 × 5 × 6 has the same value as the product ? × 3 × 5.A) 12 B) 36 C) 48 D) 6315.The average test grade in my class is a whole number, and the sum of the test grades is2400. Of the following, which could be the total number of test grades?A) 18 B) 21 C) 27 D) 3216.If twice a whole number is 120 less than five times the same whole number, then half thewhole number isA) 10 B) 20 C) 40 D) 6017.The number of bees I have doubles each day. If I had 1024 bees last Friday, the first daythe number of bees was more than 100 was aA) Tuesday B) WednesdayC) Thursday D) Friday18.Each of 6 dogs ate 3 treats from each of 4 bags. If each bag started with 30 treats, the 4bags together ended with ? treats.A) 36 B) 48 C) 72 D) 9619.What is the greatest possible product of two different even whole numbers whose sum is100?A) 196 B) 625 C) 2496 D) 250020. Ed built 3 times as many houses as Bob, who built half as many houses as Ally. If the 3 of them built 96 houses in all, Ed and Ally built a combined total of ? houses.A) 16 B) 32 C) 48D) 8021. How many factors of 2 × 4 × 8 × 16 are multiples of 4?A) 3B) 4C) 8D) 922. When I divide a certain number by 3 or 5, I get a remainder of 2. The sum of the digits ofthe least number for which this is true isA) 1B) 3C) 7D) 823. My 144 fish are split between 2 tanks so that 1 tank has twice as many fish as the other. How many fish must I move from one tank to the other so that both tanks have the same number of fish?A) 24 B) 48 C) 60D) 7224. A 3-digit number is the product of at most ? whole numbers greater than 1.A) 2B) 3C) 9D) 1025. Abby earns $2 for every clam she finds and $3 for every oyster. If Abby finds 5 times asmany oysters as clams, which of the following could be her total earnings?A) $150B) $160C) $170D) $18026. (The average value of the 10 smallest even whole numbers greater than 0) – (the average value of the 10 smallest odd whole numbers) =A) 0B) 1C) 10D) 1127. Ana planted seeds in rows. If the total number of rowsequaled the number of seeds in each row, the number of seeds planted could have beenA) 194B) 216C) 250D) 28928. What is the greatest possible sum of five 2-digit whole numbers if all 10 digits of the fivenumbers are different?A) 270B) 315C) 360D) 48529. I thought I wrote every whole number between 1 and 500 in order from least to greatest, but actually I skipped 3 numbers in a row. If I left out a total of 8 digits, what is the sum of the numbers I skipped?A) 100B) 150C) 300D) 39030. Written backwards, 123 becomes 321. How many whole numbers between 100 and 200 have a larger value when written backwards?A) 70B) 80C) 90D) 9831. The average of four different numbers is 18. And the least of the four numbers is 3. What is the least possible value of the biggest of the four numbers?A) 21B) 23C) 24D) 6032. 3 tigers can eat 36 Big Macs in 6 minutes. How many Big Macs can 12 tigers eat in 3 minutes?A) 18B) 36C) 72D) 28833. In the followi ng sequence, 2, 0, 1, 8, 2, 0, 1, 8, … (repeating), what is its 2018th term?A) 2B) 0C) 1D) 834. 2018a b c is a multiple of 9. What is the least possible value of abc ? (Note: abc is a three-digit number, which means a is not 0.)A) 7B) 100C) 106D) 99735. What is the least common multiple of 84 and 112?A) 28B) 196C) 336D) 940836. In triangle ABC , ∠C = 90°, ∠A = 15°, AB = 20. What is the area of this triangle?A) 20B) 50C) 100D) 20037. ABCD is a rectangle and its perimeter is 22, as shown at the right. EFGH is a square. AH = 6. CF = ?A) 4 B) 5 C) 6D) 838. How many leap years are there between 2018 and 2081?A) 16B) 17C) 18D) 1939. My class was lined up on the gym floor in 8 rows, with 2 students in each row. If our coach rearranged us so that the number of rows was the same as the number of students in each row, how many rows were there after we were rearranged? A) 4B) 6C) 10D) 1640. Of the 100 numbers from 1 to 100, how many of them don’t contain 7 as its digit?A) 65 B) 75C) 80 D) none of the above。
美国大联盟数学竞赛铜奖 小升初
美国大联盟数学竞赛铜奖小升初美国“大联盟”(Math League)思维探索研学活动是美国及北美地区具有卓越影响力的中小学数学思维探索研学活动，也是一项具有全球影响力的中小学数学思维探索研学活动。
第一届探索活动于1977年举行，至今已经连续举办了43届。
美国“大联盟”(Math League)思维探索研学活动每年举办一次，分为第一阶段、第二阶段、和研学嘉年华三个阶段。
第一阶段活动试题灵活、生动，富有趣味性，同时也贴近生活。
让学生理解数学、欣赏数学，激励学生创新，更能激发学生学习数学的兴趣，培养学生主动探索的精神。
第二阶段活动的目的是为了让中国学生体验美国数学教学的优点和特点，即美国启发式、重视应用、轻松、有趣、与实际生活紧密相关、研究、探索式的教学方式，启发学生如何thinking mathematically，培养学生creative thinking, critical thinking, and problem solving skills，即探索如何用数学解决实际生活中的问题，培养学生创造性思维、批判性思维、和实际解决问题的能力。
第二阶段活动还考察学生的英语能力(listening, speaking, communication, writing, and comprehension)。
研学嘉年华的决赛试题由美国"大联盟"(Math League)思维探索研学活动和普林斯顿大学(Princeton University)、哥伦比亚大学(Columbia University)、威廉姆斯学院(Williams College)联合命题，具有很高的挑战性，是数学超常少年展现才华的绝佳平台。
美国"大联盟"(Math League)思维探索研学活动会在其美方官网公布每年优胜者的成绩并颁发荣誉证书。
优异的成绩更是美国乃至世界各地学生申请北美重点高中和重点大学的重要参考依据。
一文读懂美国数学大联盟，你想知道的都在这里！
⼀⽂读懂美国数学⼤联盟，你想知道的都在这⾥！The Math League美国数学⼤联盟杯赛由两位美国著名的数学教育家Mr. Steven R. Conrad和Mr. Daniel Flegler创办，于1977年成功举办第⼀届，如今不仅在美国及北美地区影响⼒巨⼤，更是在国际上拥有全球影响⼒的数学赛事。
两位数学家的初衷是希望可以通过竞赛促进学⽣享受数学，启发学⽣学会利⽤数学解决实际⽣活中遇到的问题，提升创造性思维和批判性思维，更是考察学⽣听说读写综合英语能⼒。
每年有超过100万名中⼩学⽣参加。
相⽐中国现有数学竞赛的形式，Math League更灵活⽣动，更容易激发学⽣对数学的兴趣，从⽽理解数学、欣赏数学，⽽不是看见数学就害怕。
不仅如此，参加Math League更能在未来申请上添砖加⽡。
Math League竞赛流程与规则美国“数学⼤联盟杯赛”分为中国区初赛、中国区复赛和美国决赛三个阶段：中国区初赛：竞赛详情：以下为按不同年级组区分的竞赛详情，获奖证书上也根据以下表格仅标明年级组：年级组考试时考试时⽐赛形式：笔试竞赛详情：⽐赛形式：间题型题⽬总分备注三年级90分钟选择题40道英⽂题200分答题卡四年级90分钟选择题40道英⽂题200分答题卡五年级90分间题型题⽬总分备注钟选择题40道英⽂题200分答题卡六年级90分钟选择题40道英⽂题200分答题卡七年级（初⼀）90分钟选择题40道英⽂题200分答题卡⼋、九年级组（初⼆、初三）90分钟选择题40道英⽂题200分答题卡⾼中（⾼⼀、⾼⼆、⾼三）90分钟填空题30道英⽂题300分笔试请考⽣准备好2B铅笔、签字笔、橡⽪等考试⼯具，禁⽌使⽤修正液、涂改带、计算器等。
考试时组委会给每个学⽣提供数学常⽤词汇表竞赛结果：初赛结束后每位选⼿均会受到以下初赛成绩统计与分析及禁⽌携带任何形式的字典、词典、计算器、及任何资料竞赛结果：查缺补漏试题：全国初赛成绩统计：成绩正态分布图、平均分、标准差、区分度等。
美国小学数学大联盟试卷
一、选择题（每题2分，共20分）1. 小明有12个苹果，他给了小红5个，给了小刚3个，还剩几个苹果？A. 10个B. 7个C. 4个D. 0个2. 一辆汽车从A地出发，以每小时60公里的速度行驶，3小时后到达B地。
如果以每小时80公里的速度行驶，需要多少小时到达B地？A. 2小时B. 2.5小时C. 3小时D. 4小时3. 小华有5个红球和7个蓝球，他想要把球分成两组，每组球的颜色相同。
他可以怎样分组？A. 5个红球和5个蓝球B. 4个红球和6个蓝球C. 3个红球和4个蓝球D. 2个红球和5个蓝球4. 一个正方形的边长是4厘米，它的周长是多少厘米？A. 8厘米B. 12厘米C. 16厘米D. 20厘米5. 小明、小红和小华一起买了3本书，小明出了10元，小红出了7元，小华出了5元。
他们平均每人出了多少元？A. 5元B. 6元C. 7元D. 8元6. 小刚有25个金币，他要用这些金币买巧克力，每块巧克力需要3个金币。
他最多可以买多少块巧克力？A. 7块B. 8块C. 9块D. 10块7. 一个长方形的长是8厘米，宽是4厘米，它的面积是多少平方厘米？A. 16平方厘米B. 32平方厘米C. 64平方厘米D. 128平方厘米8. 小李的自行车每小时可以行驶15公里，他骑车去图书馆需要30分钟，图书馆距离他家有多远？A. 7.5公里B. 15公里C. 22.5公里D. 30公里9. 小芳有18个彩球，她想要把这些彩球平均分成3组，每组有多少个彩球？A. 5个B. 6个C. 7个D. 8个10. 一个三角形的底边长是6厘米，高是4厘米，它的面积是多少平方厘米？A. 12平方厘米B. 18平方厘米C. 24平方厘米D. 36平方厘米二、填空题（每题2分，共20分）11. 2 + 3 × 4 = ________ （计算结果）12. 一个圆的半径是5厘米，它的周长是 ________ 厘米。
13. 36 ÷ 6 = ________ （计算结果）14. 一个长方体的长、宽、高分别是4厘米、3厘米、2厘米，它的体积是________ 立方厘米。
2018-2019年美国“大联盟”(Math League)思维探索活动第一阶段五年级试卷及答案
2018-2019年度美国“大联盟”(Math League)思维探索活动第一阶段(五年级)(活动日期：2018年11月25日，答题时间：90分钟，总分：200分)学生诚信协议：答题期间，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。
试卷、答题卡、答题卡使用说明、草稿纸均不能带走，请留在原地。
4. 本试卷题目很多也很难，期待一名学生所有题目全部答对是不现实的，能够答对一半题目的学生就应该受到表扬和鼓励。
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. 2018 + 2019 = 20 + 18 + 20 + 19 + ?A) 0B) 2000C) 3960D) 40002. If 1/3 of my hats are red, and 36 are not red, I have ? hats.A) 18B) 54C) 72D) 1083. The sum of the measures of the 2 smallest angles of a triangle could beA) 151 degrees B) 135 degrees C) 121 degreesD) 61 degrees4. 2018 = 20 × ? + 18 × 1A) 1B) 10C) 18D) 1005. Every English letter appears in my 2018-letter password at least once. The letter A appears at most ? times.A) 77B) 78C) 1992D) 19936. Which of the following is the product of 2 consecutive integers?A) 182B) 195C) 208D) 2217. The least integer with a prime number of different prime factors isA) 6B) 8C) 12D) 158. I have 5 coins consisting of pennies, nickels, and dimes. If I have at least 1 of each type of coin, the least possible value of my 5 coins isA) 5¢B) 15¢C) 16¢D) 18¢9. Exactly ? different 3-digit area codes can be made using only 2s and 3s, with at leastone 2 and one 3 in each area code.A) 4B) 6C) 9D) 1210. How many multiples of 10 are factors of 102?A) 1B) 2C) 3D) 411. My team had to win a certain number of games to make it to the finals, and we won every 6th game we played. If my team qualified for the finals after our 96th game, how many wins did we need?A) 12 B) 16 C) 18D) 9012. What is the greatest common factor of 1 × 3 × 5 × 7 × 9 and 2 × 4 × 6 × 8 × 10?A) 1B) 3C) 5D) 1513. The expression 2400 is the product of exactly ? sixteens.A) 25B) 50C) 100D) 20014. The 2nd act of a 3-act play is 1/3 the length of the entire play. If the 1st act is twice as long as the 3rd, what fraction of the play is the 3rd act?A) 1/9 B) 2/9 C) 3/9 D) 4/9 15. If I double my speed of 12 000 m/hr., my new speed will beA) 200 m/min. B) 400 m/min. C) 600 m/min.D) 2400 m/min.16. Which of the following could be the perimeter of an equilateral triangle with integralside-lengths?A) 2017B) 2018C) 2019D) 202017. The greatest of 10 consecutive positive integers is a prime number. What is the least possible sum of these integers?A) 65B) 77C) 127D) 12918. One-fourth of Ed’s balloons popped, with 2 balloons popping every3 minutes for an hour. How many balloons did not pop?A) 40 B) 80 C) 120 D) 160 19. What is the greatest common factor of 68 and 86?A) 22B) 44C) 66D) 8820. The expression 1002018 can be written as the product of exactly ? prime numbers.A) 5 × 2018B) 4 × 2018C) 2 × 2018D) 201821. How many integers have a square root greater than 15 and less than 16?A) 0B) 1C) 29D) 3022.=A) 0B) 54C) 90D) 14423. Each day for a month, Sully wakes up 5 minutes earlier than he did the day before. IfSully woke up at 6:50 a.m. on a Monday, on what day did he wake up at 6:20 a.m.?A) Sunday B) Monday C) TuesdayD) Wednesday24. The product of all factors of 21 equals 21 × ? .A) 1B) 2C) 3D) 2125. (1234 + 0 + 1234 + 1 + 1234 + 2 + 1234 + 3 + 1234 + 4) ÷ 5 =A) 1234B) 1234 + 1C) 1234 + 2D) 1234 + 326. On a number line, two different integers are each the same distance from my favorite integer and have a sum of 144. What is my favorite integer?A) 31B) 36C) 48D) 7227. Last year I spent $180 for 80 pairs of shades. This year I spent $180for 5 fewer pairs of the same shades. How much did the price per pair increase since I bought them last year?A) 15¢B) 72¢C) 96¢D) 120¢28. I drove at a constant speed of 60 km/hr. without stopping. At exactly 5:00 p.m. I had traveled 318 km. At what time did I start driving?A) 10:42 a.m. B) 11:42 a.m. C) 12:42 p.m.D) 1:42 p.m.29. I added 3 of the numbers 11111, 22222, 33333, 44444, 55555, 66666, 77777, 88888, and 99999. My sum was one of these 9 numbers. When my sum was divided by 11, the remainder could not have beenA) 5B) 6C) 7D) 830. I wrote the 101 integers from 1 to 101 in order on paper. If I wrote 101 digits per line, what was the sum of the last 4 digits on the first line?A) 11B) 17C) 19D) 2131. The product of all the factors of an integer greater than 1 equals the cube of that integer.What is the least integer for which this is true?A) 24B) 18C) 12D) 832. On our last history test, at least one student scored each of the grades A, B, C, D, and F. If 8 got an A, 15 got a C or higher, 10 got a B or lower, and only one student got a D, how many students got an F?A) 1B) 2 C) 3 D) 5 33. (22 × 24 × 26 × … × 298 × 2100) ÷ (21 × 23 × 25 × … × 297 × 299) =A) 2B) 249C) 250D) 210034. Starting at 1:00 p.m., a ball was rolled in each of two lanes. A ballwas rolled once every 15 seconds in one lane and once every 18 seconds in the other. By 1:44 p.m., how many times had balls been rolled at the same time in both lanes?A) 29B) 30C) 40D) 4435. I counted backwards out loud from 2018 by ones. When I said my 50th multiple of 8, howmany numbers had I counted?A) 252B) 395C) 400D) 161836. If 30% of a number is 42, the 50% of the number is?A) 60B) 70C) 84D) 10837. The perimeter of a square is 12. The area of the square is?A) 3B) 6C) 9D) 1238. A year is called a lucky year if the sum of its digits is 18. For example, 1917 is alucky year since 1 + 9 + 1 + 7 = 18. How many lucky years are there between 2018 and 2108? A) 2B) 3C) 4D) 539. I ran 1 km in 6.0 minutes. Rabbit ran 50% faster and finished inA) 3.0 minutes B) 4.0 minutes C) 4.5 minutesD) 9.0 minutes40. If the pattern of the first 5 letters of ABCDEABCDEABCDE … continues to the right, the 2018th letter in the pattern would beA) A B) BC) CD) D or E。
2018年美国“数学大联盟杯赛”(中国赛区)初赛三年级试卷
2017-2018年度美国“数学大联盟杯赛”(中国赛区)初赛(三年级)(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. 本试卷是三年级试卷，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. 5 + 6 + 7 + 1825 + 175 =A) 2015 B) 2016 C) 2017 D) 20182.The sum of 2018 and ? is an even number.A) 222 B) 223 C) 225 D) 2273.John and Jill have $92 in total. John has three times as much money as Jill. How muchmoney does John have?A) $60 B) $63 C) $66 D) $694.Tom is a basketball lover! On his book, he wrote the phrase “ILOVENBA” 100 times.What is the 500th letter he wrote?A) L B) B C) V D) N5.An 8 by 25 rectangle has the same area as a rectangle with dimensionsA) 4 by 50 B) 6 by 25 C) 10 by 22 D) 12 by 156.What is the positive difference between the sum of the first 100 positive integers and thesum of the next 50 positive integers?A) 1000 B) 1225 C) 2025 D) 50507.You have a ten-foot pole that needs to be cut into ten equal pieces. If it takes ten secondsto make each cut, how many seconds will the job take?A) 110 B) 100 C) 95 D) 908.Amy rounded 2018 to the nearest tens. Ben rounded 2018 to the nearest hundreds. Thesum of their two numbers isA) 4000 B) 4016 C) 4020 D) 4040 9.Which of the following pairs of numbers has the greatest least common multiple?A) 5,6 B) 6,8 C) 8,12 D) 10,2010.For every 2 pencils Dan bought, he also bought 5 pens. If he bought 10 pencils, how manypens did he buy?A) 25 B) 50 C) 10 D) 1311.Twenty days after Thursday isA) Monday B) Tuesday C) Wednesday D) Thursday12.Of the following, ? angle has the least degree-measure.A) an obtuse B) an acute C) a right D) a straight13.Every student in my class shouted out a whole number in turn. The number the firststudent shouted out was 1. Then each student after the first shouted out a number that is 3 more than the number the previous student did. Which number below is a possible number shouted out by one of the students?A) 101 B) 102 C) 103 D) 10414.A boy bought a baseball and a bat, paying $1.25 for both items. If the ball cost 25 centsmore than the bat, how much did the ball cost?A) $1.00 B) $0.75 C) $0.55 D) $0.5015.2 hours + ? minutes + 40 seconds = 7600 secondsA) 5 B) 6 C) 10 D) 3016.In the figure on the right, please put digits 1-7 in the sevencircles so that the three digits in every straight line add upto 12. What is the digit in the middle circle?A) 3 B) 4 C) 5 D) 617.If 5 adults ate 20 apples each and 3 children ate 12 apples in total, what is the averagenumber of apples that each person ate?A) 12 B) 14 C) 15 D) 1618.What is the perimeter of the figure on the right? Note: Allinterior angles in the figure are right angles or 270°.A) 100 B) 110C) 120 D) 16019.Thirty people are waiting in line to buy pizza. There are 10 peoplein front of Andy. Susan is the last person in the line. How manypeople are between Andy and Susan?A) 18 B) 19C) 20 D) 2120.Thirty-nine hours after 9:00 AM isA) 1:00 AM B) 12:00 PM C) 8:00 PM D) 12:00 AM21.200 + 400 + 600 + 800 = (1 + 2 + 3 + 4) ×?A) 2 B) 20 C) 200 D) 200022.11…11 (the number consisting of 2016 1’s) is not a mult iple ofA) 11 B) 111 C) 1111 D) 1111123.The average of two thousands and two millions isA) 10000 B) 1000000 C) 1001000 D) 111100024.A triangle has the same area as a square. If the length of a base of the triangle is the sameas the side-length of the square, and the height of the triangle to the base is 4, what is thearea of the square?A) 1/2 B) 2 C) 4 D) 825.When V olta found a field in the shape of an isosceles triangle, she was soexcited that she ran a lap around all three sides. Two sides of the field havelengths of 505 m each, and the third side has a whole-number length.What is the greatest possible distance that V olta might have run in one lap?A) 2016 B) 2017 C) 2018 D) 201926.25 ×66 = 75 ×?A) 22 B) 44 C) 16 D) 3327.The number that has an odd number of whole number divisors isA) 15 B) 16 C) 17 D) 1828.In a sequence of 8 numbers, the average of the 8 terms is 15. If the average of the firstthree terms is 16 and the average of the next two terms is 15, what is the average of thelast three terms?A) 12 B) 13 C) 14 D) 1529.All years between 2000 and 2050 that are divisible by 4 are leap years.No other years between 2000 and 2050 are leap years. How many daysare there all together in the 17 years from 2010 to 2026?A) 6029 B) 6030 C) 5018 D) 501930.The sum of the hundreds digit and the tens digit of 2357 isA) 5 B) 8 C) 10 D) 1231.Which of the expressions below has the greatest value of (quotient × remainder)?A) 27 ÷ 4 B) 47 ÷ 6C) 57 ÷ 8 D) 87 ÷ 1232.I have some dimes and nickels, and together these coins are worth $3. If I replace everynickel with a quarter, I will have $5. How many dimes do I have?A) 10 B) 15 C) 20 D) 2533.I am a lovely cat. When I multiply the digits of a whole numberand the product I get is 9, I put that whole number on my list offavorite numbers. Of the whole numbers from 1000 to 9999, howmany would I put on my list of favorite numbers?A) 5 B) 10 C) 15 D) 2034.The sum of the tens digit and the units digit of the sum 1 + 12 + 123 + 12345+ … + 123456789 isA) 4 B) 5 C) 6 D) 735.The product of all prime numbers between 1 and 10 isA) 210 B) 105C) 1890 D) none of the above36.What is the average of 12, 14, 16, and 18?A) 13 B) 14 C) 15 D) 1637.When Jon shouts out a whole number, Al shouts out the product ofits digits, Barb shouts out the product of the digits of the number Alshouted out, and Cy shouts out the product of the digits of thenumber Barb shouted out. When Cy shouts out 18, what numbermight Jon have shouted out?A) 789 B) 799 C) 899 D) 99938.Each big box contains 3 medium boxes, each medium box contains2 small boxes, and each small box contains 5 apples. How many bigboxes are necessary for 1200 apples?A) 30 B) 40 C) 50 D) 6039.Eighteen years from now, my age will be 4 more than twice my currentage. My age now isA) 12 B) 14 C) 16 D) 1840.Each time Wanda waved her wand, 4 more stars appeared on herdress (which started with no stars). After several waves, Wandamultiplied the total number of stars then on her dress by thenumber of times she had waved her wand. This product cannot beA) 144 B) 256 C) 364 D) 676。
美国四大职业体育联盟
MLB球队分布图
以下排名以球队所在地的英文名先后为顺序。
NBA
NBA标志
NBA是美国男子职业篮球联赛（National Basketball Association）的简称，于1946年6月6日在纽约成立， 是由北美三十支队伍组成的男子职业篮球联盟，美国四大职业体育联盟之一。其中诞生了乔治·麦肯、威尔 特·张伯伦、迈克尔·乔丹、科比·布莱恩特、哈基姆·奥拉朱旺、埃尔文·约翰逊、克莱德·德雷克斯勒、斯 科蒂·皮蓬、卡里姆·阿布杜尔-贾巴尔、丹尼斯·罗德曼、姚明、勒布朗·詹姆斯、蒂姆·邓肯、德怀恩·韦德、 斯蒂芬·库里、阿伦·艾弗森、凯文·杜兰特、拉塞尔·威斯布鲁克、詹姆斯·哈登、凯里·欧文、林书豪等球 星，是世界上水平最高的篮球赛事。
在1966年6月8日两大联盟宣布和解并签署合并条约成为现今的NFL，起初四年仍然以独立互不干涉的模式运 营，直到1970年才正式统一管理标准，AFL放弃了原来的名号，改为AFC。
国家橄榄球联合会（National Football Conference），简称国联（NFC），是现今NFL的前身。1920年美 国职业橄榄球协会（American Professional Football Association，简称APFA）成立，1923年更名为美国 国家橄榄球联盟（NFL）。