2017-2018年度五年级美国数学大联盟杯赛(中国赛区)初赛含答案
五年级美国大联盟计算和几何专题讲义教师版(含题目翻译答案解析)
五年级美国大联盟第一阶段-计算+几何专题（教师版）学生/课程年级学科授课教师日期时段核心内容null 课型null教学目标1、掌握分数、百分数、乘方的计算。
2、掌握因数倍数、质数合数、奇数偶数、最大公因数和最小公倍数、倍数关系。
3、掌握组合图形的面积。
重、难点1、掌握分数、百分数、乘方的计算。
2、掌握因数倍数、质数合数、奇数偶数、最大公因数和最小公倍数、倍数关系。
3、掌握组合图形的面积。
导学一知识点讲解计算数的计算：整数、分数、百分数的计算与乘方例题1.[单选题] [整数的加法和减法] [难度：★★★ ] The sum of 5 consecutive one-digit integers is at most （）A、15B、25C、35D、45【参考答案】C【题目解析】5个连续的一位数的整数之和最大是（）2.[单选题] [数的运算] [难度：★★★ ] I have read 1/3 of the total 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、16B、24C、32D、50【参考答案】A【题目解析】我已经阅读了120页的书的章节总数的1/3。
如果每一章都有相同的总页数，那么我剩下的章节总数可以是（）3.[单选题] [数的运算] [难度：★★★ ] Which of the following has the greatest value?A 、2017B、2017 C、20×17D、20+17【参考答案】B【题目解析】下面的数中，哪个数的值最大？我爱展示1. [单选题] [数的运算] [难度：★★★ ] Which of the following when rounding to the nearestthousands,hundreds, and tens, equals 3000, 3500, and 3460, respectively?A、3210B、3333C、3456D、3517【参考答案】C【题目解析】下面的数中，哪个数分别四舍五入到千位、百位、十位，结果是3000、3500、3460？2000 2017 20002. [单选题] [数的运算] [难度：★★★ ] 2 ×5= 10 ×?17 1000 2000 2017A、5B、5C、5D、5【参考答案】A3. [单选题] [数的运算] [难度：★★★ ] The number that is 10% of 1000 is 10 more than 10% of（）A、90B、100C、900D、990【参考答案】A【题目解析】1000的10%大于（）的10%的10倍。
2018年美国“数学大联盟杯赛”(中国赛区)初赛四年级试卷(1)
2017-2018年度美国“数学大联盟杯赛”(中国赛区)初赛(四年级)(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。
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.Which of the following is the smallest?A) 2.018 B) 20.18 C) 0.218 D) 20182.What is the least common multiple of 20 and 18?A) 90 B) 180 C) 240 D) 3603.The sum of the degree-measures of the exterior angles of a triangle is?A) 180 B) 360 C) 540 D) 7204.In the figure on the right, please put the numbers 1 – 11 in the elevencircles so that the three numbers in every straight line add up to 18.What is the number in the middle circle? Note: There are 5 straightlines in total in this figure.A) 6 B) 7 C) 8 D) 95.I am a lovely cat. When I multiply the digits of a whole numberand the product I get is 8, I put that whole number on my list offavorite numbers. Of the whole numbers from 1000 to 9999,how many would I put on my list of favorite numbers?A) 10 B) 12 C) 16 D) 206.Two planes take off at the same time from the same point to race to apoint and back. Place A travels at 180 miles per hour on the way out and240 miles per hour on the return trip. Plane B covers the entire distance at an averagespeed of 210 miles per hour. Which plane wins the race, or is it a tie?A) plane A wins B) plane B winsC) a tie D) non-deterministic 7.52 × 88 = 44 ×?A) 102 B) 96 C) 104 D) 1248.What is the smallest whole number that leaves a remainder of 4, 5, 6 when divided byeach of 5, 6, 7?A) 29 B) 209 C) 210 D) 20099.In △ABC, m∠A + m∠C = m∠B. What is the degree measure of ∠B?A) 80 B) 90 C) 100 D) 18010.I bought a toy for $10, sold it for $20, rebought it for $30, and resold it for $40. My totalprofit on the 4 transactions was ?A) 10 B) 20 C) 30 D) 4011.What is the greatest number of integers I can choose from the first ten positive integers sothat any 3 of the chosen integers could be the lengths of the three sides of a triangle?A) 4 B) 5 C) 6 D) 712.How many whole numbers between 200 and 400 have all their digits increasing in valuewhen read from left to right?A) 30 B) 36 C) 42 D) 4813.What is the value of 1% of 10% of 100?A) 0.01 B) 0.1 C) 1 D) 1014.If three cats can eat three bowls of food in three minutes, how many minutes will it take100 cats to eat 100 bowls of food?A) 1 B) 3C) 100 D) None of the above15.There are three squares. The area of the smallest one is 2. The side-length of the secondsquare is twice the side-length of the smallest one. And the side-length of the third square is three-times the side-length of the smallest one. The total area of the three squares isA) 12 B) 28 C) 36 D) 7216.A man, who had been married for three years, spent25of his yearly income on his family,14on business, and110on personal travel. If he saved $45000 during those three years, what was his annual income?A) $45000 B) $50000C) $65000 D) None of the above17.Given four different integers, at most how many different sums can be formed bychoosing two, three, or four of them and finding each sum?A) 8 B) 9 C) 10 D) 1118. Max places 100 eggs in 10 baskets, with each basket receiving at least1 egg, but no2 baskets receiving the same number of eggs. What is the greatest number of eggs that may be placed in a basket?A) 45 B) 47 C) 55 D) 6519. 2 + 3 × 4 – 5 =A) 0 B) 6 C) 9 D) 15 20. What is the highest power of 2 that divides 2 × 4 × 6 × 8 × 10? A) 25 B) 27 C) 28 D) 215 21. Which of the following is a prime number?A) 2017B) 2018C) 2015D) 201622. What is the greatest possible number of acute angles in a figure consisting of a triangleand a line passing through two sides of the triangle?A) 5B) 6C) 7D) 823. Amy can solve 5 questions every 3 minutes. Kate can solve 3 questions every 5 minutes.How many more questions Amy can solve than Kate in one hour?A) 15B) 32C) 60D) 6424. Using 3 Ts and 2 Js, in how many different orders can the five letters be arranged? Forexample, TTTJJ and TTJJT are two such different orders.A) 2B) 10C) 20D) 6025. Coastal Coconuts can divide all their coconuts evenly among 8, 9, or10 customers, with 1 coconut left over each time. If Coastal Coconuts has more than 1 coconut, what is the least number of coconuts they could have?A) 561 B) 721C) 831 D) None of the above 26. 35 ÷ 32 =A) 3 B) 9 C) 27 D) 81 27. If the sum of three prime numbers is 30, what is the least prime number?A) 2B) 3C) 5D) 728. Juxtaposing two identical squares to form a rectangle, the perimeter of the rectangle is 12less than the sum of the perimeter of the two squares. What is the side-length of the original square?A) 3B) 6C) 9D) 1229. It takes Mike 2 hours to finish a task. It takes 4 hours for Tom to finish the same task.Mike and Tom worked together on this task for one hour before Mike had to leave. How long will it take Tom to finish the rest of the task?A) 1 B) 2 C) 3 D) 4 30. The number of triangles in the figure on the right isA) 9 B) 10 C) 11 D) 12 31. What is the thousands digit of the product 1234560 × 2345670 × 3456780?A) 8B) 6C) 5D) 032. The sum of nine consecutive positive integers is always divisible byA) 2B) 5C) 7D) 933. You can put as many as 96 books in 6 backpacks. How many backpacks are necessary for144 books?A) 7B) 8C) 9D) 1034. The number of nickels I have is twice the number of dimes I have, and together thesecoins are worth more than $1. The least number of dimes that I can have isA) 5B) 6C) 8D) 1035. The ages of four kids are four consecutive positive integers. The product of their ages is3024. How old is the oldest kid?A) 8B) 9C) 10D) 1136. In the Game of Life, you earn 3 points for flipping a coin to “heads”, and 5 points forflipping a coin to “tails”. In all, how many positive whole number scores are IMPOSSIBLE to get after flipping it one or more times?A) 4B) 5C) 7D) 1137. Four monkeys can eat four bags of peanuts in three minutes. How many monkeys will ittake to eat 100 bags of peanuts in one hour?A) 4 B) 5 C) 20 D) 100 38. The tens digit of the product of the first 100 positive integers isA) 2B) 4C) 8D) 039. Someone put three dimes into my pile of quarters. If I add up the value of these coins,including the dimes, the sum could beA) $6.25B) $7.75C) $8.05D) $9.5040. Brooke's empty tub fills in 20 minutes with the drain plugged, andher full tub drains in 10 minutes with the water off. How manyminutes would it take the full tub to drain while the water is on?A) 12B) 15 C) 20 D) 30。
五年级美国大联盟第一阶段-数论专题(含题目翻译解析)完整版
五年级美国大联盟第一阶段-数论专题（教师版）学生/课程年级学科授课教师日期时段核心内容熟悉美国大联盟常考数论题课型一对一/一对N教学目标1、掌握各类数的概念与特点；2、根据数的特点求解相应的量；重、难点教学目标1/2知识导图（一）单词dollar integer product penny factor one－digit nickle multiple plusdime even minus quarter odd multipleprime number dividecomposite consecutive（二）词组square root at least a millionpositive integers greatest common factor least common multiple two －digit multiples be divisible by the sum of【参考答案】square root 平方根 at least 至少 a million一百万 positive integers 正整数 greatest common factor 最大公因数 least common multiple 最小公倍数 two －digit multiples 两位数的倍数 be divisible by 被……整除 the sum of总和dollar 美元 integer 整数 product 积 penny 1美分 factor 因数 one －digit 一位数 nickle 5美分 multiple 倍数 plus 加 dime 10美分 even 偶数 minus 减 quarter25美分odd奇数 multiple 乘 prime number 质数 divide 除composite合数consecutive连续的导学一：组合种类知识点讲解1、简单列举有些题目，因其所求的答案有多种，用算式不容易表示，需要采用一一列举的方法解决。
2017年小学五年级数学竞赛试题及参考答案
2017年小学五年级数学竞赛试题及参考答案2017年小学数学学校姓名成绩：一、填空题（每小题4分，共40分）1、一个三位数，它的数字之和正好是18，而十位数字是个位数字的2倍，百位数字是个位数字的3倍，这个三位数是（）。
2、100个馒头100个和尚吃,大和尚每人吃3个,小和尚3人吃一个,则大和尚有（）个，小和尚有（）个。
3、15年前父亲年龄是儿子的7倍，10年后，父亲年龄是儿子的2倍。
今年父亲（）岁，儿子（）岁。
4、差是减数的4倍，差与减数的差是150。
被减数是（）。
5、平面上有30个点，任意三点都不在同一条直线上，若每两点间连一条线段，共可连出（）条线段。
6、有人民币5元一张、2元一张、1元三张、5角一张、2角三张、1角一张。
要从中拿出8.6元，有（）种分歧的拿法。
7、1×2×3×……×49×50的积的末尾继续有（）个零。
8、午餐时，甲有4包点心，乙带有3包点心，（7包点心价钱一样），丙没食物。
他们把点心平分食用，吃完算账丙要给甲和乙共7元钱，那么，乙（）元。
9、3247—1630的尾数是（）。
10、在右面的乘法中，A、B表示不同的数字，其中A表示（），B表示（）。
二、挑选题（每题2分，共10分）1、全班35位同学排成一行，从左边数小明是第20个，从右边数小刚是第21个，小明与小刚之间有（）人。
A．6 B．5 C．4D．31应得2、右图中共有（）个三角形。
A．8B．11C．14D．173、小华今年12岁，5年后爷爷是他年龄的5倍，爷爷现在的年龄是（）。
A．80 B．81 C．82D．844、566除以一个数所得的商是12，而且除数与余数的差是6，余数是（）。
A．40 B．38C．36D．345、现有30克和5克的砝码和一台天平，要把300克盐均分成3等份，至少要称（）次。
A．2 B．3C．4D．5三、简便计算（每题5分，共20分）（1）2010×—2009×（2）6.8×0.1+0.5×68+0.049×680（3）5.3÷9＋3.7÷9（4）1－3＋5－7＋9－11+…－1999＋2001四、解答题(每小题10分,共30分)。
五年级美国大联盟第一阶段-数论专题(含题目翻译解析)完整版
五年级美国大联盟第一阶段-数论专题（教师版）学生/课程年级学科授课教师日期时段核心内容熟悉美国大联盟常考数论题课型一对一/一对N教学目标1、掌握各类数的概念与特点；2、根据数的特点求解相应的量；重、难点教学目标1/2知识导图（一）单词dollar integer product penny factor one－digit nickle multiple plusdime even minus quarter odd multipleprime number dividecomposite consecutive（二）词组square root at least a millionpositive integers greatest common factor least common multiple two －digit multiples be divisible by the sum of【参考答案】square root 平方根 at least 至少 a million一百万 positive integers 正整数 greatest common factor 最大公因数 least common multiple 最小公倍数 two －digit multiples 两位数的倍数 be divisible by 被……整除 the sum of总和dollar 美元 integer 整数 product 积 penny 1美分 factor 因数 one －digit 一位数 nickle 5美分 multiple 倍数 plus 加 dime 10美分 even 偶数 minus 减 quarter25美分odd奇数 multiple 乘 prime number 质数 divide 除composite合数consecutive连续的导学一：组合种类知识点讲解1、简单列举有些题目，因其所求的答案有多种，用算式不容易表示，需要采用一一列举的方法解决。
美国数学大联盟杯赛五年级试卷(2020新教材)
——教学资料参考参考范本——美国数学大联盟杯赛五年级试卷(2020新教材)______年______月______日____________________部门(初赛时间：2018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) 92.Every prime has exactly ? positive divisors.A) 1 B) 2 C) 3 D) 4 or more3.If I answered 34 out of 40 questions on my math testcorrectly, I answered ? % of the questions correctly.A) 75 B) 80 C) 85 D) 904.120 ÷ 3 ÷ 4 × 12 =A) 1 B) 10 C) 12 D) 1205.10 × 20 × 30 × 40 = 24 × ?A) 1000 B) 10 000 C) 100 000 D) 1000 0006.One of my boxes contains 1 pencil and the others each contain 5 pencils. If there are101 pencils in my boxes, how many boxes do I have?A) 19 B) 20 C) 21 D) 227.of those are damaged. How many light bulbs are not damaged?A) 25 B) 504 C) 1512 D) 20xx8.50 × (16 + 24) is the square ofA) -40 B) -4 C) 4 D) 809.Which of the following numbers has exactly 3 positive divisors?A) 49 B) 56 C) 69 D) 10010.Ten people stand in a line. Counting from the left, Jerrystands at the 5th position. Counting from the right, which position is he at?A) 4 B) 5 C) 6 D) 711.On a teamwork project, Jack contributed 2/7 of the totalamount of work, Jill contributed 1/4 of the work, Patcontributed 1/5 of the work, and Matt contributed the rest.第1页,共4页Who contributed the most toward this project?A) Jack B) Jill C) Pat D) Matt12.Which of the following numbers is a factor of 20xx?A) 5 B) 11 C) 48 D) 9913.2 × 4 × 8 × 16 × 32 × 64 =A) 210B) 215C) 221D) 212014.On a game show, Al won four times as much as Bob, and Bobwon 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) $20xx15. cannot beA) odd B) even C) 11 D) 1716.If a and b are positive integers such that a/b = 5/7, thena +b isA) 12 B) 24 C) 36 D) not able to be determined17.What is the greatest odd factor of the number of hours in all the days of the year 20xx?A) 3 B) 365 C) 1095 D) 328518. If the current month is February, what month will it be 1199 999 months from now?A) January B) February C) March D) April 19. ° 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 4throot of 256) =A) 12B) 24C) 32D) 6421. In ∆ABC, m ∠A – m ∠B = m ∠B – m ∠C. What is the degreemeasure of ∠B?A) 30B) 60C) 90D) 12022. 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) 22C) 33D) 4423. ? 1s.A) 17B) 19C) 29D) 3224. 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) 12B) 24 C) 30 D) 3625. If the length of a rectangular prism with volume V isdoubled while the width and the height are halved, the volume of the new prism will beA) 4VB) V /2C) VD) 2V26. Rick and Roy each stands at different ends of a straight road that is 64 m long. They run toward each other. Rick ’s speed is 3 m/s and Roy ’s speed is 5 m/s. They will meet in? seconds.……………线…………………………………………………………… ……………答…………………题………………………………………。
【2020】最新美国数学大联盟杯赛五年级试卷
(初赛时间：2018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) 92.Every prime has exactly ? positive divisors.A) 1 B) 2 C) 3 D) 4 or more3.If I answered 34 out of 40 questions on my math test correctly, I answered ? % of the questionscorrectly.A) 75 B) 80 C) 85 D) 904.120 ÷ 3 ÷ 4 × 12 =A) 1 B) 10 C) 12 D) 1205.10 × 20 × 30 × 40 = 24 × ?A) 1000 B) 10 000 C) 100 000 D) 1000 0006.One of my boxes contains 1 pencil and the others each contain 5 pencils. If there are 101 pencils inmy boxes, how many boxes do I have?A) 19 B) 20 C) 21 D) 227.of those are damaged. How many light bulbs are not damaged?A) 25 B) 504 C) 1512 D) 20xx8.50 × (16 + 24) is the square ofA) -40 B) -4 C) 4 D) 809.Which of the following numbers has exactly 3 positive divisors?A) 49 B) 56 C) 69 D) 10010.Ten people stand in a line. Counting from the left, Jerry stands at the 5th position. Counting fromthe right, which position is he at?A) 4 B) 5 C) 6 D) 72 / 4第1页,共4页23. ? 1s.4 Flegs, then5 Sels = ? Flegs.。
2014-2015美国大联盟五年级
2014-2015年度美国“数学大联盟杯赛”（中国赛区）初赛（五年级）中文版一、选择题（每小题5分，答对加5分，答错不扣分，175分，请将正确答案A/B/C或者D 写在每题后面的圆括号内）8. 80+(160+240) ÷4=40+80+(120÷____ ) （）A. 4B. 2C. 1D. 09. 下列式子中哪个式子的余数最大? （）A. 1111 ÷8B. 2222 ÷7C. 3333 ÷6D. 4444 ÷510. 下列各数中，哪个是20×14×20×15的因数? （）A. 13B. 11C. 9D. 711. Thok有一个简单的计划。
他准备花费一天中50%的时间在洞穴中，剩下的时间中的25%用来打猎，剩余的时间在外面看电影。
那么他将花费多少时间看电影呢? （）A. 3B. 6C. 9D. 2512. 2×3×6×36×2×3×6×36=（）?A. 65B. 66C. 67D. 6813. 我有5个1美分的便士，4个5美分的硬币，3个0.25的硬币，2个0.5美元的硬币和1美元。
那这些硬币的平均值是多少（）?A. 0.02美元B.0.06美元C. 1.5美元D. 3美元14. Wyatt O’Vine的羊的体重是Wyatt的两倍，Wyatt的体重是他帽子的两倍，如果Wyatt，羊，他的帽子体重在一起时210kg，那Wyatt重多少? （）A. 30kgB. 35kgC. 60kgD. 70kg15. （12+34）×（56+78）=12×（56+78）+_____×(56+78) ? （）A. 12B. 34C. 56D. 7816. 如果2个群等于5个斑点，那么500个群等于______个斑点。
（）A. 200B. 250C. 1000D. 125017.（64+64）2 =（）A. 16B. 64C. 128D. 25618. 如果7个连续的偶数和是182，那么7个数中最小的数字是（）A. 20B. 23C. 26D. 3219. 当他倒立时，Flip决定从777开始每8个数字一倒数，那以下的哪个数字他会数到? （）A. 123B. 125C. 127D. 12920. 买5个苹果和买6个梨的价格是一样的，如果一个苹果比一个梨多花15美分，那么5个苹果和6个梨在一起一共多少钱? （）A. 3美元B. 6美元C. 9美元D. 18美元21. 27和27所有因数的乘积之间相差多少? （）A. 2B. 27C. 2×27D. 26×2722. 一个小于100的最大素数分解数最多是_____个素数的乘积（不一定是不同的）? （）A. 3B. 4C. 5D. 623. 一个四边都是整数边的长方形被分成了一个正方形和一块阴影的长方形。