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）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。

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。

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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。

下面是这道美国小学数学竞赛题：拉雷的生日在4月份，米切尔的生日在10月，问：他们的生日相差不到180天的可能性有几种？你能回答这个问题吗？智力数学题3.四年级数学作业学生刘方问数学张老师的年龄，张老师回答说：“我15年前的岁数和你6年后的岁数相同。

7年前，我的岁数是你的8倍。

”请你算一算，张老师今年多少岁？4.小学生三年级数学题题目：一天，有个年轻人来到童鞋店里买了一双鞋子。

这双鞋子成本是15元，标价是21元。

结果是这个年轻人掏出50元要买这双鞋子。

童鞋店老板当时没有零钱，用那50元向街坊换了50元的零钱，找给年轻人29元。

但是街坊後来发现那50元是假钞，童鞋店无奈之下，还了街坊50元。

现在问题是：童鞋店老板在这次交易中到底损失了多少钱 ?8： 1天3人去住酒店,老板说要30块钱,于是3人一人拿出10块钱住下了,第2天老板说有优惠,只要25块,于是给了服务员5块让他还给那三个人,服务员自己偷偷拿了2块，给了那三个人3块。

每个人一开始交了10元,后来又退了每人一元,就是说每人交了9元,3个9是27,加上服务员的2块,一共是29块. 那1块钱呢。

10: 100个人回答五道试题，有81人答对第一题，91人答对第二题，85人答对第三题，79人答对第四题，74人答对第五题，答对三道题或三道题以上的人算及格，那么，在这100人中，至少多少人及格？11: 一个班同学去野炊，总共带了130只锅，碗和盆。

他们按照2人用一只碗，3人用一只盆，4人用一只锅使用。

问这个班总共有几个人，锅，碗盆各几只。

12:把100只桃子分装在5只篮子里，每只篮子里装的桃子都含有数字“5”，请你想一起，应该如何装？美国名牌大学智力测试题l.玛丽姬(女)的弟弟点了一下兄弟姐妹的人数，发现自己的兄弟比姐妹多1人。

那么，玛丽姬的兄弟比她的姐妹多几人? 作者：新浪教育2.有排列成一行的四户人家。

已知：A家在B家的隔壁；A 家与D家并不相邻。

如果D家与C家也不相邻，那么，C 家的隔壁是哪一家?作者：新浪星座• b• d• c3.在下列图中，已知上一行a、b、c、d四个图形中，有一个图形与下一行中的某个图形最为相似。

世界三年级数学竞赛试题一、选择题（每题2分，共20分）1. 下列哪个数字是最小的质数？A. 0B. 1C. 2D. 32. 如果一个班级有21名学生，每3名学生组成一个小组，那么可以组成多少个小组？A. 6B. 7C. 8D. 93. 一个长方形的长是12厘米，宽是8厘米，它的周长是多少？A. 40厘米B. 44厘米C. 48厘米D. 56厘米4. 一个数的5倍是25，这个数是多少？A. 5B. 4C. 3D. 25. 一个数加上8等于35，这个数是多少？A. 27B. 28C. 29D. 306. 下列哪个分数小于1/2？A. 1/3B. 2/4C. 3/5D. 4/67. 一个数的3/4等于12，这个数是多少？A. 16B. 24C. 32D. 368. 一个圆的半径是5厘米，它的直径是多少？A. 10厘米B. 15厘米C. 20厘米D. 25厘米9. 一个数减去它的一半等于10，这个数是多少？A. 20B. 15C. 10D. 510. 一个班级有40名学生，如果每5名学生组成一个小组，那么可以组成多少个小组？A. 8B. 7C. 6D. 5二、填空题（每题2分，共20分）11. 一个数加上______等于它自己，这个数是0。

12. 如果一个数的2/3等于8，那么这个数是______。

13. 一个数的3倍加上5等于23，这个数是______。

14. 一个数的4倍减去6等于18，这个数是______。

15. 一个数的一半加上它的1/4等于7，这个数是______。

16. 一个数的70%等于14，这个数是______。

17. 一个数的1/5加上2等于5，这个数是______。

18. 一个数的3/4减去4等于8，这个数是______。

19. 一个数的平方是36，这个数是______。

20. 一个数的立方是27，这个数是______。

三、计算题（每题5分，共30分）21. 计算下列表达式的值：(1) 36 - 15 + 24(2) 48 ÷ 6 × 322. 解下列方程：(1) x + 7 = 14(2) 5x - 20 = 1523. 计算下列分数的和：(1) 1/2 + 1/4 + 1/8(2) 2/3 - 1/624. 解下列方程组：(1) x + y = 102x - y = 6四、应用题（每题10分，共30分）25. 一个班级有36名学生，如果每4名学生组成一个小组，那么可以组成多少个小组？剩余多少名学生？26. 一个长方形的长是20厘米，宽是15厘米，如果沿着长边剪去5厘米，剩下的长方形的周长是多少？27. 一个水果店有120个苹果，如果每5个苹果装一袋，那么可以装多少袋？剩余多少个苹果？请同学们认真思考，仔细作答。

注意事项：总分1.请在密封线内填好有关信息.2.不允许使用手机、计算器等电子设备小学三年级试卷（A卷）填空题I （每题8分，共40分）1. 2 99981 19 382.3个人排成一排，有种不同的排法？3.我们知道0,1,2,3,……叫做自然数，只能被1和自身整除的大于1的自然数叫做质数或素数，比如2,3,5,7,11 等，按照从小到大的顺序，第8个质数是.4.“24点”游戏时很多人熟悉的数学游戏，游戏过程如下：任意从52张扑克牌（不含大小王）中抽取4张，用这4张扑克牌上的数字（从1至IJ 13,其中A=1, J=11, Q=12, K=13）通过加减乘除四则运算法则运算得出24 ,最先找到算法的人获胜。

游戏规定4张扑克牌都要用到，而且每张牌只能用一次，比如2, 3, 4, Q则可以由算法 2 Q 4 3得到24.如果在一次游戏中恰好抽到了 4 , 8, 8, 8,则你的算法是： .5.自然数1, 2,…，50中，被3除余1的数有个。

填空题II （每题10分，共50分）个正方形。

7.将一根长80厘米的细绳对折一次后，用剪刀在中点处剪开，其中最长的一段绳长是_____ 厘米。

8.将一个面积为36平方厘米的正方形纸片按照下图所示方式折叠两次后对折，沿对折线剪开，得到的长方形纸片中面积最大的为平方厘米。

9.古希腊的数学家们将自然数据按照以下方式与多边形联系起来，定义了多边形数：三边形数：1,3,6,10,15 ,…… 四边形数：1,4,9,16,25 ,…… 五边形数：1,5,12,22,35 ,…… 六边形数:1, 6,15,28,45 ,…………则按照上面的顺序，第8个三边形数为10.将下图中的圆圈染色，要求有连线的两个相邻的圆圈染不同的颜色，则至少需要种颜色。

填空题III （每题12分，共60分）11.2015年1月1日是星期四，根据这一信息，可以算出2015年2月1日是星期.12.用1颗红珠子，2颗蓝珠子，2颗绿珠子串成一个手链，可以串成种不同的手链。

2013-2014年度美国“数学大联盟杯赛”(中国赛区)初赛答案(三、四年级)一、选择题1. A.Since 0 is a factor, 2 × 0 × 1 × 4 = 0.A) 0B) 7C) 8D) 20142. B.If 2 years ago I was 3 years old, I am now 3 + 2 = 5.A) 4B) 5C) 6D) 233. D.8 + (60 ÷ 4) = 8 + (15) = 23.A) 15B) 17C) 22D) 234. B.(1 + 7) + (2 + 6) + (3 + 5) = 3 × 8 = 24 = 4 + 20.A) 4B) 20C) 24D) 285. C.The prime numbers less than 10 are 2, 3, 5, and 7.A) 2B) 3C) 4D) 56. B.Caleb the dog dreams he has 12 dozen bones. Since 12 dozen = 12 × 12 = 144, there are 144 ÷ 2 = 72 pairs. Caleb will have to dig 72 holes.A) 24B) 72C) 144D) 2887. C.From 9:45 PM to 10:45 PM is 60 mins. From 10:45 PM to 11 PM is 15 mins. From 11 PM to 11:10 PM is 10 mins. That’s (60 + 15 + 10) mins.A) 65B) 75C) 85D) 958. D.From January 1st to January 31st, there are 16 odd-numbered dates. From February 1st to February 21st, there are 11 odd-numbered dates. That’s 27 × $2 = $54.A) $48B) $50C) $52D) $549. C.9 × 9 + 9 × 8 + 9 × 7 + 9 × 6 = 9 × (9 + 8 + 7 + 6).A) 20B) 24C) 30D) 3610.D.Manny weighs three times as much as Murray. Manny also weighs 8000 kg more than Murray, so 8000 kg is twice Murray’s weight. Thus Murray weighs 4000 kg and Manny weighs 12 000 kg.D) 12 00011.B.I have twice as many shirts as hats, and four times as many hats as scarves. If I have 24 shirts, I have 24÷ 2 = 12 hats and 12 ÷ 4 = 3 scarves.A) 2B) 3C) 6D) 1212.C.My coins have a total value of $6.20. If I have 1 of each coin, I have (1 + 5 + 10 + 25)¢ = 41¢. Subtract 41¢ from $6.20 repeatedly until there is 5¢ left. After 15 subtractions, there is 5¢ left. I have 15 + 5 or20 pennies.A) 10B) 15C) 20D) 2513.D.The diagrams demonstrate choices A, B, and C.A) 14 kmB) 10 kmC) 8 kmD) 1 km14.C.(2014 −1014) + (3014 − 2014) = 1000 + 1000 = 2000.A) 0B) 1000C) 2000D) 201415.A.10 + (9 ×8) − (7 × 6) = 10 + 72 − 42 = 40.A) 40B) 110The prime factorization of 72 is 2 × 2 × 2 × 3 × 3. The largest prime is 3.A) 3B) 7C) 36D) 7217.D.6 × 4 = 24 = 96 ÷ 4.A) 6B) 12C) 24D) 9618.C.If 6 cans contain 96 teaspoons of sugar, 1 can contains 96 ÷ 6 = 16 teaspoons of sugar. Thus 15 cans contain 16 × 15 = 240 teaspoons of sugar.A) 192B) 208C) 240D) 28819.C.The largest possible such sum is 98 + 99 = 197.A) 21B) 99C) 197D) 19820.B.Ann sent Wilson hearts with odd numbers with odd tens digits. The number on each heart he received must be two digits with both digits odd. There are 5 possible tens digits and 5 possible ones digits.That’s a total of 5 × 5 = 25 hearts.A) 23B) 25C) 30D) 4521.B.Since Rich ate his favorite sandwich 8 days ago, today is the 9th day of the month. Since the shortest month has 28 days, it is at least 28 − 9 = 19 days until the last day of the month. He must wait 1 more day.A) 1922.D.The factors of 49 are 1, 7, and 49. Since 49 has 3 factors, it has a prime number of factors.A) 6B) 12C) 36D) 4923.D.Dividing a certain two-digit number by 10 leaves a remainder of 9, so it is 19, 29, 39, 49, 59, 69, 79, 89, or 99. The only number listed with remainder 8 when divided by 9 is 89, so the number is 89 and 8 + 9 = 17.A) 7B) 9C) 13D) 1724.A.The whole numbers less than 1000 that can be written as such a product are 0 × 1 × 2, 1 × 2 × 3, 2 × 3 ×4, 3 × 4 × 5, 4 × 5 × 6, 5 × 6 × 7, 6 × 7 × 8, 7 × 8 × 9, 8 × 9 × 10, and 9 × 10 ×11. In all, that’s 10.A) 10B) 11C) 15D) 2125.B.The only such numbers are 5432, 5431, 5430, 5421, 5420, 5410, 5321, 5320, 5310, and 5210. In all, there are 10 such numbers.A) 3B) 10C) 69D) 12026.C.2014 × 400 = 805 600; the hundreds digit is 6.A) 0B) 5C) 6D) 827.B.Greta was 110 cm tall 2 years ago, when she was 10 cm taller than her brother. Her brother was 100 cmB) 130C) 140D) 15028.B.The number 789 678 567 456 is added to the number 987 876 765 654. Since we carry a 1 when adding the left-most digits, the sum has 12 + 1 digits.A) 12B) 13C) 24D) 2529.D.We must find which number among the choices is two more than a multiple of 5. Divide each choice by5 (or recogniz e that any number that ends in “2”or “7” is 2 more than a multiple of 5).A) 4351B) 5215C) 5616D) 646230.C.Of every 11 people, there are 2 adults and 9 children. Since 99 ÷ 11 = 9, there are 9 groups of 11 people.Of these, 9 × 2 = 18 are adults.A) 9B) 11C) 18D) 22二、填空题31.5.32.22.33.4.34.1.35.617.36.21.37.499.38.765.39.69.40.10.。

2018年全国小学生数学竞赛真题根据你的要求，我将按照“2018年全国小学生数学竞赛真题”这个题目来书写一篇文章。

请注意，受限于文本输入的格式，我无法完全模拟出试卷的样式，但我将尽力在文中使用适当的排版格式和数学符号。

2018年全国小学生数学竞赛真题题目一：计算已知 a = 2，b = 3，请计算 a + b 的值。

解答一：根据题目给出的已知信息，可知 a = 2，b = 3。

要计算 a + b 的值，只需将 a 和 b 相加即可。

a +b = 2 + 3 = 5答案：5题目二：数列推理已知数列 {an} 的前三项分别为 a1 = 1，a2 = 3，a3 = 5。

数列中的每一项均为前一项与2的差的两倍。

请写出数列的第十项。

解答二：根据题目给出的已知信息，可知 a1 = 1，a2 = 3，a3 = 5。

题目要求求出数列的第十项，可以使用递推的方法来解决。

数列的递推关系为：an = 2 * (an-1 - 2)根据递推关系，可以得到数列的前十项如下：a1 = 1a2 = 3a3 = 5a4 = 2 * (a3 - 2) = 2 * (5 - 2) = 6a5 = 2 * (a4 - 2) = 2 * (6 - 2) = 8a6 = 2 * (a5 - 2) = 2 * (8 - 2) = 12a7 = 2 * (a6 - 2) = 2 * (12 - 2) = 20a8 = 2 * (a7 - 2) = 2 * (20 - 2) = 36a9 = 2 * (a8 - 2) = 2 * (36 - 2) = 68a10 = 2 * (a9 - 2) = 2 * (68 - 2) = 132因此，数列的第十项为 132。

答案：132题目三：几何图形已知正方形 ABCD 的边长为 4cm，以 A 为起点，依次顺时针连接AB、BC、CD、DA，得到一个正方形的内接四边形 EFGH。

求 EFGH 的面积。

解答三：根据题目给出的已知信息，可知正方形 ABCD 的边长为 4cm。

一、选择题（每题2分，共20分）1. 下列哪个数是偶数？A. 7B. 12C. 19D. 232. 下列哪个图形是正方形？A. 正三角形B. 长方形C. 梯形D. 圆形3. 下列哪个算式是错误的？A. 3 + 5 = 8B. 7 - 2 = 5C. 8 × 3 = 24D. 4 ÷ 2 = 64. 下列哪个数是2的倍数？A. 7B. 12C. 15D. 205. 下列哪个图形是长方形？A. 正方形B. 梯形C. 平行四边形D. 等腰三角形6. 下列哪个算式是正确的？A. 5 + 3 = 8B. 6 - 2 = 4C. 7 × 2 = 14D. 8 ÷ 3 = 2.67. 下列哪个数是奇数？A. 8B. 9C. 10D. 118. 下列哪个图形是圆形？A. 正方形B. 长方形C. 三角形D. 圆形9. 下列哪个算式是错误的？A. 4 + 2 = 6B. 8 - 3 = 5C. 9 × 3 = 27D. 6 ÷ 2 = 310. 下列哪个数是3的倍数？A. 6B. 8C. 9D. 10二、填空题（每题2分，共20分）11. 5 + 3 = ______12. 7 - 2 = ______13. 6 × 2 = ______14. 8 ÷ 2 = ______15. 3 + 4 = ______16. 9 - 3 = ______17. 7 × 3 = ______18. 12 ÷ 2 = ______19. 2 + 5 = ______20. 8 - 4 = ______三、解答题（每题5分，共20分）21. 小明有8个苹果，他给了小红3个，请问小明还剩下多少个苹果？22. 小红有12个铅笔，小蓝有15个铅笔，他们两个一共有多少个铅笔？23. 小华买了3个苹果，每个苹果2元，她一共花了多少元？24. 小明有20个糖果，他给了小华5个，请问小明还剩下多少个糖果？四、应用题（每题10分，共20分）25. 小明和小红一起买了一些水果，小明买了3个苹果和4个橙子，小红买了2个苹果和5个橙子。

2018-2019年度美国“数学大联盟杯赛”(中国赛区)初赛(五年级)(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 thequestions 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 are 101pencils in my boxes, how many boxes do I have?A) 19 B) 20 C) 21 D) 227.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) 20168.50 × (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 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 contributed1/4 of the work, Pat contributed 1/5 of the work, and Matt contributed the rest. Whocontributed the most toward this project?A) Jack B) Jill C) Pat D) Matt12.Which of the following numbers is a factor of 2016?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 Bob won four times as much asCy. If Al won $1536, how much did Al, Bob, and Cy win together?A) $96 B) $384 C) $1920 D) $201615.The sum of two composites cannot beA) odd B) even C) 11 D) 1716.If a and b are positive integers such that a/b = 5/7, then a + 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 2015?A) 3 B) 365 C) 1095 D) 328518.If the current month is February, what month will it be 1 199 999 months from now?A) January B) February C) March D) April19.Two angles are complementary. One of these angles is 36° less than the other. What is themeasure 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) 6421.In ∆ABC, m∠A–m∠B = m∠B–m∠C. What is the degree measure of ∠B?A) 30 B) 60 C) 90 D) 12022.For every 3 math books I bought, I bought 2 biology books. I bought 55 books in all. Howmany of those are math books?A) 11 B) 22 C) 33 D) 4423.John wrote a number whose digits consists entirely of 1s. This number was a compositenumber. His number could contain exactly ? 1s.A) 17 B) 19 C) 29 D) 3224.Weird Town uses three types of currencies: Cons, Flegs, and Sels. If 3 Sels = 9 Cons and 2Cons = 4 Flegs, then 5 Sels = ? Flegs.A) 12 B) 24 C) 30 D) 36第1页,共4页25.If the length of a rectangular prism with volume V is doubled while the width and theheight are halved, the volume of the new prism will beA) 4V B) V/2 C) V D) 2V26.Rick and Roy each stands at different ends of a straight road that is 64 m long. They runtoward each other. Rick’s speed is 3 m/s and Roy’s speed is 5 m/s. They will meet in? seconds.A) 1 B) 2 C) 4 D) 827.If the area of a certain circle is 2016, its radius isA) sqrt(2016/π) B) sqrt(4032/π)C) 2016/πD) 1008/π28.In a toy shop, the cost of a Teddy Bear is 200% as much as that of a toy train. The cost ofa toy train is 6/5 the cost of a pack of the wooden blocks. The cost of a pack of woodenblocks is $50. What is the cost, in dollars, of the Teddy Bear?A) 60 B) 100 C) 120 D) 20029.In the sequence 2016, 225, 141, 66, 432, 99, 1458 …, each term after the first term is thesum of the cubes of the digits of the previous term. What is the 100th term of thissequence?A) 153 B) 351 C) 370 D) 37130.What is the sum of all the positive divisors of 210?A) 210 – 1 B) 211 – 1 C) 212 – 1 D) 213 – 131.It takes 4 hours for Mike and Lucy to finish a task. It takes Lucy and Jerry 5 hours tofinish the same task. And it takes 6 hours for Mike and Jerry to finish the same task. Lucy and Jerry first work on the task for 1 hour and 45 minutes. Then Mike takes over the task on his own. How many more hours does it take for Mike to finish the task?A) 3 B) 4 C) 5 D) 632.If you sell a cloth at its current price, you get $40 profit. The total profit you get selling 10clothes at 70% of its current price is equal to the total profit you get selling 20 clothes at $82 per cloth. What is the current price of a cloth?A) 80 B) 100 C) 120 D) 12533.There are 6 identical squares in the figure on the right. The side length of eachsquare is 1. Of all the triangles constructed by connecting three of the 18vertices in the figure, how many of them are triangles whose area is 2 andwhich has at least one vertical or horizontal side?A) 12 B) 16 C) 24 D) 2834.Pick up N numbers from 1 to 2015 inclusively, such that the sum of any three of the Nnumbers is divisible by 24. What is the maximum value of N?A) 83 B) 84 C) 168 D) 252 35.汤姆有一件花了64美金买来的衬衫,他打算以比原价高出25%的价格出售,他会卖出多少钱？A) $16 B) $32 C) $48 D) $8036.满足以下条件的最小整数是多少：“除以3余2,除以5余4,除以7余6。

【2018最新】小学三年级奥数走美杯大赛填空题-word范文
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小学三年级奥数走美杯大赛填空题
1.201X201X-201X201X=_______;
答案：(10001)
解：201X10001-201X10001=(201X-201X)10001=10001;
2.3737+26337+6363=__________;
答案：(10000)
解：37(37+63)+63(37+63)=100(37+63)=100100=10000;
3.右边的一排方格中，除9、8外，每个方格中的字都表示一个数(不同的字可以表示相同的数)，已知其中任何3个连续方格中的数相加起来都为22，则“走”+“进”+“数”+“学”+“花”+“园”=_________;
答案：(40)
解：“走”+“进”=13;“数”+“学”=13;“花”=9，
“园”=5;13+13+9+5=40;
4.“走美比萨店”共有5名员工，2名厨房每周分别工作36小时，每小时工资10美元;3名服务生每周工作30小时，每小时工资5美元。

如果你是“走美比萨店”的老板，你每周该向员工支付的工资一共为________美元;
答案：(1170)
解：23610+3305=1170;。