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2015-2016年度美国“数学大联盟杯赛”(中国赛区)初赛

羃(五年级)

ymathtestcorrectly,Ianswered?%ofthequestionscorrectly.

袂

A)75

荿

B)80

莅…………………………… 袃C)85

7.

8. 芃120÷3÷4×12=

螇

A)1

莈

B)10

蒂C)12

………………………………线……………………………………………订……………………………………………装……………………………………… ………芈薃(初赛时间：2015年11月14日，考试时间90分钟，总分200分)

肀学生诚信协议：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，

羆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。 肃如果您同意遵守以上协议请在装订线内签名

蚀选择题：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. 2.

蒇A6by6squarehasthesameareaasa4by?rectangle.

螅A)3 膃B)6 3. 4. 螇Everyprimehasexactly?positivedivisors.

芃A)1

蒁B)2

5.

6. 莃IfIanswered34outof40questionsonm

C)8 C)3

9. 10. 莁10×20×30×40=24×? 罿A)1000 莄B)10000 11. 12. 蚈Oneofmyboxescontains1pencilandtheotherseachcontain5pencils.Ifthereare101pencilsinmyboxes,howmanyboxesdoIhave? 蒄A)19 肄B)20 13. 14. 薄Anelectricalcompanyimports2016lightbulbs.Unfortunately,25% 蒅ofthosearedamaged.Howmanylightbulbsarenotdamaged? D)9 芃A)25

蒀B)504

15.

16. 蚁50×(16+24)isthesquareof

艿A)-40

螄B)-4

D)4ormore 17. 18. 肈Whichofthefollowingnumbershasexactly3positivedivisors?

C)1000

C)21

C)1512

C)4

蚃

蒁 腿

蚄肁准考证号所在学校年级姓名(签名)

薆

羃蚇

肈A)49

莃B)56

袀C)69

肀D)100 A)3

B)365 C)1095

19. 20. 膈Tenpeoplestandinaline.Countingfromtheleft,Jerrystandsatthe5thposition29. IfthecurrentmonthisFebruary,whatmonthwillitbe1199999monthsfromnow?

A)January

B)February

C)March

.Countingfromtheright,whichpositionisheat?

螄A)4

薂B)5

衿C)6

膅

21. 22. 薈Onateamworkproject,Jackcontributed2/7ofthetotalamountofwork,Jillcon tributed1/4ofthework,Patcontribute羀第1页，共4页d1/5ofthework,andMattcontributedtherest.Whocontributedthemosttowardthisproject?

B)Jill C)Pat 莈A)Jack 23. Whichofthefollowingnumbersisafactorof2016? A)5 B)11 C)48 24. 2×4×8×16×32×64= A)210 B)215 C)221 25. Onagameshow,AlwonfourtimesasmuchasBob,andBobwonfourtimesasmuchasCy.IfAlwon$1536,howmuchdidAl,Bob,andCywintogether? A)$96 B)$384 C)$1920 ……………26. Thesumoftwocompositescannotbe ……………A)odd B)even C)11 ………………27. Ifaandbarepositiveintegerssuchthata…/b=5/7,thena+bis …………………A)12 B)24 C)36 ………28. Whatisthegreatestoddfactorofthenu…………mberofhoursinallthedaysoftheyear2…题………015? ………………………线……答………30. Twoanglesarecomplementary.Oneof

theseanglesis36°lessthantheother.W

hatisthemeasureofthelargerangle?

芈D)7

A)36° B)54° C)63°31. (Thesquarerootof16)+(thecuberootof64)+(the4throotof256)= A)12 B)24 C)32

32. In?ABC,m∠A–m∠B=m∠B–m∠C.Whatisthedegreemeasureof∠B?

A)30 B)60 C)90

33. Forevery3mathbooksIbought,Ibought2biologybooks.Ibought55booksinD)Matt all.Howmanyofthosearemathbooks? A)11 B)22 C)33 34. Johnwroteanumberwhosedigitsconsistsentirelyof1s.Thisnumberwasacompositenumber.HisnumbercouldconD)99 tainexactly?1s. A)17 B)19 C)29

D)212035. WeirdTownusesthreetypesofcurrencies:Cons,Flegs,andSels.If3Sels=9Consand2Cons=4Flegs,then5Sels=?Flegs. A)12 B)24 C)30 D)$2016 36. IfthelengthofarectangularprismwithvolumeVisdoubledwhilethewidthandtheheightarehalved,thevolumeofthD)17 enewprismwillbe A)4V B)V/2 C)V

37. RickandRoyeachstandsatdifferentenD)notabletobedetermined dsofastraightroadthatis64mlong.Theyruntowardeachother.Rick’sspeedis3m/sandRoy’sspeedis5m/s.Theywillmeetin ?seconds.

A)1 B)2 C)4 38. Iftheareaofacertaincircleis2016,itsra

diusis

A)sqrt(2016/π) B)sqrt(4032/π) C)2016/π

D)1008/π

39. Inatoyshop,thecostofaTeddyBearis2

00%asmuchasthatofatoytrain.Thecostofatoytrainis6/5thecostofapackofthewoodenblocks.Thecostofapackofwoodenblocksis$50.Whatisthecost,indollars,oftheTeddyBear? A)60 B)100 C)120 40. Inthesequence2016,225,141,66,432,99,1458…,eachtermafterthefirsttermisthesumofthecubesofthedigitsofthepreviousterm.Whatisthe100thtermofthissequence? A)153 B)351 C)370 41. Whatisthesumofallthepositivedivisorsof210? A)210–1 B)211–1 C)212–1 42. Ittakes4hoursforMikeandLucytofinishatask.IttakesLucyandJerry5hourstofinishthesametask.Andittakes6hoursforMikeandJerrytofinishthesametask.LucyandJerryfirstworkonthetaskfor1hourand45minutes.ThenMiketakesoverthetaskonhisown.HowmanymorehoursdoesittakeforMiketofinishthetask? A)3 B)4 C)5 43. Ifyousellaclothatitscurrentprice,you

get$40profit.Thetotalprofityougetselling10clothesat70%ofitscurrentpriceisequaltothetotalprofityougetselling20clothesat$82percloth.Whatisthecurrentpriceofacloth?

A)80

B)100

C)120

44. Thereare6identicalsquaresinthefigur

eontheright.Thesidelengthofeach

D)8

squareis1.Ofallthetrianglesconstructedbyconnectingthreeofthe18

verticesinthefigure,howmanyofthemaretriangleswhoseareais2and

whichhasatleastoneverticalorhorizontalside? A)12

B)16

C)24

45. PickupNnumbersfrom1to2015inclusively,suchthatthesumofanythreeoftheNnumbersisdivisibleby24.WhatisthemaximumvalueofN? A)83 B)84 C)168

D)200 46. 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

47. 满足以下条件的最小整数是多少：D)371 “除以3余2，除以5余4，除以

7余6。” A)59 B)61 C)104 48. 飞人以每小时360千米的速度飞D)213–1 行，这相当于每秒多少米？

A)10 B)36 C)64 49. 设A为一个可整除11但不可整除10的正整数，若B为一个颠倒A数位的整数，那么B必须被几整除？ A)11 B)22

C)33 D)A,B,C

50. 珍妮花50美金买了一条围巾。她D)6 一开始准备以60美金卖出，然后把价格增加25%，再把新的价格减少20%并且出售。在这笔交易之中，她?。

A)赚了7美金 B)赚了C)亏了7美金

D)亏了51. A,B两个袋子里分别有若干个球，D)125 A袋球和B袋球的数量比是4:1。从A袋中取出若干个球放入B袋后，A袋球和B袋球的数量之比变为8:3；再从B袋中取出若干个球放入A袋后，A袋球和B袋球的