美加本科SAT直通车在线测试题目数学.docx

美加本科SAT直通车在线测试题目数学.docx

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美加本科SAT直通车在线测试题目数学

SECTION2

Time—25minutes

20Questions人生中最幸福的就是身体健康

TurntoSection2（page4）ofyouranswersheettoanswerthequestionsinthissection.

Directions:

Forthissection,solveeachproblemanddecidewhichisthebestofthechoicesgiven.Fillinthe

correspondingcircleontheanswersheet.Youmayuseanyavailablespaceforscratchwork.

1.Thetotalcostof5equallypricednotebooksis$12.50.Ifthecostpernotebookisreducedby$1,howmuchwill3ofthesenotebookscostatthenewrate?

（A）$4.50

（B）$5.00

（C）$6.50

（D）$7.50

（E）$9.50

A

2.Theprimenumberpisafactorof30andisalsoafactorof42.Howmanypossiblevaluesarethereforp?

（A）One

（B）Two

（C）Three

（D）Four

（E）Five

B

3.Thedigitsofthepositivethree-digitintegernare7,8,and9.Howmanypossiblevaluesarethereforn?

（A）Three

（B）Four

（C）Six

（D）Eight

（E）Nine

C

4.Accordingtothegraphabove,forwhichmonthwassalesminuscostgreatest?

（A）June

（B）July

（C）August

（D）September

（E）October

D

5.CompanyRmakescarsinmanylocationsaroundtheworld.Thegraphaboveshowswhereitscarsweremadein2003.Ifthecompanymade5,000,000carsin2003,howmanyofthesecarsweremadeinSouthAmerica?

（A）50

（B）500

（C）5,000

（D）50,000

（E）500,000

E

6.Whichofthefollowingcouldbetheequationofthegraphoffunctiong,shownabove?

（A）g（x）=x2-3x+2

（B）g（x）=x2-2x+1

（C）g（x）=x2+x+3

（D）g（x）=x2+2x-1

（E）g（x）=x2+3x-2

D

7.

（A）0

（B）1

（C）x

（D）

（E）x–1

A

8.InisoscelestriangleABC,themeasureofangleAis

80degree.Ifanotherangleofthetrianglemeasuresxdegree,wherex≠80,whatisonepossiblevalueofx?

20

9.Inthediagramofroadsabove,thenumbersrepresent

roaddistancesinmiles,andthearrowsshowtheonly

directionsinwhichtravelispermittedontheroads.If

thelengthofthelongestroutefromAtoBisTmiles,

andifthelengthoftheshortestroutefromAtoBis

Smiles,thenT-S=

（A）9

（B）8

（C）7

（D）3

（E）2

E

10.Howmanyoftheprimefactorsof30aregreaterthan2?

（A）One

（B）Two

（C）Three

（D）Four

（E）Five

E

11.Sixpointsareplacedonacircle.Whatisthegreatest

numberofdifferentlinesthatcanbedrawnsothat

eachlinepassesthroughtwoofthesepoints?

（A）12

（B）15

（C）25

（D）30

（E）36

C

12.Inthefigureabove,iftheareaoftriangleCAFis

equaltotheareaofrectangleCDEF,whatisthe

lengthofsegmentAD?

（A）7/2

（B）5

（C）7

（D）15/2

（E）15

C

13.Threelinesaredrawninaplanesothatthereareexactlythreedifferentintersectionpoints.Intohowmanynonoverlappingregionsdotheselinesdividetheplane?

（A）Three

（B）Four

（C）Five

（D）Six

（E）Seven

E

14.Inthefigureabove,OisthecenterofthecircleandsegmentACistangenttothecircleatpointB.Ifthemeasureof∠ABOisx°,howmanypossiblevaluesarethereforx?

（A）One

（B）Two

（C）Three

（D）Four

（E）Morethanfour

A

15.Flour,water,andsaltaremixedbyweightintheratio

of5:

4:

1,respectively,toproduceacertaintypeof

dough.Inordertomake5poundsofthisdough,what

weightofsalt,inpounds,isrequired?

（A）1/4

（B）1/2

（C）3/4

（D）1

（E）2

B

16.Thecitylibrarydonatedsomechildren’sbookstoMr.

Clark’sfirst-gradeclass.Ifeachstudenttakes4books,

therewillbe20booksleft.If3studentsdonottakea

bookandtherestofthestudentstake5bookseach,

therewillbenobooksleft.Howmanybookswere

donatedtotheclass?

（A）120

（B）140

（C）160

（D）175

（E）185

C

17.Bernardodrivestoworkatanaveragespeedof50milesperhourandreturnsalongthesamerouteatanaveragespeedof25milesperhour.Ifhistotaltraveltimeis3hours,whatisthetotalnumberofmilesintheround-trip?

（A）225

（B）112.5

（C）100

（D）62.5

（E）50

C

18.OnMondaymorningMr.Smithhadacertainamountofmoneythatheplannedtospendduringtheweek.Oneachsubsequentmorning,hehadonefourththeamountofthepreviousmorning.OnSaturdaymorning,5dayslater,hehad$1.HowmanydollarsdidMr.SmithoriginallystartwithonMondaymorning?

（Disregardthe$signwhengriddingyouranswer.）

4096

19.Thefigureaboveshowsthreesquareswithsidesoflength5,7,andx,respectively.IfA,B,andClieonlinel,whatisthevalueofx?

9

RESULTSOFBEANBAGGAME

Numberof

Throws

Numberof

People

1

7

2

6

3

6

4

4

5

2

20.Inacertaingame,eachpersonthrewabeanbagatatargetuntilthepersonmissedthetarget.Thetableshowstheresultsforthe25peoplewhoplayedthegame.Forexample,4peoplehitthetargetontheirfirst3throwsandmissedontheir4ththrow.Basedontheinformationinthetable,whichofthefollowingmustbetrue?

I.Morethanhalfthepeoplehitthetargetontheirfirstthrow.

II.Forallofthethrowsattempted,morehitthetargetthanmissedthetarget.

III.Noonehitthetarget5times.

（A）Ionly

（B）IIonly

（C）IandIIIonly

（D）IIandIIIonly

（E）I,II,andIII

E

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就像驴子面前吊着个萝卜就会往前走。

正因为有那个目标，你才有劲儿往前走。