029-85381932
西安雅思备考网 - 思润雅思备考网>SAT>SAT数理化>SAT数学练习题整理2

SAT数学练习题整理2

2019-02-15 10:52来源:浏览:

SAT频道为大家带来SAT数学练习题整理2一文,希望对大家SAT备考有所帮助。更多精彩尽请关注SAT频道! 1. Which...
思润sat频道为大家带来练习题整理2一文,希望对大家SAT备考有所帮助。更多精彩尽请关注思润SAT频道!

1.Whichofthefollowingcouldbeavalueofx,inthediagramabove?

A.10

B.20

C.40

D.50

E.anyoftheabove

2.Helpersareneededtoprepareforthefete.Eachhelpercanmakeeither2largecakesor35smallcakesperhour.Thekitchenisavailablefor3hoursand20largecakesand700smallcakesareneeded.Howmanyhelpersarerequired?

A.10

B.15

C.20

D.25

E.30

3.Jo'scollectioncontainsUS,IndianandBritishstamps.IftheratioofUStoIndianstampsis5to2andtheratioofIndiantoBritishstampsis5to1,whatistheratioofUStoBritishstamps?

A.5:1

B.10:5

C.15:2

D.20:2

E.25:2

4.A3by4rectangleisinscribedincircle.Whatisthecircumferenceofthecircle?

A.2.5π

B.3π

C.5π

D.4π

E.10π

5.Twosetsof4consecutivepositiveintegershaveexactlyoneintegerincommon.Thesumoftheintegersinthesetwithgreaternumbersishowmuchgreaterthanthesumoftheintegersintheotherset?

A.4

B.7

C.8

D.12

E.itcannotbedeterminedfromtheinformationgiven.

6.Iff(x)=(x+2)/(x-2)forallintegersexceptx=2,whichofthefollowinghasthegreatestvalue?

A.f(-1)

B.f(0)

C.f(1)

D.f(3)

E.f(4)

7.ABCDisasquareofside3,andEandFarethemidpointsofsidesABandBCrespectively.WhatistheareaofthequadrilateralEBFD?

A.2.25

B.3

C.4

D.4.5

E.6

8.Ifn≠0,whichofthefollowingmustbegreaterthann?

I2n

IIn2

III2-n

A.Ionly

B.IIonly

C.IandIIonly

D.IIandIIIonly

E.None

9.Afterbeingdroppedacertainballalwaysbouncesbackto2/5oftheheightofitspreviousbounce.Afterthefirstbounceitreachesaheightof125inches.Howhigh(ininches)willitreachafteritsfourthbounce?

A.20

B.15

C.8

D.5

E.3.2

10.nandpareintegersgreaterthan1

5nisthesquareofanumber

75npisthecubeofanumber.

Thesmallestvalueforn+pis

A.14

B.18

C.20

D.30

E.50

1.CorrectAnswer:B

Explanation:

Themarkedangle,ABCmustbemorethan90degreesbecauseitistheexternalangleoftriangleBDC,andmustbeequaltothesumofanglesBDC(90)andDCB.

AlsoABCisnotastraightlineandmustbelessthan180.

Therefore90<5x<180

Theonlyvalueofxwhichsatisfiesthisrelationis20.

2.CorrectAnswer:A

Explanation:

20largecakeswillrequiretheequivalentof10helpersworkingforonehour.700smallcakeswillrequiretheequivalentof20helpersworkingforonehour.Thismeansifonlyonehourwereavailablewewouldneed30helpers.Butsincethreehoursareavailablewecanuse10helpers.

3.CorrectAnswer:E

Explanation:

Indianstampsarecommontobothratios.MultiplybothratiosbyfactorssuchthattheIndianstampsarerepresentedbythesamenumber.

US:Indian=5:2,andIndian:British=5:1.Multiplythefirstby5,andthesecondby2.

NowUS:Indian=25:10,andIndian:British=10:2

HencethetworatioscanbecombinedandUS:British=25:2

4.CorrectAnswer:C

Explanation:

Drawthediagram.Thediagonaloftherectangleisthediameterofthecircle.Thediagonalisthehypotenuseofa3,4,5triangle,andistherefore,5.

Circumference=π.diameter=5π

5.CorrectAnswer:D

Explanation:

Iftwosetsoffourconsecutiveintegershaveoneintegerincommon,thetotalinthecombinedsetis7.,andwecanwritethesetsas

n+(n+1)+(n+2)+(n+3)and

(n+3)+(n+4)+(n+5)+(n+6)

Notethateachterminthesecondsetis3morethantheequivalentterminthefirstset.Sincetherearefourtermsthetotalofthedifferenceswillbe4x3=12

6.CorrectAnswer:D

Explanation:

Youcansolvethisbybacksolving–substitutetheanswerchoicesintheexpressionandseewhichgivesthegreatestvalue.sat

A(-1+2)/(-1-2)=-2/2=-1;

B(0+2)/(0-2)=2/-2=-1;

C(1+2)/(1-2)=3/-1=-3;

D(3+2)/(3-2)=5/1=5;

E(4+2)/(4-2)=6/2=3

Ifyouhadjustchosenthelargestvalueforxyouwouldhavebeenwrong.Soalthoughitlooksalongmethod,itisactuallyquickandaccuratesincethenumbersarereallysimpleandyoucandothemathinyourhead.

7.CorrectAnswer:D

Explanation:

(Totalareaofsquare-sumoftheareasoftrianglesADEandDCF)willgivetheareaofthequadrilateral

9-(2xx3x1.5)=4.5

8.CorrectAnswer:E

Explanation:

Rememberthatncouldbepositivenegativeorafraction.Tryoutafewcases:

IncaseI,ifnis-1,then2nislessthann.

IncaseII,ifnisafractionsuchasthenn2willbelessthann.

IncaseIII,ifnis2,then2-n=0,whichislessthann.

Therefore,noneofthechoicesmustbegreaterthann

9.CorrectAnswer:C

Explanation:

Ifaftereachbounceitreaches2/5ofthepreviousheight,thenafterthesecondbounceitwillreach2/5x125.Afterthethirditwillreach2/5x2/5x125.Afterthefourthitwillreach2/5x2/5x2/5x125.Thiscancelsdownto2x2x2=8

10.CorrectAnswer:A

Explanation:

Thesmallestvaluefornsuchthat5nisasquareis5.

75npcannowbewrittenas75x5xp.

Thisgivesprimefactors....3x5x5x5xp

Tomaketheexpressionaperfectcube,pwillhavetohavefactors3x3,andhencep=9

n+p=5+9=14

以上就为大家整理的“SAT数学练习题整理2”,更多精彩内容,请关注思润SAT频道。
更多雅思托福提分内容,免费为你解答!点击咨询→