MATH11.docx

MATH11.docx

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MATH11

MathSection

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Q1:

Attheopeningofatradingdayatacertainstockexchange,thepricepershareofstockKwas$8.IfthepricepershareofstockKwas$9attheclosingoftheday,whatwasthepercentincreaseinthepricepershareofstockKforthatday?

A.1.4%

B.5.9%

C.11.1%

D.12.5%

E.23.6%

Answer:

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Q2:

Whichofthefollowingisequalto（212–26）/（26–23）?

A.26+23

B.26–23

C.29

D.23

E.2

Answer:

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Q3:

Whatistheprobabilitythatastudentrandomlyselectedfromaclassof60studentswillbeamalewhohasbrownhair?

（1）One-halfofthestudentshavebrownhair.

（2）One-thirdofthestudentsaremales.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q4:

John,Karen,andLukecollectedcansofvegetablesforafooddrive.ThenumberofcansthatJohncollectedwas1/2thenumberofcansthatKarencollectedand1/3thenumberofcansthatLukecollected.ThenumberofcansthatLukecollectedwaswhatfractionofthetotalnumberofcansthatJohn,Karen,andLukecollected?

A.1/5

B.1/3

C.2/5

D.1/2

E.2/3

Answer:

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Q5:

Thesidesofasquareregion,measuredtothenearestcentimeters,are6centimeterslong.Theleastpossiblevalueoftheactualareaofthesquareregionis

A.36.00sqcm

B.35.00sqcm

C.33.75sqcm

D.30.25sqcm

E.25.00sqcm

Answer:

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Q6:

Forallintegersxandy,theoperationisdefinedbyxy=（x+2）2+（y+3）2.Whatisthevalueofintegert?

（1）t2=74

（2）2t=80

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q7:

Beforeacertaintireisused,40percentofitstotalweightconsistsoftread.Ifduringalifetimeofuse,50percent,byweight,ofthetire’streadislostandnootherpartsofthetireislost,whatpercentofthetire’stotalremainingweightconsistsoftheremainingtread?

A.55%

B.20%

C.25%

D.30%

E.35%

Answer:

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Q8:

Whenpositiveintegerxisdividedby5,theremainderis3;andwhenxisdividedby7,theremainderis4.Whenpositiveintegeryisdividedby5,theremainderis3;andwhenyisdividedby7,theremainderis4.Ifx>y,whichofthefollowingmustbeafactorofx-y?

A.12

B.15

C.20

D.28

E.35

Answer:

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Q9:

Ifxandyarenonzerointegers,is18afactorofxy2?

（1）xisamultipleof54.

（2）yisamultipleof6.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q10:

Is（t/3）>（w/5）?

（1）w>t

（2）5t>3w

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q11:

Acertaincompanythatsellsonlycarsandtrucksreportedthatrevenuesfromcarsalesin1997weredown11percentfrom1996andrevenuesfromtrucksalesin1997wereup7percentfrom1996.Iftotalrevenuesfromcarsalesandtrucksalesin1997wereup1percentfrom1996,whatistheratioofrevenuefromcarsalesin1996torevenuefromtrucksalesin1996?

A.1:

2

B.4:

5

C.1:

1

D.3:

2

E.5:

3

Answer:

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Q12:

Whichofthefollowingisequalto[1/（√3-√2）]2?

A.1

B.5

C.√6

D.5-√6

E.5+2√6

Answer:

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Q13:

Onacertainday,Timinvested$1,000at10percentannualinterest,compoundedannually,andLanainvested$2,000at5percentannualinterest,compoundedannually.ThetotalamountofinterestearnedbyTim’sinvestmentinthefirst2yearswashowmuchgreaterthanthetotalamountofinterestearnedbyLana’sinvestmentinthefirst2years?

A.$5

B.$15

C.$50

D.$100

E.$105

Answer:

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Q14:

Foraconvention,ahotelchargesadailyroomrateof$120for1personandxdollarsforeachadditionalperson.Whatisthechargeforeachadditionalperson?

（1）Thedailycostperpersonfor4peoplesharingthecostofaroomequallyis$45.

（2）Thedailycostperpersonfor2peoplesharingthecostofaroomequallyis$25morethanthecorrespondingcostfor4people.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q15:

Isxy>x/y?

（1）xy>0

（2）y<0

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q16:

Isr>-1?

（1）r>-5

（2）r<16

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q17:

Ifthevolumeofasmallcontaineris14,520cubicmillimeters,whatisthevolumeofthecontainerincubiccentimeters?

（1millimeter=0.1centimeter）

A.0.1452

B.1.452

C.14.52

D.145.2

E.1,452

Answer:

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Q18:

2x+y=12

y≤12

Forhowmanyorderedpairs（x,y）thataresolutionsofthesystemabovearexandybothintegers?

A.7

B.10

C.12

D.13

E.14

Answer:

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Q19:

Inthexy-plane,thesidesofacertainrectangleareparalleltotheaxes.Ifoneoftheverticesoftherectangleis（-1,-2）,whatistheperimeteroftherectangle?

（1）Oneoftheverticesoftherectangleis（2,-2）.

（2）Oneoftheverticesoftherectangleis（2,3）.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,butNEITHERstatementALONEissufficient.

D.EACHstatementALONEissufficient.

E.Statements

（1）and

（2）TOGETHERareNOTsufficient.

Answer:

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Q20:

Tom,Jane,andSueeachpurchasedanewhouse.Theaverage（arithmeticmean）priceofthethreehouseswas$120,000.Whatwasthemedianpriceofthethreehouses?

（1）ThepriceofTom’shousewas$110,000.

（2）ThepriceofJane’shousewas$120,000.

A.Statement

（1）ALONEissufficient,butstatement

（2）aloneisnotsufficient.

B.Statement

（2）ALONEissufficient,butstatement

（1）aloneisnotsufficient.

C.BOTHstatementsTOGETHERaresufficient,bu