Sixty-eightpeoplearesittingin20carsandeachcar

containsatmostApeople.Whatisthemaximum

possiblenumberofcarsthatcouldcontainexactly

1ofthe68people?

02

03

04

08

102

@c

Ifnisanyprimenumbergreaterthan2,which

□fthefollowingCANNOTbeaprimenumber?

0

0

0

0

0

2

@E

In1988Mr.Smithsannualincomewasgreater

thanMrs.Smithesannualincome.In1989

Mr.Smith'sannualincomedecreasedbyppercent,

whereasMrs.Smithsannualincomeincreasedby

ppercent,(p>0)

ColumnAColumnB

Mr.andMrs.Smith'sMr.andMrs.Smithfs

combinedannualincomecombinedannualincome

in1988in1989

3

@A

Howmanyintegersbetween101and201areequal

tothesquareofsomeinteger?

OTwo

OThree

OFour

OFive

4OSix

@C

Thepriceofacertainstockwas12：dollarspershare.

5

Thepriceincreasedxpercentto15gdollarspershare.

ColumnAColumnB

5k20

@A

The'reflectionofapositiveintegerisobtainedby

reversingitsdigits.Forexample,321isthereflection

of123.Thedifferencebetweenafive-digitinteger

anditsreflectionmustbedivisiblebywhichofthe

following?

0

02

0A

05

06

9

@E

ColumnAColumnB

1

1.03

1-0.03

@A

TheoriginalvalueofmachineXisI/dollars,while

theoriginalvalueofmachine/is21/dollars.Both

machinesdepreciateinvalueataconstantrateof

10percentoftheiroriginalvalueperyear.

ColumnAColumnB

ThevalueofmachineXThevalueofmachine丫

after3yearsafter6years

@B

Ifnisanoddinteger,whichofthefollowingisthe

squareofthenextlargeroddinteger?

O??2+1

O+4

Oz?2+2z?+1

OM+4

Oz?2+??+1

9

@D

2

If55percentofagroupofpeoplehavebrownhairand80percent

ofthesamegroupdonothaveredhair,whatfractionofthosewho

donothavebrownhairhaveredhair?

1

O4一

4-

O

141

-

O9

5

-

O9

4

-

O5

10

@c

K+3

n=~r~

V

Intheequationabove,K,r,s,尢andvrepresentpositivenumbers.

Multiplyingwhichoneofthesenumbersby2willreducethevalue

ofnto|ofitspresentvalue?

0

0

0

0

0

Acertainmoneymarketaccountthathadabalanceof$48,000

duringalloflastmonthearned$360ininterestforthemonth.

Atwhatsimpleannualinterestratedidtheaccountearninterest

lastmonth?

07%

0%

07.5

08%%

0

28.5

9%

@E

ColumnAColumnB

Thetwo-digitintegerthat16

equalstwicethesumof

[3itsdigits

@A

3

Whentheevenintegernisdividedby7,

theremainderis3.

ColumnAColumnB

Theremainderwhen10

nisdividedby14

14

@C

Acartravelsatanaveragespeedof80kilometersperhourduringa6-hourtripand

averages75kilometersperhourforthefirstAhoursofthetrip.Whichofthefollowing

distance-versns-(\megraphsisconsistentwiththisinformation?

050o050o

s(48o246o

8』40o840o

U<-D3-

533ooW3oo

JU0

S05

5妄2oo2oo

U

UooD

)-11oo

246

Time(inhours)

246246

Time(inhours)Time(inhours)

00

?1800

里75

S

W

O5o

P

I

U

D

246

Time(inhours)246

Time(inhours)

1@5

A

Thenumberofhouseholdsreceiving

monthlybenefitsin1960wasapproxi-

GOVERNMENTAIDTOFAMILIESmatelywhatfractionofthenumber

WITHDEPENDENTCHILDREN

receivingmonthlybenefitsin1975?

AverageMonthlyBenefitperHousehold

旦

oW

in1960

dollars05

6

I-Iinactual-

1-1yeardollars0

16

19601965197019751980198527

011

NumberofHouseholdsReceiving

382

0

(35

S

U

O

=

E

w

)

Note:Graphsdrawntoscale.

@E

4

The“combinedage“ofagroupofpeople

isthesumoftheagesofallofthepeople

inthegroup.Whichofthefollowing

groupshadthegreatestcombinedagein

1986?

O20-year-oldmales

O20-year-oldfemales

O60-year-oldmales

O60-year-oldfemales

O80-year-oldfemales

17

@D

Thesequestionsrefertothefollowinggraphs,Approximatelyhowmanymore10-year-

whicharedrawntoscale.Agesareinwholeoldchildrenweretherein1980thanin

yearscompletedbyDecember31.1986?

DISTRIBUTIONOFTHEUNITEDSTATESPOPULATION0

100,000

BYAGEANDSEX,1980AND19860

0200,000

0300,000

0400,000

1,000,000

@D

5

Thepopulationoffemaleswasgreaterin

1980thanin1986forapproximatelywhat

percentoftheagesfrom0to100years?

O15%

O25%

O55%

O75%

O85%

19

@B

In1980theratioofthenumberofmales

tothenumberoffemaleswasgreatestfor

whichofthefollowingages?

0

010

030

050

070

90

20

@A

[x\representsthegreatestintegerlessthanor

equaltoxand\x]representstheleastinteger

greaterthanorequaltoz.

ColumnAColumnB

1.4

@A

Thesequestionsrefertothefollowingtable.Iftheactualtemperatureis13degrees

Fahrenheitandthewindspeedis14miles

APPARENTFAHRENHEITTEMPERATURESperhour,thentheapparenttemperature

DUETOWIND-CHILLFACTORcouldbe

(correspondingtoactualtemperaturesandwindspeeds)

WINDSPEEDSACTUALTEMPERATURESO5degreesFahrenheit

(milesperhour)(degreesFahrenheit)O-12degreesFahrenheit

-100102030O-20degreesFahrenheit

5-15-51627O-25degreesFahrenheit

10-34-22316O-32degreesFahrenheit

15-45-31~59

20-53-39-104

25-59-44-151

30-64-49-18-2

35-67-52-20-4

40-69-53-21-5

22

@B

6

Thesequestionsrefertothefollowingtable.Whichofthefollowingcanbeinferredfrom

thetable?

APPARENTFAHRENHEITTEMPERATURES

DUETOWIND-CHILLFACTORI.Theapparenttemperatureforan

(correspondingtoactualtemperaturesandwindspeeds)

actualtemperatureof20degrees

WINDSPEEDSACTUALTEMPERATURESFahrenheitandawindspeedof

(milesperhour)(degreesFahrenheit)15milesperhouristhesameas

-100102030thatforanactualtemperatureof

5-15-5162730degreesFahrenheitandawind

10-34-22316speedof40milesperhour.

15-45-31-59II.Ataconstantwindspeed,asthe

20-53-39-104actualtemperatureincreases,the

25-59-44-151differencebetweentheactualand

30-64-49-18-2theapparenttemperaturesalso

-67-20-4

35-52increases.

40-69-53-21-5

III.Ataconstantactualtemperatureof

-10degreesFahrenheit,theapparent

temperaturedecreasesataconstant

rateasthewindspeedincreases.

OIonlyOIIonlyOIandIIIonly

OIIandIIIonlyOI,II,andIII

23

@A

Thesequestionsrefertothefollowinggraphs,whicharedrawntoscale.Anopendotmeans

thepointisnotincluded.

PRICEOFABRANDXCANDYBAR

$o

$o

@

e$o

-$oWEIGHTOFABRANDXCANDYBAR

o(

$os

pg

u$ou

)_n

$o口

￡

$o)

$o-

$o-&-

◎

From1982to1987thepriceofaBrandXcandy

barincreasedbyapproximatelywhatpercent?

04o/ooz

05o/oo/

07o/oo/

015ooz

0o/o

25o/o/

2@4

c

7

Thesequestionsrefertothefollowinggraphs,whicharedrawntoscale.Anopendotmeans

thepointisnotincluded.

PRICEOFABRANDXCANDYBAR

$o

$0.o

@0.

e$0.o

=$oOFABRANDXCANDYBAR

o0.

p$0.o

$0.o

_u

)$0.o

CDo$0.o0

u0.

d$0.o

$o

Howmanytimesbetween1971and1991didthepriceofa

Brand丫candybarincreasewhiletheweightdecreased?

OOne

OTwo

OThree

OFour

25OFive

@B

PRICEOFABRANDXCANDYBAR

Year

Howmanytimesbetween1971and1991didthepriceofa

BrandXcandybarincreasewhiletheweightdecreased?

OOne

OTwo

OThree

OFour

26OFive

@B

8

Ofthe500delegatesattendingaconvention,200are

RepublicansandtherestareDemocrats.Onehundred

ofthedelegatesarevegetariansand,ofthosewho

arenotvegetarians,270areDemocrats.Howmany

ofthevegetariandelegatesareRepublicans?

0

03LI

04。

050

0hi：i

70

27

@E

Sisasetofnconsecutiveintegers.

ColumnAColumnE

ThemeanofSThemedianofS

28

@C

Anairlinemustchargean11percenttaxonthepriceofan

airlineticket.Theairlinewishestochargethewhole-dollar

amountof$^33.00fortheticket,includingthetax.What

price,tothenearest$0.01,shouldtheairlinesetforthe

ticketbeforethetaxisadded?

O$385.37

O$389.70

O$390.09

O$393.64

O$422.00

29

@c

Fromtheprobabilityhistogram,whatis

theprobabilitythatxiseither1or2?

O0.35

O0.45

O0.50

O0.70

30O0.75

@D

9

ThesequestionsrefertothefollowingTheaverage(arithmeticmean)quizscoreis

information.closesttowhichofthefollowing?

0

0

0

0

s0

c

9

P

m

s

oj

①-

q

E

n

N

31

@C

Fromthesetof6lettersA,B,C,D,E,andF,thereare

20different3Te甘ersubsetsthatcouldbeselected.

ColumnAColumnB

Thenumberof3-letter10

subsetsthatinclude

32theletterF

@C

ThesequestionsrefertothefollowingRATINGSFORSYMPTOMH

information.

Rating210-1-2

Numberof

Thirtyhospitalpatientswhohadbeen712rst

treatedforthesameillnessweregivenaPatients

newtreatmentinaresearchstudy.They

werethenaskedtoevaluatewhetherfiveIntheRatingsforSymptomHtableshown,

symptoms,H,L,P,T,andI/,weremadewhichofthefollowingcouldberts,and七,

betterorworsebythenewtreatmentrespectively?

comparedtotheoldtreatment.Foreach0

symptom,eachpatientusedoneoffive0

ratings：0

0

2：muchbetter0

1：somewhatbetter

0：neitherbetternorworse

-1：somewhatworse

-2：muchworse

Foreachsymptom,thesumandstandard

deviationoftheratingsarelistedbelow.

10

Foreachsymptom,thesumandstandard

deviationoftheratingsarelistedbelow,

SumofStandardDeviation

Symptom30Ratingsof30Ratings

H121.4。

L350.69

P-330.79

T-260.43

1/20.89

@E

If(7,3)isthecenterofthecircle,thentheradiusofthecircle

couldbeequaltowhichofthefollowing?

0

0

0

0

0

34

@C

Ifz+2y=2and(x+y)2=9,whichofthe

followingisapossiblevalueofy?

。-8

-35

-

02

3

-

2

0-。

05

35

@E

11

Thesequestionsrefertothefollowinggraph,whichisInwhatmonthwasgasuseinoneof

drawntoscale.theyearsnearlydoublethatforthe

samemonthintheotheryear?

AHOUSEHOLDSMONTHLYGASUSEFOR1987AND1988

OFebruary

OJuly

OAugust

OSeptember

e

qOOctober

n

Q

0

0

L

1

0

3

L

E

CUJ

G

S

n

s

e

CD

1

§-gAngCLOo8

@B

Thefigurerepresentsarectangularlevelplotof

land,subdividedintoidenticalrectangulargardens.

ColumnAColumnB

ThetotalnumberoffeetofThetotalnumberof

fencing,indicatedbythesolidfeetintheperimeter

lines,neededtoseparateeachoftheplot

ofthegardens

37

@B

Thecurvatureofacircleisdefinedtobethereciprocal

oftheradiusofthecircle.

ColumnAColumnB

ThecurvatureofaThecurvatureofa

circlewithcircumfer-circlewithcircumfer-

ence357rence36TT

38

@A

12

ThelengthofarectangularboxisAincheslongerthanthe

depth,andthewidthoftheboxis1inchlessthanthelength.

Thedepthoftheboxisbetween2inchesand4inches.

ColumnAColumnB

Thevolumeofthebox200

incubicinches

39

@D

Ifnisanintegerand99<z?2<200,thenncould

haveatmosthowmanyvalues?

0Two

0Fo

0sur

0Ei.x3nh

0Tleg

4@0

E

41

Ifonenumberischosenatrandomfromthefirst1,000

positiveintegers,whatistheprobabilitythatthenumber

chosenisamultipleofboth2and8?

01

一

251

0一8

1

-

02

9

0-

165

-

08

@B

2

I3

Thesequestionsrefertothefollowinggraphs.

AVERAGEVEHICLEOCCUPANCYRATEFORCOMMUTERSMEANSOFTRAVELFOR

TOCITYPANDITSSIXSUBURBANCOUNTIESCOMMUTERSTOCITYP

OfthecommuterstoCityP,|ofthosewhodrivealonearegoingtochangetheirmeans

oftravelwhiletherestofthecommuterstoCityPwillcontinuetousethesamemeans

oftravel.If|ofthosewhoaregoingtochangejoinacar/vanpool,whatwillthenbethe

percentofcommuterstoCityPwhotravelbycar/vanpool?

O49.5%O45.9%O35.2%O31.9%O28.3%

Commuters

Note:Drawntoscale.

@D

43

IfthetotalnumberofcommuterstoCounty14/istwicethenumbertoCountyZ,andifthe

averagenumberofvehiclesthattransportcommutersdailytoCountyWis30,000,whatis

theapproximateaveragenumberofvehiclesthattransportcommutersdailytoCountyZ?

0

012,000

015,000

018,000

027,000

36,000

@A

14

Thesequestionsrefertothefollowinggraph.Forwhichofthecountrieswasthedif-

ferencebetweenitssavingsrateand

NATIONALSAVINGSRATEANDitsrealGNPgrowthrateleast?

REALGROSSNATIONALPRODUCT(GNP)GROWTHRATE

FORSELECTEDCOUNTRIES

1971-1985OJapan

OCanada

OSwitzerland

OTheUn計(jì)edStates

OTheUnitedKingdom

SavingsRate

(totalsavingsasapercentoftotalpersonalincome)

44

@D

Whichofthefollowingstatementscan

beinferredfromthegraph?

I.Ontheaverage,peopleinthe

UnitedStatessavedaboutthe

sameamountofmoneyas

peopleint