Onamap,a12-centimeterlengthrepresents72kilome-
ters.Howmanykilometersdoesa17-centimeterlength
represent?
(A) 6 (B) 102 (C) 204 (D) 864 (E) 1224
- Howmanydi?erentfour-digitnumberscanbeformed
byrearrangingthefourdigitsin2004?
(A) 4 (B) 6 (C) 16 (D) 24 (E) 81
- TwelvefriendsmetfordinneratOscarfisOverstu?e
OysterHouse,andeachorderedonemeal.Theportions
weresolarge,therewasenoughfoodfor18people.If
theyshare,howmanymealsshouldtheyhaveordered
tohavejustenoughfoodforthe12ofthem?
(A) 8 (B) 9 (C) 10 (D) 15 (E) 18
- Ms.Hamiltonfiseighth-gradeclasswantstoparticipat
intheannualthree-person-teambasketballtournament.
Lance,Sally,JoyandFredarechosenfortheteam.In
howmanywayscanthethreestartersbechosen?
(A) 2 (B) 4 (C) 6 (D) 8 (E) 10
- Ms.Hamiltonfiseighth-gradeclasswantstoparticipat
intheannualthree-person-teambasketballtournament.
Thelosingteamofeachgameiseliminatedfromthe
tournament.Ifsixteenteamscompete,howmanygames
willbeplayedtodeterminethewinner?
(A) 4 (B) 7 (C) 8 (D) 15 (E) 16
- Ms.Hamiltonfiseighth-gradeclasswantstoparticipat
intheannualthree-person-teambasketballtournament.
AfterSallytakes20shots,shehasmade 55% ofher
shots.Aftershetakes5moreshots,sheraisesher
percentageto 56%.Howmanyofthelast5shotsdid
shemake?
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
- Anathletefistargetheartrate,inbeatsperminute,i
80% ofthetheoreticalmaximumheartrate.Themax-
imumheartrateisfoundbysubtractingtheathletefi
age,inyears,from220.Tothenearestwholenumber,
whatisthetargetheartrateofanathletewhois26
yearsold?
(A) 134 (B) 155 (C) 176 (D) 194 (E) 243
- Findthenumberoftwo-digitpositiveintegerswhose
digitstotal7.
(A) 6 (B) 7 (C) 8 (D) 9 (E) 10
- Theaverageofthe?venumbersinalistis54.The
averageofthe?rsttwonumbersis48.Whatisthe
averageofthelastthreenumbers?
(A) 55 (B) 56 (C) 57 (D) 58 (E) 59
- HandyAaronhelpedaneighbor 5/4 hoursonMonday,50
minutesonTuesday,from8:20to10:45onWednesday
morning,andahalf-houronFriday.Heispaid$3per
hour.Howmuchdidheearnfortheweek?
(A) $8 (B) $9 (C) $10 (D) $12 (E) $15
- Thenumbers-2,4,6,9and12arerearrangedaccording
totheserules:
1. Thelargestisnfit?rst,butitisinoneofthe?rs
threeplaces.
2. Thesmallestisnfitlast,butitisinoneofthelas
threeplaces.
3. Themedianisnfit?rstorlast
Whatistheaverageofthe?rstandlastnumbers?
(A) 35 (B) 5 (C) 65 (D) 75 (E) 8
- Nikiusuallyleaveshercellphoneon.Ifhercellphoneis
onbutsheisnotactuallyusingit,thebatterywilllast
for24hours.Ifsheisusingitconstantly,thebattery
willlastforonly3hours.Sincethelastrecharge,her
phonehasbeenon9hours,andduringthattimeshe
hasuseditfor60minutes.Ifshedoesnfittalkanymor
butleavesthephoneon,howmanymorehourswillthe
batterylast?
(A) 7 (B) 8 (C) 11 (D) 14 (E) 15
- Amy,BillandCelinearefriendswithdi?erentages.
Exactlyoneofthefollowingstatementsistrue.
I. Billistheoldest.
II.Amyisnottheoldest.
III. Celineisnottheyoungest.
Rankthefriendsfromtheoldesttotheyoungest.
(A) Bill,Amy,Celine (B) Amy,Bill,Celine (C) Celine,Amy,Bill
(D) Celine,Bill,Amy (E) Amy,Celine,Bill
- Whatistheareaenclosedbythegeoboardquadrilateral
below?
(A) 15 (B) 18 1/2 (C) 22 1/2 (D) 27 (E) 41
- Thirteenblackandsixwhitehexagonaltileswereused
tocreatethe?gurebelow.Ifanew?gureiscreated
byattachingaborderofwhitetileswiththesamesize
andshapeastheothers,whatwillbethedi?erence
betweenthetotalnumberofwhitetilesandthetotal
numberofblacktilesinthenew?gure?
(A) 5 (B) 7 (C) 11 (D) 12 (E) 18
- Two600mlpitcherscontainorangejuice.Onepitcher
1 2
is fullandtheotherpitcheris full.Waterisadded
3 5
to?lleachpitchercompletely,thenbothpitchersare
pouredintoonelargecontainer.Whatfractionofthe
mixtureinthelargecontainerisorangejuice?
1 3 11 11 11
(A) 1/8(B)3/16 (C)11/30 (D)11/19 (E)11/15
Threefriendshaveatotalof6identicalpencils,and
eachonehasatleastonepencil.Inhowmanyways
canthishappen?
(A) 1 (B) 3 (C) 6 (D) 10 (E) 12
- Fivefriendscompeteinadart-throwingcontest.Each
onehastwodartstothrowatthesamecirculartarget,
andeachindividualfisscoreisthesumofthescore
inthetargetregionsthatarehit.Thescoresforthe
targetregionsarethewholenumbers1through10.
Eachthrowhitsthetargetinaregionwithadi?erent
value.Thescoresare:Alice16points,Ben4points,
Cindy7points,Dave11points,andEllen17points.
Whohitstheregionworth6points?
(A) Alice (B) Ben (C) Cindy (D) Dave (E) Ellen
- Awholenumberlargerthan2leavesaremainderof
2whendividedbyeachofthenumbers3,4,5and
6.Thesmallestsuchnumberliesbetweenwhichtwo
numbers?
(A) 40and49 (B) 60and79 (C) 100and129 (D) 210and249
(E) 320and369
- Two-thirdsofthepeopleinaroomareseatedinthree-
fourthsofthechairs.Therestofthepeoplearestand-
ing.Ifthereare6emptychairs,howmanypeopleare
intheroom?
(A) 12 (B) 18 (C) 24 (D) 27 (E) 36
- Spinners A and B arespun.Oneachspinner,thear-
rowisequallylikelytolandoneachnumber.Whatis
theprobabilitythattheproductofthetwospinners
numbersiseven?- Atapartythereareonlysinglewomenandmarried
menwiththeirwives.Theprobabilitythatarandomly
2
selectedwomanissingleis .Whatfractionofthe
5
peopleintheroomaremarriedmen?
1 3 2 5 3
(A) (B) (C) (D) (E)
3 8 5 12 5
- Atapartythereareonlysinglewomenandmarried
menwiththeirwives.Theprobabilitythatarandomly
2
selectedwomanissingleis .Whatfractionofthe
5
peopleintheroomaremarriedmen?
(A) 1/3(B)3/8 (C)2/5 (D)5/12 (E)3/5
- Tessrunscounterclockwisearoundrectangularblock
JKLM.Shelivesatcorner J.Whichgraphcould
representherstraight-linedistancefromhome?
- Inthe?gure, ABCD isarectangleand EFGH isa
parallelogram.Usingthemeasurementsgiveninthe
?gure,whatisthelength d ofthesegmentthatisper-
pendicularto HE and FG?
(A) 68 (B) 71 (C) 76 (D) 78 (E) 81
- Two 4 - 4 squaresintersectatrightangles,bisecting
theirintersectingsides,asshown.Thecirclefisdiamete
isthesegmentbetweenthetwopointsofintersection.
Whatistheareaoftheshadedregioncreatedbyre-
movingthecirclefromthesquares?
(A) 164 (B) 162 (C) 284 (D) 282 (E) 322