Name:
St.BrigidCatholicAcademy Date:
#:___
6th Grade Winter Break Packet: Due January 5, 2016
Someoftheseproblemsaretakenfrompaststatemathexams,whileothersarejustreviewquestions.
Someoftheproblemsarefromfifthgrade,sotryyourbesttoanswerallthequestions.DONOTPANIC
ifyouhavetrouble!Thispacketwillbecountedasaprojectgrade.Makesureyoushowallofyour
work.
1.Arnold’sentireworkoutconsistedof10minutesofwarm-upexercises,25minutesofliftingweights,
and15minutesofthetreadmill.Whatwastheratioofthenumberofminutesheliftedweightstothe
totalnumberofminutesofhisentireworkout?
(A)
1: 1 (B)
1: 2 (C)
3: 10 (D)
5: 8
2.Wyatthiked6milesin2hours.Atthissamerate,whatisthetotalnumberofmilesWyattcouldhike
in9hours?
(A)
3
(B)
7
(C)
21
(D)
27
3.Apunchreciperequires2cupsofcranberryjuicetomake3gallonsofpunch.Usingthesamerecipe,
whatistheamountofcranberryjuiceneededfor1gallonofpunch?
A
3 cups
(B)
!
1 ! cups
(C)
1 cup (D)
!
!
cup
4.Ahigh-speedelevatorcanrise480feetin30seconds.Whichexpressionrepresentstherate,infeet
perminute,oftheelevator?
(A)
480 × 30
(B)
480 ÷ 30
(C)
480 × 2
(D)
480 ÷ 2
5.Agroupofstudentsorganizedacarwashtoraisemoneyforalocalcharity.Thestudentscharged
$5.00foreachcartheywashed.In3hours,theywashed12cars.Atthatrate,howmuchmoneycould
theyearnfromwashingcarsforeighthours?
(A)
$40.00
(B)
$60.00
(C)
$85.00
(D)
$160.00
6.Whatisthegreatestcommonfactorof56and92?
(A)
2
(B)
4
(C)
7
(D)
8
7.Thewaterlevelinanoceanbaychangesatanaveragerateof3metersperhour.Atthisrate,how
manyhourswouldittakeforthewaterleveltochange12meters?
!
(A)
!
(B)
!
!
(C)
4
(D)
36
8.Acompanypaid$48for2casesofprinterpaper.Eachcasecontained12packagesofpaper.Next
month,thecompany’sofficemanagerneedstoorder180packagesofthesamepaper.Ifthepriceper
packagedoesnotchange,whatwouldbethetotalcostofnextmonth’sorder?
(A)
$90 (B)
$360 (C)
$720 (D)
$1,140
9.ThepicturebelowshowsthefivehoursonMapleStreetandthefivehousesonOakStreet:
•
•
EachhousenumberonMapleStreetissixmorethanthehousenumbertoitsleft.
EachhousenumberonOakStreetiseightmorethanthehousenumbertoitsleft.
HowmuchgreateristhehousenumberonthelasthouseonOakStreetthanthehousenumberofthe
lasthouseonMapleStreet?
(A)
2
(B)
6
(C)
8
(D)
10
10.Aleakyfaucetislosingwaterandisfillinga5-gallonbucketevery20hours.Atthatrate,howmany
gallonsofwaterwillthefaucetleakin48hours?Showyourworkonaseparatepieceofpaper.
11.Jasonhasacouponfor$2.50offanyelectronicbookfromanonlinebookstore.Iftheoriginalprice,
indollars,ofanelectronicbookispandthediscountedprice,indollars,isd,whichtableshowsthe
relationshipbetweenpandd?
12.Lastyear,Chesamade32one-cupservingsofsoupforaschoolparty.Thisyear,shewillmaketwo
timestheamountofsoupthatshemadelastyear.HowmanygallonsofsoupwillChesamakethisyear?
(A)
64
(B)
16
(C)
4
(D)
2
13.Thetablebelowshowsdifferentpossibilitiesforthenumberofgamesateamwouldneedtowinto
maintainacertainpercentageofwins.
Whichratioofthenumberofgameswontothenumberofgamesplayedcouldalsobeincludedinthis
table?
(A)18: 20
(B)30: 20
(C)18: 30
(D)50: 30
14.Arecipeforlemonadecallsfor1cupofsugarand5cupsofwater.Howmuchsugarisusedpercup
ofwater?
!
(A)! cup
!
(B)! cup
!
(C)! cup
!
(D)! cup
15.Sampaid$8.28for18stamps.Atthisrate,howmuchwoulditcostSamtobuy12stamps?
(A)$2.19
(B)$2.28
(C) $3.72
(D)$5.52
16.Theareaofanairplane’swingsisrelatedtotheairplane’sliftingforce,whichholdstheairplanein
theair.Thetablebelowlistsseveralwingareasandthecorrespondingliftingforces.
Theratioofliftingforcetoareaisequivalentforallpairsinthetable.Whatarethevaluesofxandy?
(A)𝑥 = 375 square feet and 𝑦 = 7,500 pounds (B)𝑥 = 335 square feet and 𝑦 = 7,500 pounds
(C)𝑥 = 375 square feet and 𝑦 = 6,300 pounds
(D)𝑥 = 335 square feet and 𝑦 = 6,300 pounds
17.Simonused3pearsand9applestomakeafruitsalad.Whatwastheratioofthenumberofpears
tothenumberofapplesinthefruitsalad?
(A)1: 3
(B)1: 4
(C) 1: 6
(D)1: 9
18.Bryan’sdogeats8ouncesofdogfoodeachday.Bryanboughta28-poundbagofdogfood.How
many8-ounceservingsareina28-poundbagofdogfood?
(A)14 (B)56 (C) 224
(D)448
19.Residentsofasmallcityvotedonwhethertoallowaconstructioncompanytobuildanewbodega.
Thenumberofvotesinfavorofthebodegacenterwas4,400.Thenumberofvotesagainstthebodega
was3,600.Whatpercentofthevoterswereinfavorofbuildingthebodega?
(A)25%
(B)55%
(C) 39%
(D)60%
20.ThetablebelowlistsfourmassesandtheircorrespondingapproximateweightsonEarth.
Theratioofweighttomassisconstant.Whichstatementdescribestheratioofweighttomassandthe
valueofxinthetable?
(A)The ratio is
(B)The ratio is
(C)The ratio is
!"
!"
!"
!"
!"
!"
(D)The ratio is
, and 𝑥 = 90
, and 𝑥 = 110
, and 𝑥 = 90
!"
!"
, and 𝑥 = 110
21.Ascientiststudiedthemigrationpatternsoftwotypesofwhales.
•
Thehumpbackwhalestraveled2,240milesin28days.
•
Thegraywhalestraveled2,368milesin32days.
Ifthehumpbackwhaleshadtraveledatthesameratefor32days,howmanymoremileswouldthey
havetraveledthanthegraywhales?
(A)128
(B)192
(C) 280
(D)408
22.Darnell’scarused8gallonsofgasolinetotravel340miles.Afteramechanicworkedonthecar,it
used7gallonsofgasolinetotravel350miles.Ifthepriceofgasolinewasapproximately$4.00per
gallon,howmuchless,tothenearestcentpermile,diditcosttorunthecarafterthemechanicworked
onit?Showyourworkonaseparatepieceofpaper.
Answer_______________________cent(s)permile
23.AtlanticAuditoriumhas850seats.Ticketsweresoldfor816oftheseats.Forwhatpercentofthe
seatwereticketssold?Showyourworkonaseparatepieceofpaper.
Answer________________________%
24.Melaniebabysat2hourseachnightfor10nights.Sheearnedatotalof$180babysitting.Melanie
wantstocalculateherhourlyrate.HowmuchdidMelanieearnperhourbabysitting?
(A)$9 (B)$15
(C)$18
(D)$20
25.Hunterswamlapseverydayinthecommunityswimmingpool.Heswam45minuteseachday,5
dayseachweek,for12weeks.Inthattime,heswam1,800laps.Whatwashisaveragerateinlapsper
hour?Showyourworkonaseparatepieceofpaper.
26.Thetablebelowshowshowmuchmoneyagrocerystorereceivesforsellingdifferentamountsof
asparagus.
Iftheunitrateisconstant,whatarethetotalsalesfor12poundsofasparagrus?
(A)$22.50 (B)$25.00 (C)$30.00
(D)$32.50
27.Lastyear,thegirls’basketballteamhad8fifth-gradestudentsand7sixth-gradestudents.Whatwas
theratioofsixth-gradestudentstofifth-gradestudentsontheteam?
(A)8: 15
(B)8: 7
(C)7:8 (D)15: 8
28.Whatisonetopicinmaththatyoufeelyouhavemasteredthisyearsofar?
29.Whatisonetopicthatyouarestillstrugglingwiththisyear?
30.WhatsuggestionsdoyouhaveforMs.Fongregardingherlessons,teachingstyle,amountof
homework,tests,etc.?