MonroeTownshipSchoolDistrict
MonroeTownship,NewJersey
MiddleSchool6 Grade*PREPARATIONPACKET*
th
2018
***SOLVETHESEPROBLEMSWITHOUTACALCULATOR
ANDSHOWALLWORKINPENCIL***
You’llberesponsibleforhandinginthecompletedpacketwithallworkshown
ONTHEFIRSTDAYOFSCHOOL.Thepacketisarepresentationofthetypesof
itemsyou’llneedtohavemasteredBEFORE6thGradeMath,sowestrongly
encouragethatyouincludethispacketinyoursummerfestivities!Goodluckand
enjoy!J
NAME:____________________________________________________
OPERATIONSANDALGEBRAICTHINKING
1) Writeanumericalexpressionfortheproductofnineandseven.
2) Writethefirstfivetermsinthepattern,startingwiththenumberzero:
Therule:add17.
_________,__________,_________,_________,_________
3) Simplify28–24÷3+(17-9)
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4) Completethetable.Writearuleforcompletingthetable:
Input
3
5
8
Output
18
30
48
54
72
Rule:____________________
5) Thetablebelowshowsthenumberofgallonsofgasolineinthegastankeach
secondasitfills.Ifthepatterncontinues,howmuchgaswillbeinthetank
after6seconds?
SecondsPumpingGasoline
1
2
3
GallonsintheTank
0.15
0.30
0.45
6) Whichexpressionshowshowtosolve7×63withmentalmath.
4
0.60
A. 7×6 + (7×3)
B. 7×60 + (7×3)
C. 7×60 + (7×30)
D. 7×6 + (7×30)
NUMBERANDOPERATIONSINBASETEN
7) Writethenumber𝒆𝒊𝒈𝒉𝒕𝒂𝒏𝒅𝒕𝒘𝒆𝒏𝒕𝒚 − 𝒆𝒊𝒈𝒉𝒕𝒕𝒉𝒐𝒖𝒔𝒂𝒏𝒅𝒕𝒉𝒔instandard
form.
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8) Orderthefollowingfromgreatesttoleast:
𝟐𝟕. 𝟎𝟒𝟏,𝟐𝟕. 𝟎𝟏𝟒,𝟐𝟕. 𝟏𝟎𝟒,𝟐𝟕. 𝟒𝟏𝟎
______________,______________,______________,_______________
9) Writethefollowinginstandardform.
𝟑×𝟏𝟎𝟎 + 𝟕×𝟏𝟎 + 𝟐×𝟏 + 𝟓×
𝟏
𝟏
+ 𝟖×
𝟏𝟎
𝟏𝟎𝟎
10) Write𝟏𝟎𝟒 instandardform._________________________________________
11) Megan’scheckforlunchatLuigi’sPizzeriawas$13.87.Shepaidwitha$20
bill.Howmuchchangedidshereceive?
12) Describetheruleforthefollowingpatternandnamethenextthreeterms.
120,00012,0001,200120______________________________
Rule:________________________________________________
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13) Insert>, < 𝒐𝒓 =tomakethefollowingstatementtrue.𝟎. 𝟎𝟓𝟓_____𝟎. 𝟐𝟎
14) Write𝟑, 𝟒𝟎𝟗. 𝟕inexpandedform.
15) Whatistheplacevalueoftheunderlineddigitinthenumberbelow?
561.298_____________________
16) Round𝟐𝟕𝟑. 𝟒𝟓𝟐tothenearesttenth.________________________________
17) Whatisthevalueoftheunderlineddigitinthenumberbelow?
57,035.189
________________________________
18) Simplifytheexpression.𝟏𝟔 ÷ 𝟒 + (𝟐𝟎– 𝟏𝟎 + 𝟑)×𝟐
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Directions:Findthesum,difference,product,orquotient.Showallwork.
19) 3,684 ÷ 12 =
20) 5,906×87 =
21) 27 + 8.7 =
22) 6864 ÷ 2 =
23) 9172 − 316 =
24) 5000 − 987 =
25) 6 − 2.98 =
26) 596 + 1,238 + 26 + 5 =
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NUMBERANDOPERATIONS–FRACTIONS
Q
27) Katieworks2daysaweekafterschool.OnMondaysheworks2 hoursand
R
R
onWednesdaysheworks3 hours.Howmanymorehoursdoessheworkon
S
Wednesday?
S
Q
T
R
28) Ittakes cupoficecreamand cupmilktomakeamilkshake.Howmany
cupsisthataltogether?
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U
29) Jimmylives ofamilefromschool.BillylivestwiceasfarasJimmy.Howfar
V
doesBillylivefromschool?
Q
Q
W
T
30) Threestudentssharedapizza.Onestudentate ofthepizza,anotherate of
thepizzaandthethirdstudentatetherest.Whatfractionofthepizzawasthe
thirdstudent’sportion?
Q
Q
V
W
31) oftheseatsintheauditoriumwerereservedforparentsand oftheseats
werereservedfortheteachers.Whatfractionoftheseatswereleftfor
generaladmission?
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Directions:Findthesumordifference.Showallwork.
32) 3 − 1
R
W
S
Q
R
V
S
36) 3 −
S
X
34) 1 −
R
==
Q
S
U
T
33) +
=
U
=
35) 8 − 3
=
37) 3 + 1
Y
=
S
R
T
S
=
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MEASUREMENTANDDATA
38) Leahis52𝑖𝑛𝑐ℎ𝑒𝑠tallandCarolis4𝑓𝑒𝑒𝑡7𝑖𝑛𝑐ℎ𝑒𝑠tall.
Whichgirlistaller?
Howmuchtallerisshe?
39) Findtheareaoftherectangle.
Showyourworkhere.
40) Whatisthevolumeofthefigureshown?Allunitsaremeasuredinfeet.Labelyouranswer.
Showallworkhere.
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41) Louis’ssandboxis7𝑓𝑒𝑒𝑡𝑤𝑖𝑑𝑒, 5𝑓𝑒𝑒𝑡𝑙𝑜𝑛𝑔, 𝑎𝑛𝑑2𝑓𝑒𝑒𝑡𝑑𝑒𝑒𝑝.What’sthevolumeofthe
sandbox? 42) Classifyeachtrianglebelowbyitssidesandangles:
Side:
Angle:
Side:
Angle:
Side:
Angle:
43) Aclasswaspickingstrawsfromabigpileandthenusingarulertomeasurethelengthof
eachstraw.Theyrecordedthelengthsofthestrawspickedinthelineplotbelow.Usethe
lineplottoanswerthequestionsthatfollow.
x
LengthsofStraws
x
x
x
Q
W
x
x
x
Q
Length(inches)
T
a) Whichstrawlengthwasthemostfrequent?
Q
R
x
S
T
b) Howmanystudentsareintheclass?
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GEOMETRY
44) Whichquadrilateralhastwoacuteangles,twoobtuseangles,andtwopairsofopposite
parallelsides?
A
B
C
D
E
45) Plotthefollowingpointsonthecoordinateplane:𝑨(1,2)𝑩(1, 5)𝑪(5, 5)𝑫(5, 2)
•
•
•
Connectthepoints
Namethefigure__________________________
Findtheareaofthefigure _______________________
46) Usethecluesbelowtoidentifythefigure:
• Myfigurehasfoursides.
• Myfigurehasoppositesidesthatareparallel.
• Allofmyfigure’ssidesarecongruent.
• Myfigurehastwoobtuseanglesandtwoacuteangles.
Nameofthefigure:_______________________________________
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Directions:Writetheletterofalltheshapesabovethatfitintoeachofthecategoriesbelow.
(Youmayuseashapemorethanonce.)
47) D
A
E
B
F
H
C
I
G
Containatleast1rightangle____________________________________________
Parallelogram_________________________________________________________
Quadrilateral____________________________________________________________
Rectangle_________________________________________________________________
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48) ThetemperatureinMichelle’shousefrom9:00a.m.to7:00p.m.isrecordedinthetable
below.Makealinegraphtodisplaytheinformation.Remembertolabelthegraphand
giveitatitle.
Time
9am
11am
1pm
3pm
Temperature
65˚
60˚
63˚
68˚
5pm
7pm
65˚
60˚
WhatwastheapproximatetemperatureinMichelle’shouseat2:00pm?_______________
Whatwasthedifferenceintemperaturefrom1:00p.m.to3:00pm?_____________________
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