MonroeTownshipSchoolDistrict
MonroeTownship,NewJersey
MiddleSchool6th Grade*PREPARATIONPACKET*
**ThispacketisMODIFIEDforstudentsintheResource
Centeronly**
2018
***SOLVETHESEPROBLEMSANDSHOWALLWORK***
Youwillberesponsibleforhandinginthecompletedpacketwithallwork
shownONTHEFIRSTDAYOFSCHOOL.Theproblemsherearevery
representativeofthetypesofitemsyouwillneedtohavemasteredBEFORE6th
GradeMath…sowestronglyencouragethatyouincludethispacketinyour
summerfestivities!Goodluckandenjoy!J
Name:_________________________________
OperationsandAlgebraicThinking
1.
2.
3.
Writeanumericalexpressionfortheproductofnineandseven.
Writethefirstfivetermsinthepattern:
Startwithzero.Theruleisadd17.
0,______,_______,_______,_______
Simplify.(RememberPEMDAS).
(12–4)+2x3
Page1
4.
5.
6.
Completethetable.Writearuleforcompletingthetable:
Input
Output
3
18
5
30
8
48
54
72
Rule:____________________
Thetablebelowshowsthenumberofgallonsofgasolineinthegastank
eachsecondasitfills.Ifthepatterncontinues,howmuchgaswillbeinthe
tankafter6seconds?
Seconds
1
2
3
4
5
6
Pumping
Gasoline
Gallonsinthe 0.15
0.30
0.45
0.60
Tank
Whichexpressionshowshowtosolve7x63withmentalmath.(Checkby
findingtheproduct).
A. (7x6)+(7x3)
B. (7x60)+(7x3)
C.(7x60)+(7x30)
D.(7x6)+(7x30)
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NumberandOperationsinBaseTen
7.Writethenumbereightandtwenty-eightthousandthsinstandardform.
8.Orderthefollowingfromgreatesttoleast.Use>.
27.04127.01427.10427.410
9.Writethefollowinginstandardform.
(3x100)+(7x10)+(2x1)+(.5)+(.08)
10.Write𝟏𝟎𝟒 instandardform.
11.Megan’scheckforlunchattheLuigi’swas$13.87.Shepaidwitha20dollar
bill.Howmuchchangedidshereceive?
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12.Describetheruleforthefollowingpatternandnamethenextthreeterms.
120,00012,0001,200120_______________________
Rule:___________________________________
13.Insert>,<or=tomakethefollowingstatementtrue.
0.055_________0.20
14.Write3,409.7inexpandedform.(Example:500+20+6=526)
15.Writethefollowingwordsasadecimal:
onehundredfiveandtwenty-ninethousandths
16.Round273.452tothenearesttenth.
17.Whatisthevalueoftheunderlineddigitinthenumberbelow?(Remember
thatvaluedoesnotmeanplace).
57,035.189
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Findthesum,difference,productorquotient.Showallwork.
18.3,684÷12=
20.27+8.7=
22.9172–316=
19.5,906x87=
21.6864÷2=
23.5000–987=
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NumberandOperations–Fractions
$
%
%
&
24.OnMondayKatieworks2 hoursandonWednesdaysheworks3 hours.
HowmanymorehoursdoessheworkonWednesday?
&
$
'
%
25.Ittakes cupoficecreamand cupmilktomakeamilkshake.Howmany
cupsisthataltogether?
(
26.Jimmylives ofamilefromschool.BillylivestwiceasfarasJimmy.Howfar
)
doesBillylivefromschool?
$
$
*
'
27.Threestudentssharedapizza.Onestudentate ofthepizza,anotherate ofthepizzaandthethirdstudentatetherest.Whatfractionofthepizzawasthe
thirdstudent’sportion?
Page6
$
$
)
*
28. oftheseatsintheauditoriumwerereservedforparentsand oftheseats
wasreservedfortheteachers.Whatfractionoftheseatswasreserved
altogether?
Findthesumordifference.Showallwork.Simplifyifnecessary.
𝟐
𝟏
𝟑
29.3–1 =
𝟑
30. + =
𝟓 𝟒
31.1 - =
𝟖 𝟑
32.8-3 =
𝟗
𝟕
𝟐
𝟓
Page7
𝟒
𝟏
33.2 –1 𝟓
𝟒
𝟑
𝟐
34.3 +1 =
𝟒
𝟑
Measurement and Data
35. Leah is 52 inches tall and Carol is 4 feet 7inches tall. Which girl is taller?
How much taller is she? (Remember 12 inches = 1 foot)
36.
Find the area of the rectangle below. (Area of a rectangle = L x W)
Page8
37.
What is the volume of the figure shown below? (Volume = L x W x H)
Geometry
38.
A
Which quadrilateral has two acute angles, two obtuse angles, and two pairs of
opposite parallel sides?
B
C
D
E
Page9
39.
Plot the following points on the coordinate plane:
40.
•
A (1 ,2)
•
Connect the points and name the figure__________________________
B (1, 5)
C (5, 2)
D (5, 5)
Use the clues below to identify the figure:
•
•
•
•
My figure has four sides.
My figure has opposite sides that are parallel.
All of my figure’s sides are congruent.
My figure has two obtuse angles and two acute angles.
Name of the figure: _______________________________________
Page10
41.
D
A
E
B
F
H
C
I
G
Write the letter of all the shapes above that fit into each of the categories below. (You
may use a shape more than once.)
Contain at least 1 right angle____________________________________________
Parallelogram _________________________________________________________
Quadrilateral____________________________________________________________
Rectangle_________________________________________________________________
42.
The temperature in Michelle’s house from 9:00 a.m. to 7:00 p.m. is recorded in
the table below. Make a line graph to display the information. Remember to
label the graph and give it a title.
Page11
TimeTemperature
9am
11am
1pm
3pm
5pm
65˚
60˚
63˚
68˚
65˚
60˚
7pm
TEMPERATURE
TIME
WhatwastheapproximatetemperatureinMichelle’shouseat2:00p.m.?_______________
Whatwasthedifferenceintemperaturefrom1:00p.m.to3:00p.m.?_____________________
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