Thirty-Fifth Annual Sixth Grade Math Blaststanmathcouncil.org/documents/2017/17_First_Stage.pdf ·...

Thirty-FifthAnnualSixthGradeMathBlast

StageOne

Directions:1. Usea#2pencil.2. Scratchpapermaybeused.Youmaywriteonthistest.3. PutyourNAMEandSCHOOLontheScantronanswersheet4. TransferanswerstoScantroncarefully;besuretomakeyourmarksdarkanderasuresclean.5. Thereisnopenaltyforguessing.6. Allfractionsaretobesimplified.7. Use3.14forπ.8. Allmoneyshouldberoundedtothenearestpenny.

1. Whichofthefollowingnumbersisthelargest?

a. −4 !!

b. −5.46

c. −5 !!"

d. −5.4

e. NoneofThese

2. Theicecreamstoreaverages$2.70foreachicecreamconesold.IcecreamconesalesforthemonthofMaytotaled$30,126.60.HowmanyicecreamconesweresoldinMay?

a. 111.58

b. 1115.88

c. 11158

d. 111580

e. None of These

3. Therewere1and¾pizzasleftoveraftertheparty.SamandDonate½oftheleftoverpizzas.Howmuchisleftnow?

a. !!

b. !!

c. !!

d. !!

e. None of These

4. Whichfractionisundefined?

a. !"#!

b. !!"!"

c. !"!

d. 23 !!

e. None of These

5. Evaluate:4 + 4 ÷ 2 + 6 ∙ 4!

a. 160

b. 102

c. 582

d. 54

e. None of These

6. Writethefollowingratioasaunit-lessfractioninlowestterms: 3feetto60inches

a. !!"

b. !!"

c. !!

d. !!"#

e. NoneofThese

7. Ifyouspend5.5hoursaweekstudyingforEnglishand4hoursstudyingformathwhatistheratiooftimespentstudyinginmathtostudyingforEnglish.

a. 8: 11

b. 11: 8

c. 55: 2

d. 2:55

e. NoneofThese

8. Findtheareaofthefigurebelow.

a. 160 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠

b. 180 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠

c. 200 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠

d. 53 𝑠𝑞𝑢𝑎𝑟𝑒 𝑢𝑛𝑖𝑡𝑠

e. NoneofThese

9. Findtheleastcommonmultiple(LCM)of24,36,and54.

a. 6

b. 12

c. 360

d. 720

e. NoneofThese

10. Simplify.0.8 ÷ !!∙ !!

a. !!

b. !!"

c. 7.2

d. 2.4

e. NoneofThese

11. HowmanyminutesareinthemonthofMarch?

a. 744

b. 43,200

c. 44,640

d. 46,500

e. NoneofThese

12. Writethephrase,“sixlessthanthequotientofanumber,n,andfour,”asamathematicalexpression.

a. 6 − !!

b. !!− 6

c. 6 − !!

d. !!− 6

e. NoneofThese

13. Determinethelengthofthesideofasquarewiththegivenareaof1.44squarefeet.

a. 0.36 𝑓𝑒𝑒𝑡

b. 1.2 𝑓𝑒𝑒𝑡

c. 0.72 𝑓𝑒𝑒𝑡

d. 2.0736 𝑓𝑒𝑒𝑡

e. NoneofThese

14. Whatisthemedianofthefollowingsetofdata?{53.9,67.1,40.2,67.1,48}

a. 40.2

b. 48

c. 53.9

d. 67.1

e. NoneofThese

15. Findthevalueoftheexpression:6 ÷ 2 + 4 − 2 !

a. 7

b. 3

c. 1

d. 25

e. NoneofThese

16. !!ofMary’sseashellcollectionis1,240

seashells.Howmanyseashellsdoesshehave?

a. 155seashells

b. 310seashells

c. 992seashells

d. 1984seashells

e. NoneofThese

17. Awire16cmlongiscutintotwopieces.Thelongpieceis4cmlongerthantheshorterpiece.Findthelengthoftheshorterpieceofwire.

a. 6cm

b. 8cm

c. 10cm

d. 12cm

e. NoneofThese

18. Adiverstartsoutat273feetbelowthesurface.Shethenswimsupward154feet.Whatisthediver’scurrentlocation?

a. 119 𝑓𝑒𝑒𝑡

b. 427 𝑓𝑒𝑒𝑡

c. −119 𝑓𝑒𝑒𝑡

d. −427 𝑓𝑒𝑒𝑡

e. NoneofThese

19. Simplify:!!+ !

!∙ !!

a. !!"

b. !"!"

c. !"#!"#

d. !"!"#

e. NoneofThese

20. Considerarectanglewithawidthof10ftandalengthof24ft.Whatistheratiooflengthtowidth?

a. 12: 5

b. 5:12

c. 1: 2

d. 2:3

e. NoneofThese

21. Whatistheleastcommonmultipleof36and45?

a. 360

b. 180

c. 1,620

d. 92

e. NoneofThese

22. Howmanyoddnumbersaretherebetween20and88?

a. 33

b. 44

c. 35

d. 34

e. NoneofThese

23. Calculatethemeanofthedatabelow.20,23,25,28,30

a. 23.5

b. 23.2

c. 25

d. 116

e. NoneofThese

24. Whatistheareaoftheshapebelow?

a. 253ft2

b. 352ft2

c. 512ft2

d. 108ft2

e. NoneofThese

25. Thismorningthetemperaturewas5°belowzero.Bynoon,thetemperaturerose20°Fahrenheit(F)andthendropped8°Fbyevening.Whatwastheeveningtemperature?

a. 17°belowzero

b. 15°belowzero

c. 12°belowzero

d. 7°belowzero

e. NoneofThese

26. Ittakesamachine16minutestofill200bottlesofsoda.Atthisrate,howmanyminuteswillittakethemachinetofill500bottlesofsoda?

a. 30

b. 40

c. 32

d. 25

e. NoneofThese

27. Davidsoldmugsatacraftsshow.Onthefirstday,hesold8mugsbutlost$5.40oneachmug.Onthesecondday,heraisedhispriceandsold10mugswithaprofitof$4.20oneachmug.Whatwashistotalprofitorloss?

a. $85.20

b. $43.20

c. $1.00

d. -$1.20

e. NoneofThese

28. Compute:3.364 + 2.79 + 1.005 + 4.8 +4.05 + 0.001?

a. 5.062

b. 14

c. 15.910

d. 14.910

e. NoneofThese

29. Arectangularroomis17!!feetwideand8feet

long.Findtheperimeteroftheroom.

a. 51.50ft.

b. 142ft.

c. 71

d. 32

e. NoneofThese

30. Evaluate 2[7 + 2 3 ∙ 5 − 10 ]

a. 34

b. 43

c. 90

d. 54

e. NoneofThese

31. Thespeedofsoundisapproximately768milesperhour.Whenanobjecttravelsfasterthanthespeedofsound,itcreatesasonicboom.

Writeaninequalitythatistrueonlyforspeeds(s)atwhichamovingobjectcreatesasonicboom.

a. S < 768

b. S> 768

c. S≤768

d. S≥ 768

e. NoneofThese

32. (!!+ !

!) ÷ !

!"=

a. !!!

b. !!!

c. !!!"#

d. !!!"

e. NoneofThese

33. Evaluate5c+cdwhenc=!!d=15

a. 5

b. 4

c. 1

d. 6

e. NoneofThese

34. Whatisthevolumeoftheboxbelow?

a. 13.125 𝑐𝑢. 𝑓𝑡

b. 8.448cu.ft.

c. 7.5 𝑐𝑢. 𝑓𝑡.

d. 131.25 𝑐𝑢. 𝑓𝑡.

e. NoneofThese

35. Youmeasureasuitcasetobe20incheswide,2feetlongand5inchesdeep.Whatisthevolumeofthesuitcase?

a. 2,000in3

b. 200in3

c. 2,000in

d. 200in

e. NoneofThese

36. Usingthenetfindthesurfaceareaoftheshapebelow.

a. 53𝑐𝑚!

b. 556 𝑐𝑚!

c. 655 𝑐𝑚!

d. 160𝑐𝑚!

e. NoneofThese

37. Orderthefollowingvaluesfromleasttogreatest.

-7, 4.5 ,3, −2

a. 4.5 3 −2 -7

b. -7, 3 , 4.5 , −2

c. -7 −2 3 4.5

d. -7 , 4.5 , 3 , −2

e. NoneofThese

38. Convert26%toafractioninsimplestform.

a. !"!""

b. !"!"

c. !"!""

d. !"!"

e. NoneofThese

39. TodayisSaturday.Whatdayoftheweekis200daysfromtoday?

a. Wednesday

b. Saturday

c. Tuesday

d. Thursday

e. NoneofThese

40. Afarmerhas150rabbits.Thereare4timesasmanyfemalerabbitsasmalerabbits.Howmanymaleandfemalerabbitsarethere?

a. 30male,120female

b. 120male,30female

c. 73male,77female

d. 77male,73female

e. NoneofThese

41. Camrynpracticesthetrumpetevery11thdayandthefluteevery3rdday.Camrynpracticedboththetrumpetandtheflutetoday.HowmanydaysuntilCamrynpracticesthetrumpetandfluteagainonthesameday?

a. 32

b. 33

c. 66

d. 99

e. NoneofThese

42. Simplifytheexpression3(6 ∙ 5 − 9) + 4(9 ∙ 7 − 25)

a. 152

b. 105

c. 214

d. 326

e. NoneofThese

43. Kateis3yearsolderthanJohnand5yearsyoungerthanCarrie.IfJohnis12yearsold,howoldisCarrie?

a. 7

b. 15

c. 10

d. 20

e. NoneofThese

44. ARentalcarcompanycharges$30plus40centspereachmiledriven.Whatisthetotalcostofdriving325miles?

a. $13,030

b. $160

c. $16.00

d. $166.00

e. NoneofThese

45. Given:Aseasonskipasscosts$395.Asingledayticketcosts$40.

Find:Howmuchmoneyissavedbuyingaseasonskipasscomparedto38singledaytickets?

a. $14,205

b. $1,125

c. $1,275

d. $1,251

e. NoneofThese

46. Thelengthofarectangleistwiceitswidth.TheRectanglehasaperimeterof48cm.Whatisitsarea?

a. 64cm2

b. 24cm2

c. 36cm2

d. 128cm2

e. NoneofThese

47. 0.081=

a. . 0081%

b. . 81%

c. 81%

d. .081%

e. NoneofThese

48. If192fifthgradersand136sixthgradersenteredadrawing,findtheprobabilityofasixthgraderwinningthedrawing.

a. !"!"

b. !"!".

c. !"!"

d. !!

e. NoneofThese

49. Ifacolorprinterisonsalefor35%off.Howmuchwillyousaveonaprinterthatoriginallycost$440?

a. $257

b. $15,400

c. $286

d. $154

e. NoneofThese

50. Theratiooftwonumbersis7:4.Theproductofthesenumbersis448.Whatisthesmallerofthesetwonumbers?

a. 11

b. 24

c. 112

d. 16

e. NoneofThese

Thirty-Fifth Annual Sixth Grade Math Blaststanmathcouncil.org/documents/2017/17_First_Stage.pdf ·...

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