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SpeedQuestions,Grade4

2022MathLeagueInternationalSummerChallenge(Unofficialversion,forreferenceonly)

Note:

ListedbelowarethefourtypesofcoinscurrentlybeingmintedinUnitedStates.

Penny:1￠

Nickel:5￠

Dime:10￠

Quarter:25￠

1.21×22=

A)43

B)442

C)462

D)2122

Answer:C

Whatistheaverageof1,2,3,4,5,6,and7?

1

4

7

10Answer:B

Ihave1penny,5nickels,and10dimes.HowmuchmoneydoIhave?A)$1.25

B)$1.26

C)$1.50

D)$1.51

Answer:B

Thedigitalsumfortheyear2022is2+0+2+2or6.Howmanyyearsfrom2023to2500haveadigitalsumof6?

10

12

13

14Answer:B

5.100%of50=200%of?

25

75

C)100

D)150

Answer:A

Ofthefollowing,whichfractiondoesnotequal2?

3

2233

46

1827

4090

Answer:D

Thesumoftwowholenumbersis36.Theirgreatestpossibleproductis

A)35

B)260

C)320

D)324

Answer:D

Howmanydifferentrectanglesdoesthisdiagramcontain?(Countallrectangles,includingsquares.)

18

24

36

64Answer:C

Howmanypositiveprimenumbershaveonesdigitof5?

0

1

5

25Answer:B

IfIstartwith$100,increasethisby50%,thendecreasethenewamountby50%,howmuchmoneywillIhave?

A)$50

B)$66

C)$75

D)$100Answer:C

Bobearned$33in6days.Atthesamerate,Bob’stotalearningsshouldbe$88inhowmanymoredays?

10

14

16

22Answer:A

Ofthefollowingwholenumbers,whichhasthefewestnumberoffactors?

6

8

10

11

Answer: D

13.111111222222333333444444222222?

1

4

5

10Answer:C

Round0.999tothenearesttenth.A)0.1

B)0.9

C)0.99

D)1.0

Answer:D

Ozziehidhisheadinthesand98hoursafter11P.M.Sunday.Ozziehidhisheadona

Tuesday

Wednesday

Thursday

FridayAnswer:D

Theonesdigitoftheproduct9×9×9×9×9×9×9×9is

1

2

9

0Answer:A

Thenumberofzero-digitsin80500is3.Iftheproduct1×2×3×4×5×6×7×8×9×10=3628800,howmanyzero-digitsareintheproduct10×20×

30×40×50×60×70×80×90×100?

10

11

12

13Answer:C

18.(200+199+198+?+101)?(100+99+?+1)=100×?

A)99

B)100

C)199

D)200

Answer:B

IfImadealistofeveryseven-digitwholenumbergreaterthan1millionwhichhasexactlysixofitsdigitsequalto9,howmanydifferentnumberswouldbeonmylist?

7

9

62

63Answer:C

Ifthesumoftwowholenumbersequalstwicetheirdifference,thissumcannotbeA)222

B)444

C)888

D)1000

Answer:A

Allthefollowinghave2,3,5,6,10,15,and30asfactorsexcept

A)543420

B)85030

C)72630

D)53430

Answer:B

Inaclassof30students,exactly7havesmartphones,exactly15havepocketcalculators,andexactly2haveboth.Howmanyofthe30studentshaveneither?

10

8

6

4Answer:A

23.2m1000mm

10cm

100cm

20cm

200cmAnswer:B

Aprimenumbermultipliedbyitsreciprocalwillalwaysbe

prime

0

even

oddAnswer:D

Whichofthefollowingfractionsislessthanone-third?

514

1546

3190

D)104

309

Answer:B

Inaclass,theratioofthenumberofboystothenumberofgirlsis2to3.Thenumberofboysiswhatpercentofthenumberofstudentsintheentireclass?

A)20%

B)40%

C)60%

D)662%

3

Answer:B

Joanboughtapaintingfor$10,solditfor$20,repurchaseditfor$30,thenresolditfor$40.Joan

brokeeven

made$20

lost$10

lost$20

Answer:B

Howmuchlessistheareaofarectangularfield60metersby40metersthanthatofasquarefieldwiththesameperimeter?

10squaremeters

100squaremeters

1000squaremeters

they’reequalAnswer:B

Choice? hasmoredifferentprimefactorsthantheotherchoices.A)1997

B)1998

C)1999

D)2000

Answer:B

Aclockissetcorrectlyat2P.M.Itloses3minuteseveryhour.Whatisthecorrecttimewhentheclockreads9A.M.thenextday?

A)8A.M.

B)8:03A.M.

C)9:57A.M.

D)10A.M.Answer:D

Findthelargestprimefactorof30×40×50.

3

5

10

50Answer:B

Intherectanglebelow,theareaoftriangleABCis12.WhatistheareaoftriangleABE?(EisthemidpointoflinesegmentCD.)

18

15

12

10Answer:C

Allthewholenumberswithafirstdigitof2arewritteninincreasingorder.Thelistbegins2,20,21,22,…Findthe1000thdigitthuswritten.

6

7

8

9Answer:A

Mybicyclehasarearwheelwhosediameteris1.2timesasbigasthediameterofthefrontwheel.AsIridemybicycle,ifthefrontwheelturns120times,therearwheelwillturn

96times

100times

120times

144timesAnswer:B

ForanynumberN,let#(N)bethenumberofprimenumberslessthanorequaltoN.Whatis#(8620)-#(8614)?

0

1

2

3Answer:A

Imultipliedonewholenumberby18.Imultipliedasecondwholenumberby21.Ithenaddedthetwoproducts.Ofthefollowing,whichcouldhavebeentheresultingsum?

A)2020

B)2021

C)2022

D)2023

Answer:C

Thelengthsofthesidesofatriangleare6,8,and10.Theareaofthistriangleis

24

30

40

48Answer:A

Ina10-teamleague,eachteamplayseveryotherteamexactlytwice.Findthetotalnumberofgamesplayedintheleague.

45

81

90

D)180

Answer:C

Amanhas2pennies,3nickels,1dime,and2quarters.Howmanydifferentsumsofmoneycanhemakeusingoneormoreofthese8coins?

8

12

47

77Answer:C

Apilotflew80km.Heflewthefirst4minutesathalfspeedandthesecond4minutesatfullspeed.Thefullspeedoftheplaneis

400km/hr

600km/hr

800km/hr

1000km/hrAnswer:C

Awholenumberiscalledanincreasingnumberifeachdigitinthenumberisgreaterthanthedigittoitsleft.Forexample,2359isanincreasingnumber.Howmanyincreasingnumbersaretherebetween5000and10000?

3

4

5

6Answer:C

9

16

42.

5

A)

7

B)

5

7Answer:D

Howmanydifferentthree-digitnumberscanbemadeusinganythreeofthefollowingfivedigits:1,2,2,3,and3?

12

16

18

20Answer:C

IfBisthemidpointofAC,andifCisthemidpointofBD,thenwhatpercentofCDisAC?

A)25%

B)50%

C)100%

D)200%

Answer:D

At3:30,thehandsofanaccurateschoolclockmakeanangleof

90degrees

75degrees

65degrees

60degreesAnswer:B

Forwhatvalueofxwillthesumofthenumbersineachrow,eachcolumn,andbothmajordiagonalsbeequalinthe“magicsquare”shownbelow?

13

4

8

10

17

5

6

12

x

9

14

15

16

18Answer:C

Whatisthe200thnumberinthesequence1,1,1,2,1,3,1,4,1,5,…?

A)1

B)100

C)101

D)200

Answer:B

Whatistheremainderwhen

0

1

2

3Answer:B

1099

isdividedby9?

Asquarecanbedividedinto9smallercongruentsquares,asshown.Bydrawingdifferentlines,itwouldbepossibletodividethissquareinto? smallercongruentsquares.

70

80

90

D)100

Answer:D

Amantravelsadistanceof20milesat60milesperhourandthenreturnsoverthesamerouteat40milesperhour.Findhisaverageratefortheroundtripinmilesperhour.

50

48

47

46Answer:B

Howmanywholenumbersbetween1and500aredivisibleby6butarenotdivisibleby8?

83

73

63

53Answer:C

Whatisthemissinglengthinthediagram(whichisnotdrawntoscale)?

AB=9,BC=18,BD=6,CE=?

12

15

18

21Answer:C

Annsays“Ineverlie.”Bobsays“Annisnotlying.”Carolsays“Bobislying.”Dansays“Carolisnotlying.”IfBobislying,howmanyoftheotherthreemustbelying?

0

1

2

3Answer:B

Whatistheprobabilitythat,initsspelling(usingalllowercaselettersexceptthefirstone),arandomlychosendayoftheweekusestheletter“u”?

27

37

47

57

Answer:C

Iftheaverageof

21999

and

22001

isequaltothenumberofpirateswhoever

livedonTreasureIsland,thenhowmanypirateseverlivedonTreasureIsland?

A)521998

B)321998

C)321999

D)22000

Answer:A

After5tests,astudent’saveragewas80.Aftertakinganexaminationwhichcountedastwotestgrades,his