the 3 times-table
TRANSCRIPT
The 3 times-table
1 Completethemultiplications.
a)
× =
b)
× =
2 Danimakesanarrayusingcounters.
Writetwomultiplicationandtwodivisionfactsrepresentedby
thearray.
× =
× =
÷ =
÷ =
3 Completethenumbersentences.
a) 6×3=
b) 3× =27
c) ÷11=3
d) ÷3=5
e) 12×3=
f) ×3=0
4 Completethenumbersentences.
a) 2×3=
4×3=
8×3=
b) 6=3×
12=3×
18=3×
Whatpatternsdoyounotice?
5 Write<,>or=tocomparethestatements.
a) 33÷11 3
b) 27 30÷3
c) 9÷3 3x6
d) 6x3 6÷3
e) 3x6 18÷3
f) 0x3 3÷3
©WhiteRoseMaths2019
9 a) Completethemultiplications.
Aretheanswersoddoreven?Tickyouranswer.
odd even
1×3=3
2×3=
3×3=
×3=12
b) Whatwouldthenextmultiplicationbe?
×3=
c) Whatdoyounoticeabouttheproducts?
d) Willtheproductof11×3beoddoreven?
10 Usethefactthat12×3=36toworkoutthecalculations.
13×3=
3×15=
14×3=
24×3=
Howdidyouworkthisout?
Didyoufindtheanswersinthesamewayasyourpartner?
6 Colourallthenumbersinthe3times-table.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50
Whattwopatternsdoyounotice?
7 Workoutthemissingvaluesineachbarmodel.
a)
3 3 3 3 3 3
b) 36
8 Mohas7packetsof3stickers.
Evahas3packetsof9stickers.
Whohasthegreatestnumberofstickers?
©WhiteRoseMaths2019
11 and 12 times-table
1 Thebase10represents2×11
2×11=22
Usebase10toworkout3×11
Drawyourbase10andcompletethemultiplication.
3×11=
2 Completethecalculations.
5×11= 7×11=
9×11= 4×11=
6×11= 3×11=
10×11= 12×11=
3 Rosieisspottingpatternsinthe11times-table.
a) DoyouagreewithRosie?
Explainyouranswer.
b) Whatelsedoyounotice?
Whatotherpatternscanyouseeinthe11times-table?
Talkaboutitwithapartner.
4 Crayonscomeinpacksof12
Dorabuys5packsofcrayons.
Howmanycrayonsdoesshehave?
Dorahas crayons.
©WhiteRoseMaths2019
2 × 11 = 222 + 2 = 4 which is an even number
When I add together the digits of each multiple
of 11, I always get an even number.
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yons
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7 MrScottisorganisingacrickettournament.
a) Thereare11playersinacricketteam.
5teamshavesignedupforthetournament.
Howmanyplayershavesignedup?
b) MrScottneeds132playerssigneduptogoaheadwith
thetournament.
Howmanymoreteamsareneeded?
moreteamsareneeded.
8 Dexterhasbeenlookingatthe12times-table.
Henoticessomethingwhenheaddsthedigitsofthemultiples
of12together.
a) Dexterthinksthenextnumberinthepatternwillbe15
Ishecorrect?
Explainyouranswer.
b) Whathappenswhenhetriesthisforallthemultiplesof
12upto12×12?
Isthereapattern?
5 Ronusesabarmodeltorepresent84dividedby12
84
12 12 12 12 12 12 12 12 12 12 12 12
a) ExplainRon’smistake.
b) Drawthecorrectbarmodeldiagramtorepresent84
dividedby12
6 Amirismakingpicturesusingshapes.
Hereisonepicture.
Amirmakes12pictureslikethisone.
a) Howmanyshapesdoesheusealtogether?
Showyourworking.
b) Ifeachpictureisexactlythesame,howmanyofeachshape
doesAmiruse?
= =
= = ©WhiteRoseMaths2019
1 + 2 = 32 + 4 = 63 + 6 = 94 + 8 = 12
Multiply 3 numbers
1 Tommyismakingarraysusingcounters.
a) Completethemultiplications.
2×5= 2×5= 2×5=
b) Useyouranswertoparta)tocompletethemultiplication.
3×2×5= ×5=
2 Usecountersorcubestocompletethecalculations.
a) 2×4×5=
b) 3×5×4=
c) 2×5×8=
Isthereaquickwaytocompleteeachcalculation?
Talkaboutitwithapartner.
3 Completethemultiplications.
a) 3×4×5= d) 3×5×4=
b) 2×3×8= e) 3×6×10=
c) 2×4×7= f) 2×5×12=
4 Iseachstatementtrueorfalse?
Tickyouranswers.
True False
7×8=7×4×2
12×4=2×4×6
3×2×8=5×8
2×7×4=4×7×2
Compareanswerswithapartner.
5 Herearesomedigitcards.
a) Usethedigitcardstocreateamultiplicationandworkout
theanswer.
× × =
b) Howmanydifferentmultiplicationscanyoucreate?
Whatdoyounoticeaboutallofyouranswers?
©WhiteRoseMaths2019
3 5 6
8 Kimrollsthree6-sideddice.
Theproductofhernumbersis60
a) Whatnumberscouldshehaverolled?
b) HowmanydifferentwayscouldKimhavemade60?
Talkaboutitwithapartner.
c) Rollthreediceandfindtheproductofthenumbers
youroll.
9 Inthelibrarythereare5bookcases.
Eachbookcasehas4shelves.
Oneachshelfthereare12books.
Howmanybooksarethereinthelibrary?
6 Eggsareputinboxesinarraysof2×3
Danibuys12boxes.
Howmanyeggsdoesshebuyaltogether?
Danibuys5moreboxes.
Howmanyeggsdoesshehavenow?
7 a) Write30astheproductof3numbers.
× × =30
b) Howmanydifferentwayscanyouwritethemultiplication?
©WhiteRoseMaths2019
Factor pairs
1 Alexismakingarraysusingcounters.
a) Whatcalculationisrepresentedineacharray?
× =18
× =18
× =18
b) Useyouranswersfromparta)tohelpyouwriteallthe
factorsof18
2 Usecounterstomakearraysandfindthefactorpairsfor
eachnumber.
a) 12
b) 15
c) 24
Whichofthenumbershasthemostfactorpairs?
3 Completethefactorbugsfor45and64
4 Findallthefactorpairsforthenumber72
Thefactorpairsof72are
©WhiteRoseMaths2019
45 64
4
641 145
b) Findtwoothernumberswiththesamenumberof
factorpairs.
8 Class4Bishavingasportsday.
Thereare36childrenintheclass.
Thechildrenneedtobeinequalgroups.
Whatgroupsizesarepossible?
9 Rosieisinvestigatingfactorpairs.
Whatisthenextperfectnumberafter6?
5 Arethesestatementstrueorfalse?
True False
8 and 2 are both factors of 10
5 and 50 are both factors of 50
25 has only three factors.
All the factors of 15 are odd.
Talkaboutyouranswerswithapartner.
6
UseexamplestoshowthatDexteriswrong.
7 Tommyisfindingfactorsof12and18
a) IsTommycorrect?
Explainyouranswer.
©WhiteRoseMaths2019
The bigger the number the more factor pairs it has.
12 and 18 have the same number
of factor pairs.
6 is a perfect number because when you add its
factors together, apart from itself, they equal 6
Efficient multiplication
1 Class4aremultiplying28×4mentally.
Theyaretryingtwodifferentmethods.
a) Completetheircalculations.
Method 1
20×4+8×4= + =
Method 2
4× =
b) Whichmethoddoyoufindeasier?
Talkaboutitwithapartner.
c) Whatothermethodscouldyouusetoworkout28×4?
2 Mo,AmirandAnnieworkedout35×6in3differentways.
a) Workouttheanswerusingeachmethodtoshowthatthey
areallcorrect.
Mo Amir
Annie
b) Whohasusedthemostefficientmethod?
Talkaboutitwithapartner.
©WhiteRoseMaths2019
I multiplied 30 by 6 and then added
5 more lots of 6
I multiplied 35 by 2, then multiplied
that answer by 3
I multiplied 5 by 6, then multiplied
that answer by 7
Mo
Amir
Annie
5 Estherhasfoundaquickwaytomultiply84by5
UseEsther’smethodtocompletethecalculations.
43×5= 74×5=
62×5=
6 TommyandDoraarebothworkingout25×8
a) UseTommy’smethodtoworkouttheanswer.
b) UseDora’smethodtoworkouttheanswer.
c) Whosemethoddoyouprefer?Why?
d) Doyouknowanothermethod?
3 Scottisworkingout21×4
a) WhatmistakehasScottmade?
b) Whatisthecorrectanswer?
4 Jackworksout36×9
AdaptJack’smethodtoworkout36×99
36×99=
©WhiteRoseMaths2019
36 × 936 × (10 – 1)360 – 36 = 324
25 × 8 = 25 × 10 − 25 × 2
25 × 8 = 50 × 8 ÷ 2
20 × 4 = 80 80 – 4 = 76 21 × 4 = 76
84 × 584 × 10 = 840(then divide by 2) which is 420