the 3 times-table

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?


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.


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.

10cra

yons

10cra

yons

10cra

yons

10cra

yons

10cra

yons

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?


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?


3 5 6

8 Kimrollsthree6-sideddice.

Theproductofhernumbersis60

a) Whatnumberscouldshehaverolled?

b) HowmanydifferentwayscouldKimhavemade60?


c) Rollthreediceandfindtheproductofthenumbers

youroll.

9 Inthelibrarythereare5bookcases.

Eachbookcasehas4shelves.

Oneachshelfthereare12books.

Howmanybooksarethereinthelibrary?

6 Eggsareputinboxesinarraysof2×3

Danibuys12boxes.

Howmanyeggsdoesshebuyaltogether?

Danibuys5moreboxes.

Howmanyeggsdoesshehavenow?

7 a) Write30astheproductof3numbers.

× × =30

b) Howmanydifferentwayscanyouwritethemultiplication?


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


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.


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?


c) Whatothermethodscouldyouusetoworkout28×4?

2 Mo,AmirandAnnieworkedout35×6in3differentways.

a) Workouttheanswerusingeachmethodtoshowthatthey

areallcorrect.

Mo Amir

Annie

b) Whohasusedthemostefficientmethod?



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=


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

the 3 times-table

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