Counting in 10s, 100s, 1,000s, 10,000s and 100,000s 1 Complete the sequences and describe what is happening. a) 7, 17, , 37, 47, , 67 b) 109, , , 139, 149, , 169 c) 475 675 875 d) 6,300 8,300 9,300 e) 6,300 6,280 6,270 2 a) Count up in 10s starting from 4 4, , , , , b) Count up in 100s starting from 4 4, , , , , c) Count up in 1,000s starting from 4 4, , , , , d) What is the same and what is different about all of your answers? 3 Here is part of a sequence. . . . 7,450 7,550 7,650 7,750 7,850 7,950 . . . Circle all the numbers below that will appear in the sequence. 7,505 9,150 6,050 7,591 16,500 155,250 Explain your answer. Write three other numbers that will also appear in the sequence. © White Rose Maths 2019
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Counting in 10s, 100s, 1,000s, 10,000s and 100,000s
1 Completethesequencesanddescribewhatishappening.
a) 7, 17, , 37, 47, , 67
b) 109, , , 139, 149, , 169
c) 475 675 875
d) 6,300 8,300 9,300
e) 6,300 6,280 6,270
2 a) Countupin10sstartingfrom4
4, , , , ,
b) Countupin100sstartingfrom4
4, , , , ,
c) Countupin1,000sstartingfrom4
4, , , , ,
d) Whatisthesameandwhatisdifferentaboutallof
youranswers?
3 Hereispartofasequence.
...7,450 7,550 7,650 7,750 7,850 7,950...
Circleallthenumbersbelowthatwillappearinthesequence.
7,505 9,150 6,050 7,591 16,500 155,250
Explainyouranswer.
Writethreeothernumbersthatwillalsoappearinthesequence.
©WhiteRoseMaths2019
4 AnumberisrepresentedonaGattegnochart.
1 2 3 4 5 6 7 8 9
10 20 30 40 50 60 70 80 90
100 200 300 400 500 600 700 800 900
1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000 9,000
10,000 20,000 30,000 40,000 50,000 60,000 70,000 80,000 90,000
100,000 200,000 300,000 400,000 500,000 600,000 700,000 800,000 900,000
a) Whatnumberisrepresented?
b) Ifyouadd100,whichcountermovesandinwhichdirection?
c) Ifyousubtract10,000,whichcountermovesandin
whichdirection?
d) Whathappenswhenacounterreachestheendofitsrow?
©WhiteRoseMaths2019
5 Completethetable.
Number 10more 100more1,000
more
10,000
more
100,000
more
25
250
2,500
25,000
250,000
Lookatyourtable.Whatpatternscanyousee?Talkaboutit
withapartner.
6 Anumberisrepresentedonaplacevaluechart.
HTh TTh Th H T O
Brettadds2counterstotheplacevaluechart.
WhatnumberscouldBretthavemade?
Whycan’tBrettaddbothofhiscounterstothehundredscolumn?
Talkaboutitwithapartner.
Compare and order numbers to one million
1 Herearetwonumbersmadeonaplacevaluechart.
A
B
DanisaysAisbiggerthanBbecauseAusesmorecounters.
ExplainwhyDaniiswrong.
2 Circlethesmallernumberineachpair.
a) 15,200 10,000
b) 174,000 300,000
c) 50,000 49,995
d) 80,000 8,000
e) 365,008 1million
3 a) Writethenumbersfromsmallesttogreatest.
7,906 7,960 7,096 7,069
b) Writethenumbersfromgreatesttosmallest.
7,906 7,960 7,096 7,069
c) Whatdoyounoticeaboutyouranswerstoparta)andb)?
4 Circlethegreatestnumberineachlist.
a) 16,578 19,207 18,011 13,999
b) 17,096 17,045 17,088 17,099
c) 23,412 33,508 43,409 13,061
Whichcolumnsdidyoulookat?Why?
©WhiteRoseMaths2019
HTh TTh Th H T O
HTh TTh Th H T O
8 Whitneyissortingsomenumbers.
Sheputsthenumbersintoasortingdiagram.
a) Writethenumbersonthediagram.
Thefirstonehasbeendoneforyou.
145,000 three hundred thousand 799
85,400 62,000 620,000
b) Arethereanynumbersintheoverlappingsection?Explainwhy.
9 a) Circleallthedigitsthatcanreplacethemissingdigit.
275,118>27 ,024
0 1 2 3 4 5 6 7 8 9
b) Thesamedigitismissingineachnumber.
600,00 < 79,466<9 1,255
Circleallthedigitsitcouldbe.
0 1 2 3 4 5 6 7 8 9
5 Write<or>tocomparethepairsofnumbers.
a)3,500 3,400 c) 62,500 65,200
b) 5,400 4,500 d) 147,500 145,700
6
Putthehousepricesinorderfromleastexpensivetomostexpensive.
least expensive most expensive
< < <
7 Putthenumbercardsinorderfromsmallesttogreatest.
< < <
©WhiteRoseMaths2019
557,450 575,540 755,540 455,705
£309,075£312,075£201,770 £310,675
numberslessthan70,000 numbersgreaterthan120,000
145,000
Round numbers to one million
1 Completethesentencestoroundthenumberstothenearest10,000
Thefirstonehasbeendoneforyou.
a) 61,500iscloserto 60,000 than 70,000
61,500roundsto 60,000 tothenearest10,000
b) 64,300iscloserto than
64,300roundsto tothenearest10,000
c) 67,250iscloserto than
67,250roundsto tothenearest10,000
d) 69,425iscloserto than
69,425roundsto tothenearest10,000
2 Completethesentencestoroundthenumberstothenearest100,000
a) 610,500iscloserto than
610,500roundsto tothenearest100,000
b) 640,300iscloserto than
640,300roundsto tothenearest100,000
c) 670,250iscloserto than
670,250roundsto tothenearest100,000
d) 690,425iscloserto than
690,425roundsto tothenearest100,000
3 Drawanarrowandlabel350,000onthenumberline.
Completethesentence.
350,000roundsto tothenearest100,000
©WhiteRoseMaths2019
60,000 65,000 70,000
600,000 650,000 700,000
61,500
610,500
64,300
640,300
67,250
670,250
69,425
690,425
300,000 400,000
4 Thetableshowsthepriceof4differenthomes.
Roundeachpricetothenearest£10,000andnearest£100,000
Typeofhouse PriceRoundedtothenearest£10,000
Roundedtothenearest
£100,000
terracedhouse £194,167
semi-detachedhouse
£225,674
detachedhouse
£365,697
flat £98,099
Whencomparinghouseprices,isitmoreusefultoroundtothe
nearest£10,000or£100,000?Explainwhy.
5 Roundthenumberstothecorrectvalues.
a) 432,442 b) 878,675
tothenearest10is tothenearest10is
tothenearest100is tothenearest100is
tothenearest1,000is tothenearest1,000is
tothenearest10,000is tothenearest10,000is
tothenearest100,000is tothenearest100,000is
©WhiteRoseMaths2019
6 Rosieroundsanumbertothenearest100,000
Heransweris700,000
a) Whatisthesmallestnumbershecouldhavestartedwith?
b) IsAmircorrect?Howdoyouknow?
7 Tilesaresoldinboxesof10
Teddyneeds84tiles.
ExplainwhyTeddyiswrong.
Doraneeds103tiles.
Howmanyboxesoftilesdoessheneed?
Amir
The greatest integer that rounds to 700,000
is 750,000
I need 8 boxes because 84 rounded to the nearest 10 is 80
Negative numbers
1 Completethenumberlines.
a)
b)
2 WhitneyandRonareplayingagame.
–6 –5 –4 –3 –2 –1 0 1 2 3 4
a) Ronmovesforwards5spaces.
Whatnumberishiscounteronnow?
b) Whitneymovesback7spaces.
Whatnumberishercounteronnow?
3 Usethenumberlinetofindthedifferencebetweenthenumbers.
Completethesentences.
a) Thedifferencebetween3and5is
b) Thedifferencebetween–3and5is
c) Thedifferencebetween–1and1is
d) Thedifferencebetween–5and5is
4 ThetemperatureonMondaywas4°C.
a) Thatnightthetemperaturefellby7°C.
Whatwasthetemperatureatnight?
ThetemperatureonMondaynightwas
b) OnTuesdaythetemperaturewas13°C.
Byhowmanydegreesdidthetemperaturerisefrom
MondaynighttoTuesday?
Thetemperatureroseby fromMondaynightto
Tuesdaynight.
©WhiteRoseMaths2019
–5 –4 –3 –2 –1 0 1 2 3 4 5
–5 –4 –3 –2 –1 0 1 2 3 4 5
–25 –20 –15 –10 –5 0 5 10 15 20 25
WhitneyRon
5 Thisbarchartshowsaveragetemperaturesforeachmonthatthe
NorthPole.
a) Onaverage,whichmonthisthehottest?
b) Onaverage,whichmonthisthecoldest?
c) Whatisthedifferenceintemperaturebetweenthe hottestandcoldestmonths?
d) Byhowmanydegreesdoesthetemperaturerise
betweenMarchandAugust?
e) Byhowmanydegreesdoesthetemperature fallbetweenJuneandNovember?
f) Howmanymonthsoftheyearisthetemperature belowfreezing?
g) Inwhichmonthsdoestheaveragetemperaturedrop
belowfreezing?
©WhiteRoseMaths2019
–30
–24
–19
–12
9
15 1613
6
–5
–18
–22
–1
–25
–20
–15
–10
–5
0
5
10
15
20
Average monthly temperature at North Pole
Month of the year
Tem
per
atu
re in
°C
Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec
6 Teddyisonthe4thfloorofanofficebuilding,whichis14metres
abovetheground.
Rosieisintheundergroundcarpark,whichis3metresbelow
theground.
Howfarapartarethey?
TeddyandRosieare apart.
7 a) Whatnumberisthearrowpointingto?
b) WhatnumberishalfwaybetweenCandD?
ThenumberhalfwaybetweenCandDis
0 10
10–4
C D
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