Rounding decimals
1 Showthepositionofeachnumberonthenumberline.
Usethenumberlinetoroundthesedecimalstothenearest
wholenumber.
a) 7.2
7.5
7 8
Thenearestwholenumberis
b) 14.8
14.5
14 15
Thenearestwholenumberis
c) 6.5
Thenearestwholenumberis
Explaintoapartnerhowtorounddecimalnumberstothenearest
wholenumber.
2 Usethenumberlinetoroundthesedecimalnumberstothe
nearesttenthandthenearestwholenumber.
a) 7.23
7.25
7.2 7.3
Thenearesttenthis
Thenearestwholenumberis
b) 14.56
14.55
14.5 14.6
Thenearesttenthis
Thenearestwholenumberis
c) 6.45
Thenearesttenthis
Thenearestwholenumberis
Explaintoapartnerhowtorounddecimalnumberstoone
decimalplace.
©WhiteRoseMaths2019
©WhiteRoseMaths2019
3 a) Whenroundingtothenearesttenth,how
manydigitswilltherebeafterthedecimalpoint?
b) Roundeachnumbertoonedecimalplace.
1.33 4.03
1.34 4.04
1.35 4.05
1.36 4.06
1.37 4.07
4 Roundeachnumbertothenearesttenth.
a) 4.21 d)11.86 g) 12.92
b)8.09 e) 5.67 h) 10.65
c) 4.84 f) 0.15
5 Circleeachdecimalthatroundsto6.2
6.32 6.23 6.27 6.17 6.12 6.25
Explainyourreasoning.
6 Herearetheweightsinkilogramsofsomeparcels.
3.48kg 1.42kg 10.65kg 1.03kg
a)Roundtheweightofeachparcelto1decimalplace.
kg
kg
kg
kg
b)The weight of each parcel has been rounded to the nearest 100g.
Isthistrueorfalse?
Talkaboutitwithapartner.
7 Amiristhinkingofanumber.
Roundedtothenearestwholehisnumberis5
Roundedtothenearesttenthhisnumberis4.8
WriteatleastfourdifferentnumbersthatAmircouldbethinkingof.
8 Afarmerisbuildinganewfenceforhersheepfield.
Herearethemeasurements.
Shewantstobuildafencearoundthewholefield.
Estimatehowmuchfencingyouthinkshewillneed.
Talkaboutyourestimatewithapartner.
89.56m
125.45m
Order and compare decimals
1 Whichnumberisgreater?
Tickyouranswer.
T O Tth Hth
1 1 0.1 0.1
0.1
0.01 0.01
0.01 0.01
0.01
T O Tth Hth
1 1 1 1 1 1
0.01 0.01
Explainyouranswer.
2 Whichisthesmallernumber?
Tickyouranswer.
T O Tth Hth
10 1 1 1 1
0.1 0.1
0.1
0.01 0.01
0.01 0.01
0.01
T O Tth Hth
10 1 1
1 1
0.1 0.1
0.1 0.1 0.1 0.1
Explainyouranswer.
3 Useplacevaluecounterstomakeeachofthenumbers.
4.08 5.14.13
a) Whichisthegreatestnumber?
b) Whichisthesmallestnumber?
Howdoyouknow?
4 Herearesomenumbersinaplacevaluechart.
Ones Tenths Hundredths Thousandths
3 2 3 43 1 63 2 0 83 1 4 5
Writethenumbersinorder,startingwiththegreatest.
5 Mo,Amir,Ron,TeddyandJackaremeasuringtheirheightswith
ametrerule.
Writethenamesandheightsofthechildreninorderfromshortest
totallest.
Name Height
©WhiteRoseMaths2019
Mo
1.35m
Amir
1.53m
Ron
1.32m
Teddy
1.3m
Jack
1.5m
©WhiteRoseMaths2019
6 AlexandDoraarecompetinginthelongjump.
Alexjumps1.35metresandDorajumps1.4metres.
a) IsDoracorrect?
Talkaboutitwithapartner.
b) Kimjoinsinthecompetition.
Whatistheshortestdistanceshecanjumptogointothelead?
7 Writethenumbersinascendingorder.
a) 0.45 0.654 0.546 0.405
b) 7.2kg 7.212kg 7.21kg
c) 25.391 25.309 25.093 25.193
8 Dexteristhinkingofanumber.
WhatpossiblenumberscouldDexterbethinkingof?
9 Tickthenumbersthatareequalto2.5
Circlethenumbersthataregreaterthan2.5
Youwillneedtoconvertthemixednumberstodecimal
numbersfirst.
2.05 25
10 212
25
100 2.53 235
2.501 280
100 23
10
It is a decimal number with 2 decimal places that is
greater than 2.47 but less than 2.58
Alex wins because 35 is greater than 4
Understand percentages
1 Completethesentenceforeachdiagram.
a) Thereare partsoutofa
hundredshaded.
Thisis %.
b) Thereare partsoutofa
hundredshaded.
Thisis %.
c) Thereare partsoutofa
hundredshaded.
Thisis %.
2 Completethetable.
Hundredsquare Percentage
82%
3 Shade15%ofthehundredsquarered.
Shade32%ofthehundredsquareblue.
Whatpercentageofthehundredsquareisnotshaded? %
©WhiteRoseMaths2019
©WhiteRoseMaths2019
4 a) Is1%ofthisbarmodelshaded?
1%
Explainyourreasoning.
b) Whatpercentageofeachbarmodelisshaded?
%
%
5 Passengersareboardingaplane.
Theplanehas100seats.
a) 10%oftheseatsarealreadyfull.
Howmanypassengersarealreadyontheplane?
b) 15%oftheseatshavenotbeenbooked.
Howmanyseatshavebeenbooked?
c) Howmanypassengersstillneedtoboardtheplane?
6 Dexterhas£1tospend.
Hebuyssomestickers.
WhatpercentageofhismoneydidDexterspend?
%
7 AishaandBretthavebeensellingticketsfortheschoolplay.
Thereare100seatsavailable.
• OnMondaytheysold34%ofthetickets.
• OnTuesdaytheysold42tickets.
• BytheendofWednesday,95%oftheticketshadbeensold.
HowmanyticketsdidtheysellonWednesday?
OnWednesdaytheysold tickets.
8 Shade85%ofthisbarmodel.
Compareanswerswithapartner.
I got 35p change.
Goo
d Work
Excellent
W
ell Done
VERY G OO
D
GREAT
W
hat a Star
WELL
DONE
Percentages as fractions and decimals
1 Herearefourhundredsquares.
A C
B D
Completethetable.
Hundredsquare
Percentage Fraction Decimal
A52
100
B
C
D
2
Provethat0.2isequalto20%.
Youmayusethehundredsquaretohelpyou.
Whydoyouthinksomepeoplethinkthat0.2isequalto2%?
3 Completethefraction,decimalandpercentageequivalents.
a) 32%=100
=
35%=100
=
48%=100
=
b) 17100
= %=
9100
= %=
90100
= %=
©WhiteRoseMaths2019
c) 0.29= %=100
0.71= %=100
0.03= %=100
©WhiteRoseMaths2019
4 Write<,>or=tocompletethestatements.
a) 50%5
100 d)40
100 40%
b) 25%50100 e)
70100 7%
c) 14%41100 f) 82%
82100
5 Writethevaluesinorderfromsmallesttogreatest.
a) 33%301003%
13100
b) 299%911009%
910
c) 2.52510025025%of100
251000
6 Convertthefractionstohundredths.
Completethedecimalandpercentageequivalents.
a) 150300=
100= = %
b) 25500=
100= = %
c) 48300=
100= = %
d) 1850=
100= = %
e) 1325=
100= = %
7 Circleallthefractionsthataregreaterthanorequalto50%.
1050
45
50100
3080
150
70140
8 JackandDoragoshoppingwiththesameamountofmoney.
Jackspends13ofhismoney.
Doraspends30%ofhermoney.
a) Whospendsmoremoney?
Usefractionandpercentageequivalencetoexplain
youranswer.
b) JackandDoraeachstartedwith£300
Howmuchmoneydotheyeachhaveleft?
Jack Dora
Equivalent F.D.P
1 Rosiemakesanumberona100beadstring.
a) Whatfractionofthebeadstringiscircled?
b) Writethefractionasadecimal.
c) Writethedecimalasapercentage.
%
2 Circlethevalueoneach100beadstring.
a) 70%
b) 0.08
c) 45100
d) 95%
3 a) Whatfraction,decimalandpercentageofthehundredsquare
isshaded?
Hundredsquare Fraction Decimal Percentage
Compareanswerswithapartner.
Didyougetthesameanswers?
Didyousimplifyanyofyouranswers?
b) Completethetable.
Quarters Hundredths Decimal
14 100
4
50100
0.75
©WhiteRoseMaths2019
©WhiteRoseMaths2019
4 Usethediagramtohelpyoucompletetheequivalencestatements.
100%
50% 50%
20% 20% 20% 20% 20%
10% 10% 10% 10% 10% 10% 10% 10% 10% 10%
a) 1whole= % c) 110
= = %
12
= % 310
= = %
15
= % 710
= = %
110
= % 910
= = %
b) 15
= = %
25
= = %
35
= = %
45
= = %
55
= = %
5 Filipgetssomemoneyforhisbirthday.
Hespends25
ofhismoneyandsavestherest.
Whatpercentagedoeshesave? %
6 Doraisdoingaschoolsurvey.
ShecompareshowmanychildrenwearglassesinClass4and
Class5
• 15
ofthechildreninClass4wearglasses.
• 25%ofthechildreninClass5wearglasses.
• Bothclasseshavethesamenumberofchildren.
Whichclasshasmorechildrenwhowearglasses?
Explainyourreasoning.
7 Thereare30childreninClass5
• 25
havebrownhair.
• 50%haveblondehair.
a) Whatpercentageofchildrendonothavebrownorblondehair?
%
b) Whatinformationdidyounotneedtoknowtoworkout
theanswer?
8 14
=25%= 25100
= 2501000
Usethisfacttoconvert18
and38
todecimals.
18
= 38
=