Fractions to percentages Shade the hundred squares to ... · 4 These fractions, decimals and...
Transcript of Fractions to percentages Shade the hundred squares to ... · 4 These fractions, decimals and...
Fractions to percentages
1
a) Whatfractionofthearrayofcountersisred?
b) Whatfractionofthearrayofcountersisyellow?
c) Whatpercentageofthearrayofcountersisred? %
d) Whatpercentageofthearrayofcountersisyellow? %
e) Whatdoyounoticeaboutthetwopercentages?
2 a)Shadethehundredsquarestorepresentthefractions.
40100
65100
12
710
b) Writethefractionsaspercentages.
40
100= % 65
100= %
12
= % 710
= %
c) Compareyourshadedgridswithapartner’s.
Whatisthesameandwhatisdifferent?
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3 Fillinthemissingnumbers.
a) 910
=100
= % c) 950
=100
= %
b) 920
=100
= % d) 925
=100
= %
4
ExplainthemistakethatRonhasmade.
Whatisthecorrectanswer?
120
= %
5 Convertthefractionstopercentages.
a) 14
= b) 15
=
12
= 25
=
34
= 45
=
c) 1620
= d) 4550
=
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820
= 910
=
420
= 1820
=
e) Whatdoyounotice?
6 a) Shadethegridinthegivenproportions.
• 35
green • 14%red
• 420
blue • therestyellow
b) Whatpercentageofthegridisyellow?
%
7 a) Useeachdigitcardoncetomakethestatementscorrect.
21 3 4 5
> 0% 75%=
4 3
<65%
b) Arethereanyothersolutions?
110 is 10%, so 1
20
must be 20%.
Equivalent FDP
1 Whatfraction,decimalandpercentageofeachgridisshadedblue?
2 Matchtheequivalentfractions,decimalsandpercentages.
0.0515
100 5%
0.51
20 15%
0.215 50%
0.1512 20%
3 a) Shadethegridinthegivenproportions.
b) Whatproportionofthegridisunshaded?
Writeyouranswerasafraction,decimalandpercentage.
fraction= decimal= percentage=
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fraction=
decimal=
percentage=
fraction=
decimal=
percentage=
fraction=
decimal=
percentage=
• 310
green
• 0.03red
• 13%blue
• 0.3yellow
4 Completethetable.
Fraction Decimal Percentage
0.21
12%
210
0.4
0.44
4%
34
0.99
5 Amirwasaskedtocompletethestatementusing<,>or=.
14% > 0.4
WhatmistakehasAmirmade?
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6 Matchthedecimalcardstothepeople.
0.65
0.57
0.61
0.6
7 Usethedigitcardstowriteadecimalgreaterthan15
butless
than40%.
Youmaynotuseacardmorethanonceineachnumber.
21 3 4 50
.
Howmanyotheranswerscanyoufind?
14 is greater than 4
My decimal is 410
less than 100%.
My decimal cannot be simplified when it is written as a fraction.
My decimal is 10%
less than 34
My decimal is greater than 60%.
Order FDP
1 Write<,>or=tocompletethestatements.
a) 64%
0.46 d) 0.8 80%
b) 0.96
97100 e) 67%
710
c) 35
35% f) 720
0.3
2 Drawarrowstoestimatethepositionsofthefractions,decimalsand
percentagesonthenumberline.
a) 9% 910
0.9919%
0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
b) 25
0.5245%0.2
0 115
25
35
45
3 Writethefractions,decimalsandpercentagesinascendingorder.
a) 710
13100
21%0.9
b) 0.661%3750
0.66
c) 47%0.89 63100
12%
d) Whichpartwaseasiesttoorder:a),b)orc)?____________________
Why?
e) Whichsetwasmostdifficulttoorder:a),b)orc)?_______________
Why?
f) Compareanswerswithapartner.
Whatisthesameandwhatisdifferent?
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4 Thesefractions,decimalsandpercentagesareindescendingorder.
99% 89100
0.7 0.549%
Tickthefractions,decimalsandpercentagesthatcouldfillthegap.
0.78
51%
35
0.6
410
5 Tommyscored4050
onaMathstest.
Aishagot78%ofthetestcorrect.
Aishathinksshehasdonebetterbecause78isgreaterthan40
DoyouagreewithAisha?___________________
Explainyouranswer.
6 Huan,NijahandScotteachstartedwitha1-litrebottleofjuice.
Huandrank0.55litres.
Nijahdrank59%ofherjuice.
Scotthas 410
ofhisjuiceleft.
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Whodrankthemost?Showyourworking.
___________________drankthemost.
Whodranktheleast?Showyourworking.
___________________dranktheleast.
7 a) Usethedigitcardstomakethestatementcorrect.
1 2 3 4 5 6 7 8 9 10
0.3<10
<80%
Howmanydifferentsolutionscanyoufind?
b) Usethedigitcardstowriteapercentagegreaterthan 25
butless
than75%.
0 2 3 4 6 7
25
< <0.75
Howmanydifferentpercentagescanyoufind?
Compareanswerswithapartner.
1 litre 1 litre 1 litre
Percentage of an amount (2)
1 a) Usethebarmodeltofind10%of500
0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100%
?
500
10%of500=
b) Useyouranswertoparta)tohelpyoucompletethecalculations.
20%of500= 70%of500=
90%of500= 60%of500=
30%of500= 100%of500=
2
UseDora’smethodtocompletethecalculations.
a) 5%of40= d)5%of2,000=
b) 5%of400= e)5%of6,000=
c) 5%of4,000=
Whatdoyounoticeaboutyouranswers?
3 Somechildrenareaskedtofind75%of340
a) UseDexter’smethodtofind75%of340
b) UseAlex’smethodtofind75%of340
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To find 5% you can find 10% and then halve it.
I will find 25% and multiply it by 3
I will find 10% and multiply it by 7, then find 5% and add them together.
c) UseAmir’smethodtofind75%of340
d) Arethereanyothermethodsyoucoulduse?
4 Talktoapartneraboutdifferentmethodsforfindingthese
percentages.
20%90%60%15%55%40%
Useyourpreferredmethodtocalculatethepercentages.
a) 20%of1,000= d) 15%of1,000=
20%of550= 15%of300=
20%of40= 15%of30=
b) 90%of1,000= e) 55%of1,000=
90%of4,230= 55%of4,400=
90%of90= 55%of8=
c) 60%of1,000= f) 40%of1,000=
60%of400= 40%of400=
60%of98= 40%of98=©WhiteRoseMaths2019
5 Roniscalculatingthesepercentages.
10%of2020%of10
HowdoesRonknowthis?
6 a) Completethecalculations.
20%of40= 25%of60=
40%of20= 60%of25=
b) Whatdoyounoticeabouttheanswers?
c) Doesthisalwayshappen?Investigatewithotherexamples.
d) Talkaboutyourfindingswithapartner.
20% is double 10%, and 10 is half of 20, so I know
these will both have the same answer.
I will find 25% and 50% and add them together.