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?

©WhiteRoseMaths2019

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

=

©WhiteRoseMaths2019

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=

©WhiteRoseMaths2019

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?

©WhiteRoseMaths2019

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?

©WhiteRoseMaths2019

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.

©WhiteRoseMaths2019

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

©WhiteRoseMaths2019

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.