area of rectangles 3 c) - meophamca.com...area of rectangles 1 on the grid, the area of each square...
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Area of rectangles
1 Onthegrid,theareaofeachsquareis1cm2
Calculatetheareaofeachrectangle.
a) c)
b)
2 Completethesentencestodescribetherectangle.
Thereare rows.
Eachrowhas squares.
Thereare squaresaltogether.
× =
3 Theareaofeachsquareis1cm2
Workouttheareaofeachrectangle.
a) c)
× = × =
area= area=
b) d)
× = × =
area= area=
©WhiteRoseMaths2019
1cm
1cm
1cm
1cm
1cm
1cm
©WhiteRoseMaths2019
4 Calculatetheareaoftherectangles.
A= cm2 B= cm2 C= cm2 D= cm2
5 Workouttheareaoftheserectangles.
a) b)
6 Howmanyrectanglescanyoudrawthathaveanareaof24cm2?
Labelthelengths.Yourdrawingsdonothavetobeexact.
Compareyouranswerswithapartner.
7 Theseshapesallhavethesamearea.ShapeAisasquare.
Workoutthemissinglengths.
8 Arectanglehasanareaof96cm2
Thelengthoftherectangleis4cmlongerthanthewidth.
Workoutthelengthandwidthoftherectangle.
length= width=
12mm
4mm
30m 7m
2cm
5cm
2cm
4cm
2cm
3cm
2cm
2cmAB
CD
6cmcm
9cm
3cm
cm
A
C
B
Area of rectangles
1 Onthegrid,theareaofeachsquareis1cm2
Calculatetheareaofeachrectangle.
a) c)
b)
2 Completethesentencestodescribetherectangle.
Thereare rows.
Eachrowhas squares.
Thereare squaresaltogether.
× =
3 Theareaofeachsquareis1cm2
Workouttheareaofeachrectangle.
a) c)
× = × =
area= area=
b) d)
× = × =
area= area=
©WhiteRoseMaths2019
1cm
1cm
1cm
1cm
1cm
1cm
©WhiteRoseMaths2019
4 Calculatetheareaoftherectangles.
A= cm2 B= cm2 C= cm2 D= cm2
5 Workouttheareaoftheserectangles.
a) b)
6 Howmanyrectanglescanyoudrawthathaveanareaof24cm2?
Labelthelengths.Yourdrawingsdonothavetobeexact.
Compareyouranswerswithapartner.
7 Theseshapesallhavethesamearea.ShapeAisasquare.
Workoutthemissinglengths.
8 Arectanglehasanareaof96cm2
Thelengthoftherectangleis4cmlongerthanthewidth.
Workoutthelengthandwidthoftherectangle.
length= width=
12mm
4mm
30m 7m
2cm
5cm
2cm
4cm
2cm
3cm
2cm
2cmAB
CD
6cmcm
9cm
3cm
cm
A
C
B
Equivalent fractions
1 Shadetheshapestoshowtheequivalentfractions.
a)
14
= 12
b)
34
= 12
c)
16
=
d)
56
=
2 Drawtworectanglestoshowthat 13
= 412
3 a)Sortthefractionsintothegroups.
Equivalentto 14
Equivalentto 13
26
312
624
520
412
28
824
515
b) Writeonemorefractionineachgroup.
4 Completetheequivalentfractions.
a) 17
=14 d) 3
4=
6 g) 2 =10
15
b) 57
=14 e) 3
4=
12 h) 2 =10
25
c) 78
=
14 f) 3
4=
12 i) 27
=
10
j) Describethepatterninpartg),h)andi)toapartner.
©WhiteRoseMaths2019
©WhiteRoseMaths2019
5 Findthreewaystomakethefractionsequivalent.
a) 1 = 7 b) 7 = 14
c)7 = 14
1 = 7
7 = 14
7 = 14
1 = 7
7 = 14
7 = 14
6 Ronisfindingequivalentfractionsto 14
DoyouagreewithRon?
Drawadiagramtosupportyouranswer.
Compareanswerswithapartner.
7 Herearesomeequivalentfractions.
FindthevaluesofA,BandC.
3B
218
C90
A9
A= B= C=
8 Herearethreefractioncards.
Allthefractionsareequivalent.
B14
12C
3A
A+B=13
WorkoutthevalueofC.
C=
9 15
= 31+
Findthevalueof
=
14 is equivalent to 5
8and 9
12
Equivalent fractions
1 Shadetheshapestoshowtheequivalentfractions.
a)
14
= 12
b)
34
= 12
c)
16
=
d)
56
=
2 Drawtworectanglestoshowthat 13
= 412
3 a)Sortthefractionsintothegroups.
Equivalentto 14
Equivalentto 13
26
312
624
520
412
28
824
515
b) Writeonemorefractionineachgroup.
4 Completetheequivalentfractions.
a) 17
=14 d) 3
4=
6 g) 2 =10
15
b) 57
=14 e) 3
4=
12 h) 2 =10
25
c) 78
=
14 f) 3
4=
12 i) 27
=
10
j) Describethepatterninpartg),h)andi)toapartner.
©WhiteRoseMaths2019
©WhiteRoseMaths2019
5 Findthreewaystomakethefractionsequivalent.
a) 1 = 7 b) 7 = 14
c)7 = 14
1 = 7
7 = 14
7 = 14
1 = 7
7 = 14
7 = 14
6 Ronisfindingequivalentfractionsto 14
DoyouagreewithRon?
Drawadiagramtosupportyouranswer.
Compareanswerswithapartner.
7 Herearesomeequivalentfractions.
FindthevaluesofA,BandC.
3B
218
C90
A9
A= B= C=
8 Herearethreefractioncards.
Allthefractionsareequivalent.
B14
12C
3A
A+B=13
WorkoutthevalueofC.
C=
9 15
= 31+
Findthevalueof
=
14 is equivalent to 5
8and 9
12
Improper to mixed numbers
1 Converttheimproperfractionstomixednumbers.
a)
85
=
b)
5 =
c)
=
d)
=
2 Shadethebarmodelstorepresenteachimproperfraction.
Converttheimproperfractionstomixednumbers.
a)
73
=
b)
83
=
c)
94
=
d)
114
=
©WhiteRoseMaths2019
©WhiteRoseMaths2019
3 Converttheimproperfractionstomixednumbers.
a) 102 = e) 12
5 =
b) 103 = f) 13
6 =
c) 104 = g) 13
7 =
d) 105 = h) 31
8 =
4 Evahas7bottlesofjuice.
Eachbottlecontainshalfalitreofjuice.
HowmanylitresofjuicedoesEvahavealtogether?
Writeyouranswerasamixednumber.
5 Dexterisconvertingimproperfractions.
ExplainwhyDexterisincorrect.
6 Findthevalueof
=
7 Findtwopossiblevaluesforand
= =
= =
323
= 3 23
12 l
12 l
12 l
12 l
12 l
12 l
12 l
27=
2
30=
2
Mixed numbers to improper fractions
1 Convertthemixednumberstoimproperfractions.
a)
b)
c)
2 Convertthemixednumberstoimproperfractions.
Colourthebarmodelstohelpyou.
a)
2
14
=
b)
2
13
=
c)
3
13
=
d)
3 25
=
©WhiteRoseMaths2019
2 34
= 4
2 38
= 8
3 38
= 8
©WhiteRoseMaths2019
3 Convertthemixednumberstoimproperfractions.
Writethenextconversionineachpart.
a) 217= c) 51
2=
227= 51
4=
237= 51
8=
= =
b) 315=
415=
515=
=
Talktoapartneraboutanypatternsyouspot.
4 Hereare4wholepizzasand35
ofapizza.
Howmanychildrencanhave 15
ofapizza?
5 Whitneyisconvertingmixednumberstoimproperfractions.
DoyouagreewithWhitney?
Explainyouranswer.
6
35=
5
Thetableshowssomepossiblevaluesofthecircle.
Usethistofindthecorrespondingvalueofthetriangle.
1
2
4
8
16
88
803
4 17 = 28
7
Improper to mixed numbers
1 Converttheimproperfractionstomixednumbers.
a)
85
=
b)
5 =
c)
=
d)
=
2 Shadethebarmodelstorepresenteachimproperfraction.
Converttheimproperfractionstomixednumbers.
a)
73
=
b)
83
=
c)
94
=
d)
114
=
©WhiteRoseMaths2019
©WhiteRoseMaths2019
3 Converttheimproperfractionstomixednumbers.
a) 102 = e) 12
5 =
b) 103 = f) 13
6 =
c) 104 = g) 13
7 =
d) 105 = h) 31
8 =
4 Evahas7bottlesofjuice.
Eachbottlecontainshalfalitreofjuice.
HowmanylitresofjuicedoesEvahavealtogether?
Writeyouranswerasamixednumber.
5 Dexterisconvertingimproperfractions.
ExplainwhyDexterisincorrect.
6 Findthevalueof
=
7 Findtwopossiblevaluesforand
= =
= =
323
= 3 23
12 l
12 l
12 l
12 l
12 l
12 l
12 l
27=
2
30=
2
Mixed numbers to improper fractions
1 Convertthemixednumberstoimproperfractions.
a)
b)
c)
2 Convertthemixednumberstoimproperfractions.
Colourthebarmodelstohelpyou.
a)
2
14
=
b)
2
13
=
c)
3
13
=
d)
3 25
=
©WhiteRoseMaths2019
2 34
= 4
2 38
= 8
3 38
= 8
©WhiteRoseMaths2019
3 Convertthemixednumberstoimproperfractions.
Writethenextconversionineachpart.
a) 217= c) 51
2=
227= 51
4=
237= 51
8=
= =
b) 315=
415=
515=
=
Talktoapartneraboutanypatternsyouspot.
4 Hereare4wholepizzasand35
ofapizza.
Howmanychildrencanhave 15
ofapizza?
5 Whitneyisconvertingmixednumberstoimproperfractions.
DoyouagreewithWhitney?
Explainyouranswer.
6
35=
5
Thetableshowssomepossiblevaluesofthecircle.
Usethistofindthecorrespondingvalueofthetriangle.
1
2
4
8
16
88
803
4 17 = 28
7