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Area and perimeter
1 Usethewordstocompletethesentences.
area around
cm2perimeter cm m
m2 inside
istheamountofspace a
two-dimensionalshape.Itcanbemeasuredinunitssuchas
or
isthedistance atwo-dimensional
shape.Itcanbemeasuredinunitssuchas or
2 Workouttheareasandperimetersoftheshapes.
a) b) 6cm
4cm
perimeter= cm perimeter= cm
area= cm2 area= cm2
3 Workoutthemissingvalues.
a)
8cm
cm
area=32cm2
perimeter= cm
b)
8cm
cm
area= cm2
perimeter=40cm
c)
area= m2
perimeter=36mm
4 Workouttheareasandperimetersoftheshapes.
ShapeA ShapeB
area= cm2 area= cm2
perimeter= cm perimeter= cm
Whatdoyounotice?
©WhiteRoseMaths2019
6cm
4cm
2cm
2cm
5
Whodoyouagreewith?
Drawsomeexamplestosupportyouranswer.
©WhiteRoseMaths2019
6 Tworectilinearshapes,AandB,eachhaveanareaof12squares.
• ShapeAhasthelargestperimeterpossible.
• ShapeBhasthesmallestperimeterpossible.
DrawshapesAandB.
Whatdoyounotice?
7 MrJoneshas50moffencing.
Hewantstomakearectilinearenclosureusingallthefencing.
a) Drawanexampleofashapehecouldmake.Giveunitson
yourdiagram.
b) Whatisthegreatestpossibleareaoftheenclosure?
c) Whatisthesmallestpossibleareaoftheenclosure?
If you start with a rectilinear shape, when you increase
the area, the perimeter will increase.
TommyIt depends on
the shape.
Amir
1cm
1cm
1cm
1cm
Area and perimeter
1 Usethewordstocompletethesentences.
area around
cm2perimeter cm m
m2 inside
istheamountofspace a
two-dimensionalshape.Itcanbemeasuredinunitssuchas
or
isthedistance atwo-dimensional
shape.Itcanbemeasuredinunitssuchas or
2 Workouttheareasandperimetersoftheshapes.
a) b) 6cm
4cm
perimeter= cm perimeter= cm
area= cm2 area= cm2
3 Workoutthemissingvalues.
a)
8cm
cm
area=32cm2
perimeter= cm
b)
8cm
cm
area= cm2
perimeter=40cm
c)
area= m2
perimeter=36mm
4 Workouttheareasandperimetersoftheshapes.
ShapeA ShapeB
area= cm2 area= cm2
perimeter= cm perimeter= cm
Whatdoyounotice?
©WhiteRoseMaths2019
6cm
4cm
2cm
2cm
5
Whodoyouagreewith?
Drawsomeexamplestosupportyouranswer.
©WhiteRoseMaths2019
6 Tworectilinearshapes,AandB,eachhaveanareaof12squares.
• ShapeAhasthelargestperimeterpossible.
• ShapeBhasthesmallestperimeterpossible.
DrawshapesAandB.
Whatdoyounotice?
7 MrJoneshas50moffencing.
Hewantstomakearectilinearenclosureusingallthefencing.
a) Drawanexampleofashapehecouldmake.Giveunitson
yourdiagram.
b) Whatisthegreatestpossibleareaoftheenclosure?
c) Whatisthesmallestpossibleareaoftheenclosure?
If you start with a rectilinear shape, when you increase
the area, the perimeter will increase.
TommyIt depends on
the shape.
Amir
1cm
1cm
1cm
1cm
Area of a triangle (3)
1 Calculatetheareaofthetriangle.
area= cm23cm
6cm
2 Calculatetheareaofthetriangles.
a) c)
6cm
5cm
area= cm2 area= cm2
b) d)
7cm10cm
area= cm2 area= cm2
3 WhatmistakehasDoramade?
4cm
7cm
6cm
4 Labelthebaseofeachtriangleb.
Labeltheperpendicularheighth.
5 Arethestatementsalways,sometimesornevertrue?
The side at the bottom of a triangle is the base.
The perpendicular height is equal to the vertical height.
_____________________________________________________________
©WhiteRoseMaths2019
To find the area you do 7 × 6 ÷ 2 = 21 cm2
7cm
4cm
6cm
6cm
5cm
3cm
9cm
6cm
6cm
10cm
7cm
14cm6cm
5cm
10cm7cm
6 Calculatetheareaofthetriangles.
a) d)
5cm
8cm
6m
4m
10m
area= cm2 area= m2
b) e)
6cm
5cm
5m
6m3m
area= cm2 area= m2
c) f)
10mm
7mm
8cm
8cm
7cm
9cm
area= mm2 area= cm2
©WhiteRoseMaths2019
7 Findtheareaoftheshadedregion.
area= cm2
10cm
10cm
8 Theareaofeachtriangleis12cm2.Findthemissinglengths.
a) b)
x
8cm y
1cm
x= cm y= cm
9 Showtwowaysyoucanworkouttheareaofthetriangle.
9cm
4cm
6cm
6cm
Compareanswerswithapartner.
Area of a triangle (3)
1 Calculatetheareaofthetriangle.
area= cm23cm
6cm
2 Calculatetheareaofthetriangles.
a) c)
6cm
5cm
area= cm2 area= cm2
b) d)
7cm10cm
area= cm2 area= cm2
3 WhatmistakehasDoramade?
4cm
7cm
6cm
4 Labelthebaseofeachtriangleb.
Labeltheperpendicularheighth.
5 Arethestatementsalways,sometimesornevertrue?
The side at the bottom of a triangle is the base.
The perpendicular height is equal to the vertical height.
_____________________________________________________________
©WhiteRoseMaths2019
To find the area you do 7 × 6 ÷ 2 = 21 cm2
7cm
4cm
6cm
6cm
5cm
3cm
9cm
6cm
6cm
10cm
7cm
14cm6cm
5cm
10cm7cm
6 Calculatetheareaofthetriangles.
a) d)
5cm
8cm
6m
4m
10m
area= cm2 area= m2
b) e)
6cm
5cm
5m
6m3m
area= cm2 area= m2
c) f)
10mm
7mm
8cm
8cm
7cm
9cm
area= mm2 area= cm2
©WhiteRoseMaths2019
7 Findtheareaoftheshadedregion.
area= cm2
10cm
10cm
8 Theareaofeachtriangleis12cm2.Findthemissinglengths.
a) b)
x
8cm y
1cm
x= cm y= cm
9 Showtwowaysyoucanworkouttheareaofthetriangle.
9cm
4cm
6cm
6cm
Compareanswerswithapartner.
Area of a parallelogram
1 Onapieceofsquaredpaper,copythisparallelogram
andcutitout.
a) Createarectanglebycuttingofftheright-angledtriangleand
movingit.
b) Completethesentences.
Theareaoftherectangleis squares.
Theareaoftheparallelogramis squares.
2 Calculatetheareasoftheparallelograms.
a) b)
area= cm2 area= cm2
3 Huanisfindingtheareaoftheparallelogram.
10 × 8 = 80 cm28cm 6cm
10cm
a) WhatmistakehasHuanmade?
b) Whatisthecorrectanswer?
area= cm2
4 Estherhaslabelledthebasesandheightsforfourparallelograms.
Threearecorrect;oneisincorrect.Ticktheshapesthathavebeen
correctlylabelled.
h hh
h
b bb
b
Explaintoapartnerwhyoneisincorrect.
©WhiteRoseMaths2019
1cm
1cm
1cm
1cm
5 Calculatetheareasoftheparallelograms.
a) d)
4cm
5cm
5m
6m
area= cm2 area= m2
b) e)
5cm
2cm
3m4m
6m
area= cm2 area= m2
c) f)
10mm9mm
8cm
5cm
7cm
area= mm2 area= cm2
©WhiteRoseMaths2019
6 Findthemissinglengths.
a) b)
5cm
cm
400cm
cm
area=15cm2 area=12m2
7 Hereisarhombusinsidearectangle.
4.8cm
5cm
6cm
8cm
a) Calculatetheareaoftherhombus.
area= cm2
b)
ExplaintoapartnerwhyMoiswrong.
The area of the rhombus is half the area of the rectangle. This
means that it is a special triangle.
Area of a parallelogram
1 Onapieceofsquaredpaper,copythisparallelogram
andcutitout.
a) Createarectanglebycuttingofftheright-angledtriangleand
movingit.
b) Completethesentences.
Theareaoftherectangleis squares.
Theareaoftheparallelogramis squares.
2 Calculatetheareasoftheparallelograms.
a) b)
area= cm2 area= cm2
3 Huanisfindingtheareaoftheparallelogram.
10 × 8 = 80 cm28cm 6cm
10cm
a) WhatmistakehasHuanmade?
b) Whatisthecorrectanswer?
area= cm2
4 Estherhaslabelledthebasesandheightsforfourparallelograms.
Threearecorrect;oneisincorrect.Ticktheshapesthathavebeen
correctlylabelled.
h hh
h
b bb
b
Explaintoapartnerwhyoneisincorrect.
©WhiteRoseMaths2019
1cm
1cm
1cm
1cm
5 Calculatetheareasoftheparallelograms.
a) d)
4cm
5cm
5m
6m
area= cm2 area= m2
b) e)
5cm
2cm
3m4m
6m
area= cm2 area= m2
c) f)
10mm9mm
8cm
5cm
7cm
area= mm2 area= cm2
©WhiteRoseMaths2019
6 Findthemissinglengths.
a) b)
5cm
cm
400cm
cm
area=15cm2 area=12m2
7 Hereisarhombusinsidearectangle.
4.8cm
5cm
6cm
8cm
a) Calculatetheareaoftherhombus.
area= cm2
b)
ExplaintoapartnerwhyMoiswrong.
The area of the rhombus is half the area of the rectangle. This
means that it is a special triangle.
Volume of a cuboid
1 Hereisacuboidmadeupofcubes.
a) Whatisthevolumeofthecuboid?
volume= cm3
b) Explainyourmethodforfindingthevolume.
c) Whatisthevolumeofthiscuboid?
volume= cm3
d) Whatisthesameandwhatisdifferentaboutthecuboids?
2 Findthevolumeofthecuboids.
Youcanmakethemwithcubesifithelps.
a)
volume= cm3
b)
volume= cm3
3 Calculatethevolumesofthecuboids.
a) b)
volume= cm3 volume= cm3
©WhiteRoseMaths2019
1cm 1cm1cm
1cm 1cm1cm
1cm 1cm1cm
3cm
3cm 3cm
1cm 1cm1cm
8cm
6cm4cm
6cm
10cm
5cm
4 Calculatethevolumesofthecubes.
a) b)
volume= cm3 volume= mm3
5 Thevolumeofthecuboidis60m3
Findthemissinglength.
6 Calculatethevolumeofthecuboid.
volume= cm3
7 a)Calculatethevolumesofthetwocuboids.
cm3 cm3
Whatdoyounotice?©WhiteRoseMaths2019
b) Drawtwodifferentcuboidsthathaveavolumeof24cm3
8 Calculatethetotalvolumeoftheshape.
8cm
5cm
2cm
2cm
6cm
volume= cm3
Wasthereanothermethodyoucouldhaveused?
5cm
7mm
3m
5m
m
30cm1m
12 m
4cm
4cm
2cm
2cm
2cm
8cm
Volume of a cuboid
1 Hereisacuboidmadeupofcubes.
a) Whatisthevolumeofthecuboid?
volume= cm3
b) Explainyourmethodforfindingthevolume.
c) Whatisthevolumeofthiscuboid?
volume= cm3
d) Whatisthesameandwhatisdifferentaboutthecuboids?
2 Findthevolumeofthecuboids.
Youcanmakethemwithcubesifithelps.
a)
volume= cm3
b)
volume= cm3
3 Calculatethevolumesofthecuboids.
a) b)
volume= cm3 volume= cm3
©WhiteRoseMaths2019
1cm 1cm1cm
1cm 1cm1cm
1cm 1cm1cm
3cm
3cm 3cm
1cm 1cm1cm
8cm
6cm4cm
6cm
10cm
5cm
4 Calculatethevolumesofthecubes.
a) b)
volume= cm3 volume= mm3
5 Thevolumeofthecuboidis60m3
Findthemissinglength.
6 Calculatethevolumeofthecuboid.
volume= cm3
7 a)Calculatethevolumesofthetwocuboids.
cm3 cm3
Whatdoyounotice?©WhiteRoseMaths2019
b) Drawtwodifferentcuboidsthathaveavolumeof24cm3
8 Calculatethetotalvolumeoftheshape.
8cm
5cm
2cm
2cm
6cm
volume= cm3
Wasthereanothermethodyoucouldhaveused?
5cm
7mm
3m
5m
m
30cm1m
12 m
4cm
4cm
2cm
2cm
2cm
8cm
White Rose MathsHome Learning Video Links
Year 6
Summer Term Week 9 (w/c 22nd June)
Lesson 1
Area and perimeter https://vimeo.com/430339457
Lesson 2
Area of triangles https://vimeo.com/430339609
Lesson 3
Area of parallelograms https://vimeo.com/430339748
Lesson 4
Volume of cuboids https://vimeo.com/430339843