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