1 Findtheareasofthetriangles.

a) c)

cm2 cm2

b) d)

cm2 m2

2 Evaisworkingouttheareaofthetriangle.

WhatmistakehasEvamade?

3 Findtheareasoftheparallelograms.

a) b)

cm2 mm2

4 Thetworectangleshavethesamearea.

WorkoutthewidthofrectangleB.

cm

Calculate the areaof triangles, rectanglesandparallelograms

©WhiteRoseMaths2020

The base is 7.8 cm and the length of one side is 6.3 cm. I multiply and

then divide by 2

6cm

5cm

10mm

4mm5mm

12cm

5cm

8cm

4cm

7.8cm

6.3cm

B

8cm

6m

8m

10m

6cm

9cm

A3cm

12cm

8 Arectangleissplitintothreetriangles.

Oneofthetrianglesisshaded.

Whatistheratioofshadedtonon-shadedpartsoftheshape?

:

9 Alogoismadefromfouridenticalright-angledtriangles.

Findtheareaofoneofthetriangles.

©WhiteRoseMaths2020

5 Theareaofthetriangleis26cm2

Whatisitsheight?

h= cm

6 Workouttheareasoftheshapes.

a) b) c)

7 Thesethreeshapesallhavethesamearea.

Findthemissingvalues.

13cm

h

112

m

8cm

12cm

7cm

16cm

21cm

700m

1.1km

12cm

9cm

8cm

8cm

4mm

14

cm

1 AmirandRosieareworkingouttheareaofthistrapezium.

a) UseAmir’smethodtofindtheareaofthetrapezium.

cm2

b) UseRosie’smethodtofindtheareaofthetrapezium.

cm2

Whosemethoddoyouprefer?

2 Findtheareaofeachtrapezium.

a)

cm2

b)

m2

c)

cm2

d)

mm2

Calculate the areaofa trapezium

©WhiteRoseMaths2020

I will divide the shape into a rectangle

and triangle, and work out the area of each one.

I will just use the formula for the area of a trapezium.

Amir

Rosie

8cm

5cm

4cm

6cm

4cm

5cm

4m

1m

4m

8cm

7cm

6cm

3.5mm

12.4mm

6mm

5 Theareaofeachtrapeziumis20cm2

Findandlabelthemissinglengths.

a) b)

6 Theareaofthetrapeziumis24cm2

Writethreepossiblepairsofvaluesofxandy.

x= cm y= cm

x= cm y= cm

x= cm y= cm

7 Provethestatement.

Theformulaforatrapeziumisequaltotheareaof

aparallelogramwhenthelengthsofaandbareequal.

©WhiteRoseMaths2020

3 Workouttheareaofeachtrapezium.

a)

b)

c) Discusswithapartnerwhatmistakescouldbemadewhenworkingout

theareasinpartsa)andb).

4 Explainwhythesetrapeziumsallhavethesamearea.

8cm 9cm 6.8cm

4cm 3cm 5.2cm

6cm

5cm

5cm 11.5cm

8.5cm

y

x

6cm

b

a

h

7cm

10cm

5cm4cm

7m

2m

120cm

1 Workouttheunknownlengthsandthenfindtheperimeterof

eachshape.

a)

perimeter= cm

b)

perimeter= cm

2 Workouttheareaofeachshape.

a)

area= m2

b)

area= cm2

3

IsMocorrect?

Explainyouranswer.

4 SomestickershavetheletterHonthem.

WhatistheareaoftheletterH?

mm2

Calculate the perimeter andarea of compound shapes (1)

©WhiteRoseMaths2020

You can’t work out the perimeter of this shape

as you don’t know the lengths of all the sides.

7cm

3cm

4cm

5cm

7m

3m

4m

9m

7cm 7cm

25cm

4cm

10cm

2.2cm

6.1cm

7.3cm

1.7cm

5mm 5mm

18mm

14mm

6mm

3cm

10cm

2cm

6cm

4cm

5 Findtheareaofeachcompoundshape.

a)

cm2

b)

cm2

c)

m2

d)

cm2

6 Danimakesapictureofatree.

Thetreeismadeupofagreentriangle,

twocongruentgreentrapeziums

andabrownsquare.

Findtheareaofthegreenpartofthetree.

cm2

7 Whatfractionoftheshapeisshaded?

8 Whichhexagonhasthegreatestarea?

©WhiteRoseMaths2020

6m

11m

8m

5m

8cm

8cm

5cm

1.4cm

1.8cm

2.3cm 1.9cm

7cm

4cm

6cm

12cm

11cm7cm

4cm

10mm

12mm

18mm

4cm

5cm 3cm

3cm

4cm 5cm

3cm2cm

Understand π as a ratio

1

a) What is the length of the square?

b) What is the perimeter of the square?

c) What is the ratio of length : perimeter of the square? :

d) Will this ratio always be the same? Talk about it with a partner.

e) Will the ratio be the same for any other shapes? Why?

2 What is the diameter of each of these circles?

a) c)

diameter = diameter =

b) d)

diameter = diameter =

3

What is the diameter of the circle?

diameter =

How do you know? Talk about it with a partner.

© White Rose Maths 2019

6 cm

10 cm

12 cm

7 cm

6 cm

7.5 cm

2 mm

10 cm 2 mm

4 Write the ratio of diameter : circumference for each circle in the form 1 : n

a)

10 cm : 31.4 cm = 1 :

b)

20 cm : 62.8 cm = :

c)

: = :

d)

: = :

e) What do you notice about your answers?

f) Complete the sentence.

For any circle, the ratio of diameter : circumference can be written as

1 : , or more accurately 1 :

© White Rose Maths 2019

31.4 cm

10 cm

62

.8 cm

6.28

mm

2 mm

12.5

6 mm

2 mm

10 cm

5 Complete this representation.

The circumference of a circle is equal to

C =

6 Calculate the circumference of the circles.

a) c)

C = C =

b) d)

C = C =

12 cm

12 cm � mm

8 cm

4 cm

diameter : circumference

1 : π

×

×

d :