2d n 3d Shape n Space

8/9/2019 2d n 3d Shape n Space

1/33

9.0 SHAPE AND SPACE9.1 PERIMETER :A diagram drawn by a few equal squares . Find perimeer! in uni ! w"#le diagram.

E$.

Perimeer : % & ' & % & ' ( )) uni

1.

). *.

%. +.

,. '.

-. 9.

'

'

%%


2/33

10. 11.


3/33

9.1.) Find "e perimeer ! in m !w"#le diagram.

E$.

Perimeer : ' & % & ' & % ( )) m

1.

). *.

%. +.

,. '.

-. 9.

' m

% m

' m

, m

, m

) m

- m

9 m

* m

+ m

% m

+ m - m

9 m


4/33

9.1.% Find "e perimeer #f reangle and square f#ll#wing bel#w

/#eng"

m23read"

m2Perimeer m2

E$ + %+&%&+&% #r+ &% ( 9 4 )

1-

1 , +

) * )

* , 1

% ' '

+ ' *

, - %

' 9 9

- 11 1


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9 1) )

10 1% *

9.1.+ A diagram drawn by a few equal squares . 5alulae "e perimeer! in m!

s"aded regi#n .

1. ).

*. %.

+. ,.

4 cm6 cm

3 cm 4 cm

18cm

8 cm


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7/33

+. ,.

9.1.' Find "e perimeer! in m! s"aded regi#n.

1.

6 is a square.

).

6 is a square.

*.

6 is a square.

%.

6 is a square.

10cm

8 cm

3 cm

3 cm

12 cm

3 cm

9 cm

4 cm

Q 4 cm

9 cm

Q

13cm

9 cm

Q

10cm

7 cm

3 cm

7 cm

12cm

Q


8/33

+.

P and 6 is a square.

,.

P and 6 is a squares.

9.1 AREA

9.).1 A diagram drawn by a equal square .Find "e area ! in uni 8 ! w"#le figure.

E$.

Area ( eng" 4 3read"Area ( ' 4 % ( )- uni8

1.

). *.

%. +.

Q

P

3 cm

3 cm 6 cm

4 cm

6 cm

14cm

QP


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,. '.

9.).) Find "e area ! in m8! w"#le diagram.

E$.

Area ( eng" 4 bread"Area ( ' 4 % ( )- m8

1.

). *.

%. +.

' m

% m

' m

+ m

, m

% m

, m

+ m

% m* m

- m


10/33

,. '.

9.).* Find "e area #f reangle and square f#ll#wing bel#w

/# eng" m2 3read" m2 Area m82

E$ + % + 4 % )0

1 , +

) * )

* , 1

% ' '

+ ' *

, - %

' 9 9

- 11 1

+ m

+ m

1) m


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9 1) )

10 1% *

9.).% Find "e area . in m8 ! w"#le figure

1.

6 is a square.

).

6 is a square.

* %.

+.

6 is a square

,.

Q 4 cm

9 cm

Q

12cm

6 cm2 cm

10cm

8 cm

2 cm 2 cm

5cm

10cm

5 cm2 cm

7 cm

Q 5 cm3 cm

12cm

4 cm

7 cm

5 cm

2 cm


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9.).+ 5alulae "e area ! in m 8! s"aded regi#n .

1.

6 is a square.

).

6 is a square.

*.

6 is a square.

%.

6 is a square.

+.

6 is a square wi" sides ) m

,.

P and 6 is a squares wi" sides ) m.

Q5 cm3 cm

Q 5 cm

7 cm

Q5 cm

9 cm

3 cm

Q

8 cm

2 cm

Q

8 cm

5 cmQ

P

6 cm

3 cm


13/33

9.* ;ME F 5;3E< A/= 5;3I=.

9.*.1 Find "e >#lume ! in uni ? ! w"#le figure.

E$.

#lume ( eng" 4 3read" 4 "eig"( ) 4 ) 4 %

( 1, uni?

1.

). *.

%. +.


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,. '.

9.*.) Find "e >#lume ! in m? ! w"#le figure.

E$.

#lume ( eng" 4 3read" 4 @eig" ( % 4 % 4 % ( ,% m?

1.

). *.

%. +.

% m+ m

) m

) m

1% m

, m

* m

) m

+ m' m

* m

% m

- m


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,. '.

9.*.* Find "e >#lume #f ubes and ub#id f#ll#wing bel#w

/#eng"

m23read"

m2@eig"m2

#lumeAnswer

m? 2

E$ + % ) + 4 % 4 ) %0

1 , + 1

) * ) *

* , 1 %

% ' ' '

+ ' * )

, - % *

' 9 9 9

- 11 1 *

9 1) ) %

10 1% * +

11 10 10 10

1) ' + *

1* - , %

1% 9 ' )

1+ 9 - *

, m

+ m

10 m

mm

- m


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1, 10 9 )

9.*.% @#w many ubes P an fill in up # "e ub#id ubes 6B

E$.

#lume P ( ) 4 ) 4 ) ( - m?#lume 6 ( ' 4 % 4 , ( 1,- m?

5ubes P an fill up "e ub#id 6

1,- C - ( )1

1.

). *.

%. +.

PAPER 1 :


17/33

1

)

=iagram 1 drawn wi" a few squares.

=IADRAM 1

"a is "e perimeer ! in uni!s"aded regi#n B

A 1,3 1-5 )0= ))

=iagram ) s"#ws a reangle P and asquare 6 .

=IADRAM )

"a is "e perimeer ! in m! "ew"#le diagram B

A )03 ),5 %0= %-

*.

%.

=iagram * s"#ws a reangle P and asquare 6.

=IADRAM )

"a is "e area ! in m8! #f square6B

A -3 1,5 *)= ,%

=iagram % s"#ws a ub#id P

=IADRAM %

"a is "e >#lume ! in m?! #fub#id P B

A ,03 1-05 *00= ')0

PAPER ) :


18/33

1.

)M

=iagram 1 draws by a few similarsquare.

=IADRAM 1

5alulae "e perimeer! in m! f#r"e w"#le diagram B

*.

*M

=iagram * s"#ws a reangle and asquare #f P wi" * m sides inside.

=IADRAM *

5alulae "earea ! in m8! "es"aded regi#n B

*.

*M

=iagram ) draws a few same si7e #fsquares .

=IADRAM )

5alulae "e perimeer! in m!"es"aded regi#n

%.

*M

=iagram % s"#ws a reangle #f Pand a square #f 6.

=IADRAM %

5alulae "e area! in m8! "e w"#lediagram B

10 DATA HANDLING

10.1 [email protected] =raw a pi#grap" using daa gi>en.

% m

P

10 m

+ m

P

6

1% m

+ m

* m


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E$ample

illages T"e number #f pupils


20/33

).

er 1+


21/33

1. Pi#grap" s"#wn a number #f pupils in si$ lasses

Mawar TanKung


22/33

E$ample

illages T"e number #fpupils

Pin 1)Ran 1,

un )%

M#n *,

H#n )0


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E$ample

O## T"e number #fr##diles

%0 +

)0

N )+

O %+


24/33

1. T"e bar grap"s s"#wn "e number #f pupils fr#m fi>e >illages.

T"e number #f pupils

PP 66 RR illages "as a m#s pupils B

LLLLLLLLLLLLLLLLLLLLLLLLLL

)2 "i" >illages "as a leas pupils B

LLLLLLLLLLLLLLLLLLLLLLLLLLL

*2 T"e number #f pupils fr#m illages PP is equal wi"

illage LLLLL & >illage LLLLL.

%2 "a is #al am#un #f pupils in all >illages B

LLLLLLLLLLLLLLLLLLLLLLLLL

+2 T"e number #f girls fr#m all >illages is '-. @#w many b#ysfr#m all >illages B

LLLLLLLLLLLLLLLLLLL

PAPER 1: =ATA @A/=I/D

%

-

0

1)

1,

)0)%

)-

*)

*,

%0


25/33

1

).

Pi#grap" 1 s"#ws "e number #fpupils year f#ur fr#m a few s"##l.


26/33

).

*.

5 RM%%.00 = RM+0.00

=iagram 1 s"#ws a number ard.

=iagram 1

"a is digi >alue f#r numeral 1J

A 10 000 3 1 0005 100 = 10

=iagram ) s"#ws "e f#ur ards

number.

=IADRAM )

"a is "e rig" #f asending #rder#f "a number B

A *.)' ! *.') ! *.0' ! * .'3 *.' ! *.0' ! *.)' ! *.')5 *.')! *.' ! *.)' ! *.0'= *.0' ! *.)' ! *.' ! *.')

+.

,.

=IADRAM *

"a is "e pr#du P imes 1000 B

A 1 *00

3 ) 1005 ) 900= - )00

"i" #f "e f#ll#wing frai#n is"e bigges >alueB

A 35 =

"i" #f "e f#ll#wing number isrue w"en "e number was r#unding#f # neares "undred is ,+ '00B

A ,+ '903 ,+ ,+%5 ,+ ,%+= ,% '9%

'

-

* Gg +0 g (

A *.+ Gg 3 *.0+ Gg5 *.00+ Gg = +.0* Gg

"i" #f "e f#ll#wing imes bel#w is

"e s"#res B

A ) minues 3 ) "#urs

1%

1+

Gg & 1.% Gg (


27/33

9

10

11

1)

1*

5 ) days = ) deades

*+ 900 ) *9- & 9+ (

A ** *0' 3 ** +9'5 ** ,9- = ** '9*

*% 900 ' -%* (

A )' 0%* 3 )' 0+'5 )' 1%* = )' 1+,

% "#urs 1+ minues C * (

A 1 "#ur + mns 3 1 "#ur 1+ mns

5 1 "#ur )+ mns = 1 "#ur *+ mns

*.0- l 4 % (

e "e answer in e$ended

n#ai#nB

A 1, *%%3 1, 000 & *00 & %%5 10 000 & ,000 & *00 & %%= 10 000 & , 000 & *00 & %0 & %

1+ %.)' (

A 11.)' 3 10.-*5 10.'* = 10.)'

)0. Table 1 s"#ws "e number #f pe#ple>isied an e$"ibii#n in "ree days.

=ay /umber #f pe#pleM#nday 9 ,%'

T"ursday ) 9-%

isied "e e$"ibii#n is *0 000. @#wmany >isi#r did >isied an e$"ibii#n

in ers ,* eggs # s"#p 6. @ef#und #f "e eggs were br#Gen.@#w many unbr#Gen eggs d#es s"#p

6 g# B

A -% 3 *,5 )' = 9

=iagram % s"#ws "e "e pri7e #fw# iems.


28/33

)1

))

3 1' *,95 )) ,*1= %) ,*1

T"ere are 9*- b#ys and --* girls in as"##l. 1)00 #f "em are Malays and"e res are 5"inese and Indians.

"a is a pr#bably number #f 5"ineseand Indians pupils in "e s"##lB

A *00 and *)13 %00 and 1)15 *)1 and *)1= ,)1 and *)1

T"ere are +-0 # ,+0 beads in a

b#le. "a is "e bes esimai#n"e number #f beads in ' b#les B

A % 0003 % 1005 % *00= % %00

)+

RM*9.90 RM-.90

=IADRAM %

alue #f B

A %+ 3 *05 9 = ,

),

)'

Table * s"#ws "e am#un #f m#neysa>ed by "ree pupils.

/ame Am#un #f m#ney sa>ed

in RM1-',.'0

in RM---.%0

Min RM1)%'.90

TA3E *

@#w mu" m#ney did "ey sa>e in allB

A RM%01*.00 3 RM%01).005 RM*91*.00 = RM*91).00

Table % s"#w an in#mplee bill. MrA7i7 b#ug" "e iems #n "e bill.

6uaniy Iem ;niPrie

Prie

)9.

*0

=iagram + s"#ws "e age #f w# girls.

Mina"


29/33

)-

) uni RaGe RM199

* b#$ ed in MelaGa a *.)0 p.m. @#wl#ng was "e K#urney B

A , "#urs 1+ minues3 , "#urs %+ minues

5 ' "#urs 1+ minues= 1) "#urs ++ minues

*1

#n "e b#$ and beame 1.',m all."a is "e leng"! in m! a b#$ B

A 0.*9 3 0.%95 *9 = %9

=iagram , s"#ws a sraig" line.

%.,+ m N O

=IADRAM ,

T"e leng" #f NO is '+ m m#re "anN. "a is "e leng" ! in m! #f O B

A +.%0

3 -.++5 9.0+= 10.0+

*)

**

=iagram ' s"#ws "e mass #f a b#$.

=IADRAM '

"a is "e mass ! in Gg ! a b#$ B

A )+, 3 ),,5 )+,0 = ),,0

=iagram - s"#ws "e mass #f *similar meal balls.

*+.

*,

"i" #f f#ll#wing reangle "as "ebigges perimeer B

A 3

5 =

=iagram 9 s"#ws a few similarreangles.

, m

) m

* m

) m

' m

9 m

, m

+ m

% m

, m

-+0 g

',0 g

10+0 g

0

1

23

4 kg 1

23

4 kg

0


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*%

=IADRAM -

"a is "e mass! in g! ea" mealball B

A -0 3 )%0

5 -00 = )%00

Mrs Nap p#urs +.-l#f ##Ging #il in#% b#les equally. "a is "e >#lume#f ##Ging #il! in ml! ea" b#le B

A 1%+ 3 1%+05 )*)0 = )* )00

=IADRAM 9

Find is area ! in m8! w"#le diagramB

A 1)3 1,5 *)= ,0

*'

*-

=iagram 10 s"#ws a ub#id.

=IADRAM 10

Finds is >#lume! in m?! a ub#id.

A 1,3 %-5 19)= +',

Pi#grap" 1 s"#ws "e number #fb##Gs f#ur b#ys "a>e B

Ali 3aGi 5"an =a>e

represens - b##Gs

PI5TDRAP@ 1

*9

3ar grap" 1 s"#ws "e number #f"iGens Mr =#l s#ld #n f#ur days.

3AR DRAP@ 1

@e s#ld ,*0 "iGens in f#ur days.@#w many "iGen did "e s#ld #nsundayB

A %%03 *,0

5 )90= 190

1) m% m

Monday Wedn

esday

Friday

0

40

80

120

160

day

!m"erof

c#ickens

$!nday

200


31/33


32/33


33/33

)M *M

1'

*M

=iagram 1 s"#ws "e mass #f "e b#$.

=IADRAM 1

T"e b#$ us equally in# ) pars."a is "e mass! in g ! ea" par B

19

*M

=iagram * s"#ws a few equilaeralriangle wi" "e same si7e.

=IADRAM *

"a is "e perimeer! in m! w"#lediagram B

1-

*M

=iagram ) s"#ws a reangle P and asquare 6 wi" sides * m.

=IADRAM )

"a is "e area! in m8! wass"aded B

)0

*M

Alia" prepared 1.% l syrup. #lumes! in ml!se#nd glasses B

P 6- m

1) m

01

23

4 kg 1

23

4 kg0

- m

2d n 3d Shape n Space

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