2d n 3d shape n space
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9.0 SHAPE AND SPACE9.1 PERIMETER :A diagram drawn by a few equal squares . Find perimeer! in uni ! w"#le diagram.
E$.
Perimeer : % & ' & % & ' ( )) uni
1.
). *.
%. +.
,. '.
-. 9.
'
'
%%
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10. 11.
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9.1.) Find "e perimeer ! in m !w"#le diagram.
E$.
Perimeer : ' & % & ' & % ( )) m
1.
). *.
%. +.
,. '.
-. 9.
' m
% m
' m
, m
, m
) m
- m
9 m
* m
+ m
% m
+ m - m
9 m
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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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+. ,.
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
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+.
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
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,. '.
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
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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$.
#lume P ( ) 4 ) 4 ) ( - m?#lume 6 ( ' 4 % 4 , ( 1,- m?
5ubes P an fill up "e ub#id 6
1,- C - ( )1
1.
). *.
%. +.
PAPER 1 :
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1
)
=iagram 1 drawn wi" a few squares.
=IADRAM 1
"a is "e perimeer ! in uni!s"aded regi#n B
A 1,3 1-5 )0= ))
=iagram ) s"#ws a reangle P and asquare 6 .
=IADRAM )
"a is "e perimeer ! in m! "ew"#le diagram B
A )03 ),5 %0= %-
*.
%.
=iagram * s"#ws a reangle P and asquare 6.
=IADRAM )
"a is "e area ! in m8! #f square6B
A -3 1,5 *)= ,%
=iagram % s"#ws a ub#id P
=IADRAM %
"a is "e >#lume ! in m?! #fub#id P B
A ,03 1-05 *00= ')0
PAPER ) :
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1.
)M
=iagram 1 draws by a few similarsquare.
=IADRAM 1
5alulae "e perimeer! in m! f#r"e w"#le diagram B
*.
*M
=iagram * s"#ws a reangle and asquare #f P wi" * m sides inside.
=IADRAM *
5alulae "earea ! in m8! "es"aded regi#n B
*.
*M
=iagram ) draws a few same si7e #fsquares .
=IADRAM )
5alulae "e perimeer! in m!"es"aded regi#n
%.
*M
=iagram % s"#ws a reangle #f Pand a square #f 6.
=IADRAM %
5alulae "e area! in m8! "e w"#lediagram B
10 DATA HANDLING
10.1 PI5TDRAP@10.1.1 =raw a pi#grap" using daa gi>en.
% m
P
10 m
+ m
P
6
1% m
+ m
* m
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E$ample
illages T"e number #f pupils
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).
er 1+
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1. Pi#grap" s"#wn a number #f pupils in si$ lasses
Mawar TanKung
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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 %+
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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
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1
).
Pi#grap" 1 s"#ws "e number #fpupils year f#ur fr#m a few s"##l.
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).
*.
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 (
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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.
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)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"
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)-
) 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
$!nday
200
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)M *M
1'
*M
=iagram 1 s"#ws "e mass #f "e b#$.
=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
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