رياضيات سادس ابتدائ grade-6 math
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VjdG
FGHG SOdG d
dCJ
UdG Y Y MCG . O ``LQ T QW . OSe M ````````Y M S`Y e
/ 3
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``MSY
``e:dGY
dG
G
OdG
YSGa:dGYdG
G
Sb MGdGY S : dG G
OdGYSGa:dG
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3
...
...
. -
:-
. -
.-
. -
. -
.- :
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4
*.*.
*........ ......
. ..
:
. ) . (
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YG
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6
YG
ATG e g YG
) (
{{
AfG (1 - 1)
.
={}
" T NGO cG S Sb NGO Hc h{ }YG
{ , Q , , , CG }
G j CGJG j CGJ
1 f
{ , Q , , , CG}S
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7
dG YG (2 - 1)
dN Y
/ G
.{ }= =
)3.
. (
. ( . 333 )
UdG e dN G
Y dG YG g dG YG{ }dH J hCGedHd ejh Y CG
a CGJ
1 f
e
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8
1 f
e
YG hJ (3 - 1) =
} }= S = U hCG U = S
{}= =
{}= / G= =
{}= : = )
.{}= = ) =.
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9
FG YG (4 - 1) = =
{} = ={ }
YG SGbG NGO YG Hc hS
"H H bCS
FG YG eQ
U YG G j S YG UY e Y c c GPG
US Jh U YG e FL Y S G f
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10
= = / G
{}= {3 }= = {} =
{3 } {3}
{} {} { }
:
FL d eQ
YgYcCGCG f e FL
1 f
Y G jY Y d jedG
iNG Y e FL Y Y d jedG H
e
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YG WJ (5 - 1):
{={
={}
={}
( . (
/ G } }= )
(1) e
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13
={} ={}{}
={}={}{}
={}
33
. ) ) / G
{ }= ( {3 }=
{ }= {3 }{}=
{}= ( WJ K Y WJ NCf Y K WJ Oj
ddG YG e dG
{}{}= ) = (
{}=
SU = US
(2) e
K jd cd GPeY
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( ( = {}{3 }=
{}={}{}= ()
{}=
YG OG (6 - 1)
: {}
{}{}
( U)S = (US)
14
3
3
dG G hjdG H
dH h
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15
CG = CG
= 3 = { }= / G
{ 3}= { 3}{ }=
{ 3 }={ }{ 3}=
{ 3}= :
{3 }= {} = {3 } =
dGOG K Y OG Y K OG Oj
ddG YG e
{3 }{3 }= =() {3 }=
{3 }{}= ()= {3 }=
(2) e
33
(1) e
( U ) S = (US )
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16
(2 - 1) jQ
{3 }= ={} ):
. = ( . ( . {3 }= ( . {}= (
. {}{}= ( . ( . = ( . = )
= {}{} ( : } }= { }= )
. = ( ( ( . = ( ( (
{}= ={} {}= (3.
. ) . ( . ( . ) ( ( . ( ( (
): 3 ( ( ( ( (
16
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3 _ 441
25
3
216
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19
: = ( = (
= 3 ( = ( bQ e eQ e OY Y dG (kfK
( 3
33 = 3 3(
: = ( = (
= 3 3 ( = (
1 f
33 (8) 3Y 24b hf
7e 8e jb bQ NCfh
dG U e
2 f
33 3
3
3= 3 3
3 33
3
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bQCG KK e eQ e OY Y dG ( kdK )
= = = +
) 3 3
3
= 3
= = + 3= + 3 :
= 3 ( = ( = ( = (
3 33
3 f
33 3
20
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21
(1 - 2) jQ
21
: ) = 3 ( = (
= 33 ( = ( = 3 ( = (
= 3( = 3 ( = 3 ( = 3 (
= 3( = ( )3
(3 3
)3 (
3
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22
dG QhGh HdG QhG (2-2)
HdG QGh OdG He ( khCG
= = = =
= = = =
: = = 3= =
33 =
=
fOdG V UM g OdG He
3 3 33
3 3
3 3 333 3 3 3 3
3 3
HdG QG eQ
dG jW SG S
dhG eGdG G
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24
( 2 - 2) jQ
24
: )
) 3 3)
)
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dG QGh OdG e ( kfK
== = = 3= =
= 33 = 3 3 3 = 3 = 3= =
: )
( 3 3 3) ( ) = )
( 3 = 3
=
3SCG 2hCG 2OdG e CGJh
1 f
3
3
3dG QG eQ
3 3 3 3
3
25
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: G
( 3 3 3) ( ) ( )= = 3 =
33 3
3
1728= 312
2 f
3 f
(1) e
3 3 3 3 3
3
3
(3 - 2) jQ
: 33))3
(33
3
G = dG W
26
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28
YHdG TG (1-3)G
HG
ah VG RGe
*
= =
.dH jhe He V c .. jRGe He V c .
. FGb HQG jGhR ..jheh Ue Gb .
.dH jhe YVG L .. jRGe He V c .
. FGb HQG jGhR .
.jheh Ue Gb ..Gee Gb .
. dH jhe He V c .
. jRGe He V c .
. Ue Gb ..SdH jhe He jhGR c . Y de jhGR c .
jhe jGhR L g
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29
1 f
=
= *
+ = + +
= +
( ( = +
( ( = +
: :
( O `L , CG ) jRGe e ( `L ) e b GPG
. NGO jGhR e qj fCa
dG GH bCS
NBG H b hMCS
r180Y VG RGe de jhGR c
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30
=
= =
qG
:
=
= - =
=
jhe YVG LjRGe He V c
.FGb d HQG jGhR
? VG RGe g G g
2f
: VG RGe jRGeh jhe He V c
SdH jhe He jhGR c
r180Y de jhGR c
3f
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31
G T
= +
= +
= = +
= + =3 - = =
G T JYb jh jRGe a He V a YHQ T
Z jNBG HG dG GG T bS jh jRGe
.VG RGe j a
(1) e
[
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32
YHdG TG SQ (2-3) VG RGe SQ
= = 3 = :
( ) 3
) ( 3 3.
= = = 3
1 f
3
3
3 3 3
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YHdG TG ( 3 - 3 )
VG RGe ( khCG
=
2jQhe V W = VG RGe a
= = : G =
= = ( + ) =
G ( kfK =
4dG W = G
34
(1) e
1f
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35
= = =
G T (
kdK
HQG YVG GWG = G T
: G
= 3 + + 3+ =
=
(2) e
2f
(3) e
3
3
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IXG jGhdG (4-3)
.
3
{}
? IXe iNCG jGhR LJ g
LQN iNGh NGO gGMG jhGR g JXG jhGdG
.JQhe Zh WdG e IMGh L Yh
37
3
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38
= 3 + = + 3
=
:-
dOG jGhdG (5-3)
3
IXG jGhdG hJ GPG G iRGj
1 f
3
d f qG G RGJ Y IXG jGhdG ihJ
3
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39
= 3 + = + 3 =
CG
YHdG dG jGhR
=
3= = =
Yh JQhe Z NGO jhGR g dOG jhGdG
WdG e L
d fG G RGJ Y dOG jhGdG ihJ
1 f
r360= YHdG d NGdG jGhdG
3
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40
(2 - 3) jQ
( = =
= (=
= =(3 = (
: = 3
. )
= 3 =
40
3
3
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Q
jQ
j Q
H
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42
QdGjOYG QdG(1-4)
=
(= ) ( = 3 )
( 3 ) ) ) .
= = =
= =
=
=
3 3
3
1 f
33
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dHh c OY G OYG dG j(2-4)
:- = + = + =
= =
= + = (
= 3
= ( = ( = ( :
+ =
= = + =
1 f
33
3
3
3
+3
3
3
3
3
51
153
=
84
C QfdG J 8hH 4```````Y
. mH
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= = =
: = = + = + = (
= = = ( ( (
jOYG QdG Y Y ( 3 - 4 )
jOYG QdG Wh L ( 1
: = = + (
= = = - (
dG + dG OdGG V
G
3
+ 33
+3
3
2 f
+ + +
+
33-jhe eG
(1) e
46
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47
= - = - + ( ) ( ) (
:
- +
- +
- = - +
- =
= = =
: + (
: G
3= 3+
= = + =
3
3
3
+ + 3+ + - 3
(2) e
33
33 +3
jhe Z eG
3 3
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48
- ( : G
= 3 -
3= = - =
- + ( : G= . .
- +
- + =
(- 3 + ) + - =
= =
3
-
3
3
333
- 3
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49
- + (
: G
. . = 3 3 - +
- + =
- =
= -
.
3
3
3
3
3
3
3 3 3 33 3
3
3
= 172
72
j ddG QdG e c G aVG Y dG dG e
kU kGMGh dG
, , , , ,
1
2
3
4
3
5
5
6
9
16
3
10
`qa
-
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50
( 1 - 4) jQ
3
3 3
3
3
50
3333
333 3
: ) + ( + (
+ ( + ( - ( - (
- + ( - + ( )
(3
)
)
)
-
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( 2 - 4) jQ
53
33
3
3 3
33
: ) ( 3 (
) ( ) (
) 3 ( . )
. (3 )
. 3 (3 .
3
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55
c G dG OdG jH f c OY Y c OY b Yh
khCG OYG
(
= = =
)
= = =
- / G
( ) - ( )
( ) - ( )
-
= = = -
3
3
33=
3
3
3 3
3
3
3 - 3
(1) e
5 , 3jOd . CG . . g 15
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56
( ) + ( ) ( ) + ( ) / G
( ) + ( ) =
+ =
= = = + =
(( 3 3 / G
3 3
= = 3
33
333 333
+ 3
3
3 +
(2) e
3
(3) e
3
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58
jdG QdG (4 - 4)
3 3 3 0^300= 0^30= 0^3G cJ
3 3
= = = = = = 3
3
1 f
dG Y QUGdG b e qJ
cJ
(1) e
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59
jY Qc G jOYG QdG j (5 -4 )
: G = = (
= =
: G
3 = ==
=
: G
3 + = ( 3= 3 + =
( (
3
3
1 f
2 f
3
0^2= 15
- -3
G dG f
10ee c
15
(1) e
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33 3
33 3
hJh IY e AGLG hJh dG OGYG hJ Y
dCG e AGLG H Qf e e AGLG
33
3
(3) e
(4) e
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62
( 3 ( 33 3 ( (
jdG OGYGh QdG jJ (7 -4 )U OY bCG : khCG
3 3 {3 { 3
IMGh jY J jdG : kfK
OLG bdG jH f U OY b C jdG Y
b bG G dG OdG Je
3
bdG jH f IMGh jY J jdG Y
. b bCG G ( ooY ) IY e AL Je OLG
1 f
cJ
(1) e
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63
33 3 3
{} 3 3jY J jdG : kdK
3 3 3 3
) 3
) 3
( 3 3
bdG jH f jY J jdG Y
. b bCG G e e AL Je OLG
3 33
1 f
(2) e
(3) e
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65
3 - ( = 3 -
3 = - 3 ( -
3 - ( 3- =
3 - - 3 - 3 -
3
jdG JGG hJ nJ
3
jdG IRQdG nJ
-
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66
( 4 - 4) jQ
66
: ) - 3 ( 3 + ( - 3 ( + ( 3 - + 3 ( 3 + (
:3 )
(333 3 .
)3
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jdG OGYGh QdG V (2 - 8 - 4 )
U OY Y OY hG c V (khCG
3 3 ( 3
) JYeh 1000 , 100 , 10 dG ( kfK
JYeh 10 dG (
=
3
cJ
3
67
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68
=
3 ( 3= 3 = 3
= ( 3
( = (
3=
Je jdG IRQdG jH f 10 Y c V Y
dG H IMGh
= =
3=
= 3=
3=
3
10 f K IRQdG af
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69
1 f= = = 33 =
JYeh 100 dG
( =
3 = 3 ( = ( 3
3 (
100 f K IRQdG af
jdG IRQdG jH f 100 jdG QdG V Y
dG G Je
3
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70
= 3
= = = 33 =
JYeh 1000 dG ) =
1 f
3 = 3 3 ==
3 = 3 ==
1000 f K IRQdG af
JGe K jdG IRQdG jH f 1000 jdG QdG V Y
dG G
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( 5 -4) jQ
72
: ) (
= 3 = 3= = = =
) ( = = = = = =
) ( = 3 = = 33 = 3
= =
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73
Y OY hG c Y OY hG c V ( kdK
G ( 3=
3} }(
3 ) 3 = } }
: = 3 (
= 3 (
3 3
1 f
(1) e
(2) e
-
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( 6 - 4) jQ
: ) 33 3 3
: ) ) ( ( (
3+ ( 3 ( (3
. ) )
) 3
74
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76
JYeh1000 , 100 , 10Y dG(kfK
JYeh 10Y dG
3 )
3 33 = 3
) =
= ( 3= 3 ( = (
333
jH f 10 Y Y OY hG Y c b Y
QdG G IMGh jY Je IRQdG
3
-
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77
)
=
= = = 3 = 3
JYeh 100Y dG )
=
3 ) 3 = 33
1 f
=
==
=
==
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78
= ( 3
= (
= ( 3 3 )
= 3 3
= 3 = = =
IRQdG jH f 100 Y Y OY hG Y c b Y
QdG G jY Je
1 f
0
3 3 = 3 3
3 3 ==
3 3 = 3 3 ==
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79
JYeh 1000Y dG 3 )
3 33 = 3
= )
= ( 3
= ( = (
33
3
K IRQdG jH f 1000Y ( Y OY hCG ) Y c b Y
QdG G jY JGe
0
-
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80
3 )
= 3
= 3 = = =
1 f
3= 3
3== 3 = 3
==
-
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( 7 - 4) jQ
81
: ( (
3 3 3
( ( 3 3
( ) 3
-
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82
Y OY hG c Y U OY b (kdK
G
{}
=
3=
U OY G 0^2Y G j G khG f
OY G Y G j nJU
3 1 f
(1) e
(2) e
-
-
=
3=
-
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83
Y c Y Y c b ( kkHGQ
G
=
=
= 3 ( = ( = 3 3 (3= (
1 f
(1) e
(2) e
=
=
-
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84
( 8 - 4) jQ
84
: : ( 3( ( (
( ( :
: 3 3
: :3
-
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3
3
jdG QdGh OGYG jJ ( ( 4 - 9 3 = 3 = = =
= 3
) . )
) . )
0^33G fG dG fh0^3
0^333G f0^33G dG fh
1000hCG 100hCG 10G G j jdG dG SG G fh
3
3
3
3333
-
-
-
-
85
-
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86
+ =
+ = =
= =
=
) )
JGe K G 9 Y 2 fjY
+
1 f
(1) e
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87
3 = 3
3
3 = 3 3
(2) e
(3) e
3
-
-
-
-
33 3
-
-
-
-
-
HQG G dG AGLG G fjY JGe
-
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88
( 9 - 4) jQ
33 3
: )( 3( ( )3 ( (
) ) : )
(3 3 3 33 3 3
)3
3(
)
88
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S
-
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90
SdGh dGdG( 1 - 5 )
) ) . :
= -
= =
: 3 = -
3 = =
3 :
3
3
SdG IMh f d c H fQe dG
12 Hc
2 : 1H
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91
3 : G
= = =
: G
= = =
=
= =
= : G = : = = = =
33
3
3
33
3
3
3
3
c fQeYfG khGcCdGj
IMdG f e
(1) e
(2) e
(3) e
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92
3 3
: G
= =
3= 3- 3
= =
: : 3 ( : ( : ( = : ( : G
= = : )= = (
33
33
33 33
d dGIMh d
(4) e
(5) e
=
=
-
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) ):
.
95
-
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= = / G
=
. = = / G
=
= / G
=
=
.
(3) e
(4) e
(5) e
3
3
98
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100
SdG Se ( 3 - 5 )
*
. .
*. . .
.
.
: .
= = =
S 100= 1
G dG G SdG dG H dG g : SdG Se
-
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. 3
/ G
=
3 = = 3
3
3 3
GMdG jG cG eof UG
(3) e
102
-
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103
(3 - 5) jQ
) ( ( : )
(3 )
. (
( ( :
3
103
-
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-
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105
= = + = 3 =
= = =
= = =
3 . = / G
= + 3 = =
= =
= =
=
3
3
3
33
3
(2) e
-
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-
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S
IF
-
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-
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109
.
dW H Qbh IFGO c dG fh dG e c W Sb hM
f
IFGd b f , CG e c G nJ
IFGdG( S ) dG f( S ) dG
3
dG f W V g dG W IFGO G a
2dG f = dG
2_ dG = dG f
-
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110
: = = ( = = ( = = =3 ) = (
? IFGdG b CG G g
. IFGdG Jh j CG
IFGdG SQ ( 2 - 6 )
)
( .
1 f
cH G hO IFGdG Y f H J dG G b g JdG
LdG SHIFGdG SQ j
-
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112
3 3
3 =
=
dG = IFGdG
( ( ( 3
3
333
edH d ejh HdG dG 3^14J
> CGJ
-
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113
= / G
== =
= / G
= = = 3= =
(1) e
(2) e
= N
kjG 3^14=
-
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( 1 - 6) jQ
114
3
: )
) ) . )
: ( 3. )
. ). )
)3 3
)
(
-
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IFGdG Me ( 4 - 6 )
.
)
)
= = = = =
=
g jH bCS fCG fH AGLG
( (
115
-
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116
:
: G
= = =
=( 3= (
: G
= = = =3 =
3 = =
ff = IFGdG Me
(1) e
(2) e
-
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117
3 .
: G
. :
= =
3 3 3 =3 =
= = 3
(3) e
HGbQdGMe khCGIFGdG Me K
1 f
-
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1 - 1 ) jQ
: )
( = 3 ( = ) = ( 3(
. ( = (
( 3.
( 2 - 6) jQ
3
118
-
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) .
).
. ) ( .
)
119
33
-
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(
.
(3 :
120
-
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H
-
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122
G
( ( ) (
.
cJ
ch e CG YG T c
e T YG T
( (
( (
-
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123
G ( 1 - 7 )
dG gGf G LhCG KK
LhG VG GWGkjG jhe G
4MGh Lh Me = d fG MG G G
6MGh Lh Me = d dG MG
-
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124
.
= = =
= = = = =
3=
= 3=
OjG hG hS
MGh S Me
(2) e
(1) e
: G
: G
-
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125
G T ( 2 - 7 ).
.
.
. .
.
LhCG GPeG T
-
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126
( (
.
. 3
) 3= 3 + )
. = 3 ( + ( =
= = == = + =
= + =
3
3
JYdG Me + fG MG = dG RG dG MG
JQG IYdG = fG MG
-
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127
.
=
( + = ( ( + ) = = =
+ = ( ) + =+ 3= =
(1) e
-
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( ) (
: ( ( (
(33
3 .
. (.
(.
.
( 1 - 7) jQ
128
-
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G ( 3 - 7 )G M ( 1 - 3 - 7 )
3
= 3
3 = 3
= 3( = (
=3 3 3 = 3
3= 3( = (
= =
Sb IMh
3S 1G
cJ
(1) e
3
G VG GWGjhe
{129
: G
-
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130
G T M ( 2 - 3 - 7 )
( ( 3
= 3 = 3 =33 3 3
= =33 3 =
=
3
JQGIYdG Me = G T M
-
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131
3 3
= 3 = 3
= =
) ( 3
33
3
Y G H f SeG jdG V UM
(1) e
(2) e
: G
-
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132
=3 =
=33 3 =
3 =
= =
3 = 3 = 3 3
fK jH MCG S
3
3
: G
-
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133
G Sd iNG GMh ( ( 7 - 4 .(
3
(
.
:G Sb GMh H bdG
= = =3 =
3 = 3=3
= =
= 333=3 3333 =
-
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( 2 - 7) jQ
134
): (
( ( ( 333 )
33 ) (
) 3
-
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135
3
) ) )3
. )3
) 3:
. ( . (
. ). )
. 3. )
. ) )
. )33 3
-
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-
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137
. =
= =
3 = 3 = =
3 = =3
3 =3 3 = =
=
3
3
3
(2) e
(3) e
: G
=
: G
-
8/13/2019 GRADE-6 MATH
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( 4 - 7) jQ
138
)) ) )
3(33
.
-
8/13/2019 GRADE-6 MATH
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-
8/13/2019 GRADE-6 MATH
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140
QdG dG ( 1 - 8 )
:
. *.
= ( + + + + ) ( = -) ( 3= -) 3
TH N e UTG hG ATG Y g AMG
TG g H SGQO hS
-
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141
1 f
fK jW SG S
QdG dG Y d
= -
-
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-
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143
IYH dG dG ( 2 - 8 )
.
.
3
(1) e
-
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144
3
G Sf G hdG dH
3
: G
-
8/13/2019 GRADE-6 MATH
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145
IYH dG dG IAGb ( 3 - 8 )
. ()
: )
. )
IAGb hSdG dG
fh IOjR g M
G QGe
3
(2) e
-
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146
IYH H SQ (4-8)
3( )
1 f
3
3
-
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147
H dG dG ( 5 - 8 )
. ) (
3
= - 3.
3
3
-
8/13/2019 GRADE-6 MATH
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-
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).
) ) )
) ) (
( 1 - 8) jQ
149
3
-
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)
(3:
: ) ) ) )
33
150
-
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151
( HG SdG ) G OjG (7 - 8 )
.
+ 3 + = =
= 3
3 3
24 H bG SS 3Y MJ
3
-
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-
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153
: G
=
=
=
( (
jge c OhQdG OY jgG OY H bCG S
1 f
(2) e
(3) e
=
-
8/13/2019 GRADE-6 MATH
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154
: G
3 + + = 3 ==
3 3
: G
3 = =
= 3 + = -
hG IG
fdG IG
ddG IG
(4) e
-
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( 2 - 8) jQ
155
: ( ) )) )3 ) 33 33 )
(
(3
33
-
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156
)
)
.
-
8/13/2019 GRADE-6 MATH
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157
Ye jQ
157
: ) = )3 = ) = ) 3 = )
: )
- ( - (
(3
) 3)
3
3
3 33
-
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158/160
158
3
))
) ( )
)
) 3)3
-
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159
16 - 5 YG : h CG dG
Af CG (1 - 1) dG YG (2 - 1)
YG hJ (3 -1) FG YG (4- 1)
YG WJ (5 -1) YG OCG (6 - 1)
26 - 17 dG OGY CG Y dG : dG dGdG OGY CG Y dG (1 - 2)
MGh bQ e eQ e OY Y dG :hCGbQ e eQ e OY Y dG :fK
bQCG KK e eQ e OY Y dG :dKdG QhGh HdG QhG ( 2 -2 )
HdG QGh OdG He : hCGdG QGh OdG e : fK
40 - 27 YHdG T CG : ddG dGYHdG T CG (1 -3 )
YHdG TC
G SQ (2 - 3 ) YHdG T CG (3 - 3 ) IXG jGhdG (4 - 3 )
dOG jGhdG (4 - 3)
88 - 41 jdG QdGh jOY CG QdG : HGdG dGjOY CG QdG (1 - 4 )
dHh c OY G OY CG dG j (2- 4 ) jOY CG QdG Y Y (3 - 4 )
jOY CG QdG Wh L -1jOY CG QdG V -2jOY CG QdG b-3
jdG QdG (4 - 4 ) jY Qc G jOY CG QdG j (5 - 4 )
jdG OGY CG JJh fQe ( 6 - 4 ) jdG OGY CGh QdG jJ (7 - 4)
U OY bCG : hCGIMGh jY J jdG : fK
jY J jdG : dK
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jdG OGY CGh QdG Y dG ( 8 - 4 ) jdG OGY CGh QdG Wh L (1- 8-4)
jdG OGY CGh QdG V (2-8-4)U OY Y OY hCG c V : hCG
JYeh 1000 ,100 ,10 dG : fKY OY hCG c Y OY hCG c V : dK
jdG OGY CGh QdG b (3 - 8 - 4)U OY Y Y OY hCG Y c b : hCG
JYeh 1000 , 100 , 10Y dG: fKY OY hCG Y c Y U OY b : dK
Y OY hCG Y c Y Y OY hCG Y c b :HGQjdG QdGh OGY CG jJ (9 - 4)
106 - 89 SdGh dG : eG dGdG (1-5)
SdG (2- 5) SdG Se (3- 5)
SdG dG (4- 5 )
120 - 107 IFGdG : SOdG dGIFGdG AGLCG ( 1-6 )
I FG dG ( 2 6 )
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