رياضيات سادس ابتدائ GRADE-6 MATH

8/13/2019 GRADE-6 MATH

1/160

VjdG

FGHG SOdG d

dCJ

UdG Y Y MCG . O ``LQ T QW . OSe M ````````Y M S`Y e

/ 3


2/160

``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

*.*.

*........ ......

. ..

:

. ) . (


5/160

YG


6/160

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


7/160

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


8/160

8

1 f

e

YG hJ (3 - 1) =

} }= S = U hCG U = S

{}= =

{}= / G= =

{}= : = )

.{}= = ) =.


9/160

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


10/160

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


11/160


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12

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


14/160

( ( = {}{3 }=

{}={}{}= ()

{}=

YG OG (6 - 1)

: {}

{}{}

( U)S = (US)

14

3

3

dG G hjdG H

dH h


15/160

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 )


16/160

16

(2 - 1) jQ

{3 }= ={} ):

. = ( . ( . {3 }= ( . {}= (

. {}{}= ( . ( . = ( . = )

= {}{} ( : } }= { }= )

. = ( ( ( . = ( ( (

{}= ={} {}= (3.

. ) . ( . ( . ) ( ( . ( ( (

): 3 ( ( ( ( (

16


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3 _ 441

25

3

216


18/160


19/160

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


20/160

bQCG KK e eQ e OY Y dG ( kdK )

= = = +

) 3 3

3

= 3

= = + 3= + 3 :

= 3 ( = ( = ( = (

3 33

3 f

33 3

20


21/160

21

(1 - 2) jQ

21

: ) = 3 ( = (

= 33 ( = ( = 3 ( = (

= 3( = 3 ( = 3 ( = 3 (

= 3( = ( )3

(3 3

)3 (

3


22/160

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


23/160


24/160

24

( 2 - 2) jQ

24

: )

) 3 3)

)


25/160

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


26/160

: 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


27/160


28/160

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


29/160

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

[


32/160

32

YHdG TG SQ (2-3) VG RGe SQ

= = 3 = :

( ) 3

) ( 3 3.

= = = 3

1 f

3

3

3 3 3


33/160


34/160

YHdG TG ( 3 - 3 )

VG RGe ( khCG

=

2jQhe V W = VG RGe a

= = : G =

= = ( + ) =

G ( kfK =

4dG W = G

34

(1) e

1f


35/160

35

= = =

G T (

kdK

HQG YVG GWG = G T

: G

= 3 + + 3+ =

=

(2) e

2f

(3) e

3

3


36/160


37/160

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


42/160

42

QdGjOYG QdG(1-4)

=

(= ) ( = 3 )

( 3 ) ) ) .

= = =

= =

=

=

3 3

3

1 f

33


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45

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


46/160

= = =

: = = + = + = (

= = = ( ( (

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


47/160

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


49/160

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


50/160

50

( 1 - 4) jQ

3

3 3

3

3

50

3333

333 3

: ) + ( + (

+ ( + ( - ( - (

- + ( - + ( )

(3

)

)

)


51/160


52/160


53/160

( 2 - 4) jQ

53

33

3

3 3

33

: ) ( 3 (

) ( ) (

) 3 ( . )

. (3 )

. 3 (3 .

3


54/160


55/160

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


56/160

56

( ) + ( ) ( ) + ( ) / G

( ) + ( ) =

+ =

= = = + =

(( 3 3 / G

3 3

= = 3

33

333 333

+ 3

3

3 +

(2) e

3

(3) e

3


57/160


58/160

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


59/160

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


60/160


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61

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


63/160

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


64/160


65/160

65

3 - ( = 3 -

3 = - 3 ( -

3 - ( 3- =

3 - - 3 - 3 -

3

jdG JGG hJ nJ

3

jdG IRQdG nJ


66/160

66

( 4 - 4) jQ

66

: ) - 3 ( 3 + ( - 3 ( + ( 3 - + 3 ( 3 + (

:3 )

(333 3 .

)3


67/160

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


68/160

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


69/160

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


70/160

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


71/160


72/160

( 5 -4) jQ

72

: ) (

= 3 = 3= = = =

) ( = = = = = =

) ( = 3 = = 33 = 3

= =


73/160

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


74/160

( 6 - 4) jQ

: ) 33 3 3

: ) ) ( ( (

3+ ( 3 ( (3

. ) )

) 3

74


75/160


76/160

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


77/160

77

)

=

= = = 3 = 3

JYeh 100Y dG )

=

3 ) 3 = 33

1 f

=

==

=

==


78/160

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 ==


79/160

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


80/160

80

3 )

= 3

= 3 = = =

1 f

3= 3

3== 3 = 3

==


81/160

( 7 - 4) jQ

81

: ( (

3 3 3

( ( 3 3

( ) 3


82/160

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=


83/160

83

Y c Y Y c b ( kkHGQ

G

=

=

= 3 ( = ( = 3 3 (3= (

1 f

(1) e

(2) e

=

=


84/160

84

( 8 - 4) jQ

84

: : ( 3( ( (

( ( :

: 3 3

: :3


85/160

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


86/160

86

+ =

+ = =

= =

=

) )

JGe K G 9 Y 2 fjY

+

1 f

(1) e


87/160

87

3 = 3

3

3 = 3 3

(2) e

(3) e

3

-

-

-

-

33 3

-

-

-

-

-

HQG G dG AGLG G fjY JGe


88/160

88

( 9 - 4) jQ

33 3

: )( 3( ( )3 ( (

) ) : )

(3 3 3 33 3 3

)3

3(

)

88


89/160

S


90/160

90

SdGh dGdG( 1 - 5 )

) ) . :

= -

= =

: 3 = -

3 = =

3 :

3

3

SdG IMh f d c H fQe dG

12 Hc

2 : 1H


91/160

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


92/160

92

3 3

: G

= =

3= 3- 3

= =

: : 3 ( : ( : ( = : ( : G

= = : )= = (

33

33

33 33

d dGIMh d

(4) e

(5) e

=

=


93/160


94/160


95/160

) ):

.

95


96/160


97/160


98/160

= = / G

=

. = = / G

=

= / G

=

=

.

(3) e

(4) e

(5) e

3

3

98


99/160


100/160

100

SdG Se ( 3 - 5 )

*

. .

*. . .

.

.

: .

= = =

S 100= 1

G dG G SdG dG H dG g : SdG Se


101/160


102/160

. 3

/ G

=

3 = = 3

3

3 3

GMdG jG cG eof UG

(3) e

102


103/160

103

(3 - 5) jQ

) ( ( : )

(3 )

. (

( ( :

3

103


104/160


105/160

105

= = + = 3 =

= = =

= = =

3 . = / G

= + 3 = =

= =

= =

=

3

3

3

33

3

(2) e


106/160


107/160

S

IF


108/160


109/160

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


110/160

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


111/160


112/160

112

3 3

3 =

=

dG = IFGdG

( ( ( 3

3

333

edH d ejh HdG dG 3^14J

> CGJ


113/160

113

= / G

== =

= / G

= = = 3= =

(1) e

(2) e

= N

kjG 3^14=


114/160

( 1 - 6) jQ

114

3

: )

) ) . )

: ( 3. )

. ). )

)3 3

)

(


115/160

IFGdG Me ( 4 - 6 )

.

)

)

= = = = =

=

g jH bCS fCG fH AGLG

( (

115


116/160

116

:

: G

= = =

=( 3= (

: G

= = = =3 =

3 = =

ff = IFGdG Me

(1) e

(2) e


117/160

117

3 .

: G

. :

= =

3 3 3 =3 =

= = 3

(3) e

HGbQdGMe khCGIFGdG Me K

1 f


118/160

1 - 1 ) jQ

: )

( = 3 ( = ) = ( 3(

. ( = (

( 3.

( 2 - 6) jQ

3

118


119/160

) .

).

. ) ( .

)

119

33


120/160

(

.

(3 :

120


121/160

H


122/160

122

G

( ( ) (

.

cJ

ch e CG YG T c

e T YG T

( (

( (


123/160

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


124/160

124

.

= = =

= = = = =

3=

= 3=

OjG hG hS

MGh S Me

(2) e

(1) e

: G

: G


125/160

125

G T ( 2 - 7 ).

.

.

. .

.

LhCG GPeG T


126/160

126

( (

.

. 3

) 3= 3 + )

. = 3 ( + ( =

= = == = + =

= + =

3

3

JYdG Me + fG MG = dG RG dG MG

JQG IYdG = fG MG


127/160

127

.

=

( + = ( ( + ) = = =

+ = ( ) + =+ 3= =

(1) e


128/160

( ) (

: ( ( (

(33

3 .

. (.

(.

.

( 1 - 7) jQ

128


129/160

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


130/160

130

G T M ( 2 - 3 - 7 )

( ( 3

= 3 = 3 =33 3 3

= =33 3 =

=

3

JQGIYdG Me = G T M


131/160

131

3 3

= 3 = 3

= =

) ( 3

33

3

Y G H f SeG jdG V UM

(1) e

(2) e

: G


132/160

132

=3 =

=33 3 =

3 =

= =

3 = 3 = 3 3

fK jH MCG S

3

3

: G


133/160

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


136/160


137/160

137

. =

= =

3 = 3 = =

3 = =3

3 =3 3 = =

=

3

3

3

(2) e

(3) e

: G

=

: G


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( 4 - 7) jQ

138

)) ) )

3(33

.


139/160


140/160

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

= -


142/160


143/160

143

IYH dG dG ( 2 - 8 )

.

.

3

(1) e


144/160

144

3

G Sf G hdG dH

3

: G


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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


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149/160

).

) ) )

) ) (

( 1 - 8) jQ

149

3


150/160

)

(3:

: ) ) ) )

33

150


151/160

151

( HG SdG ) G OjG (7 - 8 )

.

+ 3 + = =

= 3

3 3

24 H bG SS 3Y MJ

3


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153/160

153

: G

=

=

=

( (

jge c OhQdG OY jgG OY H bCG S

1 f

(2) e

(3) e

=


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154

: G

3 + + = 3 ==

3 3

: G

3 = =

= 3 + = -

hG IG

fdG IG

ddG IG

(4) e


155/160

( 2 - 8) jQ

155

: ( ) )) )3 ) 33 33 )

(

(3

33


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156

)

)

.


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157

Ye jQ

157

: ) = )3 = ) = ) 3 = )

: )

- ( - (

(3

) 3)

3

3

3 33


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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 )

رياضيات سادس ابتدائ GRADE-6 MATH

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