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21

رياضيات السنة الخامسة ابتدائي

Nov 12, 2015

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Rachid Mait

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  • 0

    :

    : rf.oohay@inadias_daruoM

    + 08 21

    +

  • 2

    -

    - -

    - -

    .

  • 3

    m

    : - " " :

    .

    . :

    :

    : ( ) 41

    ( ) :

    7002 20 22:

    .

    .

  • 4

    : 1 :

    . 0005732 000039 000238 :2

    : * .403795 : - .9083449 : - .010001 : -

    : 3 :

    .9312 03465391 9364831 329643

    :4 :

    . 292359 35272023 23642 : 5

    : * 6 + 04 + 003 + 00092 = 64392 = 112 .. = 146739 = 12573 .. = 1323 = 2429145

    :6 :

    0000004 +3 00028 + 241 =2412384 .. = 211 + 000231 + 0000009 = 216 + 000125 + 00000022 = 006 + 000003 + 00000063

    : 7 : * -

    - -

    ......

    ......

    ......

  • 5

    : 8 :

    . 921463 511463 531463 501463 001463 011463 021463 031463 041463

    : 9 .

    . 062432 1572 6540239 8888888 256231 :01

    : 6 * : ........................632541

    : ...........................9361 : ..............................36

    ...... : .................00362 ( ) :11

    2 21 2 21

    : 21

    : * 3452 1392 4002

    + + + 1291 321 6031

    ............ = .............. = ............... =

    ( : ) 31

    . AD 226 AD 3641 AD 93756: ""

    ( : ) 41 AD 3264

    ( : ) 51

    AD 2364 7 *

    : 61 :

    . = 211 + 24613 = 34651 + 896451 .. = 3291 + 5463 . = 9334 + 963562

    : 71 :

    132563 + 12345 ,93564361 + 93456792

  • 6

    : 81

    : *

    9 . 3 . . 5 . 4 . 1 . 9356 + + +

    .3 . 2 2 . 9 . 6 . 3........ = 1 0 6 9 1 = 3 8 0 3 8 0 6 = 12971

    : 91 5002 4002 3002: " "

    5002 4002 3002

    1934768 8121 564398

    " " .1 5002 3002 .2 5002 4002 .3

    : 02 :

    321 23643 , 1246543 64237391 : 12

    : * 3 6 . . 3 2 . 3 4 0 2 6 . 3 . 9.

    - - - . . 3 4. . 3. . . 2 1 2 1 3 . 5 = 2 7 4 2 2 0 = 0 2 1 5 0 = 5 4 2 9 7 1

    : 22 " "

    4361 119 321 493 L

    . " " * : 32

    : * 31234639 67329 1432643

    - - - 26134136 38231 1121

    ............ = ............. = ............... = ( ) : 42

    . AD 002: gk5 AD 641: * 01 02 *

  • 7

    :52

    : * mD . = mc .. = mm 5423 mc = mc 22 m 3 m . = mc 243 md .. = mc . = m 021

    : 62 : *

    m . = mm 0003 m . = mc006 mk = m 0003 m . = mad 4 mk .. = mm0000002 m . = mh 7 mk . = mh 0001 m .= mk9 mk . = m 0004 mm = mk 0003

    :72 : *

    642 mm = 002 m + 04 mm + 6mm . = mc 113 .. = md 327

    :82 : *

    1392 621 2911 213

    66 71 2 3

    ....... = .............. = ........... = ............ =

    : 92 *

    . 4 341 , 6 932 , 21 6631 , 33 3649 : 03

    : * 2443 131 39 319 7139 431

    31 3 2 71 6 02

    ....... = ........... = .......... = ........ = ........ = ........... =

  • 8

    : 13 : *

    622 23 ( = 622 2 ( + ) 622 03 = ) 254 + 0876 =2327 = 98 363 . = 42 612 ......... = 51 136

    : 23 : *

    : 33 : *

    . = 001 21 = 3 0001 .. = 6 003 = 132 01 . = 4 0003 .. = 23 06

    : 43 : *

    01 001 0001 00001 24 ............ ........... ........... ................ 21 ............ ............. ........... ................ 66 ............ ............ ............ ................

    : 53 : *

    808 = 864 + 0432 = ) 2 432 ( + ) 01 432 ( 21 432 . = 51 261 = 32 325

    :63 . H L T

    . H L R * . H L S * . H L M *

    : 73 M

    . mc 3 R S: * . R S F *

    ( AD)

    ................ 6111

    ............... ................

    9 ...........

    23 009

    006 39

    421 01

  • 9

    : 83 : *

    27 = 8 9: 9 27 ............................ 03 ............................. 63 ............................. 94 ............................. 04

    : 93 : *

    . 05 54 04 63 03 52 42 21 9 8 6 3 4 02 9 4 3 2

    .......................... ...................... .............................. ............................ ( ) :04

    2 *

    S :14 : *

    T R ........................... T D ............................ D R R ............................. S D ............................ S

    D : 24

    T F

    S

    G

    . - . S F B - . G T Z -

    : 34

    .

  • 01

    :44

    H:

    *

    S R

    K : 54

    : * T H

    N : 64

    T M T M

    . MT R - . R MT -

    : 74 .mc 5.3 RM H

    . M R F - . F M R: -

    : 84 : * 9 8 1 1

    = = + 2 + 4 4 4 4

    22 ............................................... =

    7 62

    .............................................. = 01

    93 ............................................. =

    6

  • 11

    : 94

    : *

    1 4 1 5 2+ = + =

    2 2 2 2 2

    9.............................................. = + 3

    1 4............................................... = +

    6 2

    3 ............................................... = + 3

    :05 : * . - . - . - . -

    : 15 : *

    . 61.21 321.91 10.1 920.8 :25

    : ( < > ) = * 20.41 .............. 02.41

    03.223 ................ 003.223 20.336... ...........203.36

    200.87 ............. 00200.87 : 35

    * ............ < 223.6

  • 21

    : 65

    ( ) : * . = 3 66.7 , . = 6 22.8 , . = 21 71.13

    :75 : *

    1 2 < 34.0 <

    3 3 ............... < 15.0

  • 31

    : 46 : *

    . = 921 65 .. = 921 6.5 .. = 921 65.0 = 92.1 65 . = 9.21 65 = 921.0 65

    : 56 : *

    .. = 01 206 , = 01 013 , . = 0001 25643 = 001 239 , . = 01 261 , . = 001 206 . = 0001 260342

    : 66 : *

    , 264.3 = .. 2643 2.01 = . 201 4.0 = . 4 30.0 = .. 03 33.4 = .. 334 7 = 0007

    :76 2: *

    = .......... 02 01

    ........ 6.4 =

    001 21

    = ........ = 021 001

    : 86 : *

    mh 4.26 = mad4 mh 2 mk 6 = mm41 md2 . = m2 mh2 .. = mm01 md4 m4

  • 41

    :96 : *

    mm 3 mc 3 md4 = mm634 . = m 9842 . = mad 304 ........................ = mc 162

    : 07 : *

    . 0094 = mh94 2.14 = mc 214 2.004 = mm 2004 .064 = m 64.0

    : 17 : *

    46 56 22

    .............

    ........... ............. ..............

    5

    23 22 7

    21

    00 1

    ....... 00

    : 27 : *

    s21nim03h61 s04nim4 h2 ..................................... ................................... s02nim04h4 s02nim03h9 s03nim6h31 .................................... s04nim02h01

    : 37 : *

    2mc = 2m6.7 2mc . = 2m39 2mc = 2m221 2mc . = 2m 02 2m .. = 2md 0203 2m . = 2mc39871 2m .. = 2mk2 2m . = 2md05.21

    : 47 A

    mc4: B A B * . B A C A c * CBA * *

  • 51

    : 57 : *

    .. = 2 05 , .. = 4 67 , = 3 23 , .. = 2 32 :67

    : *

    362 31 7735 33 663 3 3824 21 0241 01 3536 42

    : 77 : *

    = nim03 h1 , . = nim23 , = nim041 , .. = nim27

    . = nim03 + nim21h9 , .. = nim34h3 , .. = nim43 h6 .. = h 3 + nim52 h4

    : 87 : *

    6.39 = 01 . , 763.0 = 01 .. , 032.3 = 0001 32.23 = 001 . , 7230.0 = 0001 . , 221.2 = 001 .

    :97 : *

    gm .. = gc 138 , gc .. = gd3.24 , gk . = t 4.2 , q .. = gk412 : 08

    : * . g 6.21 , gm 283 , t 4.2 , q01.41 , g023 , gk55

    : 18 AD 08: " "

    : * 51 21 9 6 3

    : 28 . 4002 0002

    4002 3002 2002 1002 0002 511 501 521 021 001

    002 001 521 052 002

    . * :38

    : * 3m 01 , 3m21 , 3md22.1 , 3mc24.0

  • 61

    : 48 : *

    3mm .. = 3mc 43.41 3m . = 3md0534 3mD . = 3m 2.0

    : 1 238011 = 6329 21:

    . .

    : 2 305 = 36 + 041 + 003:

    . .

    : 3 AD287632" "

    6 * : 4

    AD 54639: " : " " " AD 24639: " " AD 7632:

    AD 21.0732:

    : 5 . mc 2 = RT mc 4 = HT T RHT * . A RBA

    : 6 :

    * .

    : 7 6: 3/2 A 046

    . m 6

    AD 631: =

    m6=

    : + 21

    ( 2)

    ( 1)

  • 71

    :8 nim54h4

    . nim 03 h 81 . :

    . h/mk021 : 9

    . gk 086.0: L5

    : 01 mc21:

    mk 6: mk21 mc6 :

    :11 AD 062 61

    21 : 21

    . L95.64: mk046 " " mk001

    AD 66.54:

    : 31 .AD 042: 21 4

    : 41 . %02 m 06

    . m 5.6 m 2 m 2 :

    : 51 m 5.4: 2m 46:

    AD 006:

  • 81

    : *

    ( 30 ) : :

    5.31 , 53.31 , 90.31 , 533.1 , 9.031 , 105.31 ( 50) :

    2mc 5.4 :

    mc7

    mc 41 ( 40) :

    nim03 h61

    . nim51 . 5

    ( 80) :

    m 2 m 4 m 7

    . L4.051 : ( 3m: ) .1 .2 .3

    :

    7002 20 22

    .

  • 91

    :

    . * ( 30)

    3 06 * .1 5 .2

    mc21 ( 30) :

    mc6 . .1 . .2 .3

    ( 30)

    : *

    652 6143 642 , ,

    001 0001 01 ( 30) AD00541: .% 03

    AD39541:

    ( 80) :

    . . L 9.22 . L 8.34

    mk69548 . mk 002 L 2.8: . mk 65498

    .1 .2 .3

  • 02

    :1 :

    30 5.0 +5.0+5.0 +5.0 +5.0 +5.0 1 533. ,3190. ,31 53. ,31 5. ,31105.

    : 2

    2m 89 = 7 41

    : 2m5.39= 5.4 89

    57.1

    57.1

    05.3

    2m89: 2m 5.39 :

    05.0 05.0

    1

    05.0 05.0 395.m2:

    :3

    ) (

    nim05h1= nim 5 + nim 51 + nim03 h1

    nim02h81 = nim08h71 = nim 03h61 + nim05h1

    10

    10

    20

    nim05h1: nim02h81:

    57.0 57.0

    05.1

    81 h 02nim:

    05.0 05.0

    :

  • 12

    :

    1

    L257 = 54.051: 3m:

    5.0 5.0

    3m: 0001 257 3m:

    1 3m = 3md1 = L1

    0001 257.0 = 0001 257

    2 10

    5.0 0257.m3: m3:

    : 5.0 + 5.0 :

    3 4 7:

    10

    48 = 3 4 7

    10

    05.0 48m3:

    257.0 48:

    10

    3m 842.38 = 257.0 48

    10

    5.0 38842.m3:

    3

    5.0 :

  • 0

    :

    : rf.oohay@inadias_daruoM

    + 08 21

    +

  • 2

    -

    - -

    - -

    .

  • 3

    m

    : - " " :

    .

    . :

    :

    : ( ) 41

    ( ) :

    7002 20 22:

    .

    .

  • 4

    : 1 :

    . 0005732 000039 000238 :2

    : * .403795 : - .9083449 : - .010001 : -

    : 3 :

    .9312 03465391 9364831 329643

    :4 :

    . 292359 35272023 23642 : 5

    : * 6 + 04 + 003 + 00092 = 64392 = 112 .. = 146739 = 12573 .. = 1323 = 2429145

    :6 :

    0000004 +3 00028 + 241 =2412384 .. = 211 + 000231 + 0000009 = 216 + 000125 + 00000022 = 006 + 000003 + 00000063

    : 7 : * -

    - -

    ......

    ......

    ......

  • 5

    : 8 :

    . 921463 511463 531463 501463 001463 011463 021463 031463 041463

    : 9 .

    . 062432 1572 6540239 8888888 256231 :01

    : 6 * : ........................632541

    : ...........................9361 : ..............................36

    ...... : .................00362 ( ) :11

    2 21 2 21

    : 21

    : * 3452 1392 4002

    + + + 1291 321 6031

    ............ = .............. = ............... =

    ( : ) 31

    . AD 226 AD 3641 AD 93756: ""

    ( : ) 41 AD 3264

    ( : ) 51

    AD 2364 7 *

    : 61 :

    . = 211 + 24613 = 34651 + 896451 .. = 3291 + 5463 . = 9334 + 963562

    : 71 :

    132563 + 12345 ,93564361 + 93456792

  • 6

    : 81

    : *

    9 . 3 . . 5 . 4 . 1 . 9356 + + +

    .3 . 2 2 . 9 . 6 . 3........ = 1 0 6 9 1 = 3 8 0 3 8 0 6 = 12971

    : 91 5002 4002 3002: " "

    5002 4002 3002

    1934768 8121 564398

    " " .1 5002 3002 .2 5002 4002 .3

    : 02 :

    321 23643 , 1246543 64237391 : 12

    : * 3 6 . . 3 2 . 3 4 0 2 6 . 3 . 9.

    - - - . . 3 4. . 3. . . 2 1 2 1 3 . 5 = 2 7 4 2 2 0 = 0 2 1 5 0 = 5 4 2 9 7 1

    : 22 " "

    4361 119 321 493 L

    . " " * : 32

    : * 31234639 67329 1432643

    - - - 26134136 38231 1121

    ............ = ............. = ............... = ( ) : 42

    . AD 002: gk5 AD 641: * 01 02 *

  • 7

    :52

    : * mD . = mc .. = mm 5423 mc = mc 22 m 3 m . = mc 243 md .. = mc . = m 021

    : 62 : *

    m . = mm 0003 m . = mc006 mk = m 0003 m . = mad 4 mk .. = mm0000002 m . = mh 7 mk . = mh 0001 m .= mk9 mk . = m 0004 mm = mk 0003

    :72 : *

    642 mm = 002 m + 04 mm + 6mm . = mc 113 .. = md 327

    :82 : *

    1392 621 2911 213

    66 71 2 3

    ....... = .............. = ........... = ............ =

    : 92 *

    . 4 341 , 6 932 , 21 6631 , 33 3649 : 03

    : * 2443 131 39 319 7139 431

    31 3 2 71 6 02

    ....... = ........... = .......... = ........ = ........ = ........... =

  • 8

    : 13 : *

    622 23 ( = 622 2 ( + ) 622 03 = ) 254 + 0876 =2327 = 98 363 . = 42 612 ......... = 51 136

    : 23 : *

    : 33 : *

    . = 001 21 = 3 0001 .. = 6 003 = 132 01 . = 4 0003 .. = 23 06

    : 43 : *

    01 001 0001 00001 24 ............ ........... ........... ................ 21 ............ ............. ........... ................ 66 ............ ............ ............ ................

    : 53 : *

    808 = 864 + 0432 = ) 2 432 ( + ) 01 432 ( 21 432 . = 51 261 = 32 325

    :63 . H L T

    . H L R * . H L S * . H L M *

    : 73 M

    . mc 3 R S: * . R S F *

    ( AD)

    ................ 6111

    ............... ................

    9 ...........

    23 009

    006 39

    421 01

  • 9

    : 83 : *

    27 = 8 9: 9 27 ............................ 03 ............................. 63 ............................. 94 ............................. 04

    : 93 : *

    . 05 54 04 63 03 52 42 21 9 8 6 3 4 02 9 4 3 2

    .......................... ...................... .............................. ............................ ( ) :04

    2 *

    S :14 : *

    T R ........................... T D ............................ D R R ............................. S D ............................ S

    D : 24

    T F

    S

    G

    . - . S F B - . G T Z -

    : 34

    .

  • 01

    :44

    H:

    *

    S R

    K : 54

    : * T H

    N : 64

    T M T M

    . MT R - . R MT -

    : 74 .mc 5.3 RM H

    . M R F - . F M R: -

    : 84 : * 9 8 1 1

    = = + 2 + 4 4 4 4

    22 ............................................... =

    7 62

    .............................................. = 01

    93 ............................................. =

    6

  • 11

    : 94

    : *

    1 4 1 5 2+ = + =

    2 2 2 2 2

    9.............................................. = + 3

    1 4............................................... = +

    6 2

    3 ............................................... = + 3

    :05 : * . - . - . - . -

    : 15 : *

    . 61.21 321.91 10.1 920.8 :25

    : ( < > ) = * 20.41 .............. 02.41

    03.223 ................ 003.223 20.336... ...........203.36

    200.87 ............. 00200.87 : 35

    * ............ < 223.6

  • 21

    : 65

    ( ) : * . = 3 66.7 , . = 6 22.8 , . = 21 71.13

    :75 : *

    1 2 < 34.0 <

    3 3 ............... < 15.0

  • 31

    : 46 : *

    . = 921 65 .. = 921 6.5 .. = 921 65.0 = 92.1 65 . = 9.21 65 = 921.0 65

    : 56 : *

    .. = 01 206 , = 01 013 , . = 0001 25643 = 001 239 , . = 01 261 , . = 001 206 . = 0001 260342

    : 66 : *

    , 264.3 = .. 2643 2.01 = . 201 4.0 = . 4 30.0 = .. 03 33.4 = .. 334 7 = 0007

    :76 2: *

    = .......... 02 01

    ........ 6.4 =

    001 21

    = ........ = 021 001

    : 86 : *

    mh 4.26 = mad4 mh 2 mk 6 = mm41 md2 . = m2 mh2 .. = mm01 md4 m4

  • 41

    :96 : *

    mm 3 mc 3 md4 = mm634 . = m 9842 . = mad 304 ........................ = mc 162

    : 07 : *

    . 0094 = mh94 2.14 = mc 214 2.004 = mm 2004 .064 = m 64.0

    : 17 : *

    46 56 22

    .............

    ........... ............. ..............

    5

    23 22 7

    21

    00 1

    ....... 00

    : 27 : *

    s21nim03h61 s04nim4 h2 ..................................... ................................... s02nim04h4 s02nim03h9 s03nim6h31 .................................... s04nim02h01

    : 37 : *

    2mc = 2m6.7 2mc . = 2m39 2mc = 2m221 2mc . = 2m 02 2m .. = 2md 0203 2m . = 2mc39871 2m .. = 2mk2 2m . = 2md05.21

    : 47 A

    mc4: B A B * . B A C A c * CBA * *

  • 51

    : 57 : *

    .. = 2 05 , .. = 4 67 , = 3 23 , .. = 2 32 :67

    : *

    362 31 7735 33 663 3 3824 21 0241 01 3536 42

    : 77 : *

    = nim03 h1 , . = nim23 , = nim041 , .. = nim27

    . = nim03 + nim21h9 , .. = nim34h3 , .. = nim43 h6 .. = h 3 + nim52 h4

    : 87 : *

    6.39 = 01 . , 763.0 = 01 .. , 032.3 = 0001 32.23 = 001 . , 7230.0 = 0001 . , 221.2 = 001 .

    :97 : *

    gm .. = gc 138 , gc .. = gd3.24 , gk . = t 4.2 , q .. = gk412 : 08

    : * . g 6.21 , gm 283 , t 4.2 , q01.41 , g023 , gk55

    : 18 AD 08: " "

    : * 51 21 9 6 3

    : 28 . 4002 0002

    4002 3002 2002 1002 0002 511 501 521 021 001

    002 001 521 052 002

    . * :38

    : * 3m 01 , 3m21 , 3md22.1 , 3mc24.0

  • 61

    : 48 : *

    3mm .. = 3mc 43.41 3m . = 3md0534 3mD . = 3m 2.0

    : 1 238011 = 6329 21:

    . .

    : 2 305 = 36 + 041 + 003:

    . .

    : 3 AD287632" "

    6 * : 4

    AD 54639: " : " " " AD 24639: " " AD 7632:

    AD 21.0732:

    : 5 . mc 2 = RT mc 4 = HT T RHT * . A RBA

    : 6 :

    * .

    : 7 6: 3/2 A 046

    . m 6

    AD 631: =

    m6=

    : + 21

    ( 2)

    ( 1)

  • 71

    :8 nim54h4

    . nim 03 h 81 . :

    . h/mk021 : 9

    . gk 086.0: L5

    : 01 mc21:

    mk 6: mk21 mc6 :

    :11 AD 062 61

    21 : 21

    . L95.64: mk046 " " mk001

    AD 66.54:

    : 31 .AD 042: 21 4

    : 41 . %02 m 06

    . m 5.6 m 2 m 2 :

    : 51 m 5.4: 2m 46:

    AD 006:

  • 81

    : *

    ( 30 ) : :

    5.31 , 53.31 , 90.31 , 533.1 , 9.031 , 105.31 ( 50) :

    2mc 5.4 :

    mc7

    mc 41 ( 40) :

    nim03 h61

    . nim51 . 5

    ( 80) :

    m 2 m 4 m 7

    . L4.051 : ( 3m: ) .1 .2 .3

    :

    7002 20 22

    .

  • 91

    :

    . * ( 30)

    3 06 * .1 5 .2

    mc21 ( 30) :

    mc6 . .1 . .2 .3

    ( 30)

    : *

    652 6143 642 , ,

    001 0001 01 ( 30) AD00541: .% 03

    AD39541:

    ( 80) :

    . . L 9.22 . L 8.34

    mk69548 . mk 002 L 2.8: . mk 65498

    .1 .2 .3

  • 02

    :1 :

    30 5.0 +5.0+5.0 +5.0 +5.0 +5.0 1 533. ,3190. ,31 53. ,31 5. ,31105.

    : 2

    2m 89 = 7 41

    : 2m5.39= 5.4 89

    57.1

    57.1

    05.3

    2m89: 2m 5.39 :

    05.0 05.0

    1

    05.0 05.0 395.m2:

    :3

    ) (

    nim05h1= nim 5 + nim 51 + nim03 h1

    nim02h81 = nim08h71 = nim 03h61 + nim05h1

    10

    10

    20

    nim05h1: nim02h81:

    57.0 57.0

    05.1

    81 h 02nim:

    05.0 05.0

    :

  • 12

    :

    1

    L257 = 54.051: 3m:

    5.0 5.0

    3m: 0001 257 3m:

    1 3m = 3md1 = L1

    0001 257.0 = 0001 257

    2 10

    5.0 0257.m3: m3:

    : 5.0 + 5.0 :

    3 4 7:

    10

    48 = 3 4 7

    10

    05.0 48m3:

    257.0 48:

    10

    3m 842.38 = 257.0 48

    10

    5.0 38842.m3:

    3

    5.0 :