122-tet-maths.pdf

13
R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II வவரகைள ைகயாத - பதி Page 1 ளயய - வவரகைள ைகயாத றிபட தகவகைள ெபவதகாக திரடப எகள ெதா வவர ஆ. தாடக நிைலய கடறித வவரக வைகபதபடாத ெதா அல ைறபதபடாத வவரக எனப அடவைண லமாக எளதி ெகா ைகய சீபதபட வவரக ைறபதபட அல வைகபதபட வவரக எனப வளக படக எப ைறபதபட வவரகைள படக ல றிபவ ஆ ஒ றிபட வவரதி மிகெபய மதிப மிகசிறிய மதிப உள வதியாச ஒ வபைறய உள 20 மாணவகள உயரக கீேழ தரபளன வ காக 120, 122, 127, 112, 129, 118, 130, 132, 120, 115 124, 128, 120, 134, 126, 110, 132, 121, 127, 118 வ = மிகெபய மதி Ð மிகசிறிய மதி = 134 Ð 110 = 24 தாகபடாத வவரக சராச ,இைடநிைல, க சராச = மதிகள மதிகள எணைக ஆ பகள மாத வவா 3500 , 2700 , 3000 , 2800 , 3900 ம 2100 என வவாய சராசைய காக சராச = மதிகள மதிகள எணைக சராச = = = 3000 5 ேபனாகள சராச வைல 75 . 5 ேபனாகள ெமாத வைல என ? சராச = பனாகள மாத வைல பனாகள எணைக

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122-tet-maths

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  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 1

    - "#

    .

    "(

    * +

    . (* 0 3 + *

    #* + . *

    456 8 # 5

    8 20 3#

    456 " 120, 122, 127, 112, 129, 118, 130, 132, 120, 115 124, 128, 120, 134, 126, 110, 132, 121, 127, 118 43G

    456 = 5 = 134 110 = 24

    ,, +

    = # K# "

    # 8L 3500 , 2700 , 3000 , 2800 , 3900

    2100 8# "

    43G

    = # K

    # "

    = =

    = 3000

    5 # M 75 . 5 # # ?

    43G

    = # # "

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 2

    8(*

    5 # = x # " = 75 x 5 =325

    9, 6, 7, 8, 5 x # 8 x # "

    43G

    = # K# " =8 *

    = 8

    = 8

    35 + = 48 = 48 - 35 =13

    8 P 10 3# 166 .Q

    * . 5 3 * 8 150 .Q

    160 .Q # * "R*

    "

    43G

    = # K# "

    166 = # K # K = 166 x 10 = 1660 K = 1660 K = 1660 160 + 150 = 1650

    = = 165 .Q

    * * *

    # " 8(

    # " 8(

    " # K G T

    " 8

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 3

    + 5 "# "

    + 5 " 2,3,5,7,11 ( * ) # " 5 . " .

    .#* " . 2, 3 , 5 ,7 ,11 .# " 5 5 " 3 , 4 , 5 , 3 , 6 , 7 , 2 43G W 2 , 3 , 3 , 4 , 5 , 6 , 7 # " 7 . " . " 4 *

    12 , 14, 25 , 23 , 18 , 17 , 24 , 20 ## " 43G

    W

    12 , 14 , 17 , 18 ,20 , 23 ,24 , 25

    # " 8 . * ".

    #* 8 18 20 ( K

    .

    =

    = = 19

    17 , 15 , 9 , 13 , 21 , 7 , 32 # " 43G

    W 7 , 9 , 13 , 15 , 17 , 21 , 32

    # " 7

    * " . " 15 *

    8 43 13 , 28 , 61 , 70 , 4 , 11 , 33 , 0 , 71 , 92 . # "

    W 0 , 4 , 11 , 13 , 28 , 33 , 61 , 70 , 71 , 92

    # " 10

    * "

    #* 8 28 33 # K .

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 4

    =

    =

    = 30.5

    +

    "

    # +

    + " 3 , 3 , 4 , 5 , 3 , 6 , 7 43G

    3 #* + (** . + 3 + " 2 , 2 , 2 , 3 , 3 ,4 , 5 , 5 , 5 , 6 , 6 , 8 43G : 2 5 3 + (* . + 2 5 + " 90 , 40 , 68 , 94 , 50 , 60

    43G : ( "Y " . +

    + " 10 , 15 , 20 , 25 , 15 , 18 , 12 , 15

    + 15 ( 15 + (** )

    + " 20 , 25 , 30 , 30 , 15 , 10 , 25

    + 25 , 30 ( 25 , 30 " + (** )

    + " 60 , 40 , 85 , 30 , 85 , 45 , 80 , 80 , 55 , 50 , 60 + 60 , 80 , 85 ( 60 , 80 , 85 " + (* )

    + " 1 , 2 , 3 , 8 , 5 , 4 , 5 , 4 , 2 , 3 , 1 , 3 , 5 , 2 , 7 , 4 ,1

    + 1 , 2 , 3 , 4 , 5 ( * " 3 + (* )

    + Y

    R + = K "

    x 5 10 15 20 25 30 f 4 5 7 4 3 2

    43G x f f x 5 4 20

    10 5 50

    15 7 105

    20 4 80

    25 3 75

    30 2 60

    =25 =390

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 5

    = = = 15.6

    +

    = A + A #* " d = x - A

    + "

    x 5 10 15 20 25 30 f 4 5 7 4 3 2

    43G A = 15 # x f d= x -

    A

    f d

    5 4 - 10 - 40 10 5 - 5 - 25 15 7 0 0 20 4 5 20 25 3 10 30 30 2 15 30

    N = 25 =15

    = A + = 15 +

    = 15 +

    =

    =

    = 15 .6

    K "

    G 8 G w i 8 x i

    25 30

    3 12 30

    "L 8 70

    43G K = w1 x1 + w2 x2 w3 x3 + .w n xn w1 +w2+w3+wn

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 6

    = 25 x 30 + 12 x 30 + 8 x 70 25 + 12 + 8

    =

    = 37.11

    50 3 " "

    " 20 27 34 43 58 65 89

    3#

    "

    2 4 6 11 12 8 7

    43G

    " 3 T" G

    20 2 2

    27 4 ( 2+ 4 ) =6

    34 6 ( 6 + 6) = 12

    43 11 ( 12 + 11 ) = 23

    58 12 (23 +12 ) = 35 65 8 ( 35 +8 ) = 43

    89 7 ( 43 + 7 ) =50

    T" N = 50 =

    = 25

    * = 25 * # .

    25 * G T" 35 # *.

    3 58 .

    58

    # + # + W 8 T" R

    T" " G + G *

    # +

    + "

    K 250 300 350 400 450 500

    3#

    "

    10 15 16 12 11 13

    43G

    K 3#

    "

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 7

    250 10

    300 15

    350 16

    400 12

    450 11

    500 13

    " 8(* Q8 T" 16 .

    # 350 . # + 350

    G Y

    (* . # K +W

    . 360 0 * 08

    # G * .

    8 # G = #

    x 360 0

    # G 4

    G = #

    x 360 0

    ruhr gf g 1 ruhrUJ, midJ cWf yff TLbjhif a MF.

    mjhtJ, tu cWf x1,x2,x3 ...xn v,

    ( x1 - ) + ( x2 - ) + ( x3 - ) + + ( xn - ) = 0 cjhuzkhf, 6 , 8 , 9, 14, 13 vw tu ruhr 10. 10-UJ xbthU tu yff TLbjhif (6 -10) + (8 -10) + (9 -10) + (14 -10) + (13 -10) = -4 + ( -2) + ( -1) + 4 + 3 = -7 + 7 = 0 vdnt, ruhrUJ, midJ cWf yff TLbjhif a vd magLwJ. g 2

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 8

    xU tu cs xbthU vQlD, xU Fl khwhj v k I

    mfgjdh ilF a tu TL ruhr k mnj kh k ms mfF. 20 vf ruhr 59 vf. xbthU vQlD 3 I Todh, ilF vf ruhr vd?

    59 + 3 = 62

    g 3

    xU tu cs xbthU vUJ, xU Fl khwhj v k I

    Fiwgjdh ilF a tu TL ruhr k mnj kh k ms Fiw. 15 vf ruhr 44 vf. xbthU vUJ 7 I fjh, ilF vf ruhr vd?

    44 7 = 37

    g 4

    xU tu cs xbthU vQlD, xU Fl khwhj v k, (k 0) M bgUdh ilF a tu TL ruhr k mnj kh

    k M bgU ilwJ. 12 vf ruhr 48 vf. xbthU viz 4 M bgUdh, ilF vf ruhr vd?

    48 4 = 192

    g 5

    xU tu cs xbthU vQlD, xU Fl khwhj v k, (k 0) M tFjh ilF a tu TL ruhr k mnj kh k M tFf ilwJ. 16 vf ruhr 54 vf. xbthU viz 9 M tFjh, ilF vf ruhr vd?

    54 9 = 6

    1111.... Kj 10 a vf ruhr

    (A) 25 (B) 55 (C) 5.5 (D) 2.5

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 9

    + n "# =

    + 10 "# K =

    =

    = 5.5

    2222 .... 5 Kj 5 Koa cs KGf TLruhr

    (A) 3 (B) 0 (C) 25 (D) 10

    0 ) K 54 -3 -2-1+0+1+2+3+4 +5 =0 (

    3333 .... .x, x + 2, x + 4, x + 6, x + 8 vgt TLruhr 20 v, x- k (A) 32 (B ) 16 (C) 8 (D) 4

    20 ) = x + x + 2 + x + 4 + x + 6 + x + 8 / (5

    5 x +20 = 100

    5x = 80 x = 16

    4444 .... 5, 5, 5, 5, 5, 1, 2, 2, 3, 3, 3, 4, 4, 4, 4 vw tuf KfL

    (A) 2 (B) 3 (C) 4 (D) 5

    5 ) + (** (

    5555 .... 14, 12, 10, 9 , 11 vw tuf iliy ms

    (A) 11 (B ) 10 (C) 9 .5 (D) 10.5

    W 9 ,10 ,11 ,12 ,14

    11

    6666 .... 2, 7, 4, 8, 9, 1 vw tuf iliy ms

    (B) 6 (C) 5.5 (D) 7 W 1 ,2 ,4 ,7 ,8 ,9 )4+7 / (2 =5.5

    7777 .... Kj 5 KG vf ruhr

    (A) 2 (B) 2.5 (C) 3 (D) 0

    ) =0 +1+2+3+4 / (5 =2

    8888 .... 10 vf TLruhr 7. xbthU vQlD 5 I Todh ilF a TLruhr

    (A) 2 (B ) 12 (C) 7 (D) 17

    7 +5 =-2

    9999 .... 24- fhuf TLruhr

    (A) 8.5 (B) 5.67 (C) 7 (D) 7.5

    24 # 2,3,4,6,8,12

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 10

    =

    =!

    24 # 1,2,3,4,6,8,12,24

    =

    = =7.5

    10101010.... 5 vf TLruhr 20. mtUJ xU viz dh mt

    TLruhr 15 v, fgl v

    (A) 5 (B) 40 (C) 20 (D) 10 5 "# K 5)20 = (100

    4 "# K 4 )15 = (60 4 " =100 60 =40

    rahd ilia njbjLf. 1( 2, 3, 5, 7, 11, 13, 17, 19, 23 , 29 vw Kj 10 gfh vf R

    (A) 28 (B) 26 (C) 29 (D) 27 456 = 5 =29 2 =27

    2( bjhFYs tuf f a k 14.1 kW mtu R 28.4 v, bjhF f bga k

    (A) 42.5 (B) 43.5 (C) 42.4 (D) 42.1

    456 = 5

    28.4 = 14.1 =28 .4 +14.1 =42.5

    3. bjhFYs tuf fbga k 72 kW fa k 28 v,

    mbjhF R bfG (A) 44 (B) 0.72 (C) 0.44 (D) 0.28

    456W = 5 5 =#

    =0.44

    4 11 kf x = 132 v, mt TL ruhr (A) 11 (B) 12 (C) 14 (D) 13

    11 # K =132

    =

    =12 5. n cWf bfhl vj xU vf bjhFF (x - $%) =

    (A) x (B) x% (C) nx% (D) 0 [\

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 11

    1,3 ,5 8* =9 /3 =3

    X X - 1 3 -2

    3 3 0

    5 3 2

    'X ) 0 6. n cWf bfhl vj xU vf bjhFF ( x) - = (A) nx% (B) (n - 2)x * (C) (n - 1)x% (D) 0

    ( x) - = (x) - +,- . = /+,- #+,-

    . = +,-+ /#-

    . =(n -1 )

    = +,- . 7. x, y, z- l yf t v, x + 5, y + 5, z + 5- l yf

    (A) t 3 (B) t + 5 (C) t (D) x y z t

    8. xU tu lyf 1.6 v, mj yf tf ruhr (gutgo) (A) 0.4 (B) 2.56 (C) 1.96 (D) 0.04

    1.6 3 =1.6 x 1.6 = 2.56

    9. xU tu yf tf ruhr 12.25 v, mj l yf

    (A) 3.5 (B) 3 (C) 2.5 (D) 3.25

    3 = 12.25

    = 12.25 = 3.5

    10. Kj 11 a vf yf tf ruhr (A) 5 (B) 10 (C) 5 2 (D) 10

    "# = 5121 1 - / 12 = 10 0 =10

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 12

    11. 10, 10, 10, 10, 10- yf tf ruhr (A) 10 (B) 10 (C) 5 (D) 0

    [\ * " x - =0

    12. 14, 18, 22, 26, 30- yf tf ruhr 32 v, 28, 36, 44, 52, 60- yf tf ruhr

    (A) 64 (B) 128 (C) 32 2 (D) 32

    3 =32 = 32 2 32 3 =)2 32 ) 2 = 4 x 32 = 128

    08 "] 2 8 3

    13.) tuf bjhF x lyf 2 2 . mYs xbthU k 3 M bgUf ilF a tu bjhF lyf

    (A) 12 (B) 4 2 (C) 6 2 (D) 9 2

    2 2 x 3 =6 2 14. ( x - ) 2 = 48, = 20 kW n = 12 v, khWghL bfG

    (A) 25 (B) 20 (C) 30 (D) 10

    ( x - ) 2 = 48 ( x - ) 2 / n = 4 = =4

    = = 4 =2 20

    W = x 100 = = 10

  • R.SIVA M.Sc ., B.Ed ., B.T Asst 8015118094 TNTET MATHEMATICS PAPER I & PAPER II

    - Page 13

    15. y tuf TL ruhr kW lyf Kiwna 48, 12 v, khWghLbfG

    (A) 42 (B) 25 (C) 28 (D) 48

    =12

    =48

    W =

    x 100 =

    = 25