skema k12 n9-mm-2014 -dw

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  • PROGRAM PENINGKATAN AKADEMIK TINGKATAN LIMA SEKOLAH-SEKOLAH MENENGAH NEGERI SEMBILAN 2014

    MATEMATIK Kertas 1

    1. D 11. D 21. D 31. B

    2. B 12. A 22. A 32. A

    3. B 13. C 23. D 33. B

    4. C 14. D 24. C 34. C

    5. C 15. C 25.B 35. A

    6. B 16. C 26. B 36. D

    7. C 17. D 27.B 37. D

    8. A 18. D 28. A 38. B

    9. C 19. C 29.C 39. A

    10.D 20. A 30. C 40. A

  • ----------------------------------------------------------------

    2014

    1449/2 Matematik Kertas 2

    MAJLIS PENGETUA SEKOLAH MENENGAH MALAYSIA

    CAWANGAN NEGERI SEMBILAN

    PROGRAM PENINGKATAN AKADEMIK TINGKAT AN LIMA

    SEKOLAH-SEKOLAH MENENGAH NEGERI SEMBILAN 2014

    MATEMATIK

    Kertas2

    PERATURAN PEMARKAHAN

  • 3

    No Markin Scheme Marks

    1 (a)

    PI

    (b) P2

    3

    2 (a) L WPR or L RPW

    7 tan e= - or equivalent (b) 13

    3x2 + I3x + 10 = 0

    ( 3x + 10) ( x + 1) = 0

    -10 x=- , x=-1

    3

    3x- 12y =12 or 2x -8y=8 14y=-2 or --x=2 2

    x=2 -1 y=2

    PI

    Kl

    Nl

    3

    Kl

    KI

    NI Nl

    4

    Kl

    Kl

    Nl

    Nl 4

    4

    2

  • 5 I

    6 (a)

    (b)I

    I

    (c)

    7 (a)

    (b)

    !

    22 - x 0.6 x 0.6 x 0.3

    (-x 0.6 x 0.6xO.3)- (-x-xO.6xO.6xO.3)

    7

    70 - x

    22 - xO.6 xO.6xO.3

    100 7

    22 70 22 7 100 7

    0.10

    False

    If q3 =-27 then q =,-3 If q = -3 then q3 =-27

    (7 -2) x 1800

    9000

    k= 18

    28 = -x3+c or c=6 3

    2 Y=- x + 6

    3

    2 -2 0= -x + 6 or -x=6

    3 3

    x -intercept = - 9

    K1

    K1

    Kl

    N1

    4

    PI

    KI Xl

    Kl

    Nl o '

    5

    Kl

    KIKI

    Nl

    Kl

    Nl

    6

    3

  • --

    II

    10 ( t - 20) = 1208 (a) Kl

    t = 32 s Nl

    (b) I 10 -0 Kl 20 - 0

    1 -I N1-ms 2 I

    1 1(c) (- x 10 x20) + 120 +- (10 + 25) 18 K1

    535 m

    2 2

    N1

    .

    - ' 6

    42 22 Kl13 8 x 2 x 22 x14 or --x2x-x79 (a) 360 7 360 0 7

    ."

    I 42 22~38 x 2 x 22 x14 K1+ (-~x2x-x 7) +7+14+7i

    I 360 7 360 7

    I Nl

    66~ 15

    Kl (b)

    13 8 x 22 x 14 x 14 or 42 22 7 x7 --x-x 360 7 360 7

    K1138 22 180 22 42 22

    -- x -x14x14 - (-x-x7x7) + -x-x7x7 360 7 360 7 360 7

    N1 177-1 or 177.099

    10

    6

    ,

    4

  • 10 (a)

    s = { 12, 13, 14,15,21,23,24,25,31,32,34,35,41,42,43,45,51,52, 53,54 }

    (b) (i) {12,14,21,23,25,32,34,41,43,45,52,54}

    11 (a)

    (b)

    12 3 -=

    20 5

    (ii) {21, 25, 31, 32,41,42,.43, 51,52,53,54}

    11 20

    s = 1 t = 2

    [~ =~J CJ = [;J ( ; ) = 1 (-3 2fJ 5x(-3)-(-2x6) -6 5 3 x = 2

    Y = 3

    PI

    Kl

    Nl

    Kl

    Nl

    5

    PI PI

    PI

    Kl

    Nl

    Nl

    6

    5

  • 12 (a)

    (b)

    (c) (i)

    (ii)

    (d)

    x -2 2

    9 I 0.:7: I -7 Graph (Refer graph on Lampiran 1 )

    Axes drawn in the correct directions with uniform scales for -3::;x::;3 and -26::;y::;28

    All 8 points and *2 points correctly plotted or curve passes through aU the points for -3 ::;x ::; 3 and -26::;y::; 28

    A smooth and continuous curve without any straight line and passes through all 10 correct points using the given scale for -3 ::; x::; 3 and -26::; Y ::; 28

    Notes:

    1. 8 or 9 points correctly plotted, award K1

    2. Ignore curve out of range

    y = 4.4 0.1

    x = - 2.3 0.1

    Draw the straight line y = -5x

    Shaded region correctly

    K1K1K1

    PI

    I K2

    N1

    PI

    PI

    K1

    N2

    12

    6

  • 13 (a) ---7(7,5 ) (2,3 ) ---7 (-3,1) P2(i} T T

    P2(7,5 ) It (9,1) r (4, -1)(ii)

    P2(a) V : Reflection in the line BE(b) (i) P3(b) W : Enlargement of scale factor 3 with centre P

    Area ofan image =3 2 x 35 K1(ii)

    K1Area OfThe Shaded Region = (3 2 x 35)- 35 .

    I 'Nl280

    I

    ."

    12

    7

  • 14 (aJ

    I

    I

    Class interval

    Selang kelas (umurJ

    Frequency

    Kekerapan

    Midpoint

    Titik tengah

    21 -30 3 25.5

    31 -40 5 35.5

    41 - 50 6 45 .5

    51 - 60 9 55.5

    61 -70 7 65.5

    71- 80 6 75.5

    81 -90 4 85.5 PIP2PI

    (b)

    (c)

    (d)

    Note:

    Allow two mistakes in frequency for PI

    3x25.S+Sx3S.5+6x4S.S+"9xSS.S+7x6S.S+"6x7S.5+4x8S.S K2 3+ 5 + 6+ 9+ 7 + 6 + " 4

    2280 or -

    40

    57 year Nl

    Histogram (Refer graph on Lampiran 2)

    Axes are drawn in the correct direction, uniform scale for PI 20.5::; x ::;90.5 and 0::; y::; 10

    Horizontal axis is labelled using midpoint! upper boundary and K2 "7 bars drawn correctly using mid point/upper boundry.

    Note: "5 or 6 bars drawn correctly, award Kl

    Correct histogram using the given scale for 20.5 ~ x ~ 90.5 Nl

    17 outpatients Nl

    12

    8

  • 15 (a)

    (b) (i)

    Q IK r--~__~_-,R I L

    I

    SIMP I N --------KL= NM

    The measurement is accurate to 0.2 cm (one way) and the angles at all vertices of the rectangles are 90 1.

    SIR

    I

    BIC

    P I Q

    N I K MIL

    Correct shape with trapeziums PS.MN and triangle BAM All solid lines

    MS = MA > MB > NP

    Measurements correct to 0.2 em (one way) and

    LN ,LM ::: 90 1

    Kl

    Kl

    Nl

    A /~

    Kl

    Kl

    N2

    9

  • --------------------------

    IS(b) Oi)

    SR

    C B I

    PQ

    'I

    K/UD NIMIA .

    KlCorrect shape two rectangles KLPS and SPQR

    Note: "

    KICB joined with dotted line.

    KIRL=SM>CB > CL = BM>QD = PN

    N2Measurement correct to 0.2 cm. (one way) and all angles at vertices of rectangles is 90 1.

    !

    12

    10

  • 16

    . '

    (a) (i)

    (ii)

    (b)

    (c) (i)

    (ii)

    (55 0 N, 65 E)

    70 x 60

    4200 nautical miles

    Bx60=6000

    100 - 55

    45 oS.

    115 - 85 .

    (115 - 85) x60 cos 55

    1032.44 nautical miles

    1032.44 + 6000 690= or

    t

    10.l9 hours

    1032.44 +6000

    690

    I

    P1P1

    K1

    N1

    K1

    K1

    N1

    K1 -

    Kl

    N1

    ,.

    K1

    N1

    12

    11

  • Lampiran 1 Graph for Question 12

    12

  • Graph for Question 14

    Lampiran 2

    I I