3472-1 skema mt trial sbp spm 2013

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  • 7/29/2019 3472-1 Skema Mt Trial SBP Spm 2013

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    3472/1

    Matematik

    Tambahan

    Kertas 1

    2 jamOgos 2013

    BAHAGIAN PENGURUSAN

    SEKOLAH BERASRAMA PENUH DAN SEKOLAH KECEMERLANGAN

    KEMENTERIAN PENDIDIKAN MALAYSIA

    PENTAKSIRAN DIAGNOSTIK AKADEMIK SBP 2013

    PERCUBAAN SIJIL PELAJARAN MALAYSIA

    ADDITIONAL MATHEMATICS

    Paper 1

    Skema Pemarkahan ini mengandungi 6 halaman bercetak

    MARKING SCHEME

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    PERATURAN PEMARKAHAN- KERTAS 1

    No. Solution and Mark SchemeSub

    Marks

    Total

    Marks

    1(a) 4

    ( )2xf x

    1

    1

    2

    2 3

    4n

    3 3

    B2 :3 1 2

    7

    nn

    OR 7 2 3 1n n

    B1 : 12

    ( )7

    xg x

    OR ( ) 3 1g n n

    3 7 18p and q B2 : 7 18p or q

    B1 : ( 3) 3p px

    3 3

    4

    2

    1and 10

    5

    1B2: or 10

    5

    2 1B1: 2 or 2 OR 5(2) ( 1)(2) 2 0

    5 5

    m n

    m n

    nm m n

    2OR 5 5(2 ) 10 0x m x m

    3 3

    5

    4

    9q

    B2: 0)3)(3(4)3( 2 q

    B1: 23 3 3 0x x q

    3 3

    3

    29

    B1 : 25 7 (0 3)m

    (3,7)

    1

    2

    1

    4

    (b)

    (b)

    (c)

    6(a)

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    7 2

    2 : 35 (5 100) 1x OR1

    525

    x

    1 : 35 5 1 100(5 )x x

    3 3

    8 9

    4x

    B3 : 22

    9 18 3x

    x x ORx

    B2 :3 3 3

    2log 9( 2) log log 2

    xx x OR

    x

    B1 : 3

    3

    log(accept any base)

    log 9

    x

    4 4

    9 4

    B2 : 6m

    B1 : (2 1) ( 3) ( 3) ( 1)m m m m or equivalent

    3 3

    1or 0.2

    5r

    B2 : (5 1)(5 6) 0r r

    B1 : 26

    25ar ar a or equivalent

    25or 12.5

    2

    3 4

    11 19,23,27,31

    B3 : 8n or 11n OR 19 or 31

    B2 : 1 2 3 100n n n nT T T T OR

    1 2 3 100n n n nT T T T

    B1 : 4d

    4 4

    (b)

    10(a)

    1

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    4

    12

    2

    5 and 4

    B2 : 5 or 4

    B1 : 8

    s t

    s t

    yx

    x

    3 3

    13 (a) 52

    (b) 3 6 or equivalent2

    y x

    B1 :3

    2ABm

    1

    2

    3

    14 7 and 13p p

    B2 : 7 OR 13p p

    B1 : 2 6 20 or 2 6 20p p

    3 3

    15

    (a) 7, 6C

    B1 : 4 1

    2 OR 2 4 2 22 2

    OC OC i j i j

    (b) 85 or 9.220

    2 3

    16 2 and 6p q

    B2 : 2 or 6p q

    B1 : 2 0 or 4 0p p q

    3 3

    17(a) 1.117 rad

    2.728 cm2

    B2 : 2 2 21 1 1

    5 1.117 sin 64 OR 5 1.117 5 sin 642 2 2

    B1 : 2 21 1

    5 1.117 or 5 sin 642 2

    1 4

    1

    3(b)

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    5

    18 0 ,60 ,180

    B2 : sin 2cos 1 0x x

    B1 : 2sin cos sinx x x

    3 3

    19 (2,1)

    B2 : 2 5 2 2 4x

    B1 : 1 22 5 2 2 or 4 (use 1)x m m m

    33

    20 3

    B2 : 1 13 m

    B1 :1

    or or 3 3

    dy du dy mm

    du dx dx

    3 3

    21 3

    B2 :5

    1[ ] 10 2mx

    B1 :5 5

    1 1

    ( ) 2 10m dx k x dx or

    3 3

    22(a)

    (b)

    315

    B1 :2

    29 (6)7

    x

    2 3

    23(a)

    (b)

    252

    48

    B1 : 4! 2!

    1

    2

    3

    81 1

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    24(a)

    (b)

    2

    9

    B1 :1 20

    3 30

    2

    5

    B1 :2 13 1 10

    or3 30 3 30

    2 4

    25 6

    B2 :

    0

    0

    1 1 1

    2 2 64

    n

    nC

    B1 : 1 ( 0)P x

    3 3

    2