skema jawapan percubaan pmr maths 2010 sarawak

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    JABATAN PELAJARAN SARAWAK

    PEPERIKSAAN PERCUBAAN PMR 2010

    Answers For Mathematics Paper 1

    Question Answer Question Answer

    1 C 21 B

    2 A 22 C

    3 B 23 A

    4 B 24 C

    5 B 25 C

    6 C 26 D

    7 D 27 C

    8 B 28 D

    9 B 29 B

    10 A 30 D

    11 B 31 D

    12 C 32 D

    13 A 33 A

    14 B 34 C

    15 B 35 C

    16 A 36 A

    17 D 37 A

    18 A 38 D

    19 B 39 D

    20 D 40 A

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    JABATAN PELAJARAN SARAWAK

    PEPERIKSAAN PERCUBAAN PMR 2010

    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    1 9 1 1

    14 5 4

    9 4 514 20 20

    9 9

    14 20

    9 20

    14 9

    10=

    14

    10=

    7

    3=1

    7

    +

    = +

    =

    =

    1

    1

    1 3

    2 7.38

    0.2 0.3

    7.38

    0.06

    738

    6

    123

    =

    =

    =

    1

    1 2

    3 (a) 0.493

    2

    3

    3

    1( ) 2

    8

    14

    8

    1

    2

    18

    b

    =

    =

    =

    1

    1

    1 3

    Note :

    See

    4 5

    20

    +

    or

    9

    20 award 1 mark

    Note:

    See 0.06 or738

    6award 1 mark

    Note:

    see1

    2, award 1 mark

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    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    48 2

    5

    2 8 5

    40

    2

    20

    PR

    PR=

    PR=

    PR

    =

    =

    1

    1 2

    5(a)

    5

    12

    5 13

    6

    13 5 6

    30

    13

    42

    13

    bDE

    DE =

    DE =

    DE

    ( ) =

    =

    1

    1

    1 3

    6 (a) 90o clockwise direction 2

    1 3

    Note : Also accept

    PR = 4 5}PR=20

    1 mark8 2 = 4

    1 mark

    Note:

    Also accept 2.3 .

    (b) The point Kplotted correctly.

    K

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    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    7 (a)

    S as seen or any 2 or 3 intersecting lines at S

    (b) (10,10 )

    1

    1 2

    8 (a) 3p + 6

    (b) 4 ( 2p 3 ) + (p 2 )

    = 8p 12 + (p 2 ) ( p 2 )

    = 8p 12 + p 2 2p 2 p + 4 or 8p 12 + p 2 4p + 4

    = p2 + 4 p 8

    1

    1

    1 3

    9 (a) 6 ( 3 2t)

    (b) 3 ( 25p2

    4 )

    = 3 ( 5p + 2 )( 5p 2 )

    1

    1

    1 3

    R Q

    CB

    AP

    0x

    108642

    2

    4

    6

    8

    10

    y

    S

    Note :

    See 8p 12 or p2

    4p + 4 award 1 mark

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    Question Scheme Marks

    10

    1

    1

    1

    1 4

    11 (a) 70o 1o

    (b)

    30A

    B

    C

    1

    1

    1

    1

    1 5

    Construct a 30o

    angle atA correctly

    Construct point Ccorrectly.

    Construct the triangleABCcorrectly..

    Construct the perpendicular line BD fromB toACcorrectly.

    BD = 3.0 ( 0.1) cm

    J

    N R

    M

    S

    L

    T

    K

    P

    Q

    (a) The straight line PN(b) (i) Locus Ydrawn

    Correctly(ii) LocusZdrawn

    Correctly

    (c) Intersection of locus YandlocusZmarked correctly ( )

    locus Y

    locus Z

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    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    12 4 1

    3 12

    4( 4) (1)

    12

    x

    xy y

    x x

    xy

    +

    + =

    =

    4 16

    12

    x x

    xy

    +

    =3 16

    12

    x

    xy

    +

    or

    12 ( 4) 3 (1)

    3 (12 )

    y x xy

    xy y

    +

    =2

    12 48 3

    36

    xy y xy

    xy

    +

    =2

    9 48

    36

    xy y

    xy

    =2

    3 ( 3 16 )

    36

    y x

    xy

    =3 16

    12

    x

    xy

    +

    1

    1

    1 3

    13

    + =

    = +

    + =

    =

    =

    q

    pp q

    q p

    q p

    q p

    3

    2 22 4 3

    3 2 4

    2 3 4

    2 7

    1

    11

    3

    14 (a)x 2 = 3x = 2 3

    x = 11

    1

    1 3

    Note : See 2p 4 award 1 mark

    1 mark

    1 mark

    1 mark

    4b 23

    3 6 4

    3 6 4

    2 10

    x+x =

    x =x+

    x x

    x

    x=5

    = +

    =

    ( )

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    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    15 (a) 8k9

    5 3

    4

    5 3 4

    5 3 4

    6

    b bb

    b

    b

    b

    b

    ( ) ( )

    ( )

    +

    +

    =

    =

    =

    1

    1

    1 3

    16(a)

    1

    2

    (b) 3n+1

    = 81

    3n+1

    = 34

    Hence,n+1 = 4

    n = 4 1

    n = 3

    1

    1

    1

    3

    17 4 1 7y 4 7 1y +

    4 8y

    8

    4

    y

    2y

    y = 2 , 4 , 6 , 8

    1

    2 3

    18

    2

    2

    Note :

    Any three integers correct, award 1 mark

    Image draw correctly

    Note :

    3 or 4 sides drawn

    correctly, award 1

    mark

    c m c m

    c m c m

    c m c m

    11 2 0 0 6

    2 0 0

    14 0 0 2

    2 0 0

    18 0 0 4

    2 0 0

    =

    =

    =

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    Marking Scheme For Mathematics Paper 2

    Question Scheme Marks

    19

    1

    1

    1 3

    20 The y-axis is drawn with the correct scales.

    All the points plotted correctly.

    The curve is drawn correctly. ( Passing through all the points )

    1

    2

    1 4

    Note :

    5 or 6 points plotted correctly, award 1 mark

    (a) 2x = 120 5 20 30 25 or 80 + 2x = 120

    2x = 40

    x = 40

    2

    x = 20

    (b)20

    360120

    = 60o

    (c) Reading

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    Answer for question 20

    y

    -2-3 x0 2 31

    5

    5

    10

    15

    20

    25

    30

    35

    -1