SPM Trial 2010 Math Ans (Pahang)

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  • 8/8/2019 SPM Trial 2010 Math Ans (Pahang)

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    PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH MENENGAH

    NEGERI PAHANG 2010

    PEPERIKSAAN PERCUBAAN SPM 2010

    Mathematics Paper 1Marking scheme

    NO Key NO Key

    1 C 21 D

    2 D 22 C

    3 A 23 D

    4 B 24 A

    5 C 25 C

    6 C 26 A

    7 A 27 D

    8 B 28 B9 C 29 A

    10 A 30 A

    11 A 31 C

    12 C 32 B

    13 B 33 B

    14 C 34 D

    15 C 35 C

    16 B 36 C

    17 C 37 B

    18 A 38 B

    19 C 39 A20 B 40 A

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    SULIT 1449/2

    1449/2

    Matematik

    Kertas2

    Peraturan

    Pemarkahan

    September

    2010

    PEPERIKSAAN BERSAMA SEKOLAH-SEKOLAH

    NEGERI PAHANG 2010

    PEPERIKSAAN PERCUBAAN SPM 2010

    MATEMATIK

    Kertas 2

    PERATURAN PEMARKAHAN

    Peraturan pemarkahan ini mengandungi 12 halaman.

    [Lihat sebelah

    1449/2 SULIT

    Jumlah Markah =1 2

    100%140

    Kertas Kertas

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    2

    Section A[ 52 marks ]

    No Marking Scheme Marks

    1a.

    b.

    P1

    P2 3

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    3

    No Marking Scheme Marks

    2 (a) 121063

    1

    240

    (b) 8401210121063

    1 GC

    GC = 5

    K1

    N1

    K1

    N1 4

    3 Identify EAD orDAE or angle marked on the diagramcorrectly

    tan EAD =12

    3 orequivalent

    14.04o or 14o 2

    P1

    K2

    N1 4

    4 (a) False

    (b) Implication 1: If m >n then m 3 > n 3

    Implication 2 : if m 3 > n 3 then m >n

    (c) Conclusion : 4n + n3 , where n = 1,2,3,4, ..

    P1

    P1

    P1

    P1P1 5

    5 2x + 3y = 6 or x 4

    1 y = 4 or equivalent

    7y = 28

    y = 4x = 3

    K1

    K1

    N1N1 4

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    4

    No Marking Scheme Marks

    6 (a) y= 4

    (b) Gradient of JK=2

    1 or the gradient being used

    c )5(213

    or

    21

    )5()3( x

    y

    2

    1

    2

    1 xy or equivalent

    yintercept =2

    1

    P1

    P1

    K1

    N1

    P1 5

    7 01032 xx

    0)2)(53( xx

    2x

    3

    5x or

    67.1x

    K1

    K1

    N1

    N1 4

    8 p =3 , k = 10

    1 3 6

    2 4 3

    m

    n

    4 3 61

    2 1 34 6

    m

    n

    3

    2

    3

    2

    m

    n

    m =3

    2 , n =

    3

    2

    Notes:

    1.

    3

    2

    3

    2

    m

    n

    : N1

    2. Solution without using matrices method cannot be accepted.

    P1P1

    P1

    K1

    N1,N1

    6

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    6

    Section B

    [48marks]

    No Marking Scheme Marks

    12(a)

    (b)

    (c)

    (d)

    8

    -16

    Graph

    Axes are drawn in the correct direction, uniform scale for

    4 x 4 and 24 y 24

    7 points and 2 points* plotted accurately

    Smooth and continuous curve without straight line(s) andpasses through all the 9 correct points for 4 x 4

    Notes : (1) 7 or 8 points plotted correctly, award K1

    (2) Other scale being used, subtract 1 mark from theKN marks obtained.

    -8.0 < y< -9.0

    1.8 < x< 1.9

    Note : Do not accept the values of xand yobtained bycalculation

    Identify the equation y= -2x+1 or equivalentThe straight line y= -2x+1 drawn correctly

    The values of x : 3.6 < x< 3.7

    -3.3 < x< -3.1Notes :

    (1) Award N mark(s) if the value(s) of x shown on the graph(2) Do not accept the value(s) of xobtained by calculation

    K1

    K1

    K1

    K2

    N1

    P1

    P1

    K1K1

    N1

    N1 12

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    7

    No Marking Scheme Marks

    13(a)

    (b)

    i) (1 , 8)Notes:

    1. (2, 6) : P1

    2. Accept answers without bracket.

    ii) (7 , 5)

    Notes:

    1. (8, 3) : P1

    2. Accept answers without bracket.

    i) (a) V : Enlargement with scale factor21 centered at point (1, 2).

    (b) W : Reflection in the line 3x

    Notes:

    1. Enlargement, scale factor2

    1or

    Enlargemant at point (1, 2).: P2

    2. Enlargement only : P13. Reflection only : P1

    ii) 22 20.4 orequivalent

    22 20.4 20.4

    61.2

    P2

    P2

    P3

    P2

    K1

    K1

    N1 12

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    8

    No Marking Scheme Marks

    14(a)

    (b)

    (c)

    MarksUpper

    Boundary FrequencyCumulativeFrequency

    6 - 10 10.5 0 0

    11 - 15 15.5 1 116 - 20 20.5 3 421 - 25 25.5 6 1026 - 30 30.5 10 2031 - 35 35.5 11 3136 - 40 40.5 7 3841 - 45 45.5 2 40

    Column I (all class interval correct)

    Column II (all upper boundary correct)

    Column III (all frequency correct)

    Column IV(all cumulative frequency correct)

    Note: Allow two mistakes in column III for P1

    Ogive

    Axes are drawn in the correct direction, uniform scale for

    10.5 x 45.5 and 0 y 40

    The horizontal axis labeled with upper boundary or

    use the values of upper boundary for plotting

    Plot 7 points*

    Smooth and continuous curve without straight line(s) and

    passes through all the 8 correct points for 20.5 x 55.5.

    Notes: (1) 5 or 6 points* plotted correctly, award K1

    (2) Mark(s) for plotting can be given to a curve whichpasses through 7 points* and point (10.5, 0)

    (3) Other scale being used, subtract 1 mark from theKN marks obtained.First Quartile = 25.5 or Third Quartile = 35 0.5

    Interquartile range = 35 25.5= 9.5 0.5

    P1

    P1

    P1

    P1

    K1

    K1

    K2

    N1

    K1

    K1N1 12

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    9

    No Marking Scheme Marks

    15 (a)

    Correct shape with rectangles VUKJ and GKMB.All solid lines.Note:Ignore straight line JR

    J and R joined with dashed line to form rectangle JRBG

    GJ = VU = KM > UK

    The measurement is accurate to 0.2 cm. (one way ) and theangles at all verticals of the rectangle are 90 1

    K1

    K1

    K1

    N1

    U

    K

    RMB

    G J

    V

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    10

    No Marking Scheme Marks

    (b)

    (i)

    Correct shape with rectangles ADEF and IULF.All solid lines.

    Semicircle VSU drawn

    FL> UL > DE=AD

    The measurement is accurate to 0.2 cm. (one way ) and theangles at all verticals of the rectangle are 90 1

    K1

    K1

    K1

    N1

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    11

    No Marking Scheme Marks

    (ii)

    Correct shape with rectangles USTN, NKLM and EFLH.All solid lines.Note:Ignore straight line HC

    H and C joined with dashed line to form rectangle HLMC

    ST = TM > LM > LF > FE = HK =US

    The measurement is accurate to 0.2 cm. (one way ) and theangles at all verticals of the rectangle are 90 1

    K1

    K1

    K1

    N1 12

    U S

    C NM

    L

    F E

    T

    KH

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    12

    No Marking Scheme Marks

    16.

    (a)

    (i)

    (ii)

    (b)

    (c)

    (d)

    750N

    C(750N, 300E)750N or 300E : P1

    30 x 601800 n.m.

    20x60xcos 750 : Award K1 for using cos 630310.58 n.m.

    (75x2)x609000

    310.58 + 9000

    9310.58

    10

    58.9310

    931.058

    P1

    P2

    K1N1

    K1K1N1

    K1

    K1

    K1

    N1 12

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    13

    Graph for number 12

    Graph for number 14

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    14

    Graph for number 14

    0

    5

    10

    15

    20

    25

    30

    35

    40

    15.5 20.5 25.5 30.5 35.5 40.5 45.510.5

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