Soalan Ulangkaji SPM Maths TIMES 2010 Answer

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    SOALAN ULANGKJI SPM 2011

    JAWA

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    Mathematic

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    Mathematic Paper 1

    No Ans No Ans No Ans No Ans No Ans

    1 B 11 C 21 A 31 D 41

    2 D 12 B 22 B 32 D 42

    3 A 13 C 23 D 33 B 43

    4 C 14 A 24 A 34 D 445 C 15 C 25 D 35 A 45

    6 B 16 B 26 A 36 C 46

    7 B 17 C 27 B 37 B 47

    8 C 18 D 28 B 38 C 48

    9 A 19 A 29 C 39 B 49

    10 C 20 D 30 D 40 D 50

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    Mathematic Paper 2

    No

    1

    i) ii)

    (i) 1 M

    (ii) 2 M

    3

    2

    1 M1 M

    1 M 1M

    4

    3

    1 M

    1 M

    1 M

    1 M

    4

    4

    / FBA or / ECD

    / FBA = 22o 37 or 22.62o

    1 M

    1 M

    1 M

    3

    5(a) True(b) KLMN has no wo parallel sides(c) 2n2 + 5, n = 1, 2, 3, 4

    1 M1 M1 M2 M

    5

    6

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    1 M

    1 M

    1 M

    1 M

    1 M

    5

    8

    1 M

    1 M

    1 M

    1 M

    1 M

    1 M

    6

    9

    1 M

    1 M

    1 M

    1 M

    1 M

    1 M

    6

    10

    1 M

    2 M

    2 M1 M

    6

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    11

    (a) S = {(E, 2), (E, 5), (E, 8), (H, 2), (H, 5), (H, 8), (U, 2), (U, 5), (U, 8)}A = {(H, 2), (H, 8)}

    = 2/9

    (b) B = {(E, 2), (E, 5), (E, 8), (U, 2), (U, 5), (U, 8), (H, 2), (H, 5)}= 8/9

    1 M1 M1 M

    2 M1 M

    6

    12

    (a) 515

    (b) Uniform scalesAll 9 poins ploted correcly .Smooh curve and passed all 9 correc poins .

    Refer o he graph.(c) x = 14.9 0.1

    y = 3.6 0.5

    (d) y = 2x + 3Sraigh line y = 2x + 3 drawnx = 3.2 0.1 , -0.2 0.1, 3.4 0.1

    1 M1 M

    1 M2 M1 M

    1 M1 M

    1 M1 M2 M

    12

    13

    (a) (i) (1 , 4)(ii) (1 , 0)

    (b) (i) K : Clockwise roaion of 90o abau he cenre P(ii) W :enlargemen a cenre P and scale facor 3

    (c) 171 = 32 Area of KLMNPArea of KLMNP = (171/9) cm2

    = 19 cm2

    1 M2 M

    3 M3 M

    1 M1 M1 M

    14

    a)Time Frequency Mid poin

    40 44 2 4245 49 12 4750 54 8 5255 59 6 5760 64 8 6265 69 3 6770 74 1 72

    (b) (i) 45 - 492(42)+12(47)+8(52)+6(57)+8(62)+3(67)+1(72)

    2+12+8+6+8+3+1= 54.375

    (c) Uniform scale on the x-axis and on the y axis 7 points ploing corecctly ploing (37, 0) and (77, 0) all lines completely drawn correctly

    frequency polygon refer o he graph.

    2 M1 M

    1 M2 M

    1 M

    1 M2 M1 M1 M

    (i) all frequency correc(ii) all mid-poin correc

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    a)

    Correc shape wih recangle CJKD and square BHJC. All solid lines.BH=HJ < KJCorrec mesuremen 0.2

    b)

    Correc shape wih recangle, square and half circle .DC > ED = PECorrec mesuremen 0.2

    1 M1 M1 M

    1 M1 M2 M

    12

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    Correc shape wih penagon ABCDE and renangle ABQP.PE = ED = BC < AE = CQ < ABCorrec mesuremen 0.2

    1 M1 M2 M

    16

    (b) (43oN , 130oW)

    (c) (180 2 43) 605640 n.m.

    (d) (i) 180 60 cos 437898.62 n.m.

    (ii) 7868.62 + (86x60)90O

    14.51 hrs

    12

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    Graph for Quesion 14

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    Graph for Quesion 14