mathematics paper 2(set1)

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  • 8/9/2019 Mathematics Paper 2(SET1)

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    MATHEMATICAL FORMULAE RUMUS MATEMATIK

    The following formulae may be helpful in answering the questions. The symbols given are

    the ones commonly used. Rumus-rumus berikut boleh membantu anda menjawab soalan. Simbol-simbol yang diberiadalah yang biasa digunakan.

    RELATIONS PERKAITAN

    1 a m a n = a m + n

    2 a m a n = a m n

    3 (am)n = a m n

    4 Distance / jarak = 2122

    12 )()( y y x x +

    5 Mid Point / Titik Tengah

    (x , y) =2

    21 x x + ,2

    21 y y +

    6 Average Speed =

    Purata laju =

    7 Mean =Min =

    8 Pythagoras Theorem / Teorem Pithagoras

    c2 = a 2 + b2

    jarak yang dilalui masamasa yang diambil

    distance travelledtime taken

    sum of datanumber of data

    hasil tambah nilai databilangan data

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    SHAPES AND SPACE BENTUK DAN RUANG

    1 Area of rectangle = length width Luas segiempat tepat = panjang lebar

    2 Area of triangle =2

    1 base height

    Luas segitiga =2

    1 tapak tinggi

    3 Area of parallelogram = base heightLuas segiempat selari = tapak tinggi

    4 Area of trapezium =2

    1 sum of parallel side height

    Luas trapezium =2

    1 hasil tambah dus sisi selari tinggi

    5 Circumference of circle = d = 2 r Lilitan bulatan = d = 2 j

    6 Area of circle = r 2

    Luas bulatan = j2

    7 Curved surface area of cylinder = 2 rh

    Luas permukaan melengkung silinder = 2

    jt

    8 Surface area of sphere = 4 r 2

    Luas permukaan sfera = 4 j2

    9 Volume of right prism = cross sectional area length Isipadu prisma tegak = luas keratan rentas panjang

    10 Volume of cuboid = length width height Isipadu kuboid = panjang lebar tinggi

    11 Volume of cylinder = r 2

    h Isipadu silinder = j2t

    12 Volume of cone =3

    1r 2h

    Isipadu kon =3

    1 j2t

    13 Volume of sphere = 34

    r 3

    50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]

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    Isipadu sfera =3

    4 j3

    14 Volume of right pyramid =3

    1 base area height

    Isipadu pyramid tegak = 31

    luas tapak tinggi

    15 Sum of interior angles of a polygon = ( n 2) 180 Hasil tambah sudut pedalaman poligon = (n 2) 180

    16 =

    =

    17. =

    =

    18. Scale factor / Faktor skala, k =

    19. Area of image = k 2 area of object Luas imej = k 2 luas objek

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    Area of sector Area of circle

    Arc lengthCircumference

    Angle subtended at centre360

    PA PA

    Angle subtended at centre360

    Panjang lengkok Lilitan bulatan

    Sudut pusat

    360

    Luas sektor Luas bulatan

    Sudut pusat

    360

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    Answer all questions.Jawab semua soalan For

    ExaminersUse

    1 Calculate the value of 5

    23)

    3

    2+

    5

    31( and express the answer as a fraction in

    its lowest term .

    Hitung nilai bagi 52

    3)32

    +53

    1( dan nyatakan jawapan itu sebagai satu

    pecahan dalam bentuk teringkas. [2 marks ]

    [2 markah ]Answer / Jawapan:

    2 Calculate the value of 501

    -103

    (+6.0 ) and express the answer as decimal.

    Hitung nilai bagi 501

    -103

    (+6.0 ) dan nyatakan jawapan itu sebagai nombor

    perpuluhan.

    [2 marks ] [2 markah ]

    Answer / Jawapan:

    50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]

    2

    1

    2

    2

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    5 SULIT 50/2

    3 a) Find the value of 3 000125.0 Cari nlai bagi 3 000125.0

    b) Calculate the value of )3-144(+4 23

    Kira nlai bagi [3 marks ] [3 markah ]

    Answer / Jawapan:

    4 a) Solve each of the following equations:Selesaikan tiap-tiap persamaan berikut

    a) 2p = -49 5 p

    b) 7=5

    2+3 x

    [3 marks ] [3 markah

    Answer / Jawapan:

    50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]

    3

    4

    3

    3

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    5. Diagram 1 in the answer space shows that B is the image of A under areflection in the line MN..

    Rajah 1 di ruang jawapan menunjukkan B adalah imej bagi A di bawah satu pantulan pada garis MN.

    Draw the line MN Lukiskan garis MN tersebut

    [2 marks ]

    [2markah

    Diagram 1Rajah 1

    6. Diagram 2 shows two polygons , P and P , drawn on a grid of equal squareswith sides of 1 unit.

    Rajah 2 menunjukkan dua poligon, M dan M , yang dilukis pada grid segiempat sama bersisi 1 unit.

    For Examiners

    Use

    B

    A

    2

    5

    3

    5

    2

    8

    P

    P

    Diagram 2 Rajah 2 3

    7

    2

    6

    ad A B C D

    gredE 3

    12

    4

    12

    4

    11

    3

    13

    its tsuni

    aj 2

    17

    3

    16

    For Examiners

    Use-4 -3 -2 -1 0 1 2 xy 3

    20

    6

    15

    P Q

    R

    S T

    U U

    5

    18

    O 2

    19

    3

    9

    2

    10

    P8 cm

    Number of student P RQ 6.0 cmDiagram 6

    Rajah 6[6 marks ][6 markah ] R

    P

    ForEaminersUse

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    MARKING SCHEME

    ITEM MARKING SCHEME SUB-MARKS

    MARKS

    1.

    3175

    15

    34

    =3

    2

    K1

    N1 2

    2.0.6 +(

    50

    14) or 0.6 + 0.28 or 0.6 +

    25

    7

    = 0.88

    K1

    N1

    2

    3.a) 0.05

    b) 64 + ( 12 -9) or 64 + 3

    67

    P1

    K1

    N1

    3

    4. a) p = -7

    b ) 3x = 33

    x = 11

    N1

    K1

    N1

    3

    5. Line Of reflection MN correct

    Note:- i) Dotted line drawn award P1P2

    2

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    6.

    Translation ( )2-5

    Note:- i) Translation - award P1

    ii) ( )2-

    5- award P1

    iii) Do not accept wrong spelling, or (5, 2), or

    ( )2-

    5

    P2

    2

    7.a) xs( 7x + s)

    b) cd( 1 - d)

    = cd( 1 d) (1 +d)

    N1

    K1

    N1

    3

    8.22 6y-3xy+2xy- x

    = 22 6y-xy+ x K1

    N1

    2

    50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]

    17 cm

    9 cmR

    QS

    x

    Diagram 3 Rajah 3

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    9 X 3 or x 6

    3 x 6

    3, 4, 5, 6 ( list the integers)

    K1

    K1

    N1

    3

    10PR = 10 ( Theorem pythagoras)

    Sin x =3

    2K1

    N12

    11

    Note:- i) 3 or 4 points marked correctly award K1ii) Do not accept dotted line, free hand drawing.

    iii) Drawing starts from 0 award N 0

    K1Uniform

    scale

    K25 pointsmarked

    correctly.

    N1Straightline

    drawn to join each

    point.

    4

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    12. Number of students taking tuition classes

    Bilangan pelajar yang mengambil kelas tusyen

    Mathematicmatematik

    ScienceSains

    English Bahasa Inggeris

    represent/ mewakili 40 student/pelajar.

    3

    132-2 2

    3

    2

    1

    2

    1

    4 pq pq

    2-223+

    21

    2 pq22 q

    K1

    K1

    N1

    3

    14- Construct 30- Extend line 30- Line segment 6.0 cm- Complete triangle PQR - Construct angle bisector

    (a) Angle Q = 6.3

    K2K1K1K1K1

    6

    15 Scale correctAll point correctly plottedIf 2 point incorrect award - 1 mark Smooth line.

    K1K2K1

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    3

    13

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    16

    N3

    17 22 2=18 T m F

    m F T 29=

    K1 N1 2

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    18a)Circle with centre O and radius of 2 units

    - Award 1 mark if the circle drawn

    (i) locus of Y (ii) Locus o f Z

    (a) Intersection locus of Y and Z

    K1K1

    N1

    P2

    5

    19

    2

    3-=

    4=4

    64

    1=4

    3-2

    2

    n

    n

    n

    K1 N1

    2

    50/2 2009 PPD Kudat SULIT{LIHAT SEBELAH]

    P Q

    R

    S T

    U

    Locus Y

    Locus Z

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    20 (a) Score Frequency0 111 13

    2 103 8

    Mode = 1 N2

    N1

    3

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