Program GALUS Di SDary 2009

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    Q.1: Directed NumbersQ.1: Directed Numbers

    17 ( 22 + 8)

    = 17 ( 14 )

    = 17 + 14

    = 3

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    Q.2: Directed NumbersQ.2: Directed Numbers

    0.75 + ( + ) Answer in decimal.

    = 0.75 + (0.625 + 0.25)

    = 0.75 + 0.875= 1.625

    4

    1

    8

    5

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    Q.3: Squares, Square Roots, Cubes andQ.3: Squares, Square Roots, Cubes andCube RootsCube Roots

    !

    27

    8

    v

    v

    !3

    2

    3

    2

    3

    2

    2

    3

    64

    12.1

    v

    a)3

    3

    2

    b)2

    4

    12.1

    23.009.0

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    Q.4: Number Patterns and SequencesQ.4: Number Patterns and Sequences

    a)

    b)

    The first 5 Multiples of7 areThe first 5 Multiples of7 are

    7, 14, 21, 28, 357, 14, 21, 28, 35

    2

    2

    2

    3

    2 x 2 x 2 x 3 = 242 x 2 x 2 x 3 = 24

    The LCM of 8 and 12 isThe LCM of 8 and 12 is8 12

    4 6

    2 3

    1 3

    1 1

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    Q.5: Lines and AnglesQ.5: Lines and Angles

    Solution:

    X + 160 + 70 = 360

    X = 360 160 - 70

    X = 360 - 230

    X = 130

    Interior angles

    (Supplementary)

    7070

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    Q.6: Lines and Angles + Linear EquationsQ.6: Lines and Angles + Linear Equations

    Solution:

    One whole turn angle = 360

    2m + 90+ 80+ 72 = 360

    2m = 360 90 80 72

    2m = 118

    m = 118 2m = 59

    9090

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    Q.7: Polygons (Exterior Angles) + Linear EquationsQ.7: Polygons (Exterior Angles) + Linear Equations

    Solution:

    Sum of exterior angles = 360

    2x + 100 + 102 + 56 + 74 = 360

    2x = 360 100 102 56 74

    2x = 28

    x = 28 2

    x = 14

    102102

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    Q.8: Polygons (Interior Angles)Q.8: Polygons (Interior Angles)

    Solution:

    p is an interior angle of a regular pentagon

    p= (n-2) x 180

    np= 540 = 108

    5

    Sum of interior angles of a triangle = 180180

    q = 180 - 72 - 72

    q = 36

    p - q = 108 - 36

    = 72

    108

    180180--108108=72=72

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    Q.9: Statistics (Pie Chart)Q.9: Statistics (Pie Chart)

    Waja, 110

    Wira, 100

    Satria, 60

    Gen-2, 90QQ

    100360180

    50!v

    QQ60360

    180

    30!v

    Angles of ectorsAngles of ectors

    QQ110360

    180

    55!v

    Wira:Wira:

    Waja:Waja:

    Satria:Satria:

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    Q.10: Circle (Cyclic Quadrilateral)Q.10: Circle (Cyclic Quadrilateral)

    Solution:

    Sum of angles in a triangley + 60 + 70 = 180

    y = 180 - 60 - 70

    y = 180 - 130y = 50SupplementarySupplementary

    (180(180))

    7070

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    Q.11: Statistics (Pictogram)Q.11: Statistics (Pictogram)

    CompanyCompany Number ofCars SoldNumber ofCars Sold

    Company T

    Company U

    Company V

    Represents Cars sold

    16

    32

    24

    4

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    Q.12: Statistics (Dual Bar Chart)Q.12: Statistics (Dual Bar Chart)

    0

    2

    4

    6

    8

    1012

    14

    16

    18

    Green Red Blue Yellow

    Sport house

    Represent

    tv

    es