PAPER 1& 2 AM 2011

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    SULIT 4 3472

    Answerall questions

    PAPER 1

    1. Based on the following information, the relation between A and B is definedby the set of ordered pairs {(3,5), (3,7), (5,8), (5,9)}

    State,

    (a) the images of 5

    (b) the object of 5 [ 3

    marks ]

    Answer: a)

    b)

    2. Diagram 2 shows the relation between set P and set Q

    Set P Set QState

    a) The range of the relationb) The type the relation [ 3

    marks ]

    Answer: a)

    b)

    3472@Mid Year Exam Form 4 [Lihat sebelah

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    .

    3

    1

    3

    2

    A = { 3,5 }

    B = { 5, 7, 8, 9, 12}

    e .

    f .

    g .

    . w

    . x

    . y

    . z

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    SULIT 5 3472

    3. Given that f(x) = 2x + 5. Finda) f-1(x)b) the value when f-1(6) [ 4

    marks ]

    Answer: a)

    b)

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    4. Given that 34: xxf and 9: 2 + xxxg , find

    a) )5(1f

    b) )5(1gf [ 4

    marks ]

    Answer: a)

    b)

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    5. Given the functions pxxf 2: and 4:1 +

    kxxf , where p and k are

    constants, find the value of k and of p. [ 3marks ]

    Answer: a)

    b)

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    3

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    6. Given the function 0,8

    )( = xx

    xf and the composite function

    xxfg 4)( = , find

    a) g(x)b) the value of x when gf(x) = 7 [ 4

    marks ]

    Answer: a)

    b)

    7. Express ( )( ) 6312 +=+ xxx in general form. [ 3

    marks ]

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    Answer:

    8. Solve the quadratic equation )14(25 2 += xxx [ 4

    marks ]

    Answer:

    9. It is given 3 and -5 are the roots of a quadratic equations. Write the

    quadratis equation in the form ax2 + bx + c = 0, where a, b and c areconstants. [ 3marks]

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    Answer:

    10. The quadratic equation 22 23 xxpx = has no roots. Find the range

    of values of p. [ 3

    marks ]

    Answer:

    11. Given that and are the roots of the quadratic equation

    0322

    = xx . Form the quadratic equation that has the roots 2 and

    2. [ 4marks ]

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    12. Find the range of the values of x which 472 2 + xx 0

    [ 3marks ]

    Answer:

    13. It is given the quadratic equations ( ) 0132 =++ xmx has two equal

    roots. Find the values ofm. [ 4marks ]

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    ( 4, q )

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    Answer:

    14.Diagram 14 shows the graph of a quadratic function f(x) = 3(x+p)2+2, wherep is a constant. The curve y= f(x) has the minimumpoint(4, q), where q is a constant. State

    (a) the value ofp,(b) the value ofq,(c) the equation of the axis of symmetry. [ 3

    marks ]

    Answer : a )

    b )

    c)

    15. Simplify 31 2164 nnn . [ 3

    marks ]

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    16. Given that ( ) 3212 9327 + = pp , Find the value of p. [ 3

    marks ]

    Answer: p=

    17. Solve the equation 1)3(log5log 44 =+ mm [ 3

    marks ]

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    18. Solve the equation 63 1 =+x [3 marks ]

    Answer:

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