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    Test-February 2018 Add Maths f4

    Uploaded by

    Zacky Zack Asfanuddin
    1. The document contains 6 mathematics problems involving quadratic equations. The first problem asks to find the value of r if one root of a quadratic equation is twice the other root. The second problem asks to find the value of p if a quadratic equation has only one root. The third problem asks to solve a quadratic equation to three decimal places. 2. The fourth problem involves a function relating sets A and B, and asks to identify the type of relation and write the relation using function notation. The fifth problem involves composite functions and inverses of functions. 3. The sixth and final problem has two parts: the first asks to find the roots of a quadratic equation and the range of x if the equation is

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    Test-February 2018 Add Maths f4

    Uploaded by

    Zacky Zack Asfanuddin
    25 views4 pages
    1. The document contains 6 mathematics problems involving quadratic equations. The first problem asks to find the value of r if one root of a quadratic equation is twice the other root. The second problem asks to find the value of p if a quadratic equation has only one root. The third problem asks to solve a quadratic equation to three decimal places. 2. The fourth problem involves a function relating sets A and B, and asks to identify the type of relation and write the relation using function notation. The fifth problem involves composite functions and inverses of functions. 3. The sixth and final problem has two parts: the first asks to find the roots of a quadratic equation and the range of x if the equation is

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    Test-february 2018 Add Maths f4

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    1. The document contains 6 mathematics problems involving quadratic equations. The first problem asks to find the value of r if one root of a quadratic equation is twice the other root. The second problem asks to find the value of p if a quadratic equation has only one root. The third problem asks to solve a quadratic equation to three decimal places. 2. The fourth problem involves a function relating sets A and B, and asks to identify the type of relation and write the relation using function notation. The fifth problem involves composite functions and inverses of functions. 3. The sixth and final problem has two parts: the first asks to find the roots of a quadratic equation and the range of x if the equation is

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    25 views4 pages

    Test-February 2018 Add Maths f4

    Uploaded by

    Zacky Zack Asfanuddin
    1. The document contains 6 mathematics problems involving quadratic equations. The first problem asks to find the value of r if one root of a quadratic equation is twice the other root. The second problem asks to find the value of p if a quadratic equation has only one root. The third problem asks to solve a quadratic equation to three decimal places. 2. The fourth problem involves a function relating sets A and B, and asks to identify the type of relation and write the relation using function notation. The fifth problem involves composite functions and inverses of functions. 3. The sixth and final problem has two parts: the first asks to find the roots of a quadratic equation and the range of x if the equation is

    Copyright:

    © All Rights Reserved
    Download as DOCX, PDF, TXT or read online from Scribd
    Download as docx, pdf, or txt
    of 4

    ADDITIONAL MATHEMATICS FORM 4

    FEBRUARY 2018
    For
    Answer all questions examiner’s
    use only

    1. Given that one of the roots of the quadratic equation 5 x2 − 4 x + r = 0 is twice the
    other root. Find the value of r . [3 marks]

    3
    Answer : . r = .............................

    2. Given that the quadratic equation (x + 2) (x – 5) = p has only one root, calculate
    the value of p. [3 marks]

    Answer : . ................................. 3
    3. Solve the quadratic equation x(2x - 5) = 2x – 1. Give your answer correct to three decimal
    places. [3 marks]

    Answer : . .................................
    3

    4. In diagram 1, set B shows the images of certain elements of set A.

    5● >  25
    4● > >
    >  16
    -4 ●

    -5 ●
    Set B

    Set A

    DIAGRAM 1

    (a) State the type of relation between set A and set B.


    (b) Using the function notation,write a relation between set A and set B.
    [3 marks]

    Answer : . (a)................................
    3
    (b)...............................
    5. Given f : x  4x – 1 and g : x  x2 + 3,find
    5
    a. fg(3), [2marks]
    b. the value of x when f 2(x) = 7. [2marks] 8

    c. f 1 ( x) [2marks]

    d. f 1 g ( x) [2marks]
    6.
    (a) The quadratic equation x 2  5 x  6  0 has roots α and β where α > β. Find
    (i) The value of α and β
    (ii) The range of x if x 2  5 x  6  0 [5 marks]

    (b) Using the values of α and β from 6(a)(i), form the quadratic equation which has
    roots α + 2 and 3β -2 [ 5 marks]

    6
    3
    10

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