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    Mathematics GR 10 Paper 1

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    moyanalinah31
    Maths paper question 1, containing trigonometry and others

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    Mathematics GR 10 Paper 1

    Uploaded by

    moyanalinah31
    90 views5 pages
    Maths paper question 1, containing trigonometry and others

    Original Title

    Mathematics-GR-10-Paper-1_

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    Maths paper question 1, containing trigonometry and others

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    90 views5 pages

    Mathematics GR 10 Paper 1

    Uploaded by

    moyanalinah31
    Maths paper question 1, containing trigonometry and others

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 5

    GRADE 10

    MATHEMATICS PAPER 1

    MID YEAR EXAMINATION 2019

    MARKS: 75

    TIME: 1 hour 30 minutes

    This question paper consists of 5 pages

    Demo
    NW/JUNE/MATH/ EMIS/6*******
    Mathematics/P1 2 NW/June 2019
    Grade 10

    INSTRUCTIONS AND INFORMATION

    1. This question paper consists of 6 questions, answer ALL the questions.

    2. Clearly show ALL calculations, diagrams, graphs, et cetera that you have used in
    determining the answers.

    3. An approved scientific calculator (non-programmable and non-graphical) may be


    used, unless stated otherwise.

    4. If necessary, answers should be rounded off to TWO decimal places, unless stated
    otherwise.

    5. Number the answers correctly according to the numbering system used in this
    question paper.
    6. It is in your own interest to write legibly and to present the work neatly.

    Demo
    NW/JUNE/MATH/ EMIS/6*******
    Mathematics/P1 3 NW/June 2019
    Grade 10

    QUESTION 1

    2E
    1.1 Given that v  .
    m

    1.1.1 If m  12 and E  132, determine the value of v. Leave answer in surd


    form (2)
    1.1.2 State whether v is rational or irrational. (1)
    1.1.3 Determine between which two consecutive integers does v lie? (2)

    1.2 Write the recurring decimal 0,5 2 as a fraction (4)
    [9]

    QUESTION 2
    2.1 Factorise fully:

    2.1.1 a 2  2a  ax  2 x (3)

    x 3  27
    2.1.2 (3)
    x 2  3x  9
    2.2 Simplify the following:

    2.2.1 (2 y  3)(6 y 2  4 y  8) (3)

    2 2n  4 n  2
    2.2.2 (3)
    16 n

    3x 3  7 x 2  6 x 3x 2  2 x
    2.2.3  (6)
    x2  9 3x  9
    [18]

    QUESTION 3
    3.1 Solve for x:

    3.1.1 9 x  4  5(2 x  3) (3)

    1
    3.1.2 4x  (2)
    256

    3.2 Solve the following inequality and represent it graphically:

    10  x  4  12 (4)

    3.3 Make r the subject of the formula if A   R 2   r 2 (2)

    Demo
    NW/JUNE/MATH/ EMIS/6*******
    Mathematics/P1 4 NW/June 2019
    Grade 10

    3.4 Given: x 2  9 y 2  99 and x  3y  3

    3.4.1 Determine the value of x  3 y (2)

    3.4.2 Hence, solve for x and y simultaneously (4)


    [17]

    QUESTION 4
    4.1 Given the number pattern: 4;  1;  6;...
    4.1.1 Write down the next two terms of the pattern (2)

    4.1.2 Determine the n th term of the sequence. (3)

    4.1.3 Calculate T27 , the twenty seventh term of the pattern. (2)

    4.1.4 Which term of the pattern is equal to  71 (2)

    4.2 Study the following illustration:

    1 1  1
    11 11  121
    111 111  12321

    Express 12345654321 as per the illustration above. (1)


    [10]

    QUESTION 5
    f ( x)  2 x 2  2 and g ( x)  2 x  1 are the defining equations of the graphs of f and g
    respectively.

    5.1 Write down the equation of the asymptote of g. (1)


    5.2 Sketch the graphs of f and g on the same set of axes, clearly show the intercepts
    with the axes, the turning points as well as the asymptotes. (6)
    5.3 Write down the range of the graph of g. (1)
    5.4 What transformation does the graph of y  f (x) undergo in order to obtain the

    graph of y  2 x 2  2 (2)
    [10]

    Demo
    NW/JUNE/MATH/ EMIS/6*******
    Mathematics/P1 5 NW/June 2019
    Grade 10

    QUESTION 6
    2
    Sketched below are the graphs of: h( x)    1 and p ( x)  ax  q.
    x
    A(-2;4) and B(3;-1) are points on the graph of p.

    6.1 Show that a  1 and q  2 (4)


    6.2 Determine the values of x for which h( x)  p ( x) (4)
    6.3 Determine the values of x for which h( x)  p ( x) (3)
    [11]

    GRAND TOTAL: 75 MARKS

    Demo
    NW/JUNE/MATH/ EMIS/6*******

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