Latih Tubi Mate Akhir_2 2012

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  • 7/30/2019 Latih Tubi Mate Akhir_2 2012

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    TUISYEN KITA | cgnashPENCETUS BIJAK MATEMATIK

    1.Calculate the value of2

    3

    3

    2

    5

    7

    2.Calculate the value of 2.6 3.5

    5

    32

    and express the answer as a decimal

    3.Diagram 3, in the answer space shows twotriangles, PQR and PQR, drawn on a grid

    of equal squares. PQR is the image of

    PQR under an enlargement.

    On Diagram 3 in the answer space, mark T

    as the centre of enlargement.

    4.Diagram 4 in the answer space showsquadrilaterals PQRS and straight line WX

    drawn on a grid of equal squares.

    Starting from the line WX, draw

    quadrilateral WXYZ which is congruent to

    quadrilateral PQRS.

    5. Diagram 5 in the answer space showstriangle KLM drawn on a grid of equal

    squares. On the diagram in the answer space,

    draw the image of the triangle KLM under arotation of 90 clockwise about the point P.

    6.Given that, 53 k

    pexpressp in terms ofk

    7. Solve each of the following equations :a)46x = 14

    b)m

    m

    4

    103 = 2

    8. Simplify :736 bab abb 4522

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    9. Diagram 9 shows polygonABCDEFdrawnon a grid of equal squares.

    On the grid in the answer space, redraw the polygon

    using the scale of 1 : 2.

    10. The diagram 10 in the answer space showsa rectangle,PQRSwhich is drawn on a gridof squares with sides 1 unit. O is the

    midpoint ofPQ.X, YandZare three moving

    points in the diagram.

    a) On the diagram draw

    i) The locus ofXsuch that it is constantly

    3 units from linePQ.

    ii) The locus ofYsuch that it is always 5

    units from lineRQ.

    iii) The locus ofZsuch that pointZfrom O

    is always 5 units.b) Hence, mark with the symbol the

    intersection of the locus ofYand the locus of

    Z.

    11. Expand each of the following expressions :a) 2 3x + 5 2x

    b) mn mn 3

    12. Express2

    32 a

    3

    4a

    as a single fraction

    in its simplest form.13.In Diagram 13, triangles JKN and JLM are

    similar.

    State

    (a) The angle in triangleJLMwhich

    corresponds to JKN.

    (b) Find the length, in cm, ofLM.

    14. List all the integer values of k whichsatisfy both the inequalities

    2k + 2 - 4 and 4 - k > 0

    15.Diagram 15 is an incomplete line graph whichshows the monthly sales of chickens in a

    market.

    (a) In which month the number of chickens sold

    are the highest ?(b) If the number of chickens sold in January is

    half of that in Mac, how many chickens are sold

    in January?

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    16. Use the graph paper provided to answer thisquestion.

    Table 16 shows the values of two variables, x

    and y of a function.

    Thex-axis and they-axis are provided on the

    graph paper.

    (a) By using the scale of 2 cm to 2 units, completeand label they-axis.

    (b) Based on table 1, plot the points on the graphpaper.

    (c) Hence, draw the graph of the function.

    17.Use of set squares and protractors are notallowed for this question.

    Diagram 17 shows a quadrilateral ABCD.

    Using only a ruler and a pair of compasses,

    construct diagram 17, beginning from the

    line AB provided in the answer space

    18. Simplify (3hm 2 ) 4 (m 2 ) 1 h 7 m 3 .

    19. Find the value of 3 21 54 21 2 23

    20. Diagram 20 shows a right - angled trianglePQR.

    It is given that tan x =3

    4. calculate the

    length, in cm, ofPR.

    A B