ppsmi pra pmr paper 2 set 2 (bi)

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  • 7/28/2019 Ppsmi Pra Pmr Paper 2 Set 2 (Bi)

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    1. Calculate the value of1 1 3

    1 16 4 8

    and express the answer as a fraction in

    its lowest term.

    [ 2 marks ]

    2. Find the value of4

    2 0.75 3.25

    + and express the answer as a decimal number.

    [ 2

    marks ]

    3. (a) Find the value of 1.52

    (b) Calculate the value of 23 64 3 [ 3

    marks ]

    4. In Diagram 1, QRS is a straight line.

    DIAGRAM 1

    Given that cos x =15

    17.

    Find the value of sin y

    [ 2 marks ]

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    1

    5. Diagram 2 in the answer space is drawn on a square grid of sides 1 unit. On

    the diagram, draw and label STUV, the image ofSTUVunder a reflection in

    the straight lineKL.

    [2 marks ]

    DIAGRAM 2

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    3

    6. In Diagram 3, Q is the image of P under an enlargement.

    DIAGRAM 3

    (a) Mark and label Sas the centre of the enlargement

    (b) State the coordinates of point S

    (c) State the scale factor of the enlargement

    [ 3 marks ]

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    5

    7. Diagram 4 shows a prism.

    In the answer space, draw a full scale the net of the prism on the square grid

    with sides 1 unit.

    [ 3 marks ]

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    7

    8. Table 1 shows the scores obtained by a group of students in a game.

    Scores 1 2 3 4 5

    Number of

    students6 4 12 15 3

    TABLE 1

    Find:

    a) The mode score

    b) The mean score

    [ 3 marks ]

    9. Simplify 7x 4(2 x).[ 2 marks ]

    9

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    10. List all the integer values ofw which satisfy both inequalities

    3w + 2 - 4 and 5 2w 1

    [ 3 marks ]

    11. Find the value of (5-2)-3 5 4

    [ 2 marks ]

    12. a) Find the value of 3-2 32.

    b) Simplifypq-3 p- 4q3.

    [ 3 marks ]

    Answer:

    a)

    b)

    13. Givenn

    np

    27 = , express n in terms ofp.

    [ 3 marks ]

    11

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    14. Solve each of the following equations:

    (a) 4p 9 =p

    (b) m 3(m 4) = 3m

    [ 3 marks ]

    Answer:

    (a)

    (b)

    15. Diagram 5 in the answer space shows a trapeziumABCD.Xand Yare two

    moving points in the diagram.

    On the diagram,

    (a) (i) draw the locus forXsuch thatAX = AB,

    (ii) draw the locus for Y such thatDY = CY.

    (b) mark with all the possible positions for the intersection of locusX

    and locus Y.

    [ 4 marks ]

    Answer:

    (a) (i), (ii), (b)

    DIAGRAM 5

    13

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    16. Factorize completely the following expressions:

    (a) 8x 6xy

    (b) 4x2 + 4xy +y2

    [ 3 marks ]

    Answer:

    (a)

    (b)

    17. Simplify each of the following expressions.

    (a) 6 h (h 3)

    (b) (k 5)2 5(5 2k)

    [ 3 marks ]

    Answer:

    (a)

    (b)

    15

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    18. Set squares and protractors are not allowed to be used for part (a) of this

    question.

    Diagram 6 shows a rectanglePQRSand Tlies on the straight lineRS.

    (a) Starting with the trianglePQSon the answer space in Diagram 7,

    construct:

    (i) the rectanglePQRS,

    (ii) SPT= 45o such that Tis on the straight lineRS, to form

    Diagram 6.

    (b) Based on the diagram which you have constructed in part (a), measure:

    (i) the length of the straight linePT

    (ii)

    SUT[ 6 marks ]

    17

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    Answer:

    DIAGRAM 7

    (b) (i)

    (ii)

    19

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    19. Diagram 8 is a pie chart which shows how Encik Ridzuans bonus of RM

    7200 is divided among his four children.

    DIAGRAM 8

    Complete Table 2 and use it to draw a bar chart to represent all theinformation in the pie chart.

    Ridzuans

    childrenAfifah Nuha Najah Nazril

    Amount of

    bonus (RM)

    TABLE 2

    2120. Use the graph paper on page 25 to answer this question.

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    Table 3 shows the values ofx andy for a function.

    x -3 -2 -1 0 1 2 3 4

    y -16 0 12 20 24 24 20 12

    TABLE 3

    Using a scale of 2 cm for 1 unit on thex-axis and 2 cm for 4 units on they-

    axis, draw a graph of the function.

    23