18786922-KERTAS-2[1]

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    Answerallquestions

    1 Calculatethe value of 48 3 117 [2 marks]

    Answer:

    2 Calculatethe value of 2.05

    2148.0 z

    [2 marks]

    Answer:

    3 (a) Find the value of16

    91

    (b) Calculatethe value of 23 1008.0 [3 marks]

    Answer:

    (a)

    (b)

    1

    2

    ForExaminers

    Use

    2

    2

    3

    3

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    4 (a) Expand

    kw4

    36

    3

    2

    (b) Simplify (2x 3 )( 3x + 2) x( 3x 3 )

    [3 marks]Answer:

    (a)

    (b)

    5 Factorisecompletely(a) 5gh 10g

    2h2

    (b) p + pq 2 2q

    [3 marks]

    Answer:

    (a)

    (b)

    5

    ForExamin

    Use

    4

    3

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    ForExaminers

    Use6 Express

    h

    hh

    2

    2

    2

    3 2 as a single fraction in its simplest form.

    [3 marks]Answer:

    7 Solveeach ofthe following equations:(a) e = 7 e

    (b) 3(a + 3 ) = a 5[3 marks]

    Answer:

    (a)

    (b)

    8 Givena

    cbb

    2

    ! . Express bin terms of a and c. [2 marks]

    Answer:

    6

    3

    7

    3

    8

    2

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    7F

    Exam

    U9 Diagram 9 shows a quadrilateralABCD.

    [5 marks]

    Using only a rulerand a pair ofcompasses, constructDiagram 1 beginning from thediagram provided in theanswer space.

    Based on the diagram constructed, measurethelength, in cm, ofCD.

    Answer:

    CD = .

    9

    45o

    7 cm

    D

    A

    C

    120o

    B

    Diagram 9

    AB

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    ForExaminers

    Use

    10 Diagram 10 in theanswer space shows a rectanglePQRS.K, L, Mand Nare midpoints ofPQ,QR,RSand PSrespectively.X, Yand Zarethree

    moving points in the diagram.

    (a) X is the point which moves suchthat it is equidistant from PQand SR.By usingtheletters in the diagram, statethelocus of X.

    (b) On the diagram, draw(i) thelocus ofthe pointYwhich moves suchthat its distance is constantly

    4 cm from pointK.

    (ii) thelocus ofthe pointZwhich moves suchthat it is equidistant from

    straightlines PQandPS.

    (c) Hence mark withthe symbol the intersections ofthelocus ofYand the

    locus of Z.

    [5 marks]Answer:

    (a)

    (b)(i), (ii)

    10

    5

    Diagram 10

    Q

    O

    P

    N

    R

    L

    K

    S M

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    9 FoExami

    Us

    11 Diagram 11 in theanswer space shows aquadrilateralRdrawn on a square grid.Draw the image ofthequadrilateralRunderatranslation .

    3

    5

    [2 marks]

    11

    Diagram 11

    R

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    Examiners

    Use12 Diagram 12 in theanswer space shows two triangles drawn on a grid ofequal squares.

    Sd is the image ofSunderan enlargement.

    Diagram 12

    [2 marks]

    State(a) thecentre oftheenlargement.(b) the scale factor oftheenlargement.Answer:

    (a)

    (b)

    12

    2

    S

    Sd

    6

    4

    20

    2

    10

    8

    4

    -2

    -2

    x

    10

    8

    6

    y

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    11For

    Examin

    Use13. Diagram 13 shows a polygon.

    Diagram 13

    On the grid in theanswer space, redraw the polygon using the scale 1 : 400. The

    grid has equal squares with side of 1 cm.[2 marks]

    Answer:

    13

    2

    32 m

    28 m

    24 m

    12 m

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    12For

    Examiners

    Use

    14. Find the value of 21

    2

    1

    205

    v

    [3 marks]

    Answer:

    15 Given that 3x

    =33

    27x

    Calculatethe value ofx [3 marks]

    Answer:

    16 Given 3 > 2 p and 43

    2ep

    Solvethe simultaneous linear inequalities aboveand representthecommon values of p

    which satisfy boththe inequalities on a numberline.

    [3 marks]

    Answer:

    14

    3

    15

    3

    16

    3

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    13 ForExamin

    Use

    17 Table 17 shows the sale ofbooks at Kedai Buku Utara over5 months.

    On Diagram 17 in theanswer space, completethe scaleand draw aline graphtorepresentallthe information in Table 17.

    [4 marks]

    Answer:

    Jan Feb Mar Apr May

    Month Jan Feb Mar Apr May

    Number of books sold 800 2 400 2 600 2200 3 000

    17

    3000

    Number of

    books sold

    Month

    Diagram 17

    Table 17

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    Examiners

    Use18 In Diagram 18, PQRand RSTare right-angled triangles.

    [3 marks]

    Given thatcos xo

    =5

    3and RT=

    2

    3PR.

    (a) Find thelength, in cm, ofST.(b) Tan yo.Answer:

    (a)

    (b)

    18

    3

    yo

    xo

    10cm

    R

    P

    Q

    S

    T

    Diagram 18

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    Examiner

    Use19 Diagram 19 is a piechart which shows the sale of 4 types ofcars in a month.Given

    thatthe number ofcarCsold is twicethe number ofcarB.

    Diagram 19

    (a) Statethe value ofangleD

    (b) By using the data from the piechart, complete Table 19.

    [3 marks]

    Answer:

    (a)

    (b)

    Table 19

    Type ofcar A B C

    Number ofcars sold 60

    19

    3

    75o

    B

    C

    30o

    D

    A

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    16For

    Examiners

    Use

    20 Use the graph paper provided to answer this question.

    Table20 shows the values oftwo variables, x andy ofa function.

    x 3 2 1 0 1 2

    y 7 0 5 8 9 8

    Table20

    (a) By using the scale of 1 cm to 1 unit on they-axis, completeand labelthey-axis.

    (b) Based on Table20, plotthe points on the graph paper.

    (c) Hence, draw the graph ofthe function.

    [4 marks]

    20

    4