4 soalan akhir pt3 sem 1 2015

Download 4 Soalan Akhir Pt3 Sem 1 2015

Post on 05-Nov-2015

53 views

Category:

Documents

0 download

Embed Size (px)

DESCRIPTION

soalan Sem

TRANSCRIPT

  • 3

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    [100 MARKS]

    Answer All Questions

    1. (a) In diagram 1(a), AB and CD are straight lines. EF is a transversal. Match the correct

    answers.

    Diagram 1(a)

    Answer:

    [3 marks]

    (i)

    po, ro Alternate

    angles

    (ii)

    qo, so Interior

    angles

    (iii)

    qo, ro Corresponding

    angles

    For

    Examiners Use

    F

    B

    s E

    D

    C

    A

    rq

    p

    3

  • 4

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (b)(i)

    (b)(ii)

    Based on diagram 1(b)(i), identify the straight line which is parallel to CD.

    Diagram 1(b)(i)

    The straight line which is parallel to CD is ______________.

    [1 marks]

    Answer:

    In diagram 1(b)(ii), PQR and SQT are straight lines.

    Diagram 1(b)(ii)

    Find the value of x.

    [2 marks]

    Answer:

    x

    110

    150

    R

    TQ

    P

    S

    120

    10

    15

    45

    20

    SRQP

    D

    CBA

  • 5

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    (b)(iii)

    (c)

    In diagram 1(b)(iii), PRT and QRS are straight lines. Find the value of x.

    Diagram 1(b)(iii)

    [1 mark]

    Answer:

    A 25o

    B 35o

    C 43o

    D 45o

    In diagram 1(c), ABC, AD, DE and FG are straight lines.

    Diagram 1(c)

    Calculate the value of sr . [3 marks]

    Answer:

    For

    Examiners Use

    G

    F

    ED

    CBA

    65

    s

    r

    4

    x

    43

    78

    TS

    R

    QP

    3

  • 6

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    2. (a)

    (b)(i)

    (b)(ii)

    By using a pair of compasses, a protractor and a ruler, construct a regular hexagon with

    sides of 3 cm.

    [3 marks]

    Answer:

    What is the sum of the exterior angles of a polygon.

    Answer:

    In diagram 2(b)(ii), ABCDEF is a hexagon, GAB is a straight line.

    Diagram 2(b)(ii)

    Find the value of x.

    Answer:

    [4 marks]

    75

    101

    80

    x

    120

    G

    F

    E

    DC

    B

    A

    4

    3

  • 7

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    (c) Diagram 2(c) is a combination of a half hexagon and a half octagon. ABCD are vertices

    of a regular hexagon and DEFGH are vertices of a regular octagon. ADH is a straight line.

    Diagram 2(c)

    Find the value of x.

    [3 marks]

    Answer:

    For

    Examiners Use

    3

  • 8

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    3.(a)

    In diagram 3(a), PQRS is a circumference with centre O.

    Diagram 3(a)

    Find:

    (i) the length of RS (ii) the value of x

    [3 marks]

    Answer:

    (a)

    (b)

    3

  • 9

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    (b)(i)

    (b)(ii)

    In diagram 3(b)(i), ABC is a chord of the circle with centre O. OB = 6 cm, AC= 16 cm

    and AB = BC.

    Diagram 3 (b)(i)

    State the value of

    (i) x

    (ii) y

    [2 marks]

    Answer :

    (i)

    (ii)

    In diagram 3(b)(ii), PQRS is a circle.

    Diagram 3(b)(ii)

    Find the value of x.

    [2 marks]

    Answer:

    For

    Examiners Use

    4

  • 10

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (c) In diagram 3(c), PQR is a straight line and PT = PQ.

    Diagram 3 (c)

    Find the value of x.

    [3 marks]

    Answer:

    3

  • 11

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    4. (a) The pie chart in Diagram 4(a) shows the ratio of a cake which is divided among five people,

    P, Q, R, S and T.

    Diagram 4(a)

    Given the weight of the cake is 2400g and T gets 800g of it, find the value of x, in degrees.

    [3 marks]

    Answer:

    For

    Examiners Use

    40

    60

    60

    xT

    S

    R

    Q

    P

    3

  • 12

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (b)

    (c)

    The table shows the score obtained by a group of the students in a quiz.

    Table 4(b)

    (i) It is given that the modal score is 3. Find the minimum value of n.

    (ii) If 3n , calculate the mean score of the quiz.

    [4 marks]

    Answer:

    (i)

    (ii)

    The data below shows the masses, in kg, of parcels collected in a post office on a particular

    day.

    2 10 9 10 4

    7 16 13 8 10

    (i) Based on the data above, find the mode of the parcels. (ii) Find the median of the parcels.

    [3 marks]

    Answer:

    (i)

    (ii)

    Score 0 1 2 3 4 5

    Frequency 6 4 6 n 10 3

    4

    3

  • 13

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    5. (a)

    State whether each of the following statement is true or false.

    (i) 7 x 7 x 7 x 7 x 7 x 7 = 67

    Answer : ____________

    (ii) 1138 zz

    Answer : ____________

    (iii) 030

    Answer : ____________

    [3 marks]

    For

    Examiners Use

    (b)(i)

    (b)(ii)

    Simplify 3

    2

    3

    2

    gg

    [2 marks]

    Answer:

    Given 3221 x , calculate the value of x.

    [2 marks]

    Answer:

    3

    4

  • 14

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (c)(i)

    (c)(ii)

    Circle the correct answer.

    Answer:

    305 kk A 3k

    B 2k

    C 2k

    D 8k

    Simplify 483

    3

    21812 abba

    [3 marks]

    Answer:

    3

  • 15

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    6.(a) Expand each of the following :

    (i) ba 25305

    1

    (ii) 48 yy

    [3 marks]

    Answer:

    (i)

    (ii)

    For

    Examiners Use

    (b) Factorise each of the following expression completely :

    (i) 22 816 kjkj

    (ii) 49

    232

    k

    k

    [4 marks]

    Answer:

    (i)

    (ii)

    3

    4

  • 16

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (c) Express y

    x

    y

    x

    5

    32

    as a single fraction.

    [3 marks]

    Answer:

    3

  • 17

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    7. (a) Determine the variables in the following situations and represent them with a suitable

    letters.

    [3 marks]

    (i) Temperature throughout last Thursday in January in Kuala Kubu.

    Answer : Variable : _______________ Letter : ________________

    (ii) Decrease in the mass of an adult from 30 kg to 40kg over a period.

    Answer : Variable :_________________ Letter : _______________

    (iii)Number of days of emergency leave of an employee in twelve month.

    Answer : Variable :_________________ Letter : _______________

    For

    Examiners

    Use

    (b)(i)

    (b)(ii)

    Given 2

    42n

    mnP . Find the value of P when m = 3, and n = 2.

    [2 marks]

    Answer:

    Given atrts2

    1 . Find the value of t if s = 8, r = 5 and a = 6.

    [2 marks]

    Answer:

    3

    4

  • 18

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (c) Given 2

    2 gtfm

    .When f = 4, 3m and 2t , calculate the value of g.

    [3 marks]

    Answer :

    3

  • 19

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    8. (a)

    Diagram 8(a)

    Convert the volume of water in the diagram into:

    Answer:

    (i) ____________cm3

    (ii) ____________l

    (iii) ____________mm3

    [3 marks]

    For

    Examiners Use

    3

  • 20

    CONFIDENTIAL MM315

    MMM3152015 Hak Cipta Terpelihara MRSM Pendang [Lihat halaman sebelah]

    SULIT

    For

    Examiners Use

    (b)

    Diagram 8(b)(i) Diagram 8(b)(ii)

    Diagra