Mm Soalan Paper 1 Set 3

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    1 Round off 0.01059 correct to two

    significant figures.

    A 0.0110B 0.0106

    C 0.011D 0.01

    2 0.0107 +7.5 103

    =

    A 1.82 102

    B 7.607 102

    C 1.82 103

    D 7.607 103

    341.4 10

    0.008 =

    A 1.75 101

    B 1.75 105

    C 1.75 106

    D 1.75 107

    4Convert 111010to a number in base eight.

    A 168B 2178C 21258

    D 21268

    5 100012

    1102=

    A 310B 710C 1110

    D 1510

    6

    Diagram 1

    From Diagram 1, it is given that ABis of

    the same length as BE. OBEP is arectangle. AEC is a straight line.

    Calculate the sum ofx,yandz.

    A 170

    B 190

    C 200D 220

    7 In Diagram 2, PAQ and QBR aretangents to the circle with centerO, at

    pointAandBrespectively.

    Diagram 2

    Given that AC = BC, find the value of

    x+y.

    A 19B 57

    C 104D 123

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    8 In Diagram 2, QPUand STUare straight

    lines andPQRSTis a regular pentagon.

    Diagram 3

    Find the value of m.

    A 24

    B 36

    C 48D 72

    9 In Diagram 3, polygon Qis the image of

    polygon Punder a clockwise rotation of

    90.

    Diagram 4

    Which of the points A, B, Cand Dis the

    centre of rotation?

    10Diagram 5 shows the irregular shapes

    TSXVWUandABCDEF.

    Diagram 5Given that TSXVWU is the image of

    ABCDEF with centre O under an

    enlargement. The scale factor of theenlargement is

    A1

    4

    B 12

    C 2D 4

    11 In Diagram 6,Kis the image ofJ under a

    combined transformation.

    Diagram 6

    Which of the following is not thepossible combined transformation?

    A Enlargement followed by rotation

    B Enlargement followed by reflection

    C Reflection followed by enlargement

    D Translation followed by enlargement

    J

    K

    -2

    10

    8

    6

    4

    2

    -4 -2 642

    Y

    X

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    12 In Diagram 7, JKLM is a rhombus, and

    LMNis a straight line.

    Diagram 7

    Given that JK= 13 cm and JN= 12 cm,find the value of cos JML.

    A1213

    B 513

    C13

    5

    D 135

    13Diagram 8 shows a prism with a

    horizontal basePQRS.

    Diagram 8

    The angle between the plane UQT andthe basePQRSis

    A SQUB QTR

    C TQU

    D TQR

    14Which of the following graphs represents

    y= cos 2x for 0 x 360?

    A

    B

    C

    D

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    15In Diagram 9,J,KandLare three points

    on a horizontal plane. MK is a vertical

    pole. Given that KL=4.2 m.

    Diagram 9

    If the angle of depression ofJandL fromM are 35 and 25 respectively, find the

    distance, in m, ofJK.

    A 2.8

    B 3.4

    C 1.6

    D 1.3

    16 In Diagram 10, K, L and M are threepoints on a horizontal plane. JK is a

    vertical tower.Lis the midpoint ofKM.

    Diagram 10

    Diagram 10

    The angle of elevation of JfromMis

    A 3351'

    B 3532'

    C 5428'

    D 569'

    17Diagram 11 shows three points, X, Yand

    Zon a horizontal plane.

    Diagram 11

    It is given that Yis due north of X. Findthe bearing ofXfromZ.

    A 045B 070

    C 110

    D 225

    18 Diagram 12 shows three points,A,Band

    C on the surface of the earth. AandBon

    the equator while NBS is the meridianand Ois the centre of the earth.

    Diagram 12

    State the position of C.

    A (43N, 120E)

    B (43N, 60W)

    C (60N, 43E)

    D (57N, 60W)

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    19(4g5h)2+g(g2h) =

    A 17g242gh+ 25h2

    B 17g238gh+ 25h2

    C 15g238gh+ 25h2

    D 15g2+ 48gh+ 25h2

    20 Express4

    6

    16

    2

    2

    xx

    x as a single

    fraction in its simplest form.

    A

    2

    6 4

    x

    x

    B 64x

    C

    6 2

    6 4

    x

    x

    D2

    6

    16x

    21 Given y = 5x24 , express xin terms of

    y.

    A B

    C

    D

    22 Given that 2 x = , calculate the

    value ofx

    A

    B

    C

    D

    23 Given that = , state the valueof mand of n.

    A m = 4, n =

    B m = 5, n =

    C m = 4, n = 5

    D m = 5, n = 4

    24

    (

    )

    A ()

    B ()

    C ()

    D ()

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    25 Solve the inequality 74x 8 +x

    A x -

    B x -

    C x -

    D x -

    26 List all the integer values ofxthat

    satisfy both the simultaneous linear

    inequalities 72x 1 and 3x2 < 16.

    A 1, 2

    B 2, 3, 4

    C 3, 4, 5

    D 3, 4, 5, 6

    27 Diagram 13 is an incomplete bar chart

    showing the number of students whoattended a leadership camp. The bar

    for Form 3 is not shown. The number

    of form 3 students is twice the numberof number of form 5 students.

    Diagram13

    A pie chart is drawn to represent all the

    given information. Find the angle of the

    sector that represents the number of Form 2

    students.

    A 72B 80

    C 90

    D 100

    28 Diagram 14 is a pictogram which shows

    the sales of cameras in January. The

    sales for February and March are notshown.

    January

    February

    March

    Represents 20 cameras

    Diagram 14

    The sales of cameras in January, Februaryand March are in the ratio 4 : 2 : 5 . Find the

    total number of cameras sold in three month.

    A 320

    B 360

    C 400

    D 440

    0

    5

    10

    15

    20

    25

    30

    35

    1 2 3 4 5

    Number

    of

    students

    Form

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    29 Table 1 is a cumulative frequency table

    which shows the grades scored in an

    examination.

    Grade Cumulative Frequency

    A x

    B 10

    C 12

    D 19

    E 20

    Given that the mode of the grades is A,

    state one possible value ofx

    A 4

    B 5

    C 6

    D 8

    30 Find the y-intercept of the straight line

    1056 yx

    A

    B

    C D 2

    31 Which graph representsy= 202x3?

    y

    x0

    A

    y

    x0

    B

    y

    x0

    C

    y

    x0

    D

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    R

    .1.2 .3

    .7

    .8.4

    .6

    .9 .11

    .5

    .13

    .10.12

    P

    Diagram 15

    32 Venn Diagrams below shows the

    elements of set P, Q and R. List the

    elements of P ( Q R )

    A { 2 , 3 , 4 , 7 }

    B { 2 , 3 , 4 , 7 , 8 }

    C { 2 , 3 , 4 , 7 , 8 , 9 }

    D { 2 , 3 , 4 , 7 , 8 , 11 , 12 }

    33 Diagram 15 is a Venn diagram which shows

    the universal set , setP, set Qand setR.

    The shaded region in the Venn diagram

    represents the set

    A QRP

    B (P R )Q

    C PR Q

    D (P R )Q

    34 In Diagram 16 below, the gradient of

    the straight line3

    4TV

    Find the coordinates of pointN.

    A ( 4, 3 )

    B ( 3, 4 )

    C ( 3, 5 )

    D ( 4, 5 )

    P

    R

    Dia ram 16

    V(3,0)

    N

    T

    x

    O

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    35 A container holds 34 yellow cards and

    a number of red cards. A card is

    picked at random from the container.

    The probability of picking a yellow

    card is5

    2.How many red cards are

    there in the container ?

    A 49

    B 51

    C 68

    D 85

    36Table 2 shows the distribution of teachers

    in three schoolsR, Sand T.

    Table 2

    If a teacher is chosen at random from the

    three schools, what is the probability that a

    male teacher from school Sis chosen?

    A

    B

    C

    D

    37 Given that y varies directly with x

    and inversely with w. When x =81, w

    = 3 and y = 27 , find the value of y

    when w = 4 and x = 49.

    A B C D 15

    38 Table 3 shows some values of p, q, andr.

    p3

    2

    5

    1

    q 2 4

    r 9 m

    Table 3

    Given that)(

    1

    rqp , calculate the value

    of m.

    A 5

    B 18

    C 15

    D 25

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    394

    1( 8 16 ) - ( -2 5 ) + ( 3 -4)

    A ( 3 5 )

    B ( 7 -3)

    C ( -3 7)

    D (7 -5)

    40 Given (5x x)

    2

    3= ( 51 ) , calculate

    the value of x.

    A 3

    B 4

    C 3

    D 4