PMR Ganu Set 1 Paper 1

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  • 7/31/2019 PMR Ganu Set 1 Paper 1

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    SET 1 PAPER 1 3 50/1

    50/1

    JABATAN PELAJARAN NEGERI TERENGGANU

    SET 1 PAPER 1

    INFORMATION FOR CANDIDATES

    1. This question paper consists of 40 questions.

    2. Answerallquestions.

    3. The diagram in the question provided are not drawn to scale unless stated.

    4. A list of formulae is provided

    5. You may use a non-programmable scientific calculator.

    MATHEMATICS

    (1 hour 15 minutes)

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    SHAPE AND

    1. ma x na = nma

    2. ma na = nma

    3.nm

    a )( = mna

    4. Distance =2

    21

    2

    21 )()( yyxx

    5. Midpoint

    (x,y) =

    2

    ,2

    2121 yyxx

    1. Area of rectangle = length x width

    2. Area of triangle =2

    1x base x height

    3. Area of parallelogram = base x height

    4. Area of trapezium

    =2

    1x (sum of parallel sides) x height

    5. Circumference of circle = d = 2 r

    6. Area of circle =2

    r

    7. Curved surface area of cylinder

    = 2 hr

    8. Surface area of sphere =24 r

    9. Volume of right prism= cross sectional area x length

    10. Volume of cuboid

    = length x width x height

    6. Average speed =takentime

    travelleddistance

    7. Mean =dataofnumber

    dataofsum

    8. Pythagoras Theorem222 bac

    11. Volume of cylinder = hr2

    12. Volume of cone =3

    1hr

    2

    13. Volume of sphere = hr2

    3

    4

    14. Volume of pyramid

    =3

    1x base area x height

    15. Sum of interior angles of polygon

    = 1802 n

    16.circleofncecircumfere

    lengtharc=

    0360

    centreatsubtendedangle

    17.circleofarea

    sectorofarea=

    0360

    centreatsubtendedangle

    18. Scale factor, k =PA

    AP''

    19. Area of image =2

    k x area of object

    MATHEMATICS FORMULAE

    The following formulae may be helpful in answering the questions. The symbols given arethe

    ones commonly used.

    RELATIONS

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    1 Find the value of

    17.4 + 12.6 0.6

    A 50

    B 38.4

    C 19.5D 5

    2 In Diagram 1 , PQR is a straight

    line.

    Find the value of x.

    A 40

    B 50

    C 60

    D 70

    3 Solve )8

    1+

    4

    1(

    4

    11

    A24

    5

    B32

    15

    C3

    13

    D2

    17

    4 The common factors of 12 and 8

    are

    A 2,4

    B 1,2,4

    C 2,3,4

    D 1,2,3,4,6,12

    5 Solve 85 + ( 16732 ) x 10

    A -78

    B -68

    C 1435

    D 2200

    6 In Diagram 2, JKLM is arectangle

    Calculate the area, in cm2

    , of the

    shaded region.

    ( Use =7

    22)

    A 280B 226

    C 154

    D 126

    7 Simplify -2(x + 3) + 7x

    A 5x - 6B 5x - 3

    C 5x + 3

    D 5x + 6

    8 Calculate the value of0.3 (40.3 + 1.2)

    A 21

    B 14.7C 2.1

    D 1.47

    14 cm

    J K

    M L20 cm

    40o

    xo

    P

    Q

    R

    S

    T

    DIAGRAM 1DIAGRAM2

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    9 Diagram 3 is a pictogram. It

    shows the number of books read

    by three students Abu, Bala and

    Chong.

    Which of the following

    statements is correct?

    A 80 books were read by Abu.B 5 books were read by Bala

    C The books read by Bala aretwo copies more than

    Chong.D A total of 12 books were

    read by the three students.

    10 Given that 3x + 4 = x12,

    then x =

    A -8

    B -4

    C 2

    D 4

    11 Given that x : y = 3 : 7 .If x + y = 90 , then find the

    value of x.

    A 27B 36

    C 54

    D 63

    12 In Diagram 4, WTU is a straight

    line.

    The value of x is

    A 40B 60

    C 70

    D 80

    13 5p2q( -p + 3q ) =

    A 4p + qB 4p5q

    C 6p + qD 6p5q

    14 18 + 2k2

    =

    A 2(9 + k)

    B 2(9 + k2)

    C 2(3 + k)(3 + k)

    D 2(3k)(3k)

    15 Find the Lowest Common

    Multiple (LCM) of 6, 8 and 10.

    A 60

    B 80C 120

    D 160

    DIAGRAM 4

    x0

    Q

    P

    1400

    R S

    T

    W

    U

    V

    1200

    Abu

    Bala

    Chong

    represent 20 books

    DIAGRAM 3

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    16 Given that q3r2 = 12 and r = 4.

    Find the value of q.

    A -36

    B -12

    C 36D 60

    17 In Diagram 5, O is the centre of

    the circle.

    The value of x is

    A 42B 48

    C 69D 84

    18 nn

    592

    A2

    59

    n

    n

    B2

    59

    n

    n

    C3

    2 59

    n

    n

    D3

    259

    n

    n

    19 Ali deposited a sum of money in

    a bank offering a simple interest

    rate of 6 % per annum. He

    receives RM 1200 as interest

    after one year. How much is the

    sum of money deposited by him?

    A RM 20 000

    B RM 14 400C RM 10 000

    D RM 7 200

    20 Diagram 6 shows angles p, q and

    r with ratio 4 : 5 : 3

    Given that qr = 18, find the

    value of p + r

    A 36

    B 54

    C 63

    D 72

    21 On the map, a river is 3 cm long.

    If the scale is 1 : 50 000. What isthe actual length of the river,

    in km?

    A 0.35

    B 3.5C 35

    D 350

    DIAGRAM 5

    x0

    420

    O

    DIAGRAM 6

    p0q0

    r0

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    22 Diagram 7 shows a rectangle

    JKLM. LMN and KN are

    straight lines.

    Given that tan JNM = 3

    5

    , find

    the value of sin x.

    A5

    4

    B4

    3

    C5

    3

    D3

    1

    23 Diagram 8 shows two circles

    with centres P and Q. The radiusis 5 cm and 2 cm respectively.

    Which of the following points A,

    B, C and D is 5 cm from P andmore that 2 cm from Q.

    24 In Diagram 9, JKLMP is a

    pentagon.

    Find the value of x.

    A 16B 20C 30

    D 54

    25 Simplify 32

    4

    3

    2716

    A -72

    B

    9

    8

    C9

    8

    D8

    9

    26 Round off the product of

    0.468 1.45 to 2 decimal places.

    A 0.60B 0.67

    C 0.68

    D 0.70

    DIAGRAM 7

    11 cm

    N

    x0

    J

    M L

    K

    15 cm

    DIAGRAM 8

    B

    A

    P QD

    C

    DIAGRAM 9

    J

    1102x

    K

    L

    MP

    5x

    3x

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    27 In the Diagram 10, pentagon

    MNOPQ is the image of

    pentagon MNOPQ under an

    enlargement.

    A21

    B4

    3

    C 1

    D 2

    28 In the diagram 11, PQRS is a

    Quadrilateral.

    Find the value of y.

    A 60

    B 100

    C 120

    D 180

    29 The diagram below are drawn on

    square grids. Triangle Q is the

    image of triangle P under a

    translation. Which of the points A,

    B, C and D is the image of x under

    the same translation?

    30 Diagram 12 shows the graph of a

    function on a Cartesian plane.

    The equation that represents thefunction is

    A y = -3x -2

    B y = -3x + 2

    C y = 3x -2

    D y =3x + 2

    DIAGRAM 10

    M

    N

    O

    P

    Q

    M

    N

    O

    P

    Q

    DIAGRAM 11

    80 P

    S

    Q

    R

    y

    2y

    260

    D

    C

    B A

    Q

    Px

    y

    0

    4

    x2

    -2

    -2

    2

    DIAGRAM 12

    4-4

    -4

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    31 Given that 413

    x

    .

    Find the value of x.

    A 9

    B 11C 13

    D 15

    32 Which of the following fractions

    has the lowest value?

    A2

    1

    B4

    3

    C6

    5

    D8

    3

    33 The coordinates of a point T is

    (3, -4). Given that the image of T

    under a reflection on the yaxis is

    T. Find the coordinates of T.

    A (-3, 4)

    B (-4, 3)

    C (-3, -4)

    D (4, 3)

    34 Ah Choong drove his car from town

    P to town Q. He began his journey

    at 10.40 am. The journey took2

    13

    hours. If he reached town Q 10minutes earlier, at what time did he

    reach town Q?

    A 1.40 pm

    B 1.50 pm

    C 2.00 pm

    D 2.10 pm

    35 Given that 3r4s = 15 and

    3s + 9 = 0, then r is

    A -9

    B -6

    C 1

    D 9

    36 In Diagram 13, TUYZ and VWXY

    are squares. TUV is a straight line.

    Calculate the perimeter, in cm, of

    the whole diagram.

    A 56

    B 66C 67

    D 84

    37 Given that(3x4)(2x + 5) = 6x

    2kx20,

    find the value of k.

    A -23

    B -7

    C 7D 23

    38 The midpoint of K(12,1) and

    L(x,y) is (4,5). Find the

    coordinates of point L.

    A (-4, 8)B (-4, 9)

    C (8, -4)

    D (8, 3)

    DIAGRAM 13

    V

    W

    TU5 cm

    X

    ZY

    13 cm

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    39 The volume of the cuboid in

    Diagram 14 is 336 cm3.

    Find the value of h.

    A 84B 48C 12

    D 11

    40 Diagram 15 is a cone.

    Find the volume of the cone, in cm3.

    A 360

    B 288

    C 120

    D 96

    DIAGRAM 15

    L M

    K

    N12 cm

    10 cm

    DIAGRAM 14

    4 cm

    h cm

    7 cm

    End of Question Paper