pmr percubaan 2007 sbp mathematics paper 1

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  • 8/14/2019 PMR Percubaan 2007 SBP Mathematics Paper 1

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    5

    17 8 P 2

    + 4 5 Q8 2 6 1

    The sum of P+ Q in the calculation above is

    A 9

    B 8

    C 7

    D 6

    2 Idayu has 63 apples, 32 pears and 17 oranges. She wants to pack 7 apples, 4 pears

    and 2 oranges in a package. The maximum possible number of packages is

    A 10

    B 9

    C 8

    D 4

    3 Syazana has RM50.00. She needs another RM18.00 to buy a T-shirt with a discount

    x%. If the cost price of the T-shirt is RM 80.00, calculate the value of x.

    A 12

    B 15

    C 22.5

    D 40

    4 The highest common factor ( HCF ) of 18 and 45 is y. Which of the following is the

    multiple of y?

    A 3

    B 6

    C 27

    D 35

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    7

    7 In Diagram 2, PQRand KLMare two straight lines.

    The value x+ yis

    A 500

    B 700

    C 800

    D 900

    8 In Diagram 3, NKL is a right-angled triangle and LN = LM.

    The value of pis

    A 400

    B 500

    C 600

    D 650

    1600

    300p0

    LK

    N

    300

    200

    x 0y 0

    P R

    M

    Q

    KL

    DIAGRAM 2

    N

    M

    DIAGRAM 3

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    9 Diagram 4 shows a rhombus with perimeter 52 cm.

    Given that the length of KMis 24 cm.

    Find the length, in cm, of LN.

    A 5

    B 8

    C 10

    D 12

    10 In Diagram 5, EFJK is a rectangle and GHJK is a parallelogram.

    Find the perimeter, in cm, of the whole diagram.

    A 21

    B 24

    C 27

    D 29

    DIAGRAM 4

    ML

    NK

    DIAGRAM 5

    K

    J

    E

    H

    FG

    3cm

    7cm

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    11 A film was broadcasted by a television station at 9.55 p.m. The duration of the film was

    2 hour 20 minutes. At what time did the film end?

    A 1205

    B 1215

    C 0015

    D 0115

    12

    12

    5of 36 passengers in an express bus are male. Given that

    5

    1of the male passengers

    and 3

    1of female passengers are children.

    Find the number of children in the bus.

    A 7

    B 10

    C 12

    D 14

    13 3 , M , 7 , 11 , N , 17

    Based on the number sequence above, find the product of Mand N.

    A 65

    B 55

    C 18

    D 8

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    14 Diagram 6 shows the location of three towns, X, Y and Z drawn on a map.

    Given that the actual distance from X to Y is 78 km.

    Calculate the actual distance from town X to town Z

    A 128 km

    B 130 km

    C 208 km

    D 286 km

    15 Amirul bought a roll of wire. He cut out 18 pieces of the wire, which was 1.16 m long each.

    There was 1 m 62 cm left. How long was the roll of wire that Amirul bought?

    A 19.26 m

    B 20.88 m

    C 22.50 m

    D 23.13 m

    16 Diagram 7, shows a number line.

    The value of R+ Sis

    A - 1.05

    B - 0.75

    C 1.05

    D 1.45

    X Y Z4cm

    DIAGRAM 6

    1.5 cm

    R 0 S 1.4

    DIAGRAM 7

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    17 Diagram 8 shows a regular pentagon RSTUV. PQVis a straight line.

    Find the value of m.

    A 23

    B 49

    C 63

    D 85

    18 In Diagram 9, PRis the diameter of a circle PQRST.

    The value of x is

    A 35

    B 40

    C 55

    D 60

    850

    m0

    P

    U

    Q

    T

    S

    R

    VDIAGRAM 8

    Q

    RP

    TS

    95oxo

    120o

    DIAGRAM 9

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    19 In Diagram 10, FGHis a circle with center O and OJHis a straight line.

    The value of mis

    A 50

    B 60

    C 70

    D 75

    20 In Diagram 11, EFGand EJKare two right angled triangles

    It is given that FG = 2 HG.

    Find the length in cm, of EF.

    A 17

    B 15

    C 8

    D 7

    F

    H G

    O

    mo

    DIAGRAM 10

    30o

    110oJ

    F

    G

    HJ

    E

    5 cm

    12 cm

    4 cm

    DIAGRAM 11

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    21 In Diagram 12, RS is an arc of a circle with centre O and OST is an equilateral triangle.

    ROTis a straight line.

    Given that the length of the arc RS is 44 cm. Find the perimeter, in cm, of the whole

    diagram. ( use7

    22)

    A 65

    B 84

    C 102

    D 107

    22 Diagram 13 shows a container with a hemispherical shape which is full of water. Given

    that the surface area of the water is 9 cm2.

    Calculate the volume of the water in the container.

    A 9 cm3

    B 18 cm3

    C 36 cm3

    D 72 cm3

    S

    1200

    TOR

    DIAGRAM 12

    DIAGRAM 13

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    23 Diagram 14 shows a right pyramid with a square base KLMN. The height of the pyramid is

    12 cm.

    Find the total surface area of the pyramid.

    A 135 cm2

    B 324 cm2

    C 540 cm2

    D 864 cm2

    24 Diagram 15 shows a rectangle PQRSwith PQ= 12 and SX = XW= WR.

    Given that XVW= 45o.

    Calculate the area, in cm2, of the shaded region.

    A 16

    B 32

    C 40

    D 48

    P V Q

    RXS

    DIAGRAM 15

    45o

    W

    L

    M

    N

    K

    J

    18 cm DIAGRAM 14

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    25 In Diagram 16, JKLQ is a semicircle with centre O. LMPQ is a square with an area of

    100 cm2.

    Find the length, in cm, the straight line ORN.

    A 18

    B 20

    C 22

    D 23

    26 Given that 2x 3y = 3 and y = x + 2.

    Value of y is

    A - 9

    B - 7

    C 5

    D 11

    DIAGRAM 16

    26 cmK

    L

    MNP

    Q R

    JO

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    27 Diagram 17 is drawn on a square grid of 1 cm.

    Which of the points marked P, Q, R, and S is 5 units from Mand equidistance from KL

    and ML?

    A P only

    B P and Q only

    C Q and R only

    D R and S only

    28 Sufi drive from town Pto town Qat an average speed of 100 km/h for 2 hours. When he

    returns, he drives back at an average speed of 60 km/h. Calculate the total time taken for

    his return journey.

    A 2 hours 35 minutes

    B 2 hours 30 minutes

    C 2 hours 25 minutes

    D 2 hours 20 minutes

    K

    M

    DIAGRAM 17

    L

    P

    Q

    R

    S

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    29 Diagram 18 below shows a triangle STUVW.

    What is the length of the straight line STU?

    A 6 cm

    B 8 cm

    C 10 cm

    D 18 cm

    30Given that 6

    54

    xand xis a prime number. What is the possible value of x?

    A 5, 7, 11

    B 11, 17, 19

    C 23, 27, 29

    D 23, 29

    31 Given that the graph of function y = 4x 2passes through point ( k , 10 ), find the value of

    k

    A 2

    B 3

    C 5

    D 6

    S 3 12

    DIAGRAM 18

    2T

    VW

    U

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    32

    Based on Diagram 19 above, find the perimeter of the figure.

    A 14x + 9

    B 14x - 21

    C 20x + 18

    D 20x - 30

    33 Diagram 20 shows a semicircle with O as the centre. Given that e : f : g = 4 : 5 : 6.

    The value of e + f

    A 144

    B 132

    C 120

    D 108

    2x - 3

    3 + 2x

    DIAGRAM 19

    eo

    fo

    DIAGRAM 20

    go

    O

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    34 In Diagram 21, OPQis a sector of a circle, with centre O, and radius of 14 cm.

    Calculate the area, in cm2, of the whole diagram. ( used7

    22)

    A 130

    B 154

    C 164

    D 178

    35 Diagram 22 shows a right prism.

    Calculate its total surface area in cm2

    A 156

    B 165

    C 256

    D 265

    4 cm

    9 cm

    6 cm

    4 cm

    DIAGRAM 22

    4 cm

    14 cm

    8 cm

    S

    Q

    O P

    DIAGRAM 21

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    36 The pie chart in diagram 23 shows the result of mid-year examination for the Mathematics

    subject recently.

    Calculate the percentage of students who scored D in the examination.

    A 10% C 25%

    B 20% D 55%

    37 The Bar Chart shows the number of members of three clubs in a school.

    Find the total number of female members in three clubs.

    A 60 C 70

    B 65 D 135

    Grade A

    Grade

    DGrade

    C

    Grade B

    198o

    yoy

    o

    DIAGRAM 23

    10

    20

    30

    40

    50

    Taekwando

    Club

    Female

    Male

    Silat Gayong

    ClubSilat Cekak

    Club

    DIAGRAM 24

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    38 Which of the following graphs does notrepresent the function y = x2 5

    A B

    C D

    0

    y

    x

    -5

    0

    y

    x

    -5 (1 , - 4)

    (4 , 11)

    0

    y

    x

    -5

    3

    0

    y

    x

    -5

    (3 , 4)

    -3

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