PMR Mid Year 2008 SBP Mathematics Paper 1

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    SULIT 4

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    Answerall questions

    1 Round off 238 567 to the nearest thousands.A 238 500B 238 600C 239 000D 240 000

    2 Table 1 shows the list of items bought by Ahmad from a sundry shop.

    Table 1

    If he pays the shopkeeper with a fifty ringgit note, what is the change he should receive?

    A RM35B RM31C RM19D RM15

    3 In a Mathematics test, Yusdi scored 80 marks whereas Azlans score was5

    3

    of Yusdis score. The ratio of Yusdis score to Azlans score is

    A 3 : 5B 5 : 8C 5 : 2D 5 : 3

    Item Quantity Price per unit

    Cooking oil 1 bottle RM13

    Curry powder 4 packets RM4

    Potato 3 kg RM2

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    7 Diagram 2 shows a number line.

    Diagram 2

    In which of the regions labelled A, B, C orD, is3

    11 situated?

    8 In an express bus of 40 passengers,5

    3are female.

    3

    1of the female and

    4

    1

    of the

    male are children. How many children are there in the bus?

    A 10B 12C 14D 24

    9 Tajudin painted two identical rooms and took2

    12 hours to paint each room. If he

    started painting the first room at 9.30 a.m and took 45 minutes break in between, at

    what time did he complete painting the second room?

    A 1430B 1545C 1515D 1555

    3 2 1 0 1

    A B C D

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    10 A string of length 2.90 m is used to tie 6 parcels. The string used for each parcel isequal in length.

    If 38 cm of the string is left after all the parcels have been tied, calculate, in cm, thelength needed for each parcel.

    A 40B 41C 42D 45

    11 In a cross country race, 20% of participants were disqualified. If 64 participantsare allowed to complete the run, how many participants took part in the race?

    A 80B 86C 90D 94

    12 PakDin was paid RM 222.00 for 12 working days. How much will he receive for20 working days?

    A RM111.00B RM133.20C RM270.00D RM370.00

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    13 In Diagram 3, KLMand PLNare straight lines.

    Diagram 3

    Find the value ofy.

    A 40B 100C 110D 140

    N70o

    30o

    y

    o

    xo

    xo

    K

    L

    M

    P

    Q

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    14 Diagram 4 shows a cube. Given that the area of the surface JKLM is 16 cm2.

    Diagram 4

    Hence, calculate the volume, in cm3, of the cube.

    A 48B 64C 96D 128

    15 Izam has 5 sacks of sugar, each with a mass ofrkg. All the sugar is then packed ina number of smaller packets of the same size. The mass of each packet is 3 kg.What is the total number of the packets?

    A3

    5r

    B 15rC

    r5

    3

    D 30r

    J

    K L

    M

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    16 In Diagram 5, the area of the square RSTUis 64 cm2 and QR = RS.

    Diagram 5

    Find the length, in cm, ofPU.

    A 8B 9C 12D 17

    17 Table 2 shows the scores for a group of students in a game.

    Table 2

    Determine the number of students who obtained scores less than the median score.

    A 2B 3C 4D 5

    P

    Q R

    S

    T

    U

    15 cm

    Point 1 2 3 4 5 6

    Number of Students 2 1 1 1 3 2

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    18 In Diagram 6, PRSVis a parallelogram and STUV is a rectangle.

    Diagram 6

    Given that PQ = PV= UV . QST is a straight line.

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

    A 72B 52C 40D 32

    19 In Diagram 7, TRPis a straight line. Given that, the ratio ofSRTto RSTtoRTS is 2 : 3 : 4.

    Diagram 7

    Find the value ofm.

    A 100B 120C 140D 180

    S

    TR

    P

    mo

    P Q R

    S

    TU

    V

    8 cm

    3 cm

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    20 In Diagram 8, X and Yare the centres of two semicircles.

    Diagram 8

    Based on the diagram, which of the points, A, B, C orD is 4 cm from the straightline PQ and 6 cm from point Y.

    21 Diagram 9 shows a right-angled triangle EFG.

    Diagram 9

    Given that EF= FG andMis the midpoint ofEG. Find the coordinates ofM.

    A ( 3, 3 )B ( 5, 6 )C ( 4, 5 )D ( 6, 5 )

    X

    YR

    B

    A

    C D

    E(2, 9)

    F(2, 3) G

    M

    12 cmQ P

    8 cm

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    22 In Diagram 10, pointPand point R are marked on the Cartesian plane.

    Diagram 10

    Given PQRS is a trapezium. If the coordinates of point Q( 3, 2 ), the possiblecoordinates of point S is

    A ( 1, 1 )B ( 2, 2 )C ( 0, 2 )D ( 0, 2 )

    y

    xO

    2

    2

    P

    R2

    yy

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    23 Diagram 11 shows a Cartesian plane.

    Diagram 11

    Given that KL = 13 units and LMis parallel to x-axis. The coordinates ofT is

    A ( 13, 5 )

    B ( 5, 12 )

    C ( 12, 5 )

    D ( 12, 13 )

    24 Diagram 12 shows the net of a solid.

    Diagram 12

    The solid is

    A a cylinder with the radius 15 cm.B a cone with the radius 15 cm.C a cylinder with the radius 7.5 cm.D a cone with the radius 7.5 cm.

    y

    xO x

    L

    K( 12, 0)

    T

    25 cm

    15 cm

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    SULIT 15

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    25 Diagram 13 shows, a right pyramid with square base JKLM. The height of vertex Vfrom the base JKLM is 12 cm.

    Diagram 13

    Calculate the total surface area, in cm2, of the pyramid.

    A 165

    B 260

    C 280

    D 360

    26 In Diagram 14, E, F,G, Hand Jare vertices of a regular polygon.

    Diagram 14Find the number of sides of the polygon.

    A 9B 10C 12D 15

    V

    J

    K L

    M10 cm

    O

    18o

    E

    F G

    H

    I

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    31 Diagram 19 shows a sector of a circle with centre O.(use

    7

    22!T )

    Diagram 19

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

    A 22B 31C 40D 44

    20o

    O

    G

    E

    9 cm

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    32 In Diagram 20, PQR is a right-angled triangle.

    Diagram 20

    The area, in cm2, of the triangle is

    A 4x 4yB 2x2 + xyC 8x 8yD 8x

    P

    Q

    R

    (x y) cm8 cm

    2xcm

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    33 Diagram 21 shows three pairs of parallel lines.

    Diagram 21

    Which of the following statements are true?

    I v + w + y = 180

    II y = v + wIII w + x = 180

    A I, II onlyB I, III onlyC II, III onlyD I, II, III only

    xo

    zo

    yo

    vo

    wo

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    34 Diagram 22 shows a regular hexagonKLMNPQ and irregular polygonMRSTV.

    Diagram 22

    Given that PMR is a straight line. The value ofx is

    A 85B 80C 75D 70

    K L

    M

    S

    R

    T

    V

    P N

    Q

    130o

    100o

    xo

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    SULIT 23

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    35 Diagram 23 shows a semicircle with centre O.

    Diagram 23

    The value ofx is

    A 50B 60C 70D 80

    R

    S

    T

    UO

    70o

    xo

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    36 In Diagram 24, KPMand JOPL are straight lines and O is the centre of the circle.

    Diagram 24

    Find the value ofh.

    A 115B 110C 105D 100

    25o

    ho

    140o

    O

    N

    M

    P

    L

    K

    J

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    37 In Diagram 25, EFGH is a rectangle and EFPis a circle with centre O.

    Diagram 25

    Given that, the area of the rectangle EFGH is 80 cm2

    and the radius of the circleis 5 cm.

    The length, in cm, ofMP is

    A 5B 6C 8D 10

    38 3(x 2)2 =A 3x2 12B 9x2 36C 3x2 6x + 12D 3x2 12x + 12

    FME

    O

    H N G

    10 cm

    P

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    39 The pie chart in Diagram 26 shows the result of a survey on a group of people andtheir favourite local fruits.

    Diagram 26

    If the number of people who love mangosteens is 15, calculate the total number ofpeople in survey is

    A 30B 60C 90D 120

    40 ( 2x 1 )3 = .A 6x 3B

    8

    3x

    C3

    8

    x

    Dx

    2

    END OF QUESTION PAPER

    Banana

    Mangosteen

    Durian

    Papaya

    4xo

    2xo

    xo

    150o