PMR MAT K1 SET 1(PERAK)

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    8 Learning To Score 2006 : SET 1

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    13 In Diagram 4, PQRSU is an irregular pentagon. RST is a straight line.

    Q

    RT

    P

    U

    S

    DIAGRAM 4

    Find the value of y

    A 99B 261C 279D 351

    14 In Diagram 5, PQRS is a rectangle, PSUT is a trapezium and QVR is a triangle.

    DIAGRAM 5

    Calculate the area, in cm 2 , of the shaded region.

    A 64B 49C 40D 34

    yo

    40o

    99o

    130o

    V

    P Q

    RS

    T

    U

    6cm

    8cm

    6cm

    14cm

    5cm

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    15 Diagram 6 shows a right prism with PQRS as its uniform cross section.

    T W

    P

    QR

    S

    U V

    22cm

    32cm

    10cm

    8cm8cm

    DIAGRAM 6

    Find the total surface area, in cm2, of the prism.

    A 1376B 1696C 1840D 1920

    16 Diagram 7 shows a scale drawing of the floor plan of a medium cost apartment. Theshape of each area is a rectangle. The scale of the plan is 1 : 200.

    DIAGRAM 7

    The area, in m 2 , of Bedroom 2 is

    A 24B 30C 36D 42

    3cm

    6cm

    3.5cm 1cm2cm

    7cm

    Bedroom 1 Bedroom 2

    Bedroom 3Dining & Living

    Kitchen

    Bath

    room

    2.5cm

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    19 In Diagram 10, RST is an isosceles triangle and XYZ is a semicircle with centre O. SYOand RXOZT are straight lines. Given that OR = OS = 12cm.

    Calculate the area, in cm 2 , of the shaded region.

    ( Use 7

    22

    )A 67B 72C 82D 144

    20 If R(3, 3 ) is the image of R under the translation

    3

    6.

    What are the coordinates of R ?

    A (3, 0)B ( 3 , 0)C (9, 6 )D (3, 6 )

    DIAGRAM 10

    Y

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    21 In Diagram 11, ST is a straight line.

    Which of the following coordinates is the image of the point P under a reflection in theline ST?

    A (1 , 1 )B ( 1 , 1)C (3 , 1)D ( 1 , 3)

    .

    y

    x

    1

    3

    2

    4

    0

    -1

    -2 -1

    -2

    1 2 3 4

    S

    T

    P

    DIAGRAM 11

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    22 In Diagram 12, O is the centre of the circle.

    DIAGRAM 12

    SOQ is the diameter of the circle. The value of x+ y, in degree, is

    A 90

    B 70C 50D 30

    23 Diagram 13 represents two simultaneous linear inequalities on a number line.

    DIAGRAM 13

    Which of the following is represented by the above number line ?

    A 3 x and x > 4B 3 < x < 4C 3 x < 4D 3 < x and x 4

    30

    50

    O

    P

    Q R

    S

    x

    y

    -5 -4 -2 -1 0 1-3 2 3 4 5

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    24 Fatiah bought a bag of apples for RM75. He sold xkg of the apples at RM4 per kg onthe first day. On the second day, he sold ykg of the apples at RM3 per kg.Given that he made a profit of RM25, the equation in xand yis

    A 4x+ 3y= 100B 4x+ 3y= 75

    C 4x+ 3y= 25D x+ y= 100

    25 Given thatt

    t85s

    , then t

    A5

    3

    B8s

    5

    C53

    Ds8

    5

    26 Diagram 14 shows a rectangle PQRS. The parallelogram ABCD is removed.

    DIAGRAM 14

    The area, in cm, of the remaining portion is

    A 442B 440C 434D 424

    20 cm

    22 cm

    30 cm

    8 cm

    P Q

    RS

    A B

    CD

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    27 Sarah bought 56 pens of Papermates RM1.20 each and Stabilo RM0.90 each. The totalcost was RM56.70.How many Stabilo pens did she buy ?

    A 21B 28

    C 35D 42

    28 Atan bought 500g of rambutans. Joshua bought half the mass of rambutans that Kimbought. They bought 3.5 kg of rambutans altogether.How many grammes of rambutans did Joshua bought ?

    A 4000B 3000C 2000D 1000

    29 A laser printer can print 12 960 pages per day. One day, the printer was stopped for 75minutes to be serviced.How many pages the printer can print on that day ?

    A 12285B 12885C 12825D 18225

    30 Table 2 shows the members of Mathematics Society in three forms.

    MEMBERS OF MATHEMATICS SOCIETYFORM

    MALE FEMALE1 150 1802 140 1603 180 204

    TABLE 2

    Which of the following statement is true ?

    A The percentage of male students from Form 2 dan Form 3 are the same.B 46.7% of members from Form 1 are male students.C 53.3% of members from Form 2 are female students.D 45.5% of members from Form 3 are female students.

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    31 A box of oranges is divided into 3 packets in the ratio 3 : 5 : 8. The difference betweenthe number of oranges in the first packet and the third packet is 15.Calculate the number of oranges in the second packet.

    A 9B 11

    C 15D 24

    32 V is the midpoint of the line joining U and W. The coordinates of U, V and W are (6, q),(p, 1) and ( 8 , 3 ) respectively. The value of pand qare likely to be

    A p= 1 , q= 5 B p= 5, q= 1 C p= 1, q= 5 D p= 1 , q= 5

    33 Given that the distance of the point W(8, r) from the origin is 17 units, the value of ris

    A 9B 12C 15D 25

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    34 In Diagram 15, the points S, T and U are corners of a rhombus STUV.

    DIAGRAM 15

    The coordinate of point V are

    A (1, 4 )B (4, 3 )C (4, 4 )

    D (3, 4 )

    6- 4 2

    2

    80 4

    4

    - 2

    10

    6

    8

    - 6x

    - 4

    - 2

    S

    T

    U

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    35 Table 3 shows the numbers of questions that are answered correctly by four groups,Pintar, Bestari, Cerdik and Bijak in a Mathematics quiz. The group that succeeds ingetting 65 marks and above qualifies to enter the next quiz.

    GROUP TALLY

    Pintar llll lll

    Bestari llll lCerdik llll llllBijak llll ll

    TABLE 3

    If the total number of questions presented is 12, which groups qualify to participate in thenext quiz ?

    A Pintar and CerdikB Pintar and BestariC Bestari and Cerdik

    D Bestari and Bijak

    36 The mean mass of 40 members of Dynamic Club is 65 kg. A member whose mass is72kg join the club.Find the new mean mass, in kg, of the members.

    A 68.5B 65.2C 56.0D 52.5

    37 Table 4 shows the number of games each team has won.Diagram 16 shows a pie chart based on Table 4.

    TEAM NUMBER OF GAMES WONYellow 7Blue 12Green 5Red 6

    TABLE 4DIAGRAM 16

    Which team does P represent ?

    A Yellow TeamB Blue TeamC Green teamD Red Team

    72

    P

    QR

    S

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    38 Diagram 17 shows a composite solid of a cylinder and a hemisphere.

    DIAGRAM 17

    If the diameter and the volume of the solid are 12 cm and 864 respectively, calculatethe length x, in cm, of the solid.

    A 20 cmB 24 cmC 26 cm

    D 30 cm

    39 In Diagram 18, O is the centre of the circle.

    DIAGRAM 18

    Given that JOM and HJN are straight lines, the value of xis

    A 130B 70C 50D 30

    x cm

    120 120

    x

    K

    L

    M

    NJH

    O

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    40 The diagrams below show 4 different brands of butter with labels showing prices andquantities.Which one is considered the best buy ?

    A

    B

    C

    D

    END OF QUESTION PAPER

    BUTTERRM7.60500g

    BUTTERRM5.70300g

    BUTTERRM2.30200g

    BUTTERRM1.20100g