Teknk menjawab soalan mathematcs pmr

Embed Size (px)

Citation preview

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    1/62

    TEKNIK MENJAWABSOALAN KERTAS 2

    MATEMATIK

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    2/62

    2/5/2013 2

    Tiada kaedah yangkhusus untuk menjawabsoalan Mathematics

    - semua kaedah yang

    betul, diterima.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    3/62

    2/5/2013 3

    A = (a + b)h

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    4/62

    2/5/2013 4

    A(rectangle) = l x wA(triangle) = x b x h

    tolakkan

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    5/62

    2/5/2013 5

    A(rectangle) = l x wA(triangle) = x b x h

    jumlahkan

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    6/62

    2/5/2013 6

    Mulai 2004

    diperkenalkan

    format baru.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    7/62

    2/5/2013 7

    Format baruKERTAS 1

    1 jam 15 minit40 soalan40 markah

    20 soalan SENANG

    16 soalan SEDERHANA

    4 soalan SUSAH

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    8/62

    2/5/2013 8

    Format baruKERTAS 2

    1 jam 45 minit20 soalan60 markah

    30 markah dari soalan SENANG

    12 markah dari soalan SEDERHANA

    18 markah dari soalan SUSAH

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    9/62

    2/5/2013 9

    PERSEMBAHAN

    JAWAPAN

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    10/62

    2/5/2013 10

    Kaedah dalam

    mendapatkan jawapanlangkah kerja mestilah ditunjukkan

    dengan jelas.

    jika terus kepada jawapan, calon tidakakan menerima sebarang markah.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    11/62

    2/5/2013 11

    Calculate the value of0.9(0.4 + ) and

    express the answer as a decimal.

    10

    7

    =0.9(0.4 + 0.7)

    = 0.9( 0.3)

    =0.90.3

    =1.2

    Mungkin disini

    markah pertama

    akan diberi

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    12/62

    0.9(0.4 + )

    2/5/2013 12

    2.1

    10

    12

    10

    3

    10

    9

    10

    7

    10

    4

    10

    9

    10

    7

    F

    R

    A

    CT

    I

    O

    N

    S

    DECIMAL

    calon boleh melakukan jalan kerja dalam bentuk

    apa pun.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    13/62

    2/5/2013 13

    3(a) Find the value of (1 9)2

    (b) Calculate the value of

    3

    362

    1

    Answer/jawapan :

    (a)

    (b)

    3 marks

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    14/62

    2/5/2013 14

    3(a) Find the value of (1 9)2

    (b) Calculate the value of

    3

    362

    1

    Answer/jawapan :

    (a) 4

    (b)

    3 marks

    Boleh terus beri jawapan

    sebab hanya 1 markah

    untuk bahagian ini.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    15/62

    2/5/2013

    3(a) Find the value of (1 9)2

    (b) Calculate the value of

    3

    362

    1

    Answer/jawapan :

    (a) 4

    (b)3

    62

    1

    3327

    3 marks

    Mesti buat jalan kerja

    sebab bahagian ini

    akan diberi 2 markah.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    16/62

    2/5/2013 16

    Jawapan mestilah

    dalam bentuk yang

    paling ringkas

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    17/62

    2/5/2013 17

    4x + 3 = 134x = 133 4x = 10

    x =410

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    18/62

    2/5/2013 18

    4x + 3 = 13

    4x = 133 4x = 10

    x = 2.5or2

    12or

    2

    5

    4

    10

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    19/62

    2/5/2013 19

    PERSEMBAHAN JAWAPAN

    4x + 1 = 21

    4x = 211

    4x = 20

    1

    5

    4

    20x

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    20/62

    2/5/2013 20

    PERSEMBAHAN JAWAPAN

    4x + 1 = 21

    4x = 211

    4x = 20

    51

    5

    4

    20x

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    21/62

    2/5/2013 21

    PERSEMBAHAN JAWAPAN

    2

    3

    2

    3

    2

    3

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    22/62

    2/5/2013 22

    PERSEMBAHAN JAWAPAN

    12x = 4

    2x = 412x = 3

    x =

    2

    3

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    23/62

    2/5/2013 23

    PERSEMBAHAN JAWAPAN

    12x = 4

    2x = 412x = 3

    x =

    2

    3

    2

    3

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    24/62

    2/5/2013 24

    PERSEMBAHAN JAWAPANSimplify 2p3q(p + 5q)

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    25/62

    2/5/2013 25

    PERSEMBAHAN JAWAPANSimplify 2p3q(p + 5q)

    = 2p3qp5q= 1p8q

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    26/62

    2/5/2013 26

    TRANSFORMATION

    (Penjelmaan)

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    27/62

    2/5/2013 27

    TRANSFORMATION

    Describe the transformation

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    28/62

    2/5/2013 28

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    29/62

    2/5/2013 29

    Translation

    2

    5

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    30/62

    2/5/2013 30

    Translation

    Translation

    25

    2

    5

    x = 5 units

    y = - 2 units

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    31/62

    2/5/2013 31

    S

    R

    Q

    P

    P

    Q

    R

    S

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    32/62

    2/5/2013 32

    Rotation 90o clockwise

    about point K.

    Putaran 90o ikut arah jam pada

    pusat titik K.

    Rotation, 90o

    ,clockwise,point K.Putaran, 90o, ikut jam, pusat K.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    33/62

    2/5/2013 33

    Penggunaan

    KERTAS SURIH(Tracing Paper)

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    34/62

    Draw the image of ABCD under Rotation 90o

    clockwise about point P.

    2/5/2013 34

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    35/62

    2/5/2013 35

    P

    D

    CB

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    36/62

    2/5/2013 36

    P

    D

    CB

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    37/62

    2/5/2013 37

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    38/62

    2/5/2013 38

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    39/62

    2/5/2013 39

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    40/62

    P

    2/5/2013 40

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    41/62

    2/5/2013 41

    P

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    42/62

    2/5/2013 42

    CONGRUENT

    keserupaan

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    43/62

    2/5/2013 43

    Diagram in the answer space

    shows polygon ABCDEF andstraight line PQ drawn on a grid ofequal squares.

    Starting from the line PQ, drawpolygon PQRSTU which iscongruent to polygon ABCDEF.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    44/62

    2/5/2013 44

    Q

    P

    F

    E D

    C B

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    45/62

    2/5/2013 45

    Diagram in the answer space

    shows polygon ABCDEF andstraight line PQ drawn on a grid ofequal squares.

    Starting from the line PQ, drawpolygon PQRSTU which iscongruent to polygon ABCDEF.

    ABCDEFPQRSTU

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    46/62

    2/5/2013 46

    Q

    P

    F

    E D

    C B

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    47/62

    2/5/2013 47

    Q

    P

    F

    E D

    C B

    A

    F

    E D

    C B

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    48/62

    2/5/2013 48

    LetakkanA pada P

    dan

    B pada Q

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    49/62

    2/5/2013 49

    Q

    P

    F

    E D

    C B

    A

    F

    ED

    CB

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    50/62

    2/5/2013 50

    Q

    P

    F

    E D

    C B

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    51/62

    2/5/2013 51

    C B

    A

    B

    A

    C

    y

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    52/62

    2/5/2013 52

    Reflection about y-axis.Reflection, y-axis.

    Pantulan pada paksi-y.

    Pantulan, paksi-y.

    I di PQRS i th i f PQRS d

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    53/62

    2/5/2013 53

    In diagram, PQRS is the image of PQRS under atransformation W.

    [2 marks]

    P P

    Q Q

    S S

    R RDescribe in fully transformation W.

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    54/62

    2/5/2013 54

    In diagram, PQRS is the image of PQRS under atransformation W.

    [2 marks]

    P P

    Q Q

    S S

    R RDescribe in fully transformation W.

    A

    B

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    55/62

    2/5/2013 55

    Reflection at AB

    Reflection about AB

    Pantulan pada garis AB

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    56/62

    2/5/2013 56

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]A

    BC

    D

    DC

    B

    A

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    57/62

    2/5/2013 57

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]

    A

    BC

    D

    DC

    B

    A

    Tajam

    i i h h d il l A C d

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    58/62

    2/5/2013 58

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]

    A

    BC

    D

    DC

    B

    A

    Tajam

    Di i h h d il l ABCD d

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    59/62

    2/5/2013 59

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]

    A

    BC

    D

    DC

    B

    A

    Di i h h d il l ABCD d

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    60/62

    2/5/2013 60

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]

    A

    BC

    D

    DC

    B

    A

    Ini

    jawapan

    sebenarnya

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    61/62

    Jangan gunakan compasses untuk

    membina axis of reflection.

    Di i th h t d il t l ABCD d

  • 7/29/2019 Teknk menjawab soalan mathematcs pmr

    62/62

    Diagram in the answer space shows two quadrilqterals, ABCD and

    ABCD, drawn on a grid of equal squares. ABCD is the image ofABCD under a reflection. On the diagram in the answer space, draw the

    axis of reflection. (PMR 2005)

    [2 marks]

    A

    BC

    D

    DC

    B

    A

    Jangan

    bina axis

    yang

    pendek