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SULIT



              JABATAN PELAJARAN PERAK



PEPERIKSAAN PERCUBAAN PMR TAHUN 2010
MATHEMATICS                                     50
September
2010




                      MATHEMATICS


                 PERATURAN PEMARKAHAN




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ANSWER
    MATHEMATICS PAPER 1

      QUESTION
                   ANSWER
       NUMBER
          1           A
          2           C
          3           B
          4           A
          5           A
          6           D
          7           A
          8           D
          9           C
         10           C
         11           D
         12           B
         13           C
         14           A
         15           D
         16           A
         17           C
         18           B
         19           B
         20           C
         21           B
         22           A
         23           B
         24           D
         25           A
         26           D
         27           D
         28           B
         29           A
         30           A
         31           C
         32           D
         33           B
         34           B
         35           D
         36           C
         37           C
         38           D
         39           B
         40           D



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MARKING SCHEME
                                            MATHEMATICS PAPER 2

No                                     Solution and Mark Scheme          Sub    Full
                                                                         Mark   Mark
1    37   6                                                               K1
        ×                or equivalent
     15 37
     2                                                                           2
                                                                          N1
     5
2                    8
     (a)        −                                                         K1
                    27
                          3
                1   
     (b)         ×6             or   23                                 K1
                3   
                8                                                         N1     3
3

                                                                  Q




                                                             M




                              P




     Image correct                                                        N2

     Note:
           1.       Award N1:
                    Any two sides drawn correctly       or
                    Correct image drawn using dotted lines or

No                                     Solution and Mark Scheme          Sub    Full




                                       http://chngtuition.blogspot.com
Mark   Mark
                Correct image drawn by sketching
                                                           1
           2.   Allow gaps or extension lines ≤              of the square grid.
                                                           4                               2

4    (a)        Clockwise // Arah jam                                               P1

     (b)        ( – 1, 2)       or   marked on the diagram                          P1     2

5
                            C                              H




                                                       F   G



                                           D       E


                                                           K




                                               J




                            C                              H




                                                   F       G



                                           D       E


                                                           K




                                       J




No                              Solution and Mark Scheme                           Sub    Full
                                                                                   Mark   Mark



                                http://chngtuition.blogspot.com
Quadrilateral JKLMNO drawn correctly                        N2
     Note:
           1. Award N1
              Any one corresponding side drawn correctly   or
              Correct image drawn using dotted line        or
              Correct image drawn by sketching                          2
6    4x = 3y + 5                                                 P1

             3y + 5                   3    5
       x=               or       x=     y+
               4                      4    4                     N1     2


7    (a)      y = –9                                             N1

     (b)      2m = – 14                                          K1
               m =–7                                             N1     3

8    6(x2 – 4 )                                                  P1
     6( x – 2)(x + 2)                                            N1     2

9    (a)     3 – 4y                                              N1
     (b)     7x + 2y – 4x + 4y                                   K1
              3x + 6y                                            N1     3




No                           Solution and Mark Scheme           Sub    Full
                                                                Mark   Mark

10




                             http://chngtuition.blogspot.com
K2     3
     3 corresponding sides correctly drawn                   N1
     Complete diagram with correct scale

     Note:
        1. 2 corresponding sides correct – award K1


11
                                         A




                      C                                B




No                          Solution and Mark Scheme        Sub    Full
                                                            Mark   Mark
     (a)   (i)   locus of X correctly drawn                  K1




                          http://chngtuition.blogspot.com
(ii)    locus of Y correctly drawn                    K1
                                                                        3
     (b)   Intersection correctly marked                         N1

12   3m – (2 – 3m)            or       equivalent                K1

     6m − 2
                        or         equivalent                    K1
     12 mn

     3m −1
                                                                 N1     3
      6mn

13   x<3                                                         K1

     x ≥ −2                                                      K1

     Note:        −2 ≤ x <3     award K2

     –2, –1, 0, 1, 2                                             N1     3

14   (a)          70o                                            N1

              PS   8                                             K1
     (b)         =
               3   4

                                                                 K1
              PS = 6

              Note :         6 seen on the diagram – award K2

              QS = 3                                             N1     4




No                              Solution and Mark Scheme        Sub    Full
                                                                Mark   Mark
15   (a)      History = 95o                                      N1
              Geography = 80o                                    N1



                              http://chngtuition.blogspot.com
(b)         Any two sector drawn correctly                       K2
                 Pie chart drawn completely and labelled correctly    N1
     Note: No label/ wrongly label – N0                                      5

                 Accuracy ± 1°


16   (a)        Correct and uniform scale                             K1
     (b)         All 7 points plotted correctly                       K2
     (c)        Smooth curve passing through 7 plotted points         N1     4
     Note:
           1.    5 or 6 points plotted correctly    - K1N0
           2.    For other scale used, deduct 1 mark from K2N1


17   (a)        58o ± 1o                                              N1
     (b)         Construct 60o at P correctly                         K1
                Construct 90o at Q correctly                          K1
                Construct line segment QR = 5 cm                      K1
                Construct line segment PS = line PQ                   K1
                Diagram drawn complete and correct                    N1     6




No                              Solution and Mark Scheme             Sub    Full
                                                                     Mark   Mark
18   (a)        k3                                                    N1
     (b)        p2q6       or     p2 – 2   or      q6 – 4             K1
                q2                                                    N1     3




                                http://chngtuition.blogspot.com
19                                                                                              K1
                                                      (2         )
      1   1
                                      1                             1
     3 ×3 2
     
     
               
               
               
                        or     ( 4 × 3) 2        or        2
                                                               ×3    2

               1                                       3 1
                        or     3 ×6         or          +
                                                                         or   3 2 × 21   or 9
     31 × 36 2                                        32  2
                                                               × 21
     ×2                                                                                         K1
                                                                                                     3
     18                                                                                         N1


20   QS = 6        or        PQ = 12        or        seen on the diagram                       P1
     13                                                                                         N1   2




                               http://chngtuition.blogspot.com
1     0



                     8



                     6



                     4



                     2



                                                      x
-   2   -   1    0             1   2          3   4


                     - 2




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