# Mathematics Grade 10 P2 Gauteng November 2023 Memo (Afr)

> Grade 10 Mathematics Paper 2 memorandum from the Gauteng November Exam 2023 (Afrikaans), 8 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr-10-mathematics-p2-english-and-afrikaans-2023-possible-answers/1a80b1e1-bcec-4031-8f2d-d4f33a3885c8
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Memorandum
- Year: 2023
- Exam period: Gauteng November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 8

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## About this document

Mathematics · Grade 10 · Gauteng November Exam · 2023 · Afrikaans. Memorandum, 8 pages. Read online or download the PDF.

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## Document text

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### Page 1

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            PROVINCIAL EXAMINATION
                  PROVINSIALE EKSAMEN
                      NOVEMBER 2023
                      GRADE/GRAAD 10
                  MARKING GUIDELINES
                    NASIENRIGLYNE

           MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 2)

8 pages/bladsye

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                     MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                     NASIENRIGLYNE       (PAPER/VRAESTEL 2) GRADE/GRAAD 10

QUESTION/VRAAG 1

1.1 32                                              ✓ Answer/Antwoord        (1)

1.2 1.2.1 mean temperature/gemiddelde temperatuur

             sum of values/som van waardes
                                                    ✓ Method/Metode
            number of values/aantal waardes
                                                    ✓ Answer/Antwoord
            500
            20
            = 25                                                             (2)

      1.2.2 Range/omvang = Max – Min/Maks. – Min    ✓ Answer/Antwoord
                  = 40 – 22 = 18                                             (1)

      1.2.3 IQR/IKO = Q3 – Q1/K3 – K1               Q3/K3 ✓
                    = 36,5 – 27                     Q1/K1 ✓
                    = 9,5                           ✓ Answer/Antwoord        (3)

1.3

                                                    ✓ Shape/Vorm

                                                    ✓ Quartiles/Kwartiele    (2)

1.4    20                                           ✓ Method/Metode
          x 20 = 4
      100
      37 C                                        ✓ Answer/Antwoord        (2)
                                                                            [11]

                                              2

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                     MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                     NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

QUESTION/VRAAG 2

2.1 77                                                     ✓ Answer/Antwoord            (1)

2.2 110  x < 125                                          ✓ Answer/Antwoord            (1)

2.3 110  x < 125                                          ✓✓ Answer/Antwoord           (2)

2.4   31
         x 100%                                            ✓ Method/Metode
      77
      = 41,33%                                             ✓ Answer/Antwoord            (2)

2.5
      x =
               fx                                         ✓ Method/Metode
              f
             9242,5                                        ✓ Substitution/Vervanging
         =
               77
         = 120,03                                          ✓ Answer/Antwoord            (3)

2.6                      31
      angle/hoek =          x 360                         ✓ Method/Metode
                         77
              = 144,94                                     ✓ Answer/Antwoord            (2)
                                                                                       [11]

QUESTION/VRAAG 3

3.1 3.1.1       PT =      x2 − x1) 2 + ( y2 + y1 ) 2

                     =    (2 − 10) 2 + (9 + 3) 2            Correct substitution/
                                                             Korrekte vervanging
                     =    ( −8) 2 + (12) 2
                     =    64 + 144
                     =    208                               Answer/Antwoord            (2)

      3.1.2            −3 −9
                mPT = 10                                    Correct substitution/
                         − 12
                                                             Korrekte vervanging
                mPT = −12
                       8
                mPT = − 3                                   Answer/Antwoord
                            2                                                           (2)

                                                       3

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                    MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                    NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

     3.1.3     mPT = mAR
                   = −3                                  Answer/Antwoord
                                2                                                     (1)

     3.1.4     M = ( xP + xT ; yP + yT )
                            2           2                Substitute/Vervang
               M = ( 2 + 10 ; 9 − 3 )                    x = 6 and/en
                       2        2
               M (6 ; 3)                                y=3                          (3)

3.2 y = mx + c                                           Correct substitution/
    Sub/verv.: (2;9): …9 = − 3 (2) + c                    Korrekte vervanging
                                            2            Value/Waarde
     c = 12                                              Answer/Antwoord             (3)

3.3 mPT x mAR = –1
              −13 − ( −3)                                Gradient of/Gradiënt van
     −2 =
      3        10 + n                                     AR = − 3
                                                                  2
     –2(10 + n) = –30                                    Correct substitution/
     –20 – 2n = –30                                       Korrekte vervanging
     2n = 10
     n=5                                                 Answer/Antwoord             (3)

3.4 RT =       x2 − x1) 2 + ( y2 + y1 ) 2
                                                         Correct substitution/
        =      (10 − 5) + ( −3 + 13)
                        2                       2         Korrekte vervanging

        =      (5) 2 + (10) 2                           ✓ 125
        =      25 + 100
                                                         Correct substitution/
        = 125
                                                          Korrekte vervanging
      Area of RMT = 1 bh
                                    2
     = 1 (2 13 )(5 5 )
       2
     = 40,31 units2/eenhede2                             Answer/Antwoord             (4)
                                                                                     [18]

                                                    4

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                   MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                   NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

 QUESTION/VRAAG 4

4.1 4.1.1     4sin 65                         Answer/Antwoord
              = 3,63                                                         (1)

      4.1.2   cos 2 (32 − 10 )
                                               Simplification to ratios/
                    tan 22 2                    Vereenvoudiging na
                                                verhoudings
              cos 2 22
               tan 22
              0,859669 ...
              0,40402 ...
              = 2,13                           Answer/Antwoord              (2)

4.2 3sin( θ2 – 20) = 0,85
    sin( θ – 20) = 0,283333 ...               0,283333
          2
      θ – 20 = 16, 459 ... 
      2                                        θ – 20 = 16, 459 ... 
                                                 2
      θ = 36, 459 ... 
      2                                        θ = 36, 459 ... 
                                                2
       = 72,92                               Answer/Antwoord              (4)

4.3   cos 45 + 5cosec
      sin 45
      90 x 3tan230
                                              ✓ 22
        2
       2 + 5 x 3( 1 ) 2                        15
        2 1        3                          ✓ 3( 1 )2
                                                     3
       2
                                               Answer/Antwoord
      =1+5x1=6                                                               (4)
                                                                            [11]

                                      5

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                        MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                        NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

QUESTION/VRAAG 5

5.1.   5cos = –3
       cos = – 3
                        5

                                                           ✓ Correct diagram and
                                                             quadrant/Korrekte diagram
                                                             en kwadrant

       (5)2 – 32 = y2                  Pythagoras
                                                           y = –4
       y = –4
       sin 
       =–4                                                 ✓ Answer/Antwoord
              5                                                                           (3)

5.2    tan2 – cot 2
                    2                                      ✓ Correct substitution/
              − 4  –  − 3 
                                   2
         
       = 
             − 3   − 4                                Korrekte vervanging

       = 16 – 9                                            ✓ Answer/Antwoord
          9 16
       = 175
          144                                                                             (2)
                                                                                          [5]

QUESTION/VRAAG 6

6.1    a = –1                                           ✓ a = –1
       p=2                                              ✓p=2
       q=2                                              ✓q=2                              (3)

6.2    90  x  270 OR/OF  R [90 ; 270]            ✓ Values/Waardes
                                                        ✓ Inequalities/Ongelykhede        (2)

6.3    x = 0 or/of x = 45 or/of x = 360              ✓✓ each x-value/elke x-waarde     (3)

6.4    1y3;yR                                        ✓ Values/Waardes
                                                        ✓ Inequalities/Ongelykhede        (2)
                                                                                         [10]
                                                    6

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                     MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                     NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

QUESTION/VRAAG 7

7.1                                                             ✓ Tan ratio/Tan-verhouding
      tan 44,3 = = DC
                     12 m                                       ✓ Simplification/
      DC = 12 tan 44,3                                           Vereenvoudiging
      DC = 11,71 m                                              ✓ Answer/Antwoord          (3)

7.2 AC = 2 x DC = 23,42 m                                       ✓ CA from 7.1/CA van 7.1
    tan ABˆ C =
                23,42                                           ✓ tan ABˆ C
                     12
      ABˆ C = 62,87
       = 62,87 – 44,3 = 18,57.                             ✓ Answer/Antwoord
      The spotlight will need to swing 18,57./Die kollig sal
      18,57 moet swaai.                                                                   (3)
                                                                                           [6]

QUESTION/VRAAG 8

8.1 8.1.1 3x + 2x + x = 180 sum of <s of a triangle/           ✓S    ✓R
          som e van 
          x = 30                                                                          (2)

      8.1.2 • Scalene triangle/Ongelyksydige driehoek           ✓S     ✓R
            • three different angles/drie verskillende hoeke                               (2)

8.2   B̂1 = B̂3 given/gegee                                     ✓S
                                                                ✓S ✓R
      Â = Ĉ angles opp equal sides/e teenoor gelyke sye      ✓ S/R
      Ê1 = Â + B̂1 ext < of a /buitehoek van ŉ              ✓S

      D̂ 2 = Ĉ + B̂3 ext < of a /buitehoek van ŉ 
       Ê1 = D̂ 2                                                                          (5)
                                                                                           [9]

                                                  7

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                      MARKING GUIDELINES/ MATHEMATICS/WISKUNDE
                      NASIENRIGLYNE       (PAPER/VRAESTEL 2)GRADE/GRAAD 10

QUESTION/VRAAG 9                                                                     [19]

9.1   D̂1 = B̂2 Alt <s A D ‖ BC/verw. binne e ; AD ‖ BC               ✓S   ✓R

      Ô1 = Ô3   vertically opp <s/regoorstaande e                   ✓S   ✓R
      AD = BC opp sides of a parm/teenoorst sye van ŉ parm             ✓S
      AOD  COB AAS/s
      DO = OB and/en AO = OC                                         ✓R             (6)

9.2 9.2.1 SP = SR sides of square/sye van vierkant                     ✓S   ✓R
             P̂ = Ŝ <s of square = 90/e van vierkant = 90          ✓S   ✓R

             PY = SX                                                   ✓S

             SPY  RSX         SAS/SS                              ✓R             (6)

      9.2.2 Ŝ1  x    s                                             ✓S   ✓R        (2)

      9.2.3 Ŝ1 + Ŝ2 = 90 <s of square = 90/e van vierkant = 90 ✓ S    ✓R

             Ŝ2 = 90 – x
                                                                       ✓S   ✓R
             Ô 2 + Ŝ2 + R̂ 2 = 180 sum of int < of /som e van 
             Ô 2 + 90 + –x + x = 180
             Ô 2 = 90
                                                                       ✓S
              SY ⊥ RX                                                                 (5)
                                                                                     [19]

                                                                       TOTAL/TOTAAL: 100

                                                 8

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