# Mathematics Grade 11 Paper 2 Eastern Cape November 2024 Memo

> Grade 11 Mathematics Paper 2 memorandum from the Eastern Cape November Exam 2024, 17 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-p2-grade-11-nov-2024-eng-afr-marking-guideline-watermark/0f16be7d-4a28-41e1-9e8d-57c649490c1c
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Document type: Memorandum
- Year: 2024
- Exam period: Eastern Cape November Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 17

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## About this document

Mathematics · Grade 11 · Eastern Cape November Exam · 2024. Memorandum, 17 pages. Read online or download the PDF.

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### Page 1

NATIONAL
                     SENIOR CERTIFICATE
                          NASIONALE
                      SENIORSERTIFIKAAT

                        GRADE/GRAAD 11

                       NOVEMBER 2024

           MATHEMATICS P2/WISKUNDE V2
          MARKING GUIDELINE/NASIENRIGLYN

MARKS/PUNTE:   150

                     This marking guideline consists of 17 pages.
                     Hierdie nasienriglyn bestaan uit 17 bladsye.

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### Page 2

2                                          MATHEMATICS P2/WISKUNDE V2                        (EC/NOVEMBER 2024)

QUESTION 1 / VRAAG 1

    Data Set / Datastel:

          16             28          41          41         42         52             54
          55             58          59          60         62         64             99

    1.1        Mode / Modus = 41                                                 ✓ mode / modus                       (1)
    1.2        Outlier / Uitskieter = 99                                         ✓ outlier / uitskieter               (1)
                                54 + 55                                          ✓ dividing a sum by 2
    1.3        Median / Mediaan =
                                   2                                               deel ŉ som deur 2
               Median / Mediaan = 54,5          (Answer only full marks)        ✓ answer / antwoord
                                                 (Slegs antwoord – volpunte)                                          (2)
    1.4        Q1 = 41                                                           ✓ Q1

               Q3 = 60                                                           ✓ Q3

               IQR / IKW = Q3 − Q1 = 60− 41
                                      =19                                        ✓ answer / antwoord
                                                                                                                      (3)
    1.5

                                                                                 ✓correct min and max
                                                                                  korrekte min en maks

                                                                                 ✓ correct box and
                                                                                   whisker diagram.
                                                                                   korrekte mond-en-
                                                                                   snordiagram
                                                                                                                      (2)
    1.6        The data is skewed to the left or negatively skewed.              ✓ for the correct
               Die data is skeef na links of negatief skeef.                       comment
                                                                                   vir korrekte
                                                                                   opmerking                          (1)
                                                                                                                     [10]

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### Page 3

(EC/NOVEMBER 2024)                                         MATHEMATICS P2/WISKUNDE V2                                  3

QUESTION 2 / VRAAG 2

 2.1         Weight of players         Frequency                          Cumulative frequency          ✓ 4 and/en
             Gewig van boksers         Frekwensie                        Kumulatiewe frekwensie         13
                35  x  55                1                                       1
                55  x  75                3                                       4
                                                                                                        ✓ 19 and/en
                75  x  95                9                                      13
                                                                                                        22
                95  x  115               6                                      19
               115  x  135               3                                      22
               135  x  155               1                                      23                                            (2)
 2.2     The total number of boxers is 23                                                               ✓ for
         Die totale aantal boksers is 23                                                                answer/
                                                                                                        vir antwoord            (1)
 2.3          1 45 + 3  65 + 9  85 + 6  105 + 3  125 + 1 145                                      ✓ f x xi
          x=
                                       23
              2155                                                                                       2 155
            =
               23
                                                                                                         answer/
          x = 93,70
                                                                                                          antwoord              (3)
 2.4
                                                Cumulative frequency graph (ogive)
                                               Kumulatiewefrekwensiegrafiek (ogief)
                                     25                                                                 ✓ correct
                                                                                                        grounding/
                                                                                                        korrekte
                                     20

             Cumulative Frequency
                                                                                                        anker

                                     15                                                                 ✓ plotting
                                                                                                        against the
                                                                                                        upper limits/

            Kumulatiewe Frekwensie
                                     10                                                                 afsteek by
                                                                                                        boonste
                                      5                                                                 limiete

                                      0                                                                 ✓ correct
                                          15    35      55     75    95 115 135 155          175        shape/
                                                     Mass in kilograms / Gewig in kilogram              korrekte
                                                                                                        vorm
                                                                                                                                (3)
 2.5     No. of boxers in the interval of 75 x  100 will be 15 − 4 = 11                                15 or/of
         Aantal boksers in die interval 75 x  100 sal 15 − 4 = 11wees                                 reading from
                                                                                                        the graph /
                                                                                                        lees vanaf
                                                                                                        die grafiek
                                                                                                         answer /
                                                                                                           antwoord             (2)
                                                                                                                               [11]

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### Page 4

4                                   MATHEMATICS P2/WISKUNDE V2                   (EC/NOVEMBER 2024)

QUESTION 3 / VRAAG 3
MARKING GUIDELINE FOR: R(3;4)

3.1            4−0                                        correct substitution/
        mPR =                                              korrekte vervanging
               3−0
               4
             =                                            answer / antwoord
               3                                                                                  (2)
3.2            4
         mPR =     (P, O and R are collinear points)
               3                                          gradient of/ gradiënt van PR
                   (P, O en R is saamlynige punte)

                 4                                        substitution by R or O/
         y−4=      ( x − 3)                                vervanging met R of O
                 3
                 4                                        equation of PR/
               = x
                 3                                         vergelyking van PR                     (3)
3.3                4                                      for equating the equations/
        6 x + 14 = x
                   3                                       vir gelykstelling van
                 4                                         vergelykings
          6 x − x = − 14
                 3
                                                          simplification/
        14
            x = − 14                                       vereenvoudiging
         3
        x = −3

        y = 6 ( −3) +14
        y = −4                                            x–value/waarde
        P ( −3; − 4 )                                     y–value/waarde                        (4)
3.4     0 = 6 ( x ) + 14                                  y=0
               7
        x=−                                               x-coordinate/
               3
                                                           x-koördinaat
             7 
         S − ; 0 
             3                                                                                 (1)
                                                                                                [10]

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### Page 5

(EC/NOVEMBER 2024)                         MATHEMATICS P2/WISKUNDE V2                                5

MARKING GUIDELINE FOR: R(2;3)

3.1                    3−0                                    correct substitution/
         mPR =
                       2−0                                     korrekte vervanging
                   3
               =                                              answer / antwoord
                   2                                                                                  (2)
3.2                3
        𝑚𝑃𝑅 = 2          (P, O and R are collinear points)
                                                              gradient of/ gradiënt van PR
                         (P, O en R is saamlynige punte)
                       3                                      substitution by R or O/
        𝑦−3=             (𝑥 − 2)                               vervanging met R of O
                       2
                                                              equation of PR/
                3                                              vergelyking van PR
               =  𝑥                                                                                   (3)
                2
3.3               3                                           for equating the equations/
        6𝑥 + 14 = 𝑥
                  2                                            vir gelykstelling van
             3                                                 vergelykings
        6𝑥 − 𝑥 = −14
             2
        9                                                     simplification/
          𝑥 = −14
        2                                                      vereenvoudiging
              28
        𝑥=−
               9
                       28
        𝑦 = 6 (−          ) + 14
                        9                                     x–value/waarde
              14
        𝑦=−
               3                                              y–value/waarde
            28   14
        𝑃 (− ; − )
             9    3                                                                                  (4)
3.4     0 = 6 ( x ) + 14                                      y=0
               7
        x=−                                                   x-coordinate/
               3
                                                               x-koördinaat
             7 
         S − ; 0 
             3                                                                                     (1)
                                                                                                    [10]

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### Page 6

6                                   MATHEMATICS P2/WISKUNDE V2                    (EC/NOVEMBER 2024)

QUESTION 4 / VRAAG 4

    4.1.1        −7+3 0+8
            M=          ;
                   2      2
               = −2 ; 4
                                                              x-value/waarde
               P(− 2 ; 4)                                     y-value/waarde                     (2)
    4.1.2        8−0                                          substitution / vervanging
            m=
                 3+ 7
                 4
               =                                              answer / antwoord
                 5                                                                                (2)
    4.1.3           4
            tan  =
                    5                                                 4
                                                              tan  =
                 = 38,66 0                                           5
                                                              answer / antwoord                  (2)
    4.2            4−2
            mPQ =                                             correct substitution/
                       1
                  −2 +                                         korrekte vervanging
                       2
                   4
                =−                                            answer / antwoord
                   3
                              4
            𝑚BC = 𝑚PQ = −               gradients||lines =    gradient of BC/
                              3                                gradiënt van BC
                                        𝑔𝑟𝑎𝑑𝑖ë𝑛𝑡𝑒||𝑙𝑦𝑛𝑒 =
                     4                                        substitute B(3 ; 8) and m
            𝑦 − 8 = − (𝑥 − 3)                                  vervang B(3 ; 8) en m
                     3
                 4
            𝑦 = − 𝑥 + 12                                      equation / vergelyking
                 3
                                                                                                  (5)

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### Page 7

(EC/NOVEMBER 2024)                      MATHEMATICS P2/WISKUNDE V2                                  7

 4.3.1       4                                        y=0
         −     x + 12 = 0
             3
                    x =9                              x=9

         AC = 16                                       AC = 16                                     (3)
 4.3.2   AB =     (3 + 7) + (8 − 0)
                            2      2

                                                       AB = 164
               = 164
                           1                           correct substitution in A of ΔABC /
         A.of/van ΔABC =  164 16sin 38, 650
                           2                           korrekte vervanging in A van ΔABC
                        = 63,99                        63,99
                           1     164                   correct substitution in A of ΔAPQ
         A. of/van Δ APQ =           8sin 38, 650
                           2      2                     korrekte vervanging in A van ΔAPQ
                         = 16, 00                      16,00
                                                       answer / antwoord
         A. of/van PBCQ = 47,99                                                                    (6)
                                                                                                  [20]

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### Page 8

8                                                     MATHEMATICS P2/WISKUNDE V2                         (EC/NOVEMBER 2024)

QUESTION 5 / VRAAG 5

    5.1     − 3 tan  = 5
                       − 5
            tan  =
                        3
                                                                                          − 5
                                                  y                            tan  =
                                                                                           3

                                                           3             x

                                                                    - 5
                                                      14
                                                                               diagram in the correct quadrant
                                                                                diagram in die korrekte kwadrant

                  ( 3) + ( − 5 )
                       2                 2
            r=                                            ( Pyth)
                                                                               for / vir r = 14
              = 14

            sin 2  − cos 2 
                           2                 2
               − 5  3 
            =       −
                       14 
                                                                               substitution / vervanging
                 14 
                 2
            =−                                                                 answer / antwoord
                 7
                                                                                                                           (5)
    5.2     r = x +y
             2     2           2
                                                 ( Pyth)
             (1)2 = (k )2 + ( y )2
            y2 = 1 − k2
            y = 1 − k2

                                       41
                                                      1
                       1 −k        2

                                                            49
                                                  k

    5.2.1   sin 131 = sin (180 − 49)
                     = sin 49
                                                                               sin 49
                       = 1− k 2                                                answer / antwoord                          (2)

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### Page 9

(EC/NOVEMBER 2024)                                                    MATHEMATICS P2/WISKUNDE V2                                          9

 5.2.2   1 − cos 2 410 = sin 2 410                                                                for sin 2 41
                                  = k2                                                            answer / antwoord

                                                 OR/OF                                                         OR/OF

                                         (                )
                                                              2
         1 − cos 2 410 = 1 −                 1− k 2                                               substitution in terms of k/
                                                                                                   vervanging in terme van k
                                  = 1 −1 + k 2
                      = k2                                               answer / antwoord                                                   (2)
 5.3      tan (180 − x ) .cos ( − x ) + sin ( 360 − x ) cos ( 90 − x )
                  0                        2     0

                                             sin (180 − x )
            − tan x. cos x + sin 2 x .sin x                                                       − tan x  cos x
          =
                         sin x                                                                    sin 2 x  sin x
              sin x                                                                                 sin x
            −        .cos x + sin 3 x                                                            
              cos  x                                                                                cos x
          =
                      sin x
            − sin x + sin 3 x
          =                                                                                       simplification/
                 sin x                                                                             vereenvoudiging
            − sin x (1 − sin 2 x )
          =
                    sin x
                                                                                                  answer / antwoord
          = − cos x
                  2
                                                                                                                                              (7)
 5.4              (       )
         sin − 15 . cos 75 + tan 75 . cos 75 . cos 165
                      0                  0                    0          0           0

                                                                                                                  sin 75 0
              (
         = − cos 75 cos 75 +  0
                                  )
                               sin 75 0
                               cos 75 0
                                        . cos 75 0 − sin 75 0
                                             0
                                                                                 (           )    − cos 75 
                                                                                                                  cos 75 0
                                                                                                  − sin 750
         = − cos 75 − sin 75
                2  0     2   0

                  (
         = − cos 2 75 0 + sin 2 75 0                  )                                           common factor/ gemene faktor
         = −1                                                                                     identity / identitieit
                                                                                                    cos2 750 + sin 2 750 = 1

                                                 OR/OF                                                         OR/OF

                  (       )
         sin − 15 0 . cos 75 0 + tan 75 0. cos 75 0. cos 165 0                                    – sin15° and/en sin15°
                                                                                                  cos 150
                                                                                                  sin 150 , [sin15° and/
              (               )                                              (           )
                                                                  0
                                                     cos 15
         = − sin 15 0 .sin 15 0 +                           0
                                                              .sin 15 0 − cos 15 0               en(− cos 1 50 )] 
                                                     sin 15
                                                                                                  common factor/ gemene faktor
         = − sin 2 15 0 − cos 2 15 0                                                              identity / identiteit
                  (
         = − sin 2 15 + cos 2 15                 )                                                 cos2 150 + sin 2 150 = 1
         = −1                                                                                                                                 (5)

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### Page 10

10                                      MATHEMATICS P2/WISKUNDE V2                           (EC/NOVEMBER 2024)

 5.5      3cos x                 3
                   + 3 tan x =
         1 + sin x             cos x

                                                                                              sin x
                             3cos x                                 identity / identiteit
                 LHS / LK =           + 3 tan x                                               cos x
                            1 + sin x
                             3cos x 3sin x
                          =           +
                            1 + sin x cos x
                            3cos 2 x + 3sin x + 3sin 2 x            simplification /
                          =                                          vereenvoudiging
                                  cos x (1 + sin x )
                                3 ( cos 2 x + sin 2 x ) + 3sin x    square identity /
                            =                                        vierkantsidentiteit
                                        cos x (1 + sin x )
                                  3 (1 + sin x )                    common factor /
                            =
                                cos x (1 + sin x )                   gemene faktor
                                  3
                            =
                                cos x                                                                        (4)
 5.6
          sin2 𝑥 − 3 cos2 𝑥 = 0
                                                                    isolating trig ratios/
          sin2 𝑥 = 3 cos2 𝑥
                                                                     isoleer trig. verhoudings
          sin2 𝑥
                  =3
          cos 2 𝑥                                                   tan 2 x = 3
          tan2 𝑥 = 3
          tan 𝑥 = ±√3
                                                                    correct equations/
          𝑥 = ±60°
                                                                     korrekte vergelykings
          𝑥 = 60° + 𝑘. 180 or/𝑜𝑓 𝑥 = −60° + 𝑘. 180°, 𝑘
                         ∈Ζ
                                                                    𝑥 = 60° + 180°. 𝑘
         or/of 𝑥 = 120° + 180° 𝑘, 𝑘 ∈ Ζ                             𝑥 = −60° + 180°. 𝑘, 𝑘 ∈ 𝛧
                                                                   or /of 𝑥 = 12 + 180°. 𝑘, 𝑘 ∈ 𝛧
                                  OR/OF
                                                                                 OR/OF
           sin2 𝑥 − 3 cos2 𝑥 = 0
           sin2 𝑥 − 3(1 − sin2 𝑥) = 0                               cos 2 x =1 − sin 2 x
           sin2 𝑥 − 3 + 3 sin2 𝑥 = 0
           4 sin2 𝑥 − 3 = 0                                        standard form/
                    3                                               standaardvorm
           sin2 𝑥 =
                    4
                     √3                                             correct equations/
           sin 𝑥 = ±                                                 korrekte vergelykings
                      2
           𝑥 = 60° + 360. 𝑘 or/𝑜𝑓 120° + 360°. 𝑘, 𝑘 ∈ Ζ             𝑥 = 60° + 360. 𝑘
           or/𝑜𝑓                                                   𝑥 = 120° + 360°. 𝑘 both
           𝑥 = 240° + 𝑘. 360° or/𝑜𝑓 𝑥 = 300° + 𝑘. 360°             quads/beide kwadrante
                                                                    𝑥 = 240° + 𝑘. 360°
                                                                     𝑥 = 300° + 𝑘. 360°, 𝑘 ∈ 𝛧
                                                                     both quads / beide kwadrante           (5)
                                                                                                           [30]

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### Page 11

(EC/NOVEMBER 2024)                      MATHEMATICS P2/WISKUNDE V2                           11

 QUESTION 6 / VRAAG 6
 6.1 Period is / Periode is 360o                                      answer/
                                                                       antwoord                   (1)
 6.2      y  0 ; 2 or/of    0 y2                                 correct interval/
                                                                      korrekte interval
                                                                      correct notation/
                                                                      korrekte notasie            (2)
 6.3                (             )
         h( x ) = cos 60 + x + 30 + 1
                        0          0

               = cos(90 + x ) + 1
                        0
                                                                      cos(90° + x)
                                                                      − sin x
               = − sin x + 1                                                                      (2)
 6.4

                                                                     h ( x)
                                                                      x-intercept/
                                                                        afsnit

                                                                      y-intercept/
                                                                       y-afsnit

                                                                      correct shape/
                                                                       korrekte vorm              (3)
 6.5.1 𝑥 = 150°                                                       answer/
                                                                       antwoord
                                                                                                  (1)
 6.5.2    60° ≤ x ≤ 150°                                              correct interval/
                                                                      korrekte interval
                                                                      correct notation/
                                                                      korrekte notasie            (2)
 6.5.3 𝑥 = 30°                                                        answer/
                                                                       antwoord                 (1)
                                                                                               [12]

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### Page 12

12                                  MATHEMATICS P2/WISKUNDE V2                    (EC/NOVEMBER 2024)

 QUESTION 7 / VRAAG 7

 7.1              5
         cos  =
                 SP
                5                                             5
         SP =                                       SP =
              cos                                          cos 
                                                                                                  (1)
 7.2     PR̂Q =     (alt s ; RQ || SP )           PR̂Q = 
         sin  sin 
              =                                     application of sine rule/
          RP       5
              5sin                                  toepassing van sinusreël
         RP =
               sin 
                                                   answer / antwoord                             (3)
 7.3                             1
           area of/van ΔRPS = (RP)(PS) 𝑠𝑖𝑛 𝛽
                                 2                  correct formula for area rule/
             1 5 𝑠𝑖𝑛 𝛼      5                        korrekte formule vir oppervlaktereël
           = (         )(       ) 𝑠𝑖𝑛 𝛽
             2 𝑠𝑖𝑛 𝛽      𝑐𝑜𝑠 𝛼                     substitution / vervanging
             25 𝑠𝑖𝑛 𝛼
           =
              2 𝑐𝑜𝑠 𝛼
                                   25 𝑡𝑎𝑛 𝛼         simplification / vereenvoudiging
           ∴ area of/van ΔRPS =
                                       2

                                                                                                  (3)
                                                                                                  [7]

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### Page 13

(EC/NOVEMBER 2024)                      MATHEMATICS P2/WISKUNDE V2                              13

 QUESTION 8 / VRAAG 8

 8.1    (ℎ𝑠 )2 = 𝑟 2 + ℎ2                                       correct formula/
        (13)2 = (5)2 + ℎ2                                        korrekte formule
           ℎ2 = 169 − 25                                        substitution/
           ℎ2 = 144                                              vervanging
             ℎ = 12 cm
                                                                answer / antwoord
                                                                                                  (3)
 8.2    height of the wholeshape / hoogte van die hele vorm
        =r +h
        = 5 + 12                                                answer / antwoord
        = 17cm                                                                                    (1)
 8.3    volume of the whole shape / volume van die hele vorm
          2        1                                            correct formula/
        =  r 3 +  r 2h                                         korrekte formule
          3        3
           2         1
        =  ( 5 ) +  ( 5 ) (12 )
                  3        2
                                                                substitution/
           3         3                                           vervanging
           550
        =      
            3
        = 575,96 cm3                                            answer / antwoord
                                                                                                  (3)
 8.4    outer surface area of the whole shape/                  correct formula/
        𝑏𝑢𝑖𝑡𝑒 − 𝑜𝑝𝑝𝑒𝑟𝑣𝑙𝑎𝑘𝑡𝑒 𝑣𝑎𝑛 𝑑𝑖𝑒 ℎ𝑒𝑙𝑒 𝑣𝑜𝑟𝑚                    korrekte formule
        = 2𝜋𝑟 2 + 𝜋𝑟ℎ𝑠                                          substitution/
        = 2𝜋(5)2 + 𝜋(5)(13)                                       vervanging
        = 115𝜋
        = 361,28 cm2                                            answer / antwoord               (3)
                                                                                                [10]

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### Page 14

14                                  MATHEMATICS P2/WISKUNDE V2                    (EC/NOVEMBER 2024)

 QUESTION 9 / VRAAG 9
 9.1.1

         Construction: Draw AO and OC                             constructions

                 𝑂̂1 = 2𝐵̂ [∠at centre = 2 × ∠at circumf]         S/R
                 𝑂̂2 = 2𝐷̂ [∠at centre = 2 × ∠at circumf]
                                                                 S
                 ∴ 𝑂̂1 + 𝑂̂2 = 3600 [∠𝑠 around a point]
                 ∴ 2𝐵̂ + 2𝐷 ̂ = 3600                              S/R
                 ∴ 𝐵̂ + 𝐷
                        ̂ = 1800
                                                                 S

         Konstruksie: Teken AO en OC                              konstruksies

               𝑂̂1 = 2𝐵̂ [𝑀𝑖𝑑𝑑𝑒𝑙𝑝𝑢𝑛𝑡𝑠∠ = 2 × 𝑂𝑚𝑡𝑟𝑒𝑘𝑠∠]            S/R
               𝑂̂2 = 2𝐷̂ [𝑀𝑖𝑑𝑑𝑒𝑙𝑝𝑢𝑛𝑡𝑠∠ = 2 × 𝑂𝑚𝑡𝑟𝑒𝑘𝑠∠]
                                                                 S
               ∴ 𝑂̂1 + 𝑂̂2 = 3600 [∠𝑒 𝑟𝑜𝑛𝑑𝑜𝑚 ′𝑛 punt]
               ∴ 2𝐵̂ + 2𝐷 ̂ = 3600                                S/R
               ∴ 𝐵̂ + 𝐷
                      ̂ = 1800
                                                                 S
                                                                                                 (5)

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### Page 15

(EC/NOVEMBER 2024)                        MATHEMATICS P2/WISKUNDE V2                                     15

 9.2

 9.2.1   Ŝ = 1150    [ at the centre = 2×  at the circumference]          S       R
                       Middelpunts  = 2  Omtreks                                                      (2)
 9.2.2   Q̂ = 650     [opposite s of cyclic quad]                           S       R
                       teenoorst. e van ' n koordevierhoek                                              (2)
 9.2.3   P̂1 + 200 = 850 [ext. of cyclic quad]                              S       R
                          buite.  van ' n koordevierhoek 
         P̂1 = 650                                                                                         (2)
 9.3

 9.3.1   Â1 = 500     s in a str.line / [e op ' n reguitlyn]            S

         R̂ = 1100     s in a   /[ein ' n driehoek ]                    S
         P̂ = 700     opp s of a cyclic quad                              S         R
                      [teenoorst. e van ' n koordevierhoek ]
                                                                                    OR/OF
                                    OR/OF

         R̂ = 1300 − 200 = 1100   ext  of a Δ / [buite  van ]           S           R
         P̂ = 700  opp. s of a cyclic quad  / [teenoorst.e van ' n kv]   S           R
                                                                                                          (4)
                                                                                                         [15]

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### Page 16

16                                   MATHEMATICS P2/WISKUNDE V2                               (EC/NOVEMBER 2024)

QUESTION 10 / VRAAG 10

 10.1

 10.1.1    Â1 = 37 0     tan chord  / [raaklyn − koord stelling ]            S            R
                ˆ = 740   at centre = 2   at circumf 
           ˆ = 2A
           O                                                                    S            R
            1    1

                             [ Middelpunts  = 2  Omtreks ]
                                                                                                              (4)
 10.1.2     ˆ = 90
           ABP          0
                              in a semi-circle / [ in ' n semi − sirkel ]   S           R
    (a)
          B̂1 = 900        s in a str.line  / [e op ' n reguitlyn]
           Ô3 = 900        [given] / [ gegee]                                  S

          OACB is a cyclic quadrilateral
          OACB is ’n koordevierhoek                                             R
          [converse s same seg]/[Omgekeerde e in dies segment ]
                                                                                                              (4)
 10.1.2    ˆ =A
           C 2
               ˆ = 370
                1            s sameseg  / [e in dies segment ]              S            R
    (b)
           OC PN           alt. s = / [verw. e =]                          R

                                        OR/OF                                           OR/OF

            ˆ = 900
           APN        diameter ⊥ tan  / [middellyn ⊥ raaklyn]                 S            R
          Oˆ 3 = 900 given  /[ gegee]
           OC PN       corresp. s = /[ooreenk. e =]                        R
                                                                                                              (3)

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### Page 17

(EC/NOVEMBER 2024)                          MATHEMATICS P2/WISKUNDE V2                                       17

 10.2

 10.2.1     Â3 = 900 [tan ⊥ rad] / [raaklyn ⊥ radius]                         S         R
            Ŝ1 = 900    tan -chord theorem  / [raaklyn − koord stelling ]   S          R
            Ĉ = 900     in semi-circle / [ in ' n semi − sirkel ]         S          R
                                                                                                               (6)
 10.2.2     Sˆ 1 = C
                   ˆ                both / beide = 90 
                                                        0

            MS BC                  correspo. s = / ooreenkomst.e =        R                             (1)

 10.2.3      AS:SC =1:1            line drawn from the centre                S          R
                                   [lyn getrek vanaf middelpunt ]
                                                                                                               (2)
 10.2.4      MS = 3       midpoint theorem / [middelpunt stelling ]          S          R
                                                                                                               (2)
 10.2.5      p 2 = ( p − 1) + 32                                                apply Pyth theo
                           2
                                        Pyth.theorem / stelling
                                                                                 toepassing van Pyth
             p2 = p2 − 2 p + 1 + 9                                               stelling
             2 p = 10                                                           simplification/
               p=5                                                               vereenvoudiging
                                                                                answer / antwoord
                                                                                                              (3)
                                                                                                             [25]

                                                                               TOTAL / TOTAAL:               150

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