# Mathematics Grade 11 P1 Eastern Cape November 2019 Memo

> Grade 11 Mathematics Paper 1 memorandum from the Eastern Cape November Exam 2019 (Afrikaans), 13 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-p1-gr11-memo-nov-2019-english-afrikaans2/c5737a2c-1e54-41a6-8970-5bbb54f884f3
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Language: Afrikaans
- Document type: Memorandum
- Year: 2019
- Exam period: Eastern Cape November Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 13

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Mathematics](https://www.hlayiso.com/library/grade-11/mathematics) › [Mathematics Grade 11 P1 Eastern Cape November 2019 Memo](https://www.hlayiso.com/library/maths-p1-gr11-memo-nov-2019-english-afrikaans2/c5737a2c-1e54-41a6-8970-5bbb54f884f3)

## About this document

Mathematics · Grade 11 · Eastern Cape November Exam · 2019 · Afrikaans. Memorandum, 13 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

Text extracted from the PDF. Layout, diagrams and tables may not survive extraction.

### Page 1

Downloaded from hlayiso.com

                          NATIONAL
                     SENIOR CERTIFICATE/
                          NASIONALE
                      SENIOR SERTIFIKAAT

                           GRADE/GRAAD 11

                         NOVEMBER 2019

         MATHEMATICS P1/WISKUNDE V1
        MARKING GUIDELINE/NASIENRIGLYN
            EXEMPLAR/EKSEMPLAAR

MARKS/PUNTE:   150

               This marking guideline consists of 13 pages./
               Hierdie nasienriglyn bestaan uit 13 bladsye.

### Page 2

Downloaded from hlayiso.com
2                                     MATHEMATICS P1/WISKUNDE V1                      (EC/NOVEMBER 2019)

    NOTE/LET WEL:

    •   If a candidate answers a question TWICE, mark the FIRST attempt ONLY.
        Indien ŉ kandidaat ŉ vraag TWEE keer beantwoord, merk SLEGS die EERSTE poging.
    •   Consistent accuracy applies in ALL aspects of the marking guideline.
        Volgehoue akkuraatheid is in ALLE aspekte van die nasienriglyn van toepassing.
    •   If a candidate crossed out an attempt of a question and did not redo the question, mark
        the crossed-out attempt.
        Indien ŉ kandidaat ŉ poging vir ŉ vraag deurgetrek het en nie die vraag weer
        beantwoord het nie, merk die poging wat deurgetrek is.
    •   The mark for substitution is awarded for substitution into the correct formula.
        Die punt vir substitusie word toegeken vir substitusie in die korrekte formule.

    QUESTION 1/VRAAG 1

    1.1.1     x2 − 5x − 6 = 0
              ( x − 6)( x + 1) = 0                                  method / metode
               x = 6 or / of x = −1                                 answers / antwoorde
                                                                                                        (3)
    1.1.2     (2 x − 3)( x + 1) = 9
              2 x 2 + 2 x − 3x − 3 − 9 = 0
              2 x 2 − x − 12 = 0                                    standard form / standaardvorm
                   −b  b 2 − 4ac
              x =
                        2a
                    −(−1)  (−1) 2 − 4(2)(−12)
                  =                                                 substitution / vervanging
                              2(2)
                    1  97
                  =
                        4
                  = 2, 71  or / of           − 2, 21                 answers / antwoorde
                                                                                                        (4)
    1.1.3     x − x −1 = 3
              x − 3 = x −1
              ( x − 3) 2 = x − 1                                    squaring both sides
                                                                     kwadreer beide kante
              x2 − 6 x + 9 = x −1
              x 2 − 7 x + 10 = 0                                    standard form / standaardvorm
              ( x − 2)( x − 5) = 0                                  factors / faktore
              x  2      or / of      x=5                          both x values / beide x-waardes
                                                                    selection / keuse
                                                                                                  (5)

Copyright reserved/Kopiereg voorbehou                                   Please turn over/Blaai om asseblief

### Page 3

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                            MATHEMATICS P1/WISKUNDE V1                                    3

 1.1.4        x( x + 10)  −25
              x 2 + 10 x + 25  0                                     standard form / standaardvorm

             ( x + 5) 2  0                                           factors / faktore
                                                           -5
              x  R but/maar x  −5                                  x  R  x  −5
                                                                                                           (4)
 1.2         2x − y = 1                              (1)
             3 x 2 − 4 xy + y 2 = 0                  (2)
              y = 2x −1                              (3)              y = 2x −1
             Substitute (3) into (2) :Vervang (3) in (2)
             3 x 2 − 4 x(2 x − 1) + (2 x − 1) 2 = 0                   substitution / vervanging
             3x − 8 x + 4 x + 4 x − 4 x + 1 = 0
                   2       2          2

             − x2 + 1 = 0                                             standard form / standaardvorm
             1= x      2
                                    or / of    x −1 = 0
                                                 2

              1 = x2       or / of ( x − 1)( x + 1) = 0              method/factors : metode/faktore
              x = 1 or / of x = −1                                   both x-values / beide x-waardes
              y = 2(1) − 1 or / of         y = 2(−1) − 1
                   =1          or / of     y = −3                     both y-values / beide y-waardes
                                                                                                    (6)
                                    OR / OF
             2x − y = 1                                    (1)
             3 x 2 − 4 xy + y 2 = 0                        (2)
                                                                      x = 12 ( y + 1)
              x = ( y + 1)
                       1
                       2                                   ( 3)
             3[ 12 ( y + 1)]2 − 4 y[ 12 ( y + 1)] + y 2 = 0           substitution / vervanging
                   2
             3( y4 + 2y + 14 ) − 2 y 2 − 4 y + y 2 = 0
             3y2 + 6 y + 3 − 4 y2 − 8 y = 0
             − y2 − 2 y + 3 = 0                                       standard form / standaardvorm
              y + 2y −3 = 0
               2

             ( y − 1)( y + 3) = 0                                     factors / faktore
              y = 1 or / of          y = −3                          both y-values / beide y-waardes
              x = (1 + 1)
                       1
                       2        or / of       x = 12 (−3 + 1)
              x = 1 or / of        x = −1                             both x-values / beide x-waardes
                                                                                                    (6)

Copyright reserved/Kopiereg voorbehou                                      Please turn over/Blaai om asseblief

### Page 4

Downloaded from hlayiso.com
4                                         MATHEMATICS P1/WISKUNDE V1                               (EC/NOVEMBER 2019)

    1.3      [ x − (−3 + 2 2)][ x − (−3 − 2 2)] = 0                       equation / vergelyking
             [( x + 3) + 2 2][( x + 3) − 2 2]
                                                                          difference of 2 squares
             ( x + 3) 2 − (2 2) 2 = 0                                      verskil tussen 2 kwadrate
              x2 + 6x + 9 − 8 = 0                                         expanding / uitbreiding
             x2 + 6x + 1 = 0                                              x2 + 6 x + 1
             but y intercept is 4 / ( maar y − afsnit is 4)
              f ( x) = 4 x 2 + 24 x + 4                                  4 x 2 + 24 x + 4                       (5)
                                                                                                                 [27]

    QUESTION 2/VRAAG 2

    2.1      8n−3.32 −n+1.6 2 n
                                =
                                  23   ( ) .(2 ) .(2.3)
                                            n −3   5 − n +1       2n
                                                                         (23 ) .(25 )
                                                                                n −3     − n +1
                                                                                                  .(2.3)
                                                                                                       2n

                   9n                         (3 )  2 n
                                                                         (32 )
                                                                                n

                                     23n−9.2 −5 n+5.2 2 n.32 n             23n−9.2−5n+5.22 n.32 n
                                   =                                    
                                                     32 n                          32 n
                                   = 2 3 n −9 − 5 n + 5 + 2 n            simplification / vereenvoudiging
                                   = 2 −4
                                        1
                                   =
                                       16                                answer / antwoord
                                                                                                                  (5)
                      2
    2.2.1
                    x =4
                      3
                                                   OR / OF
                     3                                    2
              2
                                                        x =4
              x  = 43
                                                          3
              
                3
                                                                         method / metode
                                                      2 3         3
                                                              = (2 )
                                                         
                                                        3 2       2 2
                                                    x
                 x 2 = 43
                    x 2 = 64                        x = 23              x 2 = 64 or/of 𝑥 = 23
                     x=8                             x =8                answer / antwoord
                                                                                                                  (3)
    2.2.2        22 x − 4 x −1 = 12
               22 x − 22 x −2 = 12                                       2 2 x − 2 2 x − 2 = 12
             22 x − 22 x.2−2 = 12
                 22 x (1 − 14 ) = 12                                     22 x (1 − 14 ) = 12
                          22 x. 34 = 12
                            22 x = 16 or / of 4 x = 16
                            22 x = 24 or / of 4 x = 42                   22 x = 24 or / of 4x = 42
                            2x = 4
                                         x=2                            x=2
                                                                                                                  (4)

Copyright reserved/Kopiereg voorbehou                                           Please turn over/Blaai om asseblief

### Page 5

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                        MATHEMATICS P1/WISKUNDE V1                                            5

 2.3.1       g is undefined when: g is ongedefinieerd wanneer
             3− x = 0
             x = 3                                                answer / antwoord
                                                                                                             (2)
 2.3.2                x − 2x + 2
                        2
             g ( x) =
                          3− x
             =
               (( x − 2 x + 1) − 1 + 2)                            completing the square
                         3− x                                       voltooiing van kwadraat
               ( x − 1) + 1
                       2
             =
                   3− x
             For g to be equal to 0, the numerator must
             be equal to 0, but the minimum value for the         
             numerator is 1                                        For g to be equal to 0, the numerator must
                                                                   be equal to 0
              g will never be equal to zero.
                                                                  Vir g om gelyk aan 0 te wees moet die
             Vir g om gelyk aan 0 te wees moet die teller gelyk   teller gelyk aan 0 wees
             aan 0 wees, maar die minimumwaarde vir die
             teller is 1.                                          minimum value of numerator = 1
                                                                      minimumwaarde van teller = 1
              g sal nooit gelyk aan nul wees nie.
                                                                                                             (3)

                                         OR/OF

             For g ( x) to be = 0, the numerator must be = 0      
                                                                  For g ( x) to be = 0, the numerator must be = 0
             Vir g ( x) om = 0, moet die teller = 0
             x2 − 2x + 2 = 0                                      Vir g ( x) om = 0, moet die teller = 0

             but / maar :  = b 2 − 4ac
                              = ( −2 ) − 4 (1)( 2 )
                                     2

                              = −8                                 −8
             No solution / Geen oplossing                         no solution / geen oplossing
             Numerator will never be equal to 0.                                                             (3)
             Teller sal nooit gelyk aan 0 wees nie.
                                                                                                           [17]

Copyright reserved/Kopiereg voorbehou                                   Please turn over/Blaai om asseblief

### Page 6

Downloaded from hlayiso.com
6                                   MATHEMATICS P1/WISKUNDE V1                                (EC/NOVEMBER 2019)

    QUESTION 3/VRAAG 3

    3.1.1    10 ; 7 ; 4 ; 1 ; − 2 ; − 5                                      −2        −5
                                                                                                               (2)
    3.1.2    Tn = 13 − 3n                                                    13       − 3n
                                                                                                               (2)
    3.1.3    − 179 = 13 − 3n                                                 equating − 179 to 13 – 3n
             3n = 192                                                        stel –179 gelyk aan 13 – 3n
              n = 64                                                        simplifying / vereenvoudiging
                                                                             answer / antwoord
                                                                                                               (3)
    3.2                 T2 − T1 = T3 − T2
              x + 9 − (3x − 2) = 2 x + 5 − ( x + 9)                          substitution / vervanging
                x + 9 − 3x + 2 = 2 x + 5 − x − 9                             simplifying / vereenvoudiging
                      − 2 x + 11 = x − 4
                           − 3x = −15
                                 x = 5                                     x=5
                                                                                                              (3)
                                                                                                             [10]

    QUESTION 4/VRAAG 4

    4.1      -128        ;        - 84     ;    - 48     ;     -20

                          44               36            28

                                    -8            -8

             0 ; 12                                                        0  12
                                                                                                               (2)
    4.2      2a = −8             3a + b = 44           a + b + c = −128
             a = − 4            3(− 4) + b = 44 − 4 + 56 + c = −128  a = − 4
                                 b = 56                 c = −180           b = 56
                                                                           c = −180
             Tn = − 4n + 56 n − 180
                             2
                                                                           Tn = − 4n2 + 56n − 180
                                                                                                               (4)

Copyright reserved/Kopiereg voorbehou                                           Please turn over/Blaai om asseblief

### Page 7

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                          MATHEMATICS P1/WISKUNDE V1                                    7

 4.3         Tn = − 4n 2 + 56n − 180
                = −4(n 2 −14n + 45)                               common factor / gemene faktor
                                                                  completing the square
                = −4 ( n 2 − 14n + 49 − 49 + 45 )                  voltooiing van vierkant
               = −4 ( n − 7) 2 − 4                            (n − 7)2 − 4
               = − 4(n − 7) 2 + 16                                + 16
              biggest value for Tn is16                          identifying the biggest Tn value
               grootste waarde vir Tn is 16                      identifiseer die grootste Tn waarde

                                                                                                        (5)
                                          OR / OF
             Tn = − 4n 2 + 56n − 180
                                                                       b
                                    b                             −
             max at/maks by : n = −                                    2a
                                    2a
                                   −56                            substitution / vervanging
                               =
                                 2.(−4)
                                                                  n=7
                               =7
                                                                  substituting n = 7 into Tn
                     T7 = − 4(7) 2 + 56(7) − 180
                                                                   vervang n = 7 in Tn
                          =16                                     answer / antwoord
                                                                                                        (5)
 4.4         k  −16                                               answer / antwoord
                                                                 (1 mark if/punt as k  −16 )          (2)
                                                                                                      [13]

Copyright reserved/Kopiereg voorbehou                                    Please turn over/Blaai om asseblief

### Page 8

Downloaded from hlayiso.com
8                                MATHEMATICS P1/WISKUNDE V1                  (EC/NOVEMBER 2019)

    QUESTION 5/VRAAG 5

    5.1    g ( x) = −a x
           − 3 = −a 1                                          substituting − 3 and 1
                                                                vervang –3 en 1
           a=3                                                 answer / antwoord            (2)
    5.2    x = −3 and / en       y = −1                        x = −3  y = −1              (2)
    5.3    y  0 ; y R                                        answer / antwoord             (1)
    5.4     −3
               −1 = 0                                          substituting y = 0
           x+3
            −3                                                  vervang y = 0
               =1
           x+3
           −3= x+3
           x = −6                                             x = −6

           −3
               −1 = y
          0+3
           y = −2                                             y = −2                       (3)
    5.5                                                       f:  x and y-intercepts
                                                                   x- en y-afsnitte
                                                                  asymptotes / asimptote
                                                                  shape / vorm

                                                              g:  y-intercept / y-afsnit
                                                                  asymptote / asimptoot
                                                                  shape / vorm

                                                                                              (6)
    5.6    y = x+k
          − 1 = −3 + k                                         substituting (−3; − 1)
          k = 2                                                vervang (–3 ; –1)
          y = x+2                                             y = x+2                      (2)
                                        OR / OF
           y = (x − (−3) ) − 1                                 substituting (−3;−1)
             = (x + 3) − 1                                      vervang (–3 ; –1)
          y = x+2                                             y = x+2                      (2)

    5.7    b =1                                                answer / antwoord           (2)
                                                                                            [18]

Copyright reserved/Kopiereg voorbehou                          Please turn over/Blaai om asseblief

### Page 9

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                            MATHEMATICS P1/WISKUNDE V1                                      9

 QUESTION 6/VRAAG 6

 6.1       g ( x) = x + 4
              0= x+4                                                    substitution / vervanging
             x = −4
           P(−4;0)                                                      answer / antwoord                  (2)
 6.2       Q (2 ; 0)                                                    answer / antwoord                 (2)
 6.3       Average gradient / Gemiddelde gradiënt
               y2 − y1
           =
               x2 − x1
              9−0                                                       substitution / vervanging
           =
            −1 − (−4)
           =3                                                           answer / antwoord                  (2)
 6.4        f ( x) = ax + bx + c
                         2

           y = a ( x − x1 )( x − x2 )
             = a ( x + 4)( x − 2)                                       substituting − 4 and 2
                                                                         vervanging van – 4 en 2
           9 = a (−1 + 4)(−1 − 2)
                                                                        substituting / vervang (−1; 9)
           9 = −9a
            a = −1                                                     a = −1
            y = −( x + 4)( x − 2)                                      substituting −1 and expanding
                                                                         vervang – 1 en uitbreiding
                 = −( x 2 + 2 x − 8)
                 = −x2 − 2x + 8
             b = −2                                                    b = −2
              c =8                                                      c =8                               (6)

                                         OR / OF
           y = a( x + p)2 + q
           y = a( x + 1) 2 + 9                                          substituting / vervang (−1; 9)

           0 = a(− 4 + 1) 2 + 9         or / of   0 = a(2 + 1) 2 + 9    substituting / vervang (−4 ; 0)
           −9a = 9                                                       or/of (2 ; 0)
            a = −1                                                     a = −1
            y = −( x + 1) 2 + 9                                        substituting −1 and expanding
                                                                         vervang – 1 en uitbreiding
                  = −( x 2 + 2 x + 1) + 9
                  = − x2 − 2 x − 1 + 9
                = − x2 − 2 x + 8
            b = −2                                                     b = −2
             c =8                                                       c =8                               (6)

Copyright reserved/Kopiereg voorbehou                                        Please turn over/Blaai om asseblief

### Page 10

Downloaded from hlayiso.com
10                                  MATHEMATICS P1/WISKUNDE V1                                   (EC/NOVEMBER 2019)

 6.5       x + 4 = −x2 − 2x + 8                                          g ( x) = f ( x)
           x 2 + 3x − 4 = 0                                              standard form / standaardvorm
           ( x + 4)( x − 1) = 0                                          factors / faktore
                       x = − 4 or / of x = 1
                        y = 1+ 4                                        choosing / kies x = 1
                            =5                                           y=5
                S (1; 5)
                                                                                                               (5)
 6.6       Length of TV at max / Lengte van TV by maks:
                                      = yT − yV
                                      = − x 2 − 2 x + 8 − ( x + 4)       − x 2 − 2 x + 8 − ( x + 4)
                                      = − x 2 − 3x + 4
                                      = −( x 2 + 3x − 4)                 factoring out −1 /
                                      = −( x + 3x + − − 4)
                                               2                9   9     gemene faktor – 1
                                                                4   4

                                      = − ( x + 32 ) 2 − 254         completing the square
                                                                          voltooiing van vierkant
                                      = −( x + 32 ) 2 + 254
                                                                         − ( x + 32 ) 2 + 254
            Length TV at max / Lengte TV by maks:
             = 6, 25 units / eenhede                                     answer / antwoord
                                                                                                               (5)

                                     OR / OF

             Length of TV at max / Lengte van TV by maks:
                                         = yT − yV
                                        = − x 2 − 2 x + 8 − ( x + 4)     − x 2 − 2 x + 8 − ( x + 4)
                                        = − x 2 − 3x + 4
                                     x = − 2ba                           x = − 2ba
                                        = − 2(( −−3)1) = − 23            x = − 32
             Length of TV at max / Lengte van TV by maks:
                                     y = −( 32 ) 2 − 3(− 32 ) + 4        substitution / vervanging
                                        = 6, 25 units / eenhede          answer / antwoord
                                                                                                               (5)
 6.7       − 4  x  0 or / of x  2                                     − 4  x  0  x  2
                                     OR / OF
           x  (−4; 0)  (2; )                                        x   (−4; 0) (2; )
                                                                        (Accuracy / Akkuraatheid)
                                                                                                               (3)
                                                                                                              [25]

Copyright reserved/Kopiereg voorbehou                                           Please turn over/Blaai om asseblief

### Page 11

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                                MATHEMATICS P1/WISKUNDE V1                                               11

 QUESTION 7/VRAAG 7

 7.1       A = P (1 − i ) n                                               formula / formule
           7 210 = P (1 − 0,134)5                                         n=5
                                                                          substitution into correct formula
                                                                           vervanging in korrekte formule
           7 210 = 0, 4870678 P
            P = R14802,87                                                answer / antwoord
                                                                                                                       (4)
 7.2               i 
                              n

           ieff = 1 + nom  − 1
                       n 
                                  4
                   0,082                                                n = 4  substitution/vervanging
                = 1 +      −1
                        4 
                 0,0846
                 reff  8,46%                                            answer / antwoord
                                                                                                                       (3)
 7.3.1     A = P (1 + i ) n
                                                                          i = 0,12103 and/en  n = 12
                = R 20 000 (1 +        )
                                  0 ,103 12
                                    12                                    substitution into correct formula
                                                                           vervanging in korrekte formule
                 R 22 160,09                                             answer / antwoord
                                                                                                                       (4)
 7.3.2     Let the money that he withdrew be x /
           Laat die geld wat hy onttrek het x wees

           Balance at start of 2nd year / Balans aan die begin
           van 2de jaar
           R 22160,09 + R15 000 = R37160,09                               R 22 160,09 + R15 000

            (                                 )                             (
            R37160,09 1 + 0,115 24 − x   1 + 0,168 8  = R30183,64  R37160,09(1 + 0,12115)24
                      ( 12 )  ( 4 )                                                                  )
                                                                     subtracting x / trek x af
           (46718,49558 − x) = 30183,64                               
                                        (1+ )
                                   0,168 8
                                              4                          (R37160,09(1+  240,115
                                                                                            12
                                                                                                   ) )− x(1+        )
                                                                                                                 0,168 8
                                                                                                                   4

           − x = 30183,64   − 46718,49558                                 equating to / stel gelyk aan
                   (1+ )
                    0,168 8
                      4
                                                                           R 30 183,64
           − x = −24999,9939
            x = R 25000,00                                               answer / antwoord
                                                                                                                      (6)
                                                                                                                     [17]

Copyright reserved/Kopiereg voorbehou                                           Please turn over/Blaai om asseblief

### Page 12

Downloaded from hlayiso.com
12                                MATHEMATICS P1/WISKUNDE V1                                              (EC/NOVEMBER 2019)

 QUESTION 8/VRAAG 8

 8.1.1       Let Red balls be R and Yellow be Y
             Laat Rooi balle R en Geel balle Y wees
                                                                                   first branch / eerste tak
                                                                                   probabilities of first branch
                                                                                    waarskynlikhede van eerste tak
                                                                                   second branches / tweede takke
                                                                                   probabilities of second branches
                                                                                     waarskynlikhede van tweede takke

                                                                                   outcomes / uitkomste
                                                                                                                        (5)
 8.1.2       P(different colours/ verskillende kleure)
                                   = P(RY) or / of P(YR)                           P(RY) + P(YR)
                                        = P(RY) + P(YR)
                                        = ( 83  75 ) + ( 85  73 )                83  75        85  73
                                     15
                                        = or / of 0,54                             answer / antwoord
                                     28
                                  OR / OF                                                                               (4)
             P(different colors)     = 1 − P(same colour)
             P (verskillende kleure) = 1 − P(dieselfde kleur )
                                            = 1 − ( P(RR) + P(YY) )                1 − (P(RR) + P(YY))
                                            = 1 − ( ( 83  72 ) + ( 85  74 ) )    83  72    85  74
                                            = 1 − 13
                                                  28

                                                15
                                            =      or / of 0,54                    answer / antwoord
                                                28                                                                      (4)

 8.2.1       Let x betheprobabilitythat bothSA&NZreachfinals
             Laat xdiewaarskynlikheid wees dat beideSA & NZ die finaal haal

                                                                                   0,06
                                                                                   0,35 − x & 0,5 − x
                                                                                   x

                                                                                                                        (3)
 8.2.2       0,35 − x + x + 0,5 − x + 0,06 = 1                                     equation/vergelyking
                                       x = 0,09                                   answer/antwoord
                                                                                                                        (2)
                                                                                                                       [14]

Copyright reserved/Kopiereg voorbehou                                                    Please turn over/Blaai om asseblief

### Page 13

Downloaded from hlayiso.com
(EC/NOVEMBER 2019)                        MATHEMATICS P1/WISKUNDE V1                                   13

 QUESTION 9/VRAAG 9

 9.1      a = 83            b = 240                                     a = 83  b = 240
                                                                                                      (2)
 9.2      If M and F are independent, then
          As M en F onafhanklik is, dan is:
          P(M)  P(F) = P(M and/en F)                                   correct rule / korrekte reël
          P(M)  P(F) =   125
                          500      260
                                    500                                 P(M) = 125
                                                                                500  P(F) = 500
                                                                                             260

                         13
                        =   or 0,13                                     100
                                                                          13
                                                                             or / of 0,13
                        100
                           65   13
         P(M and/en F) =      =     or / of 0,13                        P(M and/en F)
                          500 100
                                                                         = 500
                                                                            65
                                                                               or / of 0,13
          P(M)  P(F) = P(M and/en F)
                                                                         and conclusion /
          M and F are independent events.
                                                                         en gevolgtrekking
              M en F is onafhanklike gebeurtenisse.
                                                                                                (4)
 9.3      P(M/F or/of PS/F) = P(M/F) + P(PS/F) − P(M/F and/en PS/F)  correct rule / korrekte reël
             65 114                                                         65 114
          =     +      −0                                                    +
            500 500                                                        500 500
            179
          =     or / of 0,36                                            answer / antwoord
            500
                                                                                                      (3)
                                                                                                      [9]

                                                                           TOTAL/TOTAAL:             150

Copyright reserved/Kopiereg voorbehou                                  Please turn over/Blaai om asseblief

## Related documents

- [Gr11 Math P1 (Afrikaans and English) November 2019 Possible Answers](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-and-english-november-2019-possible-answers/e4962b19-d0cb-4874-a7fa-58cd8e95ab68) — Mathematics · Memo · 2019 · Afr
- [Gr11 Math P1 (Afrikaans) June 2019 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-june-2019-question-paper/8a92fc2a-58f8-4c91-9d87-bc71603b08cd) — Mathematics · QP · 2019 · Afr
- [MATHS P1 QP GR11 NOV 2023 Afrikaans D](https://www.hlayiso.com/library/maths-p1-qp-gr11-nov-2023-afrikaans-d/c2f240dc-7fd6-4ceb-81c1-a511d86b6035) — Mathematics · QP · 2023 · Afr
- [Gr11 Math P2 (Afrikaans) November 2019 Possible Answers](https://www.hlayiso.com/library/gr11-math-p2-afrikaans-november-2019-possible-answers/d5138457-8292-415c-8ae5-52ff1920ee97) — Mathematics · Memo · 2019 · Afr
- [MATHS P1 GR11 MEMO NOV 2020 English+Afrikaans](https://www.hlayiso.com/library/maths-p1-gr11-memo-nov-2020-english-afrikaans/89544f20-6bf0-4ca5-b1c6-bb6abeb0c3cd) — Mathematics · Memo · 2020 · Afr
- [Gr11 Math P1 (Afrikaans) June 2017 Possible Answers](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-june-2017-possible-answers/b8504619-0cb6-476d-944d-f53d2ea22f72) — Mathematics · Memo · 2017 · Afr

## More from Grade 11 Mathematics

- [FS Maths Grade 11 June 2025 P1 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p1-only/82015d8f-bcc0-478e-ad47-d3b295dabb01) — QP · 2025
- [FS Maths Grade 11 June 2025 P2 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p2-only/5d0e7dd8-cb37-419c-8fe2-0aee27fbdc84) — QP · 2025
- [KZN Maths Grade 11 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-11-november-2025-p2-and-memo/a2aac931-a969-41c8-bde2-85d23035d042) — QP + Memo · 2025
- [MATHS P2 ANSWER BOOK GR11 2024 ENG AFR D watermark](https://www.hlayiso.com/library/maths-p2-answer-book-gr11-2024-eng-afr-d-watermark/91fd4f6b-a252-4d30-b6b1-f8f546015336) — Addendum · 2024 · Afr
- [Gr 11 Mathematics P1 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p1-afrikaans-june-2024-question-paper/1a0f4a9d-f18a-4aca-af77-5a81acfb8e0c) — QP · 2024 · Afr
- [Gr 11 Mathematics P2 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p2-afrikaans-june-2024-question-paper/4934c5d3-e2a1-4d6b-acf6-d00e0623d46d) — QP · 2024 · Afr

## Collection

- [Grade 11 past papers](https://www.hlayiso.com/grade-11/past-papers)

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.
