# Mathematics Grade 12 P1 Eastern Cape Mock 2021 Memo (Afr)

> Grade 12 Mathematics Paper 1 memorandum from the Eastern Cape Mock Exam 2021 (Afrikaans), 22 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-p1-memo-gr12-sept-2021-english-afrikaans/aa082ef0-4c19-4994-93f2-d433e4672c90
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 12
- Language: Afrikaans
- Document type: Memorandum
- Year: 2021
- Exam period: Eastern Cape Mock Exam
- Paper: 1
- Curriculum: CAPS
- Pages: 22

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## About this document

Mathematics · Grade 12 · Eastern Cape Mock Exam · 2021 · Afrikaans. Memorandum, 22 pages. Read online or download the PDF.

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

## Matching paper and memo

- [MATHS P1 QP GR12 SEPT 2021 Afrikaans](https://www.hlayiso.com/library/maths-p1-qp-gr12-sept-2021-afrikaans/ecc6ca73-048f-4257-8f9a-db12f35059e1) — QP · 2021 · Afr

## Document text

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### Page 1

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                            NATIONAL
                       SENIOR CERTIFICATE/
                            NASIONALE
                        SENIOR SERTIFIKAAT

                            GRADE/GRAAD 12

                           SEPTEMBER 2021

            MATHEMATICS P1/WISKUNDE V1
           MARKING GUIDELINE/NASIENRIGLYN

MARKS/PUNTE:    150

                  This marking guideline consists of 22 pages./
                  Hierdie nasienriglyn bestaan uit 22 bladsye.

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2                                     MATHEMATICS P1/WISKUNDE V1                               (EC/SEPTEMBER 2021)

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 geld deurgaans in ALLE aspekte van die nasienriglyn.
    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       x 2  2 x  15  0
            ( x  3)( x  5)  0                                                  factors / faktore
            x  3          or / of       x  5                                  x  3  x  5
                                                                                                                (3)
                                          OR/OF                                               OR/OF
               b  b 2  4ac
            x
                    2a
                   2  22  4(1)(15)                                            substitution / vervanging
              
                          2(1)
                2  64
              
                    2                                                             x  3  x  5
               3 or / of  5                                                                                   (3)
1.1.2       3x  x  1  0
               2

                   b  b 2  4ac
            x
                        2a
                   1  12  4(3)(1)
                                                                                 substitution / vervanging
                         2(3)
                1  13
                                             Penalise 1 mark for incorrect
                    6                         rounding
               0, 43 or / of  0, 77         Penaliseer 1 punt vir verkeerde     x  0, 43  x  0,77
                                              afronding
                                                                                                                (3)
1.1.3       x( x  3)  2                                  y

            x 2  3x  2  0
                                                                                  standard form
            ( x  1)( x  2)  0                                                   standaardvorm
                                                            1     2      x
             x  1 or / of            x2                                        factorisation
                                                                                   faktorisering
                                                                                  x  1 or/of  x  2
                                                                                                                (4)

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(EC/SEPTEMBER 2021)                MATHEMATICS P1/WISKUNDE V1                                           3

1.1.4         43  x  x  1  0
                                                             isolating the surd
              43  x  x  1                                  isolering van die wortelvorm

             43  x    x  1
                       2             2
                                                             squaring both sides
                                                              kwadreer beide kante
            43  x  x 2  2 x  1
                                                             standard form / standaardvorm
            x 2  x  42  0
            ( x  7)( x  6)  0
                                                             factorisation / faktorisering
           x  7      or / of       x  6                  selection / korrekte keuse
                                                                                                  (5)

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4                                   MATHEMATICS P1/WISKUNDE V1                     (EC/SEPTEMBER 2021)

1.2
            2y  x  3                 (1)
            y 2  3 x  2 xy             (2)

            x  2y 3                  (3)
                                                               x  2y  3
            Substitute  3 into  2  / Vervang (3) in (2)
            y 2  3(2 y  3)  2 y (2 y  3)                   substitution / vervanging
            y  6y 9  4y  6y  0
              2                2

            3 y 2  12 y  9  0                              standard form / standaardvorm
            y2  4 y  3  0
            ( y  3)( y  1)  0                               factorisation / faktorisering
             y  3 or / of y  1                              y-values / y-waardes
            x  2(3)  3       or / of         x  2(1)  3
              3                                  1

                                       OR/OF                                 OR/OF
            2y  x  3                 (1)
            y 2  3 x  2 xy             (2)

                x 3
            y                   (3)
               2 2
            Substitute  3 into  2  / Vervang (3) in (2)
                      2
             x 3                x 3
                3x  2 x   
            2 2                2 2
              2
            x 6x 9
                       3x  x 2  3x
             4      4 4
                  2
              3x 6 x 9
                         0
                4      4 4
            3 x 2  6 x  9  0
            x2  2x  3  0
            ( x  3)( x  1)  0
             x  3 or / of x  1
              3 3                                   1 3
            y                  or / of       y    
              2 2                                   2 2
                                                                     x 3
             3                                    1          y    
                                                                     2 2

                                                               substitution / vervanging

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(EC/SEPTEMBER 2021)                MATHEMATICS P1/WISKUNDE V1                                                 5

                                                                   standard form / standaardvorm

                                                                   factorisation / faktorisering
                                                                   x-values / x-waardes

                                                                   y-values / y-waardes                (5)
1.3
                5  p (6  p)  9
            x
                        2
            For non-real roots: / Vir nie  reële wortels :
                                                                   0
            0                                    y

            p (6  p)  9  0
                                                                   standard form / standaardvorm
             p2  6 p  9  0
            p2  6 p  9  0                           3      x
                                                                   factorisation / faktorisering
            ( p  3)  0
                      2

            p           but/maar p  3                           answer / antwoord

                                     OR/OF                                       OR/OF

                5  p (6  p)  9
            x
                        2
            For non-real roots:/ Vir nie - reële wortels:
            0                                   y
                                                                   0
                                                       3
            p (6  p)  9  0                                 x
                                                                   standard form / standaardvorm
             p2  6 p  9  0
            (3  p)( p  3)  0                                    factorisation / faktorisering
            p           but / maar p  3                         answer / antwoord
                                                                                                        (4)
                                                                                                       [24]

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6                                      MATHEMATICS P1/WISKUNDE V1                       (EC/SEPTEMBER 2021)

QUESTION 2/VRAAG 2

2.1.1       16      ;           16    ;       12   ;       4

                         0                  4             8

                                 4                4
            8                                                       8                                  (1)
2.1.2       2a  4
            a  2                                                   a2

            3a  b  4
            3(2)  b  0
                b   6                                             b  6

            a  b  c  16
            2  6  c  16
                   c  12                                          c  12

            Tn  2n 2  6n  12                                      Tn  2n2  6n  12
                                                                                                        (4)
2.1.3       T38  2(38)  6(38)  12
                             2                                       substitution / vervanging
                 2648                                               answer / antwoord
                                                                                                        (2)

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(EC/SEPTEMBER 2021)                        MATHEMATICS P1/WISKUNDE V1                                                   7

2.1.4       General term for first differences:
            Algemene term vir eerste verskille                                Tn  4n  4
            Tn  4n  4                                                       Tn  400
            400  4n  4
            n  101
            Tn  linear/ linieêr   (Tn 1  Tn )(quadratic/ kwadraties )
            n  101 and / en n  1  102
                                                                              answer / antwoord
            The terms are / Die terme is :101 and / en 102

                                               OR/OF
                                                                                           OR/OF
            2(n  1)  6(n  1)  12  (2n  6n  12)  400
                        2                                 2

            2n 2  4n  2  6n  6  12  2n 2  6n  12  400
            4n  4  400                                                      4n  4  400 
            4n  404
             n  101
             Between/Tussen T101 and / enT102                                answer / antwoord

                                  OR/OF                                                    OR/OF
            Trial and error / Proefneming
            T102  2(102) 2  6(102)  12  20184                            subst. for T101 and T102
            T101  2(101) 2  6(101)  12  19 784                            verv. vir T101 en T102
            Difference/Verskil : 400                                          400
            Between/TussenT101 and / enT102                                  answer / antwoord
                                                                                                                 (3)
2.2.1            Tn  a  (n  1)d
               89  2  (n  1)(3)                                            substitution / vervanging
            3n  1  89
               3n  90
                   n  30                                                     answer / antwoord
                                                                                                                 (2)

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8                                  MATHEMATICS P1/WISKUNDE V1                       (EC/SEPTEMBER 2021)

2.2.2
            k is the sumto 30 terms / is die som tot 30 terme.
                                                                  Sum formula / Som formule
                  n
            Sn   a  l 
                  2                                               substitution / vervanging
              30
              2  89                                           answer / antwoord
               2
             1365
                                                                              OR / OF
            OR / OF

                   n                                              Sum formula / Som formule
            Sn       2a  (n  1)d 
                   2
              30                                                  substitution / vervanging
                 2(2)  (30  1)(3)
               2
             1365                                                answer / antwoord
                                                                                                    (3)
                                                                                                   [15]

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(EC/SEPTEMBER 2021)                MATHEMATICS P1/WISKUNDE V1                                               9

QUESTION 3/VRAAG 3

3.1         T9  ar 8  768
            T13  ar12  12 288
            ar12 12 288                                              ar12 12 288
                                                                        
            ar 8    768                                              ar 8   768
             r  16
               4

               r  2
                                                                    r  2

                       768
               a
                       2 
                           8

                  3                                                value of a / waarde van a
                                                                                                     (3)
3.2.1            54 24
            S2     
                 19 19
                 30
               
                 19                                                 answer / antwoord
                                                                                                     (1)
3.2.2                    30
             T1  T2 
                         19
                         30
             a  ar                                                            30
                         19                                         a  ar 
                                                                                19
                         30
            a (1  r ) 
                         19
                         30
                   a
                      19(1  r )                                                                     (1)
3.2.3              a     54
            S        
                 1  r 19
                  54(1  r )                                              54(1  r )
            a                                                     a
                     19                                                      19

                         30
                a                 ........ from / vanaf (3.2.2)
                    19(1  r )
                 30          54(1  r )                             equating / gelykstel
                         
              19(1  r )         19
                                  30
              (1  r )(1  r ) 
                                  54
                 1 r  9
                       2    5

                       r 2  94                                             4
                                                                    r2 
                               2                                            9
                   r 
                               3
                                                                    answer / antwoord
                                                                                                     (4)
                                                                                                     [9]

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10                              MATHEMATICS P1/WISKUNDE V1                     (EC/SEPTEMBER 2021)

QUESTION 4/VRAAG 4

4.1         D(0 ; 1)                                          (0 ; 1)                         (1)
4.2         x  2 ; y  1                                   x  2  y  1                 (2)
4.3                but/maar                                            x  2                 (2)

4.4         g ( x)  b x
                8  b 3                                      substitution / vervanging
                    1
                8
                   b3
                    1
               b3 
                    8
                      1
               b                                            answer / antwoord
                      2                                                                        (2)
4.5               3
            y        1
                 x2
                  3
            0        1                                      substitution y = 0 /
                x2                                            vervanging y = 0
                 3
            1
                x2
            x  2  3
            x  5
                                                              x  5
            A(5;0)

                 3
            y         1
               02
                  5
                                                            y
                                                                      5
                  2                                                   2
            C  0;  52                                                                      (3)
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(EC/SEPTEMBER 2021)             MATHEMATICS P1/WISKUNDE V1                                          11

4.6             1
                        y
                                                                       1
                                                                                  y

            x                                                  x 
                2                                                    2
             y  log 1 x                                         y  log 1 x
                            2                                                 2

                                                                                                  (2)
                                        OR/OF                                         OR/OF
             y  2 x
             x  2 y                                            x  2 y
              y   log 2 x                                       y   log 2 x
                                                                                                  (2)

4.7
4.7.1       5  x  2            OR/OF        x  (5 ;  2)    answer / antwoord (A)         (2)

                        1
4.7.2       0 x                   OR/OF       x  (0 ; 18 ]     answer / antwoord (A)         (2)
                        8
                                                                                                 [16]

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12                                 MATHEMATICS P1/WISKUNDE V1                     (EC/SEPTEMBER 2021)

QUESTION 5/VRAAG 5

5.1          x2  2 x  8  0                                   f ( x)  0
            x2  2x  8  0
            ( x  4)( x  2)  0                                 factorisation / faktorisering
             x  4 or / of x  2
                                                                 values of x / waardes van x
             R(4;0) and / en S(2 ; 0)
             RS  6 units / eenhede                             answer / antwoord
                                                                                                  (4)

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(EC/SEPTEMBER 2021)                 MATHEMATICS P1/WISKUNDE V1                                       13

5.2             4  2
            x
                  2                                               method / metode
               1                                                x  1
            y  (1)  2(1)  8
                       2

              9                                                  y 9
             T  1;9 

                                         OR/OF                                    OR/OF
            f ( x)   x  2 x  8
                         2

                                                                       b
                    b                                             
            x                                                        2a
                   2a
                    2 
                         
                    2( 1)                                      x  1
               1
            y  (1) 2  2(1)  8
              9                                                  y 9
             T(1;9)

                                         OR/OF                                    OR/OF

            f '( x)  2 x  2  0                                2 x  2  0
                              2x  2
                                x  1
            y  (1)  2(1)  8
                       2

              9
                                                                  x  1  y  9
             T(1;9)                                                                              (3)
5.3.1       f ( x)   x  2 x  8
                       2

            f '( x)  2 x  2                                    f / ( x)
            2 x  2  2                                         f / ( x)  2
                   x  2
                                                                  x  2
             y   (2) 2  2(2)  8
                8
                                                                  y 8
            W (2;8)
                                                                                                   (4)
5.3.2       g ( x)  mx  c
                    1
            m        ( lines / lyne)                           gradient / gradiënt
                    2
            c8
                   1                                              equation / vergelyking
             y   x8
                   2                                                                               (2)

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14                                  MATHEMATICS P1/WISKUNDE V1                     (EC/SEPTEMBER 2021)

5.4         f ( x)   x 2  2 x  8
            h( x)   f ( x  1)                                   f ( x  1)
                     ( x  1) 2  2( x  1)  8            substitution / vervanging
                     ( x 2  2 x  1)  2 x  2  8        simplifying /
                      x  2 x  1  2 x  2  8
                            2                                      vereenvoudiging

                   x2  9                                        equation / vergelyking

                                         OR/OF                                OR/OF

            h( x)  ( x  3)( x  3)                              roots/wortels 3 and/en –3
                   x 9
                      2
                                                                  +( x + 3)(x – 3)
                                                                  equation / vergelyking

                                         OR/OF                                OR/OF

            New turning point / Nuwe draaipunt = (0 ; –9)
                                                                  (0 ; –9)
            y  x2  9
                                                                  equation / vergelyking
                                                                                                   (4)
                                                                                                  [17]

QUESTION 6/VRAAG 6

6.1     A  P(1  i ) n
        5510  9 670(1  i) 4                                 subst. into correct formula
                    5510                                       vervanging in korrekte formule
        i  1 4
                    9 670                                     simplification
             0,131177                                         vereenvoudiging
         r  13,12%
                                                              answer / antwoord
                                                                                                   (3)

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(EC/SEPTEMBER 2021)                  MATHEMATICS P1/WISKUNDE V1                                       15

6.2     End of December / Einde van Desember
             x (1  i ) n  1
        F
                  i
                  0, 087 144 
             600 1          1
                      12                                 n  144
        F 
                      0, 087                                   subst. into correct formula
                        12                                      vervanging in korrekte formule
            R151438, 20
        End of January / Einde van Januarie
        A  P(1  i ) n
                         0, 087 
            151438, 20 1                                   adding final month’s interest
                            12                                voeg finale maand se rente by
            R152536,13                                        answer / antwoord

                                     OR/OF
                                                                              OR/OF
             x 1  i   1 1  i 
                            n

         F                
                         i
                   0, 087 144   0, 087                   n  144
             600 1              1 1                   subst. into correct formula
                        12            12 
        F                                                     vervanging in korrekte formule
                               0, 087                          adding final month’s interest
                                 12                             voeg finale maand se rente by
            R152536,13
                                                               answer / antwoord
                                                                                                    (4)
            x 1  1  i  
6.3.1                           n

        P                  
                     i
                         0, 093  72 
                    x 1  1                                    0, 093
                               12                        i          and n  72
        350 000                                                     12
                             0, 093
                                                               substitution into correct formula
                               12                               vervanging in korrekte formule
                            0, 093
                350 000 
        x                    12
                0, 093  72 
              1  1           
                        12  
                                                               answer / antwoord
         x  R6361,18
                                                                                                    (3)

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16                              MATHEMATICS P1/WISKUNDE V1                         (EC/SEPTEMBER 2021)

6.3.2   Outstanding balance = / Uitstaande balans =
           x 1  1  i  
                         n

        P                 
                   i
                           0, 093 32 
             6361,18 1  1                                 i  0,093
                                                                      12 and/en n  32
                                12  
                                                                subst. into correct formula
        P 
                            0, 093                               vervanging in korrekte formule
                              12
            R179 667,32                                        P = 179 667, 32

                                 OR/OF                                       OR/OF

        Outstanding balance / Uitstaande balans
         A F
                                          0, 093 40 
                                 6361,18 1          1     i  0,093 and/en n  40
                                               12 
                              40
                   0, 093                                         12
         350 000 1                                         subst. Into correct formula
                      100                  0, 093
                                                                 vervanging in korrekte formule
                                              12
         R 476 628,84  R 296961, 79
         R179 667, 05
                                                                P = 179 667, 32
                                                                                                   (3)

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(EC/SEPTEMBER 2021)             MATHEMATICS P1/WISKUNDE V1                                                 17

6.3.3                          0, 093   n 
                       7 000 1  1        
                                      12  
        179 667,32                                                  subst. into correct formula
                                 0, 093
                                                                       vervanging in korrekte formule
                                   12
                       0, 093
          179 667,32                              n
                         12  1   1  0, 093 
                                                
                7 000                      12 
                                                     n
                                          4 031 
                         0,80108...          
                                          4 000 
                                              n
                                    4 031
                       0,80108... 
                                    4 000
                                log 0,80108...                        correct use of logs
                          n 
                                       4 031                           korrekte gebruik van logs
                                  log
                                       4 000
                              n  28, 73
                                                                      = 28,73
                              n  28, 73

        The number of months is 29.                                  n = 29 months / maande
          Die aantal maande is 29.

                                 OR/OF                                             OR/OF

                                      0, 093   n 
                             7 000 1  1       
                                           12  
                179 667,32 
                                       0, 093                         subst. into correct formula
                                         12                            vervanging in korrekte formule
                                0, 093
                  179 667,32                             n
                                 12  1   1  0, 093 
                                                       
                         7 000                   12 
                                                                n
                                                  4 031 
                                 0,80108...          
                                                  4 000 
                                                           n
                                                   4 031
                                0,80108... 
                                                   4 000
                                             log 0,80108...           correct use of logs
                                  n                                 korrekte gebruik van logs
                                                   4 031
                                               log
                                                   4 000
                                  n  28, 73
                                   n  28, 73                        = 28,73
         The number of months is 29.
                                                                      n = 29 months / maande
         Die aantal maande is 29
                                                                                                         (4)
                                                                                                        [17]

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18                                   MATHEMATICS P1/WISKUNDE V1                          (EC/SEPTEMBER 2021)

QUESTION 7/VRAAG 7

7.1                        f ( x  h)  f ( x )
            f '( x)  lim
                      h 0          h

                    lim
                                              
                              5  2  x  h   5  2x2
                                          2
                                                               substitution / vervanging
                      h 0              h
                           5  2 x  4 xh  2h 2  5  2 x 2
                                     2
                    lim                                        expansion / uitbreiding
                      h 0                h
                           4 xh  2h 2
                    lim                                        simplification / vereenvoudiging
                     h 0       h
                           h(4 x  2h)
                    lim
                      h 0        h
                    lim  4 x  2h                           notation and lim (4 x  2h)
                       h 0
                                                                                  h 0
                     4 x
                                                                answer / antwoord
                                                                                                      (5)
7.2.1                      2x  2
            y  7 x4 
                             x
                              3                                     3
                7 x4  2x 2                                    2x 2
               dy               1
                  28 x 3  3x 2
                                                                              1
                                                                28x3  3x 2
               dx
                                                                                                      (3)

7.2.2
                   3x 2  7 x  6 
             Dx                  
                         x        
             Dx 3x  7  6 x 
                                 1
                                                                3x  7        6x 1
             3  6 x 2                                        3 and differentiating constant
                                                                 3 en afgeleide van konstante
                                                                6x 2
                                                                                                      (4)
                                                                                                     [12]

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(EC/SEPTEMBER 2021)                       MATHEMATICS P1/WISKUNDE V1                                             19

QUESTION 8/VRAAG 8
8.1.1        f ( x)  2( x  x1 )( x  x2 )( x  x3 )
                     2  x  1  x  12   x  3               f ( x)  2  x  1  x  12   x  3
                      x  1 2 x  1 x  3                                    OR/OF
                                  
                      x  1 2 x 2  7 x  3                    f ( x)   x  1 2 x  1 x  3
                     2 x  7 x  3x  2 x  7 x  3
                          3           2           2                exapnsion / uitbreiding
                     2 x3  5 x 2  4 x  3                       simplifying / vereenvoudiging

             f ( x)  2 x 3  bx 2  cx  d
                  b  5, c   4, d  3                                                                      (4)
8.1.2        f '( x)  6 x 2  10 x  4
                  0  6 x 2  10 x  4                             f '  x   6 x 2  10 x  4  0
                   3x 2  5 x  2  0
                     3x  1 x  2   0                         factorisation / faktorisering
                     x   or / of x  2
                                  1
                                  3

                       N is at f (2)
               f (2)  2  2   5  2   4  2   3
                                  3         2

                                                                   chosing/kies : x  2
                       9
            N  2 ;  9                                          y  9                                     (4)
8.1.3 (a)    x2
              1
              3
                                                                   answer / antwoord                         (2)
8.1.3 (b)    f ''( x)  12 x  10                                  f ''( x)  12 x 10
            12 x  10  0
                                                                   f ''( x)  0
                    12 x  10

                   x
                           5                                       answer / antwoord
                           6
                                           OR/OF                                    OR/OF
              1 2 5                                             x
                                                                      5
            x 3   
                2    6                                                6
                5                                                           5                5
            x                                                    x       OR/OF x    ; 
                6                                                           6                6
                                                                                                               (3)
8.2                           y
                                                                   f (0) = 0
                                                                   (m ; 0)

                                                (m;0)              shape / vorm
                                                         x

                                                                                                            (3)
                                                                                                           [16]

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20                                  MATHEMATICS P1/WISKUNDE V1                                 (EC/SEPTEMBER 2021)

QUESTION 9/VRAAG 9

9.1             A   12 15 x  8 x  2   15 xy    8 xy   17 xy     total surface area /
                                                                                totale buite-oppervlakte
            5760  120 x 2  40 xy
                  5760  120 x 2                                               5760  120 x2  40 xy
             y                                                                                               (2)
                      40 x
9.2         V  ( 12 b.h)  H
            V  12 15 x  8 x  y                                             substitution into V
                1              5760  120 x       2
                                                                                vervanging in V
                15 x  8 x 
                2                  40 x
                                                                               substituing for y
                      
                60 x 144  3 x 2                                              vervanging van y
                8640 x  180 x3                                                                               (2)

9.3         V '( x)  8640  540 x 2                                           V '( x)  8640  540 x2
            V '( x)  0
                                                                               V '( x)  0
             8640  540 x 2  0
              8640  540 x 2
                                                                               simplification /
                    x 2  16                                                    vereenvoudiging
                  x  4
                                                                               answer / antwoord
                                                                                                               (4)
                                                                                                               [8]

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(EC/SEPTEMBER 2021)                  MATHEMATICS P1/WISKUNDE V1                                    21

QUESTION 10/VRAAG 10

10.1.1      P(B)  1  P(not/nie B)
                   1  0, 45
                   0,55                                            0,55
                                                                                                  (1)

10.1.2      P(A and/en B)  P(A)×P(B)                               P(A) P(B)
                             0, 2  0,55
                             0,11

            P(A or/of B)  P(A)  P(B)  P(A and/en B)              substitution / vervanging
                          0, 2  0,55  0,11
                                                   16
                            0, 64       or / of                    answer / antwoord
                                                   25
                                                                                                  (3)
10.2

                 P(late/laat )  1 x  3 (1  x)                    12 x  53 (1  x)
                                 2     5
               1 x  3 (1  x)  8                                  equating / gelyk stel
               2      5          15
              15 x  18(1  x)  16                                 substitution / vervanging
              15 x  18  18 x  16
                          3 x  2
                                     2                              answer / antwoord
                                x
                                     3                                                            (4)
                                                                                                  [8]

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22                              MATHEMATICS P1/WISKUNDE V1                           (EC/SEPTEMBER 2021)

QUESTION 11/VRAAG 11

11.1
            @@@ ###                                                   20  22  21
             20  22  21  10  10  10                              10  10  10
             9 240 000                                               answer / antwoord
                                                                                                      (3)
11.2
             20  19  3  10  10  5  20  3  19  10  10  5    20  19  3  10  10  5
                                   9 240000
              1140 000                                                20  3  19  10  10  5
                                                                     adding / optel
              9 240000
               19                                                     9 240 000
                   or / of 0,12 or / of 12,34%                       answer / antwoord
              154
                                                                                                      (5)
                                                                                                      [8]

                                                                       TOTAL/TOTAAL:                 150

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