# Mathematics Grade 12 Paper 2 NSC June 2019 Addendum

> Grade 12 Mathematics Paper 2 addendum from the NSC June Exam 2019, 25 pages. Read online or get the free PDF download.

- Page: https://www.hlayiso.com/library/mathematics-p2-may-june-2019-answer-book-afr-eng/6b5f5417-77bd-4306-b389-48956562b7c9
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 12
- Document type: Addendum
- Year: 2019
- Exam period: NSC June Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 25

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## About this document

Mathematics · Grade 12 · NSC June Exam · 2019. Addendum, 25 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

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                                                                                    Candidate Barcode label/Stafieskodeplakker

          SC/NSC Answer Book
         SS/NSS Antwoordeboek
  Seniorsertifikaat-Eksamenantwoordeboek
   Senior Certificate/National Senior Certificate/Senior Sertifikaat/Nasionale Senior Sertifikaat (Grade 12/Graad 12)

CENTRE NUMBER
SENTRUMNOMMER

EXAMINATION NUMBER
EKSAMENNOMMER

DATE                                                                             BOOK NUMBER                           OF             BOOKS
DATUM                                                                            BOEKNOMMER                            VAN            BOEKE

SUBJECT CODE                                                                     PAPER NUMBER
VAKKODE                                                                          VRAESTELNOMMER                          2
SUBJECT NAME
VAKNAAM                        MATHEMATICS/WISKUNDE
                                                                 MODERATOR'S INITIALS IN RELEVANT BLOCK
            MARKER/NASIENER
                                                              MODERATOR SE VOORLETTERS IN RELEVANTE BLOKKIE
                          Marker's code
 Question       Marks      and Initials     Marks             Marks     DCM      Marks         CM          Marks                 Marks
                                                      SM                                                                   IM                EM
  Vraag         Punte    Nasiener se kode   Punte             Punte     AHN      Punte         HN          Punte                 Punte
                          en Voorletters

                           TOTAL
                           TOTAAL

 CONTROLLED AND CERTIFIED CORRECT
 (SURNAME AND INITIALS OF EA)                                                                              READ INSTRUCTIONS ON THE NEXT PAGE.
                                                                                                            LEES INSTRUKSIES OP VOLGENDE BLADSY.
 GEKONTROLEER EN AS KORREK
 GESERTIFISEER (VAN EN VOORLETTERS
 VAN EA)
            This answer book consists of 25 pages./Hierdie antwoordeboek bestaan uit 25 bladsye.

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### Page 2

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Mathematics P2/Wiskunde V2                         2                                                     DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

     PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY                VOLG ASSEBLIEF HIERDIE INSTRUKSIES NOUKEURIG

1.      Clearly write your examination number and         1.     Skryf jou eksamennommer en sentrumnommer
        centre number in the space provided and                  duidelik in die ruimtes verskaf en plak jou
        attach your barcode label in the space                   stafieskodeplakker in die ruimte verskaf.
        provided.

2.      Remember that your own name (or the name          2.     Onthou dat jou eie naam (of die naam van jou
        of your school) may NOT appear anywhere on               skool) NIE op of in hierdie antwoordeboek
        or in this answer book.                                  mag voorkom NIE.

3.      Answer ALL questions in the spaces provided.      3.     Beantwoord ALLE vrae in die ruimtes wat
                                                                 verskaf is.

4.      NO pages may be torn from this answer book.       4.     GEEN bladsye mag uit hierdie antwoordeboek
                                                                 geskeur word NIE.

5.      Read the instructions printed on your             5.     Lees die instruksies, wat op jou
        timetable carefully as well as any other                 eksamenrooster gedruk is, sorgvuldig deur,
        instructions which may be given in each                  asook enige ander instruksies wat op elke
        question paper.                                          vraestel gegee word.

6.      Candidates may NOT retain an answer book          6.     GEEN antwoordeboek mag deur die
        or remove it from the examination room.                  kandidaat behou of uit die eksamenlokaal
                                                                 verwyder word NIE.

7.      Answers must be written in black/blue ink as      7.     Skryf die antwoorde so duidelik moontlik met
        distinctly as possible. Do NOT write in the              swart/blou ink. Laat die kantlyne oop.
        margins.

8.      Write the numbers of the questions you have       8.     Skryf die nommers van die vrae wat jy
        answered on the front cover of the answer                beantwoord het op die voorblad van die
        book where marks are to be recorded.                     antwoordeboek waar die punte aangebring
                                                                 word.

9.      If you require additional space for your          9.     In geval jy bykomende ruimte benodig vir jou
        answers:                                                 antwoorde:
        9.1      Use the additional space provided at            9.1     Gebruik die bykomende ruimte wat
                 the end of the answer book.                             aan die einde van die antwoordeboek
        9.2      When answering a question in the                        verskaf word.
                 additional space, clearly indicate the          9.2     As 'n vraag in die bykomende ruimte
                 question number in the column on the                    beantwoord word, dui duidelik
                 LHS.                                                    die vraagnommer in die kolom aan
        9.3      Rule off after each answer.                             die LK aan.
                                                                 9.3     Trek 'n lyn na elke antwoord.

10.     Draw a neat line through any work/rough           10.    Trek 'n netjiese lyn deur enige werk/rofwerk
        work that must not be marked.                            wat nie nagesien moet word nie.

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Mathematics P2/Wiskunde V2                         3                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 1

                             TIME TAKEN (t)               NUMBER OF
                              (IN MINUTES)/               CHILDREN/
                             TYD GENEEM (t)                 GETAL
                               (IN MINUTE)                 KINDERS
                                  2t6                        2
                                  6  t  10                  10
                                 10  t  14                   9
                                 14  t  18                   7
                                 18  t  22                   8
                                 22  t  26                   7
                                 26  t  30                   2

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
1.1

                                                                                                          (1)
1.2

                                                                                                          (2)

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Mathematics P2/Wiskunde V2
                                       Downloaded from hlayiso.com
                                                   4                                                       DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

1. 3
                     Time in minutes (t)                 Number of children     Cumulative frequency
                      Tyd in minute (t)                    Getal kinders        Kumulatiewe frekwensie
                                        2t6                     2

                                       6  t  10                 10

                                       10  t  14                9

                                       14  t  18                7

                                       18  t  22                8

                                       22  t  26                7

                                       26  t  30                2
                                                                                                                          (2)
1. 4
                                             CUMULATIVE FREQUENCY GRAPH (OGIVE)
                                            KUMULATIEWEFREKWENSIEGRAFIEK (OGIEF)
                                       50

                                       40

              Cumulative frequency
                                       30

              Kumulatiewe frekwensie
                                       20

                                       10

                                        0
                                            0        5       10        15        20          25            30
                                                         Time in minutes • Tyd in minute
                                                                                                                          (3)
1.5

                                                                                                                          (2)
                                                                                                                         [10]

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Mathematics P2/Wiskunde V2                         5                                             DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 2

LEARNER/
                 L1     L2     L3       L4   L5   L6   L7   L8      L9    L10    L11 L12 L13 L14               L15
LEERDER
 TEST 1/
 TOETS 1          10    18     23       24   27   34   34   36      37     39     40     44      45     48      49
   (%)
 TEST 2/
 TOETS 2          33    21     32       20   58   43   49   48      41     55     50     45      62     68      60
   (%)

           Solution/Oplossing                                                                             Marks
                                                                                                          Punte
2.1

                                                                                                                (3)
2.2.1

                                                                                                                (1)
2.2.2

                                                                                                                (2)
2.3.1

                                                                                                                (2)
2.3.2

                                                                                                                (2)
                                                                                                               [10]
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Mathematics P2/Wiskunde V2                         6                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 3

                                                     y
                                                         K

                                                      B

                                                                                                         x
                                        E(–2; 0)     0

  A

                                                                    C(2 ; –3)

                                        D(–2 ; –5)

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
3.1.1

                                                                                                          (2)
3.1.2

                                                                                                          (2)

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Mathematics P2/Wiskunde V2                         7                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
3.1.3

                                                                                                           (3)
3.1.4

                                                                                                           (3)
3.2

                                                                                                           (3)
3.3.1

                                                                                                           (1)
3.3.2

                                                                                                           (4)
                                                                                                          [18]

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Mathematics P2/Wiskunde V2                         8                                            DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 4

                                                    y
                                                            L

                                        T(–2 ; b)

                                                             M(2 ; 1)
                                                                                                                    x

                                                            K

               P

           Solution/Oplossing                                                                            Marks
                                                                                                         Punte
4.1

                                                                                                              (4)
4.2.1

                                                                                                              (2)

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Mathematics P2/Wiskunde V2                         9                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
4.2.2

                                                                                                           (4)
4.2.3

                                                                                                           (7)
4.3

                                                                                                           (4)
                                                                                                          [21]

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Mathematics P2/Wiskunde V2                        10                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 5

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
5.1.1

                                                                                                          (1)
5.1.2

                                                                                                          (1)
5.2

                                                                                                          (5)

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Mathematics P2/Wiskunde V2                        11                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
5.3

                                                                                                           (5)
                                                                                                          [12]

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Mathematics P2/Wiskunde V2                        12                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 6

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
6.1

                                                                                                          (6)

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Mathematics P2/Wiskunde V2                        13                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

6.2
                                                 y

                                                          D                             g

                                        B            0°                     A               180°          x
  –180°
                                                                                    f
             C

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
6.2.1(a)

                                                                                                              (1)
6.2.1(b)

                                                                                                              (2)
6.2.2(a)

                                                                                                              (2)
6.2.2(b)

                                                                                                              (2)

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Mathematics P2/Wiskunde V2                        14                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

6.2.3

                                                                                                           (5)
                                                                                                          [18]

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Mathematics P2/Wiskunde V2                        15                                          DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 7
                                                                                       E

                  A
                      
                                                                                     D
                                               2
                  B                                    60°          x+2
                                x
                                               C
                                                                                     H
                 F

                                                G

           Solution/Oplossing                                                                          Marks
                                                                                                       Punte
7.1.1

                                                                                                            (2)
7.1.2

                                                                                                            (2)

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### Page 16

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Mathematics P2/Wiskunde V2                        16                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
7.2

                                                                                                           (3)
7.3

                                                                                                           (4)
                                                                                                          [11]

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### Page 17

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Mathematics P2/Wiskunde V2                        17                                            DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

Give reasons for your statements in QUESTIONS 8, 9 and 10.
Gee redes vir jou bewerings in VRAAG 8, 9 en 10.

QUESTION/VRAAG 8

8.1

                                                                    P

                                              N                                 M
                                                   2
                                               1

                                                       O

                            L
                                                                                 S

                                                            31°

                                                       T

           Solution/Oplossing                                                                            Marks
                                                                                                         Punte
8.1.1(a)

                                                                                                              (2)
8.1.1(b)

                                                                                                              (2)
8.1.2

                                                                                                              (4)
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Mathematics P2/Wiskunde V2                        18                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

8.2
                                                    B

                                        K
                                                L

                     A            N         M                                             C

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
8.2.1

                                                                                                           (2)
8.2.2

                                                                                                           (3)
                                                                                                          [13]

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Mathematics P2/Wiskunde V2                        19                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 9

      K
           x
                               M
                              1 2

                                                   N
                                               1   2

                               1 2                                                  A
                                        3
                               B

           Solution/Oplossing                                                                        Marks
                                                                                                     Punte
9.1

                                                                                                           (6)
9.2

                                                                                                           (5)
                                                                                                          [11]

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Mathematics P2/Wiskunde V2                        20                                            DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

QUESTION/VRAAG 10

10.1

                               A
                                                                         D

                                                                                  F
                                                               E

                
         B                                       C

             Solution/Oplossing                                                                          Marks
                                                                                                         Punte

                                                                                                              (6)

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### Page 21

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Mathematics P2/Wiskunde V2                        21                                                 DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

10.2

                                                D

                                                               4       G
                                                                   3
                                                                       2 1

                                                         2 1                 2 1
                          A                    O           F                   B          C

                                                E

            Solution/Oplossing                                                                                Marks
                                                                                                              Punte
10.2.1(a)

                                                                                                                   (3)
10.2.1(b)

                                                                                                                   (5)
10.2.2(a)

                                                                                                                   (3)

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### Page 22

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Mathematics P2/Wiskunde V2                        22                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

            Solution/Oplossing                                                                       Marks
                                                                                                     Punte
10.2.2(b)

                                                                                                           (5)
10.2.2(c)

                                                                                                            (4)
                                                                                                          [26]
                                                                            TOTAL/TOTAAL:                  150

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Mathematics P2/Wiskunde V2                        23                                        DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Additional space/Bykomende ruimte                                                         Marks
                                                                                                     Punte

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### Page 24

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Mathematics P2/Wiskunde V2                        24                                          DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

           Additional space/Bykomende ruimte                                                         Marks
                                                                                                     Punte

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

### Page 25

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Mathematics P2/Wiskunde V2                        25                              DBE/2019
                        SC/NSC/SS/NSS – Answer Book/Antwoordeboek

                                          RE-MARK/RE-CHECK
                                           HERMERK/HERSIEN
                              Question          Marks                Initials
                               Vraag             Punte              Voorletters

                              TOTAL
                              TOTAAL
                               HASH
                              TOTAL
                               KAF-
                              TOTAAL

Copyright reserved/Kopiereg voorbehou

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