# Mathematics Grade 11 P1 Gauteng June 2018 Memo (Afrikaans)

> Grade 11 Mathematics Paper 1 memorandum from the Gauteng June 2018 (Afrikaans), 8 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr11-math-p1-afrikaans-june-2018-possible-answers/a603e036-67e3-4b3c-89ce-a5e9a00cfccc
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 11
- Language: Afrikaans
- Document type: Memorandum
- Year: 2018
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 8

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## About this document

Mathematics · Grade 11 · Gauteng June · 2018 · Afrikaans. Memorandum, 8 pages. Read online or download the PDF.

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

## Matching paper and memo

- [Gr11 Math P1 (Afrikaans) November 2017 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-november-2017-question-paper/b933e467-3a29-4cbf-8117-6b05a4fc5378) — QP · 2018 · Afr

## Document text

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

### Page 1

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                            .

            GAUTENGSE DEPARTEMENT VAN ONDERWYS
                   PROVINSIALE EKSAMEN
                        JUNIE 2018
                         GRAAD 11

                        WISKUNDE
                        VRAESTEL 1

                       MEMORANDUM

8 bladsye

### Page 2

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                                                                WISKUNDE
                                                  MEMORANDUM
                                                                (Vraestel 1)               GRAAD 11

                             GAUTENGSE DEPARTEMENT VAN ONDERWYS
                                                  PROVINSIALE EKSAMEN

                                                                   WISKUNDE
                                                                   (Vraestel 1)

                                                                   MEMORANDUM

INLIGTING

A – Akkuraatheid

C.A. – Deurlopende Akkuraatheid

NOTA:

     Indien ŉ kandidaat ŉ vraag TWEE MAAL beantwoord het, merk slegs die eerste poging.
     Indien ŉ kandidaat ŉ antwoord DOODGETREK het, maar dit nie oorgedoen het nie, merk die
      doodgetrekte antwoord.
     Volgehoue akkuraatheid word in ALLE aspekte van die memorandum toegepas. Hou op nasien
      by die tweede berekeningsfout.
     Om antwoorde / waardes om ŉ probleem op te los, te veronderstel, is ONAANVAARBAAR.

VRAAG 1

1.1   1.1.1                                                          antwoord                 (1)

      1.1.2                                                          antwoord                 (1)
                                                                    
1.2       (        )                                                
                                                                     1                        (2)

1.3   1.3.1 (          )(            )
                                                                    
                            of
                                                                                              (2)

      1.3.2                      √

                                                                     Vervanging
                       ( ) √( )            ( )(    )
                                     ( )

                            √                                       
                                                                    
                                                                     Korrekte afronding
                                                                                               (4)

                                                          2

### Page 3

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                                                                               WISKUNDE
                                                                  MEMORANDUM
                                                                               (Vraestel 1)               GRAAD 9

      1.3.3
                      (             )(                  )                         faktore
                                    (               )
                                                                                  antwoord                   (2)

      1.3.4                     √
                                √
                                                                                  kwadreer albei kante
                  ( √                   )           (         )
                           (                )
                                                                                  standaardvorm
                  (                 )(              )
                                                                                  faktore

                                                                                  kritiese waardes
                                                                                  kies                       (5)

      1.3.5
                      (                         )                                 faktore
                      ( )
                          ( )
                                                                                  vereenvoudig

                                                                                  antwoord
                                                                                                              (3)

1.2

                                                                                     as onderwerp
              (                 )               (             )
                                                                                   vervanging

      (           )(                )                                            standaardvorm
                                                                                 faktore

              ( )                                       ( )
                                                                                 beide y-waardes

                                                                                 beide x-waardes             (6)
                                                                                                              [26]

                                                                       3

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                                                          WISKUNDE
                                             MEMORANDUM
                                                          (Vraestel 1)                      GRAAD 9

VRAAG 2

2.1    √       √
                                                              vereenvoudig ( √ )
           √               √
           √       √                                          vereenvoudig ( √ )
        √                                                     antwoord                         (3)

2.2   2.2.1    To show:
                                                              faktore (            )
               LK:
                               (         )                    faktore
                               ( )                              (      (       ))

                                     RK
                                                                                                (2)

      2.2.2                                                    vervanging (            )

                                                               faktore (
                       (             )                         faktore
                                                                           (            )
                           (             )

                                                               antwoord
                                                                                                (4)

2.3   2.3.1
                                                               

                                                                noemer
                                                                teller                         (3)

      2.3.2     Som van omgekeerdes
                   som van omgekeerdes                         formule
                   som van omgekeerdes                         vervanging (10)
                                                               vervanging (20)

                                                               vereenvoudigde
                                                                antwoord                        (4)
                                                                                                [16]

                                                  4

### Page 5

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                                                                    WISKUNDE
                                                       MEMORANDUM
                                                                    (Vraestel 1)              GRAAD 9

VRAAG 3

3.1   3.1.1   -27 ; -39                                                   -27
                                                                          -39                    (2)

      3.1.2   1 -3 -9 -17                                                metodepunt om die
                                                                          eerste en tweede
               -4       -6       -8                                       verskille te vind

                 -2       -2
                        tweede verskil

                                                                        

                    (    )
                                                                        

                             (        )
                                                                        
                                                                                                  (4)

      3.1.3
                                 (        )   (    )                     vervanging
                                                                         antwoord                (2)

      3.1.4                                   en
                                                                         

                                                                          standaardvorm
                (                )(           )
                                                  term                                           (3)

                                                            5

### Page 6

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                                                               WISKUNDE
                                             MEMORANDUM
                                                               (Vraestel 1)                      GRAAD 9

3.2   Die patroon wat gevorm word:

      1; 4; 6; 9; 16; 25;......                                        

                 waar    verwys na die       onewe getal               

      Watter onewe getal is                                            

      Formule vir die onewe getalle is
                                                                           vereenvoudig
      (Hierdie is ŉ linêre getalpatroon met         en
                                                                       

                                                                       
                                                                                                     (6)

3.3   5n – 2  100                                                     
          5n  102
           n  20,4                                                
         n = 20                                                           n 
         20 vrae                                                            
                                                                           n                   (3)
                                                                                                     [20]

VRAAG 4

4.1   A(0 ; 1)                                                                 x=0
                                                                               y=1                  (2)

4.2   4.2.1       ( )             OF   ( )    ( )                            ( )
                                                                              OF
                                                                             ( )         ( )       (2)
                                             𝑦
      4.2.2

                                                                            vorm
                                                                            y-afsnit
                                                                            x-as asimptoot

                                                           𝑥

                                                                                                     (3)

                                                      6

### Page 7

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                                                                    WISKUNDE
                                                       MEMORANDUM
                                                                    (Vraestel 1)                    GRAAD 9

4.3   4.3.1         ( )                                                   refleksie in -as
                    ( )       (   )                                       1 eenheid regs
                    ( ) (       )                                         2 eenhede op
                    ( ) ( )
                   Gereflekteer in die -as en daarna getransleer 1
                 eenheid na regs en 2 eenhede opwaarts                                                  (3)
                                                                                                        [10]

VRAAG 5

5.1        ( )            (                )                              voltooiing van vierkant
           ( )            (                        )                       +1
           ( )            [(           )       ]                          -1
           ( )            (           )                                   faktoriseer (      )
      OF                                                                  vereenvoudiging van
                                                                              [(      )     ]

                          (       )                                                    (   )

                 (            )                                          
      Verv in                 (       )
                                               (       )                           (       )

                                                                          vervanging                   (4)

5.2   Q(1 ; 18)                                                               x=1
                                                                              y = 18                   (2)

5.3

         (           )(           )                                       standaardvorm
                                                                          faktoriseer
           (          ) en (               )                             
                                                                          (       ) en (       )       (4)

                                                            7

### Page 8

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                                                                 WISKUNDE
                                                    MEMORANDUM
                                                                 (Vraestel 1)                            GRAAD 9

5.4   Vert: x                en Hor: y                                     
                   en                                                      
                                                                           
                                                                                                            (4)

5.5             OF                                                        
          (      )                                                          OF
                                                                                   (       )               (2)

5.6       (              )                                                             (               )   (2)

5.7       (             )                                                       (               )
                OF                                                         
          (                 )   (       )                                        OF
                                                                                (                   )
                                                                            (     )                         (2)
                                                                                                             [20]

VRAAG 6

6.1      ( )             (          )                                       p=1
         ( )             (                  )                               q=8
         ( )                                                               
                                                                           
                   en
                                                                                                            (5)

6.2    ( )           (          )                                           a = -2
              OF                                                            p=1
       ( )           (          )       (       )                           q = 11
                                                                                  OF
         ( )                                                                a=-2
                                                                            b=-4
                                                                            c= 9                            (3)
                                                                                                             [8]

                                                                                         TOTAAL: 100

                                                         8

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