# Mathematics Grade 10 P1 Gauteng June 2018 QP (Afr)

> Grade 10 Mathematics Paper 1 question paper from the Gauteng June 2018 (Afrikaans), 6 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2018-question-paper/521b2294-1c34-488d-ae4e-e2863fffef72
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Question paper
- Year: 2018
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 6

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## About this document

Mathematics · Grade 10 · Gauteng June · 2018 · Afrikaans. Question paper, 6 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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             GAUTENGSE DEPARTEMENT VAN ONDERWYS
                     PROVINSIALE EKSAMEN
                         JUNIE 2018
                          GRAAD 10

                          WISKUNDE

                         (VRAESTEL 1)

TYD: 1 uur
PUNTE: 50

6 bladsye

                                                  b.o.

### Page 2

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                                                          WISKUNDE (VRAESTEL 1)                     2
                                                                        GRAAD 10

                         GAUTENGSE DEPARTEMENT VAN ONDERWYS
                                    PROVINSIALE EKSAMEN

                                                            WISKUNDE (VRAESTEL 1)

                                                            Tyd: 1 uur
                                                            Punte: 50

INSTRUKSIES

1.   Beantwoord AL die vrae,

2.   Dui ALLE berekeninge, diagramme, grafieke, ensovoorts wat jy gebruik het om jou antwoorde te
     bepaal, duidelik aan.

3.   Volpunte sal nie noodwendig aan slegs antwoorde toegeken word nie.

4.   Jy mag ŉ goedgekeurde, wetenskaplike sakrekenaar (nieprogrammeerbaar en niegrafies) gebruik,
     tensy anders vermeld.

5.   Indien nodig, rond antwoorde tot TWEE desimale plekke af, tensy anders vermeld.

6.   Diagramme is NIE noodwendig volgens skaal geteken nie.

7.   Nommer die antwoorde korrek volgens die nommeringstelsel wat in hierdie vraestel gebruik is.

8.   Skryf netjies en leesbaar.

                                                                                                    b.o.

### Page 3

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                                                           WISKUNDE (VRAESTEL 1)             3
                                                                         GRAAD 10

VRAAG 1

1.1   Die waarde van 33 lê tussen twee heelgetalle. Bepaal hierdie heelgetalle sonder om
      die presiese waarde van 33 te bepaal.                                                (2)

1.2   Herlei die volgende repeterende desimale breuk, 0, 4 5 na ŉ gewone breuk in die
      eenvoudigste vorm.                                                                   (3)
                                                                                           [5]

VRAAG 2
2.1   Vereenvoudig:

      2.1.1    (3x) 2 ( 2 xy ) 3
                   2x5 y 4                                                                 (3)

      2.1.2   1     1    q 1      2
                q   q   2   qp 
              p     p    p q                                                         (3)

2.2   Faktoriseer volledig:

      2.2.1   6 p  40  p 2                                                               (3)

      2.2.2    xy  ( y  x)b  b2                                                        (4)
                                                                                           [13]

                                                                                             b.o.

### Page 4

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                                                            WISKUNDE (VRAESTEL 1)              4
                                                                          GRAAD 10

VRAAG 3
3.1   Los op vir x :
        x2        3      1
                     
      x  3x  4 x  4 2  2 x
       2
                                                                                             (5)

3.2   Los op vir x indien x IR, en illustreer jou antwoord op ŉ getallelyn.
            x                                                                                (3)
       2  1  3
            2
                                                                                             [8]

VRAAG 4

4.1   Die volgende patroon word gegee: 5 ; 8 ; 11 ; 14 ; …

      Bepaal die algemene term van die patroon.                                              (3)

4.2   3x  7; 2 x; 3x  1;.... is die eerste drie terme van ŉ liniêre patroon.

      4.2.1   Indien die patroon in hierdie konteks herhaal word, bepaal die waarde van x.   (4)

      4.2.2   Watter term in hierdie reeks is die eerste wat groter as 31 is?                (3)
                                                                                             [10]

                                                                                               b.o.

### Page 5

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                                                          WISKUNDE (VRAESTEL 1)                 5
                                                                        GRAAD 10

VRAAG 5
5.1   Die onderstaande skets verteenwoordig die grafiek van f ( x)  b x  q . ŉ Koördinaat
      A(2;5) lê op die grafiek.

      Bereken die waardes van b en q .                                                        (3)

                                                                                                b.o.

### Page 6

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                                                            WISKUNDE (VRAESTEL 1)                 6
                                                                          GRAAD 10

                                         3
5.2   Gegee: f ( x)   x  2 en g ( x)    , wat nie volgens skaal geteken is nie.
                                          x
      P en Q is punte van die deursnitte van die grafieke.

                              G
                                            P
                                        f

                               E                        B
                                                  0
                                                               Q
                               F                        g

      Bepaal:

      5.2.1     Die koördinate van P en Q.                                                      (6)

      5.2.2     Die koördinaat van B.                                                           (2)

      5.2.3     Die lengte van GF indien E(-6; 0).                                              (3)
                                                                                                [14]

                                                                                      TOTAAL:    50

                                                EINDE

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