# Mathematics Grade 10 P1 Gauteng November 2020 QP (Afr)

> Grade 10 Mathematics Paper 1 question paper from the Gauteng November 2020 (Afrikaans), 5 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr10-math-p1-afrikaans-2020-exemplars-question-paper/17292946-17d9-4c93-81f3-dc74772f4815
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Question paper
- Year: 2020
- Exam period: Gauteng November
- Paper: 1
- Curriculum: CAPS
- Pages: 5

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## About this document

Mathematics · Grade 10 · Gauteng November · 2020 · Afrikaans. Question paper, 5 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
                     NOVEMBER 2020
                         GRAAD 10

                        WISKUNDE

                       (VRAESTEL 1)

TYD: 1 uur
PUNTE: 50

5 bladsye

                                                 b.o.

### Page 2

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                                                    WISKUNDE (VRAESTEL 1)                 2
                                                                  GRAAD 10

INSTRUKSIES EN INLIGTING

1.    Hierdie vraestel bestaan uit SES vrae

2.    Beantwoord AL die vrae.

3.    Toon ALLE berekeninge, diagramme, grafieke, ensovoorts wat jy gebruik het om die
      antwoorde te bepaal.

4.    SLEGS antwoorde sal NIE noodwendig volpunte verdien NIE.

5.    Jy mag ŉ goedgekeurde wetenskaplike sakrekenaar gebruik (nie-programmeerbaar en
      nie-grafies), tensy anders vermeld.

6.    Diagramme word NIE noodwendig volgens skaal geteken nie.

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

8.    Nommer jou antwoorde volgens die nommeringstelsel wat in hierdie vraestel gebruik
      word.

9.    Skryf netjies en leesbaar.

                                                                                              b.o.

### Page 3

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                                                       WISKUNDE (VRAESTEL 1)       3
                                                                     GRAAD 10

VRAAG 1

Vir watter waarde(s) van x is die uitdrukking:

             ; x  11;  5; 0; 15
        9
A
      11  x

1.1       rasionaal                                                                            (1)

1.2       nie-reële                                                                            (1)

1.3       ongedefinieerd                                                                       (1)

                                                                                               [3]

VRAAG 2

Vereenvoudig die volgende:

           x2  x  6   x 2  16     1
2.1                              
           3x  12 x x  2 x
              2         2       2
                                    x4                                                        (5)

           6 2a . 12a
2.2
               2 a2                                                                           (4)

2.3       As 𝑎2 + 𝑏 2 = 8𝑎𝑏; bepaal die waarde van (𝑎 + 𝑏)2 in terme van a en b.               (3)

                                                                                              [12]

VRAAG 3

Faktoriseer die volgende volledig:

                    1
          64p 3 
3.1                 27                                                                         (2)

3.2       24𝑘𝑦 3 − 6𝑘𝑦 − 24𝑦 + 96𝑦 3
                                                                                               (4)

                                                                                               [6]

                                                                                       b.o.

### Page 4

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                                                       WISKUNDE (VRAESTEL 1)         4
                                                                     GRAAD 10

VRAAG 4

4.1   Los op vir 𝑥:

             3 x 3
      1
                     729
       3                                                                                       (3)

4.2   Los op vir x en skryf die antwoord in intervalnotasie:

                1 x
      4            3
                 3                                                                               (4)

4.3   Kaartjies vir ŉ skoolkonsert word teen R6 vir kinders en R10 vir volwassenes
      verkoop. As altesaam 150 kinders en volwassenes die konsert bywoon en R1 100
      toegangsgeld betaal, bepaal hoeveel kinders die konsert bywoon.                            (4)

                                                                                                [11]

VRAAG 5

5.1   Beskou die volgende patroon:

      –3; 1; 5; 9; …

      5.1.1             Bepaal die algemene term.                                                (2)

      5.1.2             Bereken 𝑇38                                                              (1)
                                                                                                 [3]

                                                                                         b.o.

### Page 5

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    VRAAG 6

    In die gegewe skets word die volgende grafieke voorgestel:

    f ( x)  3x2 12, g ( x)  x  2 en h( x)  a x  q.

    A en B is die x-afsnitte en C is die draaipunt van f. D is die y-afsnit van g.
    K (1 ; 4) is ŉ punt op die grafiek van ℎ.

                                                       K

                                              O    F

    6.1       Bereken die lengte van GH as OF = 1 eenheid.                                     (3)

    6.2       Bepaal:

              6.2.1       die koördinate van E, die snypunt van f en g                         (5)

              6.2.2       die vergelyking van ℎ                                                (3)

              6.2.3       k as k die refleksie van f om die x-as is                            (2)

    6.3       Vir watter waarde(s) van x sal f ( x)  0.                                       (2)

                                                                                              [15]

<
                                                                                     TOTAAL    50

                                                           EINDE

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