# Mathematics Grade 10 P1 Gauteng June 2019 QP (Afr)

> Grade 10 Mathematics Paper 1 question paper from the Gauteng June 2019 (Afrikaans), 4 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2019-question-paper/9c57c888-5bd1-4b71-9177-daa4f68fe2e7
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Question paper
- Year: 2019
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 4

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## About this document

Mathematics · Grade 10 · Gauteng June · 2019 · Afrikaans. Question paper, 4 pages. Read online or download the PDF.

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

## Matching paper and memo

- [Gr10 Math P1 (Afrikaans and English) June 2019 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-and-english-june-2019-possible-answers/ce0cbf93-1614-4c22-8b6e-72953c486036) — Memo · 2019 · 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 2019
                          GRAAD 10

                          WISKUNDE

                         (VRAESTEL 1)

TYD: 1 uur
PUNTE: 50

4 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 EN INLIGTING:

1.   Hierdie vraestel bestaan uit VIER vrae.

2.   Beantwoord AL die vrae.

3.   Dui ALLE bewerkings, sketse, grafieke ens. duidelik aan, wat gebruik word om jou antwoord te
     bepaal.

4.   Antwoorde alleen sal nie noodwendig volpunte verdien nie.

5.   ŉ Goedgekeurde wetenskaplike sakrekenaar (nieprogrammeerbaar en niegrafies) mag gebruik
     word, tensy anders vermeld.

6.   Rond antwoorde af, waar nodig, tot TWEE desimale plekke, tensy anders vermeld.

7.   Diagramme is NIE noodwendig volgens skaal geteken nie.

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

1.1   Vereenvoudig die volgende:

      1.1.1   (5x 1) (2 x2  3x 1)                                                         (3)

              9 x 1.5x  2
      1.1.2                                                                                  (3)
                45x 1

1.2   Faktoriseer volledig:

      1.2.1   2 x 2  3x  5                                                                 (2)

      1.2.2   3(3x4 y)2  (3x2 y 2 )3  12 x2  12 y 4                                    (6)
                                                                                             [14]

VRAAG 2

2.1   Los op vir :

      2.1.1   x( x  4)  12                                                                 (3)

               x  3 2 x  4 2 x
      2.1.2                
              1 x2   x 1    x 1                                                           (5)

      2.1.3   2x  2x 1  4                                                                 (3)

2.2   Gegee: 2   2 x 1 3

      2.2.1 Los op vir x.                                                                    (3)

      2.2.2 Herskryf jou antwoord in intervalnotasie.                                        (1)

      2.2.3 Illustreer jou antwoord op ŉ getallelyn vir x .                                 (1)

2.3   Die som van die kwadrate van twee opeenvolgende natuurlike getalle is 85. Bepaal die
      getalle.                                                                               (4)

                                                                                             [20]

                                                                                               b.o.

### Page 4

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                                                                WISKUNDE (VRAESTEL 1)                       4
                                                                              GRAAD 10

VRAAG 3

                                       1
Beskou die algemene term: Tn               .
                                     3n  1

3.1      Skryf die eerste TWEE terme van die ry neer.                                                 (2)

                                                         1
3.2      Bereken watter term in die ry ŉ waarde van         sal hê.                                   (2)
                                                        325
                                                                                                      [4]

VRAAG 4

Die grafieke van f ( x)  2 x  4 ; g ( x)  ax 2  q en h( x)  mx  c is hieronder geskets.
A en B is die x  afsnitte en C is die draaipunt van g . B is die x  afsnit en C is die y  afsnit
van f, A is die x  afsnit en D is die y  afsnit van h.

                                g.

4.1      Bepaal die vergelyking van g .                                                               (3)

                                           1
4.2      Bewys die vergelyking van h is y  x  1 indien die lengte van
                                           2                                                          (3)
         CD = 5 eenhede is.

4.3      Bereken die koördinaat van E, die snypunt van f en h.                                        (3)

4.4      Skryf die waardeversameling van g neer.                                                      (1)

4.5      Vir watter waarde van x is f ( x)  g ( x) ?                                                 (2)
                                                                                                      [12]
                                                                                          TOTAAL:       50

                                                    EINDE

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