# Mathematics Grade 10 P1 Gauteng June 2016 QP (Afr)

> Grade 10 Mathematics Paper 1 question paper from the Gauteng June 2016 (Afrikaans), 4 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2016-question-papers/bc064649-cbd2-48d4-a47d-a2a730f07000
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Question paper
- Year: 2016
- Exam period: Gauteng June
- Paper: 1
- Curriculum: CAPS
- Pages: 4

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## About this document

Mathematics · Grade 10 · Gauteng June · 2016 · 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) June 2016 Possible Answers](https://www.hlayiso.com/library/gr10-math-p1-afrikaans-june-2016-possible-answers/137f30ce-23ec-4e03-a749-7c6b6defb0b9) — Memo · 2016 · 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 2016
                           GRAAD 10

                          WISKUNDE
                         (VRAESTEL 1)

TYD: 60 minute

PUNTE: 50

4 bladsye

                                                 b.o.

### Page 2

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                                                       WISKUNDE                       Graad 10   2
                                                       (Vraestel 1)

                       GAUTENGSE DEPARTEMENT VAN ONDERWYS
                                     PROVINSIALE EKSAMEN

                                                                   WISKUNDE
                                                                   (Vraestel 1)

                                                                   TYD: 60 minute

                                                                   PUNTE: 50

INSTRUKSIES EN INLIGTING

1.   Beantwoord AL die vrae.

2.   Toon AL jou bewerkings, diagramme, grafieke, ens. wat jy gebruik het om by jou
     antwoord uit te kom, duidelik aan.

3.   Antwoorde alleen sal nie volpunte verdien nie.

4.   ŉ Goedgekeurde wetenskaplike sakrekenaar (nie-programmeerbaar en nie-grafies) mag
     gebruik word, tensy anders aangedui word.

5.   Indien nodig moet antwoorde tot TWEE desimale plekke afgerond word, tensy anders
     aangedui word.

6.   Diagramme is NIE noodwendig volgens skaal geteken nie.

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

8.   Dit is in jou eie belang om leesbaar te skryf en jou werk netjies aan te bied.

                                                                                                 b.o.

### Page 3

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                                                         WISKUNDE                Graad 10    3
                                                         (Vraestel 1)

VRAAG 1

1.1   Skryf 0,88 oor as ŉ gewone breuk.                                                     (1)

1.2   Vir watter waarde(s) van x is die uitdrukking ongedefinieer as
                 9
      f ( x)         en x {–5, 0, 11}?
               11 - x                                                                       (1)

1.3   Bepaal tussen watter twee heelgetalle die volgende irrasionale getal lê.

                45                                                                          (2)
                                                                                            [4]

VRAAG 2

2.1   Vereenvoudig:

      2.1.1   (2 x  3) (2 x 2  x  2)                                                     (2)

              x3  x 3  27     x 3
      2.1.2        2        2
              x3   x 9      x  3x  9                                                    (3)

              2 x 2 y 2  8 x 5 y 8
      2.1.3
                  (2 x 2 y 4 ) 2                                                           (3)

2.2   Faktoriseer volledig:

      2.2.1   2a2 + 9a – 5                                                                  (2)

      2.2.2   a2 + a(4 + b) + 4b                                                            (3)
                                                                                            [13]

VRAAG 3

3.1   Los op vir x:

      3.1.1   (x – a) (x + b) = 0                                                           (2)

      3.1.2   2x + 2x–1 = 12                                                                (4)

3.2   Los op vir x en stel jou antwoord op ŉ getallelyn voor as x = N0.
      2(2x – 3) – 18  2x                                                                   (4)

                                                                                              b.o.

### Page 4

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                                                          WISKUNDE                         Graad 10      4
                                                          (Vraestel 1)

3.3   Los vir x en y gelyktydig op:

      2x + y = 6
      4x + 3y = 10                                                                                      (5)
                                                                                                        [15]

VRAAG 4

                                1 2 6 8
4.1   Gegee die getalpatroon:    ; ; ;   ...
                                2 5 8 11

      4.1.1   Skryf die volgende TWEE terme in die patroon neer.                                        (1)

      4.1.2   Bepaal die algemene term.                                                                 (3)

4.2   Gegee: Tn = – 2n3

      4.2.1   Bepaal die 8ste term.                                                                     (1)

      4.2.2   Watter term is – 432?                                                                     (2)
                                                                                                        [7]

VRAAG 5

5.1   Gegee: f (x) = x2 – 2 en g (x) = 3x

      5.1.1   Skets die grafiek vir f (x) en g (x) op dieselfde assestelsel. Dui alle afsnitte op die
              grafiek duidelik aan.                                                                     (4)

      5.1.2   Vir watter waarde(s) van x is g (x) > 1?                                                  (1)

      5.1.3   Skryf die waardeversameling van f (x) neer.                                               (1)

      5.1.4   Beskryf die transformasie van f (x) na h (x) = (x – 2) (x + 2).                           (2)

                                                        a
5.2   Bepaal die vergelyking van die funksie g (x) =       + q, waar y = –2 die asimptoot is. Die
                                                        x
      reguit lyn f (x) = –x sny die grafiek van g (x) by die punt (5; –5).                              (3)
                                                                                                        [11]

                                                                                           TOTAAL: 50

                                                   EINDE

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