# Mathematics Grade 10 P2 Gauteng June 2024 QP (Afr)

> Grade 10 Mathematics Paper 2 question paper from the Gauteng June Exam 2024 (Afrikaans), 6 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr-10-mathematics-p2-afrikaans-june-2024-question-paper/0746972c-d0cc-4ba2-bcc7-f65ad2bdf324
- Updated: 2026-09-27
- Subject: Mathematics
- Grade: Grade 10
- Language: Afrikaans
- Document type: Question paper
- Year: 2024
- Exam period: Gauteng June Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 6

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## About this document

Mathematics · Grade 10 · Gauteng June Exam · 2024 · Afrikaans. Question paper, 6 pages. Read online or download the PDF.

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

## Matching paper and memo

- [Gr 10 Mathematics P2 (English and Afrikaans) June 2024 Possible Answers](https://www.hlayiso.com/library/gr-10-mathematics-p2-english-and-afrikaans-june-2024-possible-answers/4ace3f08-2a22-4690-b9d9-1ed374d6b9f6) — Memo · 2024 · Afr

## Document text

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

### Page 1

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                    PROVINSIALE EKSAMEN
                         JUNIE 2024
                         GRAAD 10

                           WISKUNDE

                          (VRAESTEL 2)

TYD:        1 uur

PUNTE:      50

6 bladsye

                                               b.o.

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                                                WISKUNDE                                    2
                                                (VRAESTEL 2)                     GRAAD 10

INSTRUKSIES EN INLIGTING

Lees die volgende instruksies aandagtig deur voordat die vrae beantwoord word.

1.     Hierdie vraestel bestaan uit 5 vrae.

2.     Beantwoord AL die vrae.

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

4.     Slegs antwoorde sal NIE noodwendig volpunte ontvang NIE.

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

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

7.     Diagramme is NIE noodwendig volgens skaal geteken NIE.

8.     Skryf netjies en leesbaar.

                                                                                                b.o.

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                                                  WISKUNDE                                      3
                                                  (VRAESTEL 2)                     GRAAD 10

VRAAG 1

In die figuur hieronder is A(−5 ; 2) en B(4 ; –2) punte op 'n lynstuk AB.
                                             y

                           A(–5 ; 2)

                                                                            x

                                                            B(4 ; –2)

1.1   Bepaal die lengte van AB.                                                                 (3)

1.2   Bepaal die koördinate van die middelpunt van AB.                                          (3)

1.3   Bepaal die gradiënt van lyn AB.                                                           (3)

1.4   Punt A ondergaan 'n sekere transformasie na 'n punt A' sodat die gradiënt van die lyn
      A'B ongedefinieerd is.

      Beskryf die transformasie wat punt A na A' afbeeld.                                      (2)
                                                                                              [11]

VRAAG 2

2.1   As A = 78° en B =34°. Bereken die waardes van die volgende uitdrukkings, korrek tot
      twee desimale plekke.

      2.1.1      𝑠𝑖𝑛 𝐴 − 𝑠𝑖𝑛 𝐵                                                                (2)
                 3
      2.1.2       √𝑠𝑒𝑐 𝐴                                                                      (2)

                                                                                                    b.o.

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                                                  WISKUNDE                                     4
                                                  (VRAESTEL 2)                   GRAAD 10

2.2   In die diagram hieronder lê punt P(–2; -1) in die derde kwadrant. OP = 𝑟 cm. Die asse
      sny by O, wat die oorsprong op die skets voorstel.

                                                    y

                                              θ
                                                                   x

                                         r

                                 P(–2 ; –1)

      Gebruik die skets en sonder om 'n sakrekenaar te gebruik, bereken die:

      2.2.1   Lengte van OP.                                                                   (2)

      2.2.2   Waarde van √5 𝑐𝑜𝑠 𝜃 + 4 𝑐𝑜𝑠𝑒𝑐 2 𝜃                                                (4)

2.3   Evalueer sonder om 'n sakrekenaar te gebruik:

         sin 45°
      √2     2
      2 . tan 30°                                                                              (3)
                                                                                              [13]

                                                                                                   b.o.

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                                                        WISKUNDE                                       5
                                                        (VRAESTEL 2)                 GRAAD 10

VRAAG 3

Die skets hieronder toon die grafiek van 𝑓(𝑥) = 𝑐𝑜𝑠𝑥 en 𝑔(𝑥) = 2𝑠𝑖𝑛𝑥 vir die interval 𝑥∈[0° ; 360°].

          y
      2

      1                                                                                f

      O                                                                                            x
                               90°         180°                         270°               360°

      –1                                                                               g

      –2

3.1        Skryf die periode van 𝑔 neer.                                                               (1)

3.2        Vir watter waarde(s) van 𝑥 sal f (x) ≥ 0 ?                                                  (2)

3.3        Bepaal die waardeversameling van m as m(x) = −4 f(x) + 1.                                   (3)
                                                                                                       [6]

VRAAG 4

                            ̂ = 𝜃 en AB
In die diagram hieronder is A         ̂ D = 90°. BC = 𝑥 m, Ĉ = 𝛽 en BD
                                                                      ̂ C = 90°.
.
                         A

                                θ

                                                                             D
                           B

                                                          x
                                                                         β
                                                                             C
                               𝑥 sin 𝛽
4.1        Toon aan dat AB =                                                                           (4)
                                tan 𝜃

4.2        Vervolgens, of andersins, bereken die lengte van AB, korrek tot twee desimale plekke,
           as 𝜃 = 52°; 𝛽 = 40° en 𝑥 = 12 𝑚. Skryf jou antwoord tot die naaste telgetal.                (2)
                                                                                                       [6]

                                                                                                           b.o.

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                                                     WISKUNDE                               6
                                                     (VRAESTEL 2)               GRAAD 10

VRAAG 5

5.1   Voltooi die stelling:

      Die lynstuk wat die middelpunte van twee sye van 'n driehoek verbind, is … en …
      (Skryf slegs die ontbrekende woorde neer.)                                            (2)

5.2   ABCD is 'n ruit met die diagonale AC = 16 cm en DB = 30 cm.

                     B                                      A
                                  2
                              1

                                      F 2              O
                                            1

                                                C                           D

      5.2.1    Bereken die lengte van BC.                                                   (4)

      5.2.2    Bereken OF, as OF ewewydig is aan DC met F op BC.                            (3)

      5.2.3                            ̂ F as OF̂C = 64°.
               Bepaal die grootte van OB                                                    (3)

5.3   Bepaal die oppervlakte van die ruit ABCD.                                             (2)
                                                                                           [14]

                                                                                TOTAAL:     50

                                                    EINDE

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