# Mathematics Grade 11 P2 Gauteng June 2018 Memo (Afrikaans) > Grade 11 Mathematics Paper 2 memorandum from the Gauteng June 2018 (Afrikaans), 9 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/gr11-math-p2-afrikaans-june-2018-possible-answers/01135fce-dccc-4b5d-ad21-e3d5045563e4 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 11 - Language: Afrikaans - Document type: Memorandum - Year: 2018 - Exam period: Gauteng June - Paper: 2 - Curriculum: CAPS - Pages: 9 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 11](https://www.hlayiso.com/library/grade-11) › [Mathematics](https://www.hlayiso.com/library/grade-11/mathematics) › [Mathematics Grade 11 P2 Gauteng June 2018 Memo (Afrikaans)](https://www.hlayiso.com/library/gr11-math-p2-afrikaans-june-2018-possible-answers/01135fce-dccc-4b5d-ad21-e3d5045563e4) ## About this document Mathematics · Grade 11 · Gauteng June · 2018 · Afrikaans. Memorandum, 9 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 Downloaded from hlayiso.com GAUTENGSE DEPARTMENT VAN ONDERWYS PROVINSIALE EKSAMEN JUNIE 2018 GRAAD 11 WISKUNDE VRAESTEL 2 MEMORANDUM 9 bladsye 1 ### Page 2 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 GAUTENGSE DEPARTEMENT VAN ONDERWY PROVINSIALE EKSAMEN WISKUNDE Vraestel 2 MEMORANDUM INSTRUKSIES EN INLIGTING: A – Akkuraatheid C.A. – Deurlopernde Akkuraatheid S – Stelling R – Rede SR – Stelling en Rede NOTA:  Indien ʼn kandidaat ʼn vraag TWEE MAAL beantwoord het, merk slegs die eerste poging.  Indien ʼn kandidaat ʼn antwoord DOODGETREK het, maar dit nie oorgedoen het nie, merk die doodgetrekte antwoord.  Volgehoue akkuraatheid word in ALLE aspekte van die memorandum toegepas.  Om antwoorde / waardes om ʼn probleem op te los, te veronderstel, word NIE toegelaat NIE. 2 ### Page 3 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 VRAAG 1 [25] 1.1  vervang in korrekte formule = =-4  antwoord (2) 1.2  vervang in korrekte formule F( F( 3; -2)  antwoord (2) 1.3 =  =  korrek vervang in reguitlyn verg.  antwoord (3) 1.4   Verw. = 75,9  Verw. = 75,9 =  = ̂ ........buite van ∆ =  antwoord (5) 3 ### Page 4 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 1.5    antwoord (4) 1.6 T(1 ; – 7) x=1 y = – 7 (2) 1.7 Midpt. van BT (  korrekte vervanging (3 ; -2) Ook die midpt. van AC gevolgtrekking (2) 1.8  korrekte vervanging AB √  AB = √ = √ BC √  BC = √ = √  omtrek van ABCT = 29,14 Omtrek van ABCT = 2( √ √ = 29,14 Omtrek van LMNO = 2 29,14 antwoord = 58,28 (5) 4 ### Page 5 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 VRAAG 2 [26] 2.1.1 k= √ ..... Teorie van Pyth. enige relevante weergawe van k=–4 Pythagoras antwoord (2) 2.1.2  antwoord (1) 2.1.3  = =  antwoord (2) 2.1.4  Verw. = 36,87 Verw. = 36,87 143,13 (2) 2.2 √ ...Teorie van Pyth.  √ B( √ ; 3)  B( √ ; 3)  korrekte vervanging.  antwoord (4) √ √ = ( ) ( ) =0 5 ### Page 6 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 2.3     √ √ –  antwoord (5) 2.4 LK =  = =  =  = = tan x = RK  (4) 2.5  Z  Z   { }  alle waardes korrek OF  3 of 4 waardes korrek (6) 6 ### Page 7 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 VRAAG 3 [14] 3.1 vorm van f 𝑦 korrekte draaipunte van f  korr. x en y afsnitte van f vorm van g korrekte draaipunte van g 𝑥 korr. x en y afsnitte van g 180 (6) 3.2.1 –1 [ ] 1 (2) 3.2.2 360 antwoord (1) 3.2.3 3 antwoord (1) 3.3 45  korr.hakies / ongelykhede (2) 3.4  +1 (2) 7 ### Page 8 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 VRAAG 4 [12] 4.1.1 Loodreg  antwoord (1) 4.1.2 Twee maal  antwoord (1) 4.2.1 B ̂ A = 90° (∠ in ʼn semi-sirkel)  S  R (2) (a) AC = √ (Pythagoras Teorie)  middellyn =10 AC = √ AC = 6  AC = 6 AM = 3  AM = 3 (lyn vananf middel van sirkel  tot koord die koord halveer OF middelpunt stelling)  Stelling (lyn vananf middel van sirkel  tot koord die koord halveer OF middelpunt stelling) (4) (b) OM = √ (Phyth. OF Midpt.St.) OM = 4  OM = 4 Oppvl  AOM : Oppvl  ABC  vervang oppvl van  AOM . 4. 3 : . 8. 6 en  ABC 6 : 24  oppvl  AOM = 6 en oppvl 1:4  ABC = 24  beide korrekte vereenvoudigde antwe. (4) 8 ### Page 9 Downloaded from hlayiso.com MEMORANDUM WISKUNDE Vraestel 2 Graad 11 VRAAG 5 [4] 5.1 ̂ ̂ ̂ (hoeke in selfde segment)  R Maar ̂ ̂  R ̂ ̂ ̂ hoeke teenoor = sye) (2) 5.2 ̂ ̂ ̂ (hoeke in selfde segment)  R ̂ ̂ ̂ ̂  ̂ ̂ ̂ ̂ gelykbenig (2) VRAAG 6 [19] 6.1 A ̂ C = 104° (Ko-binne ∠’e OC || AB )  A ̂ C = 104° Refleks AÔC = 2B = 208° (middpts∠ =2x ∠ op omtrek)  refleks AÔC = 208° Stomp ∠ A ̂ C = 152°  x = 28° (ko-binne ∠’e OC || AB)  stomp L AÔC = 152°  x = 28  rede (5) 6.2.1. ̂1=x (∠’ e teenoor = sye/ radii)  S( ̂ 1 = x)  R (∠’ e teenoor =sye) ̂ 1 = 180° - 2x (som van∠e in QRO)  S( ̂ 1 = 180° - 2x )  R(som van∠ s in QRO) ̂ 1 = 90° - x (mdpts ∠ = 2 x ∠ op omtrek.)  ̂ 1 = 90° - x  S  R(mdpts ∠ = 2 x ∠ op omtrek.) (7) 6.2.2. PQ = QR (gegee) Q ̂ P = 90° - x (∠ teenoor = sye in  )  S (PQ = QR) P ̂ R = 2x (∠ som in PQR )  S (Q ̂ P = 90° - x ) x + ̂ 2 = 2x   R (∠ teenoor = sye in  )  ̂2 = x  S (P ̂ R = 2x ) TQ halveer PQR  (∠ som van PQR)  x + ̂ 2 = 2x  ̂2 = x (7) TOTAAL : 100 9 ## Related documents - [Gr11 Math P2 (Afrikaans) June 2018 Question Paper Errata](https://www.hlayiso.com/library/gr11-math-p2-afrikaans-june-2018-question-paper-errata/f8b25236-b390-468d-a38e-7bca697a99b0) — Mathematics · Errata · 2018 · Afr - [Gr11 Math P2 June 2018 Possible Answers](https://www.hlayiso.com/library/gr11-math-p2-june-2018-possible-answers/c2aaf619-cabd-4c3b-9635-b0b14fdfcb00) — Mathematics · Memo · 2018 - [Gr11 Math P1 (Afrikaans) November 2017 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-november-2017-question-paper/b933e467-3a29-4cbf-8117-6b05a4fc5378) — Mathematics · QP · 2018 · Afr - [Gr11 Math P2 (English and Afrikaans) November 2018 Answer Book](https://www.hlayiso.com/library/gr11-math-p2-english-and-afrikaans-november-2018-answer-book/fbd125bb-cb12-4a9d-b0ad-c96a47b5e035) — Mathematics · Addendum · 2018 · Afr - [Gr11 Math P2 June 2018 Question Paper Errata](https://www.hlayiso.com/library/gr11-math-p2-june-2018-question-paper-errata/c33250f1-b917-4589-ae55-a60bdee9309d) — Mathematics · Errata · 2018 - [Gr11 Math P1 (Afrikaans) June 2017 Possible Answers](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-june-2017-possible-answers/b8504619-0cb6-476d-944d-f53d2ea22f72) — Mathematics · Memo · 2017 · Afr ## More from Grade 11 Mathematics - [FS Maths Grade 11 June 2025 P1 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p1-only/82015d8f-bcc0-478e-ad47-d3b295dabb01) — QP · 2025 - [FS Maths Grade 11 June 2025 P2 only](https://www.hlayiso.com/library/fs-maths-grade-11-june-2025-p2-only/5d0e7dd8-cb37-419c-8fe2-0aee27fbdc84) — QP · 2025 - [KZN Maths Grade 11 November 2025 P2 and Memo](https://www.hlayiso.com/library/kzn-maths-grade-11-november-2025-p2-and-memo/a2aac931-a969-41c8-bde2-85d23035d042) — QP + Memo · 2025 - [MATHS P2 ANSWER BOOK GR11 2024 ENG AFR D watermark](https://www.hlayiso.com/library/maths-p2-answer-book-gr11-2024-eng-afr-d-watermark/91fd4f6b-a252-4d30-b6b1-f8f546015336) — Addendum · 2024 · Afr - [Gr 11 Mathematics P1 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p1-afrikaans-june-2024-question-paper/1a0f4a9d-f18a-4aca-af77-5a81acfb8e0c) — QP · 2024 · Afr - [Gr 11 Mathematics P2 (Afrikaans) June 2024 Question Paper](https://www.hlayiso.com/library/gr-11-mathematics-p2-afrikaans-june-2024-question-paper/4934c5d3-e2a1-4d6b-acf6-d00e0623d46d) — QP · 2024 · Afr ## Collection - [Grade 11 past papers](https://www.hlayiso.com/grade-11/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. 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