# Mathematics Grade 11 Paper 2 Gauteng June 2017 Memo > Grade 11 Mathematics Paper 2 memorandum from the Gauteng June 2017, 10 pages. Read online or get the free PDF download, question paper linked when available. - Page: https://www.hlayiso.com/library/gr11-math-p2-june-2017-possible-answers/1b7113c4-1c6c-4a95-a99d-05b3d3d421bd - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 11 - Document type: Memorandum - Year: 2017 - Exam period: Gauteng June - Paper: 2 - Curriculum: CAPS - Pages: 10 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 Paper 2 Gauteng June 2017 Memo](https://www.hlayiso.com/library/gr11-math-p2-june-2017-possible-answers/1b7113c4-1c6c-4a95-a99d-05b3d3d421bd) ## About this document Mathematics · Grade 11 · Gauteng June · 2017. Memorandum, 10 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 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION JUNE 2017 GRADE 11 MATHEMATICS PAPER 2 MEMORANDUM 10 pages 1 ### Page 2 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS Paper 2 MEMORANDUM INSTRUCTIONS AND INFORMATION A – Accuracy CA – Consistent Accuracy S – Statement R – Reason SR – Statement / Reason NOTE: • If a candidate answered a question TWICE, mark only the first attempt. • If a candidate CROSSED OUT an answer and did not redo it, mark the crossed out answer. • Consistent accuracy applies to ALL aspects of the memorandum. Stop marking at the second calculation error. • Assuming values/answers in order to solve a problem is UNACCEPTABLE. 2 ### Page 3 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 QUESTION 1 MARKS: 25 1.1 MMR = ✓ sub. into the gradient (3) formula MMR = ✓ gradient of line MR equation of line MR is: ✓ equation of line MR 1.2 (4) y = 5x -14 ✓ mMS = 5 MS || PR  mPR = 5 ✓mPR = 5 equation of line PR: ✓sub. (2 ; 4) ✓answer 1.3 mPR = 5 (5) ✓ ✓ mMR = ✓ ✓ )..(sum of angles of ∆) ✓ 1.4 and (4) ✓equating ✓ ✓ ✓ R(4 ; 6) 3 ### Page 4 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 1.5 = (2) = ✓sub. into dist. formula = ✓answer = 1.6 = (5) = ✓ sub. into dist. formula ✓ OR = or Area of PMR ✓ OR = = OR (✓ rounding-off) answer ✓ = 28 1.7 S(2 ; 4) ✓x=2 (2) ✓ y = 4 QUESTION 2 MARKS: 26 2.1 ✓diagram correct in correct quad. (4) y ✓ 0 x ✓ 25 ✓answer  (-7: y) 2.2 (6) ✓ (-sinx) (-sinx) ✓ ✓ ✓ ✓ = ✓ answer 4 ### Page 5 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 2.3 ✓ (6) ✓ Ref. angle ✓ or ✓ ✓ 2θ = 180° + 77,2909° + k.360° ✓ 2.4 (5) ✓ ✓ ✓ ✓ ✓ 2.5 ✓ (5) ✓sin = ✓ = ✓ ✓answer 5 ### Page 6 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 QUESTION 3 MARKS:14 3.1 (6) ✓ y-intercepts of f ✓ y-intercepts of g ✓✓ both turning points of g ✓ both x-intercepts of f ✓ both turning points of f 3.2 2 ✓✓ answer (2) 3.3 2 cos x +1 = 1 – sin x ✓ tan x = -2 (6)  sin x = -2 cos x ✓ 63, 4349°  tan x = -2 ✓ x = 116, 57° +  Ref. angle = 63, 4349....° k.180° with k є Z  x = 180° - 63, 4349....° + k. 180° ✓ -63,43°  x = 116, 57° + k.180° with k є Z ✓ 116, 57°  x = -63,43° OR 116,57° OR 296,57° ✓ 296,57° 6 ### Page 7 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 QUESTION 4 MARKS: 13 O ✓ construction 1 2 (radii, OP and OR) P Q R 4.1 Construction: Join PO and OR In ∆POQ and ∆ ROQ 1) OQ = OQ..... common 2) PO = OR ......radii ✓SR ie (PO = OR ..... radii) 3) Q̂1  Q̂2  90 .. given ✓S ie (Q̂1  Q̂2  90) 90 HS ✓SR ✓ PQ =RQ (5) Â1  90 ..line from centre to midpt. of chord ✓SR 4.2.1 B̂  180  (Ô1  Â1 ) .... sum of angles of a Δ ✓ answer = 50° (2) 7 ### Page 8 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 Ĉ  90 ... angle in a semi-circle ✓SR 4.2.2 D̂  180  (Ĉ  B̂) ... sum of angles of Δ ✓ answer = 40° (2) ......Th. of Pyth. = = 50 ✓ BD = 50 BO = .....radii 4.2.3 = 25 ✓ BO = 25 OA = ...Midpt. Th. = 20 ✓ SR ie (OA = 20 .. Midpt.Th.) AE = OE – OA = 25 – 20 = 5 units ✓ AE = 5 (4) 8 ### Page 9 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 QUESTION 5 MARKS: 10 L̂  Ĵ1  x ... angles opp. = sides ✓SR 5.1 ✓S N̂1  L̂  x ...= chords subtend = angles ✓R (3) M̂  Ĵ 3  y ........... angles opp. = sides ✓SR ✓SR K̂1  M̂  y ........= chords subtend = angles Q̂2  K̂1  Ĵ1 ... ext. angle of Δ ✓SR 5.2 = x +y P̂2  N̂1  Ĵ 3 ... ext. angle of Δ ✓SR =x+y  Q̂2  P̂2  x  y (4) P̂4  P̂2 .... vert. opp. angles ✓ S R for P̂4  P̂2 OR 5.3 Q̂4  Q̂2 .... vert. opp. angles Q̂4  Q̂2 but Q̂2  P̂2 ........proved in Q5.2  P̂4  Q̂4 ✓ P̂4  Q̂4  JQ = JP...... sides opp = angles OR isos. ∆ ✓R (3) 9 ### Page 10 Downloaded from hlayiso.com Mathematics Paper 2 MEMORANDUM GRADE 11 QUESTION 6 MARKS: 12 K̂ 2  T̂1 ...... angles opp. = sides OR equal radii ✓SR T̂1  Ĉ ......... angles in same segment ✓ T̂  Ĉ 6.1 ✓R  K̂ 2  Ĉ (3) T̂2  Â ...... angles opp. = sides OR equal radii ✓SR ✓SR P2  T̂2  Â ... ext. angle of 6.2 = 2 T̂2 ✓ K̂1  P̂2 K̂1  P̂2 ........... angles in same segment ✓R K̂1  2T̂2 (4) P̂4  2T̂ ........ angle at centre = twice angle at ✓ P̂4  2T̂ circumference ✓R T̂  T̂1  T̂2 T̂1  Ĉ ....... angles in same segment ✓SR 6.3 1 1 T̂2  K̂1 ..... proved in Q6.2 ✓ T̂2  K̂1 2 2 1 1 P̂4  2(Ĉ  K̂1 ) ✓ P̂4  2(Ĉ  K̂1 ) 2 2 = 2Ĉ  K̂1 ) (5) TOTAL: 100 10 ## Related documents - [Gr11 Math P2 June 2017 Question Paper](https://www.hlayiso.com/library/gr11-math-p2-june-2017-question-paper/64687c17-ca24-4dad-9367-5ed08ba6ca70) — Mathematics · QP · 2017 - [Gr11 Math P1 June 2017 Possible Answers](https://www.hlayiso.com/library/gr11-math-p1-june-2017-possible-answers/19ca7dfb-d358-4c42-bbfc-c68d580cfe21) — Mathematics · Memo · 2017 - [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 - [Gr11 MATH P2 (ENG) June 2022 Possible Answers](https://www.hlayiso.com/library/gr11-math-p2-eng-june-2022-possible-answers/1a429955-227a-4c34-aec9-9e119d0c4bc5) — Mathematics · Memo · 2022 · Eng - [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 June 2017 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-june-2017-question-paper/e60fc81c-acfd-40ef-a5a6-6dc61344c91b) — Mathematics · QP · 2017 ## 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 - [MATHS P1 QP GR11 NOV2024 ENG D watermark](https://www.hlayiso.com/library/maths-p1-qp-gr11-nov2024-eng-d-watermark/739068f1-b085-4977-8a45-18f9bb927644) — QP · 2024 · Eng - [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 ## 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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