# Mathematics Grade 11 Paper 2 Gauteng June 2016 Memo > Grade 11 Mathematics Paper 2 memorandum from the Gauteng June 2016, 11 pages. Read online or get the free PDF download, question paper linked when available. - Page: https://www.hlayiso.com/library/gr11-math-p2-june-2016-possible-answer/ea9a4b22-b682-466f-b8bc-e9e3671f4b57 - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 11 - Document type: Memorandum - Year: 2016 - Exam period: Gauteng June - Paper: 2 - Curriculum: CAPS - Pages: 11 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 2016 Memo](https://www.hlayiso.com/library/gr11-math-p2-june-2016-possible-answer/ea9a4b22-b682-466f-b8bc-e9e3671f4b57) ## About this document Mathematics · Grade 11 · Gauteng June · 2016. Memorandum, 11 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 2016 GRADE 11 MATHEMATICS Second Paper MEMORANDUM 11 pages 1 ### Page 2 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 GAUTENG DEPARTMENT OF EDUCATION PROVINCIAL EXAMINATION MATHEMATICS (Second Paper) INFORMATION: A – Accuracy C.A. – Continued Accuracy S – Statement R – Reason S and R – Statement and Reason 2 ### Page 3 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 QUESTION 1 MARKS : 16 1.1 KT =  Distance formula =  subst. in corr. formula  answer = [2/3 if answer not in surd form] (3) 1.2  answer =  subst. (-5 ; 1) into str. line eq.  answer (C.A) OR OR  answer =  subst. (7 ;-2) into str. line eq.  answer (C.A) (3) 1.3 =  answer (A)  eq. of Line KT. (A) OR y-int A (0 ; ) of line KT. B (0 ; - ) 1 1 AB = 5  6 4  add of y co-ord. of A and B 5 65  answer (A) =5 OR 5,42 OR (4) 12 12 3 ### Page 4 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 1.4 β = 39,81° β = 39,81°  = α= ........ext. of ∆ =   answer ANY other valid solution (PENALISE once for rounding off , either α or β) (6) QUESTION 2 MARKS : 14 2.1 Let M (x ; y) ...... radii   corr. Subst. in dist. formula  simplification (C.A)  answer (4) Answer only 0 2.2 A( subst. in midpt. formula y=0  co-ord. of A A(0 ; 4) [2/3 if not in co-ordinate form] (3) 2.3  Eq. of line OK:  corr. subst. in str. line formula answer (C.A) (3) 4 ### Page 5 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 2.4 Let T (x ; y) ......⟘ lines  ...................(1)  Eq. of line OK ....................(2)  equating (1) and (2) =  answer (C.A) (4) Any other valid method QUESTION 3 MARKS 28 3.1 13sinα = -5 sinα = -  sinα = - y α x  cartesian plane with terminal arm in 3rd quad. = –12  x = –12 3cosα = 3(  subst. cosα = =  answer (5) 5 ### Page 6 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 3.2.1  -sin θ ;  -tan θ ;  cos θ ;  = – tan = – = =  or (6) 3.2.2  -sin 50 =  – sin 30 ; =  cos 40 ;  – cos 40 or cos 40 = sin 50 = -1  – cos 60  answer (6) 3.3  factorization (4 θ – 8) sin 30° = (θ – 2) (2) sin 30° =  factorization of denominator =  answer = 6 ### Page 7 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 60o 2 1 30o 3 tan 240° = tan (180° + 60°) = tan 60°  tan 60 = 3  answer Full marks if tan 60° = 3 or Show sketch to determine sol. Answer only max 1 mark(surd form) (5) 3.4.1 1 L.H.S: (sinα tan α  cos α) tan x cos  sin α + cos tan  = sin α + tan  cos  sin = sin α +  subst. tan α = sin  cos cos  cos 2   cos 2  sin  = sin α + sin  sin 2   cos 2  sin 2   cos 2 sin  = sin  (4) 1 = =R.H.S sin Any other valid method 3.4.2 α = {0°; 90°; 180; 270° ; 360°}  0 ; 180°; 360°  90°; 270° (2) 7 ### Page 8 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 QUESTION 4 MARKS 12 4.1 180  answer (1) 4.2  -1 ;1  corr. brackets OR OR R  -1 ;1  corr. inequalities (2) 4.3 θ = 40  a =2 2 (2) 4.4 g(180 ) = – 0,77  answer (C.A) (1) 4.5.1  -180 ; -103,3 -180 OR  corr. inequality OR [-180 ; - 103,3°) corr. bracket OR (16,7 ; 130 ) or (136,7 ; 180 ] (2) 4.5.2 [–130° ;- 90°] OR  [-130° ; -90°] –130° ≤ x ≤ –90° corr brackets OR corr. inequalities [0 ;50 ] or [90 ;180] (2) 4.6 =  = OR  answer = (2) 8 ### Page 9 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 QUESTION 5 MARKS 8 5.1 is perpendicular to the chord  answer (1) 5.2.1 AD = ... th. of pyth.  Subst. = = 28,84 cm  answer (2) 5.2.2 OD = x + 16  answer (1) 5.2.3 ......... th. of pyth OC = OD .....radii =   x = 10  simplification  answer (4) QUESTION 6 MARKS 8 6.1 PT = KT ...... line from centre ⟘ to ch. S R (2) 6.2 ....... th. of pyth. S but ..... th. of pyth.  but OK = OC ..... radii  subst. OK = OC = \  subst.OP = OC – PC  = PC  OC  OC  2OC.PC  PC2 2 2 2   simplification = 2(OC.PC) = 2(x + y)(y) =  subst. for OC and PC (6) 9 ### Page 10 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 QUESTION 7 MARKS 14 7.1 .......... ⎿ at centre = 2 ⎿ on circum.  Reason = = 55  answer (2) 7.2 S ....... ⎿s opp = sides, radii R =  answer = 35 Answer with reason full marks (3) 7.3      R2  R3  R2  R3 ⎿s opp = sides  R 2  35  20  answer = 15  S and R ........ ⎿s in same seg = 15  answer = 45 (3) 7.4 ......... vert opp. ⎿s = 90  S and R  answer ........ ⎿s of a ∆ =  S and R = OR  answer OR ........ ⎿s of a ∆  S and R = = 45  answer ......... ⎿s in the same seg. = 45  S and R  answer (4) 10 ### Page 11 Downloaded from hlayiso.com MEMORANDUM Mathematics P2 7.5  R TR ⫽ PQ ....... alt. ⎿s = OR OR    TRP  45  TRP  P   R TRP  P  45 TR ⫽ PQ ....... alt. ⎿s = (2) 11 ## Related documents - [Gr11 Math P2 June 2016 Question Paper](https://www.hlayiso.com/library/gr11-math-p2-june-2016-question-paper/aa2249f8-80f3-42ba-b4b6-0ebec49b6fc6) — Mathematics · QP · 2016 - [Gr11 Math P1 June 2016 Possible Answer](https://www.hlayiso.com/library/gr11-math-p1-june-2016-possible-answer/8abf9959-f0c5-4918-94fd-aa3ebabec0f5) — Mathematics · Memo · 2016 - [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 2016 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-june-2016-question-paper/c0be92f8-5b2d-42a2-beef-6c5ca8029155) — Mathematics · QP · 2016 - [Gr11 Math P1 (Afrikaans) June 2016 Question Paper](https://www.hlayiso.com/library/gr11-math-p1-afrikaans-june-2016-question-paper/7ea1ce61-afcd-483b-a4fa-ea2b49b96e56) — Mathematics · QP · 2016 · 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 - [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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