# Mathematics Grade 11 Paper 2 North West June 2018 Memo > Grade 11 Mathematics Paper 2 memorandum from the North West June 2018, 10 pages. Read online or get the free PDF download, question paper linked when available. - Page: https://www.hlayiso.com/library/mathematics-gr-11-memo-eng-afr-p2-v2/d83957f1-ef33-43d2-87b1-a1d8cd69f64d - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 11 - Document type: Memorandum - Year: 2018 - Exam period: North West 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 North West June 2018 Memo](https://www.hlayiso.com/library/mathematics-gr-11-memo-eng-afr-p2-v2/d83957f1-ef33-43d2-87b1-a1d8cd69f64d) ## About this document Mathematics · Grade 11 · North West June · 2018. 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 NATIONAL SENIOR CERTIFICATE GRADE/GRAAD 11 MATHEMATICS P2 (MEMO)/ WISKUNDE V2 (MEMO) MID YEAR EXAMINATION/ HALF-JAAR EKSAMEN 2018 MARKS/PUNTE: 100 JUNE EXAMINATION 2012 This markingguidelines consists of 10 pages./Die merkriglyne bestaan uit 10 bladsye. Demo NW/JUNE/MATH/ EMIS/6******* ### Page 2 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 QUESTION/VRAAG 1 1.1.1 (2) mAB  mBC 0 1 p  0  2 1 5  2 1 p  1 p  3 3  3 3 p 1  answer/antw 1.1.2 mAB  mBC  1 (3)  setting an equation/vergelyking 1  0 p  0   1 1  2 5  2  simplification/vereendiging 1 p   1 3 3 p  answer/antw  1 9 p  9 1.1.3  x2  x1    y2  y1   d 2 (3) 2 2  substitution/substitusie  5  2    p  0   52 2 2  simplification/vereenvoudig 9  p 2  25 p   25  9  both answers/beide antw  4 1.2 S  x; y y P  4;5 M  2; 2  Q  4;1 x O R  1;  4  Demo NW/JUNE/MATH/ EMIS/6******* 2 ### Page 3 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 1.2.1 5 1 (2) mPQ   substitution/substitusie 4  4 1   answer/antw 2 1.2.2 4  2 (3) mRM  1  2  2 2 1 1 mPQ  mRM    2  2 2  2  1  1  PM  RS 1.2.3  x1  x2 y1  y2  (3)  ;   2 2   1  x 4  y   ;   2 2  1  x 4  y 2 2  setting equations/verg 2 2 1  x  4 4 y  4  x5 x5 y 8  y 8 1.2.4 (3)  Substitution/substitusie  1  4    4  1 2 2 RQ   50 5 2  RQ  50 or 5 2  5  4   8  1 2 2 SQ   50  SQ  50 or 5 2 5 2 QRS is isosceles 1.2.5 (5)  4  4    5  1 2 2 PM  4 5  PM  4 5  5  1  8  4  2 2 RS  6 5  RS  6 5 1 Area PRS   base  height  Formula/form 2 1  Substitution/substitusie  6 54 5 2  Answer/antw  60 unit 2 [24] Demo NW/JUNE/MATH/ EMIS/6******* 3 ### Page 4 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 QUESTION/VRAAG 2 (3) 17 sin   15  0 15 sin   17 17 15   correct sketch/korrekte sket x2  y 2  r 2 x 2  152  17 2 x   17 2  152  8 Ans : x  8  8 15 tan    8  Answer/antw 2.1.2 (2) cos   180    cos    cos   8      17  8  Answer/antw  17 2.2.1 (2) tan 70  p tan110  tan 180  70    tan 70   tan 70  Answer/antw  p Demo NW/JUNE/MATH/ EMIS/6******* 4 ### Page 5 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 2.2.2 (3) r x y 2 2 2 r 2  p 2  12 r  1  p2 1  p2  sin 290  sin  360  70    sin 70   sin 70 p  Answer/antw  1  p2 2.3 (6) sin150.tan 225 sin  30  .sin 420 sin 180  30  .tan 180  45  sin30    sin 30.sin  360  60   tan 45  sin 30   sin 30  tan 45   sin 60    sin 30  sin 60  1   1  correct    2 substitution/korrek  1  3  te subs      2  2  2  3  answer/antw [16] QUESTION /VRAAG3 3. (8 1 cos 390 )  cos30  tan  360  x  .cos 180  x  .cos  x  90   tan x cos(30)    cos x cos 30     tan x   cos x  sin x   sin x cos 30 cos30   sin x     cos x  sin x   1   sin x   cos x   cos x  1  sin 2 x  Simplification/vereenv..  Answer/antw  cos 2 x Demo NW/JUNE/MATH/ EMIS/6******* 5 ### Page 6 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 3.2 (6) 2 cos x.tan x LHS   cos x 1 1 cos x  sin 2 x  cos x   sin 2 x  cos 2 x  2   cos x  cos x 1  cos x cos x 1  cos x  sin x  cos x 2  cos x    cos x  cos x  1  cos x sin 2 x  Simplification/vereenv..   cos x 1  cos x 1  cos 2 x  1  cos x 2   cos x 1  cos x  1  cos x 1  cos x   cos x  Factoring/fakt.. 1  cos x  1  cos x  cos x  Simplification/vereenv... 1  LHS=RHS 3.3 (6) 4 6 cos x  5  cos x  std form/std vorm 6 cos x  5cos x  4  0 2  factors/faktore  3cos x  4  2 cos x  1  0 4 1  values of cos x /waarde van cos x  or cos x   3 2 1  selection of answer/antw cos x   2  answer/antw x  120  360.k ; k  OR  k Z x  120  360.k or 240  360.k [20] Demo NW/JUNE/MATH/ EMIS/6******* 6 ### Page 7 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 QUESTION/VRAAG 4 Statement (S) Reason (R) 4.2.1 (2) ˆ  DEC BCA ˆ  26 equal chords; equal s  S  R 4.2.2 (2) Â1  53  at centre  2   at  S circumference  R 4.2.3 ˆ  180 D̂  A opp s quad supp (6)  S 1  R D̂  180  53  127  127 Ĉ4  26  127  180 sum of s in   S/ R Ĉ4  27 2Cˆ  180  106 3 s opp equal sides  S/ R Ĉ3  37 OCDˆ  37  27  Answer/antw construction  64 [10] Demo NW/JUNE/MATH/ EMIS/6******* 7 ### Page 8 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 QUESTION/VRAAG 5 5.1 (1)  Answer/antw 90 or right  5.2 Complete the proof: ˆ  PBM Required to proof : MPT ˆ Construction: Draw diameter PA and join AM Statement (S) Reason (R) 5.2 (5) ˆ  90 PMA  in semi-circle  S/ R ˆ  Pˆ  180  90  90 s in   S/ R A 1  S/ R ˆ  ˆP  90 MPT tangent  diameter/ radius  S 1 ˆ A  MPT ˆ  S/ R ˆ ˆ PBM  A s in same segment ˆ  PBM  MPT ˆ Demo NW/JUNE/MATH/ EMIS/6******* 8 ### Page 9 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 OR Statement (S) Reason (R) 5.2 ˆ  90 APT chord  tan (5)  S/ R MPT  90  Pˆ1 ˆ PMA  90  S diameter subtends right  ˆ A  90  ˆP1  S/ R ˆ PBM  A ˆ s in same segment  S ˆ  PBM  MPT ˆ  S/ R 5.3 M A 1 2 x 1 B 1 2 4 C 2 3 1 S4 2 3 Q 2 3 1 1 2 R P Statement (S) Reason (R) 5.3.1 (8)  S R ˆ x B̂1  A tan chord theorem 2  SR ˆ ˆ A B x s opp equal sides 1 1 Qˆ B ˆ x corresp s; BC // PQ  S R 1 B̂  ˆ 2 A x 1 tan chord theorem  S R Pˆ2  B ˆ x alt s; BC // PQ  S R 2 Demo NW/JUNE/MATH/ EMIS/6******* 9 ### Page 10 Downloaded from hlayiso.com Mathematics/ P2/WISKUNDE/V2Half-jaar EksamenMid-Year Examination NW/ Jun 2018 NSC- Grade 11 5.3.2 ˆ P̂2  A (2) 1 both  x  S/ R  ABRP is a cyclic quad BR subtends equal s  conclusion/konk.. 5.3.3 (3) AP = BP sides opp equal s  S/ R BQ = BP sides opp equal s S/ R AP = BQ both = BP  S/ R [19] QUESTION/VRAAG 6 Statement (S) Reason (R) 6.1 K̂1  90 diameter subtends right  (5) S R Uˆ K ˆ  90 s in the same seg. 1 1 or Û1  90  S/ R diameter subtends right  S/ R ˆ  180  90  90 NUP PUS is straight  R  PUNK is a cyclic quad ext   int opp  opp s supp 6.2 Sˆ 1  Pˆ1 alt s; OS // PN (6) S R Kˆ  Pˆ s in the same seg. 2 1 K̂ 2  ˆS1 converse tan chord theorem S R S R  SO is a tangent [11] TOTAL: [100] Demo NW/JUNE/MATH/ EMIS/6******* 10 ## Related documents - [Mathematics-GR-11-Paper-2 -1](https://www.hlayiso.com/library/mathematics-gr-11-paper-2-1/49e496f7-3959-4248-aafc-0a7605d6f37c) — Mathematics · QP · 2018 - [Mathematics-GR-11-MEMO-ENG AFR- P1 V1](https://www.hlayiso.com/library/mathematics-gr-11-memo-eng-afr-p1-v1/b70b16b3-6725-45d1-b763-0f44c942ad0f) — Mathematics · Memo · 2018 · Eng - [Mathematics P2 Grade 11 Nov 2018 Memo Eng & Afr](https://www.hlayiso.com/library/mathematics-p2-grade-11-nov-2018-memo-eng-afr/4d7f6a06-1eeb-42fb-b327-4043ad501b2f) — Mathematics · Memo · 2018 · 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 - [Mathematics-GR-11-Paper-1 -1](https://www.hlayiso.com/library/mathematics-gr-11-paper-1-1/a250963c-b224-43d5-8ad8-51f56f8452bf) — Mathematics · QP · 2018 - [Mathematics P2 Grade 11 Nov 2018 Afr](https://www.hlayiso.com/library/mathematics-p2-grade-11-nov-2018-afr/bb207070-4dc5-4b60-9a97-4fefc92f7441) — Mathematics · QP · 2018 · 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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