# Mathematics Grade 11 Paper 1 North West June 2017 Memo > Grade 11 Mathematics Paper 1 memorandum from the North West June 2017, 9 pages. Read online or get the free PDF download, question paper linked when available. - Page: https://www.hlayiso.com/library/grade-11-mathematics-2017-north-west-june-memorandum-paper-1/6fa7396a-5760-4bd7-a7c4-0ec8f7fac2f2 - Updated: 2026-10-29 - Subject: Mathematics - Grade: Grade 11 - Document type: Memorandum - Year: 2017 - Exam period: North West June - Paper: 1 - 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 Paper 1 North West June 2017 Memo](https://www.hlayiso.com/library/grade-11-mathematics-2017-north-west-june-memorandum-paper-1/6fa7396a-5760-4bd7-a7c4-0ec8f7fac2f2) ## About this document Mathematics · Grade 11 · North West June · 2017. 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 GRADE 11 MATHEMATICS P1 MEMORANDUM JUNE 2017 MARKS: 100 This memorandum consists of 9 pages.. Copyright reserved Please turn over ### Page 2 Mathetics/P1 2 June/2017 NSC QUESTION 1 1.1.1 2x2 – 7x = 0 factors x(2x – 7) = 0 x = 0 x = 0 or x = x = (3) 1.1.2. 2x (x – 3) = 1 2x2 – 6x – 1 = 0 2x2 – 6x – 1 = 0  formula sub. into correct formula answer (4) x = 3,16 or x = – 0,16 1.1.3   squaring Square both sides, 1+ x = x2 – 10x + 25 standard form x2 – 11 x + 24 = 0 factors (x – 8 )( x – 3 ) = 0 answer x = 8 or x = 3 N/A (5) 1.1.4  x2 + 3x = k Let x2 + 3x = k std form in k factors k2 – 26k – 56 = 0 vales of k Copyright reserved Please turn over ### Page 3 Mathetics/P1 3 June/2017 NSC ( k – 28 )(k + 2 ) = 0  2 eqs. in x k = 28 or k = – 2  4 values of x (7) x2 + 3x = 28 or x2 + 3x = – 2 x2 + 3x– 28 = 0 or x2 + 3x + 2 = 0 (x +7) (x – 3) = 0 or (x + 2)(x + 1) = 0 x = –7 or x =3 or x = – 2 or x = – 1 ( x – 3)( 2 – x) > 0 1.1.5 ( x + 3)( 2 – x) > 0 end values ( x + 3)( x – 2) < 0 - notation (3) -3 2 – 3 < x < 2 1.1.6  factors   x = 16 (4) N/A x = 16 1.2 x2 – 2xy – 3y2 and 3x + y – 2 = 0  y = 2 – 3x y = 2 – 3x x2 – 2x(2 – 3x) – 3(2 – 3x )2 = 0 sub. of y x2 – 4x + 6x2 – 3(4 – 12x + 9x2 ) = 0 x2 – 4x + 6x2 – 12+ 36x – 27x2 ) = 0 –20 x2 + 32x –12 = 0 std form 5 x2 – 8x + 3 = 0 Copyright reserved Please turn over ### Page 4 Mathetics/P1 4 June/2017 NSC (5x – 3) (x – 1) = 0 factors or x = 1   x = 1 or y = 2 – 3 (1) y values (7) y = y = –1 1.3.1  sub of k in When k = 5, = 0 Roots are real and equal equal and real (2) 1.3.2 For non-real roots,  25 – 5k < 0 k>5 k>5 (2) QUESTION 2 Copyright reserved Please turn over ### Page 5 Mathetics/P1 5 June/2017 NSC 2.1.1 = taking common factor outside = ans (2) = 3 2.1.2 =  = 6x – 2x = 4x ans (2) 2.1.3 Convert base into prime = numbers removing the bracket = apply the law = = answer (4) = Copyright reserved Please turn over ### Page 6 Mathetics/P1 6 June/2017 NSC 2.2.1  taking common factor outside answer (3) 2.2.2   x = –1 answer (3) QUESTION 3 3.1 2 6 12 20 4 6 8 2 2 T5 = 30  T5 = 30 T6 = 42 T6 = 42 (2) 3.2 2a = 2 ; 3a + b = 4; a+b+c = 2 3a + b = 4; a= 1 3(1) + b = 4 1 +1 + c = 2 a+b+c = 2 b =1 c =0 value of a Value of b Tn = n2 + n value of c (5) QUESTION 4 4.1.1 i m ( i eff = 1 + m ) -1  formula correct sub. into formula = = 0.087747961... answer (3) Copyright reserved Please turn over ### Page 7 Mathetics/P1 7 June/2017 NSC Rate = 8,77% 4.1.2 formula sub. into the formula = R 18273,54 answer (3) 4.2 formula = 150000(1- 0,124)5 sub. into the formula = R77376,98 answer (3) 4.3 i  equation  x(3,52612449) = 20000 x(3,52612449) = 20000 answer (4) x = R5671,95 QUESTION 5 5.1 x = -2 or x = 6  OA = 2 OA = 2 and OB = 6  OB = 6 (2) 5.2 = -24  x =0 y = -24 (2) C(0; -24) 5.3 Axis of symmetry is x = 1 x=1 = -30  TP(1 ; -30) TP(1 ; -30) Copyright reserved Please turn over ### Page 8 Mathetics/P1 8 June/2017 NSC Range is y ans (3) 5.4 Notation end values (2) 5.5 c = - 24 c = -24 Passing through (6 ;0) sub. of (6;0) m= 4  m= 4 (3) 5.6 T.P of h(x) is ( 1 ; 30)  x value y value (2) QUESTION 6 6.1.1 Asymptotes are x = 3 and y = - 2 x = 3 y = -2 6.1.2 making y = 0 x –intercepts: 2(x -3) = 2  x =4 2x = 8 x = 4  making x = 0 y-intercepts y = (4) = 6.1.3 x-int y-int  shape Copyright reserved Please turn over ### Page 9 Mathetics/P1 9 June/2017 NSC 6.1.4 Domain is answer (1) 6.1.5 y = (x – 3) – 2  m= 1 = x – 5 c = -5 (2) 6.2 q = –1 value of q Passing through (0; -2) Sub. of (0;-2) a = -1  value of a sub. of -3 = b-1 b = value of b (5) Copyright reserved Please turn over ## Related documents - [Final Marking Guideline Grade 11 Mathematics P1 2017 Common Examination](https://www.hlayiso.com/library/final-marking-guideline-grade-11-mathematics-p1-2017-common-examination/67badd2d-178b-4a32-8ead-5f13604b50a3) — Mathematics · Memo · 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 - [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 - [Tolerance Range Grade 10 Mathematics P1 2017 Common Examination](https://www.hlayiso.com/library/tolerance-range-grade-10-mathematics-p1-2017-common-examination/6e5ac99a-bf45-4c6d-a856-196d8ed2b145) — Mathematics · QP · 2017 - [NSC GR11 MATHEMATICS P1 NOV2017 FINALS ENGLISH](https://www.hlayiso.com/library/nsc-gr11-mathematics-p1-nov2017-finals-english/5217c2ac-77ab-4fc6-9a09-92c2a6507c69) — Mathematics · QP · 2017 · Eng ## 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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