# Mathematics Grade 11 P2 North West June 2017 Question Paper > Grade 11 Mathematics Paper 2 question paper from the North West June 2017, 15 pages. Read online or get the free PDF download, memo linked when available. - Page: https://www.hlayiso.com/library/grade-11-mathematics-2017-north-west-june-question-paper-paper-2/eefa2c6a-30dc-400f-9100-2fbe7f497c31 - Updated: 2026-10-29 - Subject: Mathematics - Grade: Grade 11 - Document type: Question paper - Year: 2017 - Exam period: North West June - Paper: 2 - Curriculum: CAPS - Pages: 15 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 North West June 2017 Question Paper](https://www.hlayiso.com/library/grade-11-mathematics-2017-north-west-june-question-paper-paper-2/eefa2c6a-30dc-400f-9100-2fbe7f497c31) ## About this document Mathematics · Grade 11 · North West June · 2017. Question paper, 15 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 EXAMINATION P2 JUNE 2017 MARKS: 100 TIME: 2 hours This question paper consists of 9 printed pages and 6 diagram sheets. ### Page 2 Mathematics / P2 NCS – Grade 11 NW/June 2017 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of 6 questions. 2. Answer ALL the questions. 3. Number the answers correctly according to the numbering system used in this question paper 4. Clearly show ALL calculations, diagrams, graphs, et cetera which you have used in determining your answers. 5. Answers only will not necessarily be awarded full marks. 6. You may use an approved scientific calculator (non-programmable and non-graphical), unless stated otherwise. 7. If necessary, answers should be rounded off to TWO decimal places, unless stated otherwise. 8. Diagrams are NOT necessarily drawn to scale. 9. Write neatly and legibly. 2 ### Page 3 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 1 In the diagram below A (0; 11), B(10;11) and C(16;3) are the vertices of ABC, with height CD . y A 0;11 B 10;11 D M C 16;3 x 0 1.1 Write down the length of the line AB. (1) 1.2 Show that is isosceles. (3) 1.3 Write down the coordinates of the point D. (2) 1.4 Calculate the area of ∆ ABC. (3) 1.5 Determine the coordinates of M, the midpoint of AC. (2) 1.6 Determine the gradient of AC. (2) 1.7 Show that BMCD is a cyclic quadrilateral. (5) [18] 3 ### Page 4 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 2 2.1 If 5cos A + 3 = 0 and 180° < A < 360° , without using a calculator and with the aid of a diagram, determine the value of 2.1.1 (4) 2.1.2 (2) 2.2 If WITHOUT using a calculator, determine the following in terms of 2.2.1 (2) 2.2.2 (3) 2.3 Prove that (4) [15] QUESTION 3 3.1 Simplify fully WITHOUT the use of a calculator: (6) 3.2 Determine the general solution of the equation: (6) [12] 4 ### Page 5 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 4 Sketched below are the graphs of and 4.1 Determine the values of and (4) 4.2 Write down the period of f. (1) 4.3 If write down the amplitude of h. (1) 4.4 Calculate the values of x for which for (Show all your calculations) (5) 4.5 Determine the value(s) of x for which g will decrease while f increases for . (2) [13] 5 ### Page 6 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 5 5.1 In the diagram below the circle with centre O passes through L, N and P. KLM is a tangent to the circle at L. NP, NL and LP are joined. N O P  x K L M Using the above diagram, prove the theorem that states that . (5) 6 ### Page 7 Mathematics / P2 NCS – Grade 11 NW/June 2017 5.2 In the diagram below, O is the centre of circle TRNM. RT produced meets tangent MP at P. OM intersect TN at K. K is the midpoint of TN. 5.2.1 Calculate, stating reasons, the size of: (a) (2) (b) (2) (c) (4) 5.2.2 Prove that TN // PM. (3) 5.2.3 Calculate the length of KM. (3) [19] 7 ### Page 8 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 6 6.1 Complete the following statements so that they are true: 6.1.1 If a chord of a circle subtends a right angle on the circumference, then (1) the chord is a … 6.1.2 Opposite interior angles of a cyclic quadrilateral are … (1) 6.2 In the diagram below, two circles have a common tangent TAB.PT is a tangent to the smaller circle.PAQ, QRT and NAR are straight lines. Let Q ^ = 40 ° . 6.2.1 Determine, with reasons, THREE other angles equal to 40°. (5) 6.2.2 P1 = ^ If ^ A 4 prove that PTRN is a parallelogram. (5) 6.3 Tangent BC touches the circle ABDE at B. Chords AD and BE intersect at F. ^ 1=x and Chord ED is produced to C. AB || EC. It is further given that B A 1= y . ^ 8 ### Page 9 Mathematics / P2 NCS – Grade 11 NW/June 2017 6.3.1 Determine the size of C ^ in terms of x and y. (6) 6.3.2 Becky says that BCDF is not a cyclic quadrilateral while Teboho insists that it is. Who is correct? Show all your working and reasons in determining your answer. (5) [23] TOTAL : 100 NAME: ………………………………………. CLASS: ……….. DIAGRAM SHEET 1 QUESTION 1 9 ### Page 10 Mathematics / P2 NCS – Grade 11 NW/June 2017 y A 0;11 B 10;11 D M C 16;3 x 0 NAME: ………………………………………. CLASS: ……….. DIAGRAM SHEET 2 10 ### Page 11 Mathematics / P2 NCS – Grade 11 NW/June 2017 QUESTION 4 NAME: ………………………………………. CLASS: ……….. 11 ### Page 12 Mathematics / P2 NCS – Grade 11 NW/June 2017 DIAGRAM SHEET 3 QUESTION 5.1 N O P x K L M NAME: ………………………………………. CLASS: ……….. 12 ### Page 13 Mathematics / P2 NCS – Grade 11 NW/June 2017 DIAGRAM SHEET 4 QUESTION 5.2 NAME: ………………………………………. CLASS: ……….. 13 ### Page 14 Mathematics / P2 NCS – Grade 11 NW/June 2017 DIAGRAM SHEET 5 QUESTION 6.2 NAME: ………………………………………. CLASS: ……….. 14 ### Page 15 Mathematics / P2 NCS – Grade 11 NW/June 2017 DIAGRAM SHEET 6 QUESTION 6.3 A 1 B 1 11 1 1 F C D E 15 ## 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 - [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 Paper 1](https://www.hlayiso.com/library/grade-11-mathematics-2017-north-west-june-memorandum-paper-1/6fa7396a-5760-4bd7-a7c4-0ec8f7fac2f2) — Mathematics · Memo · 2017 - [NSC GR11 MATHEMATICS P2 NOV2017 ENG AFR SPECIAL ANSWER BOOK](https://www.hlayiso.com/library/nsc-gr11-mathematics-p2-nov2017-eng-afr-special-answer-book/19d3f563-e350-4ddb-84f2-78b703bca8e1) — Mathematics · Addendum · 2017 · Eng - [Gr11 Math P2 (English and Afrikaans) November 2017 Answer Book](https://www.hlayiso.com/library/gr11-math-p2-english-and-afrikaans-november-2017-answer-book/b76d8c4b-9b1a-4580-a03a-7d0050e7ab92) — Mathematics · Addendum · 2017 · Afr - [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 ## More from Grade 11 Mathematics - [Grade 11 Mathematics P1 November 2026 Mock Memo](https://www.hlayiso.com/library/grade-11-mathematics-2026-november-mock-exam-memorandum-paper-1/470265ad-99e7-4e3e-af02-0c28a273b390) — Memo · 2026 · Eng - [MATHS P1 MEMO GR11 NOV 2025 E+A watermark](https://www.hlayiso.com/library/maths-p1-memo-gr11-nov-2025-e-a-watermark/5af2bd74-cc9d-4651-895a-310a59d8ce25) — Memo · 2025 - [MATHS P2 MEMO GR 11 NOVEMBER 2025 (ENG & AFR) watermark](https://www.hlayiso.com/library/maths-p2-memo-gr-11-november-2025-eng-afr-watermark/6bc83e22-926c-4a81-95ea-4dee0141ce24) — Memo · 2025 · Afr - [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 P2 GRADE 11 NOV 2024 ENG AFR MARKING GUIDELINE watermark](https://www.hlayiso.com/library/maths-p2-grade-11-nov-2024-eng-afr-marking-guideline-watermark/0f16be7d-4a28-41e1-9e8d-57c649490c1c) — Memo · 2024 · Eng ## 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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