# Mathematics Grade 12 Paper 2 KwaZulu Natal Mock 2020 Memo > Grade 12 Mathematics Paper 2 memorandum from the KwaZulu Natal Mock Exam 2020, 12 pages. Read online or download the free PDF. - Page: https://www.hlayiso.com/library/2020-grade-12-math-trial-exam-paper-2-kzn-memo/8e7b27c1-2d52-4240-892f-05fdb1c1265e - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 12 - Document type: Memorandum - Year: 2020 - Exam period: KwaZulu Natal Mock Exam - Paper: 2 - Curriculum: CAPS - Pages: 12 Breadcrumbs: [Home](https://www.hlayiso.com/) › [Library](https://www.hlayiso.com/library) › [Grade 12](https://www.hlayiso.com/library/grade-12) › [Mathematics](https://www.hlayiso.com/library/grade-12/mathematics) › [Mathematics Grade 12 Paper 2 KwaZulu Natal Mock 2020 Memo](https://www.hlayiso.com/library/2020-grade-12-math-trial-exam-paper-2-kzn-memo/8e7b27c1-2d52-4240-892f-05fdb1c1265e) ## About this document Mathematics · Grade 12 · KwaZulu Natal Mock Exam · 2020. Memorandum, 12 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 Mathematics P2 NSC Preparatory Examination September 2020 1 NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICS P2 PREPARATORY EXAMINATION SEPTEMBER 2020 MARKING GUIDLINES MARKS: 150 TIME: 3 hours This marking guideline consists of 12 pages. ### Page 2 Mathematics P2 NSC Preparatory Examination September 2020 2 QUESTION 1 NUMBER OF RED NUMBER OF MIDPOINT OF f. x CARDS COUNTRIES (f) INTERVAL (x) 0< x≤ 2 27 1 27 2< x≤ 4 15 3 45 4< x≤ 6 5 5 25 6< x≤ 8 5 7 35 8 < x ≤ 10 3 9 27 TOTAL 55 159 1.1 CA 159 Estimated mean = red cards CA  55 CA  Answer only full marks answer (3) 1.2 Full The red cards issued to countries during a marks for soccer competition 6 correct points 60 CUMULATIVE FREQUENCY 50 2 40 marks for 30 4correct points 20 10 1 mark 0 for 2 0 2 4 6 8 10 12 correct NUMBER OF RED CARDS points (3) 1.3 Q3  4 and Q1  1 IQR  4  1  3 red cards CA  Q1 Answer only full marks and Q3 CA answer (2) [8] ### Page 3 Mathematics P2 NSC Preparatory Examination September 2020 3 QUESTION 2 2.1 A  for A A for B A For equation Answer only full marks (4) 2.2 Estimated monthly income CA substitution CA answer R25598,89 (2) If 9000 is used only 1 mark 2.3 r = 0,94 CA (2) 2.4 Very strong positive relationship between the monthly rent and the monthly CA  strong income. CA  positive (2) [10] ### Page 4 Mathematics P2 NSC Preparatory Examination September 2020 4 QUESTION 3 3.1.1 A sub into correct formula 1 A  3 A Sub into correct formula A (4) 3.1.2 KM  4  42  10  02 CA subst  100 CA 10 units  10 units (2) Answer only full marks 3.1.3 1 CA tan   2 CA    26,570 provided acute angle Answer only full marks (2) 3.1.4  x1  x2 y1  y2  Acorrect substitution  ;   2 2  1 8 1 2   ;   2 2  9 3  ;  Aanswer (2) 2 2 3.2 Asubst A3 Aproduct = −1 (3) 3.3 AMKN -2 AKN  MN ASum of 180o is cyclic quadrilateral (converse, opp of a cyclic 1 1 M MN    2     1 quad are supplementary) 2 2 A reason (4) [17] ### Page 5 Mathematics P2 NSC Preparatory Examination September 2020 5 QUESTION 4 4.1 A A (2) 4.2 CA into equation CA CAequation For CA marks coordinates of M must be in second quadrant (3) 4.3 A or A Aproduct of gradients = -1 A900 is a tangent (conv. tangent and diameter) Areason (5) 4.4.1 CA CAequation Subst. (3; 2): CAsubst of (3; 2) or (2; -2) CAequation (4) 4.4.2 Let C(x; y) CAequation of circle At C; CAsubst x = 0 CAy values CAco-ordinate CAgradient Now CAequation (6) 4.5 Lines AT and BT intersect at C CAequations equal CAvalue of a CAvalue of b, For CA marks A and B are points in the 4th quadrant (3) [23] ### Page 6 Mathematics P2 NSC Preparatory Examination September 2020 6 QUESTION 5 5.1 Acos 49 0 A sin 79 0 Acos 30 0 A answer (4) Answer only no marks, used calculator 5.2 Aexpansion Alike terms added Adivide : A (4) 5.3.1 LHS: A A Anumerator Aanswer (4) RHS ### Page 7 Mathematics P2 NSC Preparatory Examination September 2020 7 5.3.2 A Astandard quadratic OR form A  Factors ref CA900 OR CA228.59 CA311.41 (6) QUESTION 6 6.1 A A A A (4) 6.2 A (1) 6.3.1 AAvalues and notation (2) 6.3.2 AAA values and correct notation (3) [11] ### Page 8 Mathematics P2 NSC Preparatory Examination September 2020 8 QUESTION 7 7.1 n   ASubst. into Area rule Asin2x Aanswer (5) 7.2 AUse of sine rule Asubst into sine Rule Asin 2x A2 sin x cos x (4) In 7.3 A ASP = PQ tan y (2) ### Page 9 Mathematics P2 NSC Preparatory Examination September 2020 9 QUESTION 8 8.1 h k R.T.P KP KQ  PL QM CONSTRUCTION: Aconstruction In ΔKPQ , draw perpendicular heights, h from Q to KP and K from P to KQ 1 Amethod KP  h Area of Δ KPQ 2  Area of ΔLPQ 1 PL  h 2 KP A KP PL = PL 1 KQ  k Area of KPQ Amethod  2 Area of MQP 1 QM  k 2 KQ KQ = A QM QM But area of  PLQ = Area of  MPQ Same base, same height Area of ΔKPQ Area of ΔKPQ   Area of ΔLPQ Area of ΔMQP Amethod KP KQ   PL QM (6) ### Page 10 Mathematics P2 NSC Preparatory Examination September 2020 10 8.2.1 In ΔAPQ: AB AC AS AR BC PQ  . ; conv prop AP AQ A S/R BC A S/R (4) 8.2.2 In A S/R A S/R A S/R A S/R (4) 8.2.3 AS AR A S is cyclic conv. A S/R (4) 8.2.4 AS AR AS AS/R AS/R (5) [23] QUESTION 9 9.1 In ΔMBC: B̂2  B̂3 = x BE bisects MB̂C AS  MB̂C  2 x MB̂C  MĈB  2 x angles opposite equal sides AS/R In ΔBEC : Ê 2  180o  ( x  x) Sum of angles of a Δ AS/R = 180o –2x AAnswer (4) ### Page 11 Mathematics P2 NSC Preparatory Examination September 2020 11 9.2 In ΔMBC: BM̂C  180o  (2 x  2 x) Sum of angles of a Δ = 180o – 4x AS AR 1 But BÂC  BM̂C  at centre twice angle 2 AS/R 1 = (180o  4 x) 2 = 90 – 2x (3) 9.3 In ΔABE : Ê1  Ê 2  180o Straight line AS/R Ê1  180o  E 2 = 180o – ( 180o – 2x) = 2x AS In ΔABE : AB̂E  BÂC  Ê  180o Sum of  s of Δ AS/R AB̂E  180o  (BÂC  Ê1 ) = 180o  (90o  2 x  2 x) = 90o AS  AE is a diameter of circle ABE (Subtends)  90o AR (5) [12] ### Page 12 Mathematics P2 NSC Preparatory Examination September 2020 12 QUESTION 10 10.1.1 Let and A S/R AS AR A S/R bisects AS (5) 10.1.2 In and is common AS/R AS AR remaining AR AR similar ’s A S/R (6) 10.2.1 XY = XT AS AR Aanswer (3) 10.2.2 A LHS A RHS ASimplification mm AAnswer (4) [18] TOTAL: 150 ## Related documents - [2020 GRADE 12 MATH TRIAL EXAM PAPER 2 KZN](https://www.hlayiso.com/library/2020-grade-12-math-trial-exam-paper-2-kzn/bc1658b3-f847-401c-bc59-8d5e8924854e) — Mathematics · QP · 2020 - [2020 GRADE 12 MATH TRIAL EXAM PAPER 1 KZN MEMO](https://www.hlayiso.com/library/2020-grade-12-math-trial-exam-paper-1-kzn-memo/d74b83c6-40ce-47f3-99b2-5422a6854104) — Mathematics · Memo · 2020 - [Gr 12 EC Maths P2 Memo Sep 2020 Errata](https://www.hlayiso.com/library/gr-12-ec-maths-p2-memo-sep-2020-errata/e1e6c6e0-9ebe-45f8-ba36-fe3147f0640a) — Mathematics · Memo · 2020 - [Gr 12 Gauteng Maths P2 Sep 2020](https://www.hlayiso.com/library/gr-12-gauteng-maths-p2-sep-2020/346151c4-588d-4f93-a0e8-ad2bbb142863) — Mathematics · QP · 2020 - [Mathematics P1 Nov 2020 Memo Afr Eng](https://www.hlayiso.com/library/mathematics-p1-nov-2020-memo-afr-eng/48e54b94-396f-4fda-b66d-100bed96bcc2) — Mathematics · Memo · 2020 · Eng - [LP Maths Grade 12 June 2024 P2 and Memo](https://www.hlayiso.com/library/lp-maths-grade-12-june-2024-p2-and-memo/ae975968-03fb-478d-83f9-e424fe245c15) — Mathematics · Memo · 2024 ## More from Grade 12 Mathematics - [MATHS P1 ANSWER BOOK GR12 SEPT 2025 English Afrikaans watermark](https://www.hlayiso.com/library/maths-p1-answer-book-gr12-sept-2025-english-afrikaans-watermark/d78c3fd3-dcd5-4f3f-911b-e5635b4686cc) — Addendum · 2025 · Afr - [Maths Grade 12 NSC P2 QP September 2025 Gauteng](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-qp-september-2025-gauteng/1d6bf7fd-d288-4a01-99f7-2c87e247760c) — QP · 2025 - [Maths Grade 12 NSC P2 QP September 2025 Afr Limpopo](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-qp-september-2025-afr-limpopo/f2f8d481-5d87-4e89-bb21-6077bbcf403d) — QP · 2025 · Afr - [Maths Grade 12 NSC P1 QP September 2025 Afr Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p1-qp-september-2025-afr-northern-cape/f5b3a4ce-fa91-4475-96e0-0654a87e1405) — QP · 2025 · Afr - [Maths Grade 12 NSC P2 QP September 2025 Eng Northern Cape](https://www.hlayiso.com/library/maths-grade-12-nsc-p2-qp-september-2025-eng-northern-cape/4ede8207-ca82-4419-bae1-fae734498cc7) — QP · 2025 · Eng - [MATHS P2 ANSWER BOOK GR12 JUNE 2024 Afr+English](https://www.hlayiso.com/library/maths-p2-answer-book-gr12-june-2024-afr-english/4a71e975-4ac4-4f55-8e23-0b8155a5b0c6) — Addendum · 2024 · Eng ## Collection - [Grade 12 past papers](https://www.hlayiso.com/grade-12/past-papers) --- Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.