# Mathematics Grade 12 P2 KwaZulu Natal Mock 2020 QP > Grade 12 Mathematics Paper 2 question paper 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/bc1658b3-f847-401c-bc59-8d5e8924854e - Updated: 2026-09-27 - Subject: Mathematics - Grade: Grade 12 - Document type: Question paper - 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 P2 KwaZulu Natal Mock 2020 QP](https://www.hlayiso.com/library/2020-grade-12-math-trial-exam-paper-2-kzn/bc1658b3-f847-401c-bc59-8d5e8924854e) ## About this document Mathematics · Grade 12 · KwaZulu Natal Mock Exam · 2020. Question paper, 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 Downloaded from hlayiso.com education Department: Education PROVI N CE OF KWAZULU-NATAL GRADE 12 z^aa-.. - - - - -. -. -. - -. -. -.. - - - =. - - -. - - - -.. -... -; = -a\ ta '. |l MATHEMATICS P2 '.1 tt 'a ,a t' '.'ttt PREPARATORY EXAMINATION :i at a, |l '.ll t! SEPTEMBER 2O2O :i ll tt \l s\--r -e1 ! - ! = ! = ! ! ! ! ! ! ! ! = ! r ! = = ! = ! ! = = = ! = ! ! = ! : ! ! = ! = ! r ! = = 2)' MARKS: 150 TIME: 3 hours This question paper consists of 11 pages and an information sheet. ght reserved Please turn over ### Page 2 Downloaded from hlayiso.com Mathematics P2 2 Preparation Examination September 2020 NSC - Grade 12 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions: l. This question paper consists of 10 questions. 2. Answer ALL the questions, 3. Clearly show ALL calculations, diagrams, graphs, et ceter4 which you have used in determining the answers. Answers only will not necessarily be awarded fulI marks. 5. You may use an approved scientific calculator (non-programmable and non-graphical), unless $tated otherwise. 6. If necessary, round off answers to TWO decimal places, unless stated otherwise. '.7. Diagrams are NOT necessarily drawn to scale. 8. Number the answers correctly according to the numbering system used in this question paper. 9. Write neatly and legibly. Copyright Reserved Please turn over ### Page 3 Downloaded from hlayiso.com Mathematics P2 3 Preparation Examination September 2020 NSC - Grade 12 QUESTTON I The total number of red cards issued per country to players during a soccer competition are given in the table below: NUMBER OF' NUMBER OF MIDPOINT OF INTERVAL (x) f.x RED CARDS COUNTRIES (fl 0 0 where S(r) > 0 (3) Copyright Reserved " Please tum over ### Page 7 Downloaded from hlayiso.com Mathematics P2 Preparation Examination September 2020 NSC - Gnde 12 l10l QUESTTON 7 In the diagram P, Q and R are three points in the same horizontal plane. PR = QR= z, QpR = x. SP is perpendicular to PQ. The angle of elevation of S from Q is y. o 7.1 Express the area of APQR in terms of x andm. (5) 7.2 Showthat PQ:2mcosx (4) 7.3 Hence, prove that SP :2m cos xtany (2) 111l Copynght Reserved Pleaee tum over ### Page 8 Downloaded from hlayiso.com Mathematics P2 8 Preparation Examination September 2020 NSC - Grade 12 QUESTTON 8 8.1 In the diagram below A KLM is givon, with P and Q lying on KL and KM respectively such that PQ il fU. PM and LQ are drawn. Prove that *="Q (6) PL QM Copynght Reserved Please tum over ### Page 9 Downloaded from hlayiso.com Mathematics P2 9 Preparation Examination September 2020 NSC - Grade 12 8.2 In the diagram, SBT, SA and TC are tangents to the circle at B, A and C respectively. AB is produced to P and AC is produced to Q such that T lies on the line PQ. AB AC. In aAPo.--AP- AQ Use the above information to prove: 8.2.r -A, rr, (4) 8.2.2 AABC ll/ LTCQ (4) 8.2.3 ABTQ is a cyclic quadrilateral. (4) 8.2.4 Prove that TQ is a tangent to circle TBC at T. (5) I23l Copyright Reserved Please tum over ### Page 10 Downloaded from hlayiso.com Mathematics P2 l0 Preparation Examination September 2020 NSC - Grade 12 QUESTION 9 In the diagtam, M is the centre of the circle through A, B and C. E is on AC. AC bisects frrfeg and EB bisects frrmC . fr,: x Determine the size of E" in terms ofx. (4) 9.1 (3) . 9.2 Show BAC = 90" - 2x 9.3 Prove that AE is a diameter of circle ABE. (s) Ir2l Please turn over Copyright Reserved ### Page 11 Downloaded from hlayiso.com Mathematics P2 1l Preparation Examination September 2020 NSC - Grade 12 QUESTTON 10 l0.l In the diagram XMN is a straight line and XT is a tangent tothe circle. Y is a point on XN so that XY : XT. Prove that: : 10.1.1 YTbisect MtN. (5) XM _ XT (6) IO.I.2 XT XN I0.2 Given that MY:20 mm. YN: 50 mm and XT : kmm; " 10.2.1 Express XM in terms of k. (3) 10.2.2 Calculate the length of k. (4) l18l TOTAL MARKS: 150 Copyright Reserved ### Page 12 Downloaded from hlayiso.com Mathematics P2 t2 Preparation Examination September 2020 NSC - Grade 12 -b! 2a A= P(7+ni) A= P(l-ni) A= P(l-i)' A= P(l+i)" Tn = e+(n-l)d d S^= * T, = ar'-r l-r i -l