Technical Mathematics Grade 12 Paper 2 NSC November 2019 Addendum

Downloaded from hlayiso.com = yy a basic education —— Department: © S) Basic Education a” REPUBLIC OF SOUTH AFRICA NSC Answer Book NSC Antwoordeboek Candidate Barcode Label/Stafieskodeplakker National Senior Certificate/Nasionale Senior Sertifikaat (Grade 12/Graad 12) CENTRE NUMBER SENTRUMNOMMER ‘Sequence no on mark sheet ‘yeeros cepacia EXAMINATION NUMBER EKSAMENNOMMER DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE SUBJECT CODE PAPER NUMBER 2 VAKKODE VRAESTELNOMMER SUBJECT NAME PARNAAAE, TECHNICAL MATHEMATICS/TEGNIESE WISKUNDE This answer book consists of 24 pages/Hierdie antwoordeboek bestaan uit 24 bladsye. MODERATOR'S INITIALS IN RELEVANT BLOCK) RE-MARK/RE-CHECK/ ARES TURES MODERATORPARAAF IN BETROKKE BLOKKIE. HERNASIEN/HERKONTROLEER Question | Marks | Marker'sCode | Marks Question | Marks Initials Vraag Punte & Initials Punte. e| SEN DEM) 9CM) | TIM) || EM Vraag Punte Paraaf 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 il iL 12 12 13 13 14 14 15 15 16 16 TOTAL TOTAL TOTAAL TOTAAL HASH TOTAL KAFTOTAAL CONTROLLED AND CERTIFIED CORRECT PLEASE READ INSTRUCTIONS ON THE NEXT PAGE SURNAME AND INITIALS OF EA) LES ASSEBLIEF INSTRUKSIES OP VOLGENDE BLADSY

Technical MathemidDOwhoaded from hlayiso.Cortbannovener 20 NSC/NSS — Answer Book/Antwoorde: PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY oek EBLIEF HIERDIE INSTRUKSIES NOUKEURIG 10 Your examination number and centre number must be clearly written in the space provided and attach your examination number sticker in the space provided. Remember that your own name (or the name of your school) may not appear anywhere on or in this answer book. Answer ALL questions in the spaces provided. No pages may be torn from this answer book. Read the instructions printed on your timetable carefully as well as any other instructions which may be given in each examination paper. Candidates may not retain an answer book or remove it from the examination room. Answer books must be returned to the Invigilator at the end of the examination session. Answers must be written in black/blue ink as distinctly as possible. Do NOT write in the margins. Indicate the questions you have answered by drawing a circle around the relevant numbers on the front cover of the answer book where marks are to be recorded. Draw a line through any work/rough work that must not be marked. In the event that you use the additional space provided: 10.1 Write down the question number 10.2 Leave a line and rule off after your answer 10 Skryf jou eksamennommer en sentrumnommer duidelik in die ruimtes verskaf en plak jou eksamennommeretiket in die ruimte verskaf. Onthou dat jou eie naam (of die naam van jou skool) nie op of in hierdie antwoordeboek mag voorkom nie. Beantwoord ALLE vrae in die ruimtes wat verskaf is. Geen bladsye mag uit hierdie antwoordeboek geskeur word nie. Lees die instruksies wat op jou eksamenrooster gedruk is sorgvuldig deur, asook enige ander instruksies wat in elke eksamenvraestel gegee word. Geen antwoordeboek mag deur die kandidaat behou of uit die eksamenlokaal verwyder word nie. Antwoordeboeke moet aan die einde van die eksamensessie aan die toesighouer terugbesorg word. Skryf die antwoorde so duidelik moontlik met swart/blou ink. MOENIE in die kantlyn skryf NIE. Dui die vrae wat jy beantwoord het op die voorblad van die antwoordeboek aan, waar die punte aangebring word, deur 'n kringetjie om die nommers van die vrae wat jy beantwoord het, te trek. Trek 'n lyn deur enige werk/rofwerk wat nie nagesien moet word nie. In geval jy die bykomende ruimte wat verskaf is, gebruik: 10.1 Skryf die vraagnommer neer 10.2 Laat 'n lyn oop en trek 'n lyn na jou antwoord Co pyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematicl OWA eaded f ro m h | a’ NSC/NSS — Answer Book/A Oy! QUESTION/VRAAG 1 ay / | oo if | 4B / / % f i {| 78° fe) E / / / a] F-8-4)/ ‘Fh iso .coO (wBENovember 2019 Solution/Oplossing Marks Punte 1.1 Q) 1.2 Q) 1.3 Q) Copyright reserved/Kopiereg voorbehou Please tum over/Blaai om asseblief

Technical Mathematicl XO: wl oaded f ro m h | ay NSC/NSS — Answer Book/Antwoorde! 1SO.COMbsenovember 2019 oek Solution/Oplossing Marks Punte 1.4 (2) 1.5 (5) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathematicL ON U naked f ro m h | ay is fe) . co Vopeovember 2019 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 2 Solution/Oplossing Marks Punte 2.1.1 (2) 2.1.2(a) (1) 2.1.2(b) () 2.1.3 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathemaicOWMoaded From hlayiso.cotosznovenver219 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 2.2.1 (2) 2.2.2 s y t : ; ; x 7 > 0 @) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathemaic DOW AM oaded f ro m h | a’ is (e) . co (MoBE/November 2019 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 3 Solution/Oplossing Marks Punte 3.1.1 ie) 3.1.2 (2) 3.2.1 (2) 3.2.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathemaicDOWwMeaded from hlay NSC/NSS — Answer Book/Antwoorde 1SO.COMMbsenovember 2019 ek Solution/Oplossing Marks Punte 3.3.1 (2) 3.3.2 (4) [16] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematicl OAM eaded f ro m h | ay NSC/NSS — Answer Book/Antwoorde Iso . co (VoBENovember 2019 oek QUESTION/VRAAG 4 Solution/Oplossing Marks Punte 4.1.1 (1) 4.1.2 (3) 4.2.1 Q) 4.2.2 (6) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathemaric OM raded f 1619) m h | ay is O . co oprNovember 2019 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 5 Y 24 1 & 0 45° 90° 135° 180° * R(21,5°; -0,7 4 R (215°;-0,7) a tI —24- Solution/Oplossing Marks Punte 5.1 Q) 5.2 (2) 5.3 (2) 5.4.1 (2) 5.4.2 (2) 19] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematicl OWA panded f nom h | GQY1SO.COMbsenovember 2019 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 6 A D 300 m al 50\8 B 150m Cc E Solution/Oplossing Marks Punte 6.1 (3) 6.2 G) 6.3 (4) (12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathenailDownlaaded f nom hlayiso.co (VbBENovember 2019 Give reasons for your statements in QUESTIONS 7, 8 and 11. Gee redes vir jou bewerings in VRAAG 7, 8 en 9. NSC/NSS — Answer Book/Antwoord QUESTION/VRAAG 7 Solution/Oplossing Marks Punte 71 Q) va { A XY ss Solution/Oplossing Marks Punte 7.2.1(a) (2) 7.2.1(b) Q) 7.2.1(c) (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematicl OA oaded f no m h | a’ iso . co (MpBENovember 2019 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 7.2.2(a) (1) 7.2.2(b) (1) 7.23 (4) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathemiDowMoeaded from hlayiso.Cotpserovante:2 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 8 Solution/Oplossing Marks Punte 8.1 Q) 8.2 A B 30° 1/2 cf 1/2 F 1 240 3 1/74 pKa E Solution/Oplossing Marks Punte 8.2.1(a) (2) 8.2.1(b) (2) 8.2.1(c) (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical VathemaiolrOWwnloaded f no m h | ay is 0.CcO Whsemovember 2019 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 8.2.1(d) G3) 8.2.2 ) {14] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathemaic DOW oade.d f no m h | Qa is oO . co (MioBENovember 2019 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 9 Solution/Oplossing Marks Punte 91 Q) 9.2 oO iis D a F E B G Cc Solution/Oplossing Marks Punte 9.2.1 3) 9.2.2(a) (2) 9.2.2(b) (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathemati DOHA eadad f re m h | ay is fe) . co MW psenovember 2019 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 9.2.2(c) (3) 9.3 (3) [15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technica! Mathemi pOWwMoaded from hlayiso.cotoseovenerz09 NSC/NSS — Answer Book/Antwoordei ek QUESTION/VRAAG 10 10.1 Solution/Oplossing Marks Punte 10.1.1 —_ - - . Q) 10.1.2 G) Copyright reserved/Kopiereg voorbehou Please tun over/Blaai om asseblief

Technical Mathemat OMALOAGLE,G f reg m h | ay is ce) ° co m DBE/November 2019 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing 7 Marks Punte 10.1.3 (3) 10.1.4 4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Matenadoownloaded f rqm h | ay is 0.CO m DBE/November 2019 NSC/NSS — Answer Book/Antwoordeboek 10.2 Solution/Oplossing Marks Punte 10.2.1 (3) 10.2.2 (3) 10.2.3 (3) 222] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical varenai lO OMinQaded from hla NSC/NSS — Answer Book/Antwoorde! iSo.co WoBEnNovember 2019 QUESTION/VRAAG 11 11.1 we r\ \ fi NT 18m) 2m b) 13m 18m q 7,5m >| Solution/Oplossing Marks Punte 11.1.1 Q) 11.1.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematic OWA oaded f rem h | GYISO.COMbosemovember 2019 NSC/NSS — Answer Book/Antwoordeboek 11.2 The following formulae may be used: Total surface area of a right cylinder = 2xr? + 2xrh Area of a rectangle = length x breadth Volume of a right prism = (Area of the base) = height Die volgende formules kan gebruik word: Totale oppervlakte van 'n regte silinder = 2xr? + 2zrh Oppervlakte van 'n reghoek = lengte x breedte Volume van 'n regte prisma = (Oppervlakte van die basis) x hoogte Solution/Oplossing Marks Punte 11.2.1 (1) 11.2.2 () 11.2.3 (6) [14] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathematicL OM eaded f 6.9) m h | ay is NSC/NSS — Answer Book/Antwoordeboek O. COM bBENovember 2019 Additional space/Bykomende ruimte Marks Punte Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical MathematicA DOAN oaded f 16.9) m h | a’ iso . co NSC/NSS — Answer OM ay (TbBENovember 2019 Copyright reserved/Kopiereg voorbehou Additional space/Bykomende ruimte Marks Punte TOTAL/TOTAAL: 150