Technical Mathematics Grade 12 Paper 2 NSC June 2021 Addendum

Downloaded from hlayiso.com sake, . . < basic education j Department: X « h)} j Basic Education 4 REPUBLIC OF SOUTH AFRICA SC/NSC Answer Book SS/NSS-Antwoordeboek v ' 1 1 1 1 ‘ ' Candidate Barcode Label/Stafieskodeplakker 1 ‘ t 1 ‘ 1 1 1 1 ENIOR CERTIFICATE EXAMINATIONS/NATIONAL SENIOR CERTIFICATE EXAMINATIONS SENIOR SERTIFIKAAT-EKSAMEN/NASIONALE SENIORSERTIFIKAAT-EKSAMEN (Grade 12/Graad 12) CENTRE NUMBER SENTRUMNOMMER s “Saguarner op patedaat EXAMINATION NUMBER EKSAMENNOMMER _| || DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE SUBJECT CODE Ty PAPER NUMBER 2 VAKKODE VRAESTELNOMMER IBJECT NAME vARNAAM TECHNICAL MATHEMATICS/TEGNIESE WISKUNDE This answer book consists of 25 pages/Hierdie antwoordeboek bestaan uit 25 bladsye. MODERATOR'S INITIALS IN RELEVANT BLOCK/ RE-MARK/RE-CHECK/ MODERATORPARAAF IN BETROKKE BLOKKIE HERNASIEN/HERKONTROLEER Question Marks Marker's Code Marks Question Marks Initials Vraag Punte & Initials ‘Purte) |) 5M -] DEM) | CM) | VIM) EM Vraag Punte Paraaf MARKERINASIENER = eolelalalm) alu) r [= wolalalalalale|r _ = ~ o _ = = = _ iy em n _ wo _ Oo _ a - a a nm _ On 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 LEES ASSEBLIEF INSTRUKSIES OP VOLGENDE BLADSY

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 2 DBE/2021] SC/NSC/SS/NSS — Answer Book/Antwoordeboek PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY VOLG ASSEBLIEF HIERDIE INSTRUKSIES NOUKEURIG 1. Your examination number and centre number must be clearly written in the space provided. and attach your examination number sticker in the space provided. 2. Remember that your own name (or the name of your school) may not appear anywhere on or in this answer book. 3. Answer ALL questions in the spaces provided. 4. No pages may be torn from this answer book. 5. Read the instructions printed on your timetable carefully as well as any other instructions which may be given in each examination paper. 6. 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. 7. Answers must be written in black/blue ink as distinctly as possible. Do NOT write in the margins. 8. 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. 9. Draw a line through any work/rough work that must not be marked. 10 In the event that you use the additional space provided: 10.1 Write down the question number question 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 netjiese 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. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatrenaner MOY paded f ro m h | ay is 0 . co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 1 Ay Kd:7) 6 x r7) > 4 L(-3;1) 2@30) Solution/Oplossing Marks Punte 11 (2) 1.2 (2) 1.3 Q) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

recmicel Mateneed MO RAdeA from hlayiso.com —— pse2001 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 1.4 (2) 1.5 (2) 1.6 (3) 1.7 (2) [15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mathematicd wil paded f rp m h | ay iso ° co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 2 + \ / Se a Solution/Oplossing Marks Punte 2.1.1 (2) 2.1.2 (1) 2.1.3 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

rectnieal totem ORGIES From hlayiso.com pyro, SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 2.2 G3) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Mahenandd oval paded f ro m h | ay iso . co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 3 Solution/Oplossing Marks Punte 3.1 Ay P(3; m) 13 Ol £. > x 3.1.1 @) 3.1.2 (4) 3.2.1 Q) 3.2.2 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

recnical Natron oaded from hlayiso.com DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 3.2.3 (2) 3.3 (4) (15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatnenaaiceS) wo) paded f rp m h | ay is 0.CcO m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 4 Solution/Oplossing Marks Punte 4.1 (5) 4.2 (7) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vettenar PY wn gaded f "9 m h | ay ' Ss 0 . co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 5 Solution/Oplossing Marks Punte 5.1 y x (8) 5.2.1 (2) 5.2.2 (2) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatrenencde pad d f ro m h | ay | So CO m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 6 Solution/Oplossing Marks Punte 6.1 3) 6.2 QQ) 6.3 3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatnenid WO paded f ro m h | ay is 0.CcO m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 6.4 3) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

ownloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Give reasons for your statements in QUESTIONS 7, 8 and 9. Verskaf redes vir jou bewerings in VRAAG 7, 8 en 9. QUESTION/VRAAG 7 Solution/Oplossing Marks Punte 71 (1) 7.2 Solution/Oplossing Marks Punte 7.2.1(a) () 7.2.1(b) (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

wnloaded from hlayiso.com Technical eareneieR ONY DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 7.2.1(c) (3) 7.2.2 @) [15] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical ethene gw paded from hlayiso.com DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 8 K P L N 98° M Solution/Oplossing Marks Punte 8.1 (2) 8.2.1 Q) 8.2.2 2) 8.2.3 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical Matenaid OMAN paded f 1612) m h | ay is oO . co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 8.3.1 (3) 8.3.2 (2) 8.4 (2) 8.5 G3) {18] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 9 od Cc Solution/Oplossing Marks Punte 9.1.1 (2) 9.1.2 (2) 9.2 (3) [7] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vretnenan wn gaded f r9 m h | ay is 0 . co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 10 10.1 Circular area “ : bottom Sirkelvormige SP er neal opperviakte deur E onderste sprinkelaarkop cf / fren | iss Circular area Sirkelvormige covered by top oppervlakte deur sprinkler head boonste sprinkelaarkop gedek Solution/Oplossing Marks Punte 10.1.1(a) Q) 10.1.1(b) (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatremandR WO egniese loaded f r9 m h | ay SO. co m DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek 10.1.2 mo “-\ SF 6,95 m, \ On \ / G Solution/Oplossing Marks Punte 10.1.2(a) GB) 10.1.2(b) (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical trend WA gaded f r9 m h | ay Iso.com DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 10.2.1 (2) 10.2.2 3) 10.2.3 (3) [19] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Technical Mathematics/P2/Tegniese Wiskunde/V2 DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek QUESTION/VRA4AG 11 Ul | 1om—1¢ P > a Rm Damaged aa 18m area ™ 15m 7,5 m alias 7 lim gedeelte ian. 7m Solution/Oplossing Marks Punte 111.1 (2) 11.1.2 Q) 11.1.3 (6) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vattenandd QW gage v2 ded from hlayiso.com 22 DBE/2021 SC/NSC/SS/NSS — Answer Book/Antwoordeboek 11.2 a The following formula may be used/Die volgende formule kan gebruik word: Volume of a rectangular prism = length x breadth x height Volume of a right pyramid = * (area of the base) height Total surface area ofa square-based pyramid= 4x E (side length of base) (slant bit) + (side length)? Volume van 'n reghoekige prisma = lengte x breedte x hoogte Volume van 'n regte piramide = (oppervlakte van die basis) hoogte Totale buite-oppervlakte van'n piramide met vierkantige basis = als (sylengte van basis)x (xinshoog) + (sylengte) ? Solution/Oplossing Marks Punte 11.2.1 Q) 11.2.2 Q) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Technical vatenen QW oad ed f ro m h | ay s 0.co m egniese Wiskunde/V2 DBE/2021 SC/NSC/SS/NSS — Answer Book/Aniwoordeboek Solution/Oplossing Marks Punte 11.2.3 (4) (17] TOTAL/TOTAAL: 150 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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