Mathematics Grade 12 Paper 2 NSC November 2016 Addendum

Downloaded from hlayiso.com basic education Department Basic Education REPUBLIC OF SOUTH AFRICA Candidate Barcode Label/Siafieskodepiakker NSC Answer Book NSS-antwoordeboek National Senior Certificate/Nasionale Senior Sertifikaat (Grade 12/Graad 12) CENTRE NUMBER SENTRUMNOMMER “Yeorornar op patetet EXAMINATION NUMBER EKSAMENNOMMER | DATE ] BOOK NUMBER OF BOOKS DATUM | BOEKNOMMER VAN BOEKE | SUBJECT CODE |_VAKKODE SUBJECT NAME 7 VAKNAAM ATHEMATICS/WISKUNDE This answer book consists of 28 pages./Hierdie antwoordeboek bestaan uit 28 bladsye. MODERATOR'S INITIALS IN RELEVANT BLOCK RE-MARK/RE-CHECK/ WED OLS MODERATORPARAAF IN BETROKKE BLOKKIE HERNASIEN/HERKONTROLEER Question | Marks | Marker's Code | Marks Question | Marks Initials Vraag Punte & Initials Punte | SM | DCM | CM | IM | EM Vraag Punte Paraaf 1 | 1 2 2 3 3 4 4 5 | 5 6 6 7 | 7 | 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 | 16 | TOTAL | TOTAL TOTAAL | TOTAAL HASH TOTAL KAFTOTAAL CONTROLLED AND CERTIFIED CORRECT | READ INSTRUCTIONS ON THE NEXT PAGE (SURNAME AND INITIALS OF EA) TEES INSTRUKSIES OP VOLGENDE BLAS}

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 2 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek FOLLOW THESE INSTRUCTIONS CAREFULLY Write your examination number and centre number clearly in the spaces 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. Rule off 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 number of the question 10.2 Leave a line and rule off after your answer. 10 VOLG HIERDIE INSTRUKSIES NOUKEURIG Skryf jou eksamennommer en sentrumnommer duidelik in die ruimtes soos verskaf en plak jou eksamennommeretiket in die ruimte soos 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 voorsien 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 Toesighouer terugbesorg word aan die einde van die eksamensessie. Skryf die antwoorde so duidelik moontlik met swart/blou ink. Moenie in die kantlyn skryf nie. Dui die vrae wat jy beantwoord het aan op die voorblad van die antwoordeboek waar die punte aangebring word, deur 'n kringetjie te trek om die nommers van die vrae wat jy beantwoord het. Trek 'n netjiese lyn deur enige werk/rofwerk wat nie nagesien moet word nie. Ingeval jy die bykomende ruimte wat voorsien word, gebruik: 10.1 Skryf die nommer van die vraag neer 10.2 Laat 'n lyn oop en trek 'n lyn na jou antwoord. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 3 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 1 Distance from the store in km | Afstand vanaf die winkel in km ' 2,3) 4 | i & | 10 Average number of times shopped per week | Gemiddelde aantal keer wat kopers 12/}10; 7/7|,6}]2)3 42 per week inkopies doen | SCATTER PLOT/SPREIDIAGRAM = S 33 12> ' - 8% 11 +—_—_ ; ~ 28 10 @ — a= 8 + - se? | ZS 64 a = acim es ae os 4 — —| BS 4t— — si 35 — aad Sane ? e= 3 | ss of O+ Hp fon ~~ ame BS g 0 1 2 3 4 5 6 7 8 9 10 2 Distance from the store in km/Afstand vanaf die winkel in km ‘| Solution/Oplossing —_ Marks” Punte I. QM 12 dd) 1.3 (3) 1.4 (2) 1.5 Draw on the scatter plot above./Skets op die spreidiagram hierbo. (2) [9] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 QUESTION/VRAAG 2 4 NSC/NSS — Answer Book/Antwoordeboek DBE/November 2016 Histogram Number of learners/ Aantal leerders 11 1,3 1,5 1,7 1,9 2,1 Heights (in m)/ Hoogtes (in m) Solution/Oplossing Marks Punte 2.1 (1) 2.2 (2) 23 Intervals Cumulative frequency Klasse Kumulatiewe frekwensie 133 x5 15:s.x <1,7 L7S x <9 1,9:<.x <2) 21s x9< 23 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 5 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 2.4 OGIVE/OGIEF BR p ° i | Number of learners/Aantal leerders wo oOo i 0 . | t — a1 4.3 iS 1.7 19. 2.1 23 25 Heights/Lengtes (in m) (4) aud (2) 2.6.1 Q) 2.6.2 (1) [13] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 6 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 3 y=2x+16 —L> C6 ; 3) A(-7 ; 2) M a x F(p ; 0) B Solution/Oplossing Marks Punte el (2) 3.2 () 3.3 G) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 7 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 3.4 (3) 3.5 (2) 3.6 G3) 3.7 (3) 3.8 (2) [19] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 NSC/NSS — Answer Book/Antwoordeboek DBE/November 2016 QUESTION/VRAAG 4 a L v T(3; 7) R SG ; 2) 0 o: K(a; 6) Solution/Oplossing Marks Punte 4.1 QQ) 4.2 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 9 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing a Marks Punte 43 (G3) 44.1 (2) 4.4.2 (G3) 4.43 (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Mathematics P2/Wiskunde V2 Downloaded from hlayiso.com NSC/NSS — Answer Book/Antwoordeboek ll DBE/November 2016 QUESTION/VRAAG 5 Solution/Oplossing Marks Punte Sel] (2) $12 (2) 5.2 (3) 5.3 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 12 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 5.4.1 (3) 5.4.2 (2) 5.4.3 (4) 21] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 QUESTION/VRAAG 6 NSC/NSS — Answer Book/Antwoordeboek DBE/November 2016 Solution/Oplossing 6.1 6.2 6.3 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief Marks Punte

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Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek QUESTION/VRAAG 7 Volume of pyramid = jlarea of base) x (L height) Volume van piramide = 5 (opperviakte van basis) x ( hoogte) Solution/Oplossing Marks Punte 7A (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 18 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Give reasons for ALL statements and calculations in QUESTIONS 8, 9 and 10. Gee redes vir ALLE bewerings en berekeninge in VRAAG 8, 9 en 10. QUESTION/VRAAG 8 8.1 Solution/Oplossing Marks Punte Q) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 19 DBE/November 2016 NSC/NSS — Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 8.1.2(a) (3) 8.1.2(b) Q) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com 20 NSC/NSS — Answer Book/Antwoordeboek Mathematics P2/Wiskunde V2 DBE/November 2016 8.2 Solution/Oplossing Marks Punte 8.2.1 1c) 8.2.2 e) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 28 DBE/November 2016 SCE/SSE — Answer Book/Antwoordeboek Additional space/Bykomende ruimte Marks Punte TOTAL/TOTAAL: 150 Copyright reserved/Kopiereg voorbehou