Mathematics Grade 12 Paper 2 NSC June 2019 Addendum

Downloaded from hlayiso.com Candidate Barcode label/Stafieskodeplakker SC/NSC Answer Book SS/NSS Antwoordeboek Seniorsertifikaat-Eksamenantwoordeboek Senior Certificate/National Senior Certificate/Senior Sertifikaat/Nasionale Senior Sertifikaat (Grade 12/Graad 12) CENTRE NUMBER SENTRUMNOMMER EXAMINATION NUMBER EKSAMENNOMMER DATE BOOK NUMBER OF BOOKS DATUM BOEKNOMMER VAN BOEKE SUBJECT CODE PAPER NUMBER VAKKODE VRAESTELNOMMER 2 SUBJECT NAME VAKNAAM MATHEMATICS/WISKUNDE MODERATOR'S INITIALS IN RELEVANT BLOCK MARKER/NASIENER MODERATOR SE VOORLETTERS IN RELEVANTE BLOKKIE Marker's code Question Marks and Initials Marks Marks DCM Marks CM Marks Marks SM IM EM Vraag Punte Nasiener se kode Punte Punte AHN Punte HN Punte Punte en Voorletters TOTAL TOTAAL CONTROLLED AND CERTIFIED CORRECT (SURNAME AND INITIALS OF EA) READ INSTRUCTIONS ON THE NEXT PAGE. LEES INSTRUKSIES OP VOLGENDE BLADSY. GEKONTROLEER EN AS KORREK GESERTIFISEER (VAN EN VOORLETTERS VAN EA) This answer book consists of 25 pages./Hierdie antwoordeboek bestaan uit 25 bladsye. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 2 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek PLEASE FOLLOW THESE INSTRUCTIONS CAREFULLY VOLG ASSEBLIEF HIERDIE INSTRUKSIES NOUKEURIG 1. Clearly write your examination number and 1. Skryf jou eksamennommer en sentrumnommer centre number in the space provided and duidelik in die ruimtes verskaf en plak jou attach your barcode label in the space stafieskodeplakker in die ruimte verskaf. provided. 2. Remember that your own name (or the name 2. Onthou dat jou eie naam (of die naam van jou of your school) may NOT appear anywhere on skool) NIE op of in hierdie antwoordeboek or in this answer book. mag voorkom NIE. 3. Answer ALL questions in the spaces provided. 3. Beantwoord ALLE vrae in die ruimtes wat verskaf is. 4. NO pages may be torn from this answer book. 4. GEEN bladsye mag uit hierdie antwoordeboek geskeur word NIE. 5. Read the instructions printed on your 5. Lees die instruksies, wat op jou timetable carefully as well as any other eksamenrooster gedruk is, sorgvuldig deur, instructions which may be given in each asook enige ander instruksies wat op elke question paper. vraestel gegee word. 6. Candidates may NOT retain an answer book 6. GEEN antwoordeboek mag deur die or remove it from the examination room. kandidaat behou of uit die eksamenlokaal verwyder word NIE. 7. Answers must be written in black/blue ink as 7. Skryf die antwoorde so duidelik moontlik met distinctly as possible. Do NOT write in the swart/blou ink. Laat die kantlyne oop. margins. 8. Write the numbers of the questions you have 8. Skryf die nommers van die vrae wat jy answered on the front cover of the answer beantwoord het op die voorblad van die book where marks are to be recorded. antwoordeboek waar die punte aangebring word. 9. If you require additional space for your 9. In geval jy bykomende ruimte benodig vir jou answers: antwoorde: 9.1 Use the additional space provided at 9.1 Gebruik die bykomende ruimte wat the end of the answer book. aan die einde van die antwoordeboek 9.2 When answering a question in the verskaf word. additional space, clearly indicate the 9.2 As 'n vraag in die bykomende ruimte question number in the column on the beantwoord word, dui duidelik LHS. die vraagnommer in die kolom aan 9.3 Rule off after each answer. die LK aan. 9.3 Trek 'n lyn na elke antwoord. 10. Draw a neat line through any work/rough 10. Trek 'n netjiese lyn deur enige werk/rofwerk work that must not be marked. wat nie nagesien moet word nie. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 3 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 1 TIME TAKEN (t) NUMBER OF (IN MINUTES)/ CHILDREN/ TYD GENEEM (t) GETAL (IN MINUTE) KINDERS 2t6 2 6  t  10 10 10  t  14 9 14  t  18 7 18  t  22 8 22  t  26 7 26  t  30 2 Solution/Oplossing Marks Punte 1.1 (1) 1.2 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Mathematics P2/Wiskunde V2 Downloaded from hlayiso.com 4 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek 1. 3 Time in minutes (t) Number of children Cumulative frequency Tyd in minute (t) Getal kinders Kumulatiewe frekwensie 2t6 2 6  t  10 10 10  t  14 9 14  t  18 7 18  t  22 8 22  t  26 7 26  t  30 2 (2) 1. 4 CUMULATIVE FREQUENCY GRAPH (OGIVE) KUMULATIEWEFREKWENSIEGRAFIEK (OGIEF) 50 40 Cumulative frequency 30 Kumulatiewe frekwensie 20 10 0 0 5 10 15 20 25 30 Time in minutes • Tyd in minute (3) 1.5 (2) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 5 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 2 LEARNER/ L1 L2 L3 L4 L5 L6 L7 L8 L9 L10 L11 L12 L13 L14 L15 LEERDER TEST 1/ TOETS 1 10 18 23 24 27 34 34 36 37 39 40 44 45 48 49 (%) TEST 2/ TOETS 2 33 21 32 20 58 43 49 48 41 55 50 45 62 68 60 (%) Solution/Oplossing Marks Punte 2.1 (3) 2.2.1 (1) 2.2.2 (2) 2.3.1 (2) 2.3.2 (2) [10] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 6 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 3 y K  B  x E(–2; 0) 0 A C(2 ; –3) D(–2 ; –5) Solution/Oplossing Marks Punte 3.1.1 (2) 3.1.2 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 7 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 3.1.3 (3) 3.1.4 (3) 3.2 (3) 3.3.1 (1) 3.3.2 (4) [18] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 8 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 4 y L T(–2 ; b) M(2 ; 1) x K P Solution/Oplossing Marks Punte 4.1 (4) 4.2.1 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 9 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 4.2.2 (4) 4.2.3 (7) 4.3 (4) [21] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 10 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 5 Solution/Oplossing Marks Punte 5.1.1 (1) 5.1.2 (1) 5.2 (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 11 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 5.3 (5) [12] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 12 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 6 Solution/Oplossing Marks Punte 6.1 (6) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 13 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek 6.2 y D g B 0° A 180° x –180° f C Solution/Oplossing Marks Punte 6.2.1(a) (1) 6.2.1(b) (2) 6.2.2(a) (2) 6.2.2(b) (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 15 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 7 E A  D 2 B 60° x+2 x C H F G Solution/Oplossing Marks Punte 7.1.1 (2) 7.1.2 (2) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 16 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 7.2 (3) 7.3 (4) [11] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 17 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Give reasons for your statements in QUESTIONS 8, 9 and 10. Gee redes vir jou bewerings in VRAAG 8, 9 en 10. QUESTION/VRAAG 8 8.1 P N M 2 1 O L S 31° T Solution/Oplossing Marks Punte 8.1.1(a) (2) 8.1.1(b) (2) 8.1.2 (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 18 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek 8.2 B K L A N M C Solution/Oplossing Marks Punte 8.2.1 (2) 8.2.2 (3) [13] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 19 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 9 K x M 1 2 N 1 2 1 2 A 3 B Solution/Oplossing Marks Punte 9.1 (6) 9.2 (5) [11] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 20 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek QUESTION/VRAAG 10 10.1 A D  F E  B C Solution/Oplossing Marks Punte (6) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 21 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek 10.2 D 4 G 3 2 1 2 1 2 1 A O F B C E Solution/Oplossing Marks Punte 10.2.1(a) (3) 10.2.1(b) (5) 10.2.2(a) (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 22 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek Solution/Oplossing Marks Punte 10.2.2(b) (5) 10.2.2(c) (4) [26] TOTAL/TOTAAL: 150 Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

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Downloaded from hlayiso.com Mathematics P2/Wiskunde V2 25 DBE/2019 SC/NSC/SS/NSS – Answer Book/Antwoordeboek RE-MARK/RE-CHECK HERMERK/HERSIEN Question Marks Initials Vraag Punte Voorletters TOTAL TOTAAL HASH TOTAL KAF- TOTAAL Copyright reserved/Kopiereg voorbehou