NAME OF LEARNER: NAAM VAN LEERDER: CLASS: KLAS: NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT MATHEMATICS P2/WISKUNDE V2 GRADE/GRAAD 11 NOVEMBER 2016 SPECIAL ANSWER BOOK SPESIALE ANTWOORDEBOEK QUESTION VRAAG MARK PUNT INITIAL PARAAF MODERATION MODERERING INITIAL PARAAF 1 2 3 4 5 6 7 8 9 10 11 12 TOTAL TOTAAL (150) This answer book consists of 22 pages. Hierdie antwoordeboek bestaan uit 22 bladsye.
Mathematics/P2/Wiskunde/V2 2 DBE/November 2016 QUESTION/VRAAG 1 5 8 15 20 25 27 31 36 75 1.1 1.2 (1) 1.3 1.4 (1) 1.5 (3) 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 (3)
Mathematics/P2/Wiskunde/V2 3 DBE/November 2016 1.6 1.7 (1) (1) [12]
Cumulative frequency Mathematics/P2/Wiskunde/V2 4 DBE/November 2016 QUESTION/VRAAG 2 2.1 TIME SPENT/ TYD SPANDEER (IN MINUTES/ MINUTE) FREQUENCY/ FREKWENSIE CUMULATIVE FREQUENCY/ KUMULATIEWE FREKWENSIE 2.2 95 < x 105 15 105 < x 115 27 115 < x 125 43 125 < x 135 52 135 < x 145 28 145 < x 155 21 155 < x 165 10 165 < x 175 4 OGIVE/OGIEF 240 220 200 180 160 140 120 100 80 60 40 20 0 0 20 40 60 80 100 120 140 160 180 200 Time spent on cellphone (3)
Mathematics/P2/Wiskunde/V2 5 DBE/November 2016 2.3 2.4 [9]
Mathematics/P2/Wiskunde/V2 6 DBE/November 2016 QUESTION/VRAAG 3 y B(2 ; 15) // < M C( 4 ; 3) O N < // x A(6 ; 2) 3.1 3.2 (3)
Mathematics/P2/Wiskunde/V2 7 DBE/November 2016 3.3 3.4 3.5 (4) (4) [15]
Mathematics/P2/Wiskunde/V2 8 DBE/November 2016 QUESTION/VRAAG 4 y A N(3 ; 4) M(k ; 0) < O P(0 ; 2) < R x 4.1 4.2 (3) (4)
Mathematics/P2/Wiskunde/V2 9 DBE/November 2016 4.3 4.4 (3) (3) [13]
Mathematics/P2/Wiskunde/V2 10 DBE/November 2016 QUESTION/VRAAG 5 5.1 y O x 17 5.1.1 P( 8 ; t ) 5.1.2(a) 5.1.2(b) 5.2.1 (3)
Mathematics/P2/Wiskunde/V2 11 DBE/November 2016 5.2.2 5.2.3 5.3 (4) (6)
Mathematics/P2/Wiskunde/V2 12 DBE/November 2016 5.4 5.5 (4) (6) [31]
Mathematics/P2/Wiskunde/V2 13 DBE/November 2016 QUESTION/VRAAG 6 y 1.5 1 f 0.5-180 -150-120 -90-60 -30 30 60 90 x g -0.5-1 -1.5 6.1 6.2 6.3 (1) (1) 6.4 6.5 (3) [9]
Mathematics/P2/Wiskunde/V2 14 DBE/November 2016 QUESTION/VRAAG 7 B C A 7.1.1 7.1.2 (6) (4)
Mathematics/P2/Wiskunde/V2 15 DBE/November 2016 A 109,16 90,52 m D 31,23 48,88 B 235 m C 7.2.1 7.2.2 (3) (3) [16]
Mathematics/P2/Wiskunde/V2 16 DBE/November 2016 QUESTION/VRAAG 8 Volume of cone = A 35,5 Total surface area of cone = Volume of cylinder = Total surface area of cylinder = 1,8 m B 0,5 m C 1 Volume van keël = r 2 h 3 2 Totale oppervlakarea van keël = r r s Volume van silinder = r 2 h Totale oppervlakarea van silinder = 2 r 2 2 r h 8.1 8.2 (4) [6]
Mathematics/P2/Wiskunde/V2 17 DBE/November 2016 Give reasons for your statements and calculations in QUESTIONS 9, 10, 11 and 12. Gee redes vir jou bewerings en berekeninge in VRAAG 9, 10, 11 en 12. QUESTION/VRAAG 9 T N R O 60 P S 9.1 9.2.1 9.2.2 [6]
Mathematics/P2/Wiskunde/V2 18 DBE/November 2016 QUESTION/VRAAG 10 E F x + 20 2 1 G 1 2 D 2x + 10 H 10.1 10.2 (4) [6]
Mathematics/P2/Wiskunde/V2 19 DBE/November 2016 QUESTION/VRAAG 11 P 42,83 O N T 9 S 11.1 R 15 11.2 (5) (4) [9]
Mathematics/P2/Wiskunde/V2 20 DBE/November 2016 QUESTION/VRAAG 12 D E F 12.1 (5)
Mathematics/P2/Wiskunde/V2 21 DBE/November 2016 A 3 2 D 3 1 1 2 E 4 3 1 2 2 1 3 C P 3 O 2 1 B 12.2.1 12.2.2 (4) 12.2.3 (5) (4) [18] TOTAL/TOTAAL: 150
Mathematics/P2/Wiskunde/V2 22 DBE/November 2016 Additional space/bykomende ruimte