NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10

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Marjorie Mathews
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GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 100 These marking

1 NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 MATHEMATICS P1/WISKUNDE V1 NOVEMBER 017 MARKING GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 100 These marking guidelines consist of 1 pages. Hierdie nasienriglyne bestaan uit 1 bladsye.

2 Mathematics P1/Wiskunde V1 DBE/November 017 NOTE: If a candidate answered a question TWICE, mark only the FIRST attempt. If a candidate crossed out an answer and did not redo it, mark the crossed-out answer. Consistent accuracy applies to ALL aspects of the marking guidelines. Assuming values/answers in order to solve a problem is unacceptable. LET WEL: As 'n kandidaat 'n vraag TWEE keer beantwoord het, sien slegs die EERSTE poging na. As 'n kandidaat 'n antwoord deurgehaal en nie oorgedoen het nie, sien die deurgehaalde antwoord na. Volgehoue akkuraatheid is op ALLE aspekte van die nasienriglyne van toepassing. Dit is onaanvaarbaar dat waardes/antwoorde veronderstel word om 'n probleem op te los. QUESTION/VRAAG q q q b ( 1) 33 4ac 4( 4) subst./verv. answ/antw 1.1. Irrational/Irrasioneel answ/antw and/en 6 answ/antw t ( r s) r + s t ( r s) ( r s) ( r s)( t 1) ( r s)( t 1)( t + 1) 3 x + 1 x x + 1 ( x + 1)( x x + 1) x x + 1 x + 1 grouping/ groepering factors/faktore difference of two squares/ verskil van twee kwadrate factors/faktore answ/antw () ()

3 Mathematics P1/Wiskunde V1 3 DBE/November (y + 3)(7y 6y 8) y 14y 3 3 1y 16y + 1y + 9y 34y x 9 ( x 3) 3 + ( x 3)( x + 3) ( x 3) 3( x 3) + ( x + 3) ( x 3) ( x + 3) 3x 9 + x + 6 ( x 3) ( x + 3) 5x 3 ( x 3) ( x + 3) t t 3 3 t t.3 3 t 3 (1 3 ) t 3 ( 1) y 4 simpl./vereenv answ/antw LCD/KGN simpl./vereenv answ/antw factors/faktore simpl./vereenv answ/antw () [17]

4 Mathematics P1/Wiskunde V1 4 DBE/November 017 QUESTION/VRAAG x < 16 x < 1 x > 6 simpl./vereenv answ/antw (). OR x 4y 4... x y 10...() 3x 4y 4... () 4 : 8x + 4y :11x 44 x 4 substitute x 4 into () ( 4) y 10 y multipl/maal () by/met 4 adding/tel op & x-value/waarde y-value/waarde (4) From(): y x subst. into :3x 4( x 10) 4 3x + 8x x 44 x 4 subst. x 4 into : y ( 4) 10 y equation/verg x-value/waarde y-value/waarde (4) x ( x 5) x 5x 6 0 ( x 6)( x + 1) 0 x 6 or x 1 c a + x c a + x stand. form/-vorm factors/faktore squaring/kwadrering x c a c a x ()

5 Mathematics P1/Wiskunde V1 5 DBE/November Let Linda's age now be x/laat Linda se ouderdom nou x wees Therefore Tabelo's age is 4x/Dus is Tabelo se ouderdom 4x 6 years/jaar later: Linda s age will be:/ Linda se ouderdom sal wees: x + 6 Tabelo's age will be:/ Tabelo se ouderdom sal wees:4x + 6 4x + 6 3( x + 6 ) 4x 3x 18 6 x 1 Linda's age/ Linda se ouderdom is1 years/ jaar 4x x + 6 equating/verg. (4) [16]

6 Mathematics P1/Wiskunde V1 6 DBE/November 017 QUESTION/VRAAG b The sequence is linear/hierdie ry is lineêr: T n pn + q. Tn 3n + q T 3n T T n T n n + 3(15) + 47 T n 3n n + 3n 81 n Sum of the terms in rows/som van terme in ry: ; 16 ; 54 ; 18 ;. Row/Ry 1: x 1 Row/Ry : x 8 16 Row/Ry 3 : x 7 54 Row/Ry 4 : x Row/ Ry n : n Row/Ry 8 (8) n T 83 n gen./alg. term () () () () Pattern for the first terms in rows/patroon van die eerste terme in rye: ; 6; 14 ; 6 ; ; 4+ ; 4+4()+ ; 4+4()+4+ ;. T 8 4( ) Sum of the terms in row 8/ Som van terme in ry T sum of terms in row/som van terme in ry 8

7 Mathematics P1/Wiskunde V1 7 DBE/November (0) Mean in row/gemiddeld in ry () First term of row/eerste term in ry 0: T 0 4( ) + 76 Sum of termsin row/ Som van terme in ry Mean/ Gemiddeld () [13]

8 Mathematics P1/Wiskunde V1 8 DBE/November 017 QUESTION/VRAAG Prt SI , R5670,00 A P(1 + i.n) 18000(1 + 0, 045 7) R3670 Interest/ Rente R5670 n A P(1 + i ) R7660 P(1 + 0,067) 7660 P 5 (1 + 0,067) P R0000 A P(1 + i.n) (1 + i 7) i i i 0, Simple interest rate should have been/ Eenvoudige rente moes wees 7,67% Pound/ Pond Dollar 1 $1,8 5 R16,5 R1,91 R3 670 R5 670 in correct formula/ korrekte formule simpl./vereenv simpl./vereenv proportion/verhouding 1 $ 1,8 () () () Dollar Pound/ Pond $1 0,78 R1,91 R16,5 proportion/verhouding $1 0,78 () [10]

9 Mathematics P1/Wiskunde V1 9 DBE/November 017 QUESTION/VRAAG Range of/waardeversameling van g : y 8 5. x 5.3 g( x) ax + 8 q 8 q 8 ( ; 0) g() a() a a 5.4 f ( x) mx + c c 8 c 8 f ( ) m subst./verv. ( ; 0) m 4 m 4 f ( x) 4x x or x 0 x x 0 () 5.5. x. g( x) 0 x 0 x 0 or x or x 5.6 h ( x) ( x + 8) h( x) x 8 x 8 () [15]

10 Mathematics P1/Wiskunde V1 10 DBE/November 017 QUESTION/VRAAG The range/waardeversameling van is y > x p ( x) k + q x p( x) k 9 0 k 9 k 9 k ± 3 k 3since k > 0 x p( x) 3 9 q 9 subst/verv. ( ; 0) k 3 asymptote/asimptoot intercepts/afsnitte shape/vorm

11 Mathematics P1/Wiskunde V1 11 DBE/November w k f ( x) 1 x k 7 1 k 16 f ( x) g( x) 16 1 x 1 x x 16 0 ( x 4)( x + 4) 0 x Q 4 or x P 4 ( ; 7) equating/verg. simpl./vereenv x -4 at/by P x 4 at Q < x < 0 or x > 4 4 < x < 0 x > 4 () (4) () [16]

12 Mathematics P1/Wiskunde V1 1 DBE/November 017 QUESTION/VRAAG P( A) + P( B) P( A and B) P( B) P( A ) 0,35 S 150 S B x x (a) 7..3 (b) x x 114 Smartphone only/ Slegs slimfoon P ( S only/ slegs) 0, P( S or/ of T or neither/ of geeneen) , (4) equation/verg. value/waarde of/van x addition/optel () [13] TOTAL/TOTAAL: 100

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 MATHEMATICS P2/WISKUNDE V2 NOVEMBER 2016 MEMORANDUM MARKS/PUNTE: 100 This memorandum consists of 10 pages. Hierdie memorandum bestaan