NATIONAL SENIOR CERTIFICATE GRADE 12

Transcription

1 Mathematics P Grade 0 LimpopoDoE/ November 08 NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P MARKING GUIDELINES NOVEMBER 08 MARKS: 00 This marking guideline consists of 0 pages.

2 Mathematics P Grade 0 LimpopoDoE/ November 08 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 memorandum. Assuming values/answers in order to solve a problem is unacceptable. QUESTION... 0;;;;4; answer / antwoord.. answer / answers / antwoorde. Let/stel = n substitution nn n n simplifying answer/antwoord n n n n n n n n 5 antwoord [9] QUESTION. n y n m n n y m m y y m n n y m y m

3 Mathematics P Grade 0 LimpopoDoE/ November 08. y y 9 y 9 y y y y 9 8 y y 9 4 y y y 8 y y 8. y y y y y y y y y y y y y y y y y factorisation y y LCM : y y y Simplify answer/antwoord [] Question /Vraag. y 4 in substitute/vervang ( 4) ( 4) 4 simplifying 6 8 in : y y 4 8;4 8 substitute/vervang 8 y 4 (5) [5]

4 Mathematics P Grade 0 4 LimpopoDoE/ November 08 Question 4/ Vraag base both sides/ grondtal 00 beide kante standard form = 0/ Standaardvorm = p q a ( p q) a a p q subtract both sides/ aftrekking beide kante answer/antwoord inequality sign answer on number line / antwoord op getallelyn factorisation/ faktoriseer answer/ antwoord [0]

5 Mathematics P Grade 0 5 LimpopoDoE/ November 08 Question 5/Vraag 5 n5 5.. Tn n 5 n 4 T 5 T ; ; 0; p q n 55 7 n n T T 5 n k 7 m 5 k 7 m answer/ antwoord 5.. Tn an b Tn n formule a = b = n equating 06 in 05 n 5 n simplifying answer []

6 Mathematics P Grade 0 6 LimpopoDoE/ November 08 Vraag 6/ Question ,58 R ,00 R,58 multiplication answer/antwoord 6.. Deposit/deposito: =5% R999 R599,85 Total Payments: =deposit 4R70 R599,85 R4080 R4679,85 I R4679,85 R999 R680, P R99,5 Deposit/deposito Total repay/totale terugbetaling answer R answer/antwoord 6.. A R70 4 R4080 A P( i. n) ,5( i ) 4080 i 99.5, 00 i i i ,005 rentekoers/interest rate =0% formula/formule correct substitution in correct formula simplification/vereenvoudiging 0% answer/antwoord [4]

7 Mathematics P Grade 0 7 LimpopoDoE/ November 08 Vraag 7/ Question 7 7. R(; 8) a f( ) a 8 a 6 6 f( ) answer/antwoord 7. y en/and 6 y y 4 B(4; 4) 4 y= ( 4) 4 A( 4;4) equating f ( ) g( ) B(4; 4) Substituting A( 4;4) 7. y p B(4; 4) 4 p 4 6 p p 4 g( ) 4 substitution B(4; 4) in correct formula simplification value a 4 equation

8 Mathematics P Grade 0 8 LimpopoDoE/ November ;, 0 0 ; 7.5 y answer/antwoord 7.6 y y m 4 ( 8) = 4 6 m R(; 8) and B( 4;4) formula correct substitution answer/antwoord 7.7 Domain : R Range : y 0 or y ( ;0] R y 0 [7] Vraag 8/ Question y 5 y (0;) substitute 0 answer/antwoord 8. f: asymptote y 0 ( ais) answer/antwoord

9 Mathematics P Grade 0 9 LimpopoDoE/ November f g (-;5) g (0;5) (0;) (; 5 ) f( ) 5 (0;) (form/vorm) (-;5) / or other coordinate on the graph g( ) 5 (0;5) form/vorm 0 (6) 8.4. y 0 answer/antwoord 8.4. y 5 answer/antwoord [] Vraag 9/Question 9 9. S 4-Korrek/Correct = 4 marks TV R : Korrek/Correct = marks : Korrek/Correct = marks korrek/correct = marks answer

10 Mathematics P Grade 0 0 LimpopoDoE/ November answer answer 9.4 No 6 students read and watch TV answer [9] Vraag 0/Question 0 0. P( A and B) 0 Answer 0. P (A or B) / PA ( of B) = P( A) P( B) 4 7 P( A) P( B) 7 [] TOTAL:00