NATIONAL SENIOR CERTIFICATE GRADE 10 GRAAD 10
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1 NATIONAL SENIOR CERTIFICATE GRADE 0 GRAAD 0 MATHEMATICS AER WISKUNDE VRAESTEL MEMORADUM NOVEMBER 07 MARKS/UNTE: 00 This memorandum consists of 9 pages/hierdie memo bestaan uit 9 bladsye NOTE: If candidate answer a question twice mark the first attempt only Consistent accuracy applies in ALL aspects of the marking memorandum If candidate crossed out an answer and did not redo it, mark the crossed answer Assuming values/answers in order to solve a problem is unacceptable As n kandidaat n vraag twee keer beantwoord, merk slegs die eerste poging CA (deurlopende akkuraatheid) geld te alle tye Copyright reserved lease turn over
2 Mathematics /Wiskunde V LimpopoDoE/November 07 As n leerder n vraag doodgetrek het, maar nie oorgedoen het nie, moet die doodgetrekte antwoord gemerk word Veronderstelling van antwoorde om n probleem op te los, is onaanvaarbaar QUESTION/VRAAG (x+7 ) ( x+4 ) (x+7 ) ( x+4 ) () y x 6 y (x 8) y [(x 9)(x+9)] y( x 8) y [(x 9)(x+9)] () (x )( x x+4 ) x x ( x +4 ) ( x x +4) x x +4 x 6 x + x 8 x x +4 x 6 x +x 8 x 7 x +6 x 8 () x 7 x +6 x 8 b 4 b b + b+ b 4 (b 4)(b+) + b+ (b+ ) ()+(b 4) (b 4)(b+) 6 (b ) (b 4)(b+) ()a+ ( ) a ( ) +a a+ a + a 4 + a a+ 4 a a+ + a QUESTION/VRAAG b+ (b 4) )factors/faktore (b+ ) ()+(b 4) b+ LCD: (b 4) ) 6(b ) (b 4)(b+) (4) a+ a a+ 4+ a a+ 4 a a+ + a < 8 and/en () xb xa ab xb xa ab () [8] lease turn over/blaai asseblief om
3 Mathematics /Wiskunde V LimpopoDoE/November 07 x (b a ) ab x (b a )ab x ab b a x 8 8 x ab b a () x x x<7 x < 6 x< x () simplification( both sides / vereenvoudig ( albei kante ) simplification ( divide by / vereenvoudig ( deel met ) x< correct number-line/ y x () 6 x+7 y () korrekte grafiek subject of formula/ y onderwerp van formule () into/in () y x 6 x+7 ( x ) 6 x+ 4 x 0 6 x+7 ( x ) 8 x+0 8 x x4 If/as x4 : () y (4) x4 y y OR/OF () x+ y () () () 6 x+7 y ():6 x+ y () ():4 y ():6 x+ y () ():4 y y substitution/vervang lease turn over/blaai asseblief om
4 Mathematics /Wiskunde V 4 LimpopoDoE/November 07 y If /as y :(): x +( ) x8 x4 x4 () [] QUESTION/VRAAG 0 answer/antwoord attern/patroon:+ ; 6 + ; 9 + ; + ; attern/patroon: () + ; () + ; () + ; (4) + ; correct method/metode answer/antwoord 4 T n n+ T 9 (9)+ T 9 87 n+ n n 0 n0 T n n T n n n+ answer/antwoord substitution /vervang simplification/vereenvoudig answer /antwoord () answer/antwoord () answer /antwoord () [] QUESTION/VRAAG 4 4 A(+i ) n 000(+0,0) (, 0) 7 R 0, formula/formule substitution of A, i and n/ vervanging simplification/vereenvoudig answer/antwoord () lease turn over/blaai asseblief om
5 Mathematics /Wiskunde V LimpopoDoE/November 07 4 Cost of 400 ounce of platinum / Koste van 400 onse platinum 400 $ 4,0 $ Value of $ in rand / waarde van $ in rand R6, R , $ 4,0 $ R ,64 () [8] QUESTION/VRAAG x and/en y or/of (;) 4 x values between, and, / x-waardes tussen, and, and y values between,7 and,9 / y-waardes tussen,7 and,9 0< x < or /of xε(0,) x<, to, shape of f /vorm van f shape of g / vorm van g x intercept /x-afsnit y intercept/y-afsnit asymptotes /asimptote (6) (;) x, to, y,7 to,9 (4) answer/antwoord answer /antwoord () h( x) x + answer/antwoord () [] QUESTION/VRAAG 6 6 x int /x-afsnit (f ( x)0 ) x 80 x 4 x 80 B( ;0 ) lease turn over/blaai asseblief om
6 Mathematics /Wiskunde V 6 LimpopoDoE/November 07 x± 4 x or/of x C( ;0) 6 6 B( ;0 ) and/en C( ;0 ) y int /y-afsnit: ( x0 ) yf (0 ) y (0) 8 y 8 A(0 ; 8 ) c m y y x x m 0 0 m x 8x+ x x 00 ( x )( x+)0 x or/of x y (0) 8 A (0 ; 8 ) () c ing answer /antwoord () equating f and g/stel f g standard form/standaardvorm factors/faktore x values/x-waardes x : g( ) + D( ; 9 ) or 9 or 4 D( ; 4 ) 64 If line C// line BD, then As lyn C lyn BD, dan m C m BD / m c m BD m C D( ; 9 ) or () m C D( ; 4 ) y y C m C ( x x C ) y 0 (x ) formula/ formule lease turn over/blaai asseblief om
7 Mathematics /Wiskunde V 7 LimpopoDoE/November 07 yx answer /antwoord (4) [7] QUESTION/VRAAG Let the number of learners taking Mathematics and Accounting be x / Stel leerders wat Wisk en Rek neem x ( x)+x +( x)+0 x8 OR ( x)+x +( x)4 x8 A M equation / vergelyking answer/antwoord () equation/vergelyking answer/antwoord () 4 () (not Mathematics ) ( Mathematics) / (nie Wisk) - (Wisk) or 0,8 (not Mathematics ) (niewisk ) 0, or ( Accounting only slegs Rek ) 4 or 0,8 0 (A or B) (A) + (B) (A and B) 0, + 0,48 0 answer /antwoord () answer /antwoord () answer /antwoord () formula lease turn over/blaai asseblief om
8 Mathematics /Wiskunde V 8 LimpopoDoE/November ,8 answer /antwoord () (A or B) (A) + (B) (A and B) 0, + 0,48 0, 0,7 answer /antwoord () [4] TOTAL/TOTAAL: 00 lease turn over/blaai asseblief om
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