Mathematics Grade 10 P1 Gauteng June 2023 Memo (Afrikaans)

Downloaded from hlayiso.com PROVINCIAL EXAMINATION PROVINSIALE EKSAMEN JUNE/JUNIE 2023 GRADE/GRAAD 10 MARKING GUIDELINES/ NASIENRIGLYNE MATHEMATICS/WISKUNDE (PAPER/VRAESTEL 1) 6 pages/bladsye NOTE/LET WEL:  If a candidate answers a question TWICE, mark only the FIRST attempt. As ʼn kandidaat ʼn vraag TWEE keer beantwoord, merk slegs die EERSTE poging.  If a candidate crossed out an answer and did not redo it, mark the crossed-out ʼn kandidaat ʼn antwoord deurgehaal het en dit nie oorgedoen het nie, merk die deurgehaalde antwoord.  Consistent accuracy (CA) applies to ALL aspects of the marking guidelines. Konsekwente akkuraatheid (CA) is van toepassing op ALLE aspekte van die nasienriglyne.  Assuming values/answers in order to solve a problem is unacceptable. Om waardes/antwoorde te neem om ʼn probleem op te los is onaanvaarbaar.

Downloaded from hlayiso.com MARKING GUIDELINES/ MATHEMATICS/WISKUNDE NASIENRIGLYNE (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 1 1.1 – 81 < – 69 < – 64   – 81 and – 69 in correct order/ – 81 en – 69 in korrekte volgorde –9 < 69 < –8   between –9 and –8/tussen –9 en –8 NO MARK for answer only/ GEEN PUNT vir slegs antwoord nie (2) 1.2 Let/Stel 0,9 =   Let/Stel 0,9 = 10x = 9,9 10x – x = 9,9 – 0,9   correct subtraction/korrekte aftrek  Simplification/Vereenvoudiging 9x = 9  NO MARK for answer/ x=1 GEEN PUNT vir antwoord nie (3) [5] QUESTION/VRAAG 2 2.1 3x2 + 9x – 2xy – 6y = 3x(x + 3) – 2y (x + 3)   grouping and factorising/groepering en faktorisering = (3x – 2y)(x + 3)   common factors/gemeenskaplike faktore (2) 2.2 2.2.1 m 2  64 m 8 2  m  8m m ( m  8)( m  8) m  (m – 8)(m + 8) factorising numerator/ =    faktoriseer teller m( m  8) ( m  8)  m(m + 8) factorising denominator/ faktoriseer noemer =1 m  inverting/resiprook ( m  8)  answer = 1/antwoord = 1 (4) 2

Downloaded from hlayiso.com MARKING GUIDELINES/ MATHEMATICS/WISKUNDE NASIENRIGLYNE (PAPER/VRAESTEL 1) GRADE/GRAAD 10 2.2.2 2 n 1.8 n 1 16 n 2 n 1.2 3n  3  23n + 3 = 2 4 n  24n = 2n – 1 + 3n + 3 – 4n = 22 =4  answer/antwoord (3) [9] QUESTION/VRAAG 3 3.1 (a + 1)(a2 + 2a – 3) = a(a2 + 3a) a3 + 3a2 – a – 3 = a3 + 3a2   a3 + 3a2 – a – 3 (correct multiplication of LHS/korrekte vermenigvuldiging van LK) –a – 3 = 0  a3 + 3a2 (correct multiplication of RHS/ a = –3 korrekte vermenigvuldiging van RK) answer/answer (3) 3.2 2x2 + x –3= 0 (2x + 3)(x – 1)   factors/faktore x = – 23 or/of x = 1   both answers/beide antwoorde (2) 3.3 3  2x –1 < 7 4  2x < 8   Add 1 to each side/Tel 1 beide kante op 2x<4  CA Divide by 2/Deel deur 2 (2) 3

Downloaded from hlayiso.com MARKING GUIDELINES/ MATHEMATICS/WISKUNDE NASIENRIGLYNE (PAPER/VRAESTEL 1) GRADE/GRAAD 10 3.4 3x + y = 272 2y = 4x + 1 x+y=6  equation 1/vergelyking 1  equation 2/vergelyking 2 y = 2x + 2  x + 2x + 2 = 6  x = 43 x = 43  y = 2  43  + 2  y = 14 3 OR/OF 4 3 2 y = 14 3  (4) [11] QUESTION/VRAAG 4 4.1 4.1.1 ;x0   x0 (2) 4.1.2 y  [–2 ; )  values/waardes OR/OF  notation ONLY if values are y  –2 correct/notasie SLEGS as waardes korrek is (2) 1 4.1.3 y = 1  Answer/Antwoord 2 (1) 4.2 x-int, let y = 0/x-afsnit, stel y = 0 2x2 – 2 = 0 y=0 2x2 = 2  BOTH x-values /BEIDE x = 1 x-waardes AB = 2 units  AB = 2 (3) 4

Downloaded from hlayiso.com MARKING GUIDELINES/ MATHEMATICS/WISKUNDE NASIENRIGLYNE (PAPER/VRAESTEL 1) GRADE/GRAAD 10 4.3 Subst/Vervang (–2 ; 6) k 3 6=– +  substitute/vervang (–2;6) 2 2 12 = k + 3  simplify/vereenvoudig k=9 NO MARK FOR k = 9/ 9 1 GEEN PUNT VIR k = 9 g(x) = +1 x 2 (2) 1 x 4.4 y=x+1 2  + 1,5 (2) 4.5 4.5.1 –2 < x < 0  values/waardes OR/OF  notation ONLY if values are x  (–2 ; 0) correct/notasie SLEGS as waardes korrek is (2) 4.5.2 x > 0  Answer/Antwoord (1) 4.6 Reflection about the y-axis and translated 5 units down  reflection about the y-axis/ Refleksie oor die y-as en transleer 5 eenhede afwaarts Refleksie oor die y-as OR/OF  translate 5 units down/ transleer 5 eenhede afwaarts Reflection about the x-axis and translate 2 units down Refleksie oor die x-as en transleer 2 eenhede afwaarts OR/OF  reflection about the x-axis/ Refleksie oor die x-as  translate 2 units down/ transleer 2 eenhede afwaarts (2) [17] 5

Downloaded from hlayiso.com MARKING GUIDELINES/ MATHEMATICS/WISKUNDE NASIENRIGLYNE (PAPER/VRAESTEL 1) GRADE/GRAAD 10 QUESTION/VRAAG 5 5.1 x-int let y = 0 / x-afsnit, stel y = 0 y=0 2x – 4 = 0 2x = 4 2x = 22 x=2 x=2 (2) 5.2 y-int let x = 0 / y-afsnit , stel x = 0 y = 20 – 4 y=1–4 y = –3  y = –3 (1) 5.3  x and y-intercepts/ x en y-afsnitte  asymptote/ asimptoot  ordered pair (1;–2) OR (3;4) getallepaar (1;–2) OF (3;4) (3) 5.4 (0 ; –3)  x-coordinate/ x-koördinaat  y-coordinate/ y-koördinaat (2) [8] TOTAL/TOTAAL: [50] 6