Mathematics Grade 9 Gauteng November 2018 Memo (English)

Downloaded from hlayiso.com testpapers.co.za GAUTENG DEPARTMENT OF EDUCATION GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINCIAL EXAMINATION PROVINSIALE EKSAMEN NOVEMBER 2018 GRADE / GRAAD 9 MATHEMATICS WISKUNDE MARKING GUIDELINES / NASIENRIGLYNE 8 pages / bladsye 1

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 QUESTION / VRAAG 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 1.10 C A C C A C B B C C 1 mark each / 1 punt elk QUESTION / VRAAG 2 2.1 A Answer / Antwoord 1 mark/1 punt 2. 2 Calculation / Berekening: 1mark / 1 punt M Answer / Antwoord: 1 mark/1 punt Decreased amount / verminderde bedrag: CA or / of  CA 2.3.1 ( ) ( )  1 mark for /1 punt vir 1 mark for /1 punt vir 1 mark for dividing /1 punt vir deling  1 mark for answer/ 1 punt vir antwoord M  2.3.2 √ ( ) ( ) ( ) 1 mark for / 1 punt vir  1 mark for answer/ 1 punt vir antwoord  OR/OF OR/OF 1 mark for / 1 punt vir( ) 1 mark for answer/ 1 punt vir antwoord √ ( ) √( )   2

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 2.3.3 ( ) ( ) 1 mark for LCD =15 / punt vir KGD=15  1 mark for simplification /1 punt vir vereenvoudiging  1 mark for answer/ 1 punt vir antwoord  [12] QUESTION / VRAAG 3 3.1 1 mark for / 1 punt vir ( ) A 1 mark for / 1 punt vir ( ) 3.2 1 mark for / 1 punt vir ( ) ( )( ) A 1 mark for / 1 punt vir ( ) 3.3 1 mark for / 1 punt vir ( )1 ( )( ) A 1 mark for / 1 punt vir ( ) [6] QUESTION / VRAAG 4 4.1 1 mark for (L.C.D) / 1 punt vir (KGD) ( ) M 1 mark for simplification / 1 punt vir M vereenvoudiging M 1 mark for simplify / 1 punt vir CA 1 mark for answer/ 1 punt vir antwoord 4.2 M 1 mark for /1 punt vir  1 mark for /1 punt vir CA 1 mark for answer/ 1 punt vir antwoord 4.3 1 mark for factorising/1 punt vir faktorering ( )( ) M 1 mark for answer/ 1 punt vir antwoord OR/OF CA [9] 3

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 QUESTION / VRAAG 5 5.1 M 1 mark for formula / 1 punt vir formule km/h hM 1 mark for substitution / 1 punt vir vervanging kmA 1 mark for answer / 1 punt vir antwoord 5.2 Let / laat 10 boys / seuns 1 mark for calculation / 1 punt vir berekening M 1 mark for calculation / 1 punt vir berekening 1 mark for answer / 1 punt vir antwoord M CA 5.3 ( )  M 1 mark for formula /1 punt vir formule ( )M 1 mark for calculation / 1 punt vir berekening 1 mark for answer / 1 punt vir antwoord CA OR/OF / M M VA 5.4 ( ) M 1 mark for formula / 1 punt vir formule ( ) M 1 mark for substitution / 1 punt vir vervanging CA 1 mark for answer / 1 punt vir antwoord OR / OF ( ) M ( ) M CA [12] 4

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 QUESTION / VRAAG 6 6.1 A 1 mark for / 1 punt vir c 1 mark for substitution into correct formula / ( ) 1 punt vir vervanging in korrekte formule 1 mark for / 1 punt vir A 1 mark for answer / 1 punt vir antwoord A 6.2 1 mark for substitution into correct formula/ M/CA 1 punt vir vervanging in korrekte formule 1 mark for answer / 1 punt vir antwoord CA [6] QUESTION / VRAAG 7 7.1.1 20 learnersA 1 mark for answer / 1 punt vir antwoord 7.1.2 1 mark for the sum divided by 20 / 1 punt vir die som gedeel met 20 1 mark for answer / 1 punt vir antwoord M A 7.1.3 33A 1 mark for answer / 1 punt vir antwoord 7.1.4 M 1 mark for / 1 punt vir 1 mark for answer / 1 punt vir antwoord A 7.2.1 ( ) A 1 mark for answer / 1 punt vir antwoord 7.2.2 ( ) A 1 mark for answer / 1 punt vir antwoord [8] 5

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 QUESTION / VRAAG 8 8.1 Statement / Bewering Reason / Rede 1 mark for statement / punt vir A co-interior & / A bewering ko-binne & 1 mark for reason / punt vir rede 1 mark for answer / punt vir A antwoord A alt. & / verw. & 1 mark for statement / punt vir A bewering 1 mark for reason /punt vir rede 8.2 1 mark for statement and reason / punt vir bewering en rede Statement / Bewering Reason / Rede 1 mark for ̂ / punt vir ̂ ̂ ̂ Suppl. on a str. line / 1 mark for reason / punt vir rede Gegee. op reguit lyn A 1 mark for statement / punt vir ̂ A bewering 1 mark for reason / punt vir rede 1 mark for ̂ ̂ opp. equal sides / op ̂ / punt vir ̂ teenoorgestelde gelyke sye  A ̂ ̂ ̂ A sum of / som van binne A ̂ A 8.3 A 1 mark for answer / punt vir antwoord 8.4 Statement / Bewering Reason / Rede In and 1 for statement and reason / bewering en rede Given diagonals bisect each 1 for statement and reason / other / gegee hoeklyne halveer bewering en rede mekaarA 1 for statement and reason / ̂ ̂ vert. opp / A bewering en rede regoorst. Given diagonals bisect each 1 for reason / rede other / gegee hoeklyne halveer mekaarA A 6

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 8.5.1 1 mark for statement and reason / punt vir bewering en Statement / Bewering Reason / Rede rede and 1 mark for statement and reason / punt vir bewering en given / gegee  rede ̂ ̂ ̂ ̂ 1 mark for statement and common / algemeen  reason / punt vir bewering en rede given / gegee  OR/OF ̂ ̂ both /altwee 1 for statement and reason / punt vir bewering en rede  8.5.2  1 mark for statement / punt vir bewering 1 mark for substitution / punt vir vervanging  1 mark for answer / punt vir antwoord cm 8.6.1 1 mark for construction / A  punt vir konstruksie 1 mark for labelling / punt 6,5 cm 6,5 cm vir benoeming B C  6,5 cm 8.6.2 ̂  1 mark for answer / punt vir antwoord 8.7.1 ( ) 1 mark for answer / punt antwoord 8.7.2 ( ) 1 mark for answer / punt vir antwoord 8.7.3 ( ) 1 mark for answer / punt vir antwoord [29] 7

Downloaded from hlayiso.com MARKING GUIDELINES / Mathematics / Wiskunde NASIENRIGLYNE GRADE / GRAAD 9 QUESTION / VRAAG 9 9.1  1 mark for formula / punt vir cm formule cm 1 mark for answer / punt vir antwoord  cm² 1 mark for formula / punt vir cm² formule 1 mark for answer / punt vir antwoord 9.2  1 mark for formula / punt vir ( ) cm3  formule 1 mark for substitution / punt cm3  vervanging 1 mark for answer / punt vir antwoord [6] TOTAL / TOTAAL [100] 8