JAARLIKSE NASIONALE ASSESSERING GRAAD 8 WISKUNDE EKSEMPLAAR MEMORANDUM
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1 Page 1 10 JAARLIKSE NASIONALE ASSESSERING GRAAD 8 WISKUNDE EKSEMPLAAR MEMORANDUM PUNTE: 15 Hierdie eksemplaar memorandum bestaan uit 10 bladsye. Belangrike Inligting Hierdie is n nasienriglyn. Waar leerders verskillende, maar logiese strategieë gebruik het om probleme op te los, moet hulle (leerders) krediet daarvoor kry. Tensy anders vermeld, moet leerders wat slegs antwoorde gee, volpunte kry. Onderstreep foute wat die leerling gemaak het en pas konsekwente akkuraatheid (KA) toe. M KA A SLEUTEL Metode punt Konsekwente Akkuraatheidspunt Akkuraatheidspunt VRAAG C 1. B 1. C 1.4 B 1.5 B 1.6 B 1.7 A 1.8 D 1.9 B 1.10 D Gee 1 punt vir elke korrekte antwoord. [10] VRAAG is ongedefinieerd 1 = 4 1., = = = = = 7.. GGGGGG/GGGGGG = 7 = 8 GGGGGG/GGGGGG = 7 = 8 1 Priemfaktore van 140: 1 punt Priemfaktore van 168: 1 punt 1 Grade 8 Mathematics Afrikaans Exemplar Memo 1
2 Page 10.4 Spoed = Tyd = 80 kkkk 4 uuuuuu 570 kkkk 95 kkkk/h = 95 kkkk/h Tyd = 6 ure 570 kkkk 95 kkkk/h : 1 punt Afstand (km) Tyd (h) xx xx = xx = 4 xx = 6 Tyd = 6 h xx = 570 : 1 punt ; 10 ; 16 ; ; (4 1) ( ) = = : 1 punt : 1 punt Slegs antwoord: 1 punt 144: 1 punt = M = 148 4: 1 punt Slegs antwoord:1 punt = = M = 9 8 = = = : 1 punt : 1 punt Slegs antwoord: 1 punt = 5 8 = = : 1 punt = 7 5 = 1 5 Slegs antwoord:1 punt Grade 8 Mathematics Afrikaans Exemplar Memo
3 Page = : 1 punt = 9 = 4 1 Slegs antwoord: 1 punt.6.6 0% vvvvvv R0,00 = RR0, R0,00 = RR66,00 = RR66, ,18 0,0 + 0,0 0,18 0,0 + 0,0 = 0, ,0 = = 0,084 =.7 Nagtemperatuur = 9 CC 16 CC = 7 CC ,0 + 0,0 = 0, RR0,00: 1 punt Slegs antwoord: 1 punt 0,0084: 1 punt 84 : 1 punt Slegs antwoord: 1 punt 9 CC 16 CC: 1 punt Slegs antwoord: punte.8 Breukdeel van Afrika vroue = = 5.9 ER = = PP nn ii 100 RR M = R 40,00 AA = PP(1 + nnnn) Korrekte formule en substitusie: punte = R4 500( ) RR4 500( ,1) = R4 500(1,5) = R6 840,00 Rente = R6 840,00 R4 500,00 = R 40,00 [1] Grade 8 Mathematics Afrikaans Exemplar Memo
4 Page 4 10 VRAAG ; 45 8: 1 punt 45: 1 punt : 1 punt :1 punt 1.. 8xx + xx xx 7 8xx = = = 6 = 8. bb aa cc + aa 4bb + cc bb aa cc = aa bb + cc M 4bb + aa + cc xx (5xx xx) = 0xx 4 + 1xx M.4. 8aa + 16aa 4 aa aa = 8aa + 16aa 4aa aa aa aa = 4 + 8a aa M.4. (xx)(xx) + xx( xx) = xx xx M = 5xx aa bb + cc xx 16 5xx 4 16xx 16 5xx 4 = 4xx 8 5xx = 400xx 0 = 0xx 10 = 0xx : 1 punt aa: 1 punt bb: 1 punt c: 1 punt 0xx 4 : 1 punt 1xx : 1 punt 4: 1 punt 8aa: 1 punt aa : 1 punt xx : 1 punt xx : 1 punt 5xx : 1 punt 4xx 8 : 1 punt 5xx : 1 punt 0xx 10 : 1 punt 400xx 0 : punt 0xx 10 : 1 punt Grade 8 Mathematics Afrikaans Exemplar Memo 4
5 Page ( xx + 1) = 10 ( xx + 1) = 10 xx + = 10: 1 punt xx + = 10 xx + 1 = 5 xx = 8: 1 punt xx = 8 xx = 4 xx = 4 Slegs antwoord: punte.5. xx + xx = xx = xx = 1 xx = 1 xx = 1: 1 punt xx = 1 xx = 1 Slegs antwoord: volpunte.6 Laat John se ouderdom = xx jaar xx + xx = 96: 1 punt Dan is Thabo se ouderdom = xx jaar Waarde van xx: 1 punt xx + xx = 96 Thabo se ouderdom: xx = 96 xx = 1 punt Slegs antwoord: Thabo se ouderdom = 64 jaar punte yy = xx yy = maal xx yy = xx 1.7. aa = 7 bb = 0 aa = 7: 1 punt bb = 0: 1 punt [] Grade 8 Mathematics Afrikaans Exemplar Memo 5
6 Page 6 10 VRAAG Bewering Rede BB 1 = 5 Regoorstaande e BBCC FF = BB = 5 Verwisselende e en BBBB CCCC BB 1 = 5 : 1 punt Korrekte rede: 1 punt BBCC FF = BB 1 = 5 BB = 145 BBCC FF = 5 Ooreenk. e en BBBB CCCC Aangrensende supplementêre e e op n reguit lyn AABB CC is n gestrekte Ko-binne ee en BBBB CCCC BBCC FF = 5 : 1 punt Korrekte rede: 1 punt 4 4. Bewering Rede TT 1 = 60 e van n gelyksydige gelyk TT = 10 Aangrensende supplementêre e e op n reguit lyn TT 1 = 60 :1 punt TT = 10 : 1 punt PPTT NN is n gestrekte 4 Buite van AAAAAA Grade 8 Mathematics Afrikaans Exemplar Memo 6
7 Page Bewering Rede EEFF GG = Ko-binne e en DDDD GGGG = 4 FF = FF 1 = 1 Hoeklyne van ruit halveer hoekpunt e EEFF GG = 4 : 1 punt FF = 1 : 1 punt 4.. GG = EE = 156 GG + FF 1 + FF = 180 Teenoorstaande e van ruit gelyk GG = 156 : 1 punt GG = Ko-binne e en DDDD EEEE GG = DDDD KKKK = EEEE LLLL = DDDD KKKK 14 = xx 7 1 xx = 4 cccc KKKK: 1 punt 1: 1 punt 4.4. Bewering AAAA = BBBB DD 1 = BB BBBB = BBBB Rede Teenoorstaande sye van n parallelogram Verwisselende e en AAAA BBBB Gemeenskaplike sy BBBB: 1 punt BB : 1 punt AAAAAA CCCCCC s s CCCCCC: 1 punt 4 [1] Grade 8 Mathematics Afrikaans Exemplar Memo 7
8 Page 8 10 VRAAG AAAA = (5 + 1 ) cccc (Pythagoras) AAAA = ( ) cccc KA AAAA = 169 cccc AAAA = 169 cccc AAAA = 1 cccc KA Radius (r) = 1 cccc = 6 cccc Oppervlakte van sirkel = ππ rr =,14 6 cccc KA = 11,0 cccc Korrekte bewering met rede: 1 punt Berekeninge: punte 4 Radius = 6 cccc: 1 punt Korrekte formule en substitusie: punte Omtrek van halfsirkel = ππππ + AAAA ππππ + AAAA = ππ dd + AAAA =,14 6 cccc + 1 cccc =, cccc = 0,8 cccc CA = 0,8 cccc CA 5. Volume = Oppervlakte van basis Hoogte = 1 (bb h) HH bb h HH = 1 ( 9 1) 0 mm = mm = mm = mm As antwoord = 11,1 cccc : punte Korrekte formule en substitusie ππππ : 1 punt AAAA = 1 cccc: 1 punt Antwoord :1 punt Korrekte formule:1 punt Substitusie: 1 punt [14] Grade 8 Mathematics Afrikaans Exemplar Memo 8
9 Page 9 10 VRAAG Omvang = 45 1 = Modale punt = Modus = Gemiddeld = ssssss vvvvvv pppppppppp aaaaaaaaaaaa llllllllllllllll = = 6, : 1 punt Slegs antwoord: punte Orden punte: 1 punt Mediaan = 6 Aantal tellings = 11 Mediaan = 6 de telling = Woensdag 6.. Donderdag 6.. Temperatuur verminder/val/kouer/laer [9] Grade 8 Mathematics Afrikaans Exemplar Memo 9
10 Page VRAAG AAAAAA en BBBBBB 7. AA 1 = (DDAA BB AA ) = 0 TT 1 + DD = 150 (som van ee van AAAAAA = 180 ) DD = TT 1 = 75 ( ee teenoor gelyke sye van ) 7. TT 1 = TT = 75 (ooreenkomstige ee van gelykbenige ) TT 4 = (omwenteling) = 150 DD 1 = (AADD CC DD ) = 15 CC 1 = = 15 TT 4 = (som van ee van = 180 ) = 150 elk AA 1 = 0 : 1 punt TT 1 + DD = 150 : 1 punt TT 1 = TT = 75 : 1 punt [7] TOTAAL: 15 Grade 8 Mathematics Afrikaans Exemplar Memo 10
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