NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10

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NATIONAL ENIOR CERTIFICATE/ NAIONALE ENIOR ERTIFIKAAT GRADE/GRAAD 0 MATHEMATIC P/WIKUNDE V NOVEMBER 07 MARKING GUIDELINE/NAIENRIGLYNE MARK/PUNTE: 00

1 NATIONAL ENIOR CERTIFICATE/ NAIONALE ENIOR ERTIFIKAAT GRADE/GRAAD 0 MATHEMATIC P/WIKUNDE V NOVEMBER 07 MARKING GUIDELINE/NAIENRIGLYNE MARK/PUNTE: 00 These marking guidelines cnsist f 0 pages. Hierdie nasienriglyne bestaan uit 0 bladsye. Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

2 Mathematics P/Wiskunde V DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne NOTE: If a candidate answered a questin TWICE, mark nly the FIRT attempt. If a candidate crssed ut an answer and did nt red it, mark the crssed-ut answer. Cnsistent accuracy applies t ALL aspects f the marking guidelines. Assuming values/answers in rder t slve a prblem is unacceptable. LET WEL: As 'n kandidaat 'n vraag TWEE keer beantwrd het, sien slegs die EERTE pging na. As 'n kandidaat 'n antwrd deurgehaal en nie rgeden het nie, sien die deurgehaalde antwrd na. Vlgehue akkuraatheid is p ALLE aspekte van die nasienriglyne van tepassing. Dit is naanvaarbaar dat waardes/antwrde vernderstel wrd m 'n prbleem p te ls. QUETION/VRAAG. Median/Mediaan 4. Range/Variasiewydte IQR(IKV Q Q Q Q min. & max./maks. median/mediaan (Q Q and/en Q [0] ( ( Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

3 Mathematics P/Wiskunde V DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG. 0 days/dae. 8 T < The mean/ Gemiddeld (X ,666,67 C days/ dae 4 % f number f days/ getal dae % additin/ptel 0 additin/ptel ( ( ( [7] QUETION/VRAAG. PQ ( x x + ( y y (7 6 + (4 6. M Q ( + ( T ( x; y 6 + x 6 + y 7 7 ; ; 6 + x y 7 x y (; 6 + x y 7 ( Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

4 Mathematics P/Wiskunde V 4 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne. PR ( x p x R + ( y p y R Q ( ,07 OR/OF ( x x Q + (4 + ( y y Q.4..6 ( 6 0 7,07 PR Q 6 mqr 6 0 mr 0 m m QR m m QR R R + ( 6 QR R Rectangle. / Reghek. The diagnals are equal and ne f the interir 0 angles is equal t 90. Die heklyne is gelyk en een van die binneheke is gelyk aan 90. cs RŜQ RŜQ 7,7 m QR m R m m QR R Rectangle/Reghek reasn/rede cs RŜQ answ./antw. ( ( [6] Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

5 Mathematics P/Wiskunde V DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG (a 4ctθ + ctθ 4 0 ctθ 4 diagram r 4.. (b csθ sin θsecθ tan θ LH 9 RH 9 sin θ cs θ. cs0 tan 60 + csec sin 60 csθ 4 simpl./vereenv. and/en and/en Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

6 Mathematics P/Wiskunde V 6 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne 4. 4 sin θ cs7 (0,7986 sin θ 4 θ 6,80 multiplying by/ vermenigvuldig met 4 ( [6] Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

7 Mathematics P/Wiskunde V 7 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG. f shape/vrm x-intercept/afsnit y-intercept/afsnit g shape/vrm x-intercepts/afsnitte y-intercept/afsnit.. Amplitude f/van g.. Range f/waardeversameling van f : y 0 OR/OF y ε [ ;0] (6 ( critical values/kritieke waardes ntatin/ntasie (.. slutins/plssings.. x 80 x 80 ( [] Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

8 Mathematics P/Wiskunde V 8 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG 6 6. θ RQ sin P RP RQ sin 47 RQ sin 47 RQ,6m RQ tan Q,6 tan 7,6 tan 7 4,0 PQ cs 47 PQ cs 47 PQ 4,m P 4, + 7,m QUETION/VRAAG 7 Cpyright reserved/kpiereg vrbehu 7. V π r h 8,8 6,π r 8,8 r 6,π r,cm 7. s h + r s 6, +, s 7,8cm 7. urface area f the slid/buite-ppervlakte (Oppervlakarea van die vaste liggaam π r + π rs π (, + π (,(7,8 8,cm ( trig. rati/trig. verhud trig. rati/trig. verhud PQ 4, m additin/ptel Please turn ver/blaai m asseblief ( [0] ( ( ( [6]

9 Mathematics P/Wiskunde V 9 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG 8 ˆ 8.. O 90 Diagnal bisect at/ Heklyne sny by Lˆ Lˆ Lˆ. 80 ( um f angles f/ m van heke 6 Lˆ + Lˆ 6 diagnals bisect the/ heklyne sny die s. Nˆ + Nˆ pp. s f rhmbus/ teenrst evan die ruit KNM ˆ Given/ Gegee : // Q R. P. T : PM MR Prf/ Bewys : In PM and/ en RMQ.. P R m (alt./ verw. (alt./ verw., P // QR, P // QR. PQR with diagnals/ met heklyne PR and/ en. P QR (pp. sides parm are / teenrst. sye van parm. PM RMQ (AA PM MR and M MQ /R /R /R. /R. /R. /R ( ( ( cngruency/kngruensie (AA OR/OF Given/ Gegee : // R. P. T : QM M Prf/ Bewys : In PQM and/ en RM. P. R Q m PQR with diagnals/ met heklyne PR and/ en (alt./ verw. (alt./ verw., QP // R, R // PQ. PQ R (pp. sides parm are/ teenrst. sye van parm PQM RM (AA QM M and PM MR OR/OF. /R. /R. /R cngruency/kngruensie (AA 8. DB DE DE FC but/ maar FC KC DE KC DB (KC DB 4KC (DE EB (pp. side f/ teenrst. sy van (FK KC (DE FC (DB DE //gram. /R /R /R /R [] Cpyright reserved/kpiereg vrbehu Please turn ver/blaai m asseblief

10 Mathematics P/Wiskunde V 0 DBE/Nvember 07 CAP/KABV Grade/Graad 0 Marking Guidelines/Nasienriglyne QUETION/VRAAG 9 9. In ACG F and/ en H are midpints/is middelpunte (given/gegee FH // CG (midpint therem/middelpuntstelling FE // BC (same straight lines/dieselfde reguitlyne In AGB, H is the midpint/ is die middelpunt HE // BG (prved/ bewys E is the midpint/ is die middelpunt (Line drawn frm midpt f side/ Lyn getrek vanaf midpt van sy, // t nd side/ na de sy 9. 0 AÊH ABˆ C 90 (Crrespnding angle/ Oreenst hek Area/ Oppervl. 9,, AE 8 EH AE AE 7,4cm AB AE 8 AB ,86cm 9. BG 7 cm (midpint therem/middelpuntstelling BC 4 cm Area/ Oppervl. BC AB 4 76cm 76 7 FH // CG midpint therem/ middelpuntstelling reasn/rede AE AB BG 7 (midpt thm/ (middelpuntstelling BCBG4 [9] TOTAL/TOTAAL: 00 Cpyright reserved/kpiereg vrbehu

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 MATHEMATICS P1/WISKUNDE V1 NOVEMBER 017 MARKING GUIDELINES/NASIENRIGLYNE MARKS/PUNTE: 100 These marking guidelines consist of 1