|
|
- Adele Reynolds
- 5 years ago
- Views:
Transcription
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22 NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 0 MEMORANDUM MARKS/PUNTE: 0 This memorandum consists of 3 pages. Hierdie memorandum bestaan uit 3 bladsye. Please turn over/blaai om asseblief
23 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum NOTE: If a candidate answers a question TWICE, only mark the FIRST attempt. If a candidate has crossed out an attempt of a question and not redone the question, mark the crossed out version. Consistent accuracy applies in ALL aspects of the marking memorandum. Assuming answers/values in order to solve a problem is NOT acceptable. NOTA: As 'n kandidaat 'n vraag TWEEKEER beantwoord, merk slegs die EERSTE poging. As 'n kandidaat 'n poging om die vraag te beantwoord, doodgetrek het en nie dit oorgedoen het nie, merk die doodgetrekte poging. Volgehoue akkuraatheid word in ALLE aspekte van die nasienmemorandum toegepas. Aanvaarding van antwoorde/waardes om 'n probleem op te los, is ONaanvaarbaar. QUESTION/VRAAG x σ 8, answer/antw.3 (68 8, ; ,) (9,8 ; 86,) 6 candidates had a mark within one standard deviation of the mean/6 kandidate het 'n punt binne een standaardafwyking vanaf die gemiddelde.. a,88...,83 b 0, ,66 y ˆ 0,66x +, 83 yˆ,83+ 0, 66x. y ˆ 0,66x +, 83 y 0,66(60) +,83 6,3...% 6% 6,69% 63% interval answer/antw () () (3) value of a/ waarde van a value of b/ waarde van b equation/vgl (3) subs of 60 into equation answer/antw () answer/antw ().6 (8 ; 6) answer/antw () [] Please turn over/blaai om asseblief
24 Mathematics P/Wiskunde V 3 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG. 0 < x 60 0 x < 60 between 0 and 60/tussen 0 en 60.. Class Klas.. Frequency Frekwensie 0 < x < x < x < x < x < x < x < x Cumulative frequency Kumulatiewe frekwensie answer/antw 8 () () grounding at (0 ; 0)/ anker by (0 ; 0) plotting at upper limits/ plot by boonste limiete smooth shape of curve/gladde kurwe Cumulative Frequency/ Kumulatiewe frekwensie Speed in km per hour/ Spoed in km per uur.3 (accept/aanvaar 3 ) motorists/motoriste (accept/aanvaar 0 motorists/motoriste) (3) () [8] Please turn over/blaai om asseblief
25 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG 3 S y K L N M( ; ) O A B x P 3. r MN answer/antw 3. ( x ) + ( y ) equation/vgl 3.3 A(x ; 0) (x ) + (0 ) (x ) + (0 ) x 0x (x ) + 6 x 0x (x ) 9 (x 8)(x ) 0 (x ) ± 3 x 8 or/of x x 8 or/of x A( ; 0) A( ; 0) 3.. m MB () () substitute into eq/ vervang in vgl y 0 standard form/ standaardvorm or perfect square form/kwadr vorm answer/antw (3) subst M and B into form/vervang M and B in form m MB 3 () Please turn over/blaai om asseblief
26 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum 3.. m MB mpb (tangent radius/ rkl radius) 3 m PB y 3 x + c y y 3 (x x ) m MB mpb 3 m PB 0 3 (8) + c y 0 3 (x 8) y 3 x 6 y 3 x 6 3. y K y M + r + y At/By L: 3 x 6 9 3x 36 3x 60 x L(0 ; 9) ML L(0 ; 9) ( x (0 ) + 0 x ) + ( y + (9 ) or / of y 0 ) ML ( x () () 0 x ) + () (9 + ) or / of + ( y 3.8 MK KL M K ˆ L 90 (radius tangent/radius rkl) ML is a diameter as it subtends a right angle/ml is middellyn ML 0 r or 7,9 Centre of circle midpoint of ML/Midpt van sirkel midpt v ML x, y 6, Centre/midpt: (, ; 6,) Equation of the circle KLM /Vgl van sirkel KLM: 0 ( x,) + ( y 6,) 6, y 0 ) equation/vgl (3) 9 equation/vgl () equating simultaneously simplification () correct subst into distance formula/ korrekte subst in afstandformule answer in surd form/antw in wortelvorm () S value of/waarde van r x, y 6, answer in correct form/ antw in korrekte vorm () Please turn over/blaai om asseblief
27 Mathematics P/Wiskunde V 6 DBE/November 0 NSC/NSS Memorandum MK KL M K ˆ L 90 (radius tangent/radius rkl) ML is a diameter as it subtends a right angle/ml is middellyn Centre of circle midpoint of ML/Midpt van sirkel midpt v ML x, y 6, Centre/midpt: (, ; 6,) Equation of the circle KLM /Vgl van sirkel KLM: ( x,) + ( y 6,) r subst ( ; ): (,) + ( 6,) r 6, r 0 ( x,) + ( y 6,) 6, By symmetry about LM/deur simmetrie om LM: MK KL M K ˆ L 90 (radius tangent/radius rkl) ML is a diameter as it subtends a right angle/ml is middellyn ML is a diameter /ML is 'n middellyn ML 0 r or /of 7,9 Centre of circle midpoint of ML/Midpt van sirkel midpt v ML x, y 6, Centre/midpt: (, ; 6,) Equation of the circle KLM /Vgl van sirkel KLM: 0 ( x,) + ( y 6,) 6, S x, y 6, value of/waarde van r answer in correct form/antw in korrekte vorm () S value of/waarde van r x, y 6, answer in correct form/antw in korrekte vorm () [] Please turn over/blaai om asseblief
28 Mathematics P/Wiskunde V 7 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG y F B( ; ) D M A E O x. y 0: 3x x 3 8 E ; 0 E ; tan DÊO mde 3.3 DÊO 7,6... 7,7 m DÂE 7,6... AB 6,7 tan 6,7 y x + c y y (x x ) () + c y (x ) y x + y x + 9 y-value/waarde x-value/waarde tan DÊO 3 7,6 () 6,7 (3) m AB tan 6, 7 m AB subst of m and ( ; )into formula/ subst m en ( ; ) in formule equation/vgl () Please turn over/blaai om asseblief
29 Mathematics P/Wiskunde V 8 DBE/November 0 NSC/NSS Memorandum. Solve x y and y 3x + 8 simultaneously: x (3x+8) x 6x x 7 x y 3( ) + 8 y y 3 D( ; 3 ) y 3 subst/vervang x-value/waarde subst/vervang y-value/waarde () x y 9 y 3 (y 9) + 8 y 6 y y 3 x (3 ) 9 x D( ; 3 ) subst/vervang y value/waarde subst/vervang x-value/waarde 3x + 8 x + 6x + 6 x + 9 x 7 x y 3( ) + 8 y ( ) + y 3 y 3 D( ; 3 ) () equating/gelyk stel x value/waarde subst/vervang y-value/waarde () Please turn over/blaai om asseblief
30 Mathematics P/Wiskunde V 9 DBE/November 0 NSC/NSS Memorandum x y 9 () 6x + y 6...() () + (): x 7 x y 9 y 3( ) + 8 adding/optelling x-value/waarde D( y 3 ; 3 ) y 3x + 8.() 6y 3x + 7.() () (): y 9 y 3 3 3x + 8 x D( ; 3 ) y 3 x (3 ) 9 x subst/vervang y-value/waarde () subtracting/aftrekking y-value/waarde subst/vervang x-value/waarde () Please turn over/blaai om asseblief
31 Mathematics P/Wiskunde V 0 DBE/November 0 NSC/NSS Memorandum F 8 3 D( ; ) 3 B( ; ) M(0 ; ) G A( 9 ; 0) 6,7 E( ; 0) C O x. area DMOE area AMO area ADE x A (0) 9 A( 9 ; 0) area AMO area ADE. AO. OM. AE. yd (9)( ). (AO EO). yd 0, 9 3 3,03 area ADE AD.AE.sin D ÂE 9 ( ).6.sin 6,7 3,03 correct method/ korrekte metode x A 9 (9)( ) AE y D 3 9 AD AE 6 3 area DMOE 8, square units/vk eenh answer/antw (6) Please turn over/blaai om asseblief
32 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum area DMOE area rectangle DCOG + area DMG + area DEC 7 9 ( 3 ) + ( ) + (3 )( ) 0 8, square units/vk eenh correct method/ korrekte metode 3 0,7 9 answer (6) area DMOE area EDO + area ODM ( EO yd ) + ( OM x D ) or/of 8 or/of 8, square units/vk eenh area DMOE area EOF area DMF ( EO OF) ( OF OM)( x D ) or 8 or 8, square units/vk eenh correct method/ korrekte metode 9 y D or 3 8 EO 3 x D 7 9 OM or answer/antw correct method/ korrekte metode y F 8 EO 3 8 x D 7 FM 3 answer/antw (6) (6) Please turn over/blaai om asseblief
33 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum sq units/vk eenh area EOM ( EO OM) ED and DM or,00... or,6.. 0 area EDM ( ED DM sin EDˆ M) sin or, area DMOE area EOM + area EDM 6 +, or/of 8 or/of 8, square units/eenh area EOM 9 0 ED 7 DM 0 area EDM correct method/ korrekte metode answer/antw (6) [9] F 8 3 D( ; ) 3 B( ; ) M(0 ; ) G A( 9 ; 0) 6,7 E( ; 0) C O x Please turn over/blaai om asseblief
34 Mathematics P/Wiskunde V 3 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG C A x y 8 P D. sin CÂP CP AP 3 sin x 8 x 60 sin 90 sin x sin x 8 x C PˆA DPˆA 30 ( AP bisects DPˆ C) AD AP 8 + AD,96 + DP 3.AP.DP.cos APˆD (8)() cos (8)()( ),7... correct sine ratio/ korrekte sin-verh 3 () correct sine ratio/ korrekte sin-verh 3 D PˆA 30 () correct subst into cosine rule/ korrekte subst in cos-reël,7...,96 () Please turn over/blaai om asseblief
35 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum.3 sin DÂP sin APˆD DP AD sin y sin 30,96 sin 30 sin y,96 0,03... AD 8 cos y y 3,78 AP 8 cos y 0,98... y 3,8 + DP + (,96) + (,96) (8)(,96).AP.DP.cosDÂP (8)(,96).cos y correct subst into sine rule/ korrekte subst in sin-reël sin y subject 3,78 (3) correct subst into cosine rule/ korrekte subst in cos-reël cos y subject 3,8 (3) [9] Please turn over/blaai om asseblief
36 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG 6 6. cos (80 + x) + tan( x 80 )sin(70 x) cos x ( cos x) + [ ( tan x)]( sin x)(cos x) cos x + cos x sin cos x sin cos x ( sin x)(cos x) x x 6. sin( α β ) cos[ 90 ( α β )] cos[( 90 α ) + β ] cos( 90 α)cos β sin(90 α) sin β sinα cos β cosα sin β sin( α β ) cos[ 90 ( α β )] cos[( 90 + β ) + ( α )] cos( 90 + β )cos( α ) sin(90 + β )sin( α ) ( sin β )cosα cos β ( sinα) sinα cos β cosα sin β 6.3 x y sin 76 cos 76 ( cos 76 sin 76 ) cos (76 ) cos ( cos 8 ) cos ( ) cos 8 ( sin 6 ) cos (90 6 ) sin 6 sin 6 x y sin 76 cos 76 sin 76 sin 76 cos 76 cos 76 sin 76 cos cos 76 sin sin (76 ) sin 6 ( cos x ) or cos x tan x or ( tan x) sin x sin x tan x cos x cos x sin x () rewrite as/herskryf cos[( 90 α ) + β ] expansion/ uitbreiding simpl/vereenv (3) rewrite as/herskryf cos[( 90 + β ) + ( α )] expansion/ uitbreiding simpl/vereenv (3) ( cos 76 sin 76 ) recognition of cos double angle cos cos 8 () cos sin recognition of sine compound angle sin(76 ) x y sin 76 cos 76 cos sin cos ( ) cos 8 sin 6 () cos sin recognition of cos double angle cos 8 () [] Please turn over/blaai om asseblief
37 Mathematics P/Wiskunde V 6 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG y or y [0 ; ] critical values/ kritieke waardes notation/notasie () 7. sin x + cos x sin x + sin x sin x + sin x 0 sin x(sin x + ) sin x(sin x + ) 0 sin x 0 or sin x sin x st form/st vorm sin x 0 or sin x () 7. x 0 + k.360 or x 80 + k.360 x k.80, k Z x 0 + k.360 or x k.360, k Z f 0 ; 80 x k.80 0 ; 330 k.360, k Z () y-intercept/afsnit x-intercepts/afsnitte min/max points/ min/maks punte g - 7. f (x) g(x) at/by: x 30 ; 0 ; 80 ; 0 f (x + 30 ) g(x + 30 ) at/by: x 60 ; 30 ; 0 ; Series will converge if/reeks sal konvergeer as: < r < < cos x < < cos x < (3) 30 ; 0 ; 80 ; 0 60 ; 30 ; 0 ; 80 < r < r cos x < cos x < (3) 30 < x < 60 or x (30 ; 60 ) 30 < x < 60 () [9] Please turn over/blaai om asseblief
38 Mathematics P/Wiskunde V 7 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG A O C y x B 8.. x 96 ( at centre at circumference/ by midpt by omtrek) Bˆ (sum of s in / som v e in ) Ĉ y Bˆ ( s opp sides/ e teenoor sye) S R S S () () 8. A B O C F 30 D 8.. Fˆ 90 (line from centre to midpt chord/ lyn vanaf midpt na midpt kd) 8.. A Bˆ C 0 (opposite s of cyclic quad/ tos e v koordevh ) S R S R () () Please turn over/blaai om asseblief
39 Mathematics P/Wiskunde V 8 DBE/November 0 NSC/NSS Memorandum 8.3 A x E 3 C x + 7 B 8.3. (a) tangent radius/diameter / raaklyn radius/middellyn R 8.3. (b) tangents from common pt OR tangents from same pt / raaklyne v gemeensk pt OF raaklyne vanaf dies pt 8.3. AB + BC AC x + ( x + 7) 3 (Theorem of/stelling vanpythagoras) x + x + x x + x 0 0 x + 7x 60 0 ( x )( x + ) 0 x ( x ) R () () AB + BC AC x + ( x + 7) 3 standard form answer () [] Please turn over/blaai om asseblief
40 Mathematics P/Wiskunde V 9 DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG 9 9. A D k h E B C 9.. Same base (DE) and same height (between parallel lines) Dieselfde basis (DE) en dieselfde hoogte (tussen ewewydige lyne) 9.. AD DB AE k EC k But/Maar area DEB area DEC (Same base and same height/dieselfde basis en dieselfde hoogte) area ADE area ADE area DEB area DEC AD DB AE EC same base/dies basis between lines/ tussen lyne () S S S R S () Please turn over/blaai om asseblief
41 Mathematics P/Wiskunde V 0 DBE/November 0 NSC/NSS Memorandum 9. A F D E G M B C 9.. EM FD (Line parallel one side of AM AD OR prop th; EF BD) (Lyn ewewydig aan sy v EM 3 OF eweredigst; EF BD) AM CM AM (diags of parm bisect/hoekl parm halv) CM AM 7 (from 9../vanaf 9..) ME ME h of FDC h of BDC (AD BC) FD. h area FDC area BDC BC. h FD (opp sides of parm ) AD (tos sye v parm ) 3 7 S R answer/antw S R answer/antw AD BC subst into area form/ subst in opp formule S answer/antw (3) (3) () area FDC area ADC FD AD 3 7 (same heights) (dieselfde hoogtes) S R But Area ADC Area BDC (diags of parm bisect area) (hoekl v parm halv opp) area FDC 3 area BDC 7 S answer/antw () [6] Please turn over/blaai om asseblief
42 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum QUESTION/VRAAG 0 P S X W x R 3 y T 3 3 Q Y 0.. Tangent chord theorem/raaklyn-koordstelling R 0.. Tangent chord theorem/raaklyn-koordstelling R 0..3 Corresponding angles equal/ooreenkomstige e gelyk R 0.. s subtended by chord PQ OR s in same segment R e onderspan deur dieselfde koord OF e in dieselfde segment 0.. alternate s/verwisselende e ; WT SP R 0. RW RT (Line parallel one side of OR RS RP prop th; WT SP) WR.RP RT (Lyn ewewydig aan sy v OF RS eweredighst: WT SP) S R () () () () () () 0.3 RTW RPS ( ; ; ) RW RT RS RP ( RTW RPS) RW.RP RT RS y Tˆ Rˆ 3 (tan chord theorem/rkl-koordst) y Rˆ 3 Qˆ ( s in same segment/ e in dieselfde segment) S S S R S R () () Please turn over/blaai om asseblief
43 Mathematics P/Wiskunde V DBE/November 0 NSC/NSS Memorandum x P S y X W x y 3 R y T x 3 y y 3 Q Y 0. Qˆ 3 PŜR (ext of cyc quad/buite v kdvh) ŜR Ŵ Qˆ 3 Ŵ P (corresp s/ooreenk e ; WT SP) Qˆ x ( s in same segment/ e in dies segment) Qˆ 3 80 ( x + y) ( s on straight line/ e op reguitlyn) Ŵ Qˆ 3 Ŵ 80 ( x + y) ( s of WRT/ e v WRT ) 0. In RTS and RQP: Rˆ 3 Rˆ y (proven above/hierbo bewys) Ŝ Pˆ ( s in same segment/ e in dies segment) R Tˆ S RQˆ P (3 rd angle of ) RTS RQP ( ; ; ) S R S R S S S S/R S ( ; ; ) (3) (3) (3) Please turn over/blaai om asseblief
44 Mathematics P/Wiskunde V 3 DBE/November 0 NSC/NSS Memorandum 0.6 RT RS ( RTS RQP) RQ RP RS RS RT RS RP RP RQ RP RS RP RT RP RW RS RW RQ RS RQ RS RQ RT RS ( RTS RQP) RQ RP WR.RP But RT (proven in 0./bewys in 0.) RS WR.RP RT RQ WR.RP WR RQ RQ.RS RQ.RS RS RP RS RP (proven in 0./bewys in 0.) S S RS on both RP sides RT RS RP RQ WR.RP RT RS multiplication/ vermenigvuldig (3) (3) RT RQ ( RTS RQP) RS RP RT.RP RQ RS RT.RS and WR (proven in 0./bewys in 0.) RP RT.RS WR RP RQ RT.RP RS RT.RS RS RP RT.RP RS RP S RT.RS WR RP simplification/ vereenvoudiging (3) [0] TOTAL/TOTAAL: 0
NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 04 MEMORANDUM MARKS: 50 PUNTE: 50 Tis memorandum consists of pages. Hierdie memorandum bestaan uit bladsye. Copyrigt reserved/kopiereg
More informationGRADE 11 NOVEMBER 2015 MATHEMATICS P2
NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2015 MATHEMATICS P2 MARKS: 150 TIME: 3 hours *Imat2* This question paper consists of 14 pages. 2 MATHEMATICS P2 (EC/NOVEMBER 2015) INSTRUCTIONS AND INFORMATION
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 0 MATHEMATICS P/WISKUNDE V NOVEMBER 05 MEMORANDUM MARKS: 50 PUNTE: 50 This memorandum consists of pages./ Hierdie memorandum bestaan
More informationA/CA Cum frequency values/ Kum.frek. waardes
SEPTEMBER P/ V 06 MARKING/ NASIEN MEMORANDUM NOTE: If a candidate answers a question TWICE, only mark the FIRST attempt. If a candidate has crossed out an attempt of a question and not redone the question,
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 11
NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 05 MEMORANDUM MARKS/PUNTE: 50 This memorandum consists of 7 pages. Hierdie memorandum bestaan uit
More informationNATIONAL SENIOR CERTIFICATE GRADE/GRAAD 12
NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V FEBRUARY/MARCH/FEBRUARIE/MAART 05 MEMORANDUM MARKS/PUNTE: 50 This memorandum consists of ages. Hierdie memorandum bestaan uit bladsye. Coyright
More informationNATIONAL SENIOR CERTIFICATE GRADE/GRAAD 12
NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V FEBRUARY/MARCH/FEBRUARIE/MAART 06 MEMORANDUM MARKS: 50 PUNTE: 50 This memorandum consists of pages./ Hierdie memorandum bestaan uit bladsye.
More informationA/CA Cum frequency values/ Kum.frek. waardes
Kummulatiewe frekwensie SEPTEMBER P/ V 06 MARKING/ NASIEN MEMORANDUM NOTE: If a candidate answers a question TWICE, only mark the FIRST attempt. If a candidate has crossed out an attempt of a question
More informationNATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V FEBRUARY/MARCH/FEBRUARIE/MAART 06 MEMORANDUM MARKS: 50 PUNTE: 50 This memorandum consists of pages./ Hierdie memorandum bestaan uit bladsye.
More informationQUESTION/ VRAAG 1 Q# SUGGESTED ANSWER/ VOORGESTELDE ANTWOORD DESCRIPTORS/ BESKRYWERS. Frequency/ Frekwensie ( f )
JUNIE/ JUNE P/ V015 MARKING/ NASIEN MEMORANDUM NOTE: If a candidate answers a question TWICE, only mark the FIRST attempt. If a candidate has crossed out an attempt of a question and not redone the question,
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 05 MEMORANDUM MARKS: 50 PUNTE: 50 This memorandum consists of pages./ Hierdie memorandum bestaan
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 JUNE/JUNIE 2018 MATHEMATICS P2/WISKUNDE V2 MARKING GUIDELINE/NASIENRIGLYN
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD JUNE/JUNIE 8 MATHEMATICS P/WISKUNDE V MARKING GUIDELINE/NASIENRIGLYN MARKS /PUNTE: 5 This marking guideline consists of pages./ Hierdie
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 05 MEMORANDUM MARKS: 50 PUNTE: 50 This memorandum consists of 7 pages./ Hierdie memorandum bestaan
More informationNATIONAL SENIOR CERTIFICATE GRADE/GRAAD 11
NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 04 MEMORANDUM MARKS/PUNTE: 50 This memorandum consists of 6 pages. Hierdie memorandum bestaan uit 6 bladsye. Mathematics/P/Wiskunde/V
More informationNATIONAL SENIOR CERTIFICATE/NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 JUNE/JUNIE 2018
NATIONAL SENIOR CERTIFICATE/NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 1 JUNE/JUNIE 018 TECHNICAL MATHEMATICS P/TEGNIESE WISKUNDE V MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 150 This marking guideline
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 MATHEMATICS P2/WISKUNDE V2 NOVEMBER 2016 MEMORANDUM MARKS/PUNTE: 100 This memorandum consists of 10 pages. Hierdie memorandum bestaan
More informationSENIOR CERTIFICATE EXAMINATIONS/ SENIORSERTIFIKAAT-EKSAMEN
SENIOR CERTIFICATE EXAMINATIONS/ SENIORSERTIFIKAAT-EKSAMEN MATHEMATICS P/WISKUNDE V JUNE 06 MEMORANDUM MARKS/PUNTE: 50 This memorandum consists of pages./ Hierdie memorandum bestaan uit bladsye. Mathematics
More informationNATIONAL 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
More informationNATIONAL/NASIONALE SENIOR CERTIFICATE/SERTIFIKAAT GRADE/GRAAD 12
NATIONAL/NASIONALE SENIOR CERTIFICATE/SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 06 MEMORANDUM MARKS/PUNTE: 0 This memorandum consists of 6 pages. Hierdie memorandum bestaan uit 6 bladsye.
More informationNATIONAL/NASIONALE SENIOR CERTIFICATE/SERTIFIKAAT GRADE/GRAAD 12
NATIONAL/NASIONALE SENIOR CERTIFICATE/SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V FEBRUARY/MARCH/FEBRUARIE/MAART 07 MEMORANDUM MARKS / PUNTE: 50 This memorandum consists of pages. Hierdie memorandum
More informationNATIONAL SENIOR CERTIFICATE GRADE 10 GRAAD 10
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
More informationMATHEMATICS Grade 12
Western Cape Education Department Examination Preparation Learning Resource 2016 STATISTIC MEMO MATHEMATICS Grade 12 Razzia Ebrahim Senior Curriculum Planner for Mathematics E-mail: Razzia.Ebrahim@wced.info
More informationNATIONAL SENIOR CERTIFICATE GRADE /GRAAD10
NATIONAL SENIOR CERTIFICATE GRADE /GRAAD MATHEMATICS PAPER / WISKUNDE VRAESTEL MEMORANDUM MARKS/PUNTE: This memorandum consists of 9 pages. Hierdie memorandum bestaan uit 9 bladsye. NOTE: If a candidate
More informationNASIONALE SENIOR SERTIFIKAAT GRAAD 10
NASIONALE SENIOR SERTIFIKAAT GRAAD 10 WISKUNDE V MODEL 01 MEMORANDUM PUNTE: 100 Hierdie memorandum bestaan uit 10 bladsye. Wiskunde/V DBE/01 LET WEL: Indien 'n kandidaat 'n vraag TWEEKEER beantwoord, sien
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 JUNE/JUNIE 2018 MATHEMATICS P1/WISKUNDE V1 MARKING GUIDELINE/NASIENRIGLYN
NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD JUNE/JUNIE 08 MATHEMATICS P/WISKUNDE V MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 50 This marking guideline consists of 5 pages./ Hierdie
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10
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
More informationGRAAD 11 NOVEMBER 2015 WISKUNDE V2
NASIONALE SENIOR SERTIFIKAAT GRAAD 11 NOVEMBER 2015 WISKUNDE V2 PUNTE: 150 TYD: 3 uur *Iwis2* Hierdie vraestel bestaan uit 14 bladsye. 2 WISKUNDE V2 (EC/NOVEMBER 2015) INSTRUKSIES EN INLIGTING Lees die
More informationNATIONAL SENIOR CERTIFICATE GRADE/GRAAD 12 MATHEMATICS PAPER 2/ WISKUNDE VRAESTEL 2 MEMORANDUM SEPTEMBER 2018
NATIONAL SENIOR CERTIFICATE GRADE/GRAAD MATHEMATICS PAPER / WISKUNDE VRAESTEL MEMORANDUM SEPTEMBER 08 MARKS/PUNTE: 50 TIME/TYD: HOURS/URE This memorandum consists of pages. Hierdie memorandum bestaan uit
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 04 MEMANDUM MARKS: 50 This memorandum consists of pages. Mathematics/P DBE/04 NSC Grade Exemplar Memorandum NOTE: If a candidate answers a question
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 SEPTEMBER 2018 MATHEMATICS P1/WISKUNDE V1 MARKING GUIDELINE/NASIENRIGLYN
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 1 SEPTEMBER 018 MATHEMATICS P1/WISKUNDE V1 MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 150 This marking guideline consists of 1 pages./
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12
NATIONAL SENI CERTIFICATE NASIONALE SENI SERTIFIKAAT GRADE/GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 0 MEMANDUM MARKS/PUNTE: 00 This memorandum consists of 4 pages. Hierdie memorandum bestaan uit 4 bladsye.
More information+ + SEPTEMBER 2016 MATHEMATICS PAPER 1 / WISKUNDE VRAESTEL 1 MEMORANDUM
SEPTEMBER 016 MATHEMATICS PAPER 1 / WISKUNDE VRAESTEL 1 MEMORANDUM NOTE: If a candidate answers a question TWICE, mark only the first one. Consistent accuracy applies in ALL aspects of the marking memorandum.
More informationSENIOR CERTIFICATE EXAMNATIONS SENIORSERTIFIKAAT-EKSAMEN
SENIOR CERTIFICATE EXAMNATIONS SENIORSERTIFIKAAT-EKSAMEN MATHEMATICS P/WISKUNDE V 07 MARKING GUIDELINES/NASIENRIGLYNE MARKS: 50 PUNTE: 50 Thee marking guideline conit of page. Hierdie naienriglyne betaan
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT NOVEMBER 2018 TECHNICAL MATHEMATICS P1/TEGNIESE WISKUNDE V1 MARKING GUIDELINE/NASIENRIGLYN
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 NOVEMBER 018 TECHNICAL MATHEMATICS P1/TEGNIESE WISKUNDE V1 MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 100 This marking guideline
More informationPREPARATORY EXAMINATION VOORBEREIDENDE EKSAMEN 2017 MEMORANDUM / NASIEN RIGLYNE
PREPARATORY EXAMINATION VOORBEREIDENDE EKSAMEN 07 MEMORANDUM / NASIEN RIGLYNE MATHEMATICS (SECOND PAPER) (06) WISKUNDE (TWEEDE VRAESTEL) (06) 9 ages / bladsye 06/7 GAUTENG DEPARTMENT OF EDUCATION / GAUTENGSE
More informationNATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P3 PREPARATORY EXAMINATION 2008 NOVEMBER 2008
NATIONAL SENIOR CERTIFICATE GRADE 0 MATHEMATICS P3 PREPARATORY EXAMINATION 008 NOVEMBER 008 MARKS: 00 TIME: hours This question paper consists of pages and 4 diagram sheets. Mathematics/P DoE/Preparatory
More informationNATIONAL SENIOR CERTIFICATE EXAMINATION MATHEMATICS JUNE EXAMINATION GRADE 10 PAPER
NATIONAL SENIOR CERTIFICATE EXAMINATION MATHEMATICS JUNE EXAMINATION 05 GRADE 0 PAPER MARKS : 00 TIME: HOURS This paper consists of 7 pages. Mathematics MDoE/June Eam 05 INSTRUCTIONS: Read the following
More informationNATIONAL SENIOR CERTIFICATE MEMORANDUM MATHEMATICS MEMORANDUM P2 SEPTEMBER 2016 GRADE 12
NATIONAL SENIOR CERTIFICATE MEMORANDUM MATHEMATICS MEMORANDUM P SEPTEMBER 06 GRADE This memo consists of 5 pages Income Maths Memo / P September 06 QUESTION.. 700 answer ().. 700 answer ().. 45 minutes
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 0 MEMANDUM MARKS: 00 This memorandum consists of pages. Mathematics/P DBE/Feb. Mar. 0 QUESTION. 6; 7 answer answer (). T Tk + Tk + k + T + +
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 05 MARKS: 50 TIME: 3 hours This question paper consists of 5 pages and a 4-page answer book. Mathematics/P DBE/November 05 CAPS Grade INSTRUCTIONS
More informationGRAAD 12 SEPTEMBER 2012 WISKUNDE V3 MEMORANDUM
Province of the EASTERN CAPE EDUCATION NASIONALE SENIOR SERTIFIKAAT GRAAD SEPTEMBER 0 WISKUNDE V3 MEMORANDUM PUNTE: 00 Hierdie memorandum bestaan uit 3 bladsye. WISKUNDE V3 (SEPTEMBER 0) VRAAG. ; 4; 0;
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT MATHEMATICS P2/WISKUNDE V2 GRADE/GRAAD 11 NOVEMBER 2016
NAME OF LEARNER: NAAM VAN LEERDER: CLASS: KLAS: NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT MATHEMATICS P2/WISKUNDE V2 GRADE/GRAAD 11 NOVEMBER 2016 SPECIAL ANSWER BOOK SPESIALE ANTWOORDEBOEK
More informationNATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 SEPTEMBER 2015 MATHEMATICS P1/WISKUNDE V1 MEMORANDUM
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 SEPTEMBER 2015 MATHEMATICS P1/WISKUNDE V1 MEMORANDUM MARKS/PUNTE: 150 This memorandum consists of 15 pages./ Hierdie memorandum
More informationHOëRSKOOL STRAND WISKUNDE NOVEMBER 2016 GRAAD 11 VRAESTEL 2
HOëRSKOOL STRAND WISKUNDE NOVEMBER 2016 TOTAAL: 150 Eksaminator: P. Olivier GRAAD 11 VRAESTEL 2 TYD: 3UUR Moderator: E. Loedolff INSTRUKSIES: 1. Hierdie vraestel bestaan uit 8 bladsye en n DIAGRAMBLAD
More informationPrac Maths. Geometry is Easy Grade 11 & 12. Seeliger ~ Mouton. Set by / Opgestel deur
Prac Maths Geometry is Easy Grade & Set by / pgestel deur Seeliger ~ Mouton Geometry is Easy Grade & ~ PS JNM PULISHERS (Pty) Ltd 06 P ox 95533 WTERKLF 045 Tel: (0) 460 3907 Fax: (0) 460 0848 Fax: 086
More informationWestern Cape Education Department. Examination Preparation Learning Resource 2016 GEOMETRY MATHEMATICS
Western ape Education Department Examination Preparation Learning Resource 06 GEOMETRY MTHEMTIS Grade Geometry Questions Grade Theorems on Razzia Ebrahim Senior urriculum Planner for Mathematics E-mail:
More informationNASIONALE SENIOR SERTIFIKAAT GRAAD 11
NASIONALE SENIOR SERTIFIKAAT GRAAD WISKUNDE V NOVEMBER 04 PUNTE: 50 TYD: 3 uur Hierdie vraestel bestaan uit 4 bladsye. Wiskunde/V DBE/November 04 KABV Graad INSTRUKSIES EN INLIGTING Lees die volgende instruksies
More informationMATHEMATICS: PAPER II MARKING GUIDELINES
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION MARCH 08 MATHEMATICS: PAPER II MARKING GUIDELINES Time: 3 hours 50 marks These marking guidelines are prepared for use by examiners and
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P NOVEMBER 06 MARKS: 50 TIME: 3 hours This question paper consists of 3 pages and a -page answer book. Mathematics/P DBE/November 06 INSTRUCTIONS AND INFORMATION
More informationMATHEMATICS: PAPER II MARKING GUIDELINES
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 05 MATHEMATICS: PAPER II MARKING GUIDELINES Time: 3 hours 50 marks These marking guidelines are prepared for use by examiners and sub-examiners, all of
More informationMATHEMATICS: PAPER II MARKING GUIDELINES
NATIONAL SENIOR CERTIFICATE EXAMINATION EXAMINATION 05 MATHEMATICS: PAPER II MARKING GUIDELINES Time: 3 hours 50 marks These marking guidelines are prepared for use by examiners and sub-examiners, all
More informationx 5 4 or invalid/ no solution SEPTEMBER 2015 MATHEMATICS P1 MEMORANDUM
SEPTEMBER 05 MATHEMATICS P MEMORANDUM GENERAL GUIDELINES FOR MARKING If a learner makes more than one attempt at answering a question and does not cancel any of them out, only the first attempt will be
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P3 NOVEMBER 0 MEMANDUM MARKS: 00 This memorandum consists of 6 pages. Mathematics/P3 DBE/November 0 NOTE: If a candidate answered a question TWICE, mark the
More informationNATIONAL SENIOR CERTIFICATE GRADE /GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 05 MEMORANDUM MARKS: 50 PUNTE: 50 Tis memoradum cosists of 5 pages. Hierdie memoradum bestaa uit 5 bladsye. Copyrigt reserved/kopiereg
More informationGAUTENG DEPARTMENT OF EDUCATION GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINCIAL EXAMINATION PROVINSIALE EKSAMEN JUNE / JUNIE 2017 GRADE / GRAAD 9
GAUTENG DEPARTMENT OF EDUCATION GAUTENGSE DEPARTEMENT VAN ONDERWYS PROVINCIAL EXAMINATION PROVINSIALE EKSAMEN JUNE / JUNIE 2017 MATHEMATICS WISKUNDE MEMORANDUM 8 pages / bladsye 1 GAUTENG DEPARTMENT OF
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 2014 MATHEMATICS: PAPER II EXAMINATION NUMBER Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of
More informationBasic Education MATHEMATICS P2 PREPARATORY EXAMINATION SEPTEMBER 2015 MEMORANDUM NATIONAL SENIOR CERTIFICATE GRADE 12
Basic Educatin KwaZulu-Natal Department f Educatin REPUBLIC OF SOUTH AFRICA MATHEMATICS P PREPARATORY EXAMINATION SEPTEMBER 05 MEMORANDUM NATIONAL SENIOR CERTIFICATE GRADE N.B. This memrandum cnsists f
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12
NATIONAL SENIOR CERTIICATE NASIONALE SENIOR SERTIIKAAT GRADE/GRAAD 1 PHYSICAL SCIENCES: PHYSICS (P1) ISIESE WETENSKAPPE: ISIKA (V1) EXEMPLAR 014 MODEL 014 MEMORANDUM MARKS/PUNTE: 150 This memorandum consists
More informationHoofstuk 29 Magnetiese Velde a.g.v Elektriese Strome
Hoofstuk 29 Magnetiese Velde a.g.v Elektriese Strome Nadat hierdie hoofstuk afghandel is, moet die student: Magnetiese veld as gevolg van n stroom kan bereken; Die regterhandreëls kan neerskryf en toepas;
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
Mathematics P LimpopoDoE/September 08 NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P MEMANDUM SEPTEMBER 08 MARKS: 50 TIME: hours This memorandum consists of 6 pages. Mathematics P LimpopoDoE/September 08
More informationAnswer ALL the questions in the SPECIAL ANSWER BOOK provided.
Mathematics/P DBE/November 04 INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions... 3. 4. 5. 6. 7. This question paper consists of 0 questions. Answer
More informationNATIONAL SENIOR CERTIFICATE GRADE /GRAAD MATHEMATICS P/WISKUNDE V NOVEMBER 0 MEMORANDUM MARKS: 0 PUNTE: 0 Tis memoradum cosists of pages. Hierdie memoradum bestaa uit bladsye. Copyrigt reserved/kopiereg
More information3. (d) None of these / Geen van hierdie
SECTION A (24 marks) / AFDELING A (24 punte) The questions in Section A must be completed on SIDE 2 of the optical reader form in SOFT PENCIL. First circle your answers on this paper and then transfer
More informationNATIONAL SENIOR CERTIFICATE GRADE 11
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P EXEMPLAR 0 MARKS: 50 TIME: hours This question paper consists of pages and diagram sheets. Mathematics/P DBE/0 NSC Grade Exemplar INSTRUCTIONS AND INFORMATION
More informationMATHEMATICS: PAPER II MARKING GUIDELINES
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 017 MATHEMATICS: PAPER II MARKING GUIDELINES Time: hours 150 marks These marking guidelines are prepared for use by examiners and sub-examiners, all of
More information[1a] 1, 3 [1b] 1, 0 [1c] 1, 3 en / and 1, 5 [1d] 1, 0 en / and 1, 0 [1e] Geen van hierdie / None of these
AFDELING A : MEERVOUDIGE KEUSE VRAE. 20 PUNTE Beantwoord vrae 1 tot 10 op die MERKLEESVORM se KANT 2. Indien kant 1 gebruik word sal dit nie nagesien word nie. Gebruik n sagte potlood. Jy mag nie verkeerde
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 00 MEMORANDUM MARKS: 00 This memorandum consists of 8 pages. Mathematics/P DoE/Feb. March 00 QUESTION. ; 6 s. + 7 developing sequence + 7
More informationMATHEMATICS: PAPER II MARKING GUIDELINES
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION MARCH 06 MATHEMATICS: PAPER II MARKING GUIDELINES Time: 3 hours 0 marks These marking guidelines are prepared for use by examiners and
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION MARCH 2018 MATHEMATICS: PAPER II EXAMINATION NUMBER Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question
More informationMEMO MATHEMATICS: PAPER II
MEMO CLUSTER PAPER 2016 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 28 pages and an Information Sheet of 2 pages(i-ii).
More informationMATHEMATICS: PAPER II
NATIONAL SENIOR CERTIFICATE EXAMINATION SUPPLEMENTARY EXAMINATION 2015 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of
More informationVAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)
BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ
More informationNATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12
NATIONAL SENIOR CERTIFICATE NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 12 PHYSICAL SCIENCES: PHYSICS (P1) FISIESE WETENSKAPPE: FISIKA (V1) NOVEMBER 2012 MEMORANDUM MARKS/PUNTE: 150 This memorandum consists
More informationMATHEMATICS Grade 12
Western Cape Education Department Examination Preparation Learning Resource 2016 TRIGONOMETRY General MATHEMATICS Grade 12 Razzia Ebrahim Senior Curriculum Planner for Mathematics E-mail: Razzia.Ebrahim@wced.info
More informationGRAAD 11 NOVEMBER 2012 WISKUNDIGE GELETTERDHEID V1 MEMORANDUM
Province of the EASTERN CAPE EDUCATION NASIONALE SENIOR SERTIFIKAAT GRAAD 11 NOVEMBER 2012 WISKUNDIGE GELETTERDHEID V1 MEMORANDUM MARKS: 100 SIMBOOL A CA C J M MA P R RT/RG S SF O VERDUIDELIKING Akkuraatheid
More informationEuclidian Geometry Grade 10 to 12 (CAPS)
Euclidian Geometry Grade 10 to 12 (CAPS) Compiled by Marlene Malan marlene.mcubed@gmail.com Prepared by Marlene Malan CAPS DOCUMENT (Paper 2) Grade 10 Grade 11 Grade 12 (a) Revise basic results established
More informationI pledge that I have neither given nor received help with this assessment.
CORE MATHEMATICS PII Page 1 of 4 HILTON COLLEGE TRIAL EXAMINATION AUGUST 016 Time: 3 hours CORE MATHEMATICS PAPER 150 marks PLEASE READ THE FOLLOWING GENERAL INSTRUCTIONS CAREFULLY. 1. This question paper
More information2000-CE MATH Marker s Examiner s Use Only Use Only MATHEMATICS PAPER 1 Question-Answer Book Checker s Use Only
000-CE MATH PAPER 1 HONG KONG EXAMINATIONS AUTHORITY HONG KONG CERTIFICATE OF EDUCATION EXAMINATION 000 MATHEMATICS PAPER 1 Question-Answer Book 8.0 am 10.0 am ( hours) This paper must be answered in English
More informationDepartment of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde
Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde GRADES 10 AND 11 GRADE 10 EN 11 30 July 3 Aug 2018 30 Julie 3 Aug 2018 TIME: 2 HOURS TYD: 2 URE 2012 OUTEURSREG
More informationNATIONAL SENIOR CERTIFICATE GRADE 12/GRAAD 12
NATIONAL SENIOR CERTIFICATE GRADE /GRAAD MATHEMATICS P/WISKUNDE V MARCH 7 MEMORANDUM MARKS: PUNTE: Tis memndum consists o pges. Hierdie memndum bestn uit bldse. Coprigt reserved/kopieregvobeou Plese turn
More informationJUNE 2005 TYD/TIME: 90 min PUNTE / MARKS: 50 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER:
UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 63 - NUMERIESE METHODE / NUMERICAL METHODS EKSAMEN / EXAMINATION
More informationE(3;2) (4 3) (5 2) r r. 10 ( x 4) ( y 5) 10. y D A(4;5) C(10;3) B(2;-1) SECTION A QUESTION 1 In the diagram below:
SECTION A QUESTION In the diagram below: DC CB A is the centre of the circle. E is the midpoint of AB. The equation of line BA is: y 7 DF is a tangent to the circle at F. y D F A(4;5) E B(;-) C(0;) (a)
More informationSEMESTERTOETS 1 / SEMESTER TEST 1
UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE DEPARTMENT OF MATHEMATICS
More informationTopic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths
Topic 2 [312 marks] 1 The rectangle ABCD is inscribed in a circle Sides [AD] and [AB] have lengths [12 marks] 3 cm and (\9\) cm respectively E is a point on side [AB] such that AE is 3 cm Side [DE] is
More informationGRAAD 12 SEPTEMBER 2015 WISKUNDE V2
NASIONALE SENIOR SERTIFIKAAT GRAAD 1 SEPTEMBER 015 WISKUNDE V PUNTE: 150 TYD: 3 uur *MATHA1* Hierdie vraestel bestaan uit 13 bladsye insluitende ʼn inligtingsblad, en ʼn SPESIALE ANTWOORDEBOEK. WISKUNDE
More informationChapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in
Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.
More informationST MARY S DSG, KLOOF GRADE: SEPTEMBER 2017 MATHEMATICS PAPER 2
ST MARY S DSG, KLOOF GRADE: 12 12 SEPTEMBER 2017 MATHEMATICS PAPER 2 TIME: 3 HOURS ASSESSOR: S Drew TOTAL: 150 MARKS MODERATORS: J van Rooyen E Robertson EXAMINATION NUMBER: TEACHER: INSTRUCTIONS: 1. This
More informationMATHEMATICS: PAPER II Page 1 of 24 HILTON COLLEGE TRIAL EXAMINATION AUGUST 2014 MATHEMATICS: PAPER II GENERAL INSTRUCTIONS
MATHEMATICS: PAPER II Page of 4 HILTON COLLEGE TRIAL EXAMINATION AUGUST 04 Time: 3 hours MATHEMATICS: PAPER II GENERAL INSTRUCTIONS 50 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY.. This question
More informationMathematics P2 1 Preparatory Examination September 2016 NSC-MEMORANDUM. Education. KwaZulu-Natal Department of Education REPUBLIC OF SOUTH AFRICA
Mathematics P Preparatry Examinatin September 06 Educatin KwaZulu-Natal Department f Educatin REPUBLIC OF SOUTH AFRICA MATHEMATICS P PREPARATORY EXAMINATION SEPTEMBER 06 MEMORANDUM NATIONAL SENIOR CERTIFICATE
More informationGRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P1 TEGNIESE WETENSKAPPE V1 MARKING GUIDELINE/NASIENRIGLYN
NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P1 TEGNIESE WETENSKAPPE V1 MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 150 This marking guideline
More information(A) 50 (B) 40 (C) 90 (D) 75. Circles. Circles <1M> 1.It is possible to draw a circle which passes through three collinear points (T/F)
Circles 1.It is possible to draw a circle which passes through three collinear points (T/F) 2.The perpendicular bisector of two chords intersect at centre of circle (T/F) 3.If two arcs of a circle
More informationNovember 2005 TYD/TIME: 90 min PUNTE / MARKS: 35 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: HANDTEKENING/SIGNATURE:
UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 263 - NUMERIESE METODES / NUMERICAL METHODS EKSAMEN / EXAMINATION
More informationCAMI Education links: Maths NQF Level 4
CONTENT 1.1 Work with Comple numbers 1. Solve problems using comple numbers.1 Work with algebraic epressions using the remainder and factor theorems CAMI Education links: MATHEMATICS NQF Level 4 LEARNING
More informationKING DAVID HIGH SCHOOL LINKSFIELD GRADE 11 MATHEMATICS PAPER 2 NOVEMBER Writing Time: 2½ hours Total: 120 marks
KING DAVID HIGH SCHOOL LINKSFIELD GRADE 11 MATHEMATICS PAPER 2 NOVEMBER 2017 Writing Time: 2½ hours Total: 120 marks NAME: INSTRUCTIONS AND INFORMATION Read the following instructions carefully before
More informationIB Math SL 1: Trig Practice Problems: MarkScheme Circular Functions and Trig - Practice Problems (to 07) MarkScheme
IB Math SL : Trig Practice Problems: MarkScheme Circular Functions and Trig - Practice Problems (to 07) MarkScheme. (a) Evidence of using the cosine rule p + r q eg cos P Qˆ R, q p + r pr cos P Qˆ R pr
More informationUNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA WTW263 NUMERIESE METODES WTW263 NUMERICAL METHODS EKSAMEN / EXAMINATION
VAN/SURNAME : UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA VOORNAME/FIRST NAMES : WTW26 NUMERIESE METODES WTW26 NUMERICAL METHODS EKSAMEN / EXAMINATION STUDENTENOMMER/STUDENT NUMBER : HANDTEKENING/SIGNATURE
More informationMathematics, Algebra, and Geometry
Mathematics, Algebra, and Geometry by Satya http://www.thesatya.com/ Contents 1 Algebra 1 1.1 Logarithms............................................ 1. Complex numbers........................................
More informationPractice Assessment Task SET 3
PRACTICE ASSESSMENT TASK 3 655 Practice Assessment Task SET 3 Solve m - 5m + 6 $ 0 0 Find the locus of point P that moves so that it is equidistant from the points A^-3, h and B ^57, h 3 Write x = 4t,
More information( 1 ) Show that P ( a, b + c ), Q ( b, c + a ) and R ( c, a + b ) are collinear.
Problems 01 - POINT Page 1 ( 1 ) Show that P ( a, b + c ), Q ( b, c + a ) and R ( c, a + b ) are collinear. ( ) Prove that the two lines joining the mid-points of the pairs of opposite sides and the line
More informationAgtergrondkennis Graad 8 Meetkunde hersiening
gtergrondkennis Grd 8 Meetkunde hersiening N1 Lyne en hoeke: (1) nylyne: Twee lyne wt mekr sny. sny. (2) Hlveerlyne: Een lyn sny ʹn nder lyn presies in die middel. O = O. O (3) Ewewydige lyne: Twee of
More information