SENIOR CERTIFICATE EXAMINATIONS/ SENIORSERTIFIKAAT-EKSAMEN
|
|
- Ashley Mitchell
- 6 years ago
- Views:
Transcription
1 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.
2 Mathematics P/Wiskunde V DBE/06 NOTE: If a candidate answered a question TWICE, mark only the FIRST attempt. If a candidate has crossed out an attempt to answer a question and did not redo it, mark the crossed-out version. Consistent accuracy applies in ALL aspects of the marking memorandum. Stop marking at the second calculation error. Assuming answers/values in order to solve a problem is NOT acceptable. LET WEL: Indien 'n kandidaat 'n vraag TWEE keer beantwoord het, sien slegs die EERSTE poging na. As 'n kandidaat 'n poging om 'n vraag te beantwoord, doodgetrek en nie oorgedoen het nie, sien die doodgetrekte poging na. Volgehoue akkuraatheid is op ALLE aspekte van die memorandum van toepassing. Staak nasien by die tweede berekeningsfout. Om antwoorde/waardes om 'n probleem op te los, te veronderstel, word NIE toegelaat NIE. QUESTION/VRAAG Mean/Gemiddelde 89 7,8. Min 8, max 6 Median/Mediaan 9 Q 0, Q 4 (8 ; 0 ; 9 ; 4 ; 6). Answer only: Full marks Slegs antwoord: Volpunte 89 min, max median Q & Q ().4 The data is skewed to the left/die data is skeef na links. Negatively skewed/negatief skeef box/boks/mond whiskers/snor.5 SD/SA 6,46.6 7,8 + 6,46,64 destinations/bestemmings interval () () () () () []
3 Mathematics P/Wiskunde V DBE/06 QUESTION/VRAAG Temperature at midday (in C) Middaguurtemperatuur (in C) Number of bottles of water (500 ml) Getal bottels water (500 ml) (0 ; 5) answer. a 8,5 b,68 ŷ,68x 8,5. ŷ 6,5 bottles ŷ,68(8) 8,5 6,5 bottles.4 Strong/Sterk The majority of the points lie close to the regression line./die meerderheid punte lê naby die regressielyn. value a value b equation substitution strong/sterk reason/rede () () () () Strong/Sterk r 0,98.5 Temperature cannot rise beyond a certain point as this would be life threatening OR there is only so much water one can consume before it becomes a risk to your health (hyponatremia)./temperatuur kan nie hoёr as 'n sekere punt styg nie, anders raak dit lewensgevaarlik. OF n persoon kan net n sekere hoeveelheid water inneem, anders raak dit n gesondheidsrisiko strong/sterk reason/rede reason/rede () () [9]
4 Mathematics P/Wiskunde V 4 DBE/06 QUESTION/VRAAG y B(8 ; 0) A( 8 ; 6) T C F 0,54 D( ; 0) O 0 M x.. y y mad x x mbc y x + c c c 8 y x + 8 mbc y y m( x x ) y 0 ( x 8) y x + 8 [BC AD] [BC AD] substitution gradient () substitute m and (8 ; 0) equation gradient substitute m and (8 ; 0) equation
5 Mathematics P/Wiskunde V 5 DBE/06. m m BD BD y x m AD y x DB AD substitution m BD m AD.4 OR AD 7 or AD 7 or 6 AB 7 or AB 7 or 4 7 BD 00 or BD 00 or 0 AB AD + BD A Dˆ B 90 [converse Pyth th/ omgekeerde Pyth st] tan BDˆ M mbd BDˆ M 45 calculating all sides AB AD + BD tan BDˆ M m BD () OR sin BDˆ M BDˆ M 45 BM BD 0 0 s in BDˆ M ().5 x + x y + y T( x ; y) ; ; ( ; 5) T symmetrical about BM/T is simmetries om BM distance of T to BM 5 units distance from BM to C C( ; 5) T( ; 5) value of x value of y
6 Mathematics P/Wiskunde V 6 DBE/ mdf 8 ( ) Equation of DF: y y m( x x) y 0 ( x + ) y x + Equation of BC: y x + 8 x + x + 8 4x 5 x y C( ; 5) area/ opp BDF area/ opp BDM area/ opp DFM 0 ( 0)( 0) (0) 00 or or, square units/ vk eenh area/ opp BDF.BF.DM 0 ( 0) 00 or or, square units/ vk eenh eq of DF value of x value of y formula/method 0 (DM) 0 (BM) 0 or ( h) (5) formula/method BF DM (5)
7 Mathematics P/Wiskunde V 7 DBE/06 tan FDˆ M m DC or tan FDˆ M FM DM 0 0 gradient/ratio FDˆ M BFˆD 08,4 0 BF or 6 DF 8,4 (0) DF 0,54 + or 000 [Pyth DFM] 0 0 or [ext ] area/ opp BDF.BF.FD.sinBFˆD (sin08,4) 00 or or, square units/ vk eenh B Fˆ D DF correct substitution into area rule (5) 0 BF or 6 BD (0 0) + (8 + ) 00 or0 area/ opp BDF.BF.BD.sinDBˆ F 0 00 (sin 45 ) 00 or or, square units/ vk eenh BF BD formula/method correct substitution into area rule (5) area/opp BDF area/opp BCD area/opp BCF 0 ( 0 )( 5 ) ( 5) 00 or or, square units/vk eenh formula/method BD 0 BC 5 0 BF (5)
8 Mathematics P/Wiskunde V 8 DBE/06 tan FDˆ M FDˆ M BDˆ F m 8,4 6,56 area / opp BDF.BD.DF.sin BDˆ ( ). DC sin 6,56 00 or or, square units/ vk F or eenh tan FDˆ M FM DM 0 0 gradient/ratio B Dˆ F DF BD correct substitution into area rule (5) [8]
9 Mathematics P/Wiskunde V 9 DBE/06 QUESTION/VRAAG 4 y R(k ; ) T O C( ; ) x P S 4. radius tangent /raaklyn R CR CR CR CR TR ( x 500 ( k ) k + CT or 0 x k 6k 7 0 ( k 7)( k + ) 0 k 7 or k 5 + ( y + ( + ) 6k ) y ) (Pyth) substitution substitution () () standard form factors k 7 (4) CR 500 ( k ) ( k ) ( x 6 x ) + ( y + (+ ) k 4 or k 4 k 7 or k y ) substitution square form square root k 7 (4)
10 Mathematics P/Wiskunde V 0 DBE/ ( x ) + ( y + ) CS 0 and CS PS S(; ) y 4.6. S(; ) ( ) 4x 5 x 7 P( 7; ) 4 5 x x x 7 P( 7; ) 4.6. PT PS [tangents from common point/rklyne vanaf dies pt] units OR (; ) substituting equating R () () () () PC ( 7 ) + ( + ) 500 or 0 5 PT PC TC [Pyth th] PT 0 value of PC using Pyth OR PC ( 7 ) + ( + ) 500 or 0 5 PTC RTC [90 HS] PT TR PT 0 value of PC /R or proved 4.7. M(; 6) answer ()
11 Mathematics P/Wiskunde V DBE/ Radius r + r distance CM ( ) ( + 6) r + r 5 () CM > r + r Therefore the two circles do not intersect or touch./daarom sny of raak die twee sirkels nie. explanation []
12 Mathematics P/Wiskunde V DBE/06 QUESTION/VRAAG 5 5. P T R S 5..(a) 5 sin T 0, 45 value 5 5 () 5..(b) 0 cos S 0, 95 value 0 0 () 5.. cos(t + S) cos T coss sin T sin S expansion simplification or or 50 (5) 5. tan (80 + θ ) cos(60 θ )sin(90 θ ) cos θ tan θ cos θ (cosθ )(cosθ ) tan θ sin θ sin θ cos θ cos θ cos θ sin θ cos θ identity cos θ sin θ OR cos θ sin θ (6)
13 Mathematics P/Wiskunde V DBE/06 5. (sin x cos x) sin x sin x cos x + cos sin x cos x sin x cos x sin x x 9 6 squaring both sides expanding LHS using identity simplifying answer (5) [8]
14 Mathematics P/Wiskunde V 4 DBE/06 QUESTION/VRAAG sin x + cos x sin x + cos x 0 sin x + ( sin x) 0 sin x sin x 0 sin x(sin x ) 0 sin x 0 or sin x 0 sin x 0 sin x using identity standard form factors sin x 0 or sin x x k.80 or x 90 + k.60, k Z k k.60, k Z (6) 6.. turning point ( 90 ; ) turning point g (90 ; ) ( 80 ; ) & 80 o 90 o O 90 o 80 o (0 ; ) f 6.. ( 90 ;0 ) 90 < x < f ( x) g( x) 80 ;0 ;90 ;80 f ( x + 0 ) g( x + 0 ) x 0 ;60 ;50 () () any ONE correct other correct () []
15 Mathematics P/Wiskunde V 5 DBE/06 QUESTION/VRAAG 7 θ A D B C ABˆ D θ [alternate s; lines] BD 64 cosθ AB 8 θ 8 64 sin BÂD 8 BÂD 5,8 θ 8 correct trig ratio substitution into correct ratio (to the nearest degree) correct trig ratio substitution into correct ratio (to the nearest degree) BC AB + AC (AB)(AC) cos BÂC use cosine rule correct substitution (8)(87) cos8,6 into cosine rule 4, BC 0,97 m answer
16 Mathematics P/Wiskunde V 6 DBE/06 7. sind ĈB sinbdˆ C BD BC BD.sinBDˆ C sindĉb BC 64.sin0 sin DĈB 0,97 DĈB,8 use sine rule substitution [9]
17 Mathematics P/Wiskunde V 7 DBE/06 QUESTION/VRAAG 8 8. P M 8 O 48 T R 4 o S 8.. Pˆ [opp s of cyclic quad/ teenoorst e v koordevh] R 8.. ( ) 64 [ centre at circum/ midpts omtreks ] Ô R () reflex Ô 96 [ centre at circum/ midpts omtreks ] Ô 64 [ s around a point/ e om ' n punt] OMˆ S 80 ( ) [sum s / som e ] 87 Rˆ TMˆ P [ext cyclicquad/ buite koordevh] and R R () () () ()
18 Mathematics P/Wiskunde V 8 DBE/06 8. A B D E x C 8.. corres s/ ooreenk e; AB DC R () 8.. Ê x [tan - chord theorem/ raakl koordst] S R Bˆ x [ s opp sides/ e teenoor sye] Any s correct R Ê x [alt s/ verwiss e; AB DC] R D ÂB x /teenoor e m alternate/verwiss s/e; BC AD] (6) 8.. Dˆ 80 x [co - int s suppl/ ko binne e suppl; AD BC] S R Bˆ + Dˆ 80 ABED a cyc quad/ kdvh [converse opp s of cyclic quad/ omgek teenoorst e koordevh] R DÂB x Ê DÂB x m [opp s/ teenoor e ] OR/ OF [alt s/ verwiss e;bc AD] S R ABED a cyc quad/ kdvh [converse ext of cyc quad/ omgek buite v koordevh] R [8]
19 Mathematics P/Wiskunde V 9 DBE/06 QUESTION/VRAAG 9 9. in the alternate segment/ in die( teen)oorstaande segment () 9. A D B 4 C G F Â Bˆ 4 Dˆ Â Dˆ + Dˆ + Dˆ [tan chord theorem/ raakl koordst] [ext Δ/ buite ] S R R Bˆ 4 Bˆ [vert opp s/ regoorst e] Dˆ + Dˆ Bˆ [proven/ bewys] Ĝ [ s in same segment/ ein dies segment] R R AGCD is cyc quad/ kvh [converse ext cyc quad/ omgek buite kvh] Dˆ Â [ s in same segment/ e in dies segment ] R Â Fˆ [ s in same segment/ e in dies segment ] Dˆ Fˆ DC CF [sides opp s/ sye teenoor e] R (4) (4) (4) []
20 Mathematics P/Wiskunde V 0 DBE/06 QUESTION/VRAAG 0 M A B C K F V T 0. Constr/ Konstr : Draw line BC such that MB AK and MC AF Trek lyn BC sodat MB AK en MC AF Proof/ Bewys : In BMC and/ en KAF MB AK [constr/ konstr] Mˆ Â [given/ gegee] MC AF [constr/ konstr] BMC KAF [s s] MBˆ C AKˆ F or MĈB AFˆK [ ] but / maar Vˆ Kˆ or Tˆ Fˆ [given/ gegee] MBˆ C Vˆ or MĈB Tˆ But these are corresponding s/ maar hulleis ooreenk e BC [corr s / ooreenk e ] MV MB but / maar MV AK VT MT MC MB MT AF [prop theorem/ eweredighst; AK and MC AF [constr/ konstr] BC VT] constr/konstr / R / R S R (7)
21 Mathematics P/Wiskunde V DBE/06 0. E M H F G K 0..(a) 0..(b) 0..(c) 0.. In KGH and KEF Kˆ is common/ gemeen Ĥ Fˆ [ext cyclicquad/ buite koordevh] Ĝ Ê [sum s OR ext cyclicquad/ som e OR buite koordevh] KGH KEF [ ] S R naming third angle OR (4) EF KE GH KG [ s] EF KE GH EF [KG EF] EF KE.GH () KG EM KF EF [prop theorem/ eweredighst; MG EK] R but EF KG [given/ gegee] KG EM KF KG KG EM.KF KE.GH EM.KF 0 4 KE.GH EM.KF EM 6 substitution 5 units [9] TOTAL/TOTAAL: 50
NATIONAL 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 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 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 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 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 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 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/ 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 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 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/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/ 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 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 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 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 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 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 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
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 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 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 informationNATIONAL 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
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 informationHERZLIA SENIOR HIGH SCHOOL
HERZLIA SENIOR HIGH SCHOOL If you will it, it is no legend PRELIMINARY EXAMINATION GRADE 12 MATHEMATICS PAPER 2 MONDAY 5 TH SEPTEMBER 2016 MARKS: 150 TIME: 3 HOURS This question paper consists of 16 pages,
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 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/ 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 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 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 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 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 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/ 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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/ 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 informationMATHEMATICS GRADE 10 TASK 1 INVESTIGATION Marks: 55
WISKUNDE GRAAD 10 TAAK 1 ONDERSOEK Punte: 55 MATHEMATICS GRADE 10 TASK 1 INVESTIGATION Marks: 55 INSTRUKSIES: 1. Die taak moet ingehandig word op 2 Maart 2015. 2. Beantwoord al die vrae. 3. Slegs vrae
More informationSHW 1-01 Total: 30 marks
SHW -0 Total: 30 marks 5. 5 PQR 80 (adj. s on st. line) PQR 55 x 55 40 x 85 6. In XYZ, a 90 40 80 a 50 In PXY, b 50 34 84 M+ 7. AB = AD and BC CD AC BD (prop. of isos. ) y 90 BD = ( + ) = AB BD DA x 60
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 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 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
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 informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENIOR CERTIFICATE GRADE MATHEMATICS P FEBRUARY/MARCH 0 MEMORANDUM MARKS: 00 This memorandum consists of pages. Mathematics/P DBE/Feb. Mar. 0 QUESTION Time taken to complete task (in seconds)
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 informationUNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS
UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS VAN/SURNAME: VOORNAME/FIRST NAMES: WTW 218 - CALCULUS SEMESTERTOETS /
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 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 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 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 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 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 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 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 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 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 informationNozha Directorate of Education Form : 2 nd Prep
Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep Nozha Language Schools Geometry Revision Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. In the parallelogram, each
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 informationBC Exam Solutions Texas A&M High School Math Contest October 22, 2016
BC Exam Solutions Texas A&M High School Math Contest October, 016 All answers must be simplified, if units are involved, be sure to include them. 1. Given find A + B simplifying as much as possible. 1
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 informationAnswer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.
9.1 Parts of Circles 1. diameter 2. secant 3. chord 4. point of tangency 5. common external tangent 6. common internal tangent 7. the center 8. radius 9. chord 10. The diameter is the longest chord in
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 informationProofs. by Bill Hanlon
Proofs by Bill Hanlon Future Reference To prove congruence, it is important that you remember not only your congruence theorems, but know your parallel line theorems, and theorems concerning triangles.
More informationMaharashtra State Board Class X Mathematics Geometry Board Paper 2015 Solution. Time: 2 hours Total Marks: 40
Maharashtra State Board Class X Mathematics Geometry Board Paper 05 Solution Time: hours Total Marks: 40 Note:- () Solve all questions. Draw diagrams wherever necessary. ()Use of calculator is not allowed.
More informationBERGVLIET HIGH SCHOOL MATHEMATICS DEPARTMENT JUNE EXAMINATION GRADE 12 MATHEMATICS PAPER 2 9 JUNE 2016
BERGVLIET HIGH SCHOOL MATHEMATICS DEPARTMENT JUNE EXAMINATION GRADE 1 MATHEMATICS PAPER 9 JUNE 016 MARKS: 150 TIME: 3 HOURS This question paper consists of 11 pages and 14 questions. INSTRUCTIONS AND INFORMATION
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 informationSt. Anne s Diocesan College. Grade 12 Core Mathematics: Paper II September Time: 3 hours Marks: 150
St. Anne s Diocesan College Grade 12 Core Mathematics: Paper II September 2018 Time: 3 hours Marks: 150 Please read the following instructions carefully: 1. This question paper consists of 21 pages and
More informationMT - w A.P. SET CODE MT - w - MATHEMATICS (71) GEOMETRY- SET - A (E) Time : 2 Hours Preliminary Model Answer Paper Max.
.P. SET CODE.. Solve NY FIVE of the following : (i) ( BE) ( BD) ( BE) ( BD) BE D 6 9 MT - w 07 00 - MT - w - MTHEMTICS (7) GEOMETRY- (E) Time : Hours Preliminary Model nswer Paper Max. Marks : 40 [Triangles
More informationNATIONAL 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 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 04 MATHEMATICS: PAPER II MARKING GUIDELINES Tie: hours 50 rks These rking guidelines re prepred for use by exiners nd sub-exiners, ll of who re required
More informationMATHEMATICS: PAPER II
GRADE 11 STANDARDISATION PROJECT NOVEMBER 013 MATHEMATICS: PAPER II Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 13 pages, an Answer/Diagram
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 informationOplos van kwadratiese vergelykings: die vind van die vergelyking *
OpenStax-CNX module: m39143 1 Oplos van kwadratiese vergelykings: die vind van die vergelyking * Free High School Science Texts Project Based on Solving quadratic equations: nding the equation by Free
More informationOlympiad Correspondence Problems. Set 3
(solutions follow) 1998-1999 Olympiad Correspondence Problems Set 3 13. The following construction and proof was proposed for trisecting a given angle with ruler and Criticizecompasses the arguments. Construction.
More informationConic Sections Session 2: Ellipse
Conic Sections Session 2: Ellipse Toh Pee Choon NIE Oct 2017 Toh Pee Choon (NIE) Session 2: Ellipse Oct 2017 1 / 24 Introduction Problem 2.1 Let A, F 1 and F 2 be three points that form a triangle F 2
More informationST MARY S DSG, KLOOF GRADE: 12 SEPTEMBER 2016 MATHEMATICS: PAPER II. 1. This question paper consists of 27 typed pages. There are also 2 blank pages.
ST MARY S DSG, KLOOF GRADE: 12 SEPTEMBER 2016 MATHEMATICS: PAPER II Examiner: S Drew TIME: 3 HOURS Moderators: J van Rooyen J Kinsey TOTAL: 150 MARKS INSTRUCTIONS: 1. This question paper consists of 27
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 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 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 informationGRADE 12/GRAAD 12 NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT
GRADE /GRAAD NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT MATHEMATICS P/WISKUNDE V NOVEMBER 06 MEMORANDUM MARKS: 50 PUNTE: 50 Tis memoradum cosists of 0 pages. Hierdie memoradum bestaa uit
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 informationVermont Talent Search April 12, 2011 School Year Test 4 Solutions
Vermont Talent Search April, 0 School Year 00-0 Test 4 Solutions Problem. Find the area of a triangle whose medians have lengths of 39, 4 and 45. Let M be the center of gravity or centroid of the triangle.
More informationVAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: FOONNO. GEDURENDE EKSAMENPERIODE / PHONE NO. DURING EXAM PERIOD:
UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 220 - ANALISE / ANALYSIS EKSAMEN / EXAM 12 November 2012 TYD/TIME:
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 informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P NOVEMBER 009 MEMANDUM MARKS: 50 This memorandum consists of 5 pages. Mathematics/P DoE/November 009 QUESTION B( ; 5) y O // M A(5 ; ) // C ( ; 5) D(9 ; 7).
More informationUnderstand and Apply Theorems about Circles
UNIT 4: CIRCLES AND VOLUME This unit investigates the properties of circles and addresses finding the volume of solids. Properties of circles are used to solve problems involving arcs, angles, sectors,
More informationNATIONAL SENIOR CERTIFICATE GRADE 12
NATIONAL SENI CERTIFICATE GRADE MATHEMATICS P NOVEMER 009() MEMANDUM MARKS: 50 This memorandum consists of 5 pages. Mathematics/P DoE/November 009() QUESTION. 5,5 Mean 43, 5 ANSWER ONLY: Full marks. Ordered
More information