NATIONAL SENIOR CERTIFICATE GRADE /GRAAD10
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1 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 answered a question TWICE, mark only the FIRST attempt. If a candidate crossed out an answer and did not redo it, mark the crossed out answer. Consistent accuracy applies to ALL aspects of the marking guideline. Assuming values/answers in order to solve a problem is unacceptable As n kandidaat n vraag twee keer beantwoord, merk slegs die eerste poging. CA (deurlopende akkuraatheid) geld te alle tye. Copyright reserved Please turn over
2 Mathematics Gr P/Wisk Gr V LimpopDOE/November 7 NSC- Grade - Memorandum As n leerder n vraag doodgetrek het, maar nie oorgedoen het nie, moet die doodgetrekte antwoord gemerk word. Veronderstelling van antwoorde om n probleem op te los, is onaanvaarbaar QUESTION /VRAAG. 5 Mean/gemiddeld 5 48, Method /metode Answer/antwoord () Arrangement/ rangskikking.3 Median/mediaan = Q 36,5 Answer/antwoord () Q 6 6 Q3 =6 Q 3 ().4 scaling/ volgens skaal diagram.5 Let x be the grade on the next test./stel x = die volgende punt x Mean/gem 4 64 x x x 96 The grade on the next test must be 96 to can have average of 9. / Die volgende toetspunt moet 96 wees. () Method/metode simplification/ x=96 answer/antwoord QUESTION/VRAAG []
3 Mathematics Gr P/Wisk Gr V 3 LimpopDOE/November 7 NSC- Grade - Memorandum. Counts Mass of 5 Learners Chart title/ Opskrif label x-axis/ benoem x-as label y-axis/ benoem y-as shape/vorm Mass (kg). 5 m 56 answer/ antwoord () answer / antwoord () [6].3 5 m 56 QUESTION/VRAAG ( ; ) T [Diagonals of a rectangle bisect each other] (diagonal van n reghoek) 3 ( ; ) =T 3. 3 [ 4 ( )] [ ] RT or 3,53 units/eenhede m QN 3 4 m PN 3 4 method/metode answer/antwoord () method/metode simplification/ answer with Units/ antw met eenhede (3)
4 Mathematics Gr P/Wisk Gr V 4 LimpopDOE/November 7 NSC- Grade - Memorandum mqn m PN QN PN m QN m PN mqn m PN conclusion / gevolgtrekking 3.4 T is the midpoint of QS. [Diagonals of a rectangle]/ T is die middelpunt van QS (diagonale van n reghoek) 3 x 3 x x 4 y 3 4 y 3 y S(; ) method/metode x y S (; ) OR/OF 3.4 y 3 x 3 y 3( x 3) y 3x 7 y x 4 3 () equation/verg. () 3y 3 x 4 x y 3 3 () From () and (): x 3x y 3 x 4 x equation/verg.( ) x value / x-waarde
5 Mathematics Gr P/Wisk Gr V 5 LimpopDOE/November 7 NSC- Grade - Memorandum x From () y 3() Yes./Ja SSS or/of RHS y-value / y-waarde answer /antwoord reason/rede () [5] QUESTION/VRAAG r [Pythagoras] r 69 r 3 units cos cos ec Pythagoras answer/antwo ord () answer/antwoord () answer /antwoord () 3 a 5 a a 4 units opp. side tan adj. side / cos ( ) teenoorst sy aangrensende sy Pythagoras a 4 units/eenh ede answer ord substitution/ vervanging /antwo (3) answer
6 Mathematics Gr P/Wisk Gr V 6 LimpopDOE/November 7 NSC- Grade - Memorandum 6 5 /antwoord () [9] QUESTION/VRAAG sin 45 cos 45 cos 3 tan 3 4( )( ) () 3( ) 3 = -- = 5.. sin cos sin 38, 5 cos3, 4 =, ,5 3, 4 tan( ) tan( ) =, cos (, 673) 47, sin( ), 736 sin (, 736) sec 3, 358,358 cos3 cos3,358 cos( ),358 3 =4,9 sin (, 736) =33,7 simplification/ answer/antwoord (5) substitution/vervang answer/antwoord () substitution/vervang answer/antwoord () answer/antwoord () sin (, 736) simplification/ answer/antwoord (3) cos3 answer/antwoord ( [5]
7 Mathematics Gr P/Wisk Gr V 7 LimpopDOE/November 7 NSC- Grade - Memorandum QUESTION/VRAAG C 9 47, [complementary angles] /(komplementêre e =4, , sin 47, AC 4, AC sin 47, = 5,6 units/eenhede 6. 7 tan A 5 7 A tan ( ) 5 =48,58 method/metode answer/antwoord () method/metode simplification/ answer/antwoord (3) definition/ definisie simplification/ answer/antwoord (3) [8] QUESTION/VRAAG 7
8 Mathematics Gr P/Wisk Gr V 8 LimpopDOE/November 7 NSC- Grade - Memorandum 7. y turningpoints of f/draaipunte van f O f g x intercepts with x-axes/x-afsnitte y-intercept/ y-afsnit shape of f/ vorm van f shape of g/ vorm van g 7. Amplitude of/van f is answer / antwoord () 7.3 Period of/van g is 36 answer / antwoord () [8] QUESTION/VRAAG 8 (6) Total surface area /buite opp= (5 4) (5,5) (4,5) 65m l : m xl : 65m x 65 x 65 x 3,5l 6 r 3 m Total surface area/buite opp r rh 9 3(, 5) 4 m l : m xl : 4 m x 4 x 4 x litres/liter OR 37,7 litres/liter method/metode 65m simplification/ 3,5 litres/liter r=3 m substitution into correct formula/ vervang in regte formule simplification/ method/metode π litres OR 37,7 litres (5) [9]
9 Mathematics Gr P/Wisk Gr V 9 LimpopDOE/November 7 NSC- Grade - Memorandum QUESTION/VRAAG a 8 73 [co-int. s/ko-binne e AD BC] =7 b 73 [corr. s /ooreenk. e AD BC] c 7 [co-int. s /ko-binne e AB DC] d 73 [co-int. s /ko-binne e AD BC] 9.. a 6 [alt. s/verw, e QP ST] d 55 [alt. s / verw, e QP ST] c 8 (6 55 ) [ s of a / e van ] 65 b 8 65 [ s on a strt. Line/ eoptr lyn 5 SR SR SR SR SR SR SR SR y 5 7 [Pythagoras] 576 y 4 mm EG 39 7 mm 3mm x y EG [Pythagoras] 4 3 6mm 4mm 9.. MO ON MN [Pythagoras] 8 6 MO cm x () [converse of mid-pt thm/omgek van midptst] 5cm Pythagoras y 4 mm EG 3mm Pythagoras x 4 mm Pythagoras R x 5 cm R (5)
10 Mathematics Gr P/Wisk Gr V LimpopDOE/November 7 NSC- Grade - Memorandum y 6 [converse of mid-pt thm/ omgek van midptst ] 3cm [8] y = 3cm (5) TOTAL:
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