NATIONAL SENIOR CERTIFICATE GRADE 12
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1 NAIONAL SENI CERIFICAE GRADE MAHEMAICS P FEBRUARY/MARCH MEMANDUM MARKS: 5 is memoradum cosists o 9 pages. Coprigt reserved Please tur over
2 Matematics/P DBE/Feb. Mar. NSC Memoradum QUESION.. 9 ± or ± 9 ± or.. b ± b 4ac a ± 4 ± 5,4 or 4, subs ito ormula 5 aswer aswer 8 as commo actor simpliicatio aswer 8 as commo actor 4 aswer Coprigt reserved Please tur over
3 Matematics/P DBE/Feb. Mar. NSC Memoradum..4 4 > 4 < 4 or 4 cage o sig bot critical values correct iequalit sig < < 4 4 > metod bot critical values correct iequalit sig < < commo actor aswer.. I 4, > < 4 Largest iteger value o is 4 substitutio aswer 4 > [] Coprigt reserved Please tur over
4 Matematics/P 4 DBE/Feb. Mar. NSC Memoradum QUESION.. r 4 p 5 p 8 substitutio aswer p 4 5 p p 84 p ± 8 p 8 p 4 5 p p ± 8 aswer p p 89 p 8 p 5 4 simpliicatio aswer 4 r p 4 p 8 a r S r 8 5 S [ ] 4 r simpliicatio aswer ormula substitutio aswer Coprigt reserved Please tur over
5 Matematics/P 5 DBE/Feb. Mar. NSC Memoradum S S.. < r < 8 [ r ] a r ormula substitutio aswer aswer e commo ratio is < < wic is betwee ad. aswer aswer..4 S a r 5 5 7,7 ormula substitutio aswer Coprigt reserved Please tur over
6 Matematics/P DBE/Feb. Mar. NSC Memoradum.. aswer substitutio ito equatio 48 aswer... [ 8 ] S > 4 4 > 9 > [ a d] > 4 We, S 4 Smallest k k k 5 a 8 d k 5 [ ] > 4 [ 8 ] actors aswer substitutio ito correct ormula aswer 5 [] Coprigt reserved Please tur over
7 Matematics/P 7 DBE/Feb. Mar. NSC Memoradum QUESION. Jacob calculated tat te sequece is geometric or epoetial. Vusi calculated tat te sequece is quadratic. Jacob geometric/epoetial Vusi quadratic Jacob as multiplied eac term b to get te et term. Vusi sees it as a sequece wit a costat secod dierece. Jacob calculated tat te sequece is geometric or epoetial. Vusi calculated tat te sequece ca be see as a combiatio o epoetial ad cubic sequeces. Jacob multiplied eac term b Vusi costat secod dierece Jacob geometric/epoetial Vusi epoetial ad cubic combied.. aswer aswer 8 a a b a 8 b b 9 a b c c c 9 a metod b c 9 a a Coprigt reserved c 9 a b b 9 b 9 9 a c 9 metod b Please tur over
8 Matematics/P 8 DBE/Feb. Mar. NSC Memoradum a a b c b c i.e. b c 9 b c i.e. 9 4 b c 8 b b c 9 9 a metod b c 9 57 k 4 k 4 4 k 4 k k substitutio aswer [7] Coprigt reserved Please tur over
9 Matematics/P 9 DBE/Feb. Mar. NSC Memoradum Coprigt reserved Please tur over QUESION 4 4. R ; aswer log log log log log 4.4 sape itercept at ; a oter correct poit [ ] [ ] RHS LHS LHS RHS [ ] [ ] [] ; -
10 Matematics/P DBE/Feb. Mar. NSC Memoradum QUESION 5 C ; B,5 ; a g a,5 a a g F ; p q substitute B,5 ; a -coordiate -coordiate [] Coprigt reserved Please tur over
11 Matematics/P DBE/Feb. Mar. NSC Memoradum QUESION a b c g 8 S ; 8 R g P ;. B smmetr, P ; a 4 8 a 4 a 4 8 a a 4 a a 4 substitutes S ; 8 a multiplies out correctl to get 4 a 8 substitutes 4 ; a multiplies out correctl to get 4 Coprigt reserved Please tur over
12 Matematics/P DBE/Feb. Mar. NSC Memoradum or at R, 8 i.e. R ; < 4 8 < 8 4 < 8 < 8 ; ; 4 < 4 8 < 8 4 < 8 < 8 R ; 4 8 < 8 4 < 8 < 8 ; ; 4 8 < 8 4 < 8 < 8 R ; [] Coprigt reserved Please tur over
13 Matematics/P DBE/Feb. Mar. NSC Memoradum QUESION 7 7. F P i R log,, 4,, 4,,,,7 ereore se will make witdrawals o R. ormula substitutio aswer ormula, i substitutio ito correct ormula, correct use o logs aswer o witdrawals, 4,, 4,,, log log,7 ormula, i substitutio ito correct ormula, correct use o logs aswer o witdrawals ereore se will make witdrawals o R. Coprigt reserved Please tur over
14 Matematics/P 4 DBE/Feb. Mar. NSC Memoradum 7.., 4,, Se ca make as ma witdrawals as se pleases., 4,, coclusio [] QUESION 8,8 r r,47 r 8,4544% r 8,%,8 i aswer [] Coprigt reserved Please tur over
15 Matematics/P 5 DBE/Feb. Mar. NSC Memoradum Coprigt reserved Please tur over QUESION 9 9. lim lim lim lim lim lim lim lim lim substitutio epasio ormula aswer 5 ormula substitutio epasio aswer d d 5
16 Matematics/P DBE/Feb. Mar. NSC Memoradum 9. 7 a b 7 a b a b substitutio o 7 a b 7 a b 5 a b 5...[] a b 7...[] a...[] [] a b - a b [5] Coprigt reserved Please tur over
17 Matematics/P 7 DBE/Feb. Mar. NSC Memoradum QUESION. ;. ; 5 or 5 ± 4 5 ± wic as o solutio ; 5 ± o solutio ereore te ol -itercept o is..4 or ; 7 or 9 ; 9 actors -values 5 ; 7 ; 9, ;,9 urig poit - ; 9 urig Poit sape itercepts turig poits [4] Coprigt reserved Please tur over
18 Matematics/P 8 DBE/Feb. Mar. NSC Memoradum QUESION. Legt o bo Volume l b 9 9. C C C dc d ereore te widt o te bo is metre. legt o bo 9 5 substitutio o 8 5 substitutio o dc d dc d [] Coprigt reserved Please tur over
19 Matematics/P 9 DBE/Feb. Mar. NSC Memoradum QUESION. regio ABIJ saded A B C D J NOE: I regio BCEFGI is saded: award ONE mark I a oter regio is saded: award marks E 5 I aswer.4 At I5 ;, P H G F Maimum value o P is we 5 ad C k k C k < k > 5 substitutio maimum value o P is k C k > NOE: Aswer ol: award WO marks [] OAL: 5 Coprigt reserved
NATIONAL SENIOR CERTIFICATE GRADE 12
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