Mathematics Grade 12 Paper 2 Mpumalanga Mock 2025 Memo

   #$AB#C %#ABD%$AEAD$%  #AB#C%%#AB  %$AEA$       FG%'HFG'H    I $>%$AD!!%HJA"#G%K%$%CH  %!$%L%H)H(  A#FF"AG%CA#%#A%#AFCM#  !"#$%&'()  $*+,+-./01233415+612+,782,1,98:';<.3+,= >1+/51+2.,1+2/136?2@+,9..2419';@6.5,?+=  1234567895 5 23657 22582  952 562 6

012345126789 9 684   090942454  01664!649"18646!#$ *+,-./ 01 2)171612418344144826%5 2651%!#23472851224529 01 2)17161247%884%21183416%24%626512347%884"%218349 01 %86824217717#1!6482%:;;184728%)23451664!649 01 :8856&1!489183486%42%8%!&41%!4568177421!49  <-,/=-<./ 01 :8>16112>&115 444123%%34268648!486485%619 01 :8>16112>123%%44311!464%%4%43426468646444311!4 123%%19 01 %!43%41 11234668%:;;18424&16418646!#&12%418869 01 6268%11&1111%5311489123%%424&4%4824!%5>%!445%24!%89  / ?@-A,B+*/C D9D EFDGH6DDIDJH QRSTUVSWXRRY KFL 6JIDMDG QLZZVWZRZS[ZU NOFDGH6DDL6JP Q44126%9&44!#6  \I] D9 }svu‡vuvwsr~ƒr}upqrstuqruˆ tƒr}uyzqx{sv ^1884823%3234 ^ 831 49&%5 q ~s€~qpuxssrqq€u}sz~uvwr~ss€uqwuzs€s 541%62\IJ6D_` lkgg JD6JG]9464 pqrstuvwsrxuqruyzqx{svu|u}sz~u ljgg 4564!42 ligg lhgg  lggg \IJ6D_` JD6JG]  vwr~ss€uqwuzs€su kgg jgg 9  igg  hgg ] \] g g lg hg mg ]‰ ig ng jg og }svu‚ƒruts€v„uq ~s€~qpu‚ƒru†€s„  D9I aFL[VYUL[VYXXXSbFcL[VT[ Q1834 123%% \D] D9_ NOFRSTUVSdLZZVWZeS[fDGH6DDL6J\] Q8826226%9 ccFdYZVSdGG6DD 88262864 897 Q1834123%% \] %#632484&49'%644&%%43%!41842%&49(!116%51884!64)   

012345126789 9 684   090942454  016!64"649#18646"$% +,-./01.233333334567*&571"7"12&878144118 99: ;;<8=4 >? @268A4"61"48674234468A9!7&4"126&42=44234 ;&24"61"4 '161"489@268:<@9BC4"61"486742344681<9<! 6442&11 7&4"126&42=44234'161"48? ;&282&964 DEFGEHGIJKGLMFNOPLQQNGREMGSQRFGTQQNGEHGREMGURGVWKXYG&4"18642884 824 TEMGZMNQRTMN[E\MHGREMG]GDEFGEHGXKDK^JYGLMFNOPLQQN_GSQRFGTQQNGEHGURG 99: !0@B&4"1864? ;:16"$4"61"49 44"642&11 ;1'414 7&4"126&9 4564"4 &4"186478 >?4 A341642=6""9<747&545&44126'48=34234&62 ;67418475&4 6845&'4? 4126'48 6416̀281"90@9754441264*=&818642 9'454447544 '4=$4=&? 41264*87>8   abbcd d efghijkldmdndopqqrdm d ys ’†ˆ‡~ˆ‚Š‹†d„Šd“ˆ~”ˆ‚„Š”dƒ†ƒdnd’ˆ†ƒ‚„†d„Šd“ˆ~”ˆ‚††ˆƒ~†ƒd }~€‚ƒ„†d‡ˆ†‰€†Š‹Œn€€‚ƒ„†Ž†d‡ˆ†Ž†Š„† xs ws vs us ts s s ts us vs ws xs ys zs {s |s tss ‘‚ˆdnd’€Šƒ† ?>?>82428982424 ;18=4912=&& 7>8 &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% +,+ -.1.023-4.  /00 89:; 5.518924&9&*67  86<= +,+9   82 >?@ABCDEFGDHGIJJKG P@NQENMRSCHKG UEVEW?FOXNGH@NQENMRSG 8,9'1"489,49 LEMFNGCEOFGIJJKG P@NATNMBONCHKG YEVEW?FONTNGH@NATNMBONG c1148 0Z[\/0 , , 81""'1"4891"64 9  c1148 /0Z[\]0 <= ]0Z[\30  ^  30Z[\_0 ,, ,`  _0Z[\.0 , 9,  `   .0Z[\50  50Z[\-0    -0Z[\a0  `  a0Z[\b0 ,    +,+ 856289 [d2e/1.fge31/.fge_1]..fge 0 //13.fghge/1a.f 564"c1148 86'64$944" 2].]0b02_.4a 4 818c4912c&& i9j  88818c49 i9j 12c&&<9= ;^<*&571"7"12&=<'1814411=   + lk 56  t  m25nopq t6 k r6k9,  s '&7348c6""4*4494c$8481"1268c448 t<9=   G uIIvG  G G G G G G G &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  01664!649"18646!#$ * +,-./012*3*4*56778*3*   S S  S   S S  S S    TS S   S 9:; @>? BA<  C826226%62% A= 2347%472)%5!1  9 B &4&16%424 )%5!4  C9 DE 9: @>F BA<  CK8826226% A= &4&1   9 B C9  G126%%)0H68IB9JD44!#6&10HE C4G126%9 &44!#6 D9E 9: IBJA;= C@?F B @>LB@?F BHM0  C8%)9&4&1  DAQ=E  C18R4912R%% G126%%)H 16*4*1N* IAI;B@DJAJ;E16*41N****=BDAEO7 C@?F B IA=BDJO E=O;B7 C8%)9&4&1 PIBJO;=7B;= DAQ=E C18R4912R%% D9E %#632484&49'%644&%%43%!41842%&49(!116%51884!64)   

012345126789 9 684   090942454  016!64"649#18646"$% ,-. 01,/19401/32.   /32.1,/ <4=126 9'44"$684"$ 5/164  /16. </16. 016  ;9:6.867 <016:,7 ,- @>? 1 O 21A 1 B <O21A 1O A154DC @E? 1, <O54DCBO O 21L1KIJ,HFG O L1D,2B <OD,2B OO ;M1A6L N D,4 <O D,4B:.7O ,- 91 6.3 3 6 ~  :6.7  O <OqrO N2.&   O 09NPQRSRTUSQVSVTU O NWXYZ&9&*RW[\ <OsrO  O ]41&*^ 0994'"124'1_ 09 O O 12>?-E?-86M <62&234141 "49'4'16& 12 -. 2,-86 D,4B&2 2.-. 2,-86 D,4B 4t"  14 u]8v4912v&&  wxyO `abcdefghijVdklmnoU944344p   +++++++++++++++++++++++++++z{|}++++++++++ + + + + + + &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

 012345126789 9 684   090942454  016!64"649#18646"$% +,-./012343536788934 x o    xo    xo   xo     :;< =2142?168=2142>?168=11"$> `&239464 =2142?168=2142>?168=11"$> 4a468 C@1"648&1821632"64?1A1742D 8E <B> `&23418&89 CFGHIHJKHLHMNHOPHQKHRJSTUVHMWKXHYZ[KSRJK\JK]JHD4^<B_> 464448bc :; gef Ed dEd  `88262&*&5"1 <d '4'16*&5"4 `18a4912abc :;h gfi Ed `ogfi k dk< Ed  j dj<  `8829'4'16 dlm Ed   nd<  bc nEh :;: g21pqrnE<o   `u  tfskdk<Egbjdj<co   `8829'4'1  km E<bjd<co  bd <v c kE<jdo `4w126& '44"$6 ;bhc  &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% 6823456&62&*767"496864564"2'164864" ,- /12  0.  9:;< 20  54 043  9=;>?@ 504/ A9B 18C4&"$98"48 784/6 12C76 ,-3 HG0FJE168I2142DE168I11"$D 99A  MKL68234615424&*767"4HE7&'484N68456#767"4D H6864564""$'164864"E3&4631"C4864"&5 4444D^  A KL0 746171/6  KL0 1/  KL0/ 9A1680 MOPQRST0  1 4/   562KL0W U 8 V X  95629564"2 Y Z  [74 86[7424&*767"4952'1864" 9_`aA`  "'1864"9]126& &*767"4H\7246175160  _(4A(76 ,-b 67"47424\2 15 064"542564"2 9O 0 9 615424 6154240 564""$ 564""$ c Oc  ^de@;fd< c Oc ,  94&628 4624 7,6   ghij + + + + + + + + &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% + ,-./0123454647899:45 ;< c+   +  j+    egh+ d+ ef+  gi+  ;<;<=>?@ABCD+ F++61156G112H CE 84286I112H+ F++JAC KL E+ F+++BKMN+++++++++++++++++++++++++++++++++OHP ;<;?QRD@AD?QR@= >?@ FD?QR@=>?@ T KL ADSBKMUSBKMU F8826226&9'4'16 AKKLWVX F18I4912I&& OHP ; [ < ZOZ21YP \7&8Y; 7&8Y;7&8Y \7&8Y+ [7&<8YZ21Y \++Z21]Y+ [7&<8YZ786 Y \++7 86Y+ &8Y &8Y [<Z7&886YY   [7&8Y \7&8]Y 7&8Y \18I4912I&&O^P [<    _`ab4  + + &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% +,-./0123435367889343 :;; @AB?=86<=7&8<>  86<= 7&8< H=86< ?= 86<;7&8<86 =7&8<>86<>7&8< H86<;7&8< <= 7&8<  ?868< = 86<;7&8< 6<= 7&8< H86< H7&55&*172&9 ?86<86D8<6=<=7&78<&8<C 45448*12& ?86< H865"6*67126& F@AB?EAB '444'&66 3 1751G3 3 = 8 33333@AB? 86<= 7&8< 6  < =7&8 < > 17351G3 H=86< = 8 6< ? 86<= 7&8<  ;7&< 8 > 86  < H86<;7&8< ?868< = 86<;7&8< 6<= 7&8< H86<>7&8< H7&55&*172&945448 8 6  < D86 ? 86<= 7&8< < = 7 &8<C *12& ?86< H865"6*67126&9 F@AB?EAB '444'&6 IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIDCI :;;86<= 7&8<? H86<= 7&8<?I 86<? 7&8< I 7&8< 7&8< I 21<?  HI21<? I JKLMNOMP XYRSSLNTZUPI JKQRSSLNTUPVLMNOMPW HII:\][\IIIIIIIIIIIIIIIIIID[C :; 86_D`>[ZC=D`>\ZC^?7&8D`= ZC H&5&1"49 8115 4824"43Z&4I 86D`>C?7&8D`= C Z Z HII86D`>CI 7&8_aZ=D`>ZC^?7&8D`= ZC HI IfghijkPRlmnSkPopI X4q126r89824"s44"$ a=D`>C?eD`= C>c\:cdb Z Z Z Z XmKRLkPntMLkP XmKMMNMMPntSukPD:C `?=: >c;\:cdb&%%`?\\]\\ =c;cdb &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% c<P fAeB> 7&8ed   j gGhVijQFLFL ?++GhVi QFLFL ghViGQFL ?64262$964262462 01R'1"49018@114g[ ?18@4912@&&APB   `akb4 + ,-./0123454647899:45  ;< =5"624>  ?18@4912@&& AB ;< CDEFGHIJGHIK NNCDELJMKOOOOOOOOOOOOAB CDELJMK ;<P ?CF624742 CF1*862  ?QF6247428 QF1*86224  ?06901R&628 06951824  APB44  ;<S TUFGOOOOVWXVYOOOOTZG NTUFG NTZGAB ;< FLG[\]QU[\+ NNFLG[\]QU[\+ I[\UQUGL[\+ N^_____I[\UQUGL[\ APB   `aab       &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454  016!64"649#18646"$% RSTUVWXYNZN[N\]^^_NZN    +, -.)   86)/0) 326126&9'43&6 8620) 1 38829'4'1 1 318449124&&567 )0862 +, -.8)9 3BCDEFGHIJK / 8)0+ >5<?=7:85&*@86. ;:8&564@4'1.; 868/086/ 388262&864"49 ) 8) A '4'1686#4L" 86< 086:+>5<?=7; 1 8)  862 3865"6*$9'444'&6 8),86<,86201,865<?=7 8)018866<5<,86?2=7 3865<?=75M7    NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNOPQ     &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454   016!"64#649$18646!#%&  ,-./0123454647899:45  ;<             T 7'82726'9'82864     '82726'9)'82864=>'69(4614?242'@94  (4#4!1@  BCA= TTU AFD166E AGF DH8'F8648ED3'44244''!4#%48%4E T9U G I GFAGKJGD4?2I '+C ED6243'4(1CE  G LF  J G  656#1#%6CM98''2!4#%6CM=   LGF JG T LGKLGF JGK JG  NNNNNRLGQ F PJGKJGON T PVO G SRLQ F RJQ G  N N N N N N N '%6!32484(49)'644!(''43'#41842'(49*#116'51884#64+   

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

012345126789 9 684   090942454  016!64"649#18646"$%   +,-   r      qV-      1^-  )               0 +,-, 1204+5/213168./168311"$. [\0  )204+5/213168./168311"$.   [90  8107)0462 2 5   9:;<=6817$7"67>1/&?8&*>18.  [0 8@ABCDEFDGHDIJKDDDDDDL244&&82M4'1(N&5 4444.  OPQORS OPQORS 124+5/213168./168311"$. S 2 \0 )04+/213168./168311"$. [90 80)16817$7"67>1/7&'4844T2M &*17$7"67>1UV  8@ABCDEFDGHDIJKDDDDDDDDDDDLWXEYZM'1(N&5 4444. [0]^_S  +,-, `2)4+/"64*&57424767"42&562&*73&.  /"$'11*562864"152&&. [[0 82-4+ b)2/85&*M a86c ./8&564M4'1c.   51192)2 4+ b)2 5 [  2-4)2 /&2394644+ b2 ).    80)6812142188623&3`d1)/7&'4842173&234&45. 8@ADEFDGHDeffghiHDjZXeDklDBDZHDADDDDDDLeffghiHDgmmejDFYZhhEHnDmonZgZZejZp [0]^_ +,-,- 12 4+ b12/213168./168311"$. [90  [90 &$632484'49(&644'&&43&"41842&'49)"116&51884"64*   

012345126789 9 684   090942454   016!"64#649$18646!#%& 51192-,0, *.21$73'234'45/.11#%''824##6!/   491-,1 0* , 3 .28'08648/.34244''!4#%48%4/  45 -*  ,7*,7-,7-, 068.85'+32865/.8'56434(15/  ; ,7*,7*,798:*,7*,068 18<4912<'' ,098: *, =1>   ????????????????????????@ABC???????????? ? DEFGHIJK?LM?N?OPQQR?LM   S S T " 0U.'234'45VWU"/.4<446!346824##6!/ ; " U  10U ;X U => T *" 0Y*.'234'45VWY"/.4<446!346824##6!/ ;9X * *  *" 01  *   T*"TZ 9 1  Y41'+5 Y*" 0  0    X 9[  ;9X Y41'+5 Y" T"TZ  \   1  _ ]^`  ;18<4912<'' =1>   ??????????????????????????????????????@aC? S '%6!32484(49)'644!(''43'#41842'(49*#116'51884#64+   

012345126789 9 684   090942454   016!"64#649$18646!#%&  *+,-./01233242567782332     e           0    d[  L    [  Cd   9 :;<=>;?@2173'234'45A@11#%''824##6!A BCDE 9 9:; <=>;?@'(4A@4F%8A  :;G=>;?HHHHHHHHHHH@1#2I8J(4FK4JL0MNOPA c9C Q:;G=:;<@RH>;?A c   9>ST:=UVG@4W2I'X7%7#67Y1A@624K(1)ZA B 9C [9>;<=\;?@85'XI8'X]^A@8'564K4(1_A BC Q`H:>SHHaH]:\U@bbbA@ZZZA DdE  9[ Cef e@ggg_h8A c9CDE CL L0  CLiefL0iCe 9d kl=jm jk HHopqrpHsturqurvw\UHHN:Sx@4F446!346824##6!A c9C mnH \:=\UHHHo]ax  :> S>  y\z\:=yU z\U  \: :> US S> B y\=yU z\U =yU z\U  :> US S> S> US c8826226'9(4(1! y\={z}  :> <| { B18F4912F'' =G DdE   ~3€2 '%6!32484(49)'644!(''43'    

012345126789 9 684   090942454   016!"64#649$18646!#%&   -.-/01-.-//02345, , '%6!32484(49)'644!(''43'#41842'(49*#116'51884#64+