# Mathematical Literacy Grade 11 P2 2012 Memo (Afr)

> Grade 11 Mathematical Literacy Paper 2 memorandum from the Eastern Cape November 2012 (Afrikaans), 8 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/mlit-p2-gr11-2012-memo-afr/b784093e-7b98-4716-81a2-3983fd3ffb42
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 11
- Document type: Memorandum
- Year: 2012
- Exam period: Eastern Cape November
- Paper: 2
- Curriculum: CAPS
- Pages: 8

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## About this document

Mathematical Literacy · Grade 11 · Eastern Cape November · 2012. Memorandum, 8 pages. Read online or download the PDF.

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## Document text

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### Page 1

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                    Province of the
                    EASTERN CAPE
                    EDUCATION

                            NASIONALE
                        SENIOR SERTIFIKAAT

                               GRAAD 11

                          NOVEMBER 2012

             WISKUNDIGE GELETTERDHEID V2
                    MEMORANDUM
PUNTE:   100

  Simbool      Verduideliking
  M            Metode
  MA           Metode met akkuraatheid
  CA           Voortgesette akkuraatheid
  A            Akkuraatheid (Antwoord)
  C            Omskakeling
  S            Vereenvoudiging
  RT/RG/RM     Lees van tabel/Lees van grafiek/Lees van kaart
  F            Kies van korrekte formule
  SF           Substitusie in formule
  J/O          Mening
  P            Penalisering vir geen eenhede, verkeerde afronding, ens.
  R            (Afronding / Rede)

                   Hierdie memorandum bestaan uit 8 bladsye.

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2                             WISKUNDIGE GELETTERDHEID V2                    (NOVEMBER 2012)

VRAAG 1

1.1
LU3
AS
         1.1.1 1 tlp = 5 mℓ                      OF       tsp = 15/5               1:C (mℓ
11.3.2         1 etlp = 15 mℓ                                 = 3 tlp x 2          na tlp)
               15 mℓ = 3 tlp                                 = 6 tlp              1:M (x2)
               Daarom is 30 ml = 3 tlp x 2                                         1:A
                               = 6 tlp                                       (3)

LU3
AS       1.1.2 1 blikkie = 4 mense
11.3.2              20 mense 
                     4 mense                                                        1:M
                  =5                                                               (20/4)
               Om 20 mense te bedien sal 5 blikkies nartjies benodig                1:A
               word.                                                          (2)

LU3
AS
         1.1.3 ºF = ºC x 1,8 + 32
11.3.2             = 220º x 1,8 + 32                                               1:SF
                   = 396º  + 32                                                    1:S
                   = 428º                                                          1:A
               400º ≠ 430 º                                                         1:R (10º)
               Nee, Gretchen het die oond op die verkeerde temperatuur
               ºC gestel.                                                    (4)

1.2            1 lb (pond) 2 oz (onse) Volstruisfilet
LU 3
AS
               1 lb = 0,45359 kg
11.3.2         1 oz = 0,0625 lb
                                                                                    1:C (lb na
               0,0625 lb x 0,45359 = 0,028349375 kg x 2                           kg)
                                     = 0,05669875 kg                                1: M (x2)
               Kilogram volstruisfilet = 1 lb + 2 oz
                                       = 0,45359 kg + 0,05669875 kg              1:M
                                       = 0,51028875 kg                           1:A
                                       = 0,5 kg                              (5) 1:R

1.3            Volume = r2h                                                         1:A
LU3
AS                    = 3,14 x 11 cm x 11 cm x 9 cm                               (radius)
11.3.1                = 3419,46 cm3                                                1:SF
                                                                                    1:A
               As 1 000 cm3 = 1l dan is
               3419,46
                       cm3/1 000 = 3,4 ℓ                                           1:C (cm3
               Ja, die kastrol is groot genoeg vir die gekookte dis.               na l)

                                                                              (5) 1:J

1.4
LU1
AS       1.4.1 500 g = ½ kg
11.1.1         ½ x R67 = R 33,50                                             (1) 1:A

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(NOVEMBER 2012)              WISKUNDIGE GELETTERDHEID V2                                3

 LU1
 AS       1.4.2 BTW bedrag = (R33,50 + R12,59)  x 0,14                         1:M
 11.1.2                    = R 46,09 x 0,14                                    (korrekte
                           = R 6,45                                            waardes)
                                                                                1:M
                                                                                (x 14%)
                                                                            (3) 1:A
 LU1
 AS       1.4.3 Alhoewel nartjies vrugte is, is dit in hierdie geval
 11.1.3         geprosesseer (geblik), terwyl die lemoene ŉ vars
                produk is. 
                                            OF
                Geen BTW is betaalbaar op vars produkte soos lemoene
                nie, maar wanneer dit geblik word, is belasbaar. 
                                (Enige ander relevante verduideliking.)     (2) 2:A
 LU1
 AS       1.4.4 Omdat 1 en 2 sent muntstukke nie meer in sirkulasie is
 11.1.3         nie, word die finale bedrag afgerond tot die naaste 5
                sent. 
                                 (Enige ander relevante verduideliking.)    (2) 2:A
 LU1
 AS       1.4.5 Geen kleingeld is aan Gretchen verskuldig nie,
 11.1.3         omdat sy slegs die verskuldigde bedrag betaal.            (2) 2:A

 LU1
 AS       1.4.6 Middag  16:42 
 11.1.1                                                                     (2) 2:A
                                                                           [31]

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4                             WISKUNDIGE GELETTERDHEID V2   (NOVEMBER 2012)

VRAAG 2

2.1
LU1
AS       2.1.1   Waarde van deposito = R250 000 x 0,16          1:M
11.1.1                               = R40 000              (2) 1:A
LU1
AS       2.1.2   P = R250 000 – R40 000                            1:A (P-
11.1.1              = R210 000                                    waarde)
                 n = 72 / 12
                   = 6 jare                                       1:A (n-
                 i = 9,5 / 100                                     waarde)
                   = 0,095

                   = 210 000 (1 + 6 x 0,095)                      1:SF
                   = 210 000 (1+ 0,57)
                   = 210 000 (1,57)                             1:S
                   = R329 700                               (5) 1:A
LU1
AS
         2.1.3   I=A–P                                             1:M
11.1.1            = R329 700 – R210 000                           1:CA
                  = R119 700                                (2)

2.2
LU2
AS       2.2.1                                                     1:SF
11.2.1             = 250 000 (1 – 0,2)2                           1:S
                   = 250 00 (0,8)2                                 1:A
                   = 250 000 (0,64) 
                   = R160 000 
                                            OF

                   = 200 000 (1 – 0,2)1 
                   = 200 000 (0,8)1
                   = R160 000                               (3)

LU1
AS       2.2.2
11.2.2
                                                                   1 punt
                                                                   vir elk
                                                                   (0,250
                                                                   000)
                                                                   (1,200
                                                                   000)
                                                                   (2,160
                                                                   000)
                                                                   (3,128
                                                                   000)
                                                                   (4,102
                                                                   400)

                                                             (5)

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(NOVEMBER 2012)              WISKUNDIGE GELETTERDHEID V2                          5

 LU1
 AS       2.2.3   Indirekte of Omgekeerde eweredigheid 
 11.2.3           Soos die jare toeneem, so neem die waardes van        1:A
                  die motor af.                                    (2) 1:R

 2.3              P (silwer) = 3/14  OF 0,214  OF 21,4% 
 LU4                                                                     1:A (teller)
 AS
 11.4.5                                                                  1:A
                                                                     (2) (noemer)
                                                                   [21]

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6                                 WISKUNDIGE GELETTERDHEID V2              (NOVEMBER 2012)

VRAAG 3

3.1
LU4
AS       3.1.1 5                                                          1:A
11.4.5         Spanne kan nie teen hulself speel nie.                 (2) 1:R
LU4
AS       3.1.2 10 
11.4.5                                                                 (2) 2:A
LU4
AS       3.1.3 4 
11.4.5                                                                 (2) 2:A
LU4
AS
         3.1.4 10 
11.4.5                                                                 (2) 2:A
LU4
AS       3.1.5 ¼           OF      0,25        OF      25%           1:A (teller)
11.4.5                                                                 (2) 1:A (noemer)
                 1
LU4
AS
         3.1.6   /16       OF     0,063         OF      6,3%         1:A (teller)
11.4.5                                                                 (2) 1:A (noemer)

3.2
LU2
AS
         3.2.1 (a)     s = 5t + 2c + 3p 
11.2.1                                                                 (3) 3:F

LU2
AS
                 (b)   s = 5t + 2c + 3p                                    1:SF
11.2.1                        = (5 x 6) + (2 x 5) + (3 x 3)               (korrekte
                              = 30 + 10 + 9                                waardes)
                              = 49                                    (2) 1:CA

LU2
AS
         3.2.2 Vir 1 strafskop 
11.2.1                                                                 (1) 1:A

3.3
LU1
AS
         3.3.1 1 ZAR (Suid-Afrikaanse Rand) = 0,15761 NZD
11.1.1         Kategorie B = 123 NZD                                      1:RT (123)

                 ZAR = 123 NZD/0,15761 NZD                                1:M
                     = 780,4073346
                     = 780,41                                         (3) 1:A

LU1
AS       3.3.2 1 NZD = R6,3450 ZAR
11.1.1         200 NZD
               ZAR = 200 x 6,3450                                          1:M
                   = R1 269                                            (2) 1A
                                                                      [23]

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(NOVEMBER 2012)                  WISKUNDIGE GELETTERDHEID V2                                          7

 VRAAG 4

 4.1
 LU2
 AS       4.1.1 Kosprys vir 1 CD = (80 – 30)/10 OF Kosprys vir 1 CD = (130 – 30)/20 
 11.2.3                          = 50/10                             = 100/20
                                 = R5                              = R5 
                                       (180 – 30)
                  Kosprys vir 1 CD =       /30 OF Kosprys vir 1 CD = (230 – 30)/10 
                                  = 150/30                         = 200/40
                                  = R5                            = R5 
                                       (280 – 30)
                  Kosprys vir 1 CD =     /50OF Kosprys vir 1 CD = (330 – 30)/60 
                                       250
                                  = /50                          = 300/60
                                  = R5                          = R5 
                                       (380 – 30)
                  Kosprys vir 1 CD =      /70OF Kosprys vir 1 CD = (430 – 30)/80 
                                       350
                                   = /70                          = 400/80
                                   = R5                          = R5 

                  Kosprys vir 1CD = (480 – 30)/90 
                                   = 450/90                                                       1:M
                                   =R5                                                     (2)   1:A
 LU2
 AS       4.1.2 Verkoopprys van 1 CD = 60/10 OF Verkoopprys van = 120/20 
 11.2.3                              = R6                       = R6 
                                              180
                  Verkoopprys van 1 CD =            /30 OF Verkoopprys van 1 CD = 240/40
                  
                                             = R6                               = R6 
                                              300
                  Verkoopprys van 1 CD =      /50  OF Verkoopprys van 1 CD = 360/60 
                                         = R6                             = R6 
                                              420
                                       /70  OF Verkoopprys van 1CD = 480/80 
                  Verkoopprys van 1 CD =
                                   =R6                             =R6
                                               OF
                  Verkoopprys van 1CD = 540/90                                                 1:M
                                      = R6                                                 (2) 1:A

 LU2
 AS       4.1.3 % Wins = (Inkomste – Uitgawes) x 100
 11.2.3                           Uitgawes
                       = 6 – 5 x 100
                             5
                       = 1/5 x 100                                                             1:M
                       = 20%                                                               (2) 1:A
 LU2
 AS       4.1.4 30  ; 180                                                                     1:A
 11.2.1                                                                                         (30)
                                                                                                1:A
                                                                                            (2) (180)

### Page 8

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8                             WISKUNDIGE GELETTERDHEID V2                   (NOVEMBER 2012)

LU2
AS       4.1.5 Gelykbreekpunt 
11.2.1         Vir 30 CD’s is die inkomste en uitgawes presies dieselfde                 1:A
               (R180).                                                       (2)        1:R
LU2
AS       4.1.6 Voor die gelykbreekpunt is die inkomste minder as die
11.2.3         uitgawes. 
                                            OF
               Voor die gelykbreekpunt is die uitgawes meer as die
               inkomste.                                                    (2)        2:A
LU2
AS       4.1.7 Daar is ŉ aanvangskoste van R30 (vervoerkoste). 
11.2.3                                                                        (2)        2:A

4.2
LU4
AS       4.2.1 25% van die verkope was 15 en minder CD’s verkoop vir die
11.4.3         maand.                                                       (2)        2:A
LU4
AS       4.2.2 75% van die verkope was 37 en meer CD’s verkoop vir die
11.4.3         maand.                                                       (2)        2:A
LU4
AS       4.2.3 Ja 
11.4.3         Meeste van die CD’s wat hy verkoop het, is meer as 15              1:A
               (75%).                                                        (2) 1:R

4.3      Deursnit van buitesirkel = 118 mm = 11,8 cm 
LU3
AS       Radius van buitesirkel = 5,9 cm 
11.3.1
11.3.2
         Radius van binnesirkel = 0,75 cm
                                                                                     1:C
         Opp. van CD = Opp. van buitesirkel – Opp. van binnesirkel                   (mm
                     = r2 – r2                                                       na cm)
                     = 3,14 x 5,92 – 3,14 x 0,752                                   1:A
                     = 109,30 cm2 – 1,77 cm2                                        (vind r)
                     = 107,53 cm2 
                                        OF
         Opp van CD = Opp. van buitesirkel – Opp. van binnesirkel
                    = r2 – r2
                    = 3,14 x 5,9 cm x 5,9 cm – 3,14 x 0,75 cm x 0,75 cm             1:SF
                    = 109,3034 cm2 – 1,76625 cm2                                    1:S
                    = 107,53715 cm2                                                  1:CA
                    = 107,54 cm2                                              (5)
                                                                             [25]

                                                                 TOTAAL: 100

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