# Mathematical Literacy Grade 12 Paper 2 NSC June 2023 Memo

> Grade 12 Mathematical Literacy Paper 2 memorandum from the NSC June Exam 2023, 17 pages. Read online or download the free PDF.

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- Updated: 2026-10-29
- Subject: Mathematical Literacy
- Grade: Grade 12
- Document type: Memorandum
- Year: 2023
- Exam period: NSC June Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 17

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Mathematical Literacy · Grade 12 · NSC June Exam · 2023. Memorandum. Read online or download the PDF.

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### Page 1

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             SENIOR CERTIFICATE EXAMINATIONS/
         NATIONAL SENIOR CERTIFICATE EXAMINATIONS
                SENIORSERTIFIKAAT-EKSAMEN
           NASIONALE SENIORSERTIFIKAAT-EKSAMEN

 MATHEMATICAL LITERACY P2/WISKUNDIGE GELETTERDHEID V2

                                                      2023

                       MARKING GUIDELINES/NASIENRIGLYNE

                                                                                        MARKS/PUNTE: 150

       Symbol/Kode     Explanation/Verduideliking
           M           Method/Metode
          MA           Method with accuracy/Metode met akkuraatheid
          CA           Consistent accuracy/Volgehoue akkuraatheid
           A           Accuracy/Akkuraatheid
           C           Conversion/Herleiding
            S          Simplification/Vereenvoudiging
          RT           Reading from a table/a graph/document/diagram/Lees vanaf tabel/grafiek/diagram
           SF          Correct substitution in a formula/Korrekte vervanging in formule
           O           Opinion/Explanation/Reasoning /Opinie/Verduideliking/redenasie
            P          Penalty, e.g. for no units, incorrect rounding off, etc./Penalisasie, bv. vir geen
                       eenhede/verkeerde afronding, ens.
            R          Rounding off/Afronding
           NPR         No penalty for correct rounding/Geen penalisasie vir korrekte afronding nie
           AO          Answer only/Slegs antwoord
           MCA         Method with constant accuracy/Metode met volgehoue akkuraatheid
           RCA         Rounding consistent with accuracy/Afronding met volgehoue akkuraatheid

                            These marking guidelines consist of 17 pages.
                             Hierdie nasienriglyne bestaan uit 17 bladsye.

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   2                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

NOTE:
•  If a candidate answers a question TWICE, only mark the FIRST attempt.
•  If a candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution,
   mark the crossed out (cancelled) version.
•  Consistent accuracy (CA) applies in ALL aspects of the marking guidelines; however, it stops at the
   second calculation error.
•  NOTE: consistent accuracy (CA) does not apply in cases of a breakdown.
•  If the candidate presents any extra solution when reading from a graph, table, layout plan and map,
   then penalise for every extra item presented.
•  As a general marking principle, if a candidate has incurred one mistake and there is evidence of sound
   mathematics thereafter, then that candidate should lose one mark only.
•  Rounding is an independent mark.
•  In order to award the verification / conclusion mark the candidate must have scored at least one mark in
   the calculations preceding the final conclusion.
LET WEL:
•  As 'n kandidaat 'n vraag TWEE KEER beantwoord, sien slegs die EERSTE poging na.
•  As 'n kandidaat 'n antwoord van 'n vraag doodtrek (kanselleer) en nie oordoen nie, sien die
   doodgetrekte (gekanselleerde) poging na.
•  Volgehoue akkuraatheid (CA) word in ALLE aspekte van die nasienriglyne toegepas, dit hou op by die
   tweede berekeningsfout.
•  Let wel: volgehoue akkuraatheid (CA) geld nie in die geval van 'n afbreuk nie.
•  Wanneer 'n kandidaat aflesings vanaf 'n grafiek, tabel, uitlegplan en kaart geneem en ekstra antwoorde
   gee, penaliseer vir elke ekstra item.
•  'n Algemene nasienbeginsel is dat indien 'n kandidaat een fout maak en daarna voortgaan met korrekte
   wiskunde, dat die kandidaat slegs een punt verloor.
•  Afronding tel as 'n afsonderlike punt.
•  Ten einde die verifikasie/ gevolgtrekking punt toe te ken moes die kandidaat ten minste een punt gekry
   het in die berekeninge wat lei tot die finale gevolgtrekking.

Note: Questions marked with * refers to the notes.
      Questions where the numbers are encircled are the ones where we have a tolerance range.

QUESTION/VRAAG 1 [28 MARKS/PUNTE] Answer Only AO - full marks
Q/V  Solution/Oplossing                    Explanation/Verduideliking                                            T/L

                                                                                                                 M
*1.1.1 E A                                                     2A correct option                               L1
                                                                                                       (2)       E
                                                                                                                 M
*1.1.2 C      A                                                2A correct option                               L1
                                                                                                       (2)       E
                                                                                                                 MP
*1.1.3 I      A                                                2A correct option                               L1
                                                                                                       (2)       E
                                                                                                                 MP
*1.1.4 B     A                                                 2A correct option                               L1
                                                                                                       (2)       E
                                                                                                                 P
*1.1.5 G      A                                                2A correct option                               L1
                                                                                                       (2)       E

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   3                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                      Explanation/Verduideliking                T/L
              RT           RT         RT                                                                MP
1.2.1    Potatoes, Onions and Cucumber                           3RT correct partner                       L1
         Aartappels, Uie en Komkommer                                                                  (3) E
                                                                                                           MP
1.2.2    Six /Ses (6)  RT                                      2RT correct number                        L1
                                                                                                       (2) M
                                                                                                           MP
1.2.3    Beans /Bone  RT                                       2RT correct partner                       L1
                                                                                                           M
                                                                                                       (2)
                                                                                                           MP
*1.2.4 South East OR SE           RT                           2RT correct direction                     L1
       Suidoos OF SO                                                                                       M
                                                                                                       (2)
          RT  RT                                                                                        MP
*1.2.5    3 and 7                                                2RT 1st correct number label              L1
                                                                 1RT 2nd correct number label              E
                                                                                                       (3)
                                                                                                           M
         C OR/OF π × r2 × h              RT
1.3.1                                                            2A correct option                         L1
                                                                                                       (2) E
                                                                                                           M
1.3.2    mm3     A                                             2A correct unit                           L1
                                                                                                       (2) E

                                                                                                     M
                                    C
1.3.3    mm to metre = 124 ÷ 1 000                               1C correct conversion/dividing by   L1
         mm tot meter                                              1 000                             E
                    = 0,124 m      A                            1A answer in metres
                                                                                                 (2)
                                                                                                [28]

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   4                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 2 [24 MARKS/PUNTE]
Q/V  Solution/Oplossing                                                Explanation/Verduideliking T/L
                                                                                                   MP
2.1.1    5  A                                                        2A correct number           L1
                                                                                               (2) E
                                                                                                   MP
2.1.2    Tripod/Driepoot  A                                          2A correct item             L1
                                                                                               (2) E
                                                                                                   MP
2.1.3    Clockwise/Kloksgewys  A                                     2A correct direction        L1
                                                                                               (2) E
                                                                                                   MP
2.1.4    H  A                                                        2 A correct choice          L2
(a)                                                                                            (2) M
                                                                                                   MP
2.1.4    G                                                             2 A correct choice          L2
(b)           A                                                                              (2) M
                                                                                                   MP
2.2.1    65 km × 100 000                                                                           L2
                                                                       1C conversion               D
         = 6 500 000 cm        C

         Distance on the map /Afstand op kaart
           6 500 000                                                   1MA division by 250 000
         =                MA
            250 000
         = 26 cm       CA                                             1CA simplification

                                   OR/OF                                           OR/OF
         65 km × 1 000 000

         = 65 000 000 mm       C                                      1C conversion

         Distance on the map /Afstand op kaart
           65 000 000                                                  1MA division by 250 000
         =                MA
             250 000
                                                                       1CA simplification
         = 260 mm      CA

                                   OR/OF                                           OR/OF
         Map: Reality
         Kaart : Werklikheid
         1: 250 000
         Map Dist/Kaart afstand : 65 km
                                                                       1MA division by 250 000
         Map distance =
         Kaart afstand                                                 1C conversion
                      = 0,00026 km            C
                      = (0,00026 × 100 000) cm                         1CA simplification
                      = 26 cm CA

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   5                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                            Explanation/Verduideliking T/L
                                   OR/OF
         1 cm: 250 000 cm
                                 C                                    1C conversion

          Map Dist/Kaart afstand : 65 km

         Map distance /Kaart afstand

         =             MA                                             1MA division by 2,50
         = 26 cm      CA
                                                                       1CA simplification
                                                                                                      (3)
                                                                                                          MP
2.2.2    Bar scale or line scale or Graphic Scale   A                2A correct scale                   L1
         Staafskaal/ Balkskaal of lynskaal of Grafiese skaal                                          (2) E

                                                                                                               MP
*2.3.1 Number of reams lengthwise/ Getal rieme in die lengte           1MA dividing lengths                    L3
           MA                                                         1A simplification                       M
          102 cm    A
       =          = 3,65 ≈ 3  R                                       1R rounding down
         27,94 cm

         Number of reams widthwise /Getal rieme in die
         breedte
             44 cm                                                     1MC A reams widthwise
         =           = 2,04 ≈ 2  MCA
           21,59 cm

         Number of reams heightwise/Getal rieme in die hoogte

              39 cm
         =           = 6,14 ≈ 6  A                                    1A reams heightwise
             6,35 cm

         Total number of reams/Totale getal rieme

          = 3 × 2× 6  MCA                                             1MCA multiplying the
          = 36  CA                                                    values
                                                                       1CA total number of reams
                                                                                               (7)

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   6                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                            Explanation/Verduideliking T/L
                      O                                                                         MP
2.3.2    To keep them dust free/Om stof af te keer                                                L4
         To keep the reams dry/ moisture free                                                     E
         Om die rieme droog te hou

         OR/OF
         To keep them safe for later use.
         Om hulle veilig te bêre vir latere gebruik

         OR/OF
         Glass door - For learners to see that the teacher is using
         their reams of paper
         – Easy to see how many reams are left (record
         keeping).
         Glasdeure - Sodat leerders kan sien hul onderwyser
         gebruik hulle rieme papier
         --maklik om te sien hoeveel rieme is oor (hou rekord)

         OR/OF                                                2O reason
         Convenient
         –Paper is in the class for later usage.
         –Keeps the teacher’s table clear/more space on
         teacher’s table
         –Easily accessible when needed.
         –Effective use of space
         Gerieflik:
         – die papier is in die klas gereed vir later gebruik
         – Hou die onderwyser se tafel skoon /meer spasie op
           die onderwyser se tafel
         – Maklike toegang te hê
         – Effektiewe gebruik van spasie

         OR/OF
         Keeps the classroom neat and in order.
         Hou die klaskamer netjies en skep orde.
                                                                                                      (2)
                                                                                                    [24]

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   7                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 3 [31 MARKS/PUNTE]
Q/V  Solution/Oplossing                                           Explanation/Verduideliking               T/L
                                                                                                           M
3.1.1    Surface area wall 1 = length × width                                                              L2
         Oppervlakte muur 1 = lengte × breedte                                                             M

          = 4,8 m × 2,75 m       SF                              1SF substitution

          = 13,2 m2      CA                                      1CA simplification
         Surface area wall 2 = length × width
         Oppervlakte muur 2 = lengte × breedte

         = 3,50 m × 2,75 m

         = 9,6250 m2     A                                       1A simplification

         Total surface area / Totale oppervlakte

         = (13,2 + 9, 625) m2

          = 22,8250 m2      CA                                   1CA simplification

                                                                  OR/OF
                                 OR/OF
                          SF                                     1SF substitution
         T SA/ TO = (4,8 m × 2,75 m) + (3,5 m × 2,75 m)           1CA simplification
                        CA                                       1A simplification
                  = 13,2 m2 + 9,6250 m2 A
                     = 22,8250 m2 CA                             1CA simplification

                              OR/OF                               OR/OF
                               A
         Surface Area = (3,5 m + 4,8 m)        2,75 m SF         1A adding both wall dimensions
                                                                  1SF substitution
                        = 8,3    2,75     CA                     1CA simplification

                       = 22,825 m2       CA                      1CA simplification
                                                                  NPR
                                                                                                     (4)
                                                                  CA from 3.1.1                            M
*3.1.2   Volume = Area of wall × thickness of plaster                                                      L3
         Volume = Opp van muur × dikte van pleister                                                        D
                                C           C                   2C conversion
                                          12
                  = ( 22,8250 ×10 000 ) ×       SF               1SF substitution
                                          10
                         CA                                      1CA simplification
                  = 228 250 cm2 × 1,2 cm

                  = 273 900 cm3         CA                       1CA simplification

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   8                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V     Solution/Oplossing                                        Explanation/Verduideliking               T/L
                                OR/OF

        12 mm = 1,2 cm C                                         1C conversion mm to cm

        22,825m2 = (22,825 × 100 × 100) cm2 C                    1C conversion m2 to cm2
                 = 228 250 cm2 CA                                1CA simplification

        Volume = Area of wall × thickness of plaster
        Volume = Opp van muur × dikte van pleister
               = 228 250 cm2 × 1,2 cm SF                         1SF substitution
               = 273 900 cm3 CA                                  1CA simplification

                                OR/OF                                            OR/OF

        12 mm = (12 ÷ 1 000)                                      1C conversion m
              = 0,012 m      C

        Volume = 22,825 × 0,012 SF                               1SF substitution
              = 0,2739 m3 CA                                     1CA simplification
              = (0,2739 × 100 × 100 × 100) C                     1C conversion m3 to cm3
              = 273 900 cm3 CA                                   1CA simplification

                                OR/OF                                            OR/OF

                       C                                         1C conversion mm2
        Volume = 22 825 000 mm2           12 mm SF               1SF substitution
                 = 273 900 000 mm3            CA                 1CA simplification
                          C
                 = 273 900 cm3          CA                       1C conversion cm3
                                                                  1CA simplification
                                                                                                     (5)
                                                                  CA from 3.1.2                            M
3.1.3   Number of bags/ Getal sakke                                                                        L2
          273 900 cm 3  MCA                                      1MCA dividing                            M
        =
           15 000 cm 3
        = 18,26  CA                                              1CA simplification

        ≈ 19  R                                                  1R rounding up
                                                                                                     (3)
                                                                                                           M
3.1.4   Perimeter / Omtrek                                                                                 L2
                   RT                                            1SF substitution                         E
        = 2 × (4,8 + 3,5) m      SF                              1RT correct values

         = 16,6 m      CA                                        1CA simplification
                                OR/OF                                            OR/OF

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   9                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                            Explanation/Verduideliking T/L
         Perimeter/ Omtrek
                                                                    1MA adding all 4 sides
         = 4,8 m + 3,5 m + 4,8 m + 3,5 m MA RT
                                                                    1RT correct values
         = 16,6 m CA                                               1CA simplification
                                  OR/OF                                        OR/OF

          Perimeter/Omtrek       MA
                     = 2(3,5 m) + 2(4,8 m)        RT               1MA adding all 4 sides
                                                                    1RT correct values
                       = 16,6 m CA                                 1CA simplification
                                                                    AO
                                                                                                     (3)
                                                                                                           P
         P = A or/of 0,2 or/of 20%
3.2.1       1                                                       1A numerator                           L2
            5 A                                                    1A denominator                         E
                                                                    AO
                                                                                                     (2)
                                                                                                           P
*3.2.2   P(not appear/ nie verskyn) = 1 – 0,75      MA     1MA subtracting from 1                         L2
                                       A                                                                  M
                                 = 0,25       or/of ¼ or/of 1A simplification
         25%                                                AO
                                                                                                     (2)
                                                                    CA from Q3.2.2                       P
3.2.3    Less likely /kleiner kans      A                         2A correct likelihood                L2
                                                                                                     (2) E
                                                                                                         M
*3.3.1   Starting time /Begin tyd                                                                        L2
                                MA              A                 1MA subtract minutes                 M
         = 08:05 – 2 min – 3 min – 4 min                            1A all the minutes
         = 07:56 CA                                                1CA simplification
                                  OR/OF                                          OR/OF
         Total time to prepare:
         = 4 min + 3 min + 2 min
         = 9 min      A                                            1A all the minutes
         Starting time /Begin tyd
         = 08:05 – 9 min MA
                                                                    1MA subtract minutes
                   CA
         = 07:56 or 4 minutes to eight in the morning               1CA simplification
                                                                    AO
                                                                                                     (3)

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   10                                          DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V     Solution/Oplossing                                          Explanation/Verduideliking             T/L
                                                                                                           M
3.3.2   Total volume of water /totale volume water                                                         L2
                MA                                                 1MA multiplying with 5                 M
        = 7 ℓ × 5 = 35 ℓ
        1 gallon/gelling = 3,78541 ℓ
        Number of gallons /Getal gellings
                  35                                                1C converting
        =                   C
              3, 78541

        = 9,24602619 ≈ 9,25        R                               1R rounded answer

                                 OR/OF                                           OR/OF

        1 gallon/gelling = 3,78541 ℓ
                 n       =7ℓ
        Number of gallons /Getal gellings
                  7                                                 1C converting
        =                  C
              3, 78541

        = 1,849205… ≈ 1,85
        For 5 bags/Vir 5 sakke
                MA R                                              1MA multiplying with 5
        = 1,85 × 5 = 9,25 gallon / gelling                          1R rounded answer
                                                                                                     (3)
                                                                                                           M
3.3.3   °F – 32° = (1,8 × °C)                                                                              L2
          SF                                                                                              M
        73,4 – 32° = (1,8 × °C)                                     1SF correct substitution
           S                                                       1S simplification
        41,4° = 1,8 × °C
                                  MCA                              1MCA dividing by 1,8
               °C = 41,4° ÷ 1,8
                                                                    1CA simplification
                   = 23 °C     CA                                                                   (4)
                                                                                                    [31]

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   11                                          DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 4 [30 MARKS/PUNTE]
Q/V  Solution/Oplossing                                                  Explanation/Verduideliking T/L
                                                                                                     MP
4.1.1    12     RT                                                     2RT number of houses        L2
                                                                                                 (2) E

4.1.2      RT               RT                                        2RT 1st house label or                MP
         1 , 2 or/of 12                                                  number                                L2
                                                                         1RT second                            M
         Any two /Enige twee                                                                            (3)
                                                                                                               M
*4.2.1   The depth 1m or it is shallow/ not too deep.  O               2O explanation                        L4
         Die diepte is 1m of dit is vlak/ nie te diep nie.                                                     M
                                                                                                        (2)
                                          A                                                                  M
4.2.2    Capacity: the maximum amount of water the pool can                                                    L1
         hold/contain.                                                                                         M
         Kapasiteit is die maksimum hoeveelheid water wat die
         swembad kan hou.                                                2A concept
                                  OR/OF
         Capacity: a measure of space covered by pool structure
         with water.
         Kapasiteit is die mate van spasie wat die swembad met
         water vul.
                                                                                                        (2)
                                      A                                 1A radius                             M
*4.2.3                                          SF                      1SF correct substitutions             L3
         Volume(cylinder) = 3,142 × (  )2 × 1m
                                                                                                               M
                           = 3,142 × (3,5m)2 × 1m

                           = 38,4895 m3       CA                        1CA simplification

         Volume (rectangular) = 6,2 m × 3,25 m × 1,65 m       SF        1SF correct values

                            = 33,2475 m3 CA                             1CA rectangular volume

         Difference / Verskil = 38,4895 m3 – 33,2475 m3 MCA             1MCA subtracting

                               = 5, 242 m3        CA                    1CA difference

                               = 5 242 ℓ     C                          1C conversion

                                    OR/OF                                            OR/OF

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 Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   12                                          DBE/2023
                               SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                              Explanation/Verduideliking             T/L
                                      A 2      SF       C             1A radius
         Volume(cylinder) = 3,142 × (3,5m) × 1m × 1 000 ℓ/ m3            1SF correct substitutions
                                                                         1C conversion
                          = 38 489,5 ℓ       CA                         1CA simplification
                                                  SF
         Volume (rectangular) = 6,2 m × 3,25 m × 1,65 m × 1 000ℓ/m3      1SF correct values
                             = 33 247,5 ℓ     CA                        1CA rectangular volume

         Difference / Verskil = 38 489,5 ℓ – 33 247,5 ℓ MCA             1MCA subtracting

                                = 5 242 ℓ          CA                   1CA difference
                                                                         NPR
                                                                                                        (8)
                                                      O                                                       M
4.2.4    To accommodate cutting the tiles or breakages or                                                       L4
 (a)     curved surfaces or keep spares for later usage.                 2O reason                              E
         Om voorsiening the maak die sny van teëls of
         breekskade of die gekurfde oppervlaktes of om oor te
         hou vir latere gebruik.                                                                        (2)
                                                                         CA radius form 4.2.3                   M
*4.2.4   SA(open cylinder)/BO = 3,142 × radius × (radius + 2 × height)                                          L4
 (b)              = 3,142 × 3,5 m × (3,5 m + 2 × 1 m)  SF               1SF substitution                       D
                   = 3,142 × 3,5 m × 5,5 m = 60,4835 m2.  CA            1CA area of pool
         Area of one tile/ Opp van 1 teël
         = m×               C                                           1C conversion
         = 0,2 × 0,2 m2 = 0,04 m2.           CA                         1CA area of a tile
         Number of tiles needed /Getal teëls nodig
             Area to be tiled
         =
           Area of single tile
            60,4835       MCA                                           1MCA finding number of
         =                                                               tiles
              0,04  CA
                                                                         1CA simplification
         = 1 512,0875       OR/OF ≈ 1 513
                                                    Or rounded up:
         Plus 10%
            10             MCA
         =     × 1 512,0875 + 1 512,0875            1 513 × 110%         1MCA calc. 10% and adding
           100                                                           it or multiply with 1,10
                                                    = 1 664,3
         = 1 663,29625 tiles /teëls                 ≈ 1665
         ≈ 1 664 tiles /teëls      CA                                   1CA number of tiles
         Number of boxes /Getal bokse               Boxes
         = 1 664 ÷ 16 MCA                          = 1 665 ÷ 16
                                                                         1MCA dividing
                                                    = 104,06
         = 104      CA                             ≈ 105                1CA number of boxes
         VALID/GELDIG O                                                 1O conclusion

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   13                                          DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V                         Solution/Oplossing                           Explanation/Verduideliking T/L
                                  OR/OF

        SA(open cylinder)/BO = 3,142 × radius × (radius + 2 × height)
                                                                        1SF substitution
                 = 3,142 × 3,5 m × (3,5 m + 2 × 1 m)  SF
                                                                        1CA SA of pool
                  = 3,142 × 3,5 m × 5,5 m = 60,4835 m .  CA2

        Area of one tile/ Opp van 1 teël
                                                                        1C conversion
        = m×               C
                                                                        1CA area of a tile
                       2
        = 0,2 × 0,2 m = 0,04 m .   2      CA

        Number of tiles needed /Getal teëls nodig
            Area to be tiled
        =                                                               1MCA finding number of
          Area of single tile
                                                                        tiles
           60,4835       MCA
        =
             0,04  CA                                                  1CA simplification
        = 1 512,0875       OR/OF ≈ 1 513

        Number of boxes/Getal bokse
        = 1 512,0875 ÷ 16     MCA                                      1MCA dividing

        = 94,505…           CA                                         1CA number of boxes

        Increased number/ Verhoogde getal
        = 94,505… × 110%         MCA                                   1MCA calc. 10% and adding
        = 103,95…                                                       it or multiply with 1,10
        ≈ 104          CA                                              1CA number of boxes
        VALID/GELDIG        O                                          1O conclusion

                                   OR/OF                                            OR/OF

        SA(open cylinder)/BO = 3,142 × radius × (radius + 2 × height)
                  = 3,142 × 3,5 m × (3,5 m + 2 × 1 m)  SF              1SF substitution
                                                                        1CA area of pool
                  = 3,142 × 3,5 m × 5,5 m = 60,4835 m2.  CA

        Area of one tile/ Opp van 1 teël
        = m×               C                                           1C conversion

                                          CA                           1CA area of a tile
        = 0,2 × 0,2 m2 = 0,04 m2.

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   14                                          DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V     Solution/Oplossing                                               Explanation/Verduideliking T/L
        Continue
        Area covered by one box/Opp wat een boks bedek                  1MCA finding area of box of
        = 0,04 m2 × 16     MCA                                         tiles
        = 0,64 m2         CA                                           1CA simplification

        Number of boxes/Getal bokse
          60,4835                                                       1MCA dividing
        =              MCA                                             1CA number of boxes
            0, 64
        =94,505…  CA
                                                                        1MCA calc. 10% and adding
        Increased number/ Verhoogde getal
                                                                        it or multiply with 1,10
        = 94,505… × 110%  MCA
        = 103,95…
        ≈ 104         CA                                               1CA number of boxes
                               O                                       1O conclusion
        VALID/GELDIG
                                                                                    OR/OF
                                   OR/OF

        SA(open cylinder)/BO = 3,142 × radius × (radius + 2 × height)

                 = 3,142 × 3,5 m × (3,5 m + 2 × 1 m)  SF               1SF substitution

                  = 3,142 × 3,5 m × 5,5 m = 60,4835 m2.  CA            1CA area of pool

        Increased area/Vergrote opp                                     1MCA calc. 10% and adding
        = 60,4835 × 1,1                                                 it or multiply with 1,10
                              MCA                                      1CA simplification
        = 66,53185  CA

        Area of one tile/ Opp van 1 teël
                                                                        1C conversion
        = m×               C
                                                                        1CA area of a tile
        = 0,2 × 0,2 m2 = 0,04 m2.         CA

        Area covered by one box/Opp wat een boks bedek
                                                                        1MCA finding area of box of
        = 0,04 m2 × 16  MCA
                                                                        tiles
        = 0,64 m2
                     CA                                                1CA simplification
        Number of boxes/Getal bokse
          66,53185                                                      1MCA dividing
        =             MCA
             0, 64
        = 103,956…                                                      1CA number of boxes
        ≈ 104          CA
        VALID/GELDIG  O                                                1O conclusion
                                                                                                      (11)
                                                                                                      [30]

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   15                                          DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

QUESTION/VRAAG 5 [37 MARKS/PUNTE]
Q/V Solution/Oplossing                                              Explanation/Verduideliking       T/L
                                                                                                     MP
5.1.1   R617       RT                                             2RT correct road                 L1
                                                                                                 (2) E
                                                                                                     MP
5.1.2   6 km      RT                                              2RT correct distance             L1
                                                                                                 (2) E
                                                                                                     MP
5.1.3   Left /Links A                                             2A correct direction             L1
                                                                                                 (2) E
                                                                                                     M
5.1.4   Dist. = 16km – dist. Hotel to Mkomazana – dist.                                              L2
        Himeville to turn              RT                          1RT 2 km                         M
        Afstand = 16 km – 4,4 km – 2 km M                          1M subtracting of at least one
                                                                    correct value
                 = 9,6 km      CA                                  1CA simplification
                                                                                                 (3)
                                                                                                     MP
5.2.1   The owners need to clean, put fresh linen on the                                             L4
        beds and get the cottage ready early for the next                                            M
        booking.        O
        Die eienaars moet die plek skoon maak, skoon
        beddegoed opsit en die kothuis vroeg gereed kry vir
        die volgende bespreking.
                                OR/OF
        To encourage spending more days at the venue.               2O reason
        Om kliënte aan te moedig om meer dae oor te bly.
                                OR/OF
        Breaking a long stay.
        To justify renting out the cottage for one night while
        someone else might have stayed longer.
         Dit onderbreek ‘n lang oorbly.
        Om dit te regverdig om die kothuis uit te verhuur vir
        een nag terwyl iemand anders langer kon oorbly.                                              (2)
                                                                                                           MP
                  A
5.2.2   Valley Cottage OR Coot Cottage                              1A one correct cottage                 L4
        Vallei kothuis OF Bleshoender kothuis                                                              E
                                O
        These cottages sleeps 6 persons OR can
        accommodate 5 to six OR they are 5 OR Cheaper
        option / Price of 6 sleeper accommodation is more           2O reason
        reasonable (R2 640 ÷ 6 = R440 pp) compared to the
        2 sleeper (R1 150 ÷ 2 = R575 pp) /
        Hierdie kothuise is vir 6 persone OF hulle kan 5 tot
        6 persone huisves OF die groep is 5 OF Dit is die
        goedkoper opsie / Koste per persoon vir die 6-
        persoon is goedkoper (R2 640 ÷ 6 = R440 pp)
        vergeleke met 2-persoon (R1 150 ÷ 2 = R575 pp)
        .                                                                                            (3)
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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   16                                           DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                         Explanation/Verduideliking             T/L
                                                                    CA from 5.2.2                          M/F
*5.2.3   6 sleeper / slaper:                                                                               L4
         Total cost / totale koste RT      RT                     1RT correct rate, Thursday             M
                               = R2 640 + R2 730 × 2 MA            1RT correct rate, weekend
                                                                    1MA multiplying with 2
                                = R8 100 CA                        1CA simplification
         VALID/ GELDIG O                                           1O conclusion
                                                                                                     (5)
                                                                                                           MP
           A
5.3.1    False, the map shows other roads also have toll            1A correct option                      L4
(a)      gates.     O                                              1O reason                              E
         Onwaar, die kaart toon ook ander tolhekke
                                                                                                     (2)
                                                                                                         MP
5.3.1    True/ Waar       A                                       2A correct option                    L4
(b)                                                                                                  (2) E
                                                 O                                                     MP
5.3.2    Top view or aerial view or bird's eye view or              2O correct view                      L1
         satellite view                                                                                  E
         Bo-aansig of vanuit die lug aansig of voël-aansig                                           (2)
         of satelliet aansig.
                                                                                                           M
5.3.3    Distance/Afstand = speed/spoed × time/tyd                  1SF substitution                       L2
          588 km = speed/spoed × 7 h       SF                                                             M

         Speed/spoed =
                          588 km        A                          1A change subject of formula
                            7h

                       = 84 km/hCA                                 1CA simplification
                                                                                                     (3)
                                                                    CA from 5.2.3                          M/F
*5.3.4   Expense for tolls / Tol-fooie:  RT                        1 RT correct 4 tolls                   L3
         = R56,00 + R77,00 + R82,00 + R58,00                                                               D
         = R273    CA                                              1CA simplification
         Fuel used/Brandstof verbruik
         = 588 km ÷ 100 km × 6,42 ℓ MA                             1MA fuel consumption rate
         = 37,7496 ℓ A                                             1A simplification

         Fuel cost / Brandstofkoste = 37,7497 × R21,40
                                     = R807,84 CA                  1CA fuel cost
         Total cost / Totale koste
         = R8 100 + R807,84 × 2 + R273,00 × 2 MCA                  1MCA return trip
         = R10 261,68 CA                                           1CA total cost for 3 items
         Cost per person / Koste per person
         = R10 261,68 ÷ 5 MCA                                      1MCA dividing by 5
         = R2 052,34 CA                                            1CA simplification

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Mathematical Literacy/P2/Wiskundige Geletterdheid/V2   17                                        DBE/2023
                              SC/NSC/SS/NSS – Marking Guidelines/Nasienriglyne

Q/V      Solution/Oplossing                                            Explanation/Verduideliking T/L
                               OR/OF
         Round trip/ Heer en terug 588 km × 2 = 1176 km
         Fuel used/Brandstof verbruik                               1MA fuel consumption rate
         = 1 176 km ÷ 100 km × 6,42 ℓ       MA                     1A simplification
         = 75,4992 ℓ      A

         Fuel cost / Brandstofkoste = 75,4992 × R21,40
                                     = R1 615,68 CA                1CA fuel cost
         Cost per person/Koste per persoon
         = R1 615,68 ÷ 5      MA                                   1MA dividing by 5
         = R323,14
         Toll fees / Tol-fooie:
         = R56,00 + R77,00 + R82,00 + R58,00     RT                1 RT correct 4 tolls
         = R273        CA                                          1CA simplification
         Round trip/ Heen en weer
         = R273 × 2       MCA                                      1MCA return trip
         = R546
         Cost per person/Koste per persoon
         = R546 ÷ 5
         =R109,20
         Accomodation per person/Verblyf per persoon
         =R8100 ÷ 5
         =R1 620

         Total per person/ Totaal per persoon
         = R323,14 + R109,20 + R1 620 MCA                          1MCA adding all the values
         = R2 052,34 CA                                            1CA total cost

                               OR/OF                                             OR/OF
         Toll Expenses / Tol-fooie:
            MCA                     RT                            1MCA return trip
         = 2(R56,00 + R77,00 + R82,00 + R58,00)
                                                                    1 RT correct 4 tolls
         = R546,00 CA                                              1CA simplification
         Fuel Cost /Brandstof koste
         Total Distance/Afstand = 588 km × 2 = 1176 km
                                        MA         A              1MA fuel consumption rate
                              1176
         Fuel used/Brandstof:       6,42 = 75,4992 ℓ               1A simplification
                               100
         Cost/Koste: 75,4992 × R21,40 = R1 615,68 CA               1CA fuel cost

         Total Cost/Totale koste:
                                                   CA              1CA total cost for 3 items
         R8 100 + R546,00 + R1 615,68 = R10 261,68
                                       MCA         CA             1MCA dividing by 5
         Cost PP/ Koste PP: R10 261,68 ÷ 5 = R2 052,34              1CA simplification
                                                                                                  (9)
                                                                                                 [37]

                                                                            TOTAL/TOTAAL: 150

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