# Mathematical Literacy Grade 12 P2 Gauteng Mock 2022 QP (Eng)

> Grade 12 Mathematical Literacy Paper 2 question paper from the Gauteng Mock Exam 2022 (English), 24 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr12-mathematics-literacy-p2-english-sep-2022-question-paper/6bda4352-c269-456d-a868-ae534f8cfb3e
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 12
- Language: English
- Document type: Question paper
- Year: 2022
- Exam period: Gauteng Mock Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 24

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## About this document

Mathematical Literacy · Grade 12 · Gauteng Mock Exam · 2022 · English. Question paper, 24 pages. Read online or download the PDF.

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## Document text

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        PREPARATORY EXAMINATION
                                         2022
                                          10602
                         MATHEMATICAL LITERACY

                                        PAPER 2

TIME:     3 hours

MARKS: 150

13 pages and an addendum of 5 pages

                           This question paper consists of 13 pages.
                    An addendum of 5 pages is included in the question paper.

                                                                                P.T.O.

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                                            MATHEMATICAL LITERACY                                2
                                            (Paper 2)                                10602/22

INSTRUCTIONS AND INFORMATION

1.    This question paper consists of FIVE questions. Answer ALL the questions.

2.    Use the ANNEXURES in the ADDENDUM to answer the following questions:

      ANNEXURE A for QUESTION 2.2
      ANNEXURE B for QUESTION 4.2
      ANNEXURE C for QUESTION 5.1
      ANNEXURE D for QUESTION 5.2

3.    Number your answers correctly according to the numbering system used in this question paper.

4.    Start the answer to EACH question on a NEW page.

5.    You may use an approved calculator (non-programmable and non-graphical), unless stated
      otherwise.

6.    Show ALL calculations clearly.

7.    Round-off ALL final answers appropriately according to the given context, unless stated
      otherwise.

8.    Indicate units of measurement, where applicable.

9.    Maps and diagrams are NOT drawn to scale, unless stated otherwise.

10.   Write neatly and legibly.

                                                                                                 P.T.O.

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                                             MATHEMATICAL LITERACY                                          3
                                             (Paper 2)                                    10602/22

QUESTION 1

1.1    Study the information and the map below and answer the questions that follow.

      The Suez Canal is an artificial sea-level waterway running 193 kilometres between Port
      Said in the north and Suez in the south. The Suez Canal offers a shorter route for major
      ships carrying cargo around the world. Construction of the Suez Canal started on
      25 September 1859 and was first opened in 1869.

      When first opened, the canal was 8 metres deep, 22 metres wide at the bottom and 61 to
      91 metres wide at the surface. To allow ships to pass each other, passing bays were built
      every 8 to 10 km.

      The map below shows the Suez Canal and its surrounding areas.

                                     [Source: https://kids.britannica.com/kids/article/Suez-Canal/353819]

      1.1.1     Identify the country that borders the Suez Canal on the western side.                           (2)

      1.1.2     Write down the names of the continents separated by the Suez Canal.                             (2)

      1.1.3     Identify the sea that is found on the southern side of the Suez Canal.                          (2)

      1.1.4     Write down the distance between the city at the south of the Suez Canal and the
                city at the north of the Suez Canal. Give your answer in km.                                    (2)

      1.1.5     Mention ONE advantage that ships have when using the Suez Canal.                                (2)

                                                                                                            P.T.O.

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                                            MATHEMATICAL LITERACY                                  4
                                            (Paper 2)                                 10602/22

      1.1.6     Mention any TWO items that a ship using the Suez Canal could transport.            (2)

      1.1.7     Give ONE reason why "passing bays" were built every 8 to 10 km along the
                length of the canal.                                                               (2)

      1.1.8     Determine the number of years it took for the Suez Canal to be opened to
                maritime (sea-going) traffic from the time construction began.                     (2)

1.2   On 23 March 2020, the 1 300 ft long ship, the Ever Given travelled from Asia to Europe.
      It entered the Suez Canal in the south and sailed north. The ship got stuck in the mud
      right across the southern part of the canal.

      1.2.1     In which general direction was the Ever Given sailing through the Suez Canal?      (2)

      1.2.2     At which city did the Ever Given enter the Suez Canal?                             (2)

      1.2.3     The “Ever Given” is 1 300 ft. long. Convert the length of this container ship to
                metres, given that 1ft = 0,3048 m.                                                 (2)

                                                                                                   P.T.O.

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                                             MATHEMATICAL LITERACY                                 5
                                             (Paper 2)                                 10602/22

1.3   The chef on the ship prepared chocolate mousse for the crew members. Study the recipe
      below that he used and answer the questions that follow.

      CHOCOLATE MOUSSE RECIPE

      INGREDIENTS
      200 g dark chocolate
      30 ml brandy (optional)
      3 eggs (whites only)
      60 ml castor sugar

      100 ml cream

      Preparation time: 10 minutes            Cooking time: 5 minutes        Servings: 6 people

      METHOD
       Grate 50 g dark chocolate, break the rest into small pieces and melt in a pot.
       Stir in brandy (if using).
       Whisk egg whites until stiff, add sugar and whisk until smooth.
       Fold in cream and add two thirds of the grated dark chocolate.
       Spoon the mixture into 6 bowls, sprinkle the remaining grated chocolate and chill in
        the fridge for 2 hours.

      1.3.1     Determine the total time (in hours) that it will take to prepare and cook the
                chocolate mousse.                                                                  (2)

      1.3.2     Convert the weight of the dark chocolate to kilograms.                             (2)

      1.3.3     Write down the ratio of castor sugar to brandy in its simplest form.               (2)

      1.3.4     Determine the number of grams of grated chocolate that will be added to the
                cream.                                                                             (2)

      1.3.5     The chef started making the mousse at 11:55. At what time will it be ready for
                eating?                                                                            (2)
                                                                                                  [32]

                                                                                                   P.T.O.

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                                              MATHEMATICAL LITERACY                                  6
                                              (Paper 2)                                 10602/22

QUESTION 2

2.1   The Royal Mail Ship St Helena was a unique cargo-passenger ship built in 1989,
      specifically to supply the Island of St Helena, a British overseas territory in the tropical
      South Atlantic Ocean. The Royal Mail Ship St Helena can accommodate 156 passengers
      and 56 crew members.

      Study the information and the map above, and answer the following questions.

      2.1.1   Determine the probability that if a person could be picked at random from the
              ship, it would be a crew member. Give the answer as a percentage.                      (3)

      2.1.2   The passengers on the Royal Mail Ship St Helena are of the following
              nationalities:

                    Nationality       Number of passengers              Male        Female
                  South African                  48                      35           13
                  Russian                        12                       8            4
                  American                       56                      23           33
                  German                         23                      10           13

              Determine the probability that if a passenger is selected at random, the
              passenger will be a Russian, male passenger or a South African, female
              passenger.                                                                             (4)

                                                                                                     P.T.O.

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                                            MATHEMATICAL LITERACY                                 7
                                            (Paper 2)                                 10602/22

2.2   The Royal Mail Ship St Helena departs from Cape Town to St Helena. Study the map of
      St Helena in ANNEXURE A and answer the questions that follow.

      2.2.1   Where is the harbour on St Helena likely situated?                                  (2)

      2.2.2   Choose the correct letter that will make the following statement TRUE.

              The town of Levelwood lies:

              A    South of Longwood
              B    West of Blue Hill
              C    South-west of Jamestown                                                        (2)

      2.2.3   What type of scale is shown in ANNEXURE A?                                          (2)

      2.2.4   Use the scale on the map to determine the distance, as the crow flies, from
              Longwood (the town) to St Paul's (the town). Give the answer in kilometres.

              NOTE: 1 mile = 1,60934 km.                                                          (4)

      2.2.5   Give ONE reason why certain towns on the map are indicated with larger dots
              than other towns on the map.                                                        (2)

      2.2.6   Use a ruler to measure the approximate length, as the crow flies, of St Helena
              from the most south westerly end to the most north easterly part of the island.
              Give the answer in cm.                                                              (2)

      2.2.7   The maximum breadth of the island is approximately 10 km. Use the scale of
              the map together with the answer to QUESTION 2.2.6 to determine the
              estimated area of the entire island.                                                (4)

      2.2.8   Population density is the number of people found living in each square
              kilometre of an area. According to the last census in 2016 there were 4 534
              people living on St Helena. Use the answer to QUESTION 2.2.7 to determine
              the population density of St Helena.                                                (3)

      2.2.9   If you had the opportunity to start a business on St Helena, what type of
              business would it be?                                                               (2)
                                                                                                 [30]

                                                                                                  P.T.O.

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                                             MATHEMATICAL LITERACY                              8
                                             (Paper 2)                               10602/22

QUESTION 3

Mrs Phalatsi would like to have a swimming pool at her house. She is comparing the size of
two shapes of swimming pools.
Pool A is rectangular in shape with the depth increasing uniformly from 3 feet to 9 feet.
Pool B is cylindrical in shape with a diameter of 5 m. Below are the diagrams of both pools.

POOL A (rectangular in shape)                       POOL B (cylindrical in shape)

      Depth 1    Section A

                                          Depth 2
                    Section B

Pool A dimensions                                   Pool B dimensions
Length: 40 feet                                     Diameter: 5 m
Width: 25 feet                                      Depth : ……
Depth 1: 3 feet
Depth 2: 6 feet
The following formulae may be used:

Area of a rectangle = length × width (depth)
Area of a triangle = ½ × base × height
Area of a circle = π × radius2 (let π = 3,142) (depth)
Volume of a cylinder = π × radius2 × height
Circumference = π × diameter
π = 3,142 1 m3 = 1 000 litres        1 foot = 0,3048 m

3.1   Explain the term circumference.                                                           (2)

3.2   Convert the length of the rectangular pool to metres (m).                                 (2)

3.3   Mrs Phalatsi claims that pool A can hold over 169 000 litres of water. If the volume of
      water for section A of her pool is given as 84 951 ℓ, determine whether Mrs Phalatsi’s
      claim is correct.                                                                         (8)

                                                                                                P.T.O.

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          PLEASE DETACH THIS ADDENDUM OF 5 PAGES.

           PREPARATORY EXAMINATION
                              2022

                              10602

                    MATHEMATICAL LITERACY

                           ADDENDUM

                             PAPER 2

5 pages

                                                    P.T.O.

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                              MATHEMATICAL LITERACY                                             2
                              (Paper 2) ADDENDUM                            10602/22

ANNEXURE A: QUESTION 2.2

                                 5 miles
                      [Source: https://en.wikipedia.org/wiki/File:Districts of St Helena.svg]

                                                                                        P.T.O.

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                                           MATHEMATICAL LITERACY                                            3
                                           (Paper 2) ADDENDUM                          10602/22

ANNEXURE B: QUESTION 4.2

                                                44 feet
                                                    feet

                               12 inches                         12 inches

       [Source: https://www.chimneyspecialistsinc.com/blog/in-ground-fire-pits-vs-above-gound-fire-pits/]

                                                                                                   P.T.O.

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                                                        MATHEMATICAL LITERACY                                                      4
                                                        (Paper 2) ADDENDUM                                 10602/22

ANNEXURE C: QUESTION 5.1

                                     BMI
                                                                                                 2 to 20
                                                                                                 years

                                                                                                                    BOYS
    Patient Identifier ____________________________________________________________

                                                                                                 97th

                                                                                                 95th

                                                                                                             To calculate
                                                                                                 90th
                                                                                                             BMI:
                                                                                                 85th        Kilograms and metres
                                                                                                             weight (kg)/ height (m)2

                                                                                                 75th        Pounds and inches:
                                                                                                             weight (lb)/
                                                                                                             height (in)2 x 703

                                                                                                 50th
                                                                                                             BOYS:
                                                                                                 25th        99th percentile
                                                                                                             cut-points
                                                                                                 10th
                                                                                                 5th           AGE          BMI
                                                                                                 3rd            5           20,1
                                                                                                                6           21,6
                                                                                                                7           23,6
                                                                                                                8           25,6
                                                                                                                9           27,6
                                                                                                                10          29,3
                                                                                                                11          30,7
                                                                                                                12          31,8
                                                                                                                13          32,6
                                                                                                                14          33,2
                                                                                                                15          33,6
                                                                                                                16          33,9
                                                                                                                17          34,4
    Age
                                                                                                             From National Initiative for
     in     2    3    4    5    6    7    8   9    10   11 12 13 14         15 16 17 18         19 20        Children’s Healthcare
   years                                                                                                     Quality (www.richq.org)
           [Color coding of the 2 000 CDC BMI charts by UNC’s Department of Pediatrics and Center for
           Health Promotion and Disease Prevention (CDC Cooperative agreement U48-DP-000059) for
           research and clinical purposes]

                                                                                                                          P.T.O.

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                            MATHEMATICAL LITERACY              5
                            (Paper 2) ADDENDUM      10602/22

ANNEXURE D: QUESTION 5.2

STRIP CHART FROM CAPE TOWN TO BLOEMFONTEIN

                              END

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                                              MATHEMATICAL LITERACY                                    9
                                              (Paper 2)                                   10602/22

3.4   Choose the correct letter that will make the following statement TRUE.

      The formula to calculate the volume of pool B is:

      A    π × 5 × height
      B    π × 2,52 × height
      C    π × 52 × height                                                                             (2)

3.5   Pool B is estimated to hold 65 000 litres of water. Determine the depth of pool B and
      round-off your answer to two decimal places.                                                     (5)

3.6   Pool B is filled with water at a rate of 1,5 m3 per minute, hence Mrs Phalatsi claims that
      it can be filled to 92% of its capacity by 8:00 if the filling process starts at 7:30. Verify
      whether Mrs Phalatsi’s claim is correct.                                                         (5)

3.7   Mrs Phalatsi chose pool A. Give ONE possible reason why she opted for pool A, even
      though pool A uses more water than pool B.                                                       (2)

3.8   When Mrs Phalatsi wanted to swim in her new pool, the temperature of the water was
      19 °C and she said she would only swim if the temperature of the water was 25 °C. The
      temperature must increase by 6 °C.
      Calculate what the temperature change would be in °F.
      You may use the following formula: (°F − 32) ÷ 1,8 = °C                                          (5)
                                                                                                      [31]

                                                                                                       P.T.O.

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                                             MATHEMATICAL LITERACY                                        10
                                             (Paper 2)                                  10602/22

QUESTION 4

4.1   Sakhile has enrolled at the University of Johannesburg and is renting a bachelor flat in
      Johannesburg. Use the floor plan of Sakhile's flat below and answer the questions that follow.

      FLOOR PLAN OF SAKHILE'S BACHELOR FLAT

                                      MECHANICAL ROOM                   DECK OR
                                                                        PATIO                         N
                     BEDROOM

                                                                      LIVING AREA

                    WALK IN

                     BATHROOM
                                                                 KITCHEN

      Scale 1:100                                                       [Adapted from www.pinterest.com]

      NOTE:
      Area of bachelor flat = 322,36 square feet (ft²)
      100 cm² = 0,107639 square feet (ft²)

      4.1.1   Write down the number of doors which open into the living area and kitchen.                 (2)

      4.1.2   Use the given scale to calculate the actual length of the bedroom, including the
              mechanical room.                                                                            (5)

      4.1.3   Convert the area of the bachelor flat to m².                                                (4)

      4.1.4   Sakhile states that he likes an open plan flat. Does this bachelor flat qualify as an
              open plan flat? Give a reason for your answer.                                              (2)

                                                                                                          P.T.O.

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                                            MATHEMATICAL LITERACY                                   11
                                            (Paper 2)                                 10602/22

4.2   Mr Botha, the owner of the flat where Sakhile stays, wants to build a fire pit in the back
      yard. He searched on the internet and got the idea as indicated in ANNEXURE B.
      Use ANNEXURE B to answer the questions that follow.

      The hole for the fire pit must be 4 feet wide and 12 inches deep.

      NOTE:
      1 foot = 30,48 cm
      1 inch = 2,54 cm
      1 gallon = 3,7854 ℓ

      4.2.1   Determine the radius of the fire pit in centimetres.                                  (4)

      4.2.2   Determine the volume of the fire pit in cm3.

              You may use the following formula:
              Volume of cylinder = π × radius2 × height; using π = 3,142                            (4)

      4.2.3   What is the formula used to calculate the boundary around the circle? Choose
              the correct answer from the options given below. Write only the correct letter
              (A – D) next to the question number.

              A       Circumference of a circle = π × diameter
              B       Circumference of a circle = π × radius
              C       Area of a circle = π × radius2
              D       Volume of a cylinder = π × radius2 × height                                   (2)

      4.2.4   Hence, calculate the circumference of the hole for the fire pit. Round-off your
              answer to three decimal places.                                                       (3)

      4.2.5   A layer of three 5 gallon buckets of lava rocks must be placed in the hole.
              Mr Botha said that two and three quarters of a 20 ℓ bucket is equal to three
              5 gallon buckets.

              Verify his statement, and state whether there will be a surplus or shortage of
              lava rocks.                                                                           (5)
                                                                                                   [31]

                                                                                                    P.T.O.

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                                            MATHEMATICAL LITERACY                                12
                                            (Paper 2)                                10602/22

QUESTION 5

5.1   Study the percentile chart in ANNEXURE C and answer the questions that follow.

      Coach Maxwell, the trainer at a local athletics club uses percentile charts to determine
      the health status of athletes who are joining the club in order to determine the best
      exercise for them. Coach Maxwell allows athletes whose BMIs are between the 5th and
      the 85th percentile to join the club.

      5.1.1   What does the abbreviation BMI represent?                                          (2)

      5.1.2   Determine the maximum BMI that a boy should have to be able to join the club.      (2)

      5.1.3   Hence, determine the maximum weight of a boy who is 1,8 m tall and whose
              BMI is considered healthy for a boy athlete.

              You may use the following formula:

                      weight (kg)
              BMI =
                      height(m) 2                                                                (4)

      5.1.4   A 14-year-old boy who weighs 48 kg and whose height is 1,3 m, claims that he
              qualifies to be admitted to the club. Calculate the BMI of the boy.                (2)

5.2   Use ANNEXURE D to answer the following questions.

      Coach Maxwell is travelling from Cape Town to Bloemfontein.

      5.2.1   Determine the distance from Colesberg to Beaufort West.                            (2)

      5.2.2   Determine the probability of driving through or past a town starting with the
              letter T, along the N1 from Cape Town to Bloemfontein.                             (2)

                                                                                                 P.T.O.

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                                      MATHEMATICAL LITERACY                                13
                                      (Paper 2)                              10602/22

5.2.3   On his way from Cape Town to Bloemfontein, coach Maxwell stopped at
        Laingsburg for 45 minutes to have lunch. His next stop was Beaufort West for
        15 minutes and then later he stopped for 15 minutes in Colesberg. The trip
        from Cape Town to Bloemfontein took him 9 hours and 15 minutes in total.

        Calculate the average speed (to the nearest km/h) at which coach Maxwell
        travelled from Cape Town to Bloemfontein.

        Justify, by calculation, whether he kept to the maximum speed limit of
        120 km/h on national roads.

        You may use the following formula:

                           Distance
        Average Speed 
                            Time                                                           (6)

5.2.4   The fuel consumption of coach Maxwell’s car is 5,9 ℓ/100 km and the fuel
        tank capacity is 45 ℓ. Verify whether it was necessary for coach Maxwell to
        refuel at any of the stops he made on his way to Bloemfontein. Show ALL
        calculations.                                                                      (6)
                                                                                          [26]

                                                                                 TOTAL:   150

                                          END

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