# Mathematical Literacy Grade 12 P2 Eastern Cape Mock 2019 QP

> Grade 12 Mathematical Literacy Paper 2 question paper from the Eastern Cape Mock Exam 2019 (English), 16 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/maths-lit-p2-qp-gr12-sept2019-english/df38da0d-da5d-49ad-84bb-45ce697dd9b3
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 12
- Language: English
- Document type: Question paper
- Year: 2019
- Exam period: Eastern Cape Mock Exam
- Paper: 2
- Curriculum: CAPS
- Pages: 16

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## About this document

Mathematical Literacy · Grade 12 · Eastern Cape Mock Exam · 2019 · English. Question paper, 16 pages. Read online or download the PDF.

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## Document text

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                                 NATIONAL
                            SENIOR CERTIFICATE

                                       GRADE 12

                              SEPTEMBER 2019

                 MATHEMATICAL LITERACY P2

MARKS:     150

TIME:      3 hours

                                        *MLITE2*

   This question paper consists of 11 pages; a 6-pages addendum and a 1-page answer sheet.

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2                                MATHEMATICAL LITERACY P2                         (EC/SEPTEMBER 2019)

    INSTRUCTIONS AND INFORMATION

    Read the following instructions carefully before answering the questions.

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

    2.    Use the ADDENDUM with ANNEXURES for the following questions:

          ANNEXURE A for QUESTION 1.1
          ANNEXURE B for QUESTION 1.3
          ANNEXURE C for QUESTION 2.1
          ANNEXURE D for QUESTION 4.1
          ANNEXURE E for QUESTION 4.2

          Write your NAME and GRADE in space provided on the ANSWER SHEET for
          QUESTION 3.2.5. Hand your ANSWER SHEET in with your ANSWER BOOK.

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

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

    5.    Show ALL calculations clearly.

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

    7.    Indicate units of measurement, where applicable.

    8.    Round off ALL final answers appropriately accordingly to the given context, unless
          stated otherwise.

    9.    Start EACH question on a NEW page.

    10.   Write neatly and legibly.

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(EC/SEPTEMBER 2019)                  MATHEMATICAL LITERACY P2                                              3

 QUESTION 1

 1.1   Ayryn bought a house in 2018. She decided to draw up a loan model for the duration
       of the loan period as shown in ANNEXURE A (some information has been omitted).
       Use the information in ANNEXURE A (TABLE 1) to answer the questions below.

       1.1.1 Show, with calculations, how the interest amount of R6 088,06 for month 3
             was calculated.                                                                           (3)

       1.1.2 The bank uses the following Home Loan Factor Table to calculate the
             monthly repayments on home loans:

                                 TABLE 2: Home Loan Factor Table 2018

                                                         Years
                                      5      10      15       20        25        30
                        Interest
                                                       Factor
                           %
                         9,00%      20,76   12,67   10,14    9,00      8,39      8,05
                         9,25%      20,88   12,80   10,29    9,16      8,56      8,23
                         9,50%      21,00   12,94   10,44    9,32      8,74      8,41
                         9,75%      21,12   13,08   10,59    9,49      8,91      8,59
                         10,00%     21,25   13,22   10,75    9,65      9,09      8,78
                         10,25%     21,37   13,35   10,90    9,82      9,26      8,96
                                             [Adapted from http://capetownproperty.blaauwberg.net]

                Use TABLE 2 above with TABLE 1 in ANNEXURE A and show how the
                monthly repayment was calculated.

                NOTE:
                 Monthly repayments are calculated by dividing the home loan amount
                  by 1 000 and multiplying by the factor.
                 The factor used depends on the number of years and the interest rate.                (3)

       1.1.3 Calculate the closing balance of month 3.                                                 (2)

       1.1.4 Ayryn stated if she had chosen a shorter period, her monthly repayment would
             have been less. Refer to the loan factor table and briefly explain, without
             calculations, whether Ayryn’s statement is valid or not.                                  (3)

       1.1.5 A friend told Ayryn that after 119 repayments, she will already have paid
             R15 000 more than the original home loan amount. Verify, with the necessary
             calculations, whether this statement is valid or not.                                     (5)

       1.1.6 What effect will an increased monthly repayment have on the total interest she
             has to pay on her home loan?                                                              (2)

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4                              MATHEMATICAL LITERACY P2                           (EC/SEPTEMBER 2019)

 1.2   Ayryn wants to extend one of her rooms. The extension will be 2 metres by 2 metres.
       The builder must lay the concrete floor before the building can start. The builder will
       use the chart as shown below as a guideline.

                                                                  [Source: http://pinterest.com]
       The height of the concrete floor is 300 mm.

       1.2.1 Calculate the volume of the concrete floor in cubic metres (m3) that must be
             filled with concrete.

                You may use the formula:
                Volume = Length × Breadth × Height                                                   (3)

       1.2.2 Determine how many bags of cement should be used for the volume
             calculated in QUESTION 1.2.1.                                                           (4)

       1.2.3 After the building of the room was completed, Ayryn needed to paint the
             inside walls. The painter indicated that two coats will be needed.
               The surface area of the room to be painted is 15 m2.
               8% more paint will be needed.
               The spread rate is 5 m2 per litre.
             Calculate how many 5-litre tins must be bought.                                       (4)

 1.3   The graph shown in ANNEXURE B shows the prediction of the South African
       average house prices forecast to 2020.
       Use the graph (ANNEXURE B) to answer the following questions.

       1.3.1 It is predicted that the price of an average house in South Africa increased by
             5% in 2015 and by 4% thereafter to 2020.
             Based on the above prediction determine the price of an average house for
             2016.                                                                                   (4)

       1.3.2 Calculate the percentage change in the price of an average house in South
             Africa for the period illustrated in the graph. Give your final answer to the
             nearest percentage.                                                                    (4)
                                                                                                   [37]

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(EC/SEPTEMBER 2019)                    MATHEMATICAL LITERACY P2                                              5

 QUESTION 2

 2.1   Gustav, a 52-year-old employee, married with 2 children, aged 10 and 16 years
       respectively, earns a gross annual salary of R401 137,75. He contributes 7,5% (non-
       taxable) of his annual salary to a pension fund. He also contributed to a medical aid
       scheme for the whole family.
       Use the Tax Table for the 2018–2019 financial year in ANNEXURE C to answer the
       following questions.

       2.1.1 Calculate Gustav’s taxable income for the 2018–2019 financial year.                            (3)

       2.1.2 For 11 months Gustav pays R2 500 per month for his 10-year-old and R3 200
             per month for his 16-year-old in school fees.

                He claims that with the tax he is paying for the year, he could have paid his
                children’s school fees. Show, with the necessary calculations, whether his
                statement is valid or not.                                                                  (9)

 2.2   Sipho is teaching Social Sciences to Grade 9 learners at his school. He uses the pie
       charts below to show how the population percentages in South Africa changed
       according to the different race groups. The pie charts represent 1911 and 2004
       respectively. Study the pie charts below to answer the questions below.

                                                                          [Source: http://reddit.com]

        2.2.1 Determine the probability of randomly choosing a person other than African
              from the 2004 population.                                                                     (2)

        2.2.2 Calculate the difference in the total number of the African population group
              between 1911 and 2004 in South Africa.                                                        (7)

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6                                MATHEMATICAL LITERACY P2                             (EC/SEPTEMBER 2019)

          2.2.3 The percentage of the Coloured population in 1911 and 2004 is the same.
                Show, with the necessary calculations, whether the number of Coloured
                populations in these two years are the same.                                            (3)

          2.2.4 Comment on the trend and the percentages of African and Indian race groups
                over the period.                                                                        (2)

    2.3   The Grade 12 class for 2019 has a farewell function to organise. Each learner must
          contribute R300,00. There are 25 couples and 17 singles.
          The organisers got two quotes as follow:
          Option 1: R1 500 for the hall and R250 per person for the meal
          Option 2: R270 per person for the singles and 4% less for couples per person

          2.3.1 Determine the total number of people that will attend the farewell.                     (2)

          2.3.2 The organisers claim that if they choose Option 1 instead of Option 2, they can
                have more money left to spend on photos. Verify, with the necessary
                calculations, whether the statement is valid or not.                                    (8)
                                                                                                       [36]

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(EC/SEPTEMBER 2019)                  MATHEMATICAL LITERACY P2                                            7

 QUESTION 3

 3.1   Below is an extract of a map that show the location of two airports in Germany,
       Frankfurt-Hahn and Frankfurt airports. Study the map and answer the questions that
       follow.

                                                                                         [Adapted]

       3.1.1 In which general direction is Neuwied from Mainz?                                          (2)

       3.1.2 Calculate the actual distance in miles between the two airports. Give your final
             answer to THREE decimal places.                                                            (4)

       3.1.3 Write the scale of the map as a unit ratio (1: …) to the nearest million.

                You may use the following conversion:
                1 mile = 1,609 kilometres                                                               (4)

       3.1.4 Give ONE possible reason why airports in general are located away from
             residential areas.                                                                         (2)

       3.1.5 On which road on the western side will you travel from Worms to Koblenz?                   (2)

       3.1.6 The travelling distance from Worms to Koblenz is 78 miles.
             Judith claims that if she leaves Koblenz at 07:20 and travels at an average speed
             of 40 miles per hour, she will be on time for her interview at 09:15 in Worms.
             Show, with the necessary calculations, whether her claim is valid or not.

                You may use the formula:
                Distance = Speed × Time                                                                 (7)

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8                                 MATHEMATICAL LITERACY P2                          (EC/SEPTEMBER 2019)

 3.2   Kenneth plan to visit Judith in Frankfurt. Judith sent him the annual average
       minimum and maximum temperatures for Frankfurt as shown below.

          Month  Jan Feb Mar Apr May Jun                  Jul Aug Sep Oct Nov Dec
         Minimum
          in °C   A   -1  2   4   9   12                  13   13    10      6     2      -1

         Maximum       3      6      10   14   19    22   24   24    19     13     7      4
          in °C
                                                           [Adapted from http://lh-travelguide.com]

       Study the information above and answer the questions below.

       3.2.1 The range of the data for the minimum temperature is 15 °C. Determine the
             lowest temperature indicated by A.                                                        (3)

       3.2.2 Judith made two mistakes when calculating the median of the maximum
             temperatures. The following is her calculation:

                           22 + 24
                Median =
                            2
                       = 34

                (a)    Identify Judith’s mistakes.                                                     (2)

                (b)    Calculate the median.                                                           (2)

       3.2.3 Kenneth says he hates getting cold. Advise him with a reason which months
             he must visit Judith.                                                                     (3)

       3.2.4 Determine the probability that the minimum temperature will be greater than
             minus 1 °C, but less and equal to 9 °C. Give your final answer as a decimal
             fraction to THREE decimal places.                                                         (3)

       3.2.5 The line graph for the maximum temperatures has been drawn in ANSWER
             SHEET 1. Use the same set of axes to draw the line graph for the minimum
             temperatures.                                                                             (5)
                                                                                                      [39]

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(EC/SEPTEMBER 2019)                  MATHEMATICAL LITERACY P2                                           9

 QUESTION 4

 4.1   Jona wants to build his own hot air balloon. He follows the illustrations as shown in
       ANNEXURE D.

       4.1.1 Diagram R is only a part of Diagram Q. Determine the total area of the
             material that the hot air balloon is made of.

                You may use the following formulae:
                Area of rectangle = Length × Width
                                   𝟏
                Area of triangle = 𝟐 × base × height                                                (8)

       4.1.2 Give a reason why there must be an overlap of 3 mm on the sides as
             illustrated in Diagram T.                                                              (2)

       4.1.3 Briefly explain what Jona has to do with the hot air balloon in Diagram T and
             Diagram U.                                                                             (2)

       4.1.4 Write down the function of the hair dryer in Diagram V.                                (2)

 4.2   Jona wants to have a ride in a hot air balloon. He did some research and came across
       an illustration shown in ANNEXURE E. It shows how hot air balloons are lifted
       depending on the temperature.

       4.2.1 Use ANNEXURE E to describe the relationship between the temperature of
             the hot air balloon and the lift of the hot air balloon.                               (4)

       4.2.2 The table below shows the density of air at sea level for various temperatures
             of the hot air balloon.
                                         Air Density Table
                        Temperature in °C                    Air density kg/m3
                                0                                  1,293
                               10                                  1,247
                               20                                  1,204
                               30                                  1,165
                               40                                  1,128
                               80                                  1,000
                               90                                  0,972
                              100                                  0,946
                                                                   [Source: http://buoyancy.png]

                With reference to the table above and ANNEXURE E to answer the following
                question.
                Determine the lift of hot air balloon B.

                You may use the following formula:
                Lift = (Air density outside the hot water balloon – Air density inside hot
                air balloon) × Volume of the hot air balloon                                        (7)

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10                             MATHEMATICAL LITERACY P2                              (EC/SEPTEMBER 2019)

       4.2.3 The instructor has hot air balloons with a variety of colours. Thirty-three
             green, eight orange, nineteen pink, twenty-one red and twelve blue. Determine
             the probability that Jona will choose either a green or a blue hot air balloon to
             ride in. Give your final answer as a common fraction in its simplest form.                 (3)

 4.3   Jona and three friends wants to visit Cappadocia, a historical region in Central Anatolia
       in Turkey where they will also go for the hot air balloon rides. They investigated the
       cost of their accommodation and the cost of the hot air balloon rides to get an idea of
       the costs.
       They received the following information:
       Accommodation: R1 030 per person per night
       Hot air balloon rides: R750 per person per ride

       NOTE:
       They are checking in on Monday (15 April 2019) and checking out on Friday (19
       April 2019).
       Group bookings for the hot air balloon rides for 4 persons will be charged at a
       discount of 15% per person.

       Use the information above to calculate how much Jona and his friends will pay in total
       for the accommodation and one hot air balloon ride, if they go as a group. Give your
       final answer in Turkish Lira.

       Exchange rates as at 08 February 2019:

                           1$ (American Dollar) = 5,25 Turkish Lira
                     1$ (American Dollar) = 13,63 ZAR (South African Rand)
                                                                        [Source: http://ferates.com]   (10)
                                                                                                       [38]

                                                                                        TOTAL:         150

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(EC/SEPTEMBER 2019)                        MATHEMATICAL LITERACY P2                                    11

ANSWER SHEET 1: QUESTION 3.2.5

NAME and SURNAME: ………………………………………………………………….

Grade 12: …………..

                        Average Minimum and Maximum temperatures in Frankfurt
                   30

                   25

                   20

                   15

     Temperature

                   10

                    5

                    0
                        Jan   Feb   Mar   Apr   May   Jun   Jul   Aug   Sep   Oct   Nov     Dec

                   -5
                                                       Months

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