# Mathematical Literacy Grade 11 P2 2015 QP (Eng)

> Grade 11 Mathematical Literacy Paper 2 question paper from the Eastern Cape November 2015 (English), 16 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/gr11-mlit-p2-n15-qp-eng/75c006d5-7835-4cdb-97ad-35cb07b0da78
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 11
- Document type: Question paper
- Year: 2015
- Exam period: Eastern Cape November
- Paper: 2
- Curriculum: CAPS
- Pages: 16

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## About this document

Mathematical Literacy · Grade 11 · Eastern Cape November · 2015. Question paper, 16 pages. Read online or download the PDF.

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                                 NATIONAL
                            SENIOR CERTIFICATE

                                   GRADE 11

                              NOVEMBER 2015

                    MATHEMATICAL LITERACY P2

MARKS:        100

TIME:         2 hours

                                     *imlit2*

        This question paper consists of 12 pages, including an annexure of 3 pages.

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2                                 MATHEMATICAL LITERACY P2                   (EC/NOVEMBER 2015)

 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.   QUESTION 1.1 must be answered with reference to ANNEXURE A,
      QUESTION 2.1.2 must be answered on ANNEXURE B and QUESTION 4.1.7
      must be answered on ANNEXURE C. Write your NAME and CLASS GROUP
      on ANNEXURES B and C and hand in with your ANSWER BOOK.

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

 4.   An approved calculator (non-programmable and non-graphical) may be used,
      unless stated otherwise.

 5.   ALL calculations must be clearly shown.

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

 7.   Start EACH question on a NEW page.

 8.   Write neatly and legibly.

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(EC/NOVEMBER 2015)                 MATHEMATICAL LITERACY P2                                     3

 QUESTION 1

 1.1    Study the floor plan of the Greenacres Shopping Centre in Port Elizabeth
        (ANNEXURE A) and answer the questions that follow.

        1.1.1        How many entrances can you use to access the centre?                        (2)

        1.1.2        You get a call from your friend. The two of you lost each other in the
                     centre. Your friend is at the Automatic Teller Machine (ATM) at
                     Shop No. 40. You are waiting for your friend at Entrance No. 2.
                     Explain to your friend the quickest way how to get to Entrance No.2.        (3)

 1.2    You and your friend want to watch the movie “The Best of Me” that is
        screened in Cinema 15 at “The Bridge” near the Greenacres Shopping
        Centre. The running time of the movie is 117 minutes.

        The show times of the movie are shown below for Sunday,
        11 January 2015.

        Sun 11 Jan
        10:00      12:15             14:45        17:45        20:15        22:30

        1.2.1        Write the running time of the movie in hours and minutes.                   (2)

        1.2.2        You and your friend arrived at the centre at 11:20 and have to be at
                     home by 17:30. It takes you two thirds of an hour from Greenacres
                     Shopping Centre to your home. With your arrival at the centre, you
                     and your friend spend three quarters of an hour at the Food Court.
                     It will take you about 15 minutes to buy your tickets. Show with the
                     necessary calculations which of the times will be most suitable for
                     you to watch the movie.                                                     (6)

        1.2.3        Give TWO reasons why the movie for the next time slot is not
                     exactly after the end of the previous screening.                            (2)

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4                                  MATHEMATICAL LITERACY P2                    (EC/NOVEMBER 2015)

 1.3    The following table shows the prices of the movie tickets at The Bridge
        Cinemas:

        Kids (younger than 18 years)
        Adults (18–60 years)
        Seniors (older than 60 years)

        Table 1: Price of movie tickets at The Bridge

        Regular Pricing                        Adults               Kids and Seniors
        2D                                     R 62,00                   R43,00
        3D                                     R 75,00                   R55,00

                                  – Mon, Tue, Thurs, Fri
        2D                                                                R 38,00
        3D                                                                R 55,00

        Wowza Wednedays
        2D                                                                R 37,00
        3D                                                                R 45,00

        1.3.1        Calculate the total price of the tickets for you and your friend. You
                     are 18 years old and your friend 16 years; and you will be watching
                     the movie in 3D.                                                           (3)

        1.3.2        Seeing that you and your friend are dependent on allowances from
                     your parents, why do you think you and your friend chose the wrong
                     day to watch movies?                                                       (2)
                                                                                               [20]

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(EC/NOVEMBER 2015)                 MATHEMATICAL LITERACY P2                                     5

 QUESTION 2

 2.1    Mr. Gardner has a landline telephone. His service provider offers him a
        choice of their new call packages. Below is a table showing the two different
        call packages that they offer.

        Table 2: Two Landline call packages

          Call Package A                              Call Package B
         Monthly rental of             Monthly rental of R200
          R100                          First 150 minutes are free
         First 100 minutes             Calls cost 60 cents per minute
          are free
         Calls cost 80
          cents per minute

        2.1.1        The total cost for Call package A is given by the following formula:

                     Total cost (in Rand) = R100 + number of minutes more than 100 x R0,80

                     (a)     Write down a formula which can be used to calculate the
                             total cost in Rand for Call package B.                              (3)

                     (b)     If Call package B is used, determine the total cost in Rand,
                             if Mr. Gardner and his family made calls with a total
                             duration of 625 minutes.                                            (4)

        2.1.2        The line graph illustrated in ANNEXURE B shows the total cost for
                     Call package B. On the same set of axes, draw a line graph to
                     illustrate the total cost for Call package A.                               (5)

        2.1.3        Briefly define what is meant by concept, break-even point, in the
                     given context.                                                              (2)

        2.1.4        Write down the co-ordinates of the break-even point on the graph.           (2)

        2.1.5        Show by means of calculation that Call Package A costs 20 cents
                     more than Call Package B for using the minimum number of
                     minutes after the break-even point.                                         (4)

        2.1.6        Mr. Gardner wants to spend a maximum of R300 per month on one
                     of the Call packages. Which Call package would you advise him to
                     choose? Motivate your answer by showing all calculations.                   (5)

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6                                  MATHEMATICAL LITERACY P2                   (EC/NOVEMBER 2015)

 2.2    The service providers have a major task on their hands. For Landline
        numbers they have to use a system where they make entirely sure that a
        number is not duplicated (repeated).

        Landline numbers consists of ten digits. The first three digits are for the area
        code followed by seven digits. The first three digits of the remaining seven
        digits for the area where Mr. Gardner lives, starts with 423 followed by the
        last four digits.

        The last four digits are numbers that can be repeated using the numbers 0
        to 9.

        Show with calculations how many households in Mr. Gardner’s area can be
        issued with a landline number starting with 041 423 _ _ _ _?                           (3)
                                                                                              [28]

 QUESTION 3

 3.1    As availability of water is becoming a major problem in South Africa, more
        people are intending to save water. Therefore some of them are
        investigating how they are billed and if the billing is correctly calculated.

        Mrs. Treace is one of those people and stays in Cape Town. She studied the
        water tariffs for 2013–2014 carefully.

        Below is a table showing the water tariffs for Cape Town during
        2013–2014. Study the table carefully before answering the questions.

        Table 3 Water Tariff for Cape Town 2013–2014

          From             To         Rand per kl excluding VAT         Including VAT
        > 0,0 kl         6,0 kl                R 0,00                       R0,00
        > 6,0 kl         10,5 kl                R7,60                       R8,66
        > 10,5 kl        20,0 kl               R11,61                       R13,24
        > 20,0 kl        35,0 kl               R17,20                         A
        > 35,0 kl        50,0 kl               R21,24                       R24,22
        > 50,0 kl                                 B                         R31,95

        3.1.1        Calculate the missing values for A and B respectively.                    (4)

        3.1.2        If Mrs. Treace uses on average 19,5 kl of water per month, will she
                     be paying for the full 19,5 kl? Give a reason for your answer.            (2)

        3.1.3        Hence, calculate how much Mrs. Treace will pay for using 19,5 kl of
                     water including VAT.                                                      (4)

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(EC/NOVEMBER 2015)                MATHEMATICAL LITERACY P2                                    7

 3.2    One of the ways to save water is to install a water tank. Mrs. Treace decided
        to investigate the different types of water tanks that is sold in order to make
        the best decision.

        Below are diagrams of a vertical, round water tank and a rectangular water
        tank. Study these diagrams and the information given and then answer the
        questions that follow.

        Vertical Round water tank                  Rectangular water tank

        Vertical Round water tank                  Rectangular water tank
        d = diameter                               l = length
        h = height                                 w = width
        f = recommended filled height              h = height
                                                   f = recommended filled height

                                 Vertical Round Water Tanks
                      Tank Volume in litres     Diameter in mm           Height in mm
          1                  1 000                   750                     2230
          2                  1 000                  1100                     1400
          3                  1 000                  1100                     1300

                                Rectangular Water Tanks
           Tank Volume in litres    Depth in mm Height in mm               Width in mm
                  1000                  520           1770                    1260

        3.2.1        Show with the necessary calculations that the volume of the vertical
                     round water tank numbered 1 is not exactly 1000 liters as indicated
                     in the table.

                     Use the formula:
                     Volume of vertical round water tank = 3,142 x radius2 x height
                     of the water tank.
                     Please Note: 1 m3 = 1000 l                                                (6)

        3.2.2        With reference to your answer in QUESTION 3.2.1, why do you
                     think that there is a difference in the volume between what you have
                     calculated and the given volume? Also explain how this given
                     information can be misleading to consumers.                               (3)

        3.2.3        Briefly explain why the diagrams indicate a recommended filled
                     height.                                                                   (2)

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8                                  MATHEMATICAL LITERACY P2                     (EC/NOVEMBER 2015)

        3.2.4        In her backyard, Mrs. Treace has only one open area next to her
                     house to install the water tank. The width of the area is 1,15 m.
                     Which of the water tanks must she buy that will satisfy the
                     requirement?                                                                 (2)

 3.3    Mrs. Treace will be using the water in her water tank for various purposes. If
        Mrs. Treace wants to illustrate her usage graphically, which graphical
        representations can Mrs. Treace use to illustrate how she is using the
        water?                                                                                    (2)
                                                                                                [25]
 QUESTION 4

 4.1    The following table illustrates the weather forecast for George from
        Wednesday, 14 January 2015 to Tuesday, 20 January 2015. Study the
        weather forecast and answer the questions that follow.

 Table 4: Weather forecast for George
   Wed          Thu      Fri                      Sat       Sun               Mon           Tue

 26 °C          29 °C           22 °C         23 °C         22 °C           21 °C         24 °C
 Partly         Sunny           Windy         Partly        Sunny           Mostly        Partly
 Cloudy                                       Cloudy                        Cloudy        Cloudy
    Wed               Thu            Fri          Sat           Son            Mon         Tue

    21 °C            20 °C         15 °C        16 °C         17 °C          17 °C        17 °C
    Mostly           Partly        30%          Mostly        Partly         Mostly       Mostly
    Clear            Cloudy       Chance        Clear         Cloudy         Cloudy       Cloudy
                                   Rain
                                  Shower
                                                                  [http://weather.weatherbug.com]

        4.1.1        Calculate the mean day temperature for George for the forecasted
                     period. Round your final answer to the nearest temperature in °C.            (4)

        4.1.2        Determine the range for the period.                                          (2)

        4.1.3        Calculate the median for the night temperatures.                             (2)

        4.1.4        Briefly explain the trend of the night temperatures.                         (2)

        4.1.5        On which day was the difference in temperature the smallest? Write
                     down this difference.                                                        (2)

        4.1.6        Write down the day where the day and night temperatures showed
                     a decreasing trend.                                                          (2)

        4.1.7        Use the information in the table to draw a compound bar graph in
                     ANNEXURE C.                                                                  (6)

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(EC/NOVEMBER 2015)             MATHEMATICAL LITERACY P2                                      9

 4.2    Explain what is meant by the forecast for Friday that states “30% chance of
        rain shower”.                                                                         (2)

 4.3    4.3.1    You want to travel from George to Knysna.

                 The distance between George and Knysna is 64,7 km. Show with
                 the necessary calculations how long it will take you from George to
                 Knysna if you are driving at a speed of 90 km per hour. Give you
                 answer to the nearest minute.

                 You may use the formula:
                 Distance = Speed x Time                                                      (3)

        4.3.2    If you experience problems with your car on the route, will it be
                 possible that you will complete the trip in the time that you have
                 calculated in QUESTION 4.3.1.                                               (2)
                                                                                            [27]

                                                                               TOTAL:        100

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10                         MATHEMATICAL LITERACY P2      (EC/NOVEMBER 2015)

 ANNEXURE A

 ATM (Automatic Teller Machine)               Entrance
 OTM (Outomatiese Teller Masjien)             Ingang

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(EC/NOVEMBER 2015)         MATHEMATICAL LITERACY P2             11

ANNEXURE B

QUESTION 2.1.2

NAME:

GRADE 11:

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12                         MATHEMATICAL LITERACY P2   (EC/NOVEMBER 2015)

 ANNEXURE C

 QUESTION 4.1.7

 NAME:

 GRADE 11:

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