# Mathematical Literacy Grade 11 P2 North West June 2018 QP

> Grade 11 Mathematical Literacy Paper 2 question paper from the North West June 2018, 10 pages. Read online or download the free PDF.

- Page: https://www.hlayiso.com/library/mathematical-literacy-gr-11-paper-2-1/5a5767b4-cccb-4b2f-a164-c627ad846231
- Updated: 2026-09-27
- Subject: Mathematical Literacy
- Grade: Grade 11
- Document type: Question paper
- Year: 2018
- Exam period: North West June
- Paper: 2
- Curriculum: CAPS
- Pages: 10

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## About this document

Mathematical Literacy · Grade 11 · North West June · 2018. Question paper, 10 pages. Read online or download the PDF.

Read it free online on the page above; download the PDF from there.

## Document text

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### Page 1

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                                   NATIONAL
                              SENIOR CERTIFICATE

                                     NATIONAL
                            SENIOR CERTIFICATE

                                     GRADE 11

                           MATHEMATICAL LITERACY P2

                                          JUNE 2018

MARKS:       75

TIME:        1,5 hour

This question paper consists of 10 pages including 2 annexures and 1 answer sheet.

                  Demo
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                                             2
MATHEMATICAL LITERACY/P2                                                      NW/JUNE 2018
                                         GRADE 11
INSTRUCTIONS AND INFORMATION

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

2.    2.1    Use the ANNEXURES in the QUESTION PAPER to answer the following
             questions:

                ANNEXURE A for QUESTION 2.3
                ANNEXURE B for QUESTION 3

      2.2    Answer QUESTION 1.2 on the ANSWER SHEET attached.

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

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

5.    ALL the calculations must be clearly shown.

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

7.    Units of measurement MUST be indicated, where applicable.

8.    Diagrams are NOT necessarily drawn to scale, unless stated otherwise.

9.    Write neatly and legibly.

                 Demo
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                                              3
MATHEMATICAL LITERACY/P2                                                          NW/JUNE 2018
                                          GRADE 11
QUESTION 1

 Jabulani, who lives in Pretoria, wants to hire a car for a trip to Klerksdorp and back. The
 distance from Pretoria to Klerksdorp is 250 km.

 He contacts the company for a quotation and is given two options below.

 Option 1: The company charges R450 per day plus 50 cents for every kilometre travelled.

 Table 1: Cost of hiring a car using Option 1
  Distance (km)     0        50      100      150        200       250      300      350
  Cost (R)          450      475     500      525        550       P        600      625

 Option 2: The company charges R200 per day for the first 100 km or part thereof and R2
 per kilometre for every additional kilometres travelled after the first 100 km.

 Table 2: Cost of hiring a car using Option 2
  Distance (km)     0        50      100      150        200       250      300      350
  Cost (R)          200      200     200      300        Q         500      600      700

Use the information above to answer the questions that follow.

1.1    Calculate the following missing values:

       1.1.1 P                                                                             (2)

       1.1.2 Q                                                                             (2)

1.2    Use the grid provided on the ANSWER SHEET to draw the line graph
       representing Option 2. Clearly label the two graphs.                                (7)

1.3    Explain the break-even point in this context.                                       (2)

1.4    Jabulani claims that it took him 2 hours and 45 minutes to travel the distance
       between Pretoria and Klerksdorp at an average speed of 100 km/h.

       Verify, using calculations, whether Jabulani’s claim is correct.

       You may use the formula:

       Distance = time × average speed                                                      (5)
                                                                                           [18]

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MATHEMATICAL LITERACY/P2                                                         NW/JUNE 2018
                                           GRADE 11
QUESTION 2

 Mrs Thompson decided to install a solar geyser on the roof of her house to reduce the
 electricity bill.

 The solar panels use sunlight to heat the water stored in the cylindrical tank. The heated
 water can then be used in the house.

 There are six people altogether in Mrs Thompson’s household.

 The solar geyser consists of rectangular solar panels and a cylindrical storage tank as shown
 in the diagrams below.

                 Solar panels                                Geyser

                          breadth = 1,5m

                            length
 You may use the following formulae:

 Area of rectangle = length × breadth

 Volume of cylinder = π × r2 × h, where π = 3,142

 1ℓ = 1 000 cm3 and π = 3,142

Use the information above to answer the questions that follow.

2.1    Mrs Thompson was told that she needs solar panels with an area of 2 m2 for
       the first two members in the household and thereafter an area of 0,7 m2 for
       each additional member.

       Calculate the total length of the solar panels needed by Mrs Thompson.                 (5)

2.2    The geyser has a volume of 150 ℓ and a height of 120 cm.
       Calculate the radius, to the nearest cm, of the geyser.                                (5)

                  Demo
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MATHEMATICAL LITERACY/P2                                                       NW/JUNE 2018
                                           GRADE 11

2.3    The electrician charges Mrs Thompson R11 590 to supply and install the
       geyser. Mrs Thompson is offered 15% discount if she pays full amount before
       installation. She then considered taking a personal loan over 36 months in
       order to install the geyser. She obtained the personal loan repayment table
       from Leballo Financial Assistance provided on ANNEXURE A

      Use ANNEXURE A and the information above to answer questions that follow.

      2.3.1 Mrs Thompson claims that a loan of R10 000 will be sufficient to
            pay the total cost required by the electrician.

             Verify, using calculations, whether her claim is correct.                 (4)

      2.3.2 Determine:

             (a)      the initiation fee as a percentage of the loan amount.           (2)

             (b)      the total interest she will pay for her loan.                    (3)

      2.3.3 Give ONE possible reason for paying monthly balance protection
            insurance fee.                                                             (2)

2.4   The electrician told Mrs Thompson that the temperature of the geyser
      should always be at 140˚F.

      Calculate the temperature of the geyser in ˚C.

      You may use the formula:

      ˚F = 1,8 × ˚C + 32˚                                                              (3)
                                                                                      [24]

                   Demo
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MATHEMATICAL LITERACY/P2                                                          NW/JUNE 2018
                                           GRADE 11
QUESTION 3

 Mr Thibedi and his family travelled from Durban to East London. They left Durban
 with a full tank of petrol. Along the way they stopped at a petrol station to refuel at the
 cost of R420,30.

 Note:
 The car has a consumption rate of 9 litres per 100 km.
 The capacity of the tank is 60 litres.
 The cost of fuel is R14,01 per litre.

 A map of South Africa showing the national roads is given on ANNEXURE B

Use ANNEXURE B to answer the questions that follow.

3.1    Calculate the actual distance (in kilometres) between Durban and
       East London.                                                                            (4)

3.2    Before refuelling, the fuel gauge indicated that the tank was half full.

       Verify, showing calculations, whether the fuel gauge was properly
       working.                                                                                (3)

3.3    Mr Thibedi claims that by the time they refuelled the tank, they were
       left with 300 km to East London.

       Verify, using the answer in QUESTION 3.2, whether Mr Thibedi’s claim is valid. (4)

3.4    Describe, in detail, the shortest possible route using the national roads to
       travel from East London to Beaufort West.                                               (4)

3.5    Give ONE other reason why the family had to stop at the petrol station.                  (2)
                                                                                               [17]

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MATHEMATICAL LITERACY/P2                                                           NW/JUNE 2018
                                            GRADE 11
QUESTION 4

 The cable car travels up and down the mountain which is 3 559 feet above sea level every
 15 minutes, ferrying up to a maximum of 65 visitors at a time. The cable car stays open
 from 08:30 to 18:00. It takes each cable car 30 minutes per trip.

 Note: 1 feet = 12 inches

       1 metre = 39,37 inches

Use the information above to answer questions that follows.

4.1    Calculate the height (to the nearest metre) of the mountain.                        (4)

4.2    The operator states that each cable car makes more than 15 trips in a day.

       Verify, using calculations, whether the operator’s statement is correct.            (5)

4.3    If the ratio of adults to children per ride is 8:5, calculate number of adults
       per cable car carrying the maximum capacity.                                        (3)

4.4
         The rates for riding in a cable car are given as follows:

         Adults: 7,6 $

         Children below 14 years: 4,8 $

         Note: R1 = 0,080 $

       The cashier claims that each cable car carrying a maximum capacity gives
       a company R5 300 per trip.

       Verify, using calculations, whether the cashier’s claim is valid.               (4)
                                                                                      [16]
                                                                            TOTAL MARK: 75

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MATHEMATICAL LITERACY/P2                                                      NW/JUNE 2018
                                          GRADE 11
ANNEXURE A

QUESTION 2.3

      LEBALLO FINANCIAL ASSISTANCE

      Personal loan repayment table

       Loan                 MONTHLY PAYMENT FOR DIFFERENT PERIODS
       amount           12 months 24 months  36 months 48 months 60 months
       R4 000           R936,43    R519,28   R384,42   R315,60   R276,76
       R10 000          R1 872,85  R1 038,55 R764,84   R613,21   R553,52
       R20 000          R2 809, 28 R1 557,83 R1 147,27 R996,81   R830,27
       R30 000          R3 745,70  R2 077,10 R1 529,69 R1 262,42 R1 107,03

      The amounts shown above are approximates and will vary according to interest rate
      fluctuations.

      Note:

             Interest rate used to calculate amounts provided in the above table is 21% per
              annum
             The monthly payment excludes the monthly service fee of R75,00 and a
              monthly balance protection insurance fee of R20,50.
             A once-off initiation fee of R350,00 is payable for new loans.

                 Demo
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MATHEMATICAL LITERACY/P2                                 NW/JUNE 2018
                                          GRADE 11
ANNEXURE B

QUESTION 3

A MAP OF SOUTH AFRICA SHOWING THE NATIONAL ROADS
     0          300 km

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MATHEMATICAL LITERACY/P2                                                                      NW/JUNE 2018
                                                              GRADE 11

ANSWER SHEET

QUESTION 1.2

NAME OF LEARNER:________________________________                                           CLASS:________

                                    _____________________________________
                      700

                      650

                      600

                      550

                      500

                      450

                      400

     Amount in rand
                      350

                      300

                      250

                      200

                      150

                      100

                      50

                       0
                            0           50            100         150          200   250      300      350
                                                                   Distance in km

                                 Demo
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