MATHEMATICAL LITERACY
PAPER 2
GRADE 12 
AMENDED SENIOR CERTIFICATE EXAMS
PAST PAPERS AND MEMOS
MAY/JUNE 2018

INSTRUCTIONS AND INFORMATION

1. This question paper consists of FOUR questions. Answer ALL the questions.
2. Use the ANNEXURES in the ADDENDUM to answer the following questions:
   • ANNEXURE A for QUESTION 3.2
   • ANNEXURE B for QUESTION 3.3.1
   • ANNEXURE C for QUESTION 3.3.3
   • ANNEXURE D for QUESTION 4.1
   • ANNEXURE E for QUESTION 4.3
3. Number the answers correctly according to the numbering system used in this question paper.
4. Start 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.

QUESTIONS 

QUESTION 1
1.1 

Use the information above to answer the questions that follow.
1.1.1 Determine the missing values A and B. (4)
1.1.2 Each school must have ONE teacher who invigilates the writing of the olympiad. Calculate the number of schools that entered the olympiad if a total of 32 712 people were involved on the day the olympiad was written. (3)
1.2

Use the information above to answer the questions that follow.
1.2.1 Calculate Matuli's median percentage mark.  (4)
1.2.2 Calculate Bianca's mean percentage mark (3)
1.2.3 The box and whisker diagram below represents the spread of Khotso's percentage marks.

Determine the missing value C, the lower quartile mark, if Khotso's interquartile range (IQR) is 16.
The following formula may be used:
IQR = Upper quartile — Lower quartile      (3)
1.2.4 Bianca stated that Matuli performed better than she did in the practice tests. Give TWO possible reasons to support Bianca's statement.   (4)
1.3 

Use the information above to answer the questions that follow.
1.3.1 Vijay stated that the probability (as a percentage) of randomly choosing an Indian student that received an award out of the total number of students was less than 0,004%. Determine, showing ALL calculations, if his statement is correct. (5)
1.3.2 Determine the difference     (in South African rand) between the amounts received for 1St position and 3rd position. (5)
1.3.3 Currently bank notes in India are issued in the following denominations:

Rs10;  Rs20;  Rs50;  Rs100;  Rs200;  Rs500;  Rs2 000

Vijay bought a tablet worth Rs2 440. He paid for it with TWO Rs2 000 bank notes. He stated that he would receive a minimum of 6 bank notes as change. Verify whether his statement is valid.    (4) [35]

QUESTION 2
2.1 

Use the information above to answer the questions that follow.
2.1.1  Zanele enters the garage through the side door. Determine on which side of Zanele the garage door will be found. (2)
2.1.2  On a scaled drawing of the garage, the width is 140 mm.
Determine:

1. The scale of the drawing   (3)
2. The length (in cm) of the garage on the scaled drawing (3)

2.1.3 Determine the total area (in mm2) of the openings (unbricked sections) of the garage walls.  (6)
2.1.4 Calculate the number of brick pallets needed to build this garage if the total area of the bricked section of the garage is 41 410 000 mm`.   (6)
2.1.5 Japie states that the bricks, doors and window will cost him approximately R12 500.  Verify     (showing  ALL  calculations)  whether his statement is valid.  (4)
2.1.6         Japie borrowed R35 000 from an uncle to complete the building of the garage. The terms for the loan were to repay the full amount including simple interest at a rate of 8% per annum after 7 months. Calculate how much he must pay back 7 months after the loan was granted. The following formula may be used:
Simple interest = principal amount x interest rate x time in years    (3)
2.2 

2.2.1 Calculate how much lower (in mm) the gutter will be at the end where the downspout is, in other words calculate D in DIAGRAM 2.    (6)
2.2.2  Calculate the capacity      (in litres) of a cylindrical water tank with a diameter of 80 cm and a height of 1,2 m.
The following formula may be used:
Volume of a cylinder = ir x (radius)2 x height using 2t = 3,142   (5) [38]

QUESTION 3
3.1. 

Use the information above to answer the questions that follow.
3.1.1 When the revenue of the local government sector was compared to the provincial government sector in 2013/14, it was found to be 20,12% of the provincial sector. Calculate the missing value E, the total revenue for the period 2013/14.   (4)
3.1.2 Determine  the  percentage  by  which  the  revenue  for the national government sector increased during the period 2014/15 to 2015/16.  (3)
3.1.3 Explain why the national government sector received more revenue than the other sectors.     (2)
3.1.4 Calculate the revenue allocated to the local government sector for the period 2017/18 if the distribution of revenue among the different sectors was done according to the following ratio:

Local : Provincial : National = 1 : 4,784 : 5,246      (4)

3.2 One of the major sources of revenue for the government is personal income tax. The tax table for 2017/2018 is given on ANNEXURE A. Landy,  a 57-year-old  lady,  received  an average monthly taxable income of R46 308,50 for the 2017/2018 tax year and she is not a member of a medical aid scheme. Determine how much tax Landy has to pay every month.  (7)
3.3

Use the information above and ANNEXURE B to answer the questions that follow.
3.3.1 Determine how many complete boxes can be cut from ONE sheet of plywood.   (2)
3.3.2 Verify, showing ALL calculations, whether 687 sheets of plywood will be enough to make 2 750 boxes.   (3)
3.3.3 Landy employed a carpenter (a person who works with wood) to make the 2 750 boxes for her. Her total cost for the manufacture of the boxes consisted of fixed costs (labour) plus variable costs (plywood, varnish, screws and glue). She drew income and total cost graphs, as shown on ANNEXURE C. ANNEXURE C shows the projected income and total cost for only 2 000 boxes.

1. Calculate the income amount per box. (3)
2. Estimate the number of boxes required to break even. (2)
3. Landy projected the total profit from ALL the boxes to be R367 500. (8)  [38]
   Verify if her projection is valid.

QUESTION 4
4.1

Use the information above and ANNEXURE D to answer the questions that follow.
4.1.1   Give TWO possible reasons why there are specific times for the gates to open and close.  (4)
4.1.2 Ludwe enters the Park through the gate located northwest of Crocodile Bridge, which has no camp. He travels in as easterly direction until he finally reaches the first camp. Write down Ludwe's final destination.    (2)
4.1.3 Show (by calculation) that the distance shown on the distance table from  Orpen to Lower Sabie, is the route via Satara.    (3)
4.1.4 Determine the difference in the number of main camps and other camps on this part of the map.   (2)
4.1.5 Ludwe left Skukuza at 17:03 and had to be out of the park through the Malelane Gate before 18:30 the same day. The distance on the gravel road is the same as the distance on the tarred road. Calculate at what time he would reach the Malelane Gate if he used the gravel road.
The following formula may be used:
Distance = speed X time    (6)
4.1.6 Give a possible reason why most people visiting the park prefer to travel on the gravel roads than on the tarred roads.    (2)
4.2 

Determine the probability of randomly selecting the following:
4.2.1  An Indian employee from the SANP employees   (2)
4.2.2  A Coloured employee from the total employment level B employees   (3)
4.3  

Use ANNEXURE E to answer the questions that follow.
4.3.1 Calculate the difference between the average daily rates in Jimbaran and Kula during 2010.  (3)
4.3.2 The average daily rate in Kula remained almost the same from 2011 to 2014. Explain your observations regarding the percentage occupancy in Kula during the same period.   (4)
4.3.3 Compare the relationship between the average daily rates and the percentage occupancy in Ubud for the year to date (YTD) Sep. 2014 to YTD Sep 2015.   (4)
4.3.4  Explain  why  both  graphs  have  a  gap  between  2014  and  YTD September 2014.   (4) [39]

TOTAL:  150