MATHEMATICAL LITERACY
PAPER 2
GRADE 12 
NSC EXAMS
PAST PAPERS AND MEMOS JUNE 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
   ANNEXURE B for QUESTION 2.1
   ANNEXURE C for QUESTION 3.1
   ANNEXURE D for QUESTION 4.1
   ANNEXURE E for QUESTION 4.2
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. 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 according to the given context, unless  stated otherwise. 
9. Start EACH question on a NEW page. 
10. Write neatly and legibly.

QUESTIONS

QUESTION 1 
1.1

1.1.1 With the necessary calculations, show how the amount overdue was  calculated. (2) 
1.1.2 Determine the probability of having a course with a study guide in both  semesters. Give your final answer as a decimal fraction rounded to two  decimal places. (3) 
1.1.3 Nancy claims that her tuition fees for EBUS 2715 are R1 000 more than her tuition fees for KOM 234. Show, with the necessary calculations, whether her  statement is valid or not. (6) 
1.1.4 Calculate the fee for registration as a percentage of the current amount. (3) 
1.2
1.2.1 Show, with the necessary calculations, that the difference in the mean  amounts for the tuition fees payable in Semester 1 and Semester 2 (excluding  study guide fees) is less than R500. (6) 
1.2.2 University fees for ALL courses have increased by 5% from the previous  year. Calculate the amount of tuition fees for ESBM 2724 in 2017. (3) [23]

QUESTION 2 
2.1 

2.1.1 When looking at the map, the distance between Vanrhynsdorp and  Garies, and the distance between Kamieskroon and Springbok seems equal. Show, by using calculations, whether it is correct or not. Give a  reason for your findings. (5) 
2.1.2 A family from Malmesbury will be attending a birthday party in  Calvinia. They leave Malmesbury at 7:00 and have breakfast for 45 minutes at a Wimpy (fast food restaurant) on their way. Determine at  what time they will arrive in Calvinia, if they travel at an average speed  of 95 km per hour. You may use the following formula: 

• Distance = Speed × Time (7) 

2.2 Invitation cards for the party are in a rectangular shape, with a circular photo of  the birthday girl in the middle of the invitation card and dimensions as shown below. 

2.2.1 Calculate the area of the invitation card without the photo. Give your  final answer to the nearest mm². 
You may use the following formulae: 

• Area of invitation card = length × width
• Area of photo = π × radius × radius (7) 

2.2.2 One of the guests buys a gift that is packaged in a rectangular box as shown  below. She must wrap the gift with gift wrapping paper.  

Dimensions of the box are: 

• Length = 390 cm
• Width = 270 cm
• Height = 300 cm 

Calculate the total area of the paper that is needed for wrapping the box in cm². You may use the formula:  

• Surface area of the gift box = 2(length × width + width × height + length × height) (4)

2.3 Three companies have their sales plotted as box and whisker charts as shown below. 

Use the box and whisker charts to answer the following question. 
With the use of calculations, compare and comment on the interquartile ranges and ranges  on the number of stocks sold by Company A and Company C respectively. (6) [29]

QUESTION 3 
3.1 The table in ANNEXURE C represents matches played by the 16 soccer teams in  the Premier Soccer League with their scores as on 5 December 2018. 
NOTE:

• For every win, a team gets 3 points. 
• For every draw, a team gets 1 point. 
• For a loss, a team gets 0 points. 

3.1.1 Calculate the missing values A and B respectively on the table. (4) 
3.1.2 Calculate the probability of choosing a team, which has won more than  six games from the teams that have played twelve or more games. (2) 
3.1.3 A player for Mamelodi Sundowns claims that out of the remaining  matches that they have to play, to get to the same number of matches as  already played by Orlando Pirates, and to have five points more than  Orlando Pirates, they must win two and draw one. Show, with the  necessary calculations, whether his statement is valid or not. (4) 
3.2
3.2.1 The Curriculum and Policy Statement (CAPS) document stipulates that  Mathematical Literacy needs to be taught for 4,5 hours during a 5-day  cycle.There are two schools: School A has 45 minute periods with 3 double periods and 2 single periods for Mathematical Literacy, while  School B has 30 minute periods with 4 double periods and 1 single  period per week. Show, with the necessary calculations, which school complies with the  CAPS document. (5) 
3.2.2 In one of the schools, a Mathematical Literacy teacher is giving  textbooks to her Grade 10, Grade 11 and Grade 12 classes in the  ratio 4 : 3 : 2. If she hands out 62 books to the Grade 12 class, determine how many  books she handed out altogether. (3) [18]

QUESTION 4 
4.1 ANNEXURE D represents a seating plan for an American Airbus plane.  Answer the questions below that are based on ANNEXURE D. 
4.1.1 Give a possible reason for a bigger space between row 8 and row 9. (2)
4.1.2 Determine the number of seats in the economy class. (3)
4.1.3 Mention ONE advantage of being a passenger in the first-class seats of the plane. (2) 
4.2 

4.2.1 A couple from America is planning to attend the 2019 Wimbledon tennis  championship tournament. They are planning to watch the quarterfinals as well as  the finals for both men and women. The couple claim that 30 000 American  dollars will be enough to watch all their planned matches. Show, with the  necessary calculations, whether their claim is valid or not. (8) 
4.2.2 The couple researched the ticket prices for 2007, as they were interested in the  effect of inflation. Show, with the necessary calculations, that the percentage  increase for ticket prices for the men’s finals from 2007 to 2019 is more than  40%. (4) 
4.2.3 The couple started saving three years ago for the 2019 tournament. They invested  20 000 American dollars at an institution offering 6,5% interest compounded  annually. Calculate the total in American dollars after 33 months. (5) 
4.2.4 Give a possible reason why the price of tickets for the men’s matches are more  expensive than the price of tickets for the women’s matches. (2) 
4.2.5 Describe the trend observed for the ticket costs of men’s matches during the tournament and give a possible reason for the trend. (4) [30] 

TOTAL: 100