MATHEMATICAL LITERACY
PAPER 2
GRADE 12  
NSC PAST PAPERS AND MEMOS
FEBRUARY/MARCH 2018

INSTRUCTIONS AND INFORMATION

1. This question paper consists of FOUR questions. Answer ALL the questions.
2.                                
   2.1 Use the ANNEXURES in the ADDENDUM to answer the following questions:
   • ANNEXURE A for QUESTION 1.2
   • ANNEXURE B for QUESTION 2.1
   • ANNEXURE C for QUESTION 3.3
   • ANNEXURE D for QUESTION 4.3
     2.2 Answer QUESTION 4.1.3 on the ANSWER SHEET attached.
     2.3 Write your centre number and examination number in the spaces on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK.
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 Calculate the total number of hours the Rand Show will be open to visitors for the full duration of the show. (3)
1.1.2 Calculate the amount of VAT payable on a teen's ticket. (3)
1.1.3 Determine the probability (in simplified form) of randomly selecting a Friday visit to the Rand Show. (3)
1.1.4 The family visited the Rand Show on 23 April 2017. Mrs Abrahams stated that if the family had visited the Rand Show on 20 April instead of 23 April, they would have saved more than 35% on the total cost of the tickets. Verify, showing ALL calculations, whether her statement is valid. (9)
1.2 

Use the information on ANNEXURE A to answer the questions that follow.
1.2.1 Identify the province with the second highest number of citizens receiving social grants. (2)
1.2.2 Give ONE reason why governments usually provide grants to some of their citizens. (2)
1.2.3 State, giving a reason, whether the data in ANNEXURE A could also easily be represented using a single pie chart. (3)
1.2.4 Calculate the percentage of citizens receiving social grants in Limpopo. (6)
1.2.5 Gauteng and the Western Cape are the only TWO provinces with more employed citizens than the number of citizens receiving social grants. Determine, using unit ratios, which ONE of these two provinces have more employed citizens than citizens receiving social grants. (6) [37]

QUESTION 2
2.1 ANNEXURE B shows the credit card statement of Mr Son.
Use the information in ANNEXURE B to answer the questions that follow.
2.1.1 Determine the number of days covered by this credit card statement. (2)
2.1.2 Use the transaction details and show, with calculations, how the closing balance was determined. (5)
2.1.3 Explain why the bank omitted some digits from the account number on the statement. (2)
2.1.4 The bank offers an insurance option on the outstanding balance of the credit card account by charging a rate of R3,50 per R1 000 (or part thereof) on the outstanding balance. Calculate how much Mr Son would have paid for insurance on the outstanding balance of this statement if he had chosen this option. (5)
2.1.5 Interpret the amount for balance brought forward for this statement. (2)
2.1.6 Give ONE possible reason why Mr Son might purchase goods using his credit card instead of paying cash for the goods. (2)
2.2 

Verify, showing ALL calculations, whether Mr Son left his home at exactly 11:40. The following formula may be used:
Distance = average speed x time (5)
2.3 

Use TABLE 2 above to answer the questions that follow.
2.3.1 Give ONE possible reason why there is no recorded revenue data for Japan. (2)
2.3.2 Calculate the number of book titles published for Brazil if the range of the number of book titles published is 463 223. (3)
2.3.3 Calculate the median number of book titles published. (4)
2.3.4 Determine the modal market value in euros (€). (2)
2.3.5 Determine the number of countries where the euro (€) is the local currency. (3)
2.3.6 Calculate, as a percentage, the probability of randomly selecting a country whose market value of the published book titles is more than 1 billion euro. (3) [40]

QUESTION 3
3.1

Determine, showing ALL calculations, whether 5 litres of the paint would be enough to spray paint 25 display boards. The following formula may be used: Area = length x width (10)
3.2

Verify, showing ALL calculations, whether cylinder B would require less material to make the decorative labels. 
The following formula may be used:
Curved surface area of cylinder = n x diameter x height, where it = 3,142 (7)
3.3

Related Items

Use ANNEXURE C to answer the questions that follow.
3.3.1 Give ONE practical reason why the information centre is situated in the middle. (2)
3.3.2 Determine the maximum number of higher education institutions from the USA that can exhibit at this fair. (3)
3.3.3 The organisers of the fair identified the most outstanding exhibition stand. Determine the probability that this outstanding exhibition stand will NOT be a stand from China. (3)
3.3.4 An electrician was called to attend to a technical issue at one of the exhibition stands. He followed the route listed below.

• He entered through one of the delivery entrances.
• He proceeded straight ahead passing the information centre on his left-hand side.
• He turned right between the last two rows of stands.
• He then continued straight ahead towards the last stand on his left-hand side to attend to the technical issue.

Identify the delivery entrance used by the electrician and the stand number with the technical issue. (4)
3.3.5 Identify which Chinese stand is closest to the information centre. (2)
3.3.6 Calculate, using measurement, the scale of the floor plan of the layout of the exhibition stands if the actual length of the rectangular information centre is 24,5 m. (5) [36]

QUESTION 4

Use the information above to answer the questions that follow.
4.1.1 The formula to calculate her total cost is as follows:
Total cost = R10 000 + R105 x (number of sportsware sets)

1. Show how the R105 in the formula above was determined. (3)
2. Calculate her total cost for 500 sets of sportsware. (2)

4.1.2 TABLE 3 below shows the relationship between the number of sets of sportsware sold and her total income for the sets.
TABLE 3: NUMBER OF SPORTSWARE SETS SOLD AND THE TOTAL INCOME (in thousand rand)

Determine the missing values A and B. (6)
4.1.3 Use TABLE 3 and the equation in QUESTION 4.1.1 above to draw TWO straight-line graphs representing the total cost and total income for up to 1 000 sets of sportswear.
Draw clearly labelled graphs on the grid provided on the ANSWER SHEET. (7)
4.1.4

1. Write down the number of sportsware sets that must be sold to break even and give the income at the break-even point. (2)
2. Determine exactly how many sets of sportsware must be sold to make a profit of R6 000. (3)

4.2

Determine, showing ALL calculations, which ONE of the two scales (1 : 3 or 1 : 4) should be used so that the set of sportsware fits on the A4 page. (6)
4.3

Use ANNEXURE D to answer the questions that follow.
4.3.1 Give ONE possible reason why some people prefer to buy goods over the Internet rather than in-store. (2)
4.3.2 Determine, with calculations, which goods have the same percentage difference between Internet and in-store purchases. (3)
4.3.3 Determine, with a reason, which ONE of the goods would rather be purchased in-store than over the Internet. (3)   [37]

TOTAL: 150

ANSWER SHEET 1 QUESTION 4.1.3
INCOME AND COST GRAPHS