MATHEMATICAL LITERACY
PAPER 2
GRADE 12 
NSC EXAMS
PAST PAPERS AND MEMOS NOVEMBER 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 3.1
   • ANNEXURE D for QUESTION 4.1
     2.2 Answer QUESTION 2.1.5 on the ANSWER SHEET attached. 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 thisquestion 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 Mapotjo plans to purchase a bakkie (motor vehicle). She received the followingquotation from a car dealer on 28 February 2018:
Extract of a quotation for a bakkie from a dealer:

[Source: Group 1 Nissan and The Glen]
Use the information above to answer the questions that follow.
1.1.1 Calculate (rounded off to ONE decimal place) the percentage discountgiven on the bakkie's selling price, excluding VAT. (3)
1.1.2 Show how the amount of R166 561,76 was calculated. (3)
1.1.3 Give ONE reason why customers would prefer to install the accessories(extras), as shown in the quotation. (2)
1.1.4 Mapotjo has an investment of R1,25 million. The money was invested as follows: 

• Twenty-seven (27) months investment period
•  6% interest per annum, compounded annually

Show whether the interest earned on this investment is sufficient to cover the total purchase price of R189 880,41. (9)
1.1.5 VAT in South Africa increased to 15% with effect from 1 April 2018.
The following shows how the dealer calculated the new increased VAT incorrectly:

• Selling price, including 14% VAT
  = R160 087,72 + 14% of R160 087,72
  = R160 087,72 + R22 412,28
  = R182 500
• VAT increased with 1%.
  New selling price, including 15% VAT = R182 500 + R182 500 x 1%
  = R182 500 + R1 825
  = R184 325

Identify the mistake the dealer has made in calculating the new selling price. Hence, calculate the new selling price, including 15% VAT (excluding accessories and other charges). (4)
1.2

 Use the information above and ANNEXURE A to answer the questions that follow.
1.2.1 The cargo bin does not have a flat surface area and therefore the surface area must be increased by 2% to accommodate the uneven surface area.

1. Calculate how many litres of rubberising paint Mapotjo needs to purchase in order to rubberise the cargo bin of her bakkie.
   You may use the formula:
   • Surface area of an open box
     = Width x length + 2(length x height + width x height)
2. Calculate the cost of applying TWO coats of rubberising paint (excluding labour) if a 5 f tin costs R549, including VAT.

1.2.2 Explain the significance of applying rubberising paint to the cargo bin of a bakkie.
1.3 It takes 20 minutes to apply a layer of rubberising paint. There is a 4-hour waiting period before the second coat of rubberising paint can be applied. In addition, a further drying time of 2 hours is required after the second coat has been applied.
Determine, with calculations, at what time the bakkie would be ready if the workshop started rubberising the cargo bin at 08:15. (4) [38]

QUESTION 2
2.1 TABLE 1 in ANNEXURE B shows data relating to the import of personal care and cosmetic products in Australia for the period 2013 to 2015.
Use the information in ANNEXURE B to answer the questions that follow.
2.1.1 Determine:

1. Missing value A (rounded off to a whole percentage) using the following formula:
   • % change (A) = 2015 imports -  2013 imports  x 100%  (4)
                                           2013 imports
2. The median of the percentage change for the period 2013 to 2015. (3)

2.1.2 Describe the trend in the imports of make-up and skincare products. (2)
2.1.3 The negative value of the percentage change does not necessarily imply that the import value of the products decreased continuously over the three-year period. Name TWO different products in TABLE 1 and explain how they support the statement above. (4)
2.1.4 State, with a reason, whether the data in TABLE 1 can be represented using a single pie chart. (2)
2.1.5 A line graph showing the % share of 2015 imports for the first eight products in TABLE 1 has been drawn on the ANSWER SHEET. On the same grid, draw another line graph representing the percentage change for the period 2013 to 2015 for the same eight products. (6)
2.2 Nomsa plans to visit Los Angeles for an educational conference. She will be travelling from her hotel to the conference venue with an Uber taxi.
An Uber taxi is operated using two options, as shown below.

• Option 1: UPFRONT fare
  = base fare (call-out fee) + (number of miles x per mile fare)
• Option 2: POST-TRIP fare
  = (number of minutes x per minute fare) + (number of miles x per mile fare)

TABLE 2 below shows the different Uber taxis and their respective rates in Los Angeles for both UPFRONT and POST-TRIP fare options, including an example of a 10-mile trip using the UPFRONT fare option.

[Adapted from www.uber.com, March 2016]
*Minimum fare: the lowest fare one would be charged per trip
Use the information above to answer the questions that follow.
2.2.1 Calculate the missing value B. (3)
2.2.2 Calculate (rounded off to the nearest mile) the maximum distance for which a person can use the UberX taxi if you pay the minimum upfront fare. (4)
2.2.3 Nomsa travelled a distance of 29,73 miles with UberBLACK. The post-trip fare option Was used and the trip took 1 hour and 9 minutes to complete. Nomsa stated that she would have saved more than $20,00 if she had used the upfront fare option. Show, with calculations, whether her statement is correct. (8)
2.2.4 Explain the importance of a cancellation fee for the Uber service provider. (2) [38]

QUESTION 3
3.1

Use the information above and ANNEXURE C to answer the questions that follow.
3.1.1 Determine (as a decimal fraction) the probability of a runner of the Big Five marathon route accessing a refreshment station that offers ONLY Coke and water. (3)
3.1.2 Give the general direction in which a marathon runner is heading when passing the 20 km mark. (2)
3.1.3 Consider the heights above sea level for this race.

Related Items

1. Explain why a runner was CORRECT when he stated that he was running uphill from the start to the 10 km mark. (2)
2. Express, in the form 1 : ..., the lowest possible height above sea level to the highest height above sea level. (3)

3.1.4 Explain why there are cut-off times for a marathon. (2)
3.1.5 For the half-marathon a runner must cover a distance of 16,5 km in a time of 5 hours from the start of the race to beat the cut-off 2 time for the half-marathon. A runner of the full marathon compared his speed with the speed of a half-marathon runner and stated that he had to run 2,7 km/h faster in order to beat the cut-off 2 time of the full marathon.
Verify, showing ALL calculations, whether he is CORRECT. You may use the formula:

• Distance = speed x time (6)

3.2 

Use theinformation and picture above to answer the questions that follow.
3.2.1 Determine the maximum height (in cm) of the water in the bucket if the outside diameter of the bucket is 31,2 cm.
You may use the formula:

• Volume of a cylinder = n x (radius)² x height
  where π = 3,142 and 1 f = 1 000 cm³ (7)

3.2.2 Buckets are placed on the pallet, as shown in the diagram above.

1. Calculate the unused area (in cm²) of the rectangular floor of the solid pallet.
   You may use the formula:
   • Area of a circle = 7 x (radius)², where π = 3,142 (6)
2. Determine length C, as shown in the diagram above. (3)

3.2.3 The organiser would have preferred each pallet to have 12 buckets arranged in three rows of four each, as shown in the diagram alongside.

Calculate the percentage by which the length of the pallet should be increased to accommodate this new arrangement. (5) [39]

QUESTION 4
4.1 ANNEXURE D shows photographs of the London Eye, which is a *Ferris wheel.
The following information represents features of the Ferris wheel:

• The structure is 443 feet tall.
• The radius of the wheel is 197 feet.
• It has 32 capsules that are spaced apart evenly.
• Each capsule can carry a maximum of 28 passengers.
• Ticket prices for all capsules are identical.

The following are the ticket prices per person:

 [Source: www.londoneye.com]

• Conversions: 1 pound (£) = R16,58
  1 metre = 3,28 feet

*Ferris wheel: a very large upright wheel with capsules on its circumference for people to ride in
Use the information above to answer the questions that follow.
4.1.1 Capsule 24 and capsule 30 have the following number of occupants.

Only 5 adults of the total number of occupants in the table above bought tickets online. A South African tourist at the London Eye remarked that more than R18 400 was spent on these tickets. Verify, with calculations, whether this remark is CORRECT. (8)
4.1.2 The capsules are mounted on the circumference of the wheel.

1. Calculate (in feet) the circumference of the wheel. 
   You may use the formula:
   • Circumference = 2 x π x radius, where π = 3,142 (2)
2. Hence, calculate the distance (to the nearest metre) on the circumference between any TWO capsules right next to each other. (3)

4.2 Tourism creates many employment opportunities in the United Kingdom. Tourists are most likely business visitors, holiday visitors or visitors to friends and relatives (VFR).
TABLE 3 below shows information regarding the number of visitors (in thousands) and the reasons for their visits. It also shows the number of employment opportunities for the different tourist regions.
TABLE 3: NUMBER OF VISITORS (IN THOUSANDS) AND THE REASONS FOR VISITS TO DIFFERENT TOURISM REGIONS IN THE UNITED KINGDOM AND OPPORTUNITIES

[Adapted from visitbritain.org/research]
Use the information above to answer the questions that follow.
4.2.1 Calculate the difference between the number of holiday visitors to the North West and the number to the West Midlands. (3)
4.2.2 Determine (as a percentage) the probability of randomly selecting a business visitor to the Midlands from the total business visitors. (4)
4.2.3 A visitor stated that there are more than 3 times more holiday visitors than business visitors to Scotland. Verify, with a calculation, whether this statement is valid. (3)
4.2.4 Calculate the interquartile range for VFR visitors. (5)
4.2.5 Give ONE other reason, besides employment opportunities, why tourism is important to a country. (2)
4.2.6 The mean direct employment in the United Kingdom is 162 666,5455. The North East employs 30 440 fewer people than Wales. Calculate the direct employment for the North East. (5) [35]

TOTAL: 150

ANSWER SHEET QUESTION 2.1.5
CENTRE NUMBER
EXAMINATION NUMBER
Percentage imports and average growth of personal care and cosmetic products in Australia