GRADE 12 MLPAPER 1Page 1 of 18

MATHEMATICAL LITERACY: Preliminary Examination Paper 1 2016

Time: 3 Hours150Marks

Read the following instructions carefully:

1.1.This question paper consists of 18pages(including AppendixA, B and C)and 4Questions. Please check that your question paper is complete.

1.2.Read the questions carefully.

1.3.Number your answers exactly as the questions are numbered.

1.4.All the necessary working details must be clearly shown.

1.5.Approved non-programmable calculators may be used unless otherwise stated.

1.6.Answers should be rounded off to two decimal digits where necessary, unless otherwise stated.

1.7.It is in your own interest to write legibly and to present your work neatly.

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Question 1: Finances

1.1.Appendix A shows the Income and Expenditure Statement for Stellenbosch University (US) in 2013/14. Study the table and answer the following questions:

  1. Give the full amount for the following:
  2. The total income in 2013
  3. Staff costs in 2014(4)
  4. Write the total expenditure in 2014 (R 3903621000) in words.(3)
  5. What word in the statement informs us that the US is making a profit?(2)
  6. The profit is divided between two parties, namely, “Attributable to holder” and “Attributable to non-controlling interests”. What percentage of the profit in 2014 goes to the holder? Show all working. (3)
  7. The US will issue its employees with an IRP5 form. What will the employees use this form for? (2)

1.2.Camille wants to borrow R 120000 from the bank to start up a Hoodies business for US. She has a loan repayment of R 2200 per month. Answer the following questions:

  1. The bank requires a 15% deposit. Calculate the deposit amount.(2)
  2. Use the deposit to show that the loan amount is R 102000.(2)
  3. Use the Factor Values table below to determine the factor for a 5 year loan at an interest rate of 11,5%.

Loan Period / Interest Rate
11% / 11,5% / 12%
5 Years / 21,74 / 21,99 / 22,24
15 Years / 11,37 / 11,68 / 12
20 Years / 10,32 / 10,66 / 11,01
25 Years / 9,8 / 10,17 / 10,53

(2)

  1. How many monthly repayments will Camille make if she pays back the loan over 5 years? (2)
  2. Is R 2200 a sufficient amount to pay off the loan over 5 years? Yes/No.(2)
  3. Camille considered an alternate bank which offered her an interest rate of 12%. Given all else remains constant, you would expect the loan length to (Choose one of the options below):

A)Increase B) Decrease C) Stay the same D) Impossible to say(2)

1.3.Camille supplies the US “Maties” clothing shop with Hoodies which she makes in her workroom. She has the following monthly budget:

  1. State one major difference between production costs and operating costs.(2)
  2. How many sizes of hoodies are offered to the US “Maties” clothing shop?(2)
  3. How much did Camille budget for Transport?(2)
  4. What is the financial situation of Camille’s business?(2)
  5. Camille plans to produce and sell all 485 hoodies. Calculate the minimum selling price of a hoodie for the business to break even. (3)
  1. Camille imports fabric from two sources depending on the exchange rate.Use the exchange rate table to show by calculation that it is currently cheaper to buy from China.
  • Option 1: China (¥ 21 / meter)
  • Option 2: India (₹ 12 / meter)

Rand per unit foreign currency
India (Indian Rupee, ₹) / 4,6962 / China (Chinese Yaun, ¥) / 2,14752

(4)

  1. Due to inflation, it is expected that the total operating costs will increase by 8% and total production costs will increase by 7%. Show that Camille will be able to sell 485 hoodies at R 240 each and make a profit. (6)

1.4.It would be wise for Camille to start thinking of a retirement annuity. Study the graph below and answer the questions that follow:

  1. How many months would Camille invest into the retirement annuity?(2)
  2. Why does the solid line grow faster than the dotted line?(2)
  3. Use the graph to determine the difference in the closing balance between the two investments after the full term of investment. (3)

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Question 2: Measurement

2.1.Camille’s workroom in the ‘Hoodies’ factory requires a concrete workbench with the following design:

  1. What is the radius of the concrete legs of the table?(2)
  2. If a worker needs at least 1 m2 space to work, would it be possible for 3 people to work at this workbench simultaneously (at the same time)? (2)

The instructions on how to mix concrete is shown below. Answer the questions that follow:

  1. List the materials required to make concrete.(2)
  2. How many cement bags are required to produce 1 m3 of concrete?(2)
  3. The total volume of concrete required to make the workbench is 0,38 m3. What is the minimum volume of sand required for the concrete mix? (2)
  4. Use the ratios given to calculate the volume of sand in 4 wheelbarrows.(2)
  5. Would a worker use approximately 4 wheelbarrows of sand to mix concrete for the workbench? Yes/No. (2)

2.2.Camille imports fabric from India via ship (Ship A) using a website called The website gives you the following information:

  1. What is the name of the departure city in India?(2)
  2. If the fabric leaves the departure city on 16 September 2016, what is the last possible date for the Fabric to arrive in Cape Town? (2)
  3. Give one possible reason for origin/destination charges.(2)
  1. Below is routing details of a shipment from India (Ship B). Name one location onship B’s route not included in ship A’s route.

(2)

2.3.Appendix B shows the BMI-for-age growth chart for boys. Use the chart and the Weight Status Classifications table below to answer the questions that follow:

Weight Status Classifications
Weight Status / Percentile Range Position on the Growth Chart
Underweight / Less than the 5th percentile
Healthy Weight / ≥ 5th percentile and < 85th percentile
At risk of Overweight / ≥ 85th percentile and < 95th percentile
Overweight / ≥ 95th percentile
  1. Between what ages does a boy need to be to make use of the BMI-for-age chart?(2)
  2. Timothy is 9 years old and has a BMI of 21,2 kg/m2. What is Timothy’s weight status? (2)
  3. An adult dosage of Medicine A is 15 ml. If Timothy was born on 29August2007, use Young’s rule to calculate Timothy’s dosage of MedicineA.

(2)

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Question 3: Maps & Plans

3.1.Camille would like to go visit Fabric Production Plant in India before she starts importing fabric from the company. Use the Railway Timetable in Appendix B to answer the questions below:

  1. On what date does the Summer Special Train start, departing from LokmanyaTilakStation? (2)
  2. Give the number of the train that travels from Satna to Katni.(2)
  3. The train departs from Manmad at 18:48 and arrives at Varanasi at 14:42. How many hours and minutes is the trip? (3)
  4. Give the shortest waiting time between Arrival and Departure (e.g. at the smaller stations wherevery few passengers enter and exit the train). (2)
  5. The co-ordinates for LokmanyaTilak and Muzaffarpur are given below. Complete the sentence that follows by selecting the correct word in each case.

City / Latitude / Longitude
LokmanyaTilak / 19.0695° N / 72.8920° E
Muzaffarpur / 26.1209° N / 85.3647° E

LokmanyaTilak is situated i) North/South of Muzaffarpur. LokmanyaTilak is situated ii) East / West of Muzaffarpur. (4)

3.2.Camille has the following workroom for the making of your Hoodies:

  1. How many bathrooms are there in the workroom (excluding the foyer area)?(2)
  2. What detail on the plan tells you that the workroom is not the only room in the building? (2)
  3. Measure the length of the perimeter of the workroom excluding the balcony, foyer and staircase. Write your answer in centimeters. (2)
  4. If this plan is drawn to a scale of 1:60, calculate the perimeter of the workroom excluding the balcony, foyer and staircase. Write your answer in meters. (2)
  5. If one had to draw the west elevation of the room, how many windows will be seen?(2)

3.3.The hoodies can come in 2 colours (red and navy) and can be made in 3 styles:

  • Normal Style (N)
  • Hoodless Style (H)
  • Zip Pocket Style (Z)
  • Draw a 2-way tableshowing all the available combinations of colours and styles.(3)
  • Now state how many combinations colours and styles are available. (2)

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Question 4:Data Handling

4.1.A recent study (August 2015)was carried out on 2 400 registered voters for the municipal elections. The 2400 adults form a sample of the wider population of registered voters (26333353 people)The research produced the following key findings:

  1. What percentage does the sample form of the wider population of registered voters? Round your answer off to 4 decimal places. (3)
  2. Name two characteristicsthat a person,who took part in this study by answering the questionnaire, would have(e.g. the person is at least 18 years old). (4)
  3. Read through Key Finding no. 5. Write a question and answer options for a questionnaire to the public that would provide this type of information. (4)
  4. Read through Key Finding no. 6. If you had to gather any 10 South African registered voters, will it always be so that 6 persons will disapprove of the way their local government councillors did their jobs over the previous 12 months? Yes/No. (2)

4.2.The following data was collected after the provincial elections in 2014. Use the table to answer the questions:

  1. List the three political parties used in this study.(2)
  2. What percentage of votes did the DA win in Nelson Mandela Bay in 2009?(2)
  3. Show how an absolute gain/loss of -10,07% for the ANC in the city of Johannesburg was calculated. (2)
  4. Which political party gained the most number of votes in the city of Johannesburg?(2)

4.3.At one voting station 19 people came to vote between 07:00 and 08:00. The voters had the following ages:

42 / 28 / 20 / 65 / 49 / 30 / 49
31 / 51 / 19 / 28 / 46 / 54
57 / 32 / 37 / 30 / 61 / 30
  1. How old is the youngest person that voted out of the 19 people?(2)
  2. Arrange the ages in ascending order.(2)
  3. What is the modal age of the 19 voters?(2)
  4. What is the range of ages of the 19 voters?(2)
  5. What is the probability that if you had to pick one of the 19 voters at random, that the voter will be older than 50 years? (2)
  6. One of the reporters said the following: It is likely to be an election that will be a giant leap towards a more democratic South Africa. What percentage value would you use to describe to the word “likely”? (2)

4.4.Below shows a chart of the annual household income of South Africans.

(Note: R 10k = R 10000 and R 1.2M = R 1,2 million).

  1. Which income bracket forms the largest percentage of South Africans? (2)
  2. Jacob Zuma’s annual salary is R 4067 965,00. In which salary category does he fall into? (2)
  3. Fill in gap and show your working:

If you earned an annual salary between R 150000 and R 300000, you would fall in the top ______percentile of South Africans. (3)

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TOTAL FOR THIS PAPER: [150]

APPENDIX A: Question 1.1


APPENDIX B: Question 2.3.

APPENDIX C: Question 3.1.