GRADE 12 ML PAPER 1 Page 1 of 18

MATHEMATICAL LITERACY: Preliminary Examination Paper 1 2016

Time: 3 Hours 150 Marks

Read the following instructions carefully:

1.1. This question paper consists of 18 pages (including Appendix A, B and C) and 4 Questions. 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:

a. Give the full amount for the following:

i. The total income in 2013

ii. Staff costs in 2014 (4)

b. Write the total expenditure in 2014 (R 3 903 621 000) in words. (3)

c. What word in the statement informs us that the US is making a profit? (2)

d. 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)

e. 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 120 000 from the bank to start up a Hoodies business for

US. She has a loan repayment of R 2 200 per month. Answer the following questions:

a. The bank requires a 15% deposit. Calculate the deposit amount.

b. Use the deposit to show that the loan amount is R 102 000.

c. 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 Rate11% 11,5% 12%

5 Years 21,74 21,99 22,2415 Years 11,37 11,68 1220 Years 10,32 10,66 11,0125 Years 9,8 10,17 10,53

d. How many monthly repayments will Camille make if she pays back the loan

over 5 years?

e. Is R 2 200 a sufficient amount to pay off the loan over 5 years? Yes/No.

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f. 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

1.3. Camille supplies the US “Maties” clothing shop with Hoodies which she makes in her

workroom. She has the following monthly budget:

Staff 40 000.00R Fabric 45 590.00R Electricity 1 800.00R String 388.00R Water 600.00R Thread 717.40R Telephone & Internet 1 400.00R Packaging 97.00R Transport 2 500.00R Start-Up Loan Repayment 2 200.00R

Total Operating Costs 48 500.00R Total Production Costs 46 792.40R

TOTAL EXPENDITURE 95 292.40R

Hoodies XS 17 250.00R S 17 250.00R M 23 000.00R L 25 000.00R XL 18 750.00R XXL 15 000.00R

TOTAL INCOME 116 250.00R NET BALANCE 20 957.60R

EXPENDITURE

INCOME

Operating Costs Production Costs

Maties Hoodies BUDGET 2017

a. State one major difference between production costs and operating costs.

b. How many sizes of hoodies are offered to the US “Maties” clothing shop?

c. How much did Camille budget for Transport?

d. What is the financial situation of Camille’s business?

e. Camille plans to produce and sell all 485 hoodies. Calculate the minimum

selling price of a hoodie for the business to break even.

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f. 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 currencyIndia (Indian Rupee, )₹ 4,6962 China (Chinese Yaun, ¥) 2,14752

g. 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.

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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:

0 120 240 360 480R 0.00

R 200,000.00

R 400,000.00

R 600,000.00

R 800,000.00

R 1,000,000.00

R 1,200,000.00

R 1,400,000.00

R 1,600,000.00

R 1,800,000.00

R 2,000,000.00

R 2,200,000.00Retirement Annuity

R 500 p.m.

R 750 p.m.

Months of Investment

Clo

sing

Bal

ance

a. How many months would Camille invest into the retirement annuity?

b. Why does the solid line grow faster than the dotted line?

c. Use the graph to determine the difference in the closing balance between the

two investments after the full term of investment.

[54]

i.

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Question 2 : Measurement2.1. Camille’s workroom in the ‘Hoodies’ factory requires a concrete workbench with the

following design:

a. What is the radius of the concrete legs of the table?

b. 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)?

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

c. List the materials required to make concrete.

d. How many cement bags are required to produce 1 m3 of concrete?

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e. 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?

f. Use the ratios given to calculate the volume of sand in 4 wheelbarrows.

g. Would a worker use approximately 4 wheelbarrows of sand to mix concrete

for the workbench? Yes/No.

2.2. Camille imports fabric from India via ship (Ship A) using a website called

www.searates.com. The website gives you the following information:

a. What is the name of the departure city in India?

b. 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?

c. Give one possible reason for origin/destination charges.

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d. Below is routing details of a shipment from India (Ship B). Name one

location on ship B’s route not included in ship A’s route.

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 ClassificationsWeight Status Percentile Range Position on the Growth ChartUnderweight Less than the 5th percentile

Healthy Weight ≥ 5th percentile and < 85th percentileAt risk of Overweight ≥ 85th percentile and < 95th percentile

Overweight ≥ 95th percentile

a. Between what ages does a boy need to be to make use of the BMI-for-age

chart?

b. Timothy is 9 years old and has a BMI of 21,2 kg/m2. What is Timothy’s

weight status?

c. An adult dosage of Medicine A is 15 ml. If Timothy was born on

29 August 2007, use Young’s rule to calculate Timothy’s dosage of

Medicine A.

Young ' smedicine dosage= chil d ' s age( years)chil d ' sage+12

× adult ' smedicine dosage

[28]

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Question 3 : Maps & Plans3.1. 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:

a. On what date does the Summer Special Train start, departing from Lokmanya

Tilak Station? (2)

b. Give the number of the train that travels from Satna to Katni. (2)

c. The train departs from Manmad at 18:48 and arrives at Varanasi at 14:42. How

many hours and minutes is the trip? (3)

d. Give the shortest waiting time between Arrival and Departure (e.g. at the smaller

stations where very few passengers enter and exit the train). (2)

e. The co-ordinates for Lokmanya Tilak and Muzaffarpur are given below.

Complete the sentence that follows by selecting the correct word in each case.

City Latitude Longitude

Lokmanya Tilak 19.0695° N 72.8920° E

Muzaffarpur 26.1209° N 85.3647° E

Lokmanya Tilak is situated i) North / South of Muzaffarpur. Lokmanya Tilak is

situated ii) East / West of Muzaffarpur. (4)

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

a. How many bathrooms are there in the workroom (excluding the foyer area)? (2)

b. What detail on the plan tells you that the workroom is not the only room in the

building? (2)

c. Measure the length of the perimeter of the workroom excluding the balcony, foyer

and staircase. Write your answer in centimeters. (2)

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d. 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)

e. 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)

a. Draw a 2-way table showing all the available combinations of colours and styles.

(3)

b. Now state how many combinations colours and styles are available. (2)

[28]

GRADE 12 ML PAPER 1 Page 12 of 18

Question 4 : Data Handling4.1. A recent study (August 2015) was carried out on 2 400 registered voters for the

municipal elections. The 2 400 adults form a sample of the wider population of

registered voters (26 333 353 people) The research produced the following key

findings:

a. What percentage does the sample form of the wider population of registered

voters? Round your answer off to 4 decimal places. (3)

b. Name two characteristics that 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)

c. 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)

d. 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)

1. One in four South Africans (24%) say they attended a campaign rally in the last national election in 2014.

2. Less than half of South Africans believe that elections ensure that their views are represented (44%) or

enable them to remove non-performing leaders from office (36%). Both measures have decreased from

previous surveys.

3. Seven in 10 respondents (72%) say that elections in South Africa are “completely free and fair” or “free

and fair, but with minor problems.” Two-thirds say that elections guarantee they have genuine choices

(68%) and that votes are “often” or “always” counted fairly (66%).

4. Less than one in six South Africans say that elections are “always” or “often” marred by opposition parties

being prevented from running (16%) or voters being threatened (13%).

5. In a hypothetical national election in August-September 2015, 48% of respondents say they would vote for

the ANC and 32% for opposition parties.

6. Six of 10 South Africans (61%) disapprove of the way their local government councillors did their jobs over

the previous 12 months.

7. Support for the idea that it is voters’ responsibility to make sure that councillors do their job is still a

minority view (28%) but has doubled since 2008.

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4.2. The following data was collected after the provincial elections in 2014. Use the table

to answer the questions:

a. List the three political parties used in this study. (2)

b. What percentage of votes did the DA win in Nelson Mandela Bay in 2009? (2)

c. Show how an absolute gain/loss of -10,07% for the ANC in the city of

Johannesburg was calculated. (2)

d. Which political party gained the most number of votes in the city of

Johannesburg? (2)

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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 4931 51 19 28 46 5457 32 37 30 61 30

a. How old is the youngest person that voted out of the 19 people? (2)

b. Arrange the ages in ascending order. (2)

c. What is the modal age of the 19 voters? (2)

d. What is the range of ages of the 19 voters? (2)

e. 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)

f. 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)

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

(Note: R 10k = R 10 000 and R 1.2M = R 1,2 million).

a. Which income bracket forms the largest percentage of South Africans? (2)

b. Jacob Zuma’s annual salary is R 4 067 965,00. In which salary category does he

fall into? (2)

c. Fill in gap and show your working:

If you earned an annual salary between R 150 000 and R 300 000, you would fall

in the top ______ percentile of South Africans. (3)

[40]

TOTAL FOR THIS PAPER: [150]

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APPENDIX A : Question 1.1

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APPENDIX B: Question 2.3.

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APPENDIX C: Question 3.1.