COMMON PAPER CAPE WINELANDS EDUCATION …

1 MARKS: 150 TIME : 3 hours This question PAPER consists of 12 pages and 3 Annexures. GRADE 12 ADE 12 2015 SEPTEMBER EXAMINATION MATHEMATICAL LITERACY PAPER 2 PAPER 1 COMMON PAPER CAPE WINELANDS EDUCATION DISTRICT Grade 12 Mathematical Literacy PAPER 2 September 2015 2 INSTRUCTIONS AND INFORMATION : 1. This question PAPER consists of FIVE questions. Answer ALL the questions. 2. Number the answers correctly according to the numbering system used in this question PAPER . 3. Start EACH question on a NEW page.

2 4. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 5. Show ALL the calculations clearly. 6. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 7. Indicate units of measurement, where applicable. 8. Write neatly and legibly. Grade 12 Mathematical Literacy PAPER 2 September 2015 3 QUESTION 1 The Western Cape is the fourth largest of the nine provinces of South Africa. It has an land area of 49 983,56 square miles and a population of 5,8 million people.

3 About two-thirds of the people in the Western Cape live in Cape Town and the surrounding areas. The rest live in rural parts of the province. The map of the province is shown below. Use the map and the given information to answer the following questions. Write down the name of the MOST eastern town shown on the map. (2) Use a ruler to measure the direct map distance (as the crow flies) from Hermanus to Oudtshoorn. Give your answer in millimeter. (2) Use the scale on the map to calculate the actual distance in kilometres between Hermanus and Oudtshoorn.

4 (4) Determine the ratio, in simplest form, of people living in Cape Town and the surrounding areas to those living in rural areas. (3) Convert the land area of the Western Cape to the nearest km2 if 1 km = 0, 62139 miles. (3) Calculate the population density of the Western Cape in people/km2. The formula may be used: Population density = areapopulation (3) SOUTH AFRICA N Grade 12 Mathematical Literacy PAPER 2 September 2015 4 To transport people to the top of the table mountain TWO cable cars are used.

5 The following information can be used: Each of the cable cars can carry 65 people. Each cable car travels at a maximum speed of 10 m/second. It takes the cable car 5 minutes to reach the top of the mountain. A cable car goes to the top of the mountain every 9 minutes. The maximum weight of passengers a cable car can carry is 5 200 kg. You are 338th in the line that awaits to go to the top of the mountain. At what time will you reach the top if the first group in the line boards the cable car at 08:27?

6 (6) Calculate the distance in meters travelled by a cable car to transport people to the top of the mountain. The formula may be used : Average speed = timedistance (4) Calculate the maximum average (mean) weight in kg of the passengers if the maximum number of passengers is transported in the cable car. (3) Use the following rates for the cable car to answer the question that follows: Rates for Cable Car: Rates (in South African Rand) are valid from 1 October 2014 to 30 September 2015: Ticket Type Return One way Adult 225 115 Child 4 -17 years 110 58 SA senior citizen (Fridays only at ticket office) 95 50 Students (Fridays only at ticket office) 130 68 A family( father, mother, student son and two children, 16 years and 10 years) decide to visit table mountain on a Friday.

7 They decide to walk up to the top and come down by cable car so that they can save money. How much money do they save? (5) [35] Grade 12 Mathematical Literacy PAPER 2 September 2015 5 QUESTION 2 Monthly petrol prices (in cents per litre) in South Africa for the period 2013 2014 are given on the table in ANNEXURE A. On the same annexure a graph shows the monthly prices in US Dollars per barrel of Brent crude oil in 2014. (1$ = R12,80) Use the information on ANNEXURE A to answer the following questions.

8 Give the price of 93 LRP petrol of the inland region on 6 March 2013 in South African Rand (ZAR). (2) Determine the maximum price of a barrel of Brent crude oil, in Rand, in February 2014. (3) If the maximum price of 95 LRP increased by between January and August 2013, calculate the value of X on the ANNEXURE A. (3) Describe any TWO trends between the price of Brent crude oil and that of 95 LRP at the coast, for the period January to August 2014. (4) This is an extract from a newspaper article on 28 August 2014: The price of Brent crude oil in August was down with 8 percent compared to June.

9 Use the information in this extract and ANNEXURE A to answer the following questions: Write down (in US dollars): (a) The maximum price of Brent crude oil in June 2014 (2) (b) The minimum price of Brent crude oil in August 2014. (2) Is the newspaper article statement correct? Justify your answer showing ALL necessary calculations. (4) Grade 12 Mathematical Literacy PAPER 2 September 2015 6 A cylindrical barrel (drum) contains 42 gallons of oil. The diameter of this barrel is 18 inches.

10 You may use the following information: 1 gallon = 3,78541 litres 1 inch = 2,54 cm 1 ml = 1 cm3 Volume = r2 h, let = 3,142 Area of a circle = r2 Surface area of cylinder with a closed lid and base = (2 r2) + (2 r h) Determine the radius of a barrel (drum) in centimetres. (3) Show, by calculations, that the height of the barrel of oil is 96,82 cm. (5) Calculate the surface area of this barrel in m2. (5) [31] PICTURE OF A BARREL/DRUM: Grade 12 Mathematical Literacy PAPER 2 September 2015 7 QUESTION 3 Ms Qongqo works for the Department of EDUCATION in the Western Cape.