Mathematical Literacy P2 Feb March 2018 Eng hlayiso.com

— basic education Se ly y)\) Department: \ Mh): _ Basic Education O\“g REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 12 | (ep ientintteadeahaabraaipemieiieaieaienieahahagieaieg rabubeaat inland aainlinhaaaieniainmaiai mma, a" MATHEMATICAL LITERACY P2 ii il a a FEBRUARY/MARCH 2018 : See eee MARKS: 150 TIME: 3 hours This question paper consists of 10 pages, an addendum with 4 annexures and 1 answer sheet. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P2 2 DBE/Feb.—Mar. 2018 NSC 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 e ANNEXURE B for QUESTION 2.1 e ANNEXURE C for QUESTION 3.3 e 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. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P2 QUESTION 1 3 NSC DBE/Feb.—Mar. 2018 1.1 The Rand Show is an annual event held in Gauteng. The Abrahams family, consisting of two adults aged 45 and 48, two children aged 6 and 14 and a grandmother aged 73, planned to visit the Rand Show. TABLE 1 below shows the duration and ticket prices of the 2017 Rand Show. TABLE 1: DURATION AND TICKET PRICES OF THE 2017 RAND SHOW TICKET PRICING DURATION VISITORS AGE PRICES INCLUSIVE OF CATEGORY 14% VAT Friday 14 April to Adults R150 Sunday 23 April (aged 17 to 64) Pensioners R50 09:00-19:00 daily (65 years and older) Teens (aged 13 to 16) R50 Children (aged 6 to 12) R20 Children Free (under 6) 18 April to 20 April Adults and pensioners receive a 50% discount [Adapted from www.therandshow2017.co.za] 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. 1.1.2 Calculate the amount of VAT payable on a teen's ticket. 1.1.3 Determine the probability (in simplified form) of randomly selecting a Friday visit to the Rand Show. 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. Copyright reserved Please turn over (3) G) G3) (9)

Downloaded from hlayiso.com Mathematical Literacy/P2 4 DBE/Feb.—Mar. 2018 NSC 1.2 The South African government offers social support to its citizens by providing social grants to qualifying citizens. The bar graph and table on ANNEXURE A shows the number of citizens who receive social grants and the number of citizens employed per province. 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. QB) 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] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P2 5 DBE/Feb.—Mar. 2018 NSC QUESTION 2 21 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. 2.4.2 Use the transaction details and show, with calculations, how the closing balance was determined. 2.1.3 Explain why the bank omitted some digits from the account number on the statement. 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. 2.1.5 Interpret the amount for balance brought forward for this statement. 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 Mr Son travelled from his home directly to a bank 34 km away. He travelled at an average speed of 85 km per hour and arrived at the bank at 12:10. 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 Copyright reserved Please turn over (2) G) Q) (5) (2) Q) (5)

Downloaded from hlayiso.com Mathematical Literacy/P2 6 DBE/Feb.~-Mar. 2018 NSC 2.3 TABLE 2 below shows the publishing data (some data omitted) in terms of the revenue and the market value of the book titles published in 15 countries during 2013. TABLE 2: REVENUE AND MARKET VALUE OF BOOK TITLES PUBLISHED IN 15 COUNTRIES DURING 2013 COUNTRY REVENUE MARKET VALUE NUMBER OF BOOK (m€) (mLC) (m€) (mLC) TITLES PUBLISHED USA 24 210 26 750 28 265 37 829 304 912 China 9173 77.080 15 342 128 928 444 000 Germany 5 567 5 567 9 536 9 536 93 600 UK 455] 3 898 3 875 3 240 184 000 Japan 5 409 785 100 77910 Korea 2.949 4212 623 4879 6 969 316 43 146 France 2 687 2 687 4401 4 401 95 483 Spain 2.060 2.060 2 708 2 708 76 434 Brazil 1645 5 359 2 239 7294 on Ttaly 1645 1 645 1 838 1 838 64 117 Turkey 1183 1583 1.729 2314 47 352 Netherlands 1108 1 108 1497 1497 24177 Norway 311 2 627 743 4 167 6 373 Finland 254 254 338 338 8 870 Belgium 240 240 252 252 4612 [Source: JPA, Annual Report, October 2014] Brazil published the maximum number of book titles. NOTE: . me€ — millions of euros e mLC — millions of local currency 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. 2.3.2 Calculate the number of book titles published for Brazil if the range of the number of book titles published is 463 223. 2.3.3 Calculate the median number of book titles published. 2.3.4 Determine the modal market value in euros (€). 2.3.5 Determine the number of countries where the euro (€) is the local currency. 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. Copyright reserved Please turn over Q) G) @) Q) (3) (3) [40]

Downloaded from hlayiso.com Mathematical Literacy/P2 7 DBE/Feb—Mar. 2018 NSC QUESTION 3 3.1 An organiser of a science fair has to produce rectangular display boards. The external dimensions of each board are 48 inches by 36 inches. The front surfaces of the boards must be spray-painted with one layer of non-reflective white paint. NOTE: 1 mf of the paint covers a surface area of 50 cm? Linch = 25 mm 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 The organiser of the science fair has a choice of two cylindrical containers (as shown below) for display purposes. A decorative label with a 1 cm overlap will be placed right around the container completely covering the curved surface only. CYLINDER A CYLINDER B Diameter = 30 cm Diameter = 40 cm Height = 30 cm Height = 20 cm 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 = a x diameter x height, where 1 = 3,142 7) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P2 8 DBE/Feb.—Mar. 2018 NSC 3.3 ANNEXURE C shows the floor plan of the layout of the exhibition stands allocated to countries for the International Higher Education Fair. Use ANNEXURE C to answer the questions that follow. 3.3.1 3.3.2 3.3.3 3.3.4 3.3.5 3.3.6 Copyright reserved Give ONE practical reason why the information centre is situated in the middle. Determine the maximum number of higher education institutions from the USA that can exhibit at this fair. 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. 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. Identify which Chinese stand is closest to the information centre. 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. Please turn over Q2) 3B) (3) (4) (2) (5) [36]

Downloaded from hlayiso.com Mathematical Literacy/P2 9 DBE/Feb.—Mar. 2018 NSC QUESTION 4 41 Ms Bobby decided to open a business that sells sportsware sets with printed school logos. Her start-up cost to purchase the machinery and supplies for the business was R10 000. She buys the T-shirts at R50,00 each and the shorts at R35,00 each. It costs a further R10,00 per item to print a school logo on each item. She sells the T-shirt and shorts as one set of sportsware for R125,00 [Adapted from www.bidorbuy.co.za] 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) (a) Show how the R105 in the formula above was determined. (3) (b) Calculate her total cost for 500 sets of sportsware. (2) 41.2 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) NUMBER OF SPORTSWARE 0 200 | 400 | 500 A |} 800 | 1000 SETS SOLD TOTAL INCOME (in thousand rand) 0 25 50 | 62,5 | 87,5 | B 125 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 (a) Write down the number of sportsware sets that must be sold to break even and give the income at the break-even point. (2) (b) Determine exactly how many sets of sportsware must be sold to make a profit of R6 000. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P2 10 DBE/Feb.—Mar. 2018 NSC 42 The photograph of a set of sportsware (T-shirt and shorts) must be placed together on an AA page, as shown below. The actual measurements of the A4 page, T-shirt and shorts are given below. A4 page T-shirt shorts 296 mm set of a eo | I sportswear | 4 34cm +23 om > 209 mm —> —S7 em —> 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. 43 Ms Bobby is interested in selling her sets of sportsware over the Internet. The line graphs in ANNEXURE D show preferred goods purchased over the Internet and in-store. 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. 4.3.2 Determine, with calculations, which goods have the same percentage difference between Internet and in-store purchases. 4.3.3 Determine, with a reason, which ONE of the goods would rather be purchased in-store than over the Internet. TOTAL: Copyright reserved (6) (2) GB) (3) 37] 150

Downloaded from hlayiso.com Mathematical Literacy/P2 11 DBE/Feb—Mar. 2018 NSC ANSWER SHEET 1 QUESTION 4.1.3 CENTRE NUMBER EXAMINATION NUMBER 140 130 120 110 100 90 80 70 60 Amount in thousand rand 50 40 30 20 10 INCOME AND COST GRAPHS 0 200 400 600 800 1000 Number of sets of sportsware Copyright reserved