Mathematical Literacy P1 Nov 2018 Eng hlayiso.com

2 i LAIN waters cee basic education Department: Basic Education REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 12 ayy 2 eee 2 ee eee ee ee eee SEB EB BRB SB EBB RS > H MATHEMATICAL LITERACY P1 ul 1 1 7 NOVEMBER 2018 7 Ve ee eee” MARKS: 150 TIME: 3 hours This question paper consists of 12 pages, 1 answer sheet and an addendum with 3 annexures. Copyright reserved. Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 2 DBE/November 2018 NSC INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. 21 Use the ANNEXURES in the ADDENDUM to answer the following questions: e ANNEXURE A for QUESTION 2.1 e ANNEXURE B for QUESTION 3.1 e ANNEXURE C for QUESTION 4 22 Answer QUESTION 5.2.7 on the attached ANSWER SHEET. 23 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 necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/November 2018 NSC QUESTION 1 1.1 Happy Life Superstore advertised the specials below for the annual Black Friday in 2017. m at, iy varie. * — Coke, Sprite and Fanta Ariel 30% OFF 50% OFF R11 each R45 each Sunlight Classic Liquifruit Weetbix 35% OFF 45% OFF 40% OFF Save R20 R18 R15 each R22 each R44 fy y) J ht Jacobs Airborne hth Gaviscon Save R35 Save R25 Save R70 Save R30 R65 each R30 per pack R250 R43 [Source: www.checkers.co.za] NOTE: © 1£=1000 mf e ALL amounts given INCLUDE the discount Study the advertisement above to answer the questions that follow. LLL Write down the number of day(s) on which these prices are valid. 1.1.2 Calculate the original price of hth before the saving. 1.1.3 Write down the name of the product which is now half price. 1.1.4 Convert 750 mé to litres. 1.1.5 Calculate the total price of ONE 2 ¢-bottle of Coca Cola and TWO 2 €-bottles of Fanta. 1.1.6 Arrange ALL the sale prices in ascending order. Copyright reserved Please turn over (2) (2) (2) (2) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 4 DBE/November 2018 NSC 1.2 The picture below is a scaled drawing of a T-shirt for Grade 12 learners. FRONT OF T-SHIRT BACK OF T-SHIRT ay). ae A SE i Celsius , \ ry = \ \ / Keep | \ & Calm wa ~ we 4 and he pass 7 [<—L Mathematical | ength | Literacy | as Scale = 1:25 1.2.1 Calculate the number of letters needed to print the logo on the front of the T-shirt. 1.2.2 Write down the temperature displayed on the thermometer in “C. 1.2.3 Explain the meaning of the scale in the drawing above. 1.2.4 Measure the length of the back of the T-shirt in mum, as indicated in the drawing. 1.3 The Two Oceans Marathon and the Comrades Marathon are two of the most popular ultramarathons in the world. TABLE 1 below shows the dates, distances and entry fees of these marathons. TABLE 1: TWO OCEANS MARATHON VS COMRADES MARATHON TWO OCEANS COMRADES Date (2017) 15 April 2017 4 June 2017 Distance 56 km 89 km Entry fee R520,00 R460,00 {Adapted from www.capetownmagazine.com and www.news.comrades.com] Use TABLE 1 above to answer the questions that follow. 1.3.1 1.3.2 1.3.3 Copyright reserved Which race took place first? Which one of the two races had the longest distance? Determine the difference between the entrance fee of the Two Oceans Marathon and the entrance fee of the Comrades Marathon. Please turn over (2) (2) 2) (2) 2) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1L 5 DBE/November 2018 NSC 1.4 The Comrades Marathon Association (CMA) has issued its medical statistics for the race held on Sunday 4 June 2017. Start of the race: 05:30 End of the race: 17:30 TABLE 2 shows the medical statistics on race day. TABLE 2: MEDICAL STATISTICS Athletes starting the race 17.031 Athletes finishing the race 13 852 Athletes treated in the medical tent 400 Hospital-treated athletes 90 Hospital-admitted athletes 40 [Adapted from http://www.runnersworld.co.za] Use TABLE 2 above to answer the questions that follow. 1.4.1 Write down the maximum time given to the athletes to complete the Comrades Marathon. 1.4.2 State if the medical statistics data is discrete or continuous. 1.4.3 Write down the ratio of athletes starting the race to the athletes finishing the race. Copyright reserved Please tum over (2) (2) (2) [32]

Downloaded from hlayiso.com Mathematical Literacy/P 1 6 DBE/November 2018 NSC QUESTION 2 2.1 ANNEXURE A shows the student fees statement for Tamryn Abrahams, a second- year Architecture student at the University of Cape Town (UCT). Use ANNEXURE A to answer the questions that follow. 2.1.1 2.1.2 2.1.3 2.1.4 Copyright reserved Explain the meaning of the term interest with reference to the student fees statement. Write down the balance (excluding interest) that was brought forward on the last day of the previous year. Calculate the monthly interest rate that was used on the overdue fees for the previous year. Write down the code and the name of the module/course that is the most expensive. Show how the amount of R6 317,70 was calculated. Calculate the total amount debited to this account for the courses studied in the 2017 academic year including interest on overdue fees in 2017. State the payment method used to transfer money into this account. A family friend paid the balance of R40 386,60 on condition that the amount could be paid back in equal monthly instalments, interest free. Show how the monthly instalment of R8 077,32 was calculated if the first payment was due on 1 November 2017 and the last payment was due on 1 March 2018. Please turn over (2) (2) G3) (2) (2) (3) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 7 DBE/November 2018 NSC 2.2 The graph below shows the effect of inflation from 2015 going back 50 years. 1000 400 Cost in rand (R) 200 100 0 300 | VALUE OF A TROLLEY COSTING R1 000 IN 2015 900 | 800 | 700 | 600 | 500 | | | R557,00 | R418,00 4 | R291,00 | | R85,00 | R14,00 R26,00 fa 1965 1975 1985 1995 2000 2005 Years R1 000,00 R701,00 | 2010 2015 Below are certain South African items and their prices for the years 1970 and 2015. PRICE IN 1970 PRICE IN 2015 Spur burger ee) RO,30 R62,90 Cheddamelt steak ie) RO,50 R104,90 Ricoffy 750 g — RO,25 R75,00 Nestlé condensed milk F RO,10 R19,00 [Source: www. inflation.eu, Use the information above to answer the questions that follow. 2.2.1 2.2.2 2.2.3 2.2.4 2.2.5 Copyright reserved Explain the term inflation within the given context. Write down the price of a Spur burger in 1970. (2) (2) Calculate by how much the cost, in rand, of a trolley had increased from 2000 to 2005. (3) Calculate the percentage increase of Ricoffy from 1970 to 2015. You may use the following formula: Percentage increase = new amount — original amount original amount x 100 % 3) A cheddamelt steak was sold for R104,90 at a percentage profit of 17,5%. Determine the cost price. (2) Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 8 DBE/November 2018 NSC 23 TABLE 3 below shows the national budget and education budget of South Africa for 2017/18. TABLE 3: NATIONAL BUDGET AND EDUCATION BUDGET OF SOUTH AFRICA FOR 2017/2018 NATIONAL BUDGET OF EDUCATION BUDGET OF SOUTH AFRICA (IN RAND) SOUTH AFRICA (IN RAND) Economic affairs and 241,6 billion | Basic education 216,7 billion agriculture Defence and public 198,7 billion | University subsidies 31,6 billion safety Health 187,5 billion | Education 15,8 billion administration General admin 70,7 billion | Skills development levy | 21,1 billion institutions Local development and | 195,8 billion | National student 15,3 billion infrastructure financial aid scheme (NSFAS) Debt service costs 162,4 billion | Technical and 7,5 billion vocational education and training Social protection 180,0 billion | Other 12,5 billion Education 320,5 billion [Adapted from www.graphics24.com] Use TABLE 3 above to answer the questions that follow. 2.3.1 2.3.2 2.3.3 2.3.4 2.3.5 Copyright reserved Which of the amounts below represents the economic affairs and agriculture budgets? A 24 160000 B_ 241 600 000 000 C 241 600 000 D_ 24 160 000 000 000 Explain the term budget within the context above. Write down the item which receives the third most money from the education budget. Calculate the percentage of the total education budget that is allocated to the NSFAS. University subsidies comprise about 9,86% of the total education budget. Estimate the combined budget, as a percentage, for education administration and the NSFAS. Please turn over (2) Q) 2) 3) (2) [41]

Downloaded from hlayiso.com Mathematical Literacy/P1 9 DBE/November 2018 NSC QUESTION 3 3.1 Liam and Amy are planning their wedding. Amy wants a four-layer red velvet 3.2 wedding cake. She must still decide between a cylindrical or rectangular cake as shown on ANNEXURE B. Use ANNEXURE B to answer the questions that follow. 3.1.1 Determine the total height of the cylindrical cake in millimetres. 3.1.2 The base (bottom) layer of the cylindrical cake has a radius of 14 cm. (a) Determine the diameter of the base layer in cm. (b) Calculate the volume (in cm’) of the base layer. You may use the following formula: Volume of a cylinder = 2 x (radius)” x height, and using m = 3,142 3.1.3. Define the term perimeter. 3.1.4 Calculate the area (in cm’) of the base of the pan needed to bake the top layer of the rectangular cake. You may use the following formula: Area = length x width Aunt Abby will bake the wedding cake. She will be using a recipe from a recipe book published in England. NOTE: e 1kg=2,25 pounds e 1 mf flour = 0,7 g flour 3.2.1 Aunt Abby needs 3 and a half pounds of butter. Determine the mass of butter, in kilogram. 3.2.2. Aunt Abby only has a kitchen scale available. If aunt Abby needs 625 m€ of flour, determine the mass of the flour in grams. 3.2.3. The cake must be baked at 356 °F. Determine to what degree Celsius the oven should be turned. You may use the following formula: °C = (°F - 32°) + 1,8 Copyright reserved Please turn over (3) (2) (3) (2) (2) (2) (2) 2) [18]

Downloaded from hlayiso.com Mathematical Literacy/P1 1 DBE/November 2018 NSC QUESTION 4 4.1 A parkrun is a weekly 5 km run. A group of runners drove from Upington to Springbok to take part in the weekly parkrun in Springbok. ANNEXURE C shows a route map from Upington to Springbok. Use ANNEXURE C to answer the questions that follow. 4.1.1 Give the general direction from Upington to Springbok. 4.1.2 Write down the name of the national park close to Kamieskroon. 4.1.3. Name TWO towns the runners will pass through on their way to Springbok, following the N14. 4.1.4 Identify the type of scale used on the map. 4.1.5 Use the given scale to determine the actual distance (to the nearest km) between Upington and Springbok. 4.2 On arrival in Springbok the runners must first pick up Joe, a fellow runner, before heading to the parkrun (B). ANNEXURE C shows a street map indicating the route from entering Springbok (A) to the parkrun (B). Use ANNEXURE C to answer the questions that follow. 4.2.1 Name the road by which they will enter Springbok. 4.2.2 Joe gives them the following directions to his home: e Enter Springbok from Upington. e Turn right into Uitspan Street. e — Turn left into Lukhof Street. « — Turn left into the first street. Use the directions above to determine in which street Joe lives. 4.2.3 Name of the lodge near the parkrun. 4.2.4 The distance from Joe's house to the parkrun is 2,34 km. They travel at an average speed of 40 kam/h. Determine how long it will take them (in minutes) to get from Joe's house to the parkrun. You may use the following formula: Time = distance speed 4.2.5 29 of the 42 athletes who participated in the parkrun were female. Copyright reserved Determine the probability of randomly selecting a male athlete from this group. Please turn over 2) (2) (3) (2) (4) 2) (2) (2) @) (2) [24]

Downloaded from hlayiso.com Mathematical Literacy/P1 1 DBE/November 2018 NSC QUESTION 5 5.1 During certain seasons in South Africa, the wind can lead to fires that cause large damages. The fire losses in South Africa for the period 2010 to 2015 are shown in TABLE 4 below. TABLE 4: LOSSES CAUSED BY FIRE FOR THE PERIOD 2010 TO 2015 2010 2011 2012 | 2013 | 2014 | 2015 Total loss in rand 1323 | 2085.6] 3162 | 2158 | 1847 | 2732 (in millions) GNI 2 608,5 | 2 897,6 | 3066 | 3441 | 3694 | 3913 (in thousand millions) Fire loss as a % of GNI 0,05% | 0,07% |0,103%| A 0,05% | 0,07% Number of fires 26,5 37,7 41,4 42,3 46,1 45,7 (in thousands) Population (rounded) 49,9 51,7 52,2 52,9 53,5 54,3 (in million) [Adapted from: http://www. fpasa.co.za’ NOTE: GNI - gross national income Study TABLE 4 above to answer the questions that follow. 5.1.1 Write down the total loss, in rand, caused by fire during 2011. 5.1.2 Calculate the mean total loss, in rand, caused by fires for the period 2010 to 2015. 5.1.3 Identify the maximum number of fires for the period 2010 to 2015. 5.1.4 Calculate the value of A, the fire loss as a percentage of the GNI for 2013. Round your answer to TWO decimal places. Copyright reserved Please turn over Q) @) (2) (4)

Downloaded from hlayiso.com Mathematical Literacy/P1 12 DBE/November 2018 NSC 5.2 TABLE 5 below shows the labour force characteristics of South Africa for the fourth quarter of 2017. TABLE 5: LABOUR FORCE CHARACTERISTICS IN SOUTH AFRICA IN 2017 (IN THOUSANDS) TOTAL | TOTAL ECONOMICALLY ACTIVE LABOUR | NEA | TOTAL | Employed | Unemployed FORCE Eastern Cape 4216 2071 2 145 1391 754 Free State 1.893 697 1196 806 390 Gauteng 10 059 3016 7 043 4991 2.052 KwaZulu-Natal 6 948 3 638 3 310 2 513 797 Limpopo 3 704 1941 1 763 1417 346 Mpumalanga 2 878 1130 1748 xX 506 Northern Cape 790 349 441 321 120 North West 2 534 1221 1313 999 314 Western Cape 4507 1412 3.095 2 492 603 South Africa 37 529 15 475 22 054 16 172 5 882 NOTE: NEA - not economically active [Adapted from: www.statssa.co.za] Use TABLE 5 above to answer the questions that follow. 5.2.1 5.2.2 5.2.3 5.2.4 5.2.5 5.2.6 5.2.7 5.2.8 Copyright reserved Explain the meaning of the term unemployed within the context of the table above. Determine the value of X, the number of people employed in Mpumalanga. Name ONE data collection instrument that could be used to collect the data above. Calculate the percentage of people in the Western Cape who are NOT economically active (NEA). Write down the ratio of employed people to unemployed people in South Africa in the form ...: 1. Determine the probability (as a decimal) of randomly selecting a person in the Free State who is NOT economically active (NEA). The graph on the ANSWER SHEET represents the number of economically active people, as well as those who are not economically active (NEA) in South Africa. The bars for ALL economically active persons and only the bar for the people in the Eastern Cape who are NOT economically active (NEA) are drawn. Use the ANSWER SHEET to draw the graphs for the rest of the provinces. Determine the probability, as a simplified fraction, of selecting a province where fewer than 350 000 people are unemployed. TOTAL: 2) (2) 2) (3) (2) (3) (6) (4) (35] 150

Downloaded from hlayiso.com Mathematical Literacy/P1 DBE/November 2018 NSC ANSWER SHEET QUESTION 5.2.7 CENTRE NUMBER: EXAMINATION NUMBER: NUMBER OF ECONOMICALLY ACTIVE AND NOT ECONOMICALLY ACTIVE PEOPLE IN SOUTH AFRICA 10000 + Number of people (in thousands) Free State Limpopo Mpumalanga ~ Northern Cape LA Eastern Cape z 3 2 § SB KwaZulu-Natal Provinces Copyright reserved