Mathematical Literacy P1 June July 2015 Eng hlayiso.com

basic education Department: Basic Education REPUBLIC OF SOUTH AFRICA SENIOR CERTIFICATE EXAMINATION MATHEMATICAL LITERACY P1 2015 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages, 3 annexures and 1 answer sheet. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1] 2 DBE/2015 SCE INSTRUCTIONS AND INFORMATION L., 2. 10. This question paper consists of FIVE questions. Answer ALL the questions. Use ANNEXURE A to answer QUESTION 1.2, ANNEXURE B for QUESTION 3 and ANNEXURE C for QUESTION 4. Answer QUESTION 4.7 on the ANSWER SHEET. Write your centre number and examination number in the spaces on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK. Number the answers correctly according to the numbering system used in this question paper. Start EACH question on a NEW page. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. Show ALL the calculations clearly. Round off ALL final answers appropriately according to the context, unless stated otherwise. Indicate units of measurement, where applicable. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 3 DBE/2015 SCE QUESTION 1 1. Mrs Venter has a prepaid electricity meter in her home. The municipality uses sliding scale tariffs for prepaid electricity. The more electricity you purchase in a calendar month the higher the subsequent tariff becomes. TABLE 1 below shows the standard sliding scale tariffs per month for prepaid electricity. TABLE 1: 2014/2015 Standard sliding scale tariffs per month for prepaid electricity NUMBER OF UNITS TARIFF (INCLUDING 14% VAT) The first 500 kWh R1,0746 per unit 501 to 1 000 kWh R1,2208 per unit 1 001 to 2 000 kWh R1,3109 per unit 2 001 to 3 000 kWh R1,4809 per unit More than 3 000 kWh R1,6048 per unit [Source: citypower.co.za 1 unit =1kWh The following photographs of Mrs Venter's electricity meter show the meter readings (in kWh) before and after her first purchase of electricity for the month of May. 02/05/15 02/05/15 Before purchase After purchase 1.1.1 Mrs Venter purchased R360 worth of electricity on 2 May 2015. (a) Show that the meter reading after the purchase is CORRECT. (3) (b) Calculate the VAT amount on this electricity purchase. (3) 1.1.2 On 25 May 2015 the meter reading was 250,7 kWh. How many kWh units of electricity were used from the day of purchase up to this date? (2) 1.1.3 On | June 2015 Mrs Venter purchased 560 units of electricity. Calculate the cost of her purchase. (6) 1.1.4 If the prepaid electricity tariffs are due to increase by 13,5% on 1 July 2015, calculate the new tariff per unit for units between 2 001 and 3 000 kWh. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 1.2 4 SCE DBE/2015 A few years ago Mrs Yengopal's company bought a car on a special purchase agreement. No deposit was paid and the payment plan required fixed monthly instalments over five years and a balloon (residual) amount as a final 61" payment. A balloon (residual) amount is a lump sum owed to the financier at the end of the special purchase agreement after regular fixed monthly repayments have been made. The company receives a tax invoice as well as an updated bank statement every month. ANNEXURE A shows the tax invoice for 5 September 2014. 1.2.1 Use ANNEXURE A to answer the following questions. (a) How many fixed monthly instalments are still to be paid from the date of the invoice until the expiry date of the special purchase agreement? (b) Identify the arrears amount as reflected on the invoice. (c) Express the monthly interest given on the invoice as a percentage of the monthly fixed instalment. (d) Determine the total amount the company would have paid for the car (including the residual amount) at the end of the period. 1.2.2 TABLE 2 shows the bank statement the company received together with the tax invoice. (Some of the details have been omitted.) TABLE 2: Bank statement for the period 2014/08/06 to 2014/09/05 DEY OUTSTANDING TRANSACTIONS | DATE CAPITAL CREDITS BALANCE (CR) Opening balance 2014/08/06 = Debit order 2014/08/20 | R4 249,78 CR| R140 446,50 DR Interest 2014/08/20 | _R1321,21 DR] _RI41 767.71 DR Service fee 2014/08/20 | _*R57,00 DR] R141 824.71 DR Closing balance | 2014/09/05 R141 824,71 DR *Transaction includes VAT (14%). (a) Calculate the opening balance on 6 August 2014. (b) Identify the transaction on the bank statement that is VAT inclusive. (c) Explain, in words, how the closing balance on this statement was calculated. Copyright reserved Please turn over (2) (2) (3) (4) (3) (2) (3) [36]

Downloaded from hlayiso.com Mathematical Literacy/P1 PD) DBE/2015 SCE QUESTION 2 2.1 Freda uses a recipe that requires milk. Below is a picture of a rectangular milk carton with some of the measurements shown and also a diagram of a ruler showing the width of the carton. Milk carton zy pos 10 mm | | Oo 12 3 4 5 6 7 8&8 § 10 11 12 13 14 15 centimetres (cm) The distance indicated between the two arrows on the ruler represents the width of the carton. You may use the following formulae: Volume of a rectangular prism = length x width x height Area of a rectangle = length x width 2.1.1 Explain the term capacity. (2) 2.1.2 Read off the width (in mm) of the carton. (2) 2.1.3 Calculate the volume (in mm*) of the carton. (3) 2.1.4 The four sides of the carton are printed with the producer's logo and information about milk. The expiry date is printed on top of the carton. There is no printing on the bottom of the carton. Determine the total surface area (in cm?) of the carton that can be used for printing. (5) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 6 DBE/2015 SCE 2.2 Freda decides to make two pap tarts at the same time. She uses the recipe (for one pap tart) below that she received from a friend. Pap tart Ingredients (for ONE tart) 125 mé milk 720 m€ chicken stock } teaspoon salt 150 g coarse maize meal 2 packets polony, diced 4 cups of grated cheese Method Prepare the maize pap using the milk, stock, salt and maize meal. Let the pap simmer for 30 minutes. Add the polony to the pap. Add the cheese as a top layer on the pap. Bake the tart in a preheated oven at 180 °C for about 15 minutes. Let the pap tart stand for about 10 minutes to allow it to set before serving. 1 000 m€ = 4 cups 2.2.1 How many cups of milk is required to make TWO pap tarts? 2.2.2 Calculate the total volume (in mf) of the liquid ingredients needed for TWO pap tarts. 22.3 Convert the mass of the maize meal required for TWO pap tarts to kilogram. 2.2.4 Freda started making the two pap tarts at 11:20 and served the tarts at 12:30, directly after it had set. Determine the extra time that she took to prepare the two pap tarts. 2.2.5 Freda e-mailed the recipe for the pap tart to her friend in London, but converted the temperature to Fahrenheit (°F). Convert the temperature of 180 °C to °F. You may use the following formula: Temperature (in °F) = temperature (in °C) x 1,8 + 32 Copyright reserved Please turn over (2) (2) (2) (3) (2)

Downloaded from hlayiso.com Mathematical Literacy/P 1] Z DBE/2015 SCE 2.3 Manchu wants to build fishponds. He draws the top view plans of two fishponds on Squared paper as indicated in the diagrams below. The shaded areas represent the top surface areas of the fishponds. Fish pond A Fish pond B E ami : , — | Each square block represents 1 m?. 2.301 Determine the approximate top surface area (in m?) of fishpond A. Show ALL calculations. (3) 2.3.2 Fishpond B has a top surface area of exactly 8 m’. Soil is removed to a uniform depth of 76 cm to make the pond. Determine the volume (in m*) of the soil removed. You may use the following formula: Volume of the pond = top surface area x uniform depth (3) [29] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 8 DBE/2015 SCE QUESTION 3 Mr Nass does maintenance work at the Nelson Mandela Bay Stadium. He uses his private vehicle to travel to the stadium. The layout plan of a section of the stadium complex is shown on ANNEXURE B. Use ANNEXURE B to answer the following questions. 3.1 Which view of the stadium complex is given on the layout plan? (2) 32 Name the possible vehicle gates that Mr Nass could pass through to park his vehicle in Prince Alfred Park. GB) 3.3 Name the access road leading to gate G10. (2) 3.4 If a person enters though Pedestrian gate BC, determine on which side he will find Imatu Park. (2) 3,5 Identify the zone(s) that are located north-west of Imatu Park, (2) 3.6 The assembly points on three sides of the stadium are shown on the plan. Write down the name of the assembly point on the western side of the stadium using the same type of labels as used for the other assembly points. (2) 3a Determine: 3.7.1 The number of vehicle gates at the stadium complex that are NOT shown on this layout plan (all the gates are numbered from G1 to G13) (2) 3.7.2 The general direction of Gate CD from Lake Side (2) 3.8 If ONE of the lifts of the stadium is faulty, determine the probability that the faulty lift will be located on the western side of the stadium. Express the probability as a percentage rounded off to ONE decimal place. (3) 3.9 Briefly explain why medical aid centres are necessary for a stadium. (2) [22] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 9 DBE/2015 SCE QUESTION 4 Keano is a rugby supporter that followed the 2014 Rugby Championships. He was disappointed that the South African team finished second on the log. He analysed the results as shown in TABLE 3 on ANNEXURE C. The country where the game takes place is called the host country and this country appears first on the results table. The host country's results are also mentioned first. Use ANNEXURE C to answer the following questions. 4.1 Name the stadium and city where the South African team beat Australia. 4.2 Which country hosted the game that had the biggest difference in scores? 43 Determine how many times the one team scored more than double the points scored by the other team. 44 Calculate the probability (in simplified fraction form) of randomly choosing a game that was played in South Africa. 4.5 Which country's team lost their host game in September? 46 Use the points scored by the South African team to answer the following questions. 4.6.1 Arrange the points scored in descending order. 4.6.2 Hence, calculate: (a) The mean points scored (b) The median points scored (c) The range of the points scored (d) The modal points scored 47 The line graph on the ANSWER SHEET shows the points scored by the South African team. Draw another line graph on the same grid to represent the points scored against the South African team. 4.8 Use the graph or the table to answer the following questions. 4.8.1 On which date was the difference between the points scored the biggest? 4.8.2 How many days lapsed between the second and third games played? Copyright reserved Please turn over (2) (2) (2) (3) (2) (2) (3) 2) (2) (2) (6) (2) (2) [32]

Downloaded from hlayiso.com Mathematical Literacy/P 1 QUESTION 5 5.1 10 SCE DBE/2015 The petrol price is determined by the Department of Minerals and Energy. On the first Wednesday of every month the petrol price is fixed for a month. TABLE 4 below shows the petrol price (in cents per litre) from January 2014 to September 2014 for both unleaded (93 octane and 95 octane) petrol and lead-replaced petrol (LRP). TABLE 4: Petrol price (in cents per litre) from January 2014 to September 2014 Inland Price Coastal Price Date of Price Unleaded LRP Unleaded LRP Fixing 93 95 93 93 95 95 octane octane octane octane octane octane 3 September 1341 1366 1341 1317 1325 1325 | 6 August 1408 1433 1408 1384 1392 1392 2 July 1408 1433 1408 1384 1392 1392 4 June 1379 1402 1379 1355 1361 1361 | 7 May 1401 | 1424 1401 1377 1383 1383 2 April 1416 1439 1416 1392 1398 1398 5 March 1411 1432 1411 1391 1395 1395 5 February 1375 1396 1375 1355 1359 1359 1 January 1336 1357 1336 1316 1320 1320 [Source: www.aa.co.za] 5.1.1 On which date was the coastal price of 93 octane unleaded petrol fixed at its lowest? S.J.2 During which month was the price of 95 octane unleaded petrol the highest? 5.13 Determine the difference between the inland price and the coastal price per litre of 93 octane unleaded petrol on 1 April 2014. 5.1.4 During which month did the price of 93 octane unleaded petrol remain unchanged? S15 Between which two consecutive months was the decrease in the inland price of 93 octane unleaded petrol the greatest? 5.1.6 Determine the percentage change in the coastal price of 93 octane LRP Copyright reserved petrol between May 2014 and June 2014. Round off your answer to TWO decimal places. You may use the following formula: Difference in price Percentage change = Be x 100% Initial price Please turn over (2) (2) (3) (2) (2) (4)

Downloaded from hlayiso.com Mathematical Literacy/P 1 5.2 i SCE DBE/2015 Mr Mthembu has to go on a business trip. He plans to stay in Barberton for one day and in East London for two days. He obtains a weather forecast for the two towns to help him decide what clothes he would need for his trip. A summary of the information he obtained is given below with the minimum and maximum temperatures given in degrees Celsius. Three-day weather forecas t for Barberton Friday — 25/09/2015 Saturday — 26/09/2015 Sunday — 27/09/2015 oO oO toy 329/170 33°/15 18°/13° Rain: 0% Rain: 0% Rain: 50% Three-day weather forecast for East London Saturday — 26/09/2015 18°/11° rat Pag Rain: 20% Sunday — 27/09/2015 15°/13° 4 Rain: 80% Monday — 28/09/2015 219/12° Od Rain: 100% [Adapted from accuweather.com] $24 5.2.2 an even chance of rain. 5.2.3 the three days. Copyright reserved On which day will it definitely be raining in East London? Write down the name of the town and the date where the forecast shows Identify the lowest predicted minimum temperature for Barberton during Please turn over (2) (2) (2)

Mathematical Literacy/P 1 Downloaded from hlayiso.com 12 SCE DBE/2015 5.3. | Sizwe and Bongi each buy the same number of cases of cool drink. A case of 24 cans of cool drink cost R153,60. Sizwe sells his cans at R9,00 each. The following line graphs show the income of Sizwe and Bongi respectively for various numbers of cans of cool drink they sold. Sizwe and Bongi's income from the sale of cans of cool drink 800 — es es es ee = = 700 — — —— . a T Rongi_ 600 : 500 x < = 400 ev E — g — & 300 200 - 100 -— 0 10 20 30 40 50 60 70 80 Number of cans sold 5.3.1 Calculate the cost price of ONE can of cool drink. (2) 5.3.2 Calculate Sizwe's profit if he buys and sells 96 cans of cool drink. (3) 3.3.3 Use the graph to determine the following: (a) Bongi's selling price for ONE can of cool drink (3) (b) The number of cans of cool drink that must be sold so that Bongi's profit would be exactly R60 more than the profit made by Sizwe if they both buy and sell the same number of cans of cool drink (2) [31] TOTAL: 150 Copyright reserved GAUTENG

Downloaded from hlayiso.com Mathematical Literacy/P 1 DBE/2015 SCE ANNEXURE A QUESTION 1.2 TAX INVOICE NO: WB/97471224 a DATE: 2014/09/05 heels ank NCR Registration No: NCRCPO01 Physical Address: 1 Boom Street Oakville 2221 Postal Address: Private Bag X01 Oakville 2201 Telephone number: 0861 222 1212 Fax number: 0861 222 1213 E-mail: service@wheelsbank.co.za A Division of SA Bank Limited An Authorised and Registered Credit and Financial Services Provider CUSTOMER AGREEMENT DETAILS Customer number Account number In the name of Goods description Original capital balance Instalment amount (fixed) Frequency of instalment Date commenced Expiry date Original term (months) No. of remaining instalments Balloon/Residual Outstanding capital balance Actual contract balance 10022227955 85165354295 Mrs R Yengopal Mercedes-Benz C180k Be Classic A/T R298 716,00 R4 249,78 MONTHLY 2010/06/04 2015/06/20 61 9 R115 491,44 R141 824,71 R153 320,62 Summary of Transactions for Statement Period Payments received R4 249,78 Interest RI 321,21 Fees levied R57,00 Instalment Details Instalment due date 2014/09/20 Instalment due amount R4 249,78 Advanced amount RO,00 Arrears amount RO,00 Amount due R4 249,78 Ccepeigiiteerved UNTO TE A GAUTENG

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Downloaded from hlayiso.com Mathematical Literacy/P 1 DBE/2015 SCE ANNEXURE C QUESTION 4 TABLE 3: Results of the 2014 Rugby Championship October 2014 Date Score Venue 5 | Argentina 21-17 | Australia Estadio Malvinas Argentinas, Mendoza 4 | South Africa 27-25 New Zealand Ellis Park Rugby Stadium, Johannesburg September 2014 Date Score Venue 27 | South Africa 28—10 | Australia Newlands, Cape Town | 99 Argentina 13 —34 New Zealand Estadio Ciudad de La Plata, La Plata 13. | Australia 32-25 Argentina Skilled Park, Gold Coast, Queensland 13. | New Zealand 14 —10 | South Africa Westpac Stadium, Wellington | 6 | Australia 24-23 South Africa Patersons Stadium, Perth r New Zealand 28-9 Argentina McLean Park, Napier August 2014 Date Score Venue 23 | Argentina 31-33 South Africa Padre Ernesto Martearena, Salta 23 | New Zealand 51-20 | Australia Eden Park, Auckland 16 | South Africa 13-6 Argentina Loftus Versfeld, Pretoria 16 | Australia 12-12 | New Zealand | ANZ Stadium, Sydney Copyright reserved [Source: www.supersport.co.za]

Downloaded from hlayiso.com Mathematical Literacy/P 1 DBE/2015 SCE ANSWER SHEET QUESTION 4.7 CENTRE NUMBER: L_TTTTTCT 4 EXAMINATION NUMBER: [_[T TT [| | | | | J] LT J Points scored by and against the South African team during the 2014 Rugby Championship 35 I — st: ZN » 30 25 20 L 1s 4 Number of points scored 10 16-Aug 23-Aug 6-Sept 13-Sept 4-Oct Date of game Copyright reserved