Mathematical Literacy Grade 11 P1 North West June 2018 QP

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICAL LITERACY PAPER 1 JUNE EXAM 2018 9 m MARKS: 75 MEMORANDUM TIME: 1, 5 hours This question paper consist of 9 pages including an annexure and an answer sheet Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use ANNEXURE to answer QUESTION 4.2 and the ANSWER SHEET to answer QUESTION 2.4. 3. Number the answers correctly according to the numbering system used in the question paper. 4. ALL the calculations must be clearly shown. 5. An approved calculator (non- programmable and non- graphical) may be used, unless stated otherwise. 6. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 7. indicate units of measurement, where applicable. 8. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 9. Write neatly and legibly. Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 QUESTION 1 1.1 Mrs Olifant intends to bake muffins using the muffin mixture below. 1.1.1 Convert 500g, the mass of the muffin mixture to kg. (2) 2 1.1.2 If one cup of oil 250ml and the recipe needs 3 cup, how many ml of oil is needed. Round off your answer to the nearest whole number (3) 1.1.3 The packet indicates that 12 large muffins can be baked using this mixture. Calculate the total number of muffins that can be baked using two packets. (2) 1.2 The table below shows the cost of parking in a certain town. Number of hours Cost 0 to 1 hour FREE Between 1and 3 hours R 4,00 Between 3 and 5 hours R 6,00 Between 5 and7 hours R 8,00 Between 7 and 9 R 10,00 From 9 hours R 12,00 Saturdays before 13:00 R 5,00 Sunday and public holidays FREE Use the table above to answer the questions that follow. 1.2.1 Write down two time slots during which parking will be for free. (2) 1.2.2 Calculate the total time spend at this parking lot, if the owner of a car parked from 8: 45 to 13:25. (3) 1.2.3 Determine the amount that the owner of the car will pay will pay for parking. (2) [13] Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 QUESTION 2 2.1 The youth of Rantsheng township are planning to hold their annual conference in June. They have arranged to use the civic Centre in the township. A basic fee of R2 400 will be charged for decorations and an additional fee of R50, 00 per person will be charged. The table below shows the cost of using the civic centre. TABLE1: Cost of using the civic centre Number of people 0 10 20 40 50 100 Cost (R) 2400 2900 A 4400 4900 7400 They will also raise funds during this conference by selling raffle tickets. The tickets will be sold at R 130, 00 each. The table below shows the income of selling the raffle tickets. TABLE 2: Income from selling the raffle tickets Number of 0 10 20 40 B 100 people Cost (R) 0 1300 2600 5200 10400 13000 Use table1and 2 and the information above to answer the questions that follow. 2.1 Write down the formula for calculating the total cost of using the civic centre. (2) 2.2 Use the formula to calculate the value of A. (2) 2.3 Use the formula I= R130, 00 × n to calculate the value of B. (2) 2.4 Use table 1and 2 to draw two line graphs on the same set of axis on the answer sheet provided. Clearly label the graph cost. (8) 2 .5 How many tickets must the youth sell in order to breakeven (2) [16] Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 QUESTION 3 3.1 Katlego has an account with a clothing store. Instalment KATLEGO TSATSI R200, 00 PO Box 1496 Over due Zeerust 2865 Total due R200, 00 Date Due date 09/11/2016 08/12/2016 Amount Balance Opening balance R1000, 61 08/11/2016 Interest R23,73 R1024, 34 08/11/2016 ATM payment R200, 00 R824, 34 09/11/2016 Account protection R20, 56 R844, 90 plan 09/11/2016 Lifestyle magazine R25, 00 R869, 90 Use the statement above to answer the questions that follow. 3.1.1. Write down the opening balance of the account. (2) 3.1.2 How much did Katlego pay for this month? (2) 3.1.3. Which deduction on this account is a not necessity? (2) 3.1.4. Determine the interest as a percentage of the opening balance. (2) 3.2 Katlego borrows R13 500, 00 at 12% interest compounded monthly. How much will he pay at the end of 3 months ? (5) Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 The municipality in which Katlego lives charges monthly tariffs for water 3.3 according to the sliding scale shown below. Use the scale to answer questions that follow. 3.3.1. Water Usage Rate per kilo 0 - 6 kl Nil 6 – 12 kl R18, 04 12 – 18 kl R10, 55 18 – 24 kl R12, 21 24 – 30 kl R13, 95 30 – 42 kl R15, 08 42 – 72 kl R16, 08 More than 72kl R17, 28 Calculate the cost if Katlego uses 27 kl of water. (5) 3.3.2. The municipality also charges R44, 82 for refuse removal. The amount was increased by 17%. Calculate the new charge. (2) 3.4 Katlego earns R25 000, 00 per month in the department in which he works. Calculate how much he would earn if he was working in a country which pays in pounds. (Exchange rate R1, 00 = £ 16, 93) (3) [23] Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 QUESTION 4 4.1 The grade 11 learners of Sphola secondary are planning to start a vegetable garden. They will use a tank to store water for irrigation. The tank is 2,5m long and its diameter is 150cm. The following formulae and the conversion may be used: 𝐕𝐨𝐥𝐮𝐦𝐞 = 𝝅𝒓𝟐 𝒉 𝐒𝐮𝐫𝐟𝐚𝐜𝐞 𝐀𝐫𝐞𝐚 = 𝟐𝝅𝒓(𝒓 + 𝒉), where 𝝅 = 𝟑, 𝟏𝟒𝟐 1000cm3 = 1litre 4.1.1 Determine the radius of the water tank. (2) 4.1.2 Calculate the volume of water in litres (to two decimal places) when the tank is full. (5) 4.1.3 Calculate the surface area (to the nearest 𝑚2 ). (4) 4.2 The ANNEXURE shows the map of the Ultra marathon. Use the annexure to answer the questions that follow. 4.2.1 Write the total number of the medical stations and the refreshments stations on the map. (4) 4.2.2 How many kilometres would an athlete have completed at the 17th refreshment station. (2) 4.2.3 At what point will this marathon end. (2) 4.2.4 The winner of this 56 km marathon completed the race in 3 hours and 15 minutes. Calculate his average speed. (4 You may use the following formula 𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 Speed = 𝑻𝒊𝒎𝒆 [23] Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 ANNEXURE: Demo NW/JUNE/MATLIT/ EMIS/6*******

Downloaded from hlayiso.com Mathematical Literacy/P1 NCS-Grade 11 NW/June 2018 QUESTION 2.4 Name of learner:______________________________ Class:_______ Income and cost 14000 12000 10000 8000 6000 4000 2000 0 0 10 20 30 40 50 60 70 80 90 100 110 Demo NW/JUNE/MATLIT/ EMIS/6*******