Mathematical Literacy Grade 11 P1 2017 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2017 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours This question paper consists of 13 pages including an answer sheet.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. Use the ANSWER SHEET provided to answer QUESTION 5.2.2. 3. Write your NAME and GRADE on your ANSWER SHEET and hand it in with your ANSWER BOOK. 4. Number the answers correctly according to the numbering system used in this question paper. 5. Start EACH question on a NEW page. 6. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 7. Show ALL calculations clearly. 8. Round off ALL the final answers appropriately according to the given context, unless stated otherwise. 9. Indicate units of measurement, where applicable. 10. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 11. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 Study the payslip below and answer the questions that follow. Payslip for the period 1 January 2017 – 31 January 2017 Name of Date of Payment: Employer: LND Pty Ltd 5 Feb 2017 Name of Method of Payment: Employee: Thando Peter Cash ITEM AMOUNT OVERTIME (R) DETAILS Basic salary 25 820 Overtime hours 5 Total allowances 6 455 Total worked R1 290 (breakdown below) overtime pay (i) Transport 3 873 Item Amount (ii) Uniform 2 582 Other additional R38 730 Payments (Breakdown below) Deductions Annual Bonus R38 730 (i) UIF 258,20 (ii) Income Tax 4 956,38 Net Pay ---------- (iii) Loan 2 582 (iv) Pension Fund 1 956,50 1.1.1 Write down the month in which the salary was paid. (2) 1.1.2 Calculate the total deductions for this employee. (2) 1.1.3 Write down the acronym UIF in full. (2) 1.1.4 The employee decided to share R1 290 between his two children Linda and Ludwe in the ratio 3 : 2 respectively. Calculate the amount Linda will receive. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) 1.2 Asisipho drew the diagram below showing her mother’s room. Calculate the perimeter of the room in centimetres. (2) 1.3 Study the strip map below and answer the questions that follow. 1 : 250 000 1.3.1 Write down the compass direction of Lauterbach from Hanau. (2) 1.3.2 Explain the meaning of 1 : 250 000 on the chart. (2) 1.4 Bonny recorded Graaff Reinet’s temperatures in degrees Celsius from Wednesday, 13th of September to Friday, 22nd of September 2017.Study the information below and answer the questions that follow. Dates 13 14 15 16 17 18 19 20 21 22 Min. 8 8 11 7 7 9 12 12 12 12 Max. 25 21 26 17 19 23 29 28 26 27 [Source: accuweather.com] 1.4.1 Arrange the maximum (max.) temperatures from smallest to biggest. (2) 1.4.2 Write down the lowest minimum value of the data. (2) 1.4.3 Write down the meaning of the “mode” in a data. (2) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 5 QUESTION 2 2.1 Quzini High School soccer and rugby teams are planning a tour to Port Elizabeth. The team’s manager, Lwando obtained a quotation for accommodation costs per night at Red Lodge shown in TABLE 1 below. TABLE 1: RED LODGE ACCOMMODATION COSTS Type of room Cost per night per unit 2 Sleeper R855 4 Sleeper R1 035 6 Sleeper R1 400 8 Sleeper R1 495 Executive (Honeymoon) R1 450 NOTE: These prices exclude VAT (VALUE ADDED TAX = 14%) Use the table above to answer the questions that follow. 2.1.1 Write down the cost for the executive room. (2) 2.1.2 Express the cost for the executive room as a percentage of the cost of a room where 8 sleep. Give your answer to ONE decimal point. (4) 2.1.3 Calculate the total amount to be paid per day for accommodation if the learners use the rooms as follows: 1 room where 8 sleep 2 rooms where 4 sleep 3 rooms where 6 sleep (4) 2.1.4 Hence, calculate the total cost including Value Added Tax (VAT of 14%) of accommodation if the learners will stay for four days and return on the fifth day. (5) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) 2.2 A deposit of 12,5 % of the total accommodation cost excluding VAT is required to secure the booking and the balance is payable on the day of arrival. 2.2.1 Calculate the amount that must be paid as deposit. (3) 2.2.2 Calculate the balance amount to be paid on the day of arrival. (2) 2.2.3 Write in words the balance amount to be paid on the arrival day. (2) The school received a donation of 20 US Dollars ($) from an ex-rugby player to cater for transport. 2.2.4 Convert the $ 20 to rands. Given $ 1 = R14,2058. (3) 2.3 Study the parking tariffs below and answer the questions that follow. MALL A: PARKING TARIFFS Monday – Thursday Friday, Saturday, Sunday and Public Holidays 0 hour – 1,5 hours R0,00 0 hour – 1,5 hours R5,00 1,5 hours – 2,5 hours R9,00 1,5 hours – 2,5 hours R10,00 2,5 hours – 3,5 hours R12,00 2,5 hours – 3,5 hours R10,00 3,5 hours – 4,5 hours R14,00 3,5 hours – 4,5 hours R10,00 4,5 hours – 5,5 hours R16,00 4,5 hours – 5,5 hours R10,00 5,5 hours – 6,5 hours R19,00 5,5 hours – 6,5 hours R10,00 6,5 hours + R35,00 6,5 hours + R30,00 Lost ticket R35,00 Lost ticket R35,00 Quzini High School’s bus is expected to park at Mall A’s parking area during the week. The parking is for 2,6 hours daily, from the 2nd to the 5th day of the tour while the learners enjoy a breakfast. Calculate the total amount of money to be paid for parking. (2) [27] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 7 QUESTION 3 3.1 Dogs are fed according to their weight to keep them healthy. Nikki keeps two dogs, Tiger and Tommy, which weigh 22 kg and 42 kg respectively. Study the dog food specifications label in TABLE 2 below to answer the questions that follow. TABLE 2: DAILY FOOD REQUIREMENTS ACCORDING TO WEIGHT Size of dog Weight of dog Daily food requirement Small Up to 20 kg 250 g Medium 20 – 40 kg Minimum 250 g – Maximum 500 g Large 40 kg+ Minimum 500 g – Maximum 750 g 3.1.1 Calculate the amount of daily minimum food requirements for the two dogs. Give your answer in cups. Use 1 cup = 125 g (3) 3.1.2 Calculate the number of days a 10 kg packet of dog food will last the two dogs feeding them with minimum requirement ratios. You may use the formula: weight of a packet Number of days = daily requirement of two dogs (4) 3.1.3 Convert Tommy’s weight to tons. 1 ton = 1 000 kg. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) 3.2 Thandi wants to lay ceramic tiles in her rectangular bedroom that measures 3 m by 3,5 m. Study the details of the size and the packaging of the tiles below and answer the questions that follow. Dimensions of a tile Cost of tiles [Adapted from BTM catalogue] 3.2.1 Convert 43 cm to metres (m) (2) 3.2.2 Calculate the area of Thandi’s main bedroom. You may use the formula: Area of a rectangle = length x breadth (2) 3.2.3 Calculate the number of boxes of tiles needed for Thandi’s bedroom. (tiles are sold in boxes only) You may use the formula: Area of the bedroom Number of boxes of tiles = (5) area of a tile x number of tiles in a box [18] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 9 QUESTION 4 4.1 Study the floor plan of the shopping mall below and answer the questions that follow. [Source: www.decorfarms.me] 4.1.1 Determine the number of 2 x 3 units. (2) 4.1.2 Identify the size of units found at the corners of the mall. (2) 4.1.3 Lindi entered the mall on the West side. She went straight through Region V and turned left before entrance 3, passing three shops on the right and entered the fourth shop on the left. Write down Lindi’s destination. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) 4.2 Study the second last stage of assembling a learner’s desk below and answer the questions that follow. SECOND LAST STAGE OF ASSEMBLING THE SCHOOL DESK Determine the following: 4.2.1 The number of screws needed to fix two of these school desks (2) 4.2.2 The direction in which the screw is tightened. Is it clockwise or anticlockwise? (2) [11] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 11 QUESTION 5 5.1 TABLE 3 below shows the information about the dams that had above ten million cubic metres of water in January 2016. The terms “fullest and emptiest” are used to indicate the amount of water in the dam in relation to its capacity. TABLE 3: DAMS WITH MORE THAN TEN MILLION CUBIC METRES OF WATER Province Fullest dam Fullest Emptiest dam Emptiest dam name dam name capacity capacity (in million (in million cubic metres) cubic metres) Northern Cape Boegoeberg 19,9 Spitskop 57,9 Western Cape Garden 10 Gamkapoort 36,3 Route Free State Saulspoort 15,7 Krugersdrift 71,5 North West Bospoort 15,8 Setumo 20,8 Gauteng Roodeplaat 41,2 Bronkhorstspruit 57 Limpopo De Hoop 348,7 Glen Alpine 18,9 Mpumalanga Heyshope 445 Ohrigstad 13,5 KwaZulu Inanda 237,5 Klipfontein 18,1 Natal Eastern Cape Mthatha 224,7 Darlington 180,9 Use TABLE 3 to answer the questions that follow. 5.1.1 Identify the fullest dam with the maximum capacity. (2) 5.1.2 Calculate the difference between the highest fullest dam and the highest emptiest dam. (3) 5.1.3 Calculate the mean emptiest dam capacity. (3) 5.1.4 Write down the name(s) of the emptiest dams with less than twenty million cubic metres. (2) 5.1.5 Determine the range capacity for the fullest dams. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2017) 5.2 Study TABLE 4 that shows the number of absent Grade 11 learners at Siyo High School and answer the questions that follow. TABLE 4: Number of Grade 11 absentees for two weeks: Week 1 4th 5th 6th 7th 8th dates No. of absent 22 1 2 4 18 learners Week 2 dates 11th 12th 13th 14th 15th Number of absent 8 12 3 5 14 learners 5.2.1 Identify the week which had the highest number of absentees. (2) 5.2.2 Use a bar graph to represent the number of learners who were absent in Week 2. (5) 5.3 Bathandwa had a bag with eighteen balls. Three balls were white, five green and the rest were blue. 5.3.1 Determine the probability that the ball randomly selected from the bag was green. (2) 5.3.2 Express the probability of randomly selecting a blue ball from the bag as a percentage. Your answer should be rounded off to two decimal places. (3) [24] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2017) MATHEMATICAL LITERACY P1 13 ANSWER SHEET NAME OF LEARNER: GRADE 11: _________ QUESTION 5.2 Grade 11 absent learners during the 2nd week of September 2017 16 14 12 Number of absent learners 10 8 6 4 2 0 11th 12th 13th 14th 15th 2nd week of September 2017 Copyright reserved Please turn over