GRADE 11 NOVEMBER 2015 MATHEMATICAL LITERACY P1

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NATIONALSENIOR CERTIFICATEGRADE 11NOVEMBER 2015MATHEMATICAL LITERACY P1MARKS:100TIME:2 hoursThis question paper consists of 16 pages including 1 answer sheetand 2 annexures.

2MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)INSTRUCTIONS AND INFORMATION1.This paper consists of FIVE questions. Answer ALL the questions.QUESTION 3.1.3 must be answered on the ANSWER SHEET.Use ANNEXURE A to answer QUESTION 2.2 and ANNEXURE B toanswer QUESTION 4.2.Number your answers correctly according to the numbering system usedin the question paper.3.You may use an approved (non-programmable and non-graphical)calculator, unless stated otherwise.4.ALL calculations and steps must be shown clearly.5.Units of measurement must be indicated where applicable.6.Start EACH question on a NEW page.7.Write neatly and legibly.8.All answers must be rounded up, down or according to the context used,unless stated otherwise.Copyright reservedPlease turn over

(EC/NOVEMBER 2015)3MATHEMATICAL LITERACY P1QUESTION 11.1Anita runs a business and she wants to buy the cellphone for her personaluse. She visited two cellphone companies to compare the prices of thesame phone. The findings are listed in the tables below as follows:Nokia Lumia 630Company AR169 PM x 24R100 airtime PMPeak time SMS R0,50Off peak SMS R0,50Peak time calls R0,79Off peak calls R0,79Cash: R1 899Optional insurance@R55 per monthCompany BR169 PM x 2450 anytime minutes50 SMSes PM100 MB data PMPeak time SMS R0,80Off peak SMS R0,35Peak time calls R1,30Off peak calls R1,12Cash: R1 999Optional insurance@ R55 per monthOff peak: 20:00(06:59:59 (Monday to Friday)Peak time: 07:00–19:59:59 (Monday to Friday)Weekends: Friday 20:00–Monday 06:59:59 and Public holidays1.1.11.1.21.1.3Calculate the total cost of this cellphone from Company A for theduration of contract excluding calls and SMSes if she also tookinsurance.(4)Calculate the total cost of an 8 minute cellphone call fromCompany A made at 20:25 on a Friday.(2)Calculate how much will the cellphone following year fromCompany B cost in cash, if the inflation rate is 4,4% per year.(2)Copyright reservedPlease turn over

41.2MATHEMATICAL LITERACY P1Anita’s personal calls were recorded as follows for the first week of March2015.TimesDuration of a call1.2.11.2.21.2.3Peak18 calls at2 minutes percallOff peak15 calls at3 minutes percallSMSs25 SMSes off peak10 SMSes peakhourAll the calls and SMSes have been corrected to the nearestminute.NOTE:1.3(EC/NOVEMBER 2015)Calculate the total amount she will pay for the off peak SMSes forthe first week if she uses Company B.(2)Determine the ratio of the calls made during peak time, to that ofthe calls made during off peak time.(2)Determine the probability that the SMSes made by Anita are at offpeak time. Give your answer in its simplest form.(2)Anita joined a stokvel group of 8 women and started paying contributions inJanuary 2014 and each member has to contribute R400,00 a month. Eachmember had to raise an amount of R2 000,00 excluding monthlycontributions. They will share the money amongst each other on the 10th ofDecember 2014. The last month for contributions is November 2014. Ifyou borrow any amount the interest charged is 20% of the amount loandebt per month. The loan increases by the interest amount if not paid. Theinterest raised by a member from a loan will belong to her.1.3.11.3.21.3.3Anita took a loan of R1 525, 00 for two months. She did not paythe interest in the first month. Calculate the total interest amountshe will have to pay at the end of two months.(2)Determine the total amount they will have as a group, includingAnita’s additional interest amount.(3)Calculate the total amount Anita will receive on the day they sharetheir money, including her own additional interest amount.(3)Copyright reservedPlease turn over

(EC/NOVEMBER 2015)1.45MATHEMATICAL LITERACY P1Anita saw a book from Ports SA advertising boat cruises. Hazel, herdaughter got it from the Marine Expo at the Mdantsane Indoor SportsCentre. She chooses the inside cabin price of the cruise from Barcelonato Venice. It is for 9 nights and the cost is from 1,587 to 4,760.1.4.11.4.2Calculate the maximum cost for cruising in an inside cabin of theship in rands. (1 R11,82.)There was a helicopter at the expo. It costs R1 571,05 for a30 minute flight excluding VAT. Calculate the cost of the flight foran hour including VAT.Copyright reserved(2)(3)[27]Please turn over

6MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 22.1Mr Mambo won a 68 km marathon from Bisho to East London in 2014.He was a member of Maxed Elite Running Club. He received a cashprize. In 2013 the winner completed the race in 3 hours 50 minutes and36 seconds.1.2.3.MaleMarko MamboElias MabanePeter MuthubiRunning ClubMaxed urce: Eastern Cape Today (10 October–17 October 2014)]2.1.12.1.22.1.3Write down the number that appeared on Mr Mambo’s runningshirt.(2)Convert Mr Mambo’s running time to hours. Give your answer tothe nearest hour.(3)Calculate Mr Mambo’s average speed in kilometres per hour.You may use the formula:Average speed Copyright reserved(3)Please turn over

(EC/NOVEMBER 2015)2.27MATHEMATICAL LITERACY P1Use ANNEXURE A to answer the following questions.2.2.12.2.22.2.3Write down the 47014 train arrival and departure times atSpringfontein.(2)Identify the station where train 73014 arrives during the first hourof the day.(2)Study the logo of the Passenger Rail Agency of South Africa asdisplayed below and answer the questions that follow.Sketch the logo of the Passenger Rail Agency of South Africa.250 cmRadius of a bigger circle 5 mRadius of a smaller circle 250 cmCalculate the area of the shaded part in m2.You may use the formula:Area of a circle Copyright reserved, where 3,142(5)[17]Please turn over

8MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 33.1Study the pie charts below and answer the questions that follow.FIGURE 1:PERCENT DISTRIBUTION OF FIVE LEADING CAUSESOF DEATH, BY AGE GROUP: UNITED STATES,PRELIMINARY 2011[Source: National Vital Statistics System: Mortality]3.1.13.1.23.1.33.1.43.1.53.1.6Determine the total number of people aged 25–44 dying fromaccidents.(2)Identify the causes of death amongst 1–24 year-old people thatare less than 10%.(2)Represent the percentages of causes of deaths for age group 25–44 years on a line graph. Use ANSWER SHEET 1 that isprovided.(6)Calculate the difference in the total number of deaths of the twoage intervals.(2)Identify the age interval that has high mortality percentage in heartdisease.(2)Give a reason why the accident percentage for the age group1–24 is higher than 25–44 age group.(2)Copyright reservedPlease turn over

(EC/NOVEMBER 2015)3.29MATHEMATICAL LITERACY P1The table below represents the 2014/15 National First Division results ofthe teams that play in it. Study the table below and answer the questionsthat follow.TABLE 1: NATIONAL FIRST DIVISION TEAMS AND THEIR RESULTSTeamsPWDLGDPoints1.Golden Arrows291512220572.Jomo Cosmos29148722503.Black Leopards29146911484.Thanda Royal Zulu FC29138814475.Cape Town All Stars29121168476.Milano United2991557427.Vasco da Gama2991283398.FC Cape Town2991280399.Baroka FC299101053710. Royal Eagles2910712 -123711. Highlands Park291061303612. African Warriors299911-93613. Santos2910613 -113614. Witbank Spurs2971012 -103115. Garankuwa United295717 -182216. Maluti FET College295519 -3020P PlayedD DrawnGD Goal DifferenceD DrawnL Lost[Source: www.kickoff.com/mobile]3.2.1Calculate the average points won by the listed teams.(3)3.2.2Determine the mode total of the points earned by these teams.(2)3.2.3Identify the team that has the least points on the table.Copyright reserved(2)[23]Please turn over

10MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 44.1The learners enjoy the bus ride every morning when going to schoolprovided by the Department of Transport (Scholar Transport). Study thediagram showing the seating arrangement inside the school bus.FIGURE 2: SEATING PLAN INSIDE A SCHOOL BUSN4.1.1Calculate the number of passenger seats displayed inside the bus.(2)4.1.2On the first day the learners were given tickets in order to get to thebus. Nandi came late carrying a ticket B14. Give Nandi directionsto get to her seat as she enters the door.(3)Soso left his books in the fourth row on the western side of the seat(next to the window). Identify the seat number where Soso’s booksare.(2)4.1.3Copyright reservedPlease turn over

(EC/NOVEMBER 2015)4.211MATHEMATICAL LITERACY P1Use the map in ANNEXURE B to answer the questions that follow.4.2.1Identify the type of map displayed in ANNEXURE B.(2)4.2.2Calculate the distance between Polokwane and Hammanskraal.(2)4.2.3One road will let you pass through the most number of toll plazassymbols (t) between Johannesburg and Beitbridge. Name theroad and the number of toll gates.(2)4.2.4Give the compass direction to Centurion from Devon.Copyright reserved(2)[15]Please turn over

12MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 55.1Thabo sees an advertisement for a fridge at Bill’s Furniture Shop andwants to buy it. He has R5 100, 45 in his bank account.Cash Price: R4 799,00Hire Purchase:Deposit: R479,90 andpay the balance over 24months.5.1.1Identify the capacity of the advertised fridge in milliliters.(3)5.1.2Write down the meaning of “interest rate”.(2)5.1.3Calculate the amount Thabo owes the furniture shop after thedeposit has been paid.(2)Calculate the total interest Thabo will pay, if Bill’s Furniture Shopcharges simple interest at a rate of 21,75% per annum on thebalance after the deposit has been paid.(3)5.1.4Copyright reservedPlease turn over

5.213MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)The following data was taken from 15 Grade 11 Mathematics LearnersSchool Based Assessment (SBA) mark in percentages.132Learners% 6715385.2.1Determine the SBA median percentage.(2)5.2.2Determine the interquartile range of the SBA percentages.(3)5.2.3Determine the probability that a learner randomly selected willhave a percentage of more than 40%. Give your answer in asimplified fraction.TOTAL:Copyright reserved(3)[18]100Please turn over

14MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)ANSWER SHEET 1NAME AND SURNAME:GRADE 11:Types ofdeath% deathAccidentscancerHeartdiseaseSuicideHomicide All other causesPercentages of 5 leading causes of deathCopyright reservedPlease turn over

(EC/NOVEMBER 2015)MATHEMATICAL LITERACY P115NAME AND SURNAME:GRADE 11:ANNEXURE ACopyright reservedPlease turn over

16MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)ANNEXURE B[Source: www.aa.co.za]Copyright reservedPlease turn over

NATIONALSENIOR CERTIFICATEGRADE 11NOVEMBER 2015MATHEMATICAL LITERACY xplanationMethodAccuracyConsistent accuracyReading from a table/Reading from a graph/Read from mapReading from the planSubstitution in a formulaSimplicationsPenalty (no units, incorrect rounding off etc.)OpinionJustificationRounding OffThis memorandum consists of 7 pages.

2MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 1QuestionSolutionExplanation1.1R169 x 24 R55 x 24R4 056 R1 320 R5 3762M1S1A(4)R0,79 x .3.11.3.21.3.3R1 999 R1 999 x 4,4% R1 999 R87,96 R2 086,96ORR1,999 x 0,144R2 086,86OR R1 999 x 1,044 R2 086,961M1S(2)R0,35 x 25 R8,751M1A(2)18:15 6:51M1A(2)25 5357 0,71 or 71% (Answer only – full marks)1M1AMonth 1: R1 525 x 20% R305,00Month 2: R1 830,00 x 20% R366,00Interest R366 R305 R671,00R400 x 11 x 8 R2 000 x 8 R671 R35 200 16 000 R671 R51 871,00R400 x 11 R2000 R671R4 400 R2 000 R671 R7 071,00OR R671 R7 071,00Copyright reservedMark 400 000(2)1M1S(2)2M1CAMultiplicationby differentnumber not 11(3)1M1S1S(3)Please turn over

(EC/NOVEMBER 2015)Question1.41.4.11.4.2SolutionR4 760 x 11,82 R56 263,20OR 4,760 x 11,82 56,26R1 571,05 x 114% OF R1 571,05 x 14%R1 790,997R219,95R1 790,997 x 2R1 571,05 R219,95 R3 581,99R1 571,05 R219,95ORR1 571,05 x 14% R 219,95 R1 571,05 R219,947 R1 790,997 x 2 R3 581,99ORR1 571,05 x 2 R3 142,10 x 114% R3 581,99Copyright reserved3MATHEMATICAL LITERACY P1Explanation1M1AMark(2)1M1S1A(3)[28]Please turn over

4MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 2QuestionSolutionExplanation2.12.1.1227RD2.1.27 60 0,1166666667 h5 (60 x 60) 0,00138888888 h4 h 0,1166666667 h 0,00138888888 h 4,118055556 hours 4 hours2M1S2.1.32.22.2.1(3)km/hour2SPenalise for unitArrival time– 18:56Departure time – 19:002RT2.2.2Bloemfontein2RT2.2.3Area of a bigger circle – Area of a smaller circle2(3)(2)23,142 x (5 m) – 3,142 x (2,5 m) 78,55 m2 – 19,6375 m2 58,91 m2(Accept 58,91 m2)Copyright reserved(2)1SAverage speed 16,5Marks(2)1F2SF1S1A(5)[17]Please turn over

5MATHEMATICAL LITERACY P1(EC/NOVEMBER 2015)QUESTION 3QuestionSolution3.1113 341 x 26% 113 341 x 0,26 29 468,66 29 469(2)(i) Cancer(ii) Heart disease(2)3.1.13.1.23.1.3Types ofdeath% uicideHomicide116All othercauses32 232% diseaseSuicideHomicideAll othercausesCauses of death1 mark for completing the table1mark for joining points with a straight line1 mark per three correctly plotted points2 marks for correctly labelling x-axis and y-axis3.1.4 1 mark 1 mark 2 marks 2 marks(6)113 341 – 39 213 74 1281M1A(2)3.1.525–44 years2RG(2)3.1.6They drive recklessly trying to impress thosepeople of their age about their driving skills. Theydo not concentrate on the road trying to greettheir friends walking on the street. 25–44 aremature enough and they are careful whendriving.(Accept any acceptable reasons.)2A(2)Copyright reservedPlease turn over

63.2MATHEMATICAL LITERACY P13.2.1(EC/NOVEMBER 2015)15 14 x 2 13 12 9 x 5 10 x 3 7 5 x 216 16016 101M1S(3)3.2.2Mode 362A(2)3.2.3Maluti FET 135 passengers2A4.1.2Get in and turn right. Walk straight orsouthwards and at the third row from theback next to the window will be your seat.Accept any relevant explanation.34.1.3A72A(2)4.2.1Strip Map2A(2)4.2.2430 – 2201M1S(2)2RM(2)2RM(2)[15]1SQUESTION 44.2OR 22 19 x 2 14 x 2 17 x 2 10 35 43 210 km4.2.3N1 or Road 14.2.4North westCopyright reserved 210 kmand 4 toll gatesMarks(2)(3)Please turn over

(EC/NOVEMBER 2015)7MATHEMATICAL LITERACY P1QUESTION 5QuestionSolutionExplanation5.1323 litres323 x 1 0001RD1C5.1.15.1.25.1.35.1.45.2.15.2.25.2.3 3 3ℓInterest rate is the rate at which interest ispaid or charged for the use of money.ORIt is percentage of the total amount paid over aperiod of time.2AR4 799,00 – R479,90 R4 319,101M1SR4 319,10 x (21,75 100 12) R4 319,10 x 0,018125 R78,2836875 x 24 R1 878,81ORR4 319,10 x (21,75 100) R939,40425 x 2 R1 878,81ORR4 319,10 x (21,71 100) x 2 R1 6;67Median 462AIQR 62 – 37 252CV1A1015 232M(3)(2)(2)1S(3)(2)(3)1A(3)[18]TOTAAL:Copyright reservedMarks100Please turn over

MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours This question paper consists of 16 pages including 1 answer sheet and 2 annexures. 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) . MATHEMATICAL LITERACY P1 MEMORANDUM MARKS: 100 Symbol Explanation M Method A Accuracy

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