Mathematical Literacy Grade 11 P1 2015 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2015 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours This question paper consists of 16 pages including 1 answer sheet and 2 annexures.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) INSTRUCTIONS AND INFORMATION 1. 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 to answer QUESTION 4. 2. Number your answers correctly according to the numbering system used in 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 reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 Anita runs a business and she wants to buy the cellphone for her personal use. She visited two cellphone companies to compare the prices of the same phone. The findings are listed in the tables below as follows: Nokia Lumia 630 Company A Company B R169 PM x 24 R169 PM x 24 R100 airtime PM 50 anytime minutes Peak time SMS R0,50 50 SMSes PM Off peak SMS R0,50 100 MB data PM Peak time calls R0,79 Peak time SMS R0,80 Off peak calls R0,79 Off peak SMS R0,35 Cash: R1 899 Peak time calls R1,30 Optional insurance Off peak calls R1,12 @R55 per month Cash: R1 999 Optional insurance @ R55 per month Off 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 holidays 1.1.1 Calculate the total cost of this cellphone from Company A for the duration of contract excluding calls and SMSes if she also took insurance. (4) 1.1.2 Calculate the total cost of an 8 minute cellphone call from Company A made at 20:25 on a Friday. (2) 1.1.3 Calculate how much will the cellphone following year from Company B cost in cash, if the inflation rate is 4,4% per year. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) 1.2 Anita’s personal calls were recorded as follows for the first week of March 2015. Times Peak Off peak SMSs Duration of a call 18 calls at 15 calls at 25 SMSes off peak 2 minutes per 3 minutes per 10 SMSes peak call call hour NOTE: All the calls and SMSes have been corrected to the nearest minute. 1.2.1 Calculate the total amount she will pay for the off peak SMSes for the first week if she uses Company B. (2) 1.2.2 Determine the ratio of the calls made during peak time, to that of the calls made during off peak time. (2) 1.2.3 Determine the probability that the SMSes made by Anita are at off peak time. Give your answer in its simplest form. (2) 1.3 Anita joined a stokvel group of 8 women and started paying contributions in January 2014 and each member has to contribute R400,00 a month. Each member had to raise an amount of R2 000,00 excluding monthly contributions. They will share the money amongst each other on the 10th of December 2014. The last month for contributions is November 2014. If you borrow any amount the interest charged is 20% of the amount loan debt per month. The loan increases by the interest amount if not paid. The interest raised by a member from a loan will belong to her. 1.3.1 Anita took a loan of R1 525, 00 for two months. She did not pay the interest in the first month. Calculate the total interest amount she will have to pay at the end of two months. (2) 1.3.2 Determine the total amount they will have as a group, including Anita’s additional interest amount. (3) 1.3.3 Calculate the total amount Anita will receive on the day they share their money, including her own additional interest amount. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 5 1.4 Anita saw a book from Ports SA advertising boat cruises. Hazel, her daughter got it from the Marine Expo at the Mdantsane Indoor Sports Centre. She chooses the inside cabin price of the cruise from Barcelona to Venice. It is for 9 nights and the cost is from $1,587 to $4,760. 1.4.1 Calculate the maximum cost for cruising in an inside cabin of the ship in rands. (1$ = R11,82.) (2) 1.4.2 There was a helicopter at the expo. It costs R1 571,05 for a 30 minute flight excluding VAT. Calculate the cost of the flight for an hour including VAT. (3) [27] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 2 2.1 Mr 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 cash prize. In 2013 the winner completed the race in 3 hours 50 minutes and 36 seconds. Male Running Club Time 1. Marko Mambo Maxed Elite 04:07:05 2. Elias Mabane Nedbank 04:10:16 3. Peter Muthubi Running 04:12:40 [Source: Eastern Cape Today (10 October–17 October 2014)] 2.1.1 Write down the number that appeared on Mr Mambo’s running shirt. (2) 2.1.2 Convert Mr Mambo’s running time to hours. Give your answer to the nearest hour. (3) 2.1.3 Calculate Mr Mambo’s average speed in kilometres per hour. You may use the formula: Average speed = (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 7 2.2 Use ANNEXURE A to answer the following questions. 2.2.1 Write down the 47014 train arrival and departure times at Springfontein. (2) 2.2.2 Identify the station where train 73014 arrives during the first hour of the day. (2) 2.2.3 Study the logo of the Passenger Rail Agency of South Africa as displayed below and answer the questions that follow. Sketch the logo of the Passenger Rail Agency of South Africa. 250 cm Radius of a bigger circle = 5 m Radius of a smaller circle = 250 cm Calculate the area of the shaded part in m2. You may use the formula: Area of a circle = , where = 3,142 (5) [17] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 3 3.1 Study the pie charts below and answer the questions that follow. FIGURE 1: PERCENT DISTRIBUTION OF FIVE LEADING CAUSES OF DEATH, BY AGE GROUP: UNITED STATES, PRELIMINARY 2011 [Source: National Vital Statistics System: Mortality] 3.1.1 Determine the total number of people aged 25–44 dying from accidents. (2) 3.1.2 Identify the causes of death amongst 1–24 year-old people that are less than 10%. (2) 3.1.3 Represent the percentages of causes of deaths for age group 25– 44 years on a line graph. Use ANSWER SHEET 1 that is provided. (6) 3.1.4 Calculate the difference in the total number of deaths of the two age intervals. (2) 3.1.5 Identify the age interval that has high mortality percentage in heart disease. (2) 3.1.6 Give a reason why the accident percentage for the age group 1–24 is higher than 25–44 age group. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 9 3.2 The table below represents the 2014/15 National First Division results of the teams that play in it. Study the table below and answer the questions that follow. TABLE 1: NATIONAL FIRST DIVISION TEAMS AND THEIR RESULTS Teams P W D L GD Points 1. Golden Arrows 29 15 12 2 20 57 2. Jomo Cosmos 29 14 8 7 22 50 3. Black Leopards 29 14 6 9 11 48 4. Thanda Royal Zulu FC 29 13 8 8 14 47 5. Cape Town All Stars 29 12 11 6 8 47 6. Milano United 29 9 15 5 7 42 7. Vasco da Gama 29 9 12 8 3 39 8. FC Cape Town 29 9 12 8 0 39 9. Baroka FC 29 9 10 10 5 37 10. Royal Eagles 29 10 7 12 -12 37 11. Highlands Park 29 10 6 13 0 36 12. African Warriors 29 9 9 11 -9 36 13. Santos 29 10 6 13 -11 36 14. Witbank Spurs 29 7 10 12 -10 31 15. Garankuwa United 29 5 7 17 -18 22 16. Maluti FET College 29 5 5 19 -30 20 P = Played D = Drawn GD = Goal Difference D = Drawn L = Lost [Source: www.kickoff.com/mobile] 3.2.1 Calculate the average points won by the listed teams. (3) 3.2.2 Determine the mode total of the points earned by these teams. (2) 3.2.3 Identify the team that has the least points on the table. (2) [23] Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 4 4.1 The learners enjoy the bus ride every morning when going to school provided by the Department of Transport (Scholar Transport). Study the diagram showing the seating arrangement inside the school bus. FIGURE 2: SEATING PLAN INSIDE A SCHOOL BUS N 4.1.1 Calculate the number of passenger seats displayed inside the bus. (2) 4.1.2 On the first day the learners were given tickets in order to get to the bus. Nandi came late carrying a ticket B14. Give Nandi directions to get to her seat as she enters the door. (3) 4.1.3 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 books are. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 11 4.2 Use the map in ANNEXURE B to answer the questions that follow. 4.2.1 Identify the type of map displayed in ANNEXURE B. (2) 4.2.2 Calculate the distance between Polokwane and Hammanskraal. (2) 4.2.3 One road will let you pass through the most number of toll plazas symbols (T) between Johannesburg and Beitbridge. Name the road and the number of toll gates. (2) 4.2.4 Give the compass direction to Centurion from Devon. (2) [15] Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 5 5.1 Thabo sees an advertisement for a fridge at Bill’s Furniture Shop and wants to buy it. He has R5 100, 45 in his bank account. Cash Price: R4 799,00 Hire Purchase: Deposit: R479,90 and pay the balance over 24 months. 5.1.1 Identify the capacity of the advertised fridge in milliliters. (3) 5.1.2 Write down the meaning of “interest rate”. (2) 5.1.3 Calculate the amount Thabo owes the furniture shop after the deposit has been paid. (2) 5.1.4 Calculate the total interest Thabo will pay, if Bill’s Furniture Shop charges simple interest at a rate of 21,75% per annum on the balance after the deposit has been paid. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 13 5.2 The following data was taken from 15 Grade 11 Mathematics Learners School Based Assessment (SBA) mark in percentages. Learners 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 % obtained 32 35 36 37 42 46 49 46 46 58 62 64 66 67 38 5.2.1 Determine the SBA median percentage. (2) 5.2.2 Determine the interquartile range of the SBA percentages. (3) 5.2.3 Determine the probability that a learner randomly selected will have a percentage of more than 40%. Give your answer in a simplified fraction. (3) [18] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com

Downloaded from hlayiso.com 14 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) ANSWER SHEET 1 NAME AND SURNAME: GRADE 11: Types of Heart death Accidents cancer disease Suicide Homicide All other causes % death Percentages of 5 leading causes of death Copyright reserved Please turn over

Downloaded from hlayiso.com

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 15 NAME AND SURNAME: GRADE 11: ANNEXURE A Copyright reserved Please turn over

Downloaded from hlayiso.com

Downloaded from hlayiso.com 16 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) ANNEXURE B [Source: www.aa.co.za] Copyright reserved Please turn over

Downloaded from hlayiso.com

Downloaded from hlayiso.com

Downloaded from hlayiso.com

Downloaded from hlayiso.com

Downloaded from hlayiso.com