Mathematical Literacy Grade 11 P2 2018 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2018 MATHEMATICAL LITERACY P2 MARKS: 100 TIME: 2 hours *imlit2* This question paper consists of 9 pages and an addendum of 4 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2018) INSTRUCTIONS AND INFORMATION Read the following instructions carefully before answering the questions. 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ADDENDUM with ANNEXURES for the following questions: ANNEXURE A for QUESTION 2.2 ANNEXURE B for QUESTION 3 ANNEXURE C for QUESTION 4.2 ANSWER SHEET 1 for QUESTION 2.2.3 Write your name in the space provided on the ANSWER SHEET and hand in the ANSWER SHEET with your ANSWER BOOK. 3. Number the questions correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. An approved calculator (non-programmable and non-graphical) may be used, unless stated otherwise. 6. Show ALL calculations clearly. 7. Round off ALL final answers appropriately accordingly to the given context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Maps and diagrams are NOT drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2018) MATHEMATICAL LITERACY P2 3 QUESTION 1 1.1 Mrs Day has a laundry business in town and charges: x R16 per kg washing and drying x R3 for Staysoft (fabric softener) per 5 kg x R25 per kg for hand wash with Staysoft (fabric softener) x R20 per 5 kg for ironing 1.1.1 How much will a person with 18 kg of washing pay for washing and drying with Staysoft (fabric softener) and ironing? (5) 1.1.2 A family has a helper coming on Mondays and Fridays for the month shown below for washing. They pay the helper R150 per day for washing and drying without ironing. Use the calendar for March 2018 to answer the questions. (a) The family claims that if they can take their washing every Friday to the laundry for washing and drying with Staysoft (fabric softener), instead of hiring a helper, they could save R70 per month. Verify, showing all calculations, whether their claim is valid if they have an average of 15 kg of washing and drying and 2 kg of hand wash for Fridays in March 2018. (8) (b) Calculate the probability of having a Friday in March with a date as an even number. Give your final answer as a percentage to one decimal place. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2018) 1.2 To cater for hand washing and to save water, the laundry uses water collected from rain and stored in cylindrical storage containers, as shown in the figure below. They have 10 such containers. 50 cm 70 cm 1.2.1 Show, with calculations, whether the 10 containers can fit on the floor of a storeroom which is 3 m by 2,5 m. (5) 1.2.2 For hand washing, they use 100 litres of water per 25 kg of washing. The average of hand washing is 30 kg per day. You may use formula: Volume of cylindrical container = π × radius × radius × height; where π = 3,142 Given that 1 litre = 1 000 cm3 (a) Calculate the capacity of the container as shown in the diagram. (3) (b) The supervisor claims that five containers of water will be enough for 5 days. Verify with calculations, whether the claim is valid or not. (5) 1.2.3 Provide ONE possible reason why some clothes are hand washed. (2) [31] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2018) MATHEMATICAL LITERACY P2 5 QUESTION 2 2.1 A printing company has employed people for typing and editing material to be used in workshops. They are paying the editors R97 to edit one document. For typists, they use the following formula: ࢔࢕࢘࢓࢚࢏࢓ࢋ Amount paid for typist = × rate × number of documents typed ૟૙ NOTE: Norm time is the time in minutes spent on typing and is 28 minutes per document. The rate is R195 per document. The employer is claiming that he is paying an editor 5% more than a typist for every 100 documents edited. Verify, with calculations, whether the statement is valid or not. (8) 2.2 Use ANNEXURE A that shows the information on the amount of sugar in different types of drinks. 2.2.1 Determine the range of the number of grams of sugar for all the 330 mκ drinks. (3) 2.2.2 In a hotel, guests are allowed two drinks per person. One guest has a Play energy drink and a Powerade. Another guest has an Appletiser and a Coca- Cola. The guest drinking the energy drinks, claims she is taking 2 teaspoons of sugar less than the other guest. Verify, with calculations, whether the statement is valid or not. (6) 2.2.3 Use the ANSWER SHEET provided, and draw a bar graph showing the amount in grams for the following drinks only: (a) Bonaqua flavoured water (b) Glaceau Vitamin water (c) Sparletta Iron Brew (d) Fanta Orange (e) Coca-Cola (5) [22] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2018) QUESTION 3 3.1 Use the distance table in ANNEXURE B to answer the following questions. 3.1.1 A couple is travelling from Durban to Nelspruit at a speed of 110 km per hour. How long will this journey take them? Give your final answer to the nearest hour and minute. You may use the following formula: ࡰ࢏࢙࢚ࢇ࢔ࢉࢋ ࡿ࢖ࢋࢋࢊ ൌ (6) ࢀ࢏࢓ࢋ 3.1.2 Determine the median distance between Pretoria and all the other towns and cities. (4) 3.1.3 Calculate the difference between the mean distance for all towns to Pretoria and the mean distances for all towns to Port Elizabeth. (7) 3.1.4 To travel by bus, cost 70c per km. Calculate how much a person will pay for transport from Bloemfontein to Cape Town. Give your final answer rounded off to the nearest rand. (3) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2018) MATHEMATICAL LITERACY P2 7 QUESTION 4 4.1 A netball court with dimensions of the centre circle and semi-circles at the extreme ends are given in the diagram below. The netball court has the following dimensions: Length of the court = 30,5 m Breadth of the court = 15,25 m Diameter of centre circle = 0,9 m Radius of semi-circle = 4,9 m Calculate the difference between the area of the centre circle and the area of one of the semi-circles at the extreme ends of the netball court. You may use the following formulae: Area of circle = ࣊ ൈ ‫ ܛܝܑ܌܉ܚ‬ൈ ‫ܛܝܑ܌܉ܚ‬ ࣊ൈ࢘ࢇࢊ࢏࢛࢙ൈ࢘ࢇࢊ࢏࢛࢙ Area of semi-circle = ; where ߨ = 3,142 (5) ૛ 4.2 ANNEXURE C shows the seating plan of a school hall. Use the seating plan to answer the following questions. 4.2.1 After the match, the school has an entertainment activity for the guests in the school hall. How many seats are on the left side of the stage? (3) 4.2.2 Calculate the probability of having a row on the right side of the stage with 15 seats. (2) 4.2.3 The hall is sometimes used for hiring. The cost for seating in the middle of the hall is 8% more than the seats on the left and right side of the hall. For a certain function, the tickets are R150 for a seat on the sides of the hall. The board claims that if all seats are occupied, they will be able to collect more than R100 000. Verify, with calculations, whether the statement is valid or not. (8) Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P2 (EC/NOVEMBER 2018) 4.3 TABLE 1 below shows the number of learners at Komga High School in Grade 10, 11 and 12. TABLE 1 Grade Boys Girls Total 10 73 85 158 11 A 73 137 12 54 45 99 Total 191 203 B 4.3.1 Calculate the number of boys in Grade 11 as a percentage of the total number of learners. (5) 4.3.2 Describe the trend and give a possible reason for the trend observed in the total number of learners from Grade 10 to Grade 12. (4) [27] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2018) MATHEMATICAL LITERACY P2 9 ANSWER SHEET for QUESTION 2.2.3 NAME and SURNAME: …………………………………………………………………………. GRADE 11: ….. Amount of sugar in grams for different drinks 45 40 35 30 Amount of sugar in grams 25 20 15 10 5 0 Bonaqua Flavoured Glaceau Vitamin Sparletta Iron Brew Fanta Orange Coca-Cola Water Water Different Drinks Copyright reserved Please turn over

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