Mathematical Literacy Grade 11 P2 2019 Memo

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Downloaded from hlayiso.com INSTRUCTIONS AND INF ORMATION TO CANDIDATES READ THESE INSTRUCTIONS CAREFULLY BEFORE ANSWERING THE OUESTIOINS > Answer all questions. > Answers and all working steps must have the appropriate units. > Answers only will not necessarily be awarded full marks. > Notall the diagrams, maps and plans are drawn to scale. > Show all necessary working. > Round off answers according to the given context or unless otherwise stated. > Write neatly and legibly. > An approved calculator (non programmable and non graphical) may be used.

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Downloaded from hlayiso.com 13 Mr. and Mrs. Jomo took the advice of their financial advisor and decided to repay the loan in 15 years. They further decided that once they paid back their home loan after 15 years, they will save an amount equal to the monthly repayments for the next 15 years. Bestinvest, an investment company, offered them an investment that would pay them 4% simple interest per annum based on the total amount invested over 15 years. 1.3.1 Using the monthly repayment for 15 years from 1.2.3 above, determine the total value of their investment after 15 years. (4) 1.3.2 Mr. Jomo bought a new car. His monthly repayment of the new car is R3 500 per month. Mr. Jomo receives a car allowance of R8 000 per month. His car allowance is taxed at 20% per month. Calculate the value of his car allowance after tax, and then determine how much of his car allowance will be left over for fuel and maintenance, after paying his car instalment. (5) [35] QUESTION 2 Mr. Jomo wants to build a trampoline for his children in the backyard of his new house in Johannesburg. He dug a hole with a diameter of 5m and a depth of 0.9m. The hole Jomo dug ESS 0.9m The dimensions of the hole Jomo dug

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ownloaded from hlayiso.com The safety net is sold in one linear metre lengths (and not part of a metre). Three height options are available. The height options with their prices is shown below: . Height Price 2m R 260.90/linear metre 3m R472.70/linear metre 4m R650.50/linear metre 2.3 Mr. Jomo is undecided whether to buy the 3m or the 4m safety net. Jomo’s wife claims that if he buys the 3m high safety net he would save more than R2 700. Verify whether Mrs. Jomo’s claim is true. ‘You may use the formula: Perimeter = Xd, whered = diameter and 1 = 3.142 (8) Mr. Jomo plans to make a bench on which to sit and watch his children while they played on the trampoline. He searched the Internet and found a simple bench that he could make. The dimensions however, where given in iches. ep eo Wooden garden bench that Jomo wants to make 2.4 In order for his children to sit on the bench as well, Jomo does not want the bench to be higher than 0.5 metre. Does the height on the diagram meet his requirement? You may use the conversion: | inch = 2.54 cm. (4) [20] QUESTION 3...

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321 3.2.2 B23 3.2.4 ISO.CO Number of push-ups Frequency 10-12 1 13-15 6 16-18 3 19-21 : 22 — 24 7 25-27 2) 28 — 30 1 Total 23 Represent the data in a bar graph. Use the answer sheet provided. Is it possible to calculate the mean, median or mode? Substantiate your answer. Determine the probability (as a common fraction) of choosing a person with more than 21 push-ups in 30 seconds. Determine the probability as a percentage of choosing a person from the modal class. QUESTION 4 Refer to ANNEXURE A and answer the questions that follow 4.1 4.2 43 44 Use the given bar scale on the map and determine the straight line distance, in kilometres, travelled by the Jomo family from Durban to Gauteng. Convert the bar scale of this map to a number scale. Show your workings. NB. Your number scale must be rounded off to the nearest 100 000. The actual distance from Durban to Pietermaritzburg is 77.8km. Mr. Jomo’s VW Caddy has a fuel tank capacity of 60 litres. His van consumes 8.2 litres per 100km. Determine the cost of petrol from Durban to Pietermaritzburg if petrol costs R15.28/1. Mr. Jomo was flagged down by a metro cop in Pietermaritzburg for speeding. He claimed that he was travelling within the average speed limit of 100km/h. He said that it took him 4 minutes and 30 seconds to cover a distance of 6 km. Verify, with calculations, whether his claim was correct. 6) (3) (2) (3) [30] (4) (3) (4) (4) 15]

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Name of Learner: Question 3.2.1 Downloaded from hlayiso.com Grade 11 Please detach and submit with your answer script. seconds Graph showing the number of Push-ups in 30 10-12 13-15 16 - 18 19-21 + 22-24 25-27 28 - 30 ‘ 10

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