Maths Lit P1 Qp June 2016 Eng hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 JUNE 2016 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours *MLITE1* This question paper consists of 14 pages, including 3 annexures and 1 answer sheet.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. 2. Answer ALL the questions. 3. Use the ANNEXURES to answer the following questions: ANNEXURE A for QUESTION 3.1 ANNEXURE B for QUESTION 3.2 (Table 1 and 2). ANNEXURE C for QUESTION 4.2 (Table 3) ANSWER SHEET 1 for QUESTION 5.1.2 Write your GRADE and your NAMES in the spaces provided on the ANSWER SHEET and hand it in with your ANSWER BOOK. 4. Number the questions correctly according to the numbering system used in this question paper. 5. Diagrams are NOT necessarily drawn to scale. 6. Round off ALL the final answers according to the context used, unless stated otherwise. 7. Indicate units of measurement, where applicable. 8. Start EACH question on a NEW page. 9. Show ALL calculations clearly. 10 Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 3 QUESTION 1 Mambo SSS, is a small private school in the Lady Frere area of the Eastern Cape. In 2015 it had a total of 167 registered learners that were as follows: GRADE GIRLS BOYS TOTAL 8 21 18 39 9 15 20 35 10 13 7 20 11 19 A B 12 25 17 42 TOTAL 93 74 167 Fees are payable according to the grade. A learner in Grade 8 or 9 paid R300 per month for the 11 months and in Grade 10–12 each learner paid R450 per month for 11 months (January–November). The School Governing Body (SGB) exempted a total of 8 learners in Grade 12 from paying school fees for the 2015 year. The exempted learners were in the ratio boys : girls = 1 : 3. At the April meeting of the SGB it resolved to increase the fees for Grade 8 and 9 by 5% and reduce the Grade 10–12 fees by 2,5%. The adjustments were effective from May 2015. 1.1 Determine the total school fees collected in January 2015 if all parents paid. (4) 1.2 Calculate the total school fees of the girls who were exempted would have paid in January 2015. (2) 1.3 Determine the monthly school fees payable by each learner in the school after the SGB meeting in 2015. (4) 1.4 Calculate the total school fees that were collected in 2015 if no parent defaulted on payment. (4) 1.5 An amount of R150 000 from the collected school fees in 2015 was invested in a fixed account with FNB. The investment attracts a simple interest rate of 9,5% per annum for the period January to December 2016. Work out the interest the school will earn from the investment. (2) 1.6 Calculate the value of A, the number of boys in Grade 11. (2) 1.7 Determine the probability of randomly selecting a Grade 11 learner from the school. Give your answer as a decimal. (2) [20] Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) QUESTION 2 Thabo bakes round biscuits known as-Rb for sale. He packs the biscuits in a cylindrical container made up of cardboard material. The diagram below shows the container and its dimensions. The diagram not drawn to scale. 𝑙𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑡ℎ𝑒 𝑐𝑦𝑙𝑖𝑛𝑑𝑒𝑟 (𝑙) = 270 𝑚𝑚 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟 (𝑑) = 90 𝑚𝑚 The following formulae may be used in answering the questions that follow. Area of the circle = 𝜋𝑟 2 ,where 𝜋 = 3,142 Total surface area = 2𝜋𝑟 2 + 2 𝜋𝑙 𝑟 Volume of the cylinder = 𝜋𝑟 2 𝑙 2.1.1 Calculate the total surface area of the cardboard package required to make one cylindrical container. (4) 2.1.2 The rectangular cardboard used to make the cylindrical containers, is bought at a price of R5 a piece measuring 120 cm by 60 cm. Work out the area of the rectangular cardboard in 𝑚𝑚2 . (3) 2.1.3 Use your answers in QUESTIONS 2.1.1 and 2.1.2 to determine the number of cylindrical containers that can be made from one piece of the cardboard. (3) 2.2 Thabo discovered that his tap was faulty and has been leaking water drops at a rate of one drop every 2 seconds. The water that was wasted, was a litre every 4 hours. Note: 1 k𝑙 = 1 000 𝑙; 1 𝑙 =1 000 𝑚𝑙; 1 𝑙 = 1 000 000 microlitres. 2.2.1 Calculate the number of drops of water that filled a litre container. Use the formula: 𝑺𝒆𝒄𝒐𝒏𝒅𝒔 𝒊𝒏 𝟏 𝒉𝒐𝒖𝒓 × 𝒏𝒐.𝒐𝒇 𝒉𝒐𝒖𝒓𝒔 𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒅𝒓𝒐𝒑𝒔 = (3) 𝒓𝒂𝒕𝒆 𝒐𝒇 𝒕𝒉𝒆 𝒅𝒓𝒐𝒑𝒔 2.2.2 Calculate the volume of one drop of water in microlitres. (2) 2.2.3 Work out the amount of water wasted from 01/01/2016 to 31/05/2016. Give your answer in litres. (3) [18] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 5 QUESTION 3 3.1 The floor plan of a house on sale in Johannesburg is shown on ANNEXURE A. Study the floor plan and the information given to answer the questions that follow. 1′ = 30,48 𝑐𝑚 1′′ = 2,54 𝑐𝑚 3.1.1 Determine the total number of doors that can be seen on the floor plan. (2) 3.1.2 Give the general direction of the bedroom measuring 11' × 10'4'' from the porch. (2) 3.1.3 Calculate the dimensions of the bedroom measuring 11'× 10'8'' in metres. (4) 3.1.4 The floor plan was drawn using a scale of 1,5 cm on the floor plan to represent 3,375 m on the actual building. Determine the scale used in the form of 1 : … (3) 3.2 Use Tables 1 and 2 in ANNEXURE B to answer the following questions. 3.2.1 Mr Dan departed on Friday from East London to meet an agent in Johannesburg on Saturday at 11:15 am as per arrangement. Write down the departure time from East London and arrival time in Johannesburg. (2) 3.2.2 Identify the station where Shosholoza-Meyl train stopped for the longest duration. (2) 3.2.3 The total time spent at the stations during the journey was 3 hours and 33 minutes. Calculate the average speed of the journey (East London–Johannesburg). Give your answer in Km/h. You may use the following formula: 𝒅𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝑨𝒗𝒆𝒓𝒂𝒈𝒆 𝒔𝒑𝒆𝒆𝒅 = 𝒕𝒊𝒎𝒆 𝑻𝒊𝒎𝒆 = 𝑫𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒃𝒆𝒕𝒘𝒆𝒆𝒏 𝒂𝒓𝒓𝒊𝒗𝒂𝒍 𝒕𝒊𝒎𝒆 𝒂𝒏𝒅 𝒅𝒆𝒑𝒂𝒓𝒕𝒖𝒓𝒆 𝒕𝒊𝒎𝒆 − 𝒕𝒐𝒕𝒂𝒍 𝒕𝒊𝒎𝒆 𝒔𝒑𝒆𝒏𝒕 𝒂𝒕 𝒕𝒉𝒆 𝒔𝒕𝒂𝒕𝒊𝒐𝒏𝒔 (4) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) QUESTION 4 4.1 The diagram below shows the Weight-for-age growth chart for boys from birth to 2 years. Use the growth chart to answer the questions that follow. GROWTH CHART FOR BOYS [Source: www.growthscharts.com] 4.1.1 Explain what it means if the baby’s weight-for-age relationship is on the 85th percentile curve. (2) 4.1.2 Determine the weight of an 11-month-old baby whose weight-for- age relationship is on the 50th percentile curve. (2) 4.1.3 Consider a 18-month-old baby with a weight of 11 kg: (a) On which percentile curve is this baby’s weight-for-age relationship? (2) (b) Calculate the body mass index (BMI) for this baby if he is 80 centimetres tall. Weight ( in ki log ram ) Use the formula: BMI = ( Height in metres ) 2 (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 7 4.2 The 2015 National Senior Certificate (NSC) results that was released showed a decrease in national achievement from 75,8% in 2014 to 70,7% in 2015. However there was an increase of 117 798 learners achieving a NSC qualification in 2015 compared to 2014. TABLE 3 on ANNEXURE C shows the 2015 NSC ACHIEVEMENT BY TYPE OF QUALIFICATION. Use the information on ANNEXURE C to answer the following questions. 4.2.1 Calculate the total national number of learners that achieved a NSC qualification in the 2014 examinations. (2) 4.2.2 Determine the total national number of learners that did not achieve a NSC qualification in the 2015 NSC examinations. (2) 4.2.3 Calculate the value of A, the percentage of learners who qualified for admission to study for a Bachelors’ degree in 2016. (2) 4.2.4 Show how the 23,0% for Diploma achievement for the Eastern Cape was calculated. (3) 4.2.5 Arrange the percentages (%) of the overall achievement of the provinces in ascending order and identify the province occupying the median position. (3) 4.2.6 Determine the probability of a learner from the Gauteng Province achieving a NSC qualification in 2015. Give your answer in a decimal form to 3 decimal places. (2) [23] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) QUESTION 5 5.1 Jane, a learner from Mambo SSS sells fat cakes her mother bakes at home. She calculated the cost of the ingredients that is needed to make one fat cake as follows: INGREDIENT COST Bread flour 0,70 Sugar 0,75 Salt 0,05 Instant yeast 0,20 Water 0,05 Oil for deep frying 0,50 The mother is charging her R0,25 for labour for every fat cake sold. She sells each fat cake at R3,00 as a zero rated item. Jane hires a space at school for R50 per month from where she sells her fat cakes. Use the above information to answer the following questions: 5.1.1 Calculate the variable cost for making one fat cake. (2) 5.1.2 The table below shows information for the income and expenses for fat cakes TABLE 4: Income and expenditure for Jane’s fat cakes No. of fat 0 30 60 90 120 150 cakes (n) Total cost (R) 50 125 200 275 350 425 Income(R) 0 90 180 270 360 450 Use the information from the above TABLE to draw a straight line graph that represents the cost in ANSWER SHEET 1. (3) 5.1.3 Using the graph or otherwise determine the number of fat cakes she must sell to breakeven. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 9 5.2 Jane was chosen to visit Japan on a student entrepreneurship exchange programme during July holiday of 2016. She read from internet that the smallest form of the Japanese currency is a 1 yen coin. She exchanged R925 for Japanese yen. Yen( ¥) 1 = Rand (R) 0,13 Use the given exchange rate to determine how many yen (¥) she will receive from changing her Rand value (2) 5.3 Mr Tawi is tired of renting and would like to buy a house in East London valued at R880 000 this year. The bank he approached offered him a home loan of R748 000. He was provided with a factor table as shown below to use in calculating his monthly repayment. HOMELOAN REPAYMENT FACTOR TABLE Interest rates Term 7% 8% 9% 10% 11% 12% 13% 20 years 7,75 8,36 9,00 9,65 10,32 11,01 11,72 25 years 7,07 7,72 8,39 9,09 9,80 10,53 11,28 30 years 6,65 7,34 8,05 8,78 9,52 10,29 11,05 He decided to repay the loan over a 25 year period at an interest rate of 12% p.a. compounded monthly. Use the information and the above table to answer the questions that follow. 5.3.1 Determine his monthly repayment. You may use the following formula: 𝐀𝐦𝐨𝐮𝐧𝐭 𝐠𝐫𝐚𝐧𝐭𝐞𝐝 Monthly repayment = × 𝒇𝒂𝒄𝒕𝒐𝒓 (2) 𝟏 𝟎𝟎𝟎 5.3.2 Calculate what the price for this house was in 2015 if the current inflation rate is 5,7% (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) 5.4 The results of the controlled test in March 2016 for the Grade 12 Mathematical Literacy learners at Mambo SSS are listed below: 38 54 20 61 60 21 31 54 65 76 48 60 5 22 63 17 15 66 54 59 73 31 98 26 42 67 8 5 46 54 Use the above table of results to answer the questions that follow. 5.4.1 Identify the mark that represents the mode of the class performance. (2) 5.4.2 Determine the range of the performance of this class. (2) 5.4.3 The Curriculum and Assessment Policy Statement (CAPS) has a seven point scale to rate a learner’s performance as follows: Rating Code Description of competence Percentage 7 Outstanding achievement 80%–100% 6 Meritorious achievement 70%–79% 5 Substantial achievement 60%–69% 4 Adequate achievement 50%–59% 3 Moderate achievement 40%–49% 2 Elementary achievement 30%–39% 1 Not achieved 0–29% Determine the probability that a learner randomly chosen has obtained substantial achievement. (2) [20] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 11 ANNEXURE A: PLAN OF A HOUSE QUESTION 3.1 KEY : (SYMBOLS) window Door CONVERSION TABLE 1 inch (1'') = 2,54 cm 1 foot (1') = 30,48 cm 1 m = 100 cm Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/JUNE 2016) ANNEXURE B: QUESTION 3.2 TABLE 1: Shosholoza-Meyl Train schedule Johannesburg – East London East London – Johannesburg (Wednesday, Friday and Sunday Service) (Wednesday, Friday and Sunday Service) Station Class available Day Arr. Dep. Station Class available Day Arr. Dep. Johannesburg Sleeper/Sitter Day 1 17:30 East London Sleeper/Sitter Day 1 09:00 Vereeniging Sleeper/Sitter Day 1 19:00 19:20 Queenstown Sleeper/Sitter Day 1 13:05 13:26 Kroonstad Sleeper/Sitter Day 1 21:42 21:50 Burgersdorp Sleeper/Sitter Day 1 16:00 18:28 Bloemfontein Sleeper/Sitter Day 2 00:32 00:55 Bloemfontein Sleeper/Sitter Day 1 21:36 21:56 Burgersdorp Sleeper/Sitter Day 2 06:17 06:34 Kroonstad Sleeper/Sitter Day 2 00:51 01:10 Queenstown Sleeper/Sitter Day 2 08:58 09:12 Vereeniging Sleeper/Sitter Day 2 03:20 03:25 East London Sleeper/Sitter Day 2 13:25 Johannesburg Sleeper/Sitter Day 2 05:00 TABLE 2: Distances between the major towns: The distances given below are for the shortest possible routes Town A to Town B Distances (km) Cape Town–Johannesburg 1 405 Cape Town–Durban 1 660 East London–Cape Town 1 042 Cape Town–Port Elizabeth 756 Cape Town–Bloemfontein 998 Cape Town–Upington 821 Johannesburg–Durban 598 East London– Johannesburg - 992 Johannesburg–Polokwane 331 [Source: Shosholoza-Meyl route service] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 13 NAME: ANSWER SHEET 1 QUESTION 5.1.2 INCOME AND EXPENDITURE FOR JANE’S FAT CAKE SALES Copyright reserved Please turn over

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Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P1 14 ANNEXURE C QUESTION 4.2 TABLE 3: 2015 NSC ACHIEVEMENT BY TYPE OF QUALIFICATION PROVINCE TOTAL Bachelor Diploma Higher Certificate WROTE Achieved % Achieved % Achieved % TOTAL % Achieved Achieved Achieved Achieved Achieved EASTERN 87 090 15 291 17,6 20 055 23,0 14 119 16,2 49 475 56,8 Some information omitted CAPE FREE STATE 31 161 9 277 29,8 11 026 35,4 5 102 16,4 25 416 81,6 GAUTENG 108 442 38760 35,7 37 375 34,5 15 191 14,0 91 327 84,2 KWAZULU 162 658 34 751 21,4 39 799 24,5 24 180 14.9 98 761 60,7 NATAL LIMPOMPO 101 575 20 992 20,7 25 434 25,0 29 513 20,2 66 946 65,9 MPUMALANGA 54 980 13 497 24,5 18 675 34,0 11 046 20,1 43 229 78,6 NORTH WEST 33 286 8 865 26,6 11 554 34,7 6 699 20,1 27 118 81,5 NORTHERN 11 623 2 451 21,1 3 306 28,4 2 306 19,8 8 064 69,4 CAPE WESTERN 53 721 22 379 41,7 16 496 30,7 6 614 12,3 45 489 84,7 CAPE NATIONAL 644 536 A 183 720 28,5 105 770 16,4 455 825 70,7 [Source: National Senior Certificate Examination Report 2015: Technical Report 2015] Copyright reserved

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