Grade 12 NSC Mathematics Literacy P2 (English) X05 2019 Preparatory Examination Question Paper hlayiso.com

Downloaded from hlayiso.com GAUTENG DEPARTMENT OF EDUCATION PREPARATORY EXAMINATION 2019 10602 MATHEMATICAL LITERACY PAPER 2 MARKS: 150 TIME: 3 hours 10 pages + 2 answer sheets An Addendum of 4 pages is included as an insert in the question paper. P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 2 (Paper 2) 10602/19 GAUTENG DEPARTMENT OF EDUCATION PREPARATORY EXAMINATION MATHEMATICAL LITERACY (Paper 2) TIME: 3 hours MARKS: 150 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ADDENDUM as follows: Use ANNEXURE A for Question 1.3 Use ANNEXURE B for Question 3.1 Use ANNEXURE C for Question 4.2 Hand in the ANSWER SHEETS for Question 1.2 AND Question 3.3 with your ANSWER BOOK. 3. Number your answers correctly according to the numbering system used in this question paper. 4. Start EACH question on a NEW page. 5. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 6. Show ALL calculations clearly. 7. Round-off ALL final answers appropriately according to the given context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 3 (Paper 2) 10602/19 QUESTION 1 1.1 Pat and Muzi have decided to open a perfume gallery. They rented a shop at Mokopane mall. A fixed amount of R12 000 is paid annually for electricity usage. They buy cylinders of perfume and package the perfumes in 50 mƐERWWOHVZKLFKDUH filled up to 95% capacity. x Monthly rental fee is R3 800,00 x The empty bottles including the caps are sold in packs of 100 at R370,50. x The total annual cost of renting the label printing machine is R6 905,00 but is paid monthly. x The cost of a roll of self-adhesive paper labels is R65,00 and covers 50 bottles NB: All prices include 15% VAT. 1.1.1 Calculate the actual volume of the perfume in a 50 mƐ bottle. (2) 1.1.2 Calculate the number of bottles of perfume that can be filled using one 50 Ɛ cylinder. (3) 1.1.3 Determine the sum of monthly fixed costs. (2) 1.1.4 How many rolls of self-adhesive paper labels will be needed for 1 000 bottles of perfume? (2) 1.1.5 Calculate the amount of VAT charged on the label printing machine. (4) 1.1.6 Perfume is sold in a 50 ƐF\OLQGHUIRU5 000,00 and in a 30 ƐF\OLQGHUfor R35 250,00. (a) Which one of the refill perfumes will be cheaper? (5) (b) Muzi said it will cost them less than R70 000 to package the first 1 000 bottles within the first month if they buy the perfume in a 50 Ɛ cylinder. Verify his claim. (6) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 4 (Paper 2) 10602/19 1.2 Pat and Muzi relocated to Polokwane where they managed to build their own shop. They found a new factory which sells perfumes in smaller 10 Ɛcylinders for R3 000,00. They decided to buy these smaller cylinders and re-package them in bottles. They sell the perfumes in bottles of 100 for R4 700,00. 1.2.1 Show that the unit selling price of the perfume is R47,00. (2) 1.2.2 Write down an equation which can be used to calculate the income from the sale of perfumes in the form: Total Income (in Rand) = … (2) 1.2.3 ANSWER SHEET 1 has a graph showing the total cost for buying the first 900 bottles of perfume. On the same system of axes, draw the graph of the total income for these 900 bottles of perfume. (4) 1.2.4 Use the graph to explain the break-even point in the given context and write down the number of bottles and total income at this point. (4) 1.3 ANNEXURE A shows two types of graphs. The pie chart shows the percentages of different perfume sales for March to May. A total of 12 000 bottles of perfume was sold during this period. The incomplete bar graph shows ONLY the number of Fantasy perfumes sold for March and April. 1.3.1 Calculate the number of bottles of Fantasy perfume sold during this period. (5) 1.3.2 Pat claimed that more Fantasy perfumes were sold in May than in March. Verify his claim. (3) [44] P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 5 (Paper 2) 10602/19 QUESTION 2 2.1 Gladys is interested in buying a Ford car. She found the following information regarding the number of Ford cars sold in America in 2017 and 2018. TABLE 1 below shows the monthly sales (in thousands) of Ford cars in 2017 and 2018. TOTAL NUMBER OF CARS SOLD MONTH OF YEAR (IN THOUSANDS) 2017 2018 January 163,8 154,7 February 199,7 P March 226,7 235,0 April 205,0 196,1 May 230,8 233,1 June 218,7 221,1 July 191,3 186,1 August 201,2 209,5 September 213,4 189,2 October 191,5 185,0 November 201,9 P December S 209,2 [Adapted from fordauthority.com] 2.1.1 Calculate the value of P if the mean number of cars sold in 2018 is 199,5 thousand. (5) 2.1.2 (a) Determine the value of S, the maximum number of cars sold in 2017, if the range is 67,6 thousand. (4) (b) Calculate the median for the number of cars sold in 2017. (4) (c) Hence, use calculations to determine whether the interquartile range for cars sold in 2017 is less than or greater than 27 000. (6) 2.1.3 The marketing manager claimed that on average, the number of cars sold per month in 2018 is more than the number of cars sold per month in 2017. Verify his claim. (6) 2.1.4 Which measure of central tendency between the mode and the mean is the better representation of the set of data? (2) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 6 (Paper 2) 10602/19 2.2 The graph below indicates the inflation in selected food and drinks from February 2018 to February 2019. Study the graph below and answer the following questions. FOOD INFLATION FROM FEBRUARY 2018 TO FEBRUARY 2019 FOOD ONLY BREAD AND GRAIN PRODUCTS MEAT FISH MILK, CHEESE AND EGGS OILS AND FATS FRUITS VEGETABLES 2.2.1 The price of bread in February 2019 was R13,99. Determine what the cost of bread was in February 2018. (5) 2.2.2 Explain what -0,5% on the graph means in this context. (2) [34] P.T.O.

Downloaded from hlayiso.com PLEASE DETACH THIS ADDENDUM OF 4 PAGES. GAUTENG DEPARTMENT OF EDUCATION PREPARATORY EXAMINATION 2019 10602 MATHEMATICAL LITERACY ADDENDUM PAPER 2 4 pages P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 2 (Paper 2) ADDENDUM 10602/19 ANNEXURE A : QUESTION 1.3 PERCENTAGES OF PERFUMES SOLD FROM MARCH - MAY BLACK OPIUM OLYMPEA 19% 23% BUTTERFLY BLACK XS D% 18% ANGEL FANTASY 8% D% D represents unknown percentages of perfumes indicated in the pie chart Number of perfumes sold in a term 800 Number of Perfumes Sold 700 600 500 400 689 681 300 200 550 ? 100 0 March April May Term in months P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 3 (Paper 2) ADDENDUM 10602/19 ANNEXURE B: QUESTION 3.1 P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 4 (Paper 2) ADDENDUM 10602/19 ANNEXURE C : QUESTION 4.2 TAX TABLE FOR INDIVIDUALS TAX YEAR: MARCH 2018 – FEBRUARY 2019 Taxable income in ZAR Tax rate in ZAR 0 – 195 850 18% of taxable income 195 851 – 305 850 35 253 + 26% of taxable income above 195 850 305 851 – 423 300 63 853 + 31% of taxable income above 305 850 423 301 – 555 600 100 263 + 36% of taxable income above 423 300 555 601 – 708 310 147 891 + 39% of taxable income above 555 600 708 311 – 1 500 000 207 448 + 41% of taxable income above 708 310 1 500 001 and above 532 041 + 45% of taxable income above 1 500 000 Tax rebates Amount in ZAR Primary (age below 65) R14 067 Secondary (age 65 and over) R7 713 Tertiary (age 75 and over) R2 574 Monthly medical credits in ZAR Main member R310 First dependant R310 Each additional dependant R209 END

Downloaded from hlayiso.com MATHEMATICAL LITERACY 7 (Paper 2) 10602/19 QUESTION 3 3.1 Students from the University of Limpopo are undertaking a trip from Polokwane to Middelburg for in-service training. They have hired a bus from Mayi’s Luxury Bus Company. Professor Du Toit and Dr Nkomo are academic organizers for this in-service training. Study the map on ANNEXURE B and answer the following questions. 3.1.1 What is the general direction of Middelburg from Polokwane? (2) 3.1.2 Describe a detailed set of directions that they will take to travel from Polokwane to Middelburg, using national roads. (5) 3.1.3 Write ONE advantage of using the national roads. (2) 3.1.4 Use the bar scale on the map to calculate the actual distance that they travelled from Polokwane to Middelburg, as the crow flies. Write your answer in miles if 1 mile = 1,61 km (7) 3.1.5 The bus was travelling at an average speed of 120 km/h and they stopped twice for 20 minutes at each stop. Zinzi claimed that it will take them 3 hours, 47 minutes to reach Middelburg. Verify her claim. Use the formula : Distance = Average speed × time (6) 3.2 Mr Mayi, who is regularly in Liberia, deposits 65% of his income into his wife’s account. The company has paid him R13 500,00. 3.2.1 Apart from taking care of his basic needs, for what other reason do you think Mr Mayi keeps the 35% of his income? (2) 3.2.2 How much did he deposit into his wife’s account in Liberian dollars (LRD), if 1 LRD = 0,091 Rands? (4) 3.3 The bus stopped at Groblersdal for lunch and the following menu was served for lunch. The students had to choose one item from each category. Category 1 Starch Dumpling (D) Rice (R) Category 2 Salad Tuna salad (T) Potato salad (P) Category 3 Meat Beef stew(B) Mutton stew (M) 3.3.1 Complete the tree diagram on ANSWER SHEET 2 to show all possible outcomes of this event. (3) 3.3.2 Hence, determine the probability of choosing a meal with beef. (2) [33] P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 8 (Paper 2) 10602/19 QUESTION 4 4.1 Peter, the sales manager at HGM, and his team discussed strategies to improve their sales of perfume. They intend using four different strategies. 4.1.1 The first strategy is to package their perfume using a rectangular bottle and a cylindrical bottle. They have decided to price the bottles differently. The bottles will be filled to 95% capacity. The picture below shows the bottles and the dimensions of the bottles. Cylindrical bottle Rectangular bottle Diameter = 6 cm Length = 5 cm Breadth = 2 cm Height = 1,6 cm Height = 45 mm (a) Why are the perfume bottles not filled to 100% capacity? (2) (b) State, without any calculations and giving a reason for your choice, which bottle of perfume will be priced higher. (2) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 9 (Paper 2) 10602/19 (c) Use calculations to prove that if the volumes of the bottles are rounded-off to the nearest whole number, the capacity of the bottles is the same. Leave your answer in cubic centimetres. The following formulae may be used : Volume of a rectangular bottle = ε × ×   Volume of a cylindrical bottle = × ( ) ×   The value of = , (8) 4.1.2 The second strategy they discussed was to give a free gift of bath salts to customers who spent more than R500,00. Each bottle of bath salts will be filled using three measuring cylinders of equal dimensions as indicated below. 3 MEASURING CYLINDERS BOTTLE OF BATH SALTS Radius = 2,5 cm Height = 10 cm NB: 1 g = 1 cm3 = 1 ml The bottle of bath salts has a capacity of 600 g. Use calculations to show that the salt granules from three measuring cylinders will fit into the bath salts bottle. You may use the following formula: Volume of a cylindrical bottle = ×( ) ×   The value of = , (5) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 10 (Paper 2) 10602/19 4.1.3 The third strategy was to sell different types of perfumes with differing ratios of perfume : oil : alcohol. Ratio Type of perfume perfume : oil : alcohol EDT 5 : 90 : 5 EDP 12 : 85 : 3 The manager claimed that the difference in the amount of oil (rounded to the nearest unit) between the two types of perfumes in a 45 mƐERWWOH is, 3 mƐ Verify his claim by showing calculations? (6) 4.1.4 The last strategy is to have monthly competitions where customers can win prizes. The prizes are hidden behind the letters of the word “CONCENTRATION” and the chosen letter is not replaced. The chosen letter is then removed and cannot be chosen again. The first customer randomly chose the letter “R”. Determine the probability that the second letter chosen will be a “C”. (3) 4.2 Paul, who is 52 years old, is an employee at a Research Company. He earned an annual income of R338 000 for the 2018/2019 tax year. x He contributes 7,5% of his basic salary to the pension fund. x He also donates R46 800 per annum to a registered charity organisation. The donation is tax deductible. x He contributes R4 550 to the medical aid monthly, for himself and his 2 children. x ANNEXURE C is a tax table for individuals for the tax year: March 2018 – February 2019 Use ANNEXURE C to answer the following questions. 4.2.1 Show, using calculations, that his taxable income is R267 800,00. (5) 4.2.2 Determine his annual medical credits. (3) 4.2.3 Hence, calculate his annual income tax. (5) [39] TOTAL: 150 END

Downloaded from hlayiso.com MATHEMATICAL LITERACY 11 (Paper 2) 10602/19 ANSWER SHEET 1: QUESTION 1.2 NAME: __________________________________________________ GRADE 12: ______ INCOME AND EXPENDITURE GRAPHS 40 000 40000 35 000 35000 30 000 30000 25 000 AMOUNT IN RANDS 25000 20 000 20000 15 000 15000 10 000 10000 5 000 5000 00 0 100 100 200 200 300 400 400 500 600 700 700 800 900 900 11000 000 NUMBER OF PERFUMES

Downloaded from hlayiso.com MATHEMATICAL LITERACY 12 (Paper 2) 10602/19 ANSWER SHEET 2: QUESTION 3.3 NAME: __________________________________________________ GRADE 12: ______ D Meal R