Mathematical Literacy Grade 12 P1 NSC November 2021 QP (Eng)

Downloaded from hlayiso.com_ \ Wong 2 =p lve basic education y y Department: (Gy Basic Education INE REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 12 GSSSSSSS SSS SS SHS SS SSSR HRT SR ESSERE RRR eee, a MATHEMATICAL LITERACY P1 " i NOVEMBER 2021 A MARKS: 150 TIME: 3 hours This question paper consists of 14 pages, 1 answer sheet and an addendum with 3 annexures. Copyright reserved Please turn over |

Downloaded from hlayiso.com Mathematical Literacy/P 1 2 DBE/November 2021 NSC INSTRUCTIONS AND INFORMATION 1, This question paper consists of FIVE questions. Answer ALL the questions. 2. 2.1 Use the ANNEXURES in the ADDENDUM to answer the following questions: ANNEXURE A for QUESTION 2.2 ANNEXURE B for QUESTION 3.2 ANNEXURE C for QUESTION 4.3 2.2 Answer QUESTION 4.2.2 on the attached ANSWER SHEET. 2.3 Write your centre number and examination number in the spaces provided on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK. 3. Number the 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. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/November 2021 NSC QUESTION 1 Ll TABLE 1 below shows the fuel price (in US dollars) in six African countries on 05/06/2019 and 01/03/2021 with the exchange rate per currency on 01/03/2021. TABLE 1: FUEL PRICE (IN US DOLLARS) IN SIX AFRICAN COUNTRIES COUNTRY FUEL PRICE CURRENT DOLLAR IN USS EXCHANGE 05/06/2019 01/03/2021 RATE/CURRENCY ON 01/03/2021 South Africa 1,04 1,061 R15,36 Angola 0,47 0,254 626,41 Angolan kwanzas Zimbabwe 0,80 1,258 $1,258 Namibia 0,88 0,796 15,36 Namibian dollars Swaziland 0,86 0,87 15,35 Swazi emalangeni Botswana 0,84 0,732 11,14 Botswana pulas [Adapted from www.globalpetrolprices.com] Use TABLE 1 to answer the questions that follow. 1.1.1 1.1.2 Copyright reserved Calculate the fuel price increase for Zimbabwe from 05/06/2019 to 01/03/2021. Write down the current exchange rate of the Botswana pula to the US dollar in the following format: 1 Botswana pula = ... US dollars Identify the countries which showed a decrease in the fuel price from 05/06/2019 to 01/03/2021. Arrange, in descending order, the fuel price in US$ for 01/03/21. The probability of randomly selecting a country that is not South Africa 5 is —. 6 Write this probability in decimal form rounded to THREE decimal places. Please turn over (2) 2) 2) (2) (2)

Downloaded from hlayiso.com Mathematical Literacy/P1 4 DBE/November 2021 NSC 1.2 | The graph below indicates the energy sources used for cooking in different provinces. 100 PERCENTAGE nn i—} 1 DIFFERENT ENERGY SOURCES USED FOR COOKING Western Cape | ee - &@ 2 @ $ F & 2 oO 8&8 a &£ Ss = a g FI 9 D | a oS f=] 5 5 zr 6 —z OO g 4 a i a S 3 a z z & 2) 3 § = 4 x PROVINCES § Other Wood @ Paraffin OGas GElectricity | [Adapted from www.statssa.gov.za Use the graph above to answer the questions that follow. 1.2.1 1.2.2 1.2.3 1.2.4 Copyright reserved Identify the source of energy that is mostly used for cooking. Name the province that uses the most wood for cooking. (2) (2) The price of paraffin fluctuates. On 3 February 2021 the price was 764,59 c/f. (a) | Write down (in rand) the cost of ONE litre of paraffin. (b) Determine, to the nearest rand, the cost of 12,5 £ of paraffin. 2) (2) Name another form of energy that could be used for cooking which could fall under the 'Other' category. (2) Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 5 DBE/November 2021 NSC 1.3 The following questions were taken from a company's information sheet: A. How many hours per day do you spend reading? B. How many books have you read in the last 16 weeks? C. How many books have you bought in the last 3 months? D. Were the books you bought hard copies or soft copies? E. Do you believe that we should pay 15% VAT on book prices? [Adapted from www.developingquestions.co.za] Study the information above and answer the questions that follow. 1.3.1 Identify the data collection instrument that was used to collect the above information. Q) 1.3.2 Name the next step in the data cycle after the instrument has been completed and collected. (2) 1.3.3 State whether the choices given for question D represent categorical or numerical data. (2) 1.3.4 Write the acronym VAT in full. (2) 1.3.5 Give an example of a business that will find the above data useful. (2) [30] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 6 DBE/November 2021 NSC QUESTION 2 2.1 Mrs Smith would like to buy a car but does not have the full cash amount. She downloaded TWO payment options for TWO different cars as shown in TABLE 2 below. TABLE 2; PAYMENT OPTIONS FOR TWO DIFFERENT CARS ITEM FORD FIGO VW POLO Retail price/Cash price (including VAT) R215 100 R220 300 Deposit 5% 0% Monthly instalment R2 999,00 R3 345,00 Residual value 30% R116 759 Monthly admin fee 0 (not included in monthly R69,00 2,08 % of the monthly ‘ instalment instalment) Term agreement 72, months 48 months VAT 15% 15% [Adapted from www.vw.co.za and www. ford.co.za] *Residual value is the last month's payment. Use TABLE 2 above to answer the questions that follow. 2.1.1 2.1.2 2.1.3 2.1.4 Copyright reserved State what type of payment option is shown in TABLE 2. Calculate the deposit amount for the Ford Figo. Write down (in simplified form) the ratio of the term agreement of the Ford Figo to the VW Polo. Which ONE of the two vehicles will be more cost effective in terms of monthly budget? Calculate the total cost of the VW Polo if the monthly instalment remained the same throughout the contract period, except for the final payment. You may use the following formula: Total cost = Total value of monthly instalments + admin fees + residual value Mrs Smith invested R60 000 at a bank for two years with compound interest. In the first year she received an interest rate of 4,3% per annum while in the second year the interest rate was 5,1% per annum. Mrs Smith stated that she would have enough money at the end of the second year to pay the residual value of the Ford Figo. Verify, showing ALL calculations, whether her statement is CORRECT. Please turn over Q) Q) (2) (2) (6) (8)

Downloaded from hlayiso.com Mathematical Literacy/P1 7 DBE/November 2021 NSC 2.2 [ ANNEXURE A shows an invoice of the cellphone contracts taken out by Mr Fortune. | Use ANNEXURE A to answer the questions that follow. 2.2.1 2.2.2 2.2.3 2.2.4 2.2.5 Copyright reserved State the number of cellphone contracts shown on this invoice. Name the cellphone contract which shows the most expensive device. Show how the VAT amount of R142,95 was calculated. Calculate the missing value A. State, in words, the probability of randomly selecting a cellphone contract that is not from ABC. Please turn over (2) (2) (2) 2) (2) [32]

Downloaded from hlayiso.com Mathematical Literacy/P1 8 DBE/November 2021 NSC QUESTION 3 3.4 South Africa is in the middle of a potentially wet season as heavy rainfalls continue to fall over large parts of the country, thus improving the country's water situation. TABLE 3 shows the full storage capacity and dam levels as a percentage of the full storage capacity in different provinces in South Africa on 5 April 2021. The dam- level readings are taken on the same day each week. TABLE 3: DAM LEVELS IN DIFFERENT PROVINCES ON 5 APRIL 2021 PROVINCE NET FSC THIS LAST LAST (MILLION m3) WEEK WEEK YEAR (%) (%) (%) Eastern Cape 1 823 55 D 56 Free State 15 657 100 99 77 Gauteng 128 100 101 101 KwaZulu-Natal 4 784 B 73 61 Limpopo 1 480 88 88 70 Mpumalanga 2 539 89 89 75 North West 867 82 82 71 Northern Cape 147 102 105 95 Western Cape 1 866 52 D 40 [Adapted from https://sawx.co.za/state-of-dams] Net FSC (million ms) = net full storage capacity in million cubic metres Use TABLE 3 to answer the questions that follow. Copyright reserved Determine the date on which the reading of the dam level was taken last week. Write down, in words, the actual value of the net FSC for Gauteng. Identify the province with the third lowest dam level percentage for last year. Determine which province had the highest percentage increase in dam levels from last year to this week. Calculate the missing value D if the mean percentage storage capacity for last week was 83%. Determine, as a fraction, the probability of randomly selecting a province with dam levels exceeding 100%, for both this week and last week. Calculate (in ms) the actual net FSC of Free State for last week. Please turn over (2) (2) (2) (2) (5) (2) G3)

Downloaded from hlayiso.com Mathematical Literacy/Pt 3.2 9 NSC DBE/November 2021 In an average middle-class household in South Africa a 10-minute shower costs almost R13 (or R1,30/min) if you have a normal 15 litre/min shower head. By changing to a low-flow shower head and reducing shower time to 6 minutes, you can reduce this to R4,20 per shower (or 70c/min). The graph on ANNEXURE B shows more detailed information on water and energy use per shower for a normal shower head and a low-flow shower head. reduces the rate of water flow. GLOSSARY SKETCH OF PICTURE OF A LOW-FLOW SHOWER | NORMAL SHOWER HEAD HEAD A low-flow shower head a m / Use ANNEXURE B and the above information to answer the questions that follow. A four-minute shower uses 1,7 kWh of energy. A ten-minute shower uses Calculate the percentage increase in kWh of energy used when taking a 4-minute shower compared to taking a 10-minute shower. owing formula: kWhused for 10 min —kWhused for 4 min x 100% kWhused for 4 min Give ONE possible reason why you would advise someone to use a low-flow shower head rather than a normal shower head. 3.2.1 4,3 kWh of energy. You may use the foll Percentage increase= 3.2.2 3.2.3 Calculate the range of the number of litres of water used during a 2-minute shower and an 8-minute shower using a normal shower head. Copyright reserved Please turn over (3) (2) (3) [26]

Downloaded from hlayiso.com Mathematical Literacy/P1 10 DBE/November 2021 NSC QUESTION 4 4.1 Bobby lives in India and wants to start his own take-away business. His speciality is biryani. chicken biryani. All his ingredients will be bought in bulk. Bobby intends selling a plate of chicken biryani for eighty rupees (Rs80). TABLE 4 shows the estimated cost of ingredients used to make 8 plates of chicken TABLE 4: ESTIMATED COST (IN Rs) OF INGREDIENTS USED TO MAKE 8 PLATES OF BIRYANI PRODUCT COSTCIN Rs) 1 kg chicken 200 1 kg basmati rice 120 Masala powder 10 Other ingredients 62 Each plate of biryani will be packed in a disposable food container that costs Rs2,43 [Adapted from www.quora.com] each. GLOSSARY PICTURE OF A PLATE OF BIRYANI Biryani is a mixed rice dish made ges ef with spices, rice and meat - : Use TABLE 4 and the information above to answer the questions that follow. 4.1.1 4.1.2 4.13 chicken biryani. Determine (in Rs) the price of 520 g of chicken. Calculate the total cost to make and package a plate of chicken biryani. Bobby claims that he can make more than 50% profit on one plate of Verify, by showing ALL calculations, if his claim is valid. The exchange rate between South African rands and Indian rupees on 3 March 2021 is given in TABLE 5 below: TABLE 5: EXCHANGE RATE SOUTH AFRICAN RAND INDIAN RUPEES (ZAR) (Rs) 1 4,8346707 0.206839 1 [Adapted from www.xe.com] Determine (in ZAR) the price of masala powder. Copyright reserved Please turn over (3) 6) 6) (3)

Downloaded from hlayiso.com Mathematical Literacy/P1 11 DBE/November 2021 NSC 4.2 Bobby got the idea of selling biryani from his niece Janet who has her own takeaway business in South Africa. Janet's variable cost to make one plate of chicken biryani is R13,00. Her fixed cost amounts to R600. [Adapted from www.quora.com] Use the information above to answer the questions that follow. 4.2.1 Janet uses the equation below to calculate her total cost: Total cost = R600,00 + 13 p, where p = number of plates. Use the equation to determine the number of plates sold if the total cost was R1 380,00. (4) 4.2.2 TABLE 6 below shows Janet's total cost and income from selling different numbers of plates of biryani. TABLE 6: INCOME AND COST OF SELLING DIFFERENT NUMBERS OF PLATES OF BIRYANI NUMBER OF 0 10 30 50 70 90 100 PLATES INCOME (R) 0 250 750_| 1250 | 1750 | 2250 | 2500 COST (R) 600 730 990__| 1250 | 1510 | 1770 | 1900 The income graph has already been drawn on the attached ANSWER SHEET. Use TABLE 6 and the same grid on the ANSWER SHEET to draw another line graph representing the cost of different numbers of plates of biryani. (3) 4.2.3 Determine the minimum number of plates of biryani that Janet must sell before she starts making a profit. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 12 DBE/November 2021 NSC 4.3 Tourism in India is important for the country's economy and it is growing rapidly. The Travel and Tourism Competitiveness Report 2019 has ranked India 34th out of 140 countries overall. ANNEXURE C indicates the number of tourist arrivals in India as well as the countries of origin of these tourist arrivals. Use ANNEXURE C to answer the questions that follow. 4.3.1 Write down, as a decimal, the probability of selecting a tourist that comes from ‘Other’ countries. 4.3.2 State the trend in the number of tourist arrivals in India from 2015 to 2019. 43.3 For 2019 the total number of tourist arrivals in India was 10,93 million. Bobby states that more than 4 500 000 tourists who visited India in 2019 came from Bangladesh. Verify, showing ALL calculations, whether his statement is CORRECT. 43.4 The pie chart shows the total percentage of tourist arrivals in India for 2019 as 99.8%. Give a valid reason why this value is not 100%. Copyright reserved Please turn over (2) (2) (4) (2) [35]

Downloaded from hlayiso.com Mathematical Literacy/P1 13 DBE/November 2021 NSC QUESTION 5 5.1 | Marius, who is 64 years old, earned an annual taxable income of R551 762,00 for the 2019/20 tax year. During the 2019/20 tax year Marius was not a member of any medical fund. TABLE 7 below shows the tax table for the 2019/20 tax year. TABLE 7: TAX RATES FOR 2019/20 TAX YEAR (1 Mar. 2019 to 28 Feb. 2020) TAX TAXABLE RATES OF TAX (R) BRACKET | INCOME (R) 1 1-195 850 18% of taxable income 2 195 851-305 850 35 253 + 26% of taxable income above 195 850 3 305 851-423 300 63 853 + 31% of taxable income above 305 850 4 423 301-555 600 100 263 + 36% of taxable income above 423 300 5 555 601-708 310 147 891 + 39% of taxable income above 555 600 6 708 311—1 500 00 207 448 + 41% of taxable income above 708 310 7 1500 001 and above | 532 041 + 45% of taxable income above 1 500 00 [Adapted from www.sars.gov.za] TABLE 8 below shows the tax rebates and medical credits for the 2019/20 tax year. TABLE 8: TAX REBATES AND MEDICAL AID CREDITS FOR THE 2019/20 TAX YEAR TAX REBATE Primary R14 220 Secondary (65 and older) R7 794 Tertiary (75 and older) R2 601 MEDICAL CREDITS PER MONTH FOR MEDICAL FUND MEMBERS Main member R310 First dependent R310 Each additional dependent R209 [Adapted from www.sars.gov.za] Use TABLE 7 and TABLE 8 above to answer the questions that follow. 5.1.1 Identify which tax bracket Marius falls in, based on his taxable income. (2) 5.1.2 Calculate the amount of tax Marius must pay for the 2019/20 tax year. (5) 5.1.3. Marius stated that if he had been one year older, he would have saved more than R600 monthly on taxes paid during the 2019/20 tax year. Verify, showing ALL calculations whether his statement is CORRECT. (6) 5.1.4 Marius is considering joining a medical fund. He plans to include his wife and two grandchildren. Determine the total monthly medical credits he would qualify for if he joined a medical fund. (4) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 14 DBE/November 2021 NSC 5.2 Marius wants to buy a new laptop. He studied the available data for the three most popular brands of laptops sold in South Africa. The box and whisker plots below show (in percentages) the spread of the market share of the Samsung, Apple and Huawei laptop brands from the fourth quarter in 2019 to the third quarter in 2020. BOX-AND-WHISKER PLOTS SHOWING MARKET SHARE OF THREE LAPTOP BRANDS 19,15 a1 2285 18.8 } Huawei 23,5 15,7 17,75 18,75 14.6 — Samsung, } 120.2 102 14,813.15 15,95 -— Apple } 19.9 Pitbititvitityititit i ritipyEerpisiy: MARKET SHARES IN PERCENTAGES [Adapted from www.ide.com] Use the box and whisker plots above to answer the questions that follow. 5.2.1 (a) Write down the name of the most popular laptop brand. (b) Hence, write down the 50" percentile of the brand identified in QUESTION 5.2.1(a). 5.2.2 Calculate the interquartile range (IQR) of the Samsung brand. 5.2.3. A data analyst claims that 75% of the dataset of Apple was less than 16%. Explain whether or not his statement is valid. TOTAL: Copyright reserved (2) (2) 4) 2) [27] 150

Downloaded from hlayiso.com Mathematical Literacy/P1 DBE/November 2021 NSC ANSWER SHEET QUESTION 4.2.2 CENTRE NUMBER: EXAMINATION NUMBER: JANET'S BUSINESS GRAPH FOR PLATES OF BIRYANI Income + —- 2500 | - VA 1500 }— — : ra —| Amount in rand 1oo0 |_| Hf — | N | | 500 ; yf _ 0 10 20 30 40 SO 60 70 80 90 100 Number of plates of biryani Copyright reserved