M.LIT-March-QP _ Memo-2020.pdf

Downloaded from hlayiso.com ——= education Department: Education PROVINCE OF KWAZULU-NATAL NATIONAL SENIOR CERTIFICATE GRADE 12 q MATHEMATICAL LITERACY t | b COMMON TEST X m MARCH 2020 : MARKS: 100 TIME: 2 hours This question paper consists of 9 pages. Copyright Reserved Please Turn Over a — as ——

Downloaded from hlayiso.com Mathematical Literacy 2 March 2020 Common Test NSC INSTRUCTIONS AND INFORMATION . This question paper consists of FOUR questions. Answer ALL the questions. 2 Number the answers correctly according to the numbering system used in this question paper. ay Start EACH question on a NEW page. 4. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 5 Show ALL calculations clearly. 6. Round off ALL final answers appropriately according to the given context, unless stated otherwise. ie Indicate units of measurement, where applicable. 8. Diagrams and graphs are NOT necessarily drawn to scale, unless stated otherwise. a. Write neatly and legibly. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 3 March 2020 Common Test NSC QUESTION 1 lel Mrs Molefe buys raw mealies from the farmer at R7,00 each. The farmer delivers mealies to her home for free at 06:00. She cooks the mealies for one hour fifty minutes. She sells them at the taxi rank for R13,00 each. She sells on Monday to Saturday. A single trip to the taxi rank costs R15,00. Use the information above and the February calendar below to answer the questions that follow. FEBRUARY CALENDAR 2020 Source: www.shutterstock.com 1.1.1. Determine the number of days that Mrs Molefe sold mealies at the taxi rank in February 2020. 1.1.2. After the delivery, it takes Mrs Molefe 20 minutes to prepare raw mealies for cooking. At what time will the mealies be ready for eating? 1.1.3 Calculate the monthly taxi fare for February 2020. 1.1.4 Calculate the profit from the sale of one mealie. 1.1.5 Define the term break-even. 1.1.6 Write down the formula for calculating the cost per day in the form: 1.1.7 Write down the formula for calculating the income per day in the form: Income = ...... * ...... 1.1.8 Calculate the profit made if she bought 70 raw mealies and only sells 40. Copyright Reserved SUN | MON | TUE | WED | THU | FRI | SAT 1 2 ] 4 5 6 cd 8 9 10 7 12 13 14 15 16 a 18 19 20 21 ee 23 24 25 26 27 — (2) (3) (4) (2) (2) (2) (2) (6) Please Turn Over

Mathematical Literacy Downloaded from hlayiso.com March 2020 Common Test NSC rs Mr Molefe is a fisherman. Before he goes to the sea shore to fish, he studies the tide table. Below are the two tide tables for Durban showing tides for Tuesday 28/01/2020 and Wednesday 29/01/2020. Use the information above and TABLE 1 below to answer the following questions. TABLE 1: Showing Durban tide tables for 28/01/2020 and 29/01/2020 28/01/2020 29/01/2020 Tide Time Height Tide Time Height High tide 5:44 am 191m High tide 6:13 am 1,86m Low tide 11:49 am 0,43 m Low tide 12:18 pm 0,50 m High tide 5: 49 pm 18m High tide 6:17 pm 1,76 m Low tide 11:59 pm 0,35 m Low tide = - Sunrise Sunset | Moonrise | Moonset | Sunrise | Sunset | Moonrise | Moonset 5:20am | 6:56 pm | 8:17am 9:21pm | 5:21am | 6:55pm | 9:10am 9:51pm Source: www.tide-forecast.com 1.2.1 Calculate the difference in time between the high tide and low tide in the morning on 28 January 2020. 1.2.2 Write down the time for a low tide in the afternoon of 29 January 2020 in a 24-hour format. 1.2.3. Convert the height of the high tide to feet (ft) on 28 January 2020 in the morning. Note: 1 foot = 30,48 cm Copyright Reserved (2) (2) Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy QUESTION 2 6] NSC March 2020 Common Test 2) neighbour. The Du Toit family stays in Newcastle. They decided to change the electricity from the metered one to domestic prepaid. Below is a table of the Newcastle electricity tariffs for 2017/2018 and 2018/2019. Mr van Zyl is the Du Toit’s Note: The municipality financial year of services starts on 1 July of the current Use the information above and TABLE 2 below to answer the questions that follow. TABLE 2: Showing Newcastle electricity tariffs for domestic in 2017/2018 and 2018/2019. Block Tariff/ kWh in cents excluding 15% VAT 2017/2018 Tariff/ kWh in cents excluding 15% VAT 2018/2019 Block 1: ( 0-50 kWh ) 96,93 cents 104,68 cents Block 2: (from 50 ~ 350 kWh ) 116,88 cents 126,53 cents Block 3: ( from 350 - 600 kWh) 124,92 cents 134,91 cents Block 4: (> 600 kWh) 131,57 cents 142,10 cents Source: www.newcastlemunicipality.gov.za 2.1.1 Determine the number of kilowatt hours (Kwh) in block 1 and block 2. 2.1.2 Write the ratio of kilowatt hours of block | to block 2 in simplest form . 2.1.3. In May 2018, the family bought electricity for R600,00 including VAT. (a) Calculate the VAT amount. (b) Determine the number of kilowatt hours (kWh) they received. 2.1.4 In May 2019, Mr van Zyl’s family consumed 503 kWh of electricity. Calculate the total amount including VAT that this family will pay. Copyright Reserved (2) (2) (3) (6) (6) [19] Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy QUESTION 3 3.1 6 March 2020 Common Test NSC Lindani who is 45 years old, is married with 3 children. He earns a monthly taxable income of R32 500. He contributes to a medical aid scheme for him and his family. The Adapted Tax table for 2019/2020 is shown below. TABLE 3: TAX RATES FOR INDIVIDUALS FOR THE 2019/2020 TAX YEAR Taxable Income Rates of tax 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 Rebates Primary Rebate R14 220 Secondary (Persons 65 and older) ta 7 : a. Tertiary (Persons 75 R2601 and older) Medical Aid Tax Credits per month Main member R310 First dependant R310 Each additional R209 dependant [Adapted source: www.sars.org] Use TABLE 3 and the information above to answer the questions that follow. 3.1.1 Calculate Lindani’s annual taxable income. (2) 3.1.2 Determine Lindani’s total medical aid tax credit for the year. (3) 3.1.3 Hence, calculate his monthly income tax for the year 2019/2020. (8) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 7 March 2020 Common Test NSC 3.2 The graph below shows the 2020 Bank withdrawal fees for R500 charged by the different Banks in South Africa. Withdrawal fee (R500, Other banks ATM) R25,00 R21,50 R20,00 R20,00 R19,50 “ R18,50 R15,00 R14,50 R12,00 oe R10.00 as og : = ; R0,00 Capitec Discovery Finbond StandardBank Fnb Nedbank Absa Banks in South Africa [Adapted source: www.busstech.co.za] Use the graph and the information above to answer the questions that follow: 3.2.1 Identify the price difference between the most expensive and the least expensive withdrawal fee. Give a reason for this price difference. (3) 3.2.2. FNB charges a fixed bank fee plus R1,90 for every R100 withdrawn. Use the graph to calculate the fixed bank fee. (4) 3.2.3 Determine the percentage change in the withdrawal fee for Capitec bank, if the cost to withdraw R500 in 2019 was R8,75. You may use the formula: New - original . original % change = 100 (3) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 8 NSC March 2020 Common Test 3.2.4 Absa charges R11,50 + R2 for every R100 withdrawn. A customer withdrew R2 000. Explain why the calculation below is incorrect. Hence provide the correct calculation. Total withdrawal fee for Absa Bank = R2000 + 500 =4 =4x R21,50 = R86 (4) [27] QUESTION 4 4.1 | the Survey conducted by Statistics South Africa indicate specific types of crime committed from 2014 to 2019. TABLE 4: NUMBER OF INDIVIDUALS AGED 16 AND OLDER THAT EXPERIENCED THE FOLLOWING CRIMES FROM 2014 TO 2019. Statistic 2014/15 | 2015/16 | 2016/17 | 2017/18 | 2018/19 Theft of personal property 2 095 571 | 1 894495 | 1 762 131 | 1 844 367 | 2 343 507 Street robbery 706 227 | 678 653 738 462 735 298 1125 972 Assault excluding sexual assault | 724 435 682 924 590 281 600 153 598 948 Consumer fraud 254 351 233 182 199 681 146 536 172 743 Hijacking 194 976 161 800 158 990 A 198 199 Sexual offences 127 935 117 282 134 134 126070 | 97938 1 [Adapted source: www.statssa.gov.za.] Use TABLE 4 and the information above to answer the questions that follow: 4.1.1 Calculate the total number of individuals affected by assault including sexual offences in 2018/019. 4.1.2 Determine the mean number of individuals affected by Theft of personal property from 2014 to 2019. Copyright Reserved (2) (3) Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 9 March 2020 Common Test NSC 4.1.3 The range for individuals affected by hijackings is 46 169. Determine A, the minimum number of individuals affected by hijacking in 2017/18. (3) 4.1.4 Describe the trend in street robbery from 2014 to 2019. (2) 4.2 The box and whisker plot below shows the heights of Basketball players and Baseball players in inches. 9 4 o——— Basketball players CT a eR 1 | ee ers eae JJ pn ae] a] ae FETA EL a ae FP) rl 4 64 66 68 70 72 74 #76 78 80 82 84 86 Heights of Basketball and Baseball Players (in.) [Adapted source: www.slideshow.net] Use the information above to answer the following questions: 4.2.1 75% of the Baseball team’s height is the same as 50% of the Basketball team’s. Determine the height of the players. (2) 4.2.2 One of the coaches claimed that the difference in the maximum heights of the players is 3 times more than the difference in the minimum heights of the players. Verify, if this claim is correct, using a calculation. (5) 4.2.3 Determine the inter quartile range for the Baseball players. Explain the significance of the IQR of the Baseball players. (3) 4.2.4 Which teams heights’ are more consistent and why? (3) [23] TOTAL: [100] Copyright Reserved

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY COMMON TEST MARKING GUIDELINE MARCH 2020 MARKS: 100 SYMBOL EXPLANATION M Method MA Method with accuracy CA Consistent accuracy A Accuracy C Conversion S Simplification RT/RG/RD/RM Reading from a table/ graph/ diagram/Map SF Correct substitution in a formula O Opinion/ reason/deduction/example/Explanation J Justification R Rounding off F deriving a formula AO Answer only full marks P Penalty e.g. for units, incorrect rounding off etc. NPR No penalty for rounding / units This marking guideline consists of 7 pages. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2 March 2020 Common Test NSC - Memorandum QUESTION 1 [31 MARKS] Ques Solution Explanation T&L 1.1.1 25 days RT 2 RT reading from the table M (2) L1 1.1.2 Prep. Time: 06:00 + 20 minutes M 1M adding 20 minutes M = 06:20 + 1 hour 50 minutes M 1M adding cooking time L1 Finishing time = 08:10 CA 1CA time AO (3) 1.1.3 Return trip = R15,00 × 2 M 1M multiplying by 2 M = R30,00 A 1A fare L1 Monthly fare = R30,00 × 25 days M 1M multiplication = R750,00 CA 1CA monthly fare (4) 1.1.4 Profit = R13,00 – R7,00 M 1M subtraction F = R6,00 A 1A profit L1 AO (2) 1.1.5 Break-even is when there is no profit and no loss. E 2E explanation F OR OR L1 Break-even is when the cost is equal to the income. E 2E explanation (2) 1.1.6 CA 1CA fixed taxi fare Cost = R30,00 + R7,00 × number of raw mealies CA 1CA formula (2) F L1 1.1.7 Income = R13,00 × number of raw mealies sold. F 2F formula (2) F L1 1.1.8 Cost = R30,00 +( R7,00 × number of raw mealies) = R30,00 + R7,00 × 70 CA 1CA substitution = R520,00 CA 1CA cost F Income = R13,00 × number of raw mealies L2 = R13,00 × 40 MA 1MA multiplying 40 by R13,00 = R520,00 A 1A income Profit = R520,00 – R520,00 M 1M subtraction = R0,00 CA 1CA no profit Accept if profit is not calculated award 2 marks for no profit (6) 1.2.1 Difference = 11:49 – 5:44 MA 1MA subtraction = 6 hours 05 minutes A 1A difference M OR OR L2 5:44 – 6:44 (1 hour) 6:44 – 7:44 (1 hour) 7:44 – 8:44 (1 hour) 1MA adding 8:44 – 9:44 (1 hour) MA 9:44 – 10: 44 (1 hour) 10:44 – 11:44 (1 hour) 11:44 = 11:49 (5 minutes) Difference : 6 hours 05 minutes A 1A difference AO (2) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 3 March 2020 Common Test NSC - Memorandum 1.2.2 Time of low tide 12:18 A 2A time in 24-hour format M (2) L2 1.2.3 Height = 1,91 m M 1M identifying correct height 1 foot = 30,48 cm ÷ 100 C 1C converting cm to m M 1 ft = 0,3048 m L2 ft = 1,91 m 1,91m ft = M 1M dividing by 0,3048 0,3048 m = 6,266…….. 1CA height in ft  6,27 ft CA OR OR Height = 1,91 m M 1M identifying correct height 1 foot = 30,48 cm 1,91 m × 100 C 1C converting m to cm = 191 cm 191c m ft = M 1M dividing by 30,48 30,48 c m = 6,266……..  6,27 ft CA 1CA height in ft (4) [31] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 4 March 2020 Common Test NSC - Memorandum QUESTION 2 [19 MARKS] 2.1.1 No. of kWh in Block 1: 50 kWh – 0 kWh= 50 kWh A 1A correct no. of kWh F No. of kWh in Block 2: 350 kWh – 50 kWh = 300 kWh A 1A correct no. of kWh L2 AO Accept 350 kWh (2) 2.1.2 Ratio 50 : 300 MA CA from 2.1.1 F 1 : 6 S 1MA ratio in correct L1 order 1S simplification AO (2) 2.1.3 R600,00 1M dividing by 1,15 Amount excluding VAT = M (a) 1,15 F = R521,74 L2 VAT amount = R600,00 – R521,74 M 1M subtraction = R78,26 A 1A VAT amount OR 15 OR VAT amount = × R600,00 M 2M dividing & 115 multiplying = R78,26 A 1A VAT amount OR OR 100 Amount excluding VAT = × R600,00 M 115 100 = R521,74 1M multiplying by 115 VAT amount = R600,00 – R521,74 M 1M subtraction = R78,26 A 1A VAT amount (3) (b) No. of kWh = R521,74 – R48,465 (50 kWh) C 1C converting cents to R473,275 – R350,64 (300 kWh) M rands F R122,635 1M subtraction L2 M = 98,1708….. 1,2492 1M dividing by rate in  98,17CA block 3 Total no. of kWh = 50 + 300 + 98,17 M 1CA number of kWh = 448,17 CA 1M adding 1CA no. of kWh (6) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 5 March 2020 Common Test NSC - Memorandum 2.1.4 104,68 126,53 1C converting cents to Amount = ( 50 kWh × ) + ( 300 kWh × ) 100 100 C rands F A L2 +  153 kWh × 134,91 ) 1A no. of kWh in block 3 100 = R52,34 + R379,59 + R206,4123 S 1S simplification = R638,3423 A 1A amount 1M multiplying by 1,15 Amount including VAT = R638,3423 × 1,15 M 1CA amount = R734,09 CA OR OR 104,68 126,53 Amount = ( 50 kWh × ) + ( 300 kWh × )+ 100 100 C 1C converting cents to rands A 134,91 (153 kWh × ) 1A no. of kWh in block 3 100 = R52,34 + R379,59 + R206,4123 S 1S simplification = R638,3423 A 1A amount Amount including VAT = R638,3423 + (15% × R638,3423 ) M = R734,09 CA 1M adding 15% 1CA amount OR OR 104,68 126,53 Amount = ( 50 kWh × ) + ( 300 kWh × )+ 100 100 C 1C converting cents to rands A 134,91 (153 kWh × ) 100 1A no. of kWh in block 3 = R52,34 + R379,59 + R206,4123 S 1S simplification = R638,3423 A 1A amount VAT = 15% × R638,3423 = R95,75 Amount including VAT = R638,3423 + R95,75 M 1M adding VAT = R734,09 CA 1CA amount [maximum 3 marks if used the wrong column R678,41] (6) [19] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 6 March 2020 Common Test NSC - Memorandum QUESTION 3 [27 MARKS] Ques Solution Explanation T &L 3.1.1 Annual Taxable income =R 32 500 × 12 MA 1MA multiplying by 12 F L2 = R390 000 A 1A annual taxable income (2) 3.1.2 Total med aid tax credit= F 1MA adding correct values L3 R310+R310+R209+R209+R209MA = R 1247 1MA multiplying by 12 = R 1247×12MA 1CA medical aid tax credit = R 14 964CA (3) 3.1.3 A 1A correct tax bracket F Monthly tax = R63 853 + 0,31(R390 000 – R305 850)SF 1SF correct substitution L3 = R89 939,50S 1S simplification = R89 939,50 – (R14 220) MA 1MA subtracting rebate 1CA answer = R75 719,50CA 1CA subtracting medical credit = R75 719,50 – (R14 964) CA from Q3.1.2 = R60 755,50 1MA dividing by 12 = R60 755,50 ÷ 12 MA 1CA monthly tax (8) = R5062,96 CA 3.2.1 Difference in price = R21,50 – R8 RG 1RG subtracting correct values F 1A difference in price L4 = R13,50A Capitec bank fee rates are lower than Absa. O 1O opinion (3) 3.2.2 Fixed bank fee = R500÷100 MA 1MA dividing by 100 F L3 =5 1MA multiplying by R1,90 = 5 × R1.90MA = R9.50 1CA subtracting answer = R19,50 – 9.50CA 1CA fixed bank fee (4) = R10CA 3.2.3 1RG 1RG and subtraction F 8,00  8,75 L2 % Change = × 100 8,75 MA 1MA dividing by 8,75 = – 8,57%CA 1CA % decrease (3) 3.2.4 Withdrawal fee has a fixed cost of R11,50 therefore F method is incorrectO 1O opinion L4 Withdrawal fee = R2000 ÷ 100MA 1MA dividing by 100 = 20 = R11,50 + (R2×20) SF 1SF substitution into formula = R51,50A 1A withdrawal fee (4) [27] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 7 March 2020 Common Test NSC - Memorandum QUESTION 4 [23 MARKS] 4.1.1 Total number of individuals affected = 598 948 + 97 938RT 1RT correct values DH = 696 886A 1A total (2) L2 4.1.2 Mean DH =2 095 571+1 894 495+1 762 131+1 844 367+2 343 507MA 1MA adding correct values L2 =9 940 071 =9 940 071 ÷ 5MA 1MA dividing by 5 =1 988 014,20  1 988 014 CA 1CA mean (3) 4.1.3 Range = Max - MinMA 1MA concept of range DH 46 169 = 198 199 – ASF 1SF correct substitution L3 198 199 – 46 169 =152 030A 1A value of A (3) 4.1.4 It is fluctuating over a period of timeO 2O opinion DH L4 OR OR Increasing and decreasing over a period of timeO 2O opinion (2) 4.2.1 74 inchesRG 2RG reading correct value DH (2) L2 4.2.2 Difference in Max heights = 85 - 76 1RG difference in DH = 9 inchesRG maximum heights L3 Difference in Min heights = 67 -64 = 3 inchesRG 1RG difference in minimum heights Max height is 3 times more = 9 ÷ 3MA 1MA dividing by 3 =3CA 1CA max height Claim is correct. O 1O opinion (5) 4.2.3 IQR = 74 – 66 RG 1RG subtracting correct DH values L4 = 8 inches CA 1CA IQR The middle 50% of player’s heights are concentrated between 66 and 74 inchesO 1O opinion (3) 4.2.4 Baseball A 1A correct team DH L4 IQR and range for baseball team is smaller than that of 2O opinion (3) basketball teamO [23] TOTAL: [100] Copyright Reserved Please Turn Over