Mathematical Literacy Grade 12 KZN March 2021 Memo

Downloaded from hlayiso.com P KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE MATHEMATICAL LITERACY COMMON TEST APRIL 2021 TIME: 2 hours This question paper consists of 11 pages, an Addendum with 1 Annexure and 1 Answer Sheet. Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2. April 2021 Common Test NSC INSTRUCTIONS AND INFORMATION il This question paper consists of FOUR questions. Answer ALL the questions. . The question paper consists of one ANNEXURE and one ANSWER SHEET. 2.1 Use the ANNEXURE for QUESTION 2.1. 2.2. Use the ANSWER SHEET for QUESTIONS 2.2.2 and 2.2.3. 2.3. Write your surname and name in the spaces provided on the ANSWER SHEET. and hand in the ANSWER SHEET with your ANSWER BOOK. ch 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. de Round off ALL final answers approximately according to the given context, unless stated otherwise. 8. Indicate units of measurement, where applicable. 9. Write neatly and legibly. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 3 April 2021 Common Test NSC QUESTION 1 11 KZN Covid 19 statistics for 07 March 2021 are shown in the picture below. KZN COVID 19 STATS —- 07 MARCH 2021 au + 330412 | 8123 [311 684/9 741| 186 POSITIVE CASES ACTIVE CASES RECOVERIES DEATHS NEW CASES SUNDAY MARCH 2021 \LLOCATED CONFIRMED CASES: 3 416 [Source :www.facebook.com/pg/kznhealth/posts/] Use the given information above to answer the questions that follow. 1.1.1 Is the data above numerical or categorical? 1.1.2 Arrange the number of deaths in the province in ascending order. 1.1.3. How many districts are shown in the picture above? 1.1.4. Which district has biggest number of confirmed cases? Write down the name of the district and the number of its confirmed cases. 1.1.5 What was the minimum number of recorded recoveries in the province on the 7" of March 2021? Copyright Reserved (2) (2) (2) (2) (2) Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 1.2 4 April 2021 Common Test NSC calculator. MONTHLY INCOME BEFORE OEDUCTIONS @ *23500 + Add co-applicant's income > montuty exeenses © Help me calculate expenses > variapie inrerest rate @ 10. LOAN TERME IN YEARS. — years Reset > Trevin wants to buy a house. He got onto the internet and used Standard Bank home loan calculator to check the loan he qualifies for. Given below is an extract from the home loan How much can you afford to borrow? Your estimated monthly repayment will be "7050 Areynee T&Cs for individuals > T&Cs for legal entities > Real Cost of the Loan = RCL Estimated Monthly Repayment = EMR Loan Amount = LA [ Source: www.standardbank.co.za] Use the information above to answer the following questions. 1.2.1 Convert the loan term to months. (2) 1.2.2 Calculate what the real cost of the loan (RCL) will be. You may use the formula: RCL = EMR x Loan term in months. (2) 1.2.3. What is the total interest that will be charged on the loan amount (LA) of R730 554? You may use the formula: Total interest = RCL — LA. (2) 1.2.4 Calculate the monthly interest on the loan. (2) 1.2.5 How much of the estimated monthly repayment goes towards servicing the principal on the loan amount of R730 554? (2) Copyright Reserved [20] Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 5 April 2021 Common Test NSC QUESTION 2 21 : Mr N. Biyela’s electricity statement for 18 January 2021 to 15 February 2021 is shown on the ANNEXURE A. Carefully study the statement in the ANNEXURE A and answer the following questions. 2.1.1 Calculate the electricity consumption (A). (2) 2.1.2 Use your answer from 2.1.1 and the given rate per kWh to calculate the current month’s charges (B) in rand, excluding 15% VAT. (3) 2.1.3. Calculate the total current month’s charges (C). You may use the formula: Total = B — Sub total + VAT (2) 2.2 Mr Eric owns a barbershop and employs two barbers, each earning R5 500 per month. Other monthly fixed costs amount to R8 200 per month. On average, each barber does 20 haircuts per day and they work from Monday to Friday. A hair cut costs R50,00. Use the given information above to answer the questions that follow. 2.2.1 Calculate the total monthly fixed cost for Mr Eric’s shop. i (2) 2.2.2. Complete the total income values on the provided ANSWER SHEET. (3) 2.2.3 The line graph for monthly fixed costs is drawn on the provided ANSWER SHEET. Draw the line graph for Total Income on the same answer sheet and mark the break-even point on your graph with P. (3) 2.2.4 Mr Eric claims that if each barber does at least 20 haircuts a day, the total profit per month will exceed R12 500. Use calculations to verify his claim. You may use the formula: Profit = Total Income — Total Cost. (5) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 23, 6 NSC April 2021 Common Test Maranatha Metal Polishing Company is based in Durban. Given below is the company’s income and expenditure statement for December 2020. INCOME (R) EXPENDITURE (R) National Products (Local) 1 984 609 Salaries 1362 912 International Products (Exports) | 3 055 713 Overtime 187 427 Fuel 191 102 Repairs & Services 115 346 Office Supplies 1891 Cleaning Materials 5.007 Water & Electricity 18 238 Rent 47311 TOTAL: | 5 040 322 TOTAL: | 1 929 234 Use the income and expenditure statement above to answer the following questions. 2.3.1 What percentage of total income is total expenditure? 2.3.2 Due to Covid-19, the export earnings for the company fell by 75% in January 2021 and local earnings decreased by 47%. Calculate the profit/loss for the company in January 2021. Copyright Reserved (3) (7) [30] Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy April 2021 Common Test 7 NSC QUESTION 3 31 Amahle is 32 years old and earns an annual taxable income of R425 648. She is married and pays medical aid for her husband and herself. TABLE 1 below indicates rates of tax for individuals for the Tax year 2020/2021 TABLE 1: 2021 TAX YEAR (1 MARCH 2020 - 28 FEBRUARY 2021) TAX TAXABLE RATES OF TAX (R) BRACKET| INCOME (R) 1 1-205 900 18% of taxable income 2 205 901-321 600 |37 062+ 26% of taxable income above 205 900 3 321 601-445 100 67 144 + 31% of taxable income above 321 600 4 445 101-584 200 {105 429 + 36% of taxable income above 445 100 5 584 201 — 744 800 [155 505 + 39% of taxable income above 584 200 6 744 801 — 1577300 |218 139 + 41% of taxable income above 744 800 a 1577 301 and above |559 464 + 45% of taxable income above 1 577 300 TAX REBATES i Tax Rebate 2021 i Primary R14 958 i Secondary (65 and older) |R8 199 Tertiary (75 and older) |R2 736 MEDICAL AID CREDIT Per month (R) 2021 For the taxpayer R319 For the taxpayer and one dependant R638 For each additional dependant R215 [Adapted from:www.sars.gov.za] Use TABLE 1 above to answer the questions that follow. 3.1.1 Name the tax bracket Amahle’s annual taxable income falls into. (2) 3.1.2 Write down the tax rebate for the year and the monthly medical aid credit that Amahle qualifies for. (2) 3.1.3. Hence, calculate Amahle’s monthly income tax payable. (8) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy a2 8 NSC April 2021 Common Test Use the information in TABLE 2 to answer the questions that follow. options available. Nkosi is flying to Johannesburg for business and wants to hire a car at the airport for 3 days. He has to choose from one of the two options. TABLE 2 below shows the two TABLE 2: COMPARISION OF CAR HIRE RENTAL FOR A SMALL CAR OPTION 1 OPTION 2 AVIS CAR HIRE BUDGET CAR HIRE Volkswagen Polo or similar Renault Kwid or similar Price for 3 days: ZARI 254,64 | Price per day ZAR 408,25 Mileage: 500 km per 3 day rental | Mileage: 200 km per day Customer review: 8,8 excellent | Customer review: 7,8 very good [Source: www.hippo.co.za] 3.2.1 Calculate the difference in mileage for 3 days between the two options. (3) 3.2.2 Calculate the cost per day for Option 1. (2) 3.2.3. Determine the cost per km for the Renault Kwid. (2) 3.2.4 The cost per km for the Renault Kwid is 81,27 % of that of the Volkwagen Polo. Verify, using a calculation if this is CORRECT. (4) 3.2.5 Aside from cost, what other factor would influence Nkosi’s choice? (2) [25] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 9 April 2021 Common Test NSC QUESTION 4 4.1 The world population review rates the following countries in TABLE 3 below as having the highest rate of obesity in the world. BMI (Body mass index) is a measure that may be used to determine if an individual’s weight status is healthy. TABLE 3: MOST OBESE COUNTRIES 2021 COUNTRY OBESITY RATE BMI POPULATION 2021 American Samoa 74,60% 34,9 55 100 Tokelau 74,40% Not given 1373 Naura 61,00% 32.5 10 876 Cook Islands 55,90% 33 17 565 Palau 55,30% 29,4 18 169 Marshal Islands 52,90% 29,2 59 610 Tuvalu 51,60% 29,3 11931 | Niue : 50,00% Not given 1619 | Tonga 48,20% 31,9 106 760 Samoa 47,30% ey A [Source:www.worldpopulationreview.com] Use the information in TABLE 3 above to answer the questions that follow: 4.1.1 Is the data in TABLE 3 for the Obesity rate and BMI discrete or continuous? Give a reason for your answer. 4.1.2 Calculate the average obesity rate. 4.1.3 Determine the median for the given BMI data. (2) (3) (3) 4.1.4 Determine A, the population of Samoa in 2021 if the total population is 303 152. (3) 4.1.5 List two factors that would contribute to the high obesity rate in these countries. (2) Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 10 April 2021 Common Test NSC 4.2 The box and whisker plot below shows the BMI (Body mass index) of Men and Women. 35 33 29 a ae 27 25 23 21 19 17 15 BMI (Kg/m?) T T Men Women [Source: www.researchgate.net] Use the information above to answer the following questions 4.2.1 Identify Quartile 2 for the Men’s BMI. 4.2.2 The average height of the men is 1,7 metres. Use your answer from 4.2.1 to determine the men’s weight. You may use the formula: weight in kilograms BM = (height in metres)’ 4.2.3 A nurse stated that there is difference of 1 between the inter quartile range (IQR) for men and women. Verify if this statement is CORRECT, showing all calculations. You may use the formula: IQR = Q3- QL 4.2.4 Consider the men’s BMI. Provide a reason why the men’s BMI would be higher than the women? TOTAL: Copyright Reserved (2) (3) (5) (2) [25] [100]

‘opyright Reserved Downloaded from hlayiso.com } KWAZULU-NATAL PROVINCE EDUCATION — REPUBLIC OF SOUTH AFRICA. - NATIONAL SENIOR CERTIFIC GRADE 12 MATHEMATICAL LITERACY ADDENDUM COMMON TEST APRIL 2021 This Addendum consists of 2 pages with 1 Annexure. Please Turn Over

Downloaded from hlayiso.com ANNEXURE A QUESTION 2.1 Tax Invoice THE METRO BILL Tax Invoice No.: 137000891 REVENUE DEPARTMENT P. O. Box 828, Durban. 4 000 Tel: (031) 324 5000 Fax: (031) 324 5111 ETHEXWINI Mr N Biyela E-mail: revline@durban.gov.za MUMLEUPALITY P. O. Box 1813 Web: www.durban.goy.za Durban Council VAT Registration No.: 488 019 3505 a m1 OAH 29000137891 Date Account Number | VAT Number | Guarantee (R) Deposit (R) 2021/02/21 29000137891 N/A 0,00 3, 500.00 [Reference | Details | Amount (R) | Balance brought forward 1, 247.19 Payment — Thank you (D/Delay “00”) 1, 250.00Cr Sub — total 2.81Cr Current month’s charges B VAT i 249,10 Total curtent month’s charges i (o) Current month’s charges are due by 2021/02/26. Reference: 29000137891, 4031, DURBAN Residential 1 Phase - Scale 4 [CT Ratio | 1.00000 | VT Ratio | 1.00000 | Installed Capacity | Rate (c)/kWh: 182,09c¢/kWh_| Meter | Reg. | Date/Previous Meter Reading | Date/Current Meter Reading | Usage A009 | Dbn9. | 18/01/2021 246 701kKWh_| 15/02/2021 247 613kWh A N.B: RESIDENTIAL SCALE 4 RATE IN cents (c)/kWh EXCLUDING VAT is 182,09. Source: [www.durban.gov.za) Copyright Reserved

Downloaded from hlayiso.com Mathematical Literacy 11 April 2021 Common Test NSC ANSWER SHEET NAME OF LEARNER: GRADE 12 QUESTION 2.2.2 Total No. of Haircuts (n) 0 50 100 150 200 250 300 350 400 450 500 Total Cost R) ® 19200 | 19200 | 19200 | 19200 | 19200 19200 | 19200 | 19200 | 19200 | 19200 | 19200 Total Income (R) 0 | 2500 | 5000 | 7500 | 10000 QUESTION 2.2.3 TOTAL COST AND TOTAL INCOME FOR ERIC’S BARBESHOP 25000 22500 Total Cost 20000 & 17500 oe =| 3 15000 eI 3 3 12500 3S %S 10000 & 7500 5000 2500 0 50 100 150 200 250 300 350 400 450 500 Copyright Reserved Number of Haircuts (n)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY COMMON TEST MARKING GUIDELINE APRIL 2021 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 6 pages. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy 2 April 2021 Common Test NSC – Marking Guideline QUESTION 1 [20 MARKS] No. Solution Explanation T&L 1.1.1 Numerical✓✓A 2A correct answer (2) D L1 1.1.2 379; 392; 396; 404; 437; 519; 560; 569; 904; 1 493; 3 688✓✓A 2A ascending order (2) D L1 1.1.3 11 districts✓✓RT 2RT number of districts D (2) L1 1.1.4 eThekwini✓ RT with 156 259 confirmed cases✓RT 1RT correct district D 1RT correct number of cases L1 (2) 1.1.5 6 531✓✓RT 2RT correct number D (2) L1 1.2.1 Time in months = 20 × 12✓M 1M multiplying by 12 M = 240✓A 1A correct answer L1 (2) AO 1.2.2 CA from Q1.2.1 F Real Cost of Loan = 240 × R7 050✓MCA 1MCA multiplying by 240 L1 = R1 692 000✓A 1A correct answer (2) AO 1.2.3 CA from 1.2.2 F Total interest = R1 692 000 − R730 554✓MCA 1MCA for subtracting L1 = R961 446✓CA CA answer (2) AO 1.2.4 CA from 1.2.3 F Monthly interest = R961 446 ÷ 240✓MCA 1MCA dividing by 240 L1 = R4 006,03✓CA 1CA correct answer (2) AO 1.2.5 CA from 1.2.4 F Part of monthly repayment = R7 050 − R4 006,03✓MCA 1MCA subtracting L1 = R3 043,97✓CA 1CA correct answer (2) AO [20] Copyright Reserved

Downloaded from hlayiso.com Mathematical Literacy 3 April 2021 Common Test NSC – Marking Guideline QUESTION 2 [30 MARKS] 2.1.1 A = 247 613 − 246 701✓MA 1MA subtracting correct M = 912𝑘𝑊ℎ✓CA values L1 1CA answer AO (2) 2.1.2 CA from 2.1.1 F B = 912 × 182,09c✓MCA 1MCA multiplying L2 = 166 066,08c✓S 1S simplification = R1 660,66✓C 1C converting to rand OR OR B=912 ×1,8209✓✓ MCA 1MCA multiplying =R1 660,66✓CA 1C conversion CA answer (3) 2.1.3 C = R1 660,66 − (R2,81 + R249,10)✓MCA CA from 2.1.2 F = R1 906,95✓CA 1MCA subtracting L1 1CA answer (2) 2.2.1 Total fixed cost = (2 × R5 500) + R8 200✓MA 1MA for multiplying F = R19 200✓A 5 500 by 2 L1 1A answer AO (2) 2.2.2 3A 1 tick for correct F Total No. of 250 300 350 400 450 500 pairs values L2 Haircuts Total Cost 19200 19200 19200 19200 19200 19200 (R) ✓A ✓A ✓A (3) Total Income 12500 15000 17250 20000 22500 25000 (R) 2.2.3 TOTAL COST/INCOME – ERIC’S BARBERSHOP 2A for the correct line F 25000 1A for correct position ✓ for P 22500 Total Cost (R) P 20000 Total Cost/Income (R) 17500 ✓ 15000 12500 10000 7500 5000 ✓ 2500 0 50 100 150 200 250 300 350 400 450 500 Total Number of Haircuts (3) L3 Copyright Reserved

Downloaded from hlayiso.com Mathematical Literacy 4 April 2021 Common Test NSC – Marking Guideline 2.2.4 Total income = 40 × 50 × 20✓MA 1MA multiplying by 20 F = R40 000✓CA 1CA answer Total expenses = R19 200 1MA subtracting Profit = R40 000 − R19 200✓MA 1CA answer = R20 800✓CA Mr Eric ′ s claim is VALID✓O 1O opinion L4 (5) 2.3.1 R1 929 234 1MA dividing F Total Expenditure = R5 040 322 ✓MA × 100%✓MA 1MA multiplying = 38,28%✓A 1A correct answer L2 (3) 2.3.2 75% of R3 055 713 = R2 291 784,75✓MA 1MA multiplying by F 75% January export earnings = R3 055 713 − R2 291 784,75 = R763 928,25✓A 1A answer 47% of R1 984 609 = R932 766,23✓M 1M multiplying by 47% Local earnings = R1 984 609 − R932 766,23 = R1 051 842,77✓A Total income for January = R1 051 842,77 + R763 928,25 1A answer = R1 815 771,02✓A Loss for January = R1 815 771,02 − R1 929 234✓M 1A addition and answer = R113 462,98✓CA 1M subtracting OR 1CA answer January export earnings = 0,25 × R3 055 713✓MA = R763 928,25✓A L3 Local earnings = 0,53 × R1 984 609✓MA 1MA multiplying by = R1 051 842,77✓A 25% 1A answer Total income for January = R1 051 842,77 + R763 928,25 = R1 815 771,02✓A 1MA multiplying by 53% Loss for January = R1 815 771,02 − R1 929 234✓M 1A answer = R113 462,98✓CA 1A addition and answer 1M subtracting 1CA answer (7) [30] Copyright Reserved

Downloaded from hlayiso.com Mathematical Literacy 5 April 2021 Common Test NSC – Marking Guideline QUESTION 3 [25 MARKS] Q Solution Explanation T &L 3.1.1 Tax Bracket 3 ✓✓RT 2RT correct bracket (2) F L1 3.1.2 Primary Tax Rebate R14 958✓RT 1RT correct value F 1RT correct value L1 Medical aid credit per month R638✓RT (2) 3.1.3 ✓A 1A correct tax bracket F Monthly tax = R67 144 + 0,31(R425 648 – R321 600) ✓SF 1SF annual taxable income L3 = R99 398,88✓CA 1CA simplification = R99 398,88 – (R14 958) ✓MCA 1MCA subtracting rebate 1CA simplification = R84 440,88✓CA = R84 440,88– (R7 656) ✓MCA 1MCA subtracting medical = R76 784,88 credit for the year = R76 784,88 ÷ 12 ✓MA 1MA dividing by 12 = R6398,74 ✓CA 1CA answer (8) 3.2.1 ✓MA 1MA multiplying by 3 F Difference in mileage = (200 × 3) – 500 ✓RT 1RT subtracting correct values L2 1A correct answer = 100 km✓A (3) 3.2.2 Cost per day for Option 1 = R1254,64 ÷ 3 ✓MA 1MA dividing by 3 days F 1A answer L2 = R418,21✓A (2) 3.2.3 Cost per km for Renault Kwid = R408,25 ÷ 200✓MA 1MA dividing by 200 F 1A answer L2 = R2,04 per km✓A (2) 3.2.4 Cost per km for Polo = R1254,64 ÷ 500 ✓MA 1MA dividing by 500 F = R2.51✓A 1A correct answer L4 2,04 %= × 100 2,51 ✓MCA 1MCA dividing by 2,51 = 81,27 Statement is CORRECT✓O 1O opinion (4) 3.2.5 Customer review of 8.8 that is excellent. ✓✓O 2O opinion F L4 Any valid reason (2) [25] Copyright Reserved

Downloaded from hlayiso.com Mathematical Literacy 6 April 2021 Common Test NSC – Marking Guideline QUESTION 4 [25 MARKS] 4.1.1 Continuous✓A 1A correct answer DH Measured value✓A 1A correct answer L1 (2) 4.1.2 Average obesity rate 1MA adding correct DH ✓MA values L2 = (74,60+74,40+61+55,90+55,30+52,90+51,60+50+48,20+47,30) ÷ 10✓MA 1MA dividing by 10 = 57,12%✓CA 1CA answer (3) 4.1.3 Median BMI DH L2 =29,2; 29,3; 29,4; 31,7; 31,9; 32,5; 33; 34,9✓A 1A arranging in order =(31,7+31,9) ÷ 2✓MA 1MA dividing by 2 1CA answer =31,8✓CA (3) 4.1.4 Population of Samoa : DH L3 A=303 152 - (55100+1373+10876+17565+18169+59610+11931+ 1619+106760)✓MA 1MA adding correct values =303 152 –283 003✓M 1M subtracting = 20149✓CA 1CA answer (3) 4.1.5 Unhealthy lifestyle✓O 2O opinion DH Lack of exercise✓O (2) L4 Any valid reason 4.2.1 Q2 = 25✓✓RG 2RG reading correct value DH Accept from 24 to 25 L2 (2) 4.2.2 weight in kilograms CA from 4.2.1 DH 25 = ✓SF (1,7 )2 1SF substitution L3 25×1.72 = weight in kg✓S 1S simplification Weight in kg=72,25kg✓CA 1CA answer (3) 4.2.3 Men’s IQR = 26 – 21 ✓RG 1RG subtracting DH = 5 ✓CA 1CA answer L4 Women’s IQR = 25 –20 ✓RG 1RG subtracting =5 Difference = 5-5 = 0✓CA 1CA answer Statement is INCORRECT. ✓O 1O opinion Accept a leeway of 1 (5) 4.2.4 Different levels of development✓✓O 2O opinion (2) DH Any valid reason L4 [25] TOTAL: 100 Copyright Reserved