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KZN Maths Literacy Grade 12 March 2026 QP and Memo

Subject: Mathematical LiteracyGrade 12202620 pages
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Sy KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY PROVINCIAL STANDARDISED ASSESSMENT MARCH 2026 Seseseseeee m Ty a ] » MARKS: 100 TIME: 2 hours This question paper consists of 11 pages and a 11-page Special Answer Book. ___ Please Turn Over
Manebrowmeanded from Stanmorepltysics.com March 2026 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2, Answer ALL the questions in the SPECIAL ANSWER BOOK provided. 3; You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. stanmorephysics.com 4, Show ALL calculations clearly. &, Round off ALL final answers appropriately according to the given context, unless stated otherwise. 6. Indicate units of measurement, where applicable. 4, Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 8. Write neatly and legibly. Copyright Reserved Please Turn Over
MahePiwiteaded from Stanmoreplysics.com apHNAES QUESTION 1 1 al The Class of 2025 achieved a national pass rate of 88% in the final examinations, as released on 12 January 2026. The pass percentages for each province are shown below. 2025 MATRICS: eesiits ssscey 1.200 Gump Rasing Gary Martin Scamon, Degamnrtrneant of Hanse FSercation [Adapted from www.timeslive.co.za] Use the information and graph above to answer the questions that follow. 1.1.1 Identify the province that attained first position. (2) 1.1.2 Arrange the provincial pass rates shown above in ascending order. (2) 1.1.3. Determine the province that represents the median of the data above. (2) 1.1.4 Determine the unit ratio of the KwaZulu-Natal pass rate to the Western Cape pass rate, rounded to two decimal places stanmorephysics.com (2) 1.1.5. Calculate the difference between the highest provincial pass rate and the lowest provincial pass rate. (2) 1.1.6 A province is selected at random from the nine provinces. Calculate the probability as a simplified fraction that the selected province has a pass rate of at least 89%. (3) Copyright Reserved Please Tum Over
maneowintvaded from Stanmorephysics.com _— 1.2 | TABLE 1 below gives definitions of terminology used in Mathematical Literacy. TABLE 1: DEFINITIONS OF TERMINOLOGY USED IN MATHEMATICAL LITERACY yf / | DEFINITIONS The aad of money an employee earns before any additional f allowances, bonuses, or deductions. _ The amount an employee takes home after all deductions | 2 interest calculated only on the original amount borrowed or invested ‘The value of a currency in relation to the cost of living in another country : je arrangement where a fixed amount of money is automatically paid from ~ | your bank account to another account at regular intervals The interest calculated on both the principal amount and any interest that has already been added. stanmorephysics.com The general increase in the prices of joods and services over time, which reduces the purchasing power of n An arrangement where a bank 4 varying amounts from your account ig |) S| + th a third party to withdraw Use TABLE 1 above and match the definitions will (A-H) next to the question numbers ( 1.2.1 to 1. y below. Write only the letter 1.2.1 Simple Interest 1.2.2 Basic Salary 1.2.3 Debit order 1.2.4 Buying power Copyright Reserved Please Turn Over (2) (2) (2) (2) [21]
vaensSwiildaded from Stanmorephkysics.com QUESTION 2 March 2026 2.1 | James intends to invest R50 000 for a period of 12 months, making an additional deposit of R3 500.at the end of each month. His bank offers an interest rate of 7,05% per annum, compounded monthly. TABLE 2 below shows the projected growth of his investment. Fi. JAMES’ Il STMENT FOR 12 MONTHS | |.Me Monthly Balance with | Interest (R) | Closing Balance mee | Payment (R) | Payment (R) with Interest (R) a 50 00 3 500 53 500 314,31 53 814,31 53 81. __ 3500 57 314,31 336,72 ___ 57 651,03 57 65 3 500 61 151,03 359,26 - “61 510,29 61 510, 3.500 65 010,29 381,94 65 392,23 hnaronhMoe 3500 68 892,23 404,74 69 296,97 ail 69 3 500 72 796,97 427,68 73 224,65 - | 73 224, 3 500 76 724,65 450,76 77 175,41 8 77 175,41 3 500 80 675,41 473,97 81 149,38 9 81 149,38 3.500 84 85 146,70 10 85 146,70 3 500 8 89 167,50 11 89 167,50 3 500 93 211,92 12 93 211,92 3 500 Cc ames’ investment account] Use TABLE 2 and the information above to a 2.1.1 Calculate the missing values B and C. nat follow. 2.1.2 Calculate the total interest that James will earn at the end of the 12-month investment period. : 2.1.3 Explain, using TABLE 2 above, how compounding monthly affects the total interest earned compared to earning simple interest. Copyright Reserved Please Turn Over
March 2026 MasensgWiiidaded from Stanmorephysics.com 2.2 | The graph below shows the rand dollar exchange rates from January 2022 to January 2026. Ee ae 2026 [Adapted from www.roundup.org.za] Use the information above to answer the questions that follow. 2.2.1 Identify the exact date (day, month, and year) on which the rand was at its strongest. (2) 2.2.2 As of January 2026, South Africa’s national debt stands at R6,09 trillion. Convert this amount into US dollars using the rand-dollar exchange rate from the graph above. (3) 2.2.3. James visited the USA in April 2022 and January 2026. For each of the visits, he exchanged R50 000 for US dollars. He claims that during his January 2026 visit, he received $346.42 less than he did in April 2022. Use the exchange rates provided above to verify whether James’ statement is correct. (6) Copyright Reserved Please Turn Over
March 2026 “Downloaded from Stanmorephysics. com 2.3 | Food inflation rates for 2026, 2027, and 2028 are projected to be 4.4%, 3.2%, and 3.0%, resp ey TABLE 3 below shows the 2026 food basket prices for Johannesburg, Durban, and PRICES FOR THREE CITIES — 2026 2026 Food Basket Price (R) R5 515,69 . RS5 295,36 R5 389,36 [Adapted from www.businesstech.co.za] to answer the questions that follow. 2.3.1 Calculate the probability that a year, chosen at random from the given period, has a food inflation rate greater than 3%. 2.3.2 Calculate the difference in food basket prices between Johannesburg and Cape Town. 2.3.3. Calculate the projected food basket pri inflation rates. in. Durban for2028 using the 2027 and 2028 Copyright Reserved Please Turn Over (2) (2) (4) {30}
Mathemati SWiiloaded from Stanmorephysics.com March 2026 QUESTION 3 3.1 TABLE 4 below shows the number of births registered at Home Affairs. A baby’s birth has to registered within 30 days. stanmorephysics.com TABLE 4: BIRTH REGISTRATIONS FOR SOUTH AFRICA 2023 — Number of birth registrations : Percentage Total Cant | - Late Total | Current : Lite Age of mother Eon ae gran 10-14 3417/2311 1106] 100.0 67.6 32.4 15419 128192} 100095 28 097 100.0 78.1 21.9 20-24 198 314 | 183990) _14324| 100.0 92.8 72 25-29 224081} 2122. .0 94.7 $3 30-34 | 200 301 | 190 186)" .0 95.0 5.0 35-39 127 010| 120396 | 100.0 94.8 5.2 | 40-44 . 38/650 | 36391 wo 94.2 58 45-49 2702 2389 313 100.0 88.4 11.6 50-54 173 107 66| 100.0 61.8 38.2 Unspecified outside the A 216 9082} 100.0 2.3 97.7 10-54 age range Total 932138 | 848 337 83 801 100.0 91.0 9.0 {Source:www.statssa.gov.za] - Use TABLE 4 and the information above to answer the questions that follow. 3.1.1 | Determine the percentage of late birth registrations in 2023. (2) 3.1.2 Determine the total number of birth registration with mothers under the age of 20. (2) 3.1.3. Determine the median number of current registrations in 2023. (3) 3.1.4 Calculate the missing value A in TABLE 4, if the mean total number of birth registrations was 93213,8. Copyright Reserved (3) Please Turn Over
“Math ical Lit March 2026 ownléaded from Stanmorephysics.com = The mass of a new born baby is shown in the box and whisker plot below. BOX AND WHISKER PLOT OF BIRTH MASS AT A HOSPITAL 3.6 source www: medium.com] Use the box and whisker plot and information above to answer the questions that follow. 3.2.1 Name the Quartile that supports this statement, “25% of the babies had a mass of less than 2,9kg”. (2) 3.2.2 Calculate the inter quartile range for the birth mass. (3) 3.2.3 A nurse stated that the top 25% of babies have birth mass with a difference of 0,3 kg. Verify, showing all calculations whether the statement is correct. (3) Copyright Reserved Please Turn Over
March 2026 “"“Bownloaded from Stanmorephysics.com 3.3 The extract from the growth chart below shows the age and weight of babies. GROWTH CHART SHOWING AGE AND WEIGHT OF A BABY BOY Use the growth chart and information above to answer the questions that follow. 3.3.1 Identify the age and weight (in kilograms) of a baby on the 75th-percentile curve. (2) 3.3.2 Explain what the 75th-percentile curve represents. (2) 3.3.3. At24 months, the baby should have been on the 75th-percentile curve, but was on the 50th-percentile curve. Stanmorephysics.com Determine the difference in weight and provide a possible reason for this difference. (3) [25] Copyright Reserved Please Turn Over
March 2026 thi ical Li ° “““Bownloaded from Stanmorepkysics.com QUESTION 4 4.1 Mr Michaels is 45 years old and earns a salary of R22 500 per month. He contributes _7,5% of his salary to a pension fund. Mr Michael belongs to a private medical aid scheme and pays medical aid for his family of four. ANNEXURE A shows the annual Income tax rates and Rebate table for the year 2024/2025. Use ANNEXURE A and the information above to answer the questions that follow. 4.1.1 Explain the term medical aid credit. (2) 4.1.2 Show how the amount of R77 362 in the tax table was calculated. (3) 4.1.3 Determine Mr Michaels’ annual taxable income. (3) 4.1.4 Determine the amount of tax Mr Michaels will pay per month. (8) 4.2 Starlink is an international mobile service provider that is not yet licensed to operate in South Africa. TABLE 5 below shows the company’s cell phone tariff structure. TABLE 5: COMPARISON OF RESIDEN| YG COSTS FOR 2026 Roaming Option | Once off - Hardware cost R6 800 Cost per Month R900 _. Cost perGBofdata R2,16 R9,00 Free DATA allowance 250GB 100GB Portability Fixed address only Works in 150 countries Down load speed ~ 100 Mbs 127 Mbs [Adapted Source : https://www.techinafrica.com] NOTE: Roaming refers to the ability to use your mobile phone on another network outside your service provider’s coverage area, usually when you are in a different country. Use TABLE 5 above to answer the questions that follow. 4.2.1 Write a formula to represent the total cost of the Residential option for the first month of usage. G) 4.2.2. Aclaim has been made that the difference between the two options in the first month is R2 000 when 500 GB of data is used. Verify, showing all working, if this claim is VALID. (5) [24] TOTAL [100] Copyright Reserved
MathemBevuweaded from Stanmoreph ics.com March 2026 NSC - er Book QUESTION 4 ANNEXURE A TAX RATES FOR THE 2024/2025 TAX YEAR TAX TAXABLE INCOME BRACKET (in R) TAX RATES (in R) 1 0-237 100 18% of taxable income 2 237 101-370 500 42 678 + 26% of taxable income above 237 100 3 370 501-512 800 77 362 + 31% of taxable income above 370 500 4 512 801-673 000 121 475 + 36% of taxable income above 512 800 5 673 001-857 900 179 147 + 39% of taxable income above 673 000 6 857 901-1 817 000 251 258 + 41% of taxable income above 857 900 mp 1 817 001 and more 644 489 + 45% of taxable income above 1 817 000 REBATES AMOUNT . Below age 65 R17235 | Age (65-74) R9 444 Age 75 and over R3 145 MEDICAL TAX CREDITS PER MONTH FOR 2 Taxpayer : Taxpayer and one dependent 2 Each additional dependent R246 [Source adapted: www.sars.gov.za] Copyright Reserved Please Turn Over
Downloaded from StanmorePh)Sics.com KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE MARKS: 100 SYMBOL EXPLANATION MA Method with accuracy MCA Method with Consistent accuracy CA Consistent accuracy A Accuracy Cc Conversion SI Simplification RT Reading from a table/ graph/ diagram/Map/document SF Correct substitution in a formula Oo Opinion/ reason/deduction/example/Explanation R Rounding off AO Answer only full marks NPU No penalty for omitting unit, but wrong unit is penalised. incorrect rounding off etc. NPR No penalty for correct rounding / units This marking guideline consists of 8 pages. Please Turn Over
MaherigWiiddded from Stanporephysicsncom NOTES: the second calculation error. e If the-candidate presents any extra solution when reading from a graph, table, layout plan and map, then penalise for every extra item presented. If a candidate answers a question TWICE, only mark the FIRST attempt. If a.candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution, mark the crossed out (cancelled) version. Consistent accuracy (CA) applies in ALL aspects of the marking guidelines; however, it stops at March 2026 Provincial QUESTION 1 [21 MARKS] | ANSWER ONLY FULL MARKS Ques Solution Explanation T&L 1.1.1 | KwaZulu-Natal¥ Y¥RT 2RT Correct Province DH Ll Accept KZN E Q) 1.1.2 | 84,17%, 86,15%, 86,55%, 87,79%, 88,20%, 88,49%, 89,06%, DH 89,33%, 90,6%Y VA 2A correct Order LI (2) |E 1.1.3 | Western CapeY WA Correct Province DH LI ccept WC (2) |E 1.1.4 YRT RT for both correct DH 90,6 : 88,20 alues and order Lil =1:0,97VA A Correct unit ratio i Accept 1,03 :1 (2) 1:15 1MA subtracting correct DH values LI 1A correct answer (2) |M 1.1.6 1A correct numerator P 1A correct Denominator LI 1S simplification (3) |M 1.2.1 2A correct answer F (2) | LI M 1.2.2 | AYVA 2A correct answer F (2) | LI M 1.2.3 | HY¥VA 2A correct answer F (2) | L1 M 1.2.4 |DYVA 2A correct answer F (2) | L1 M [21] Copyright Reserved Please Turn Over
Mathempicl bineeided from Stanmnoraphysias.com March 2026 Provincial QUESTION 2 [30 MARKS] Ques | Solution Explanation T&L 2.1.1 | Monthly Interest rate = “ % = 0. 5875%V A 1A correct interest rate i M B = 0,5875 % x R96 711,92”¥MA IMA multiplying by 0,5875% = R568.18VA 1A correct interest C=R96 711,92 + R568,18/ MCA IMCA adding interest = R97 280,10VCA ICA answer OR B= R96 711,92 x 7,05 %”MA IMA ‘moultiplying by:7,05% =R 6818,19036 + 12Y¥MA IMA for dividing by 12 =R568,18VA 1A correct answer C =R96 711,92 + R568,18™ MCA IMCA adding interest = R97 280,10YCA LCA answer (5) 22: rom 2.1.1 F ¥MA multiplying 12 by 12 Total Invested = R 50 000 + (12 R3 500) 3 500 M =R92000VA ‘otal invested YMCA A subtracting R92 000 Total interest = R97 280,10 — R92 000 =R5 280,10YCA A answer OR OR Total interest = 314,31+336,72+359,26+381,944404,74+427,68+ 450,76+473,97+497,32+520,80+544,42V MA 1MA adding 11 correct values Wee ae 1A for R 4 711,92 =R 4711,92 #RS68,18“~™ MCA IMCA adding interest for the i p 12" month =R5 280,10 VCA 1CA correct amount (4) 2.1.3. | Compounding, interest is calculated on the increasing balance F each month. From the table, ‘the interest grows from R314,31 in L4 month | to R568,68 in month 12. ¥V¥O 20 correct explanation M OR Compounding monthly earns more total interest than simple interest because interest is calculated on interest earned each monthY ¥O (2) 2.2.1 | 13 April 2022WYRT IRT correct answer F (2) | LI E Copyright Reserved Please Turn Over
MaheeWwitlodded from Stanworephysias.com March 2026 Provincial 2.2.2 | R6,09 trillion = R6 090 000 000 000YC 1C Conversion F L3 Debt = R6 090.000 000 000 + R16, O7v MA IMA dividing by R16,07 M = $378 1A answer Accept 0,3789670193 trillion GB) 22:3) 1MA dividing by R14,46 F L4 1A correct amount M 1A correct amount : art. Difference = $3 457,81 — $3 111,39¥™ MCA IMCA subtracting = $346,42VYCA 1CA answer Statement is CORRECTYO 10 opinion ‘Accept $346,43 (6) 2.3.1 P P (Inflation > 3%) =—— = pr Numerator Ul or Denominator M (2) 2.3.2 | Difference = R5 515,69 — R5 389,36” MA subtracting F =R126,33VA L2 (2)|M 2.3.3 | 2027 Price = 103,2% x R5 295,36“MA 1MA multiplying by 103,2% | F =RS5 464,81VA 1A answer L3 M 2028 Price = 103% x R5 464,81” MCA 1MCA multiplying by 103% =R5 628,75YCA 1CA answer OR OR 2027 Increase: 3,2% x R5 295,36 = R169,45VA 1A increase for 2027 Price: R5 295,36 + R169,45 = R5 464,81V A 1A price for 2027 2028 Increase: 3% x R5 464,81 = R163,94VWCA 1CA increase for 2028 Price: RS 464,81 + R163,94 = R5 628,75V¥CA 1CA answer (4) [30] Copyright Reserved Please Turn Over
Mathempyics IBA ‘de d fro m Sta nego! f : com March 2026 Provincial QUESTION 3 [25 MARKS] Ques | Solution | Explanation T&L 2RT correct answer DH (2) LI E IMA adding correct values DH 12) 1A correct answer E (2) DH 1A arranging data 12 E 1MA adding and dividing by2 1CA correct answer (3) 3.1.4 YMA multiplying DH A = (93 213,8%10) — (3 417 + 128 192 + 198 314 A subtracting sum of 13 200 301 + 127 010 + 38 650 + 2 702+ 173)™MA ect values M =9 298YCA correct answer OR OR YMA A adding all correct 93 213,8 = 24174128 sce ea bei vans 1MA dividing by 10 A=9298YCA 1CA correct answer (3) 3.2.1 | Quartile l¥Y RT 2RT correct answer DH LI Accept Lower Quartile/Q1 E (2) 3.2.2 YRT IRT for Q3 DH IQR = 3,1 —2,9YRT 13 1IRT for QI M =0,2kg ¥CA 1CA correct answer (3) 3.2.3 YRT CA from 3.2.2 DH Difference = 3,4 -3,1¥™ MCA IRT for maximum value L4 IMCA for subtracting Q3 E =0,3 kg Statement is correct¥O 10 for conclusion (3) Copyright Reserved Please Turn Over
“aheBwilddded from Stanmorephysias.com March 2026 Provincial 1RT for 12 months DH IRT for 10,4 kg a Q) same age and | 20 correct explanation DH L4 M of babies are (2) 1RT subtracting correct DH values L4 1CA answer M Poor nutrition / illness WO 10 correct explanation (3) [25] Copyright Reserved dfimorephysics.com Please Turn Over
Mathempicl bineeided from Stanmorephysias.com March 2026 Provincial QUESTION 4 [24 MARKS| Ques _ | Solution Explanation T&L 4.1.1 | It isa tax rebate/discount given for medical aid contributions that F reduces your tax payable to SARS.“™V¥O 20 correct explanation LI OR M A medical aid tax credit is a fixed amount that is deducted from the tax a person has to pay each month for contributing to a registered medical aid scheme.¥ YO (2) 4.1.2 YMA YMA YRT 1MA for adding 42678 F Tax Rate = R 42 678 + [26% x (R 370 500 — R 237 100)] 1MA for multiplying by L2 =R77 362 26% M IRT for 370 500 (3) 4.1.3 ¥MA a F IMA Itipl by 7,5% Annual taxable income = R22500 — (R22 500 x7,5%) and subtracting % ° L2 eo mie L YMA IMA multiplying by 12 M - il Avcorrect answer OR OR YMA , ee Annual Taxable Income = R 22 500 x 12 roultiplying by E2 v A. multiplying by 7,5% = R 270 000 —(R 270 000% en : ee =R249 750A 1A correct answer (3) 4.1.4 CA from Q4.1.3 F vA YSF 1A correct tax bracket bs Annual tax = R42 678 + 26% (R 249 750 — R 237 100) COFTECE TAX BLACKS M = R45 967V CA Rebate = R45 967 - R17 235 YMCA = R28 732 Tax payable = R28 732 — 12 (R 728 + R 246 +R 246)“W MCA =R14092YCA Tax payable per month = R14 092 + 12“~MCA =R1 174,33VCA 1SF correct substitution 1CA correct answer IMCA subtracting R 17 235 IMCA subtracting MTC 1CA answer IMCA dividing by 12 1CA simplification (8) Copyright Reserved Please Turn Over
MaheigWiiddded from Stanporephysicsncom March 2026 Provincial 4.2.1 | Total Cost F VAT VA vMA 1A for R6 800 L2 1A for R 540 M = R6800 + R540 + R2,16 [(Number of GB.250) — 250 GB] IMA for multiplying R2,16 and subtracting >250GB OR Total Cost 1A for R6 800 VA VA YMA 1A for R 540 =R6800+ R540 + R2,16 x n (where n is the number of GB IMA multiplying R2,16 by above 250) n (3) 4.2.2 CA from 4.2.1 B Total Cost for Residential 12 = R6 800 + R540 + R2,16 (500 — 250 GB) WSF 1SF substitution M = R7 880 Total Cost for Roaming = R6 800 + R900 + RY (500 — 100 GB ) WSF substitution =R11 300 Difference =R 11 300 —-R 7 880“ MCA CA subtracting =R3 420VCA A simplification Claim is INVALIDY O 8 Conclusion (5) [24] TOTAL MARKS: 100 Copyright Reserved

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KZN Maths Literacy Grade 12 March 2026 QP and Memo | Hlayiso