Mathematical Literacy Grade 12 GP March 2023 Paper & Memo

Downloaded from Stanmorephysics.com S) GAUTENG PROVINCE g EDUCATION REPUBLIC OF SOUTH AFRICA Johannesburg North District (D10) March:-2023 End.of Term.1 Control Test , rr Grade 12 Mathematical-Literacy eee ee rd Marks: 100 Time : 2 hours This question paper consists of 10 pages including this cover page, ANNEXURE and ANSWER SHEET

Downloaded from Stanmorephysics.com INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. 2.1 Use ANNEXURE A to answer QUESTION 1.1 2.2 Answer QUESTION 3.1 on ANSWER SHEET 1 3. Show ALL calculations clearly 4. Write neatly and legibly. 5. You may use an approved calculator, unless stated otherwise. 4. Round off ALL final answers appropriately according to the given context, unless stated otherwise 5. Indicate units of measurement, where applicable. 6. Number the answers correctly according to the numbering system used in this question paper. Page 2 of 10

QUESTION 1 1.1 Downloaded from Stanmorephysics.com A summarised Statement of Financial Performance for Endumeni Local Municipality for the year ending 30 June 2022 is in ANNEXURE A. Use ANNEXURE A to answer the following questions: 1.1.1 1.1.2 1.1.3 1.1.4 1.15 1.1.6 1.1.7 1.1.8 1.1.9 How much does does this municipality make from Licences and permits? Calculate the value of A, Revenue from non-exchange transactions. Write down the revenue from ‘Interest earned - external investments’ amount in words. Round off the amount spent on Remuneration for Councillors to the nearest R100 000. Write your final answer using the word ‘million’. Define the term expenses in this context. On what does the Endumeni Municipality spend the highest amount of money on? Determine the value of B, the surplus/deficit for the period. You may use the formula: Surplus/deficit = Total revenue — Total expenses Is the value of B calculated above a surplus or deficit. What percentage of expenses is spent on operational expenses? Round off your answer to the nearest one decimal place. You may use the following formula: . Operational costs % of expenses spent on operations = —P&=n# Oss Total expenses x 100 % Page 3 of 10 (2) (2) (2) (2) (2) (2) (2) (2) (3)

1.2 Downloaded from Stanmorephysics.com The graph below shows the population by age breakdown of KwaZulu Natal province and two of its municipalities, Endumeni and Umzinyathi. 30 25 20 15 Percentage 10 Population-by-age breakdown 1 25,6 ] (26,2 ] 23,8 ] 43,5 19,9 ] 24, T 20,7 19,4 119,21 14,4 3,7 5,9 6,4 0-9 10-19 20-29 30-39 40-49 50-59 60-69 70-79 80+ Age group GEndumeni GUmazinyathi OKwaZulu Natal Use the graph to answer the following questions: 1.2.1 1.2.2 1.2.3 1.2.4 1.2.5 1.2.6 Name type of graph used to represent the information above. Which age group has the second highest percentage of people in Umzinyathi? What is the difference in percentage between Umzinyathi and Endumeni in the 10 — 19 age group? Arrange the percentages for Endumeni Municipality in descending order. According to Statistics South Africa (Stats SA), the population of KwaZulu Natal was 11 065 240 in the year 2016. Using values in the graph above, calculate the number of people in the age group 20 — 29 in this province. Is the data represented in the graph categorical or numerical? Page 4 of 10 (2) (2) (2) (2) (3) (2) [32]

Downloaded from Stanmorephysics.com QUESTION 2 TABLE 1 below shows domestic water tariffs for City of Johannesburg for the years 2021/22 and 2022/23. TABLE 1: City of Johannesburg Water Tariff a Tariff (R/kl) excl. VAT Bands (kilolitres) abt ) 2022123 % Increase 0-6 RO, 00 R0,00 - >6-10 20, 28 22,26 9,76 > 10-15 21,17 23,23 9,73 >15-20 29,68 32,57 9,74 > 20-30 41,01 45,01 9,75 > 30-40 44,86 49,23 9,74 > 40-50 56,59 62,11 9,75 >50 60,65 A 9,74 [adapted from: Joburg.org.za] Use TABLE 1 to answer the following questions: 2.1 2.2 2.3 2.4 2.5 2.6 Define the term tariff in this context. What does the abbreviation VAT stand for? The tariff for the >50 band increased by 9,74% as shown on TABLE 1. Calculate the value of A. Show how the percentage increase of 9,73% for the > 10 — 15 band was calculated. The Molefe household used 18,3 kl of water in January 2023. 2.5.1 The average residential water consumption in South Africa is 111, 79 litres per person per day. If there are 5 people in the Molefe household, determine whether this household consumes more or less than this average using a 30 day month. 2.5.2 Calculate the cost of their water usage including 15% VAT. Mr Molefe thinks their water bill is too high. Suggest two ways they could reduce water consumption in their home. Page 5 of 10 (2) (2) (2) (3) (6) (6) (4) [24]

Downloaded from Stanmorephysics.com QUESTION 3 TABLE 2 below shows the matric pass rate of the 9 provinces in South Africa from the years 2019 to 2022. TABLE 2: Matric Pass Rate (as a percentage) per Province Province\Year 2019 2020 2021 2022 Gauteng 87 84 83 84,4 Western Cape 82 80 81 81,4 KwaZulu Natal 81 78 77 83 Free State 88 85 86 85,5 North West 87 76 78 79.8 Eastern Cape 77 68 73 77,3 Limpopo 73 68 67 A Mpumalanga B 74 73 76,8 Northern Cape 7 66 71 74,2 Use TABLE 2 above to answer the following questions: 3.1 3.2 3.3 3.4 3.5 3.6 An incomplete bar graph for the year 2020 matric results is drawn on ANSWER SHEET 1. Complete this bar graph on ANSWER SHEET 1. Which province recorded the second lowest pass rate in 2021? In 2022 Limpopo province recorded the lowest pass rate of the nine provinces. If the range of the pass percentages for this year (2022) was 13;4%, calculate the value of A, the pass rate for Limpopo in 2022. If the mean pass rate for 2019 is 81,3% calculate the value of B, the pass rate for Mpumalanga. [Adapted from: www.education.gov.za’ The Minister of Education announced that 92 285 candidates passed matric in Gauteng in the year 2020. Calculate the total number of learners that sat for the 2020 examinations in Gauteng? All the provinces recorded a drop in results in the year 2020. Suggest a reason why this was the case. Page 6 of 10 (3) (2) (3) (4) (3) (2) [17]

Downloaded from Stanmorephysics.com QUESTION 4 4.1. The box-and-whisker diagram below represents the number of learners who offered Mathematical Literacy per school in the Johannesburg North district in the year 2020. FIGURE 1: Number of learners offering Mathematical Literacy per school in Johannesburg North District in 2020 4 39 68 105 171 -— | 3 2 Pa % % 1% i 1 1% Use the box-and-whisker diagram above to answer the following questions: 4.1.1 Write down the 5 number summary from the box-and-whisker diagram above. 4.1.2 Write down the percentage of schools that had 105 or more learners offering Mathematical Literacy? 4.1.3 Calculate the interquartile range of the above data. 4.1.4 If Johannesburg North District had 70 schools with learners registered for Mathematical Literacy, calculate the number of schools who had between 39 and 105 learners doing Mathematical Literacy. Page 7 of 10 (4) (2) (3) (3)

4.2 Downloaded from Stanmorephysics.com Mrs Maphumulo, 40 years old, is employed by Endumeni Municipality as a supervisor. She earns a monthly taxable income of R23 500 per month for the 2021/22 tax year. Mrs Maphumulo, her husband and their child belong to a medical aid scheme. TABLE 1 below shows the tax table for the 2021/22 tax year. TABLE 1: TAX RATES FOR 2021/22 TAX YEAR (1 Mar. 2021 to 28 Feb. 2022) TAX TAXABLE BRACKET | INCOME (R) RATES OF TAX (R) 1 1-216 200 18% of taxable income 2 216 201 — 337 800 38 916 + 26% of taxable income above 216 200 3 337 801 — 467 500 70 532 + 31% of taxable income above 337 800 4 467 501-613 600 | 110 739 + 36% of taxable income above 467 500 5 613 601 — 782 200 163 335 + 39% of taxable income above 613 600 6 782 201 — 1 656 600 | 229 089 + 41% of taxable income above 782 200 7 1 656 601 and above | 587 593 + 45% of taxable income above 1 656 600 [Adapted from: www.sars.gov.za] TABLE 2 below shows the tax rebates and medical aid credits for the 2021/2022 tax year. TABLE 2: Tax rebates and medical aid credits for the 2021/22 tax year TAX REBATE Primary R15 714 Secondary (65 years and older) R8 613 Tertiary (75 years and older) R2871 MEDICAL CREDITS PER MONTH FOR MEDICAL FUND MEMBERS Main member R332 First dependent R332 Each additional dependent R224 [Adapted from: www.sars.gov.za] 4.2.1 Calculate Mrs Maphumulo’s annual taxable income for the 2021/22 tax year. (2) 4.2.2 Calculate Mrs Maphumulo’s medical credits for the tax year in question. (3) 4.2.3 Calculate the amount of tax Mrs Maphumulo must pay for 2021/22 tax year. (6) 42.4 Name one other type of tax, besides income tax, that is levied on citizens. Give one reason why it is important to pay taxes. (4) [27] Page 8 of 10

Downloaded from Stanmorephysics.com ANSWER SHEET 1 QUESTION 3.1 SURNAME & NAME: CLASS: 2020 Matric Provincial Pass rates 90 80 70 60 2 50 Qa o g 5 40 Fe a 30 = -— a 20 10 0 ro Ss se a cS we oe & » 3 s SS 2 s x > cg 3s we Ss Ro a ro = rl a s Provinces Page 9 of 10

Downloaded from Stanmorephysics.com ANNEXURE A QUESTION 1.1 Endumeni Local Municipality: Statement of Financial Performance for the year ending 30 June 2022 R REVENUE Revenue from exchange transactions 163 255 233 Service charges 155 978 689 Rental facilities and equipment 3 867 981 Interest earned — external investments 811 958 Licences and permits 2 195 959 Operational revenue from exchange transactions 400 645 Revenue from non-exchange transactions A TOTAL REVENUE 356 014 352 EXPENSES Employee related costs 135 587 459 Remuneration for councillors 4 484 263 Operational costs 6 718 683 Municipal services costs 48 228 195 Bulk purchases electricity 145 803 039 Other expenses 6 404 358 TOTAL EXPENSES 347 225 997 Surplus / deficit for the period B Page 10 of 10 [Adapted from www.endumeni.gov.za]

= 5; GAUTENG PROVINCE By REPUBLIC OF SOUTH AFRICA Johannesburg North District (D10) March 2023 End of Term 1 Control Test MARKING GUIDELINE Marks: 100 Time : 2 hours This marking guideline consists of 10 pages including this cover page and taxonomy grid

QuesHieNiigavakkyom Stanmorephysics.com L 1.1.1 IR2 195 959 JA OUP 1 A 2195 959 FLI1 1PunitR (2) 1.1.2 IA = 356 014 352 — 163 255 233 IM 1 M Method FL1 = 192 759 119 DA 1 A Answer INB: AO full marks (2) 1.1.3 {811 958 ~ eight hundred and eleven thousand, {2 A Answer FL1 nine hundred and fifty eight UUA (2) 1.1.4 4 484 263 ~ 4500 000 UR 1 R correct rounding FL1 = 4,5 million JCA 1 CA from above (2) 1.1.5 |Expenses —amounts of money spent by the 2 D Definition FL1 Imunicipality. JUD (2) 1.1.6 [Bulk purchases electricity JURT 2 RT correct answer (2) | FL1 1.1.7 IB = 356 014 352 — 347 225 997 UMA 1 MA subtracting FL1 _ correct values = 8 788 355 [CA 1 CA from above (2) 1.1.8 Surplus UUCA 2 CA from 1.1.6 (2) | FL1 1.1.9 0718 683 1 SF Substitution 1 FL1 % spent on operations = 347 225 997x100%1 SF ubstiturion = 1. 9349...0CA ICA from above , 1 R/CA i A fi = 1.9% ORICA /CA rounding / CA from above (3) 1.2.1 Multiple bar graph 00A 1 A Multiple DH L1 1 A Bar graph (2) 1.2.2 (0 — 9 10 RG age group 2 RG Answer (2) |DHLI 1.2.3 Difference = 26, 2% — 21, 9% IMA 1 MA Subtraction DH L1 F 4, 3% CA 1 CA from above (2) 1.2.4 23,5 ; 21,9 ; 19,9 ; 14,4; 7,8;5,9; 3,9; 2,2;0,5 |2 A —If all values correct DHL1 O0A 1 A—Tf one value misplaced NB: INo marks if 2 or more values misplaced No marks if order reversed (2) Page 2 of 10

1.2.5 Downloaded Tfronretanmorephysics.aans 1% DH No. of people = 19,1 % x 11 065 240 1M Multiplying by Ll = 2 113 460, 84 11 065 240 = 2113 461 JA 1 A Answer NPR (3) 1.2.6 Numerical 00A 2 A Answer (2) | DH L1 TOTAL: 32 MARKS QUESTION 2: [24 MARKS] Page 3 of 10

Downloaded from Stanmorephysics.com F 2.1 Tariff is the charge or fee per kilolitre per band. 00D 2 D Definition (2) | £1 F 2.2 VAT — Value Added Tax O0A 2 A Answer (2) L1 2.3 A = 1,0974 x R60,65 DM YR. Increase = 9,74% x R60,65 | 1 M Multyiplying by F = R66, 56 JA = R5, 91 0M % L2 A= 1 A Answer RGO, 65 + R5,91 (2) R66, 56 A 2.4 0M 1M Correct values in F % Increase = 23____,23- 21,17 X100% DM fraction L2 21,17 1M multiplication by = 9.7307 ....% OCA 100% 1 CA from above NP (3) 25.1 OM 0M 1M Multiply by 5 F Water consumption per month = 111,79 x 5 x 30 1M Multiply by 30 L4 = 16 768,5 litres DA 1 A Answer in litres = 16, 7685 kl UC 1 C Converting to kl .. The Molefe household consumes less than the averageC | 1 C Conclusion OR 18,3 kl = 18 300 10C OM 0M 1 C Converting to | Average per person = 18 300 = 5 + 30 1M Divide by 5 =12210A 1M Divide by 30 . The Molefe household consumes less than the averageC_ | | A Answer 1CConclusion (5) 2.5.2 18,3 kl 1AR81,12 F 6 kl @ RO,00 = RO,00 1A R116,12 L3 4kl x R22,26 = R89,04 0A 1 A R107,48 5 kl x R23,23 = R116,15 0A 1 CA Adding above 3,3 kl x R32,57 = R107,480A Values Cost excluding VAT = R312,620CA 1 MA Adding VAT Cost incl. VAT = R312,62 « 1,15 DMA 1 CA from above = R359,57 CA (6) 2.6 - Use the shower instead of the bath O00 40 Any 2 valid F - Use bucket instead of hose to wash the car etc UJO suggestions (4) | L4 TOTAL: 24 MARKS Page 4 of 10

QuEsPRNDOaHGdRKEpM Stanmorephysics.com 3.1 DH : sos L2 2020 Matric Provincial Pass rates 90 so FY mF 60 4 = ¢ = - = 250 = e TF = 2 = = = E40 4 = = = = a i = 30 = 20 = w A = oO = s & SS re rs oo s we oo Se os > Oa - s aa = = A rad 3s s v eS RS a aS ¥ » aS Provinces v A Bar of Free State v A Bar of North West 0 A Bar of Limpopo GB) 3.2 Northern Cape [1] RG 2 RG Reading from DH graph (2) L2 3.3 Range = Max. — Min JM 1M Concept of range DH 13,4=85,5-A L2 A = 85,5 — 13,4 UM 1M Subtracting A=72,10A 1A Answer (3) Page 5 of 10

3.4 Downloaded, from Sfanmanephysics.com 1M Concept of mean | DH 81,3 = 652+B/9 1M 731,7 L3 652 +B=81,3x9 1M Subtracting B=731,7-6520M 0M correct values B=79,70A 1 A Answer (4) 3.5 No. of learners = 92 285 = 0,84 00M 2 M Dividing by 0,84 DH = 109 863,095... L2 = 109 863 JA 1 A Answer (3) 3.6 Prolonged school closure due to lockdown because of covid- | 2O Reason (2) NB:| DH 19. 000 Accept other L4 valid reasons TOTAL: 17 MARKS Page 6 of 10

QuESPIONUDaMMaRKEpM STanmorephysics.com 411 Minimum = 4 OM 1M Names of 5 DH Lower Quartile (Qi) = 39 ORT number summary L2 Median (Q2) = 68 ORT 1 RT Median value Upper Quartile (Q3) = 105 ORT 1 RT Min. & Max Maximum = 171 1 RT Qi, Q2 & Q3 (4) 4.1.2 Percentage = 25% UUA 2 A Answer (2) | DH L2 4.1.3 LQ.R. = Q3-Q: IM 1M Concept of IQR DH = 105-39 0CA 1CA from 4.1.1 L2 = 66 0CA 1CA from above (3) 4.1.4 No. of schools = 50% = 70 UM UM 1M for 50% DH =350CA 1M Multiplying by 70 L3 1 CA from above (3) 4.2.1 Annual taxable income = R23 500 x 12 UMA 1 MA Multiplying by 12 F = R282 0000 A 1 A Answer (2) | 12 4.2.2 OM OM 1M Adding 3 correct F Medical tax credits = (R332 + R332 + R224) x 12 Values L2 = R888 x 12 1M Multiplying by 12 = R10 656 ICA 1 CA from above (3) 4.2.3 Tax = 38 916 + 26% of T.I. above 216 200 0 CA/RT 1 CA/RT correct bracket F = 38 916 + 26% x (282 000 — 216 200) 0 SF/CA CA from 4.2.1 L3 = 38 916 + 26% x 65 800 1 SF Substitution = 38 916 + 15 1340S CA from above = R56 924 0CA 1S for R15 134 Less primary rebate and medical scheme credits 1CA for R54 050 = R56 924- R15 714— R10 656 UM 1M subtracting rebate & = R29 654 0CA medical credit 1 CA Answer (6) 4.2.4 - Value Added Tax (VAT) HUA 2 A Any one type of tax F - Import duty L4 - Capital gains tax - Transfer duty etc Reasons: 000 2 O Any one reason - Helps build the nation, it is a source of income for government Page 7 of 10

Popnioae tDOAAIR OLGA Ser RAJ) - Improve healthcare and education (4) TOTAL: 27 MARKS GRAND TOTAL: [100] TAXONOMY GRID GRADE 12 Page 8 of 10

Downloaded from SikremmranendwisicteRany TERM 1 CONTROL TEST MARCH 2023 z| = TAXONOMY LEVE S| 2; = APPLICATION TOPICS g a = 2 ll 3 iS 3 wb S zZ J < 2 z = Z g 3 x 5 a a s z <3 Ee 1 2 3 g C w a az << a @ a 3 3 & a ¢ = 2 4 3 Es & 3 = 1.1.1 2 2 2 112 2 2 2 113 2 2 2 1.1.4 2 2 2 15 2 2 2 11.6 2 2 2 1.1.7 2 2 2 1 118 3 3 3 119 2 2 2 1.2.4 2 2 2 1.2.2 2 2 2 123 2 2 2 1.24 2 2 2 1.2.5 3 3 3 1.2,6 2 2 2 TOTAL 19 2 . 13 : 32 2 c 32 24 2 2 2 2.2 2 2 2 2.3 2 7] 2 2 24 3 3 3 2.5.1 5 5 2.5.2 6 6 6 Page 9 of 10

rom Sj Jfanmo: m Powatoaced rephysics.co 4 4 TOTAL 24 = = = 4 5 6 9 24 3.1 3 3 3 3.2 2 2 2 3.3 3 3 3) 3 3.4 4 4 4 3.5 3 3 3 3.6 2 2 2 TOTAL - - - 7 - - 11 4 2 17 4.11 4 4 4 4.1.2 2 2 2 4.1.3 3 3 3 414 3 3 3 4 4.2.1 2 2 2 4.2.2 3 3 3 4.2.3 6 6 6 4.2.4 4 4 4 TOTAL 15 > = 12 = 14 9 4 27 TOT ALS F M M,P. D.H. P 1 L2 13 4 TOTAL 36 30 19 15 58 - - 42 - 100 TOTAL Qp% 58% - - 42% - 36% 30% 19% 15% 100% Page 10 of 10