Mathematical Literacy Grade 12 P1 NW June 2025 QP (Eng)

PROVINCIAL ASSESSMENT GRADE 12 MATHEMATICAL LITERACY P1 JUNE 2025 MARKS: 100 TIME: 2 hour This question paper consists of 11 pages and an annexure. Copyright reserved Please turn over

Mathematical Literacy/P1 2 NW/June 2025 Grade 12 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANNEXURE to answer QUESTION 2.3. 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

Mathematical Literacy/P1 3 NW/June 2025 Grade 12 QUESTION 1 1.1 The graph below shows the learner enrolment in the Local Education Offices of North West Province during the 2022 academic year. The 2022 total number of enrolled learners in the North West Province was 841 035. LEARNER ENROLMENT IN LOCAL EDUCATION OFFICES Tswaing 33176 Ratlou 33136 Ramotshere Moiloa 36878 Mahikeng 74129 Ditsobotla 41202 Naledi 51701 Kagisano Molopo 34415 Greater Taung 51007 Matlosana 85016 Maquassi MaquassiHills Hils 22653 JB Marks 48329 Rustenburg 122035 Moses Kotane 61229 Moretele 46294 Madibeng 99835 0 20000 40000 60000 80000 100000 120000 140000 [Adapted from NW Dept of Education,Annual Performance plan,March 2024] Use the information above to answer the questions that follow. 1.1.1 Identify the type of the graph shown above. (2) 1.1.2 Write down the Local Education Office with the SECOND LOWEST number of enrolled learners. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 4 NW/June 2025 Grade 12 1.1.3 Dr Kenneth Kaunda is one of the districts in the North West Province.It consists of JB Marks, Matlosana and Maquassi Hills Local Education Offices. Calculate the total number of learners enrolled in Dr Kenneth Kaunda district. (3) 1.1.4 Calculate, as a unit ratio, in the form 1 : …, the number of learners enrolled in Naledi to the number of learners enrolled in Rustenburg. (3) 1.2 Tumelo owns two vehicles and he compared their services. TABLE 1 below shows the service of TWO different vehicles. TABLE 1: SERVICE FOR DIFFERENT VEHICLES (PRICES INCLUDE VAT) DESCRIPTION VW CITI GOLF TOYOTA YARIS Air filter R96,17 R250,44 Oil filter R51,92 R99,00 Fuel filter R158,65 R89,00 Right hand wiper blade R32,93 R135,25 Front brake pads R328,57 R686,64 Rear brake pads R619,38 R237,78 TOTAL R1 287,62 A [Adapted from http://businesstech.co.za ] Use TABLE 1 above to answer the questions that follow. 1.2.1 Determine the missing value, A. (2) 1.2.2 Express the price of the oil filter for the VW Citi Golf as a percentage of the total amount of the service. (3) 1.2.3 Calculate the total amount paid for the brake pads of the VW Citi Golf. (3) 1.2.4 Identify the car which is more cost effective when it is serviced. (2) [20] Copyright reserved Please turn over

Mathematical Literacy/P1 5 NW/June 2025 Grade 12 QUESTION 2 2.1 Lebogang lives in Tshwane and has a prepaid electricity meter in her home. Tshwane municipality uses sliding scale tariffs for prepaid electricity. TABLE 2 below shows the standard sliding scale tariffs per month for prepaid electricity. TABLE 2: 01 JULY 2023 to 30 JUNE 2024 STANDARD SLIDING SCALE TARIFFS PER MONTH FOR PREPAID ELECTRICITY UNITS (kWh) TARIFF PER UNIT ( R ) VAT INCLUSIVE 0–100 kWh 2,775755 101–400 kWh 3,248405 401–650 kWh 3,539125 > 650 kWh 3,81524 [Adapted from https:// www.martinique.co.za] TABLE 3 below show the readings on Lebogang’s electricity meter before and after she purchased electricity on 1 June 2024. TABLE 3: READINGS ON THE ELECTRICITY METER BEFORE AND AFTER THE PURCHASE OF ELECTRICITY ON 1 JUNE 2024. BEFORE PURCHASE AFTER PUCHACE READINGS 5,3 kWh 142,4 kWh Use TABLE 2 and TABLE 3 to answer the questions that follow. 2.1.1 Explain the meaning of the term tariff in this context. (2) 2.1.2 Lebogang purchased R398,00 worth of prepaid electricity (including VAT) on the 1 June 2024. (a) Show that the meter reading after purchase is CORRECT, rounded to the nearest whole number. (7) (b) Calculate the VAT amount on her electricity purchase. (3) Copyright reserved Please turn over

Mathematical Literacy/P1 6 NW/June 2025 Grade 12 (c) On the 15 June 2024 the meter reading was 82 kWh. Lebogang claimed that the units of electricity that were used from the day of purchase up to this date was more than 66 kWh. Verify, showing ALL calculations, whether her statement is VALID. (3) 2.2 Lesedi is 55 years old and earns a monthly taxable income of R36 780,00 in the 2024/2025 tax year. She does not belong to a medical aid. TABLE 4 below shows the tax table for the 2024/2025 tax year. TABLE 4: 2024/2025 TAX YEAR (1 March 2024 to 28 February 2025) Tax Taxable income (R) Tax rates ( R ) Bracket 1 0 – 237 100 18% of taxable income 2 237 101 – 370 500 42 678 + 26% of taxable income above 237 500 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 7 1 817 001 and above 644 489 + 45% of taxable income above 1 817 000 TABLE 5 below show the tax rebates for the 2024/2025 tax year. TABLE 5: TAX REBATES FOR THE 2024/2025 TAX YEAR TAX REBATES Primary (under age 65) R17 235,00 Secondary (age 65 and older) R9 444,00 Tertiary (age 75 and older) R 3 145,00 [Adapted from www.sars.gov.za] Use TABLE 4 and TABLE 5 above to answer the questions that follow. 2.2.1 Identify the tax bracket that Lesedi will use to calculate her income tax payable. (3) 2.2.2 Show how the amount of R121 475 in tax bracket 4 was calculated. (5) Copyright reserved Please turn over

Mathematical Literacy/P1 7 NW/June 2025 Grade 12 2.2.3 Lesedi took early retirement at the age of 56 after 29 years of pensionable service.Her normal retirement age is 60. Her final salary was R42 270. She retired four years early and her gratuity was reduced by 16%. NB: Gratuity is once-off lump sum. Calculate her reduction amount on her gratuity. You may use the following formula: 𝟏𝟓 Gratuity = Final salary ×( ) × Number of years of service 𝟐𝟔 (4) 2.2.4 After early retirement, Lesedi decided to invest R25 600 in a fixed deposit account for 1½ years at a compound interest of 8,60% per annum. Calculate, without the use of the formula, the value of the investment at the end of the period. Show ALL the steps of the calculations. (6) 2.3 The ANNEXURE shows the North West Department of Education’s Expenditure during 2021/2022 and 2022/2023. Use the ANNEXURE to answer the questions that follow 2.3.1 Identify the item that was over spent by less than R20 million in 2021/2022. (2) 2.3.2 Calculate the percentage change of the allocated amount for sports and culture between 2022/2023 and 2021/2022. You may use the following formula: 𝐧𝐞𝐰 𝐩𝐫𝐢𝐜𝐞−𝐨𝐥𝐝 𝐩𝐫𝐢𝐜𝐞 Percentage change = × 𝟏𝟎𝟎% 𝐨𝐥𝐝 𝐩𝐫𝐢𝐜𝐞 (3) 2.3.3 The School Nutritional Programme under spent by 0,512% of the allocated amount during 2022/2023. The teacher stated that the value of B, the actual expenditure of the School Nutritional programme, will be less than R595 005 000. Verify, showing ALL calculations, whether the claim is VALID. (6) [44] Copyright reserved Please turn over

Mathematical Literacy/P1 8 NW/June 2025 Grade 12 QUESTION 3 3.1 The growth chart below shows the length and weight -for-percentiles of girls from birth to 36 months. [Adapted from http:// www.who.int] Use the growth chart above to answer the questions that follow. 3.1.1 Write down, in centimetre (cm), the length of a girl that is 6 months old and positioned on the 50th percentile. (2) 3.1.2 A 18 month old girl weighs 22 lb. Identify the TWO percentiles between which the weight of the girl will be positioned. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 9 NW/June 2025 Grade 12 3.2 TABLE 6 below shows the number of learners in Further Education and Training (FET) in South Africa during 2022. TABLE 6: NUMBER OF LEARNERS IN FET IN SOUTH AFRICA PROVINCE GRADE 10 GRADE 11 GRADE 12 TOTAL Eastern Cape 150 384 120 993 100 224 371 601 Free State 65 970 45 156 44 478 155 909 Gauteng 217 926 166 069 142 380 526 375 KwaZulu Natal 265 344 240 164 179 968 685 476 Limpopo 159 557 125 375 112 773 397 705 Mpumalanga 100 529 84 902 72 226 257 657 Northern Cape 24 477 16 189 14 152 54 818 North West 72 180 53 708 45 220 171 108 Western Cape 92 070 75 494 63 904 231 468 [Adapted from www.education.gov.za EMIS] Use TABLE 6 above to answer the questions that follow. 3.2.1 Choose the correct option (A, B, C, D or E) that represents the stage in the data handling process where the above data will be recognised as numerical data. A Collecting data B Summarising data C Analysing data D Classifying and organising data E Representing data (2) 3.2.2 Calculate the range of the number of grade 12 learners. (3) 3.2.3 Give a reason why the number of grade 10 learners in the Northern Cape is considered to be an outlier in the data set for grade 10 learners. (2) 3.2.4 The mean number for grade 12 learners is 81 122,78. A Principal claimed that the difference in the mean mark for both grade 11 and 12 is less than 21 600. Verify, showing ALL calculations, whether the Principal’s claim is VALID. (5) 3.2.5 Determine the probability, as a percentage, of randomly selecting a grade 11 learner from Limpopo Province of all the grade 11 learners. (3) 3.2.6 Comment on the trend of the number of learners from grade 10 to 12. Give ONE reason for this trend. (4) [23] Copyright reserved Please turn over

Mathematical Literacy/P1 10 NW/June 2025 Grade 12 QUESTION 4 4.1 Terry wants to visit his brother who is staying in Canada. Before he leaves, he wants to exchange R1 670,00 for Canadian dollar. TABLE 7 below shows the currency conversion factors for Countries as at 23 February 2025. TABLE 7: CURRENCY CONVERSION FACTOR FOR FIVE COUNTRIES AS AT 23 FEBRUARY 2025 CURRENCY UNIT PER ZAR ZAR PER UNIT Canadian Dollar (CAD) 0,077572 12,891276 Swiss Franc ( CHF) 0,048928 20,438165 Indian Rupee (INR) 4,720072 0,211861 Botswana Pula (BWP) 0,750625 1,332224 Libyan Dinah (LYD) 0,266678 3,749838 [Adapted fromwww.x-rates.com] Use TABLE 7 to answer the questions that follow. 4.1.1 Define the term Exchange rates. (2) 4.1.2 Identify the currency that is weaker than the South African rand. (2) 4.1.3 Calculate the amount Terry will receive in Canadian Dollar (CAD). (3) Copyright reserved Please turn over

Mathematical Literacy/P1 11 NW/June 2025 Grade 12 4.2 The box and whisker plot below shows the number of people (in million) who downloaded the TikTok app worldwide from 2018 to 2024. NUMBER OF PEOPLE WHO DOWNLOADED TIKTOK APP FROM 2018 TO 2024. [Adapted from www.businessof apps.com] Use the box and whisker plot above to answer the questions that follow. 4.2.1 Write down the 50th percentile of the number of people who downloaded TikTok app. (2) 4.2.2 The interquartile range for the number of people that downloaded TikTok is 52,58 million. Calculate the value of the upper Quartile (Q3). (4) [13] TOTAL: 100 Copyright reserved

Mathematical Literacy/P1 NW/June 2025 Grade 12 ANNEXURE QUESTION 2.3 TABLE 6: EXPENDITURE IN THE DEPARTMENT OF EDUCATION 2022/2023 2021/2022 DETAILS ALLOCATED ACTUAL ALLOCATED ACTUAL BUDGET EXPENDITURE BUDGET EXPENDITURE (R 000) (R 000) (R 000) (R 000) Public Primary 8 941 949 8 960 389 8 694 899 8 689 697 Public Secondary 5 658 844 5 322 967 5 127 040 5 112 921 Human Resource 49 520 46 311 32 449 30 079 Development Sports and 37 840 28 760 39 236 15 551 Culture School Nutritional 597 063 B 547 682 506 709 programme Maths, Science and Technology 44 520 37 623 41 592 2 845 grant [Adapted from Department of Education Annual report 2022/2023 Financial year] Copyright reserved