Mathematical Literacy Grade 12 P1 KZN Mock 2025 QP

KWAZULU-NATAL PROVINCE EDUCATION REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE { GRADE 12 | PREPARATORY EXAMINATION SEPTEMBER 2025 MARKS: 150 TIME: 3 hours This question paper consists of 11 pages and a 14-page SPECIAL ANSWER BOOK. Copyright Reserved Please Turn Over

September 2025 Preparatory Examination INSTRUCTIONS AND INFORMATION L. This question paper consists of FIVE 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. 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. ts Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 8. Write neatly and legibly. Copyright Reserved Please Turn Over

September 2025 Preparatory Examination QUESTION 1 1.1 The graph above shows the cost of a basic food basket and the minimum wage from December 2019 to December 2024. THE COST OF A BASIC FOOD BASKET AND THE MINIMUM WAGE Cost of food basket = Minimum wage <= oi RS 238,24 BS 383,38 ae R3 322 Minimum wage Dec Dec Dec Dec Dec Dec 2019 2020 2021 2022 2023 2024 [Extracted from www.instagram.com| Use the graph and information above to answer the questions that follow. 1.1.1. Write down the cost of the food basket in December 2019 in words. (2) 1.1.2 Identify the minimum wage in December 2021. (2) 1.1.3. Round off the cost of a food basket in December 2022 to the nearest hundred rands, (2) 1.1.4 Determine the difference between the cost of the food basket and the minimum wage in December 2024. (2) 1.1.5 Name the type of graph used to represent the minimum wage. (2) 1.1.6 The probability that a randomly selected minimum wage is less than the cost of the food basket in December 2021 is : . Express this probability as a percentage. (2) Copyright Reserved Please Turn Over

September 2025 Preparatory Examination 1.2. | TABLE 1 below shows an MTN contract offer. TABLE 1: MTN CONTRACT OFFER Description Cost per Month Contract Period Device | Samsung Galaxy S25 Ultra (256 GB) R660 36 months Yellow Delux: 6 GB anytime data >| C Plad 250 all-net minutes (FREE) R439 36 months NOTE: 1 gigabyte (GB) = 1 000 megabytes [Adapted from www.mtn.co.za] Use TABLE 1 and the information above io answer the questions that follow. 1.2.1 Convert the contract period to years. (2) 1.2.2 Determine the total amount the customer will pay for the 36-month contract. (3) 1.2.3. Calculate the total data the customer will receive in 36 months, expressed in megabytes. (3) 1.2.4 State ONE financial advantage of choosing this contract option instead of buying the phone cash and using prepaid services. (2) Copyright Reserved Please Turn Over

September 2025 Preparatory Examination 1.3 TABLE 2 below shows the number of learners and schools requiring transport in the nine provinces, as well as those that received transport in 2023/2024. TABLE 2: NATIONAL LAND TRANSPORT PROGRAMME PERFORMANCE 2023/2024 NLTP PERFORMANCE 2023/2024 NEEDS TARGET ACTUAL FIGURES PROVINCE No. of | No.of | No. of No. of % ot No. of No. of '% Learners Learners | Schools | Learners | Schools | Learners | Leamers Schools Against the in Need | in Need | Targeted | Targeted | Targeted | Transported Need Eastern Cape 131 272 1127 | 103 000 1 044 75% 124 421 1.004 91% Free State 8 431 147 8 431 147 100% 9958 | 147 118% Gauteng 217 664 690 | 200750 O44 92% 206 219 649 95% KwaZulu Natal |_ 237 066 1571 62.000 423 26% } __.. 433 31% Limpopo 72 480 568 64.907 538 | 90% 538 93% Mpumalanga 73.722 353 72 809 336 99% 336 99% North West 63 708 418 | 58979 340 93% 343 91% Northern Cape 26 783 278 | 26 286 269 98% 272 100% Western Cape 63 820 483 | 63 820 483 100% 495 105% TOTAL 900 946 5 635 | 660 982 4224 B% 707 053 4217 8% [Adapted from www.citizen.co.za] Use TABLE 2 and the information above to answer the questions that follow. 1.3.1 State whether the data in the table above is discrete or continuous. 1.3.2 Name the province with an outlier in the number of schools targeted for transport. 1.3.3 Identify how many schools in Gauteng are in need of transport assistance. 1.3.4 Express the total number of learners transported in 2023/2024 in millions. Copyright Reserved (2) (2) (2) (2) [30] Please Turn Over

September 2025 Preparatory Examination QUESTION 2 2.1 | Mr S Sampson receives his monthly bank statement. An extract from this statement is provided in ANNEXURE A in the ANSWER BOOK. NOTE: Branch Cash Withdrawal: Transaction fee = R90 + R4 per R100 or part thereof Use ANNEXURE A and the information above to answer the questions that follow. 2.1.1 Explain the term debit order according to the context. (2) 2.1.2 State ONE reason why many individuals prefer to receive their bank statements via email. (2) 2.1.3. Determine the value of A, which has been omitted from the bank statement. (2) 2.1.4 Calculate the total amount of all the debit transactions. (3) 2.1.5 Calculate the percentage that the (otal debit transactions represent of the final balance amount of R55 748,07. (3) 2.1.6 Determine the probability, expressed as a simplified fraction, that a randomly selected transaction is greater than R1 000. (3) 2.1.7 Calculate the transaction fee for Mr. Sampson’s withdrawal of R10 600 made inside the branch. (4) 2.1.8 Suggest ONE strategy that Mr Sampson can implement to reduce his monthly spending. (2) Copyright Reserved Please Turn Over

September 2025 Preparatory Examination 2.2. | Mr. Sampson has a daughter who will enter Grade 8 in 2026. He has applied for her admission to a public school, and the breakdown of the school fees is as follows: Annual fees: R19 000 Once off non-refundable admin fee: R150 (to accompany the application form) School Entrance Levy: R750 (to be paid when confirming acceptance) School Fee Deposit: R5 850 (to be paid when confirming acceptance) Stationery Fee: R900 (to be paid when confirming acceptance) 10% discount on annual school fees if all fees are paid by end of March [Adapted from Public School Info Website] Use the information above to answer the questions that follow. 2.2.1 Calculate the total amount required to confirm acceptance. 2.2.2 Determine the outstanding school fees balance after the deposit is paid to confirm acceptance. 2.2.3. Mr. Sampson has organised extra Mathematics lessons for his daughter at R800 per month from January to October. If he plans to pay the full annual school fees by the end of March, calculate the total amount he will spend on her education in 2026. (3) 2) (6) [32] Copyright Reserved Please Turn Over

September 2025 Preparatory Examination QUESTION 3 3,1 3.2) Copyright Reserved | Stock theft remains a major concern in rural areas of South Africa. ANNEXURE B in the ANSWER BOOK shows the types of livestock stolen from January 2025 to March 2025. Use ANNEXURE B and the information above to answer the questions that follow. 3.1.1 Identify the most frequently stolen type of livestock. 3.1.2 Calculate the range of livestock stolen from January to March 2025. 3.1.3. The mean number of livestock stolen is 5 245. A provincial police commissioner claimed that the missing value B (representing the number of goats stolen) is exactly 12 027. Use calculations to verify the commissioner's claim. 3.1.4 Determine poultry thefts as a percentage of the total livestock thefts, rounded to TWO decimal places. A student from a Sports Academy collected data on the hat sizes of two baseball teams, the Sharks and the Seals. This data is shown in the graph below. Hat Sizes 5 &§£§ 6 & 7 F&F 8 ge 9g 2 2 2 [Adapted from www.consenzaassociates.com] Use the graph and the information above to answer the questions that follow. 3.2.1 Define a box-and-whisker plot. 3.2.2 Calculate the interquartile range (IQR) for the Sharks team. 3.2.3. Compare the hat sizes between the two teams. 3.2.4 Give ONE reason for using the interquartile range (IQR) instead of the range to describe data. (2) (2) (5) G) (2) (4) (5) (2) [25] Please Turn Over

QUESTION 4 September 2025 Preparatory Examination 4.1 | A local rugby team is planning a tour to four countries: the United States, the United Kingdom, Australia, and Ireland. Below is a summary of the exchange rates for these countries, TABLE 3: NEDBANK EXCHANGE RATES Country Bank Buy Bank Sell US Dollar ($) 0,0571 0,0541 British Pound (£) 0,0425 0,0400 Euro (€) 0,0507 0,0475 Australian Dollar (AUSD) 11,0619 12,2100 [Adapted from www.nedbank.co.za] Use TABLE 3 and the information above to answer the questions that follow. 4.1.1 Identify the country in the table where the exchange rate is given as rand per unit of foreign currency. 4.1.2 Using the Bank Buy rate, calculate the value of £1 in rands. Express your answer in the form: £1=R.... (2) GQ) 4.1.3. A rugby player plans to exchange R25 000 for euros. Identify the exchange rate the bank will apply and calculate the amount of euros he will receive. (4) 4.1.4. At the end of the tour, a rugby player has 27 AUD and 105 USD to convert to rands. Calculate the total amount he will receive in rands. (6) 4.2 | Khethelo, a rugby player, downloaded the Hoghton temperature graph for the United Kingdom, which is shown in ANNEXURE C in the ANSWER BOOK. Use ANNEXURE C and the information above to answer the questions that follow. 4.2.1 Write down the stage of the statistical cycle displayed in ANNEXURE C. 4.2.2. Determine the median of the High temperatures. 2) (4) 4.2.3 A month is selected at random. Calculate the probability that its Low temperature is below 7.3 °C. Express your answer as a percentage. GB) 4.2.4 Khethelo stated that the difference between the interquartile range (IQR) of the Low Temperatures and the range of the High Temperatures is 6,3°C, rounded to one decimal place. Show, by means of calculations, whether Khethelo’s statement is CORRECT. NOTE: Qi and Q3 for Low Temperatures are 2,35 °C and 8,9 °C respectively. (8) Copyright Reserved [32] Please Turn Over

September 2025 Preparatory Examination QUESTION 5 del Copyright Reserved Mbongeni, a pharmacist at a local hospital with 30 years of service and an annual salary of R584 300, wants to find out his monthly annuity if he retires at the end of 2025. The Government Employees Pension Fund (GEPF) applies the following formulae: e Gratuity = 6.72% x annual salary x years of pensionable service e¢ Annual annuity = (1/55 x annual salary x years of pensionable service) + R360 Gratuity is lump-sum payment received upon retirement. Annual annuity is the annual payment received from a person’s retirement savings from which monthly payments are determined. Income replacement ratio (IRR) shows the percentage of pre-retirement income replaced by retirement benefits. [Adapted from www.mayaonmoney.co.za] Use the information above to answer the questions that follow. 5.1.1 Determine Mbongeni’s current monthly salary. 5.1.2 Mbongeni states that the gratuity he will get when he retires is approximately R1 200 000 rounded off to the nearest R100 000. Verify, showing ALL calculations, whether his statement is CORRECT. 5.1.3 Use the annual salary to calculate Mbongeni’s monthly annuity. 5.1.4 Hence, calculate Mbongeni’s income replacement ratio. You may use the formula: Monthly Annuity Monthly Income at Retirement INCOME REPLACEMENT RATIO (IRR) = x 100 % (2) (4) (4) (2) Please Turn Over

September 2025 Preparatory Examination 5.2 | The Sithole family, residing in Johannesburg, purchases prepaid electricity from the Johannesburg City Municipality. Below are the tariff rates for the 2024/2025 period. TABLE 4: JOHANNESBURG CITY PREPAID TARIFF RATES 2024/2025 BLOCK SIZE TARIFF (¢/kWh) (15 % VAT Excl.) I 0-350 kWh 221,62 2 > 350 —500 kWh 271,10 3 > 500 kWh 322,61 [Adapted from www.joburg.org.za] Use TABLE 4 and the information above to answer the questions that follow. 5.2.1 Mr Sithole purchased prepaid electricity for R1 200 (including VAT) to prepare for his daughter’s 21st birthday celebration. Calculate the VAT amount. (4) 5.2.2 Calculate the number of electricity units purchased with R1 200 using the tariff rate excluding VAT. (6) 5.3 Mr Sithole invested RO,5 million for 3 years in a bank that offers an interest rate of 6,5% per annum, compounded quarterly. He claims that he will earn R24 773,24 in interest after the third quarter. Verify with calculations whether his claim is correct. (9) [31] TOTAL MARKS: 150 Copyright Reserved