Mathematical Literacy Grade 12 P1 2026 QP (Eng)

Prediction hlayiso mock exams Practice Series: Grade 12 NSC Preparation WWW.HLAYISO.COM NATIONAL SENIOR CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P1 PREDICTION EXAMINATION 2026 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages and a SPECIAL ANSWER BOOK of 17 pages. Copyright reserved Please turn over

Mathematical Literacy/P1 2 Hlayiso/Prediction 2026 NSC Prediction INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. Answer ALL the questions ONLY in the SPECIAL ANSWER BOOK provided. 3. ANNEXURES A, B and C and ANSWER SHEETS 3.1.5 and 4.1.3 are printed in the SPECIAL ANSWER BOOK. 4. You may use an approved calculator (non-programmable and non-graphical), unless stated otherwise. 5. Show ALL calculations clearly. 6. Round off ALL final answers appropriately according to the given context, unless stated otherwise. 7. Indicate units of measurement, where applicable. 8. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 9. Write neatly and legibly. Copyright reserved Please turn over

Mathematical Literacy/P1 3 Hlayiso/Prediction 2026 NSC Prediction QUESTION 1 1.1 TABLE 1 below gives definitions of terminology used in Mathematical Literacy. TABLE 1: DEFINITIONS OF TERMINOLOGY USED IN MATHEMATICAL LITERACY LETTER DEFINITION A The value below which 75% of the values of an ordered data set lie B An amount subtracted from the income tax payable, which depends on the age of the taxpayer C The situation when the total income is more than the total expenditure D A smaller group selected from a larger group in order to collect data E A fee charged for providing a service, often calculated as a percentage of the amount of the transaction F The value below which 25% of the values of an ordered data set lie G The situation when the total expenditure is more than the total income H The total income earned before any deductions are subtracted Use TABLE 1 above and match the definitions with the terminology below. Write only the letter (A–H) next to the question numbers (1.1.1 to 1.1.4) in the ANSWER BOOK, e.g. 1.1.5 I. 1.1.1 Lower quartile (2) 1.1.2 Surplus (2) 1.1.3 Rebate (2) 1.1.4 Commission (2) Copyright reserved Please turn over

Mathematical Literacy/P1 4 Hlayiso/Prediction 2026 NSC Prediction 1.2 Zanele (18 years old) is learning to drive at a driving school in Polokwane. She received the tax invoice below. Some information has been omitted. PHAKAMANI DRIVING ACADEMY (PTY) LTD – TAX INVOICE VAT Reg. No.: 4000000000 Invoice No.: PDA 2026/0415 Date: 14/03/2026 Customer: Z. Mokoena DESCRIPTION QTY UNIT PRICE AMOUNT Learner’s licence preparation class 1 R250,00 R250,00 Driving lessons (45 minutes each) – 1 R2 950,00 R2 950,00 package of 10 lessons Extra single driving lesson (45 minutes) 3 A R960,00 Hire of school vehicle for the driving test 1 R700,00 R700,00 TOTAL (VAT included) B [Examiner’s own invoice] Use the tax invoice above to answer the questions that follow. 1.2.1 Determine the missing value A, the price of ONE extra single driving lesson. (2) 1.2.2 Calculate the missing value B, the total amount on the invoice. (2) 1.2.3 Calculate how much Zanele saved by buying the package of 10 lessons instead of paying for 10 single lessons at the price of an extra single lesson. (2) 1.2.4 Write down, in the form 1 : . . ., the ratio of the cost of ONE lesson in the package of 10 lessons to the cost of ONE extra single lesson. Round off your answer to TWO decimal places. (3) 1.3 Khanyisa Mall is a shopping centre in Mthatha. The mall’s management keeps a record of the number of shoppers who enter the mall. TABLE 2 below shows the number of shoppers during the festive season. Some information has been omitted. TABLE 2: NUMBER OF SHOPPERS AT KHANYISA MALL FROM NOVEMBER 2025 TO JANUARY 2026 WEEKENDS AND MONTH WEEKDAYS TOTAL PUBLIC HOLIDAYS November 2025 486 215 312 640 798 855 December 2025 612 480 636 026 A January 2026 455 902 268 117 724 019 [Examiner’s own data] Use TABLE 2 above to answer the questions that follow. 1.3.1 Write down the month in which the lowest number of shoppers visited the mall on weekdays. (2) 1.3.2 State whether the number of shoppers is discrete data or continuous data. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 5 Hlayiso/Prediction 2026 NSC Prediction 1.3.3 Calculate the missing value A. (2) 1.3.4 The total number of shoppers for the three months was 2 771 380. Write this number in words. (2) 1.3.5 Name ONE method that the mall’s management could have used to collect the data in TABLE 2. (2) 1.3.6 A shopper who visited the mall in November 2025 is selected at random. Determine, as a percentage, the probability that this shopper visited the mall on a weekday. (3) [30] Copyright reserved Please turn over

Mathematical Literacy/P1 6 Hlayiso/Prediction 2026 NSC Prediction QUESTION 2 2.1 Mr Bongani Zulu is 67 years old. He works as the financial manager of a transport company in Pietermaritzburg. The following information is about his income and deductions for the 2025/2026 tax year: • His monthly salary is R38 500. • In December he received a bonus equal to ONE month’s salary. • He contributes R2 400 per month to a retirement annuity. This contribution is tax deductible. • He belongs to a medical aid scheme that covers himself and his wife. ANNEXURE A in the ANSWER BOOK shows the tax rates, tax rebates and medical tax credits for the 2025/2026 tax year. Use ANNEXURE A and the information above to answer the questions that follow. 2.1.1 Calculate Mr Zulu’s total gross income for the 2025/2026 tax year, including his bonus. (2) 2.1.2 Show that Mr Zulu’s annual taxable income is R471 700. (3) 2.1.3 Identify the tax bracket that will be used to calculate Mr Zulu’s income tax. (2) 2.1.4 Calculate Mr Zulu’s annual income tax payable after ALL the rebates and medical tax credits that apply to him have been deducted. (7) 2.1.5 Ms Naidoo is 45 years old. She has exactly the same taxable income and belongs to a medical aid scheme that covers herself and her husband. She claims that she pays more than R10 000 more income tax per year than Mr Zulu. Verify, showing ALL calculations, whether her claim is VALID. (4) 2.2 Mr Zulu’s daughter, Lindiwe, wants to buy a lounge suite. A furniture store offers her TWO payment options, as shown below. 3-PIECE LOUNGE SUITE – PAYMENT OPTIONS OPTION 1: CASH OPTION 2: HIRE PURCHASE (HP) Cash price: R14 999,00 • Deposit of 10% of the cash price (VAT included) • 24 monthly instalments of R729,95 each • A monthly service fee of R69,00 is added to each instalment [Adapted from a furniture store advertisement] Use the information above to answer the questions that follow. 2.2.1 Explain the term hire purchase. (2) 2.2.2 Calculate the cash price of the lounge suite, excluding VAT. (3) Copyright reserved Please turn over

Mathematical Literacy/P1 7 Hlayiso/Prediction 2026 NSC Prediction 2.2.3 Calculate the total amount Lindiwe will pay for the lounge suite if she chooses OPTION 2. (4) 2.2.4 Determine how much more she will pay for the lounge suite if she chooses OPTION 2 instead of OPTION 1, expressed as a percentage of the cash price. (3) 2.2.5 Give ONE possible reason why a customer may choose OPTION 2 even though it is more expensive. (2) [32] Copyright reserved Please turn over

Mathematical Literacy/P1 8 Hlayiso/Prediction 2026 NSC Prediction QUESTION 3 3.1 A Mathematical Literacy teacher asked the 15 learners in class 12A how many hours they had spent studying during the week before the preparatory examination. The data is given below. 12 8 31 6 11 14 9 15 4 12 8 16 10 12 7 The study hours of the learners in class 12B are summarised in the box-and-whisker plot on ANSWER SHEET 3.1.5 in the ANSWER BOOK: Minimum: 3 hours; Lower quartile: 6 hours; Median: 9 hours; Upper quartile: 13 hours; Maximum: 18 hours Use the information above to answer the questions that follow. 3.1.1 Arrange the study hours of class 12A in ascending order. (2) 3.1.2 Calculate the mean number of hours studied by the learners in class 12A. (3) 3.1.3 Determine the median number of hours studied by class 12A. (2) 3.1.4 Calculate the interquartile range (IQR) of the study hours of class 12A. You may use the following formula: Interquartile range (IQR) = Q3 −Q1 (4) 3.1.5 Draw a box-and-whisker plot of the study hours of class 12A on ANSWER SHEET 3.1.5 in the ANSWER BOOK. (4) 3.1.6 The teacher stated that the study hours of class 12A are more consistent than the study hours of class 12B. Verify, using the interquartile ranges of the two classes, whether her statement is VALID. (3) 3.2 A shoe store in Rustenburg sells school shoes and takkies (sneakers). ANNEXURE B in the ANSWER BOOK shows a graph of the number of pairs of school shoes and takkies sold per month during 2025. Use ANNEXURE B to answer the questions that follow. 3.2.1 Name the type of graph shown on ANNEXURE B. (2) 3.2.2 Determine the range of the number of pairs of takkies sold per month. (2) 3.2.3 Calculate the percentage decrease in the number of pairs of school shoes sold from January 2025 to February 2025. (3) 3.2.4 Give ONE possible reason why the most pairs of school shoes were sold in January. (2) 3.2.5 A month in 2025 is selected at random. Determine, as a percentage, the probability that MORE than 300 pairs of takkies were sold in that month. (3) [30] Copyright reserved Please turn over

Mathematical Literacy/P1 9 Hlayiso/Prediction 2026 NSC Prediction QUESTION 4 4.1 Thabo runs a solar-powered cellphone-charging station at a taxi rank in Soweto. His costs and income are as follows: • Fixed monthly cost (rental of the space and the charging stand): R600 • Variable cost: R4 per phone charged • He charges his customers R12 per phone charge. TABLE 3 below shows Thabo’s total monthly costs and income for different numbers of phones charged. Some values have been omitted. TABLE 3: THABO’S MONTHLY COSTS AND INCOME Number of phones charged (n) 0 25 50 75 100 150 Total cost (in R) 600 700 A 900 1 000 1 200 Income (in R) 0 300 600 900 B 1 800 Use TABLE 3 and the information above to answer the questions that follow. 4.1.1 Determine the missing values A and B. (4) 4.1.2 Write down a formula that Thabo can use to calculate his total monthly cost in the form: Total cost = . . . (2) 4.1.3 The graph of Thabo’s monthly income is drawn on ANSWER SHEET 4.1.3 in the ANSWER BOOK. Use TABLE 3 to draw the graph of his total monthly cost on the same set of axes. Label your graph. (4) 4.1.4 Use the graphs on ANSWER SHEET 4.1.3 to write down the number of phones Thabo must charge per month to break even. (2) 4.1.5 Thabo claims that he will make a profit of more than R1 500 in a month in which he charges 280 phones. Verify, showing ALL calculations, whether his claim is VALID. (4) Copyright reserved Please turn over

Mathematical Literacy/P1 10 Hlayiso/Prediction 2026 NSC Prediction 4.2 The Lethabong Local Municipality surveyed 200 of the 18 400 households in the municipality about their monthly water usage in winter (July 2025) and in summer (January 2026). The municipality uses the block tariffs in TABLE 4 below. TABLE 4: WATER TARIFFS FOR 2025/2026 (EXCLUDING VAT) BLOCK MONTHLY WATER USAGE TARIFF PER kℓ 1 0 – 6 kℓ R0,00 2 more than 6 kℓ – 15 kℓ R24,50 3 more than 15 kℓ – 30 kℓ R36,80 4 more than 30 kℓ R58,20 NOTE: • A fixed basic charge of R95,00 (excluding VAT) is added to the water bill every month. • VAT of 15% is added to the total of the water charges and the basic charge. ANNEXURE C in the ANSWER BOOK shows a graph of the number of surveyed households in each tariff block. Use TABLE 4, ANNEXURE C and the information above to answer the questions that follow. 4.2.1 State whether the 200 households represent a sample or the population of households in the municipality. (2) 4.2.2 Write down the number of surveyed households whose water usage was in Block 3 during winter. (2) 4.2.3 Calculate the percentage increase in the number of surveyed households in Block 4 from winter to summer. (3) 4.2.4 A surveyed household is selected at random. Determine, as a decimal, the probability that this household used 15 kℓ or less of water in summer. (2) 4.2.5 The Molefe household used 34 kℓ of water in September 2025. Mr Molefe stated that their water bill for September, including VAT, was more than R1 200. Verify, showing ALL calculations, whether his statement is VALID. (7) [32] Copyright reserved Please turn over

Mathematical Literacy/P1 11 Hlayiso/Prediction 2026 NSC Prediction QUESTION 5 5.1 The Ndlovu family (two adults and two children) is planning a holiday in Mauritius in December 2026. The currency used in Mauritius is the Mauritian rupee (MUR). TABLE 5 below shows the exchange rates between the South African rand (ZAR) and two other currencies. TABLE 5: EXCHANGE RATES CURRENCY ZAR PER UNIT UNITS PER ZAR Mauritian rupee (MUR) 0,3980 2,5126 US dollar (USD) 17,5200 0,0571 [Examiner’s own data] Use TABLE 5 and the information above to answer the questions that follow. 5.1.1 State whether the South African rand is stronger or weaker than the US dollar. (2) 5.1.2 A full-day catamaran tour costs 2 950 MUR per adult and 1 475 MUR per child. Calculate, in rand, the total cost of the tour for the whole family. (3) 5.1.3 Mrs Ndlovu buys 20 000 MUR at a bank in South Africa. The bank charges a commission of 1,75% on the rand value of the foreign currency bought. Calculate the total amount, in rand, that she will pay for the 20 000 MUR, including the commission. (4) 5.1.4 Mrs Ndlovu budgeted R85 000 for the holiday. The family has to pay the following: • Holiday package (flights and hotel): R68 400 • The 20 000 MUR bought in QUESTION 5.1.3, including the commission • Travel insurance: R345 per person She claims that she will have more than R7 000 of her budget left after paying for these items. Verify, showing ALL calculations, whether her claim is VALID. (5) Copyright reserved Please turn over

Mathematical Literacy/P1 12 Hlayiso/Prediction 2026 NSC Prediction 5.2 TABLE 6 below shows the annual consumer price inflation (CPI) rate in South Africa from 2021 to 2024. TABLE 6: ANNUAL CONSUMER PRICE INFLATION RATE IN SOUTH AFRICA YEAR 2021 2022 2023 2024 INFLATION RATE 4,5% 6,9% 6,0% 4,4% [Adapted from www.statssa.gov.za] The school governing body of the Ndlovu children’s school increases the annual school fees every year by the inflation rate of the PREVIOUS year plus 2 percentage points. For example: increase for 2024 = inflation rate for 2023 + 2 percentage points. The annual school fees for 2023 were R18 600 per learner. Use TABLE 6 and the information above to answer the questions that follow. 5.2.1 Describe the trend in the inflation rate from 2022 to 2024. (2) 5.2.2 Calculate the annual school fees per learner for 2025. (5) 5.2.3 A year is selected at random from TABLE 6. Determine the probability that the inflation rate in that year was more than 5%. (2) 5.2.4 Mr Ndlovu stated that the annual school fees increased by more than 15% from 2023 to 2025. Verify, showing ALL calculations, whether his statement is VALID. (3) [26] TOTAL: 150 Copyright reserved