Mathematical Literacy Grade 11 P1 2022 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2022 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours This question paper consists of 12 pages, including two answer sheets.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. 2.1 Use ANSWER SHEET 1 for QUESTION 4.1.3. 2.2 Use ANSWER SHEET 2 for QUESTIONS 4.3.1. 2.3 Write your NAME and GRADE in the spaces provided on ANSWER SHEET 1 for QUESTION 4.1.3 AND on ANSWER SHEET 2 for QUESTION 4.3.1. Hand in the ANSWER SHEETS with your ANSWER BOOK. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Diagrams are NOT necessarily drawn to scale, unless stated otherwise. 5. Round off ALL final answers according to the context used, unless stated otherwise. 6. Indicate units of measurement, where applicable. 7. Start EACH question on a NEW page. 8. Show ALL calculations clearly. 9. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2022) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 Study Ms Jane Bukirwa’s payslip for the month of October 2021 shown below and answer the questions that follow. GM’s Car Washing Co. Ltd. 8 Down Street, Komani, 5319 Tel: _________ Cellphone no.: __________ [www.yorkshire.co.uk] Payslip for the month of October 2021 Employee’s name: Jane Bukirwa Paid days: 30 Gender: Female Leave without pay: 1 Occupation: Clerk/Cashier Pay slip no.: 10/2021 Earnings Amount Deductions Amount Basic salary R5 000 Salary advance R650 Overtime hours 45 PAYE R774 Overtime rate R25 UIF: 1% of Total Earnings R61,25 Overtime payment R1 125 Other deductions - Total Payment R6 125 Total deductions ---- Net Pay R4 639,75 1.1.1 Write down Ms Jane Bukirwa’s occupation. (2) 1.1.2 Calculate her total deductions. (2) 1.1.3 Show by means of calculations how the overtime payment amount of R1 125 was determined. (2) 1.1.4 Define the term ‘net pay’ according to the above context. (2) 1.1.5 Calculate the amount to be added to Jane Bukirwa’s basic salary, if the basic salary is increased by 7,5% for November 2021. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) 1.2 Grade 11 Mathematical Literacy learners wrote a test marked out 50 marks. Their results are displayed on the graph below showing the distribution of marks. Use the information displayed on the above graph to answer the questions that follow. 1.2.1 Name the type of graph used to display the data of results. (2) 1.2.2 Determine the number of learners that wrote the test. (2) 1.2.3 How many learners scored within the modal class? (2) 1.2.4 Calculate the marks out of 50 for a learner that obtained 68% in the test. (2) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2022) MATHEMATICAL LITERACY P1 5 QUESTION 2 2.1 Aunt Louis, an educator, compares the pension fund estimations for the year 2021 and 2022. She wants to resign at the end of 2022. Study the information below and answer the questions that follows. Normal retirement estimated 2022 2021 Monthly pension (annuity) payable R26 383 R25 591 Lump sum (gratuity) payable R919 363 R884 198 Discharge monthly pension payable R23 248 R22 083 Discharge lump sum (gratuity) payable R799 313 R747 619 Monthly pension (annuity) payable to spouse(s) R13 692 R13 295 Lump sum (gratuity) payable to beneficiaries R2 592 409 R2 470 783 Resignation benefit R2 836 836 ----------- [Adapted from www.gepf.co.za] 2.1.1 Write down the value of the lump sum payable to beneficiaries in 2021. (2) 2.1.2 The resignation benefit for the year 2021 is R166 417 less than 2022 benefit. Calculate the resignation amount for the year 2021. (3) 2.1.3 Calculate the annual amount for the year 2022 that Aunt Louis will receive for the monthly pension. Round off your answer to the nearest R100. (3) 2.1.4 Aunt Louis claimed that the lump sum (gratuity) payable for 2022 is R35 615 more than the lump sum (gratuity) payable for 2021. Verify the statement. (3) 2.1.5 Give ONE advantage of an employee contributing towards the Pension Fund. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) 2.2 John Matu sells Samsung cellphones. The price list given below shows the cost price and profit for different types of cellphones in the year 2021. Study the price list and answer the questions that follow. All prices include VAT 15%. Samsung Galaxy A31 Samsung Galaxy A72 Cost Price: R3 299,25 Cost Price: R7 499,25 Profit: R1 099,75 Profit: R2 499,75 Samsung Galaxy S10 Samsung Galaxy S21 Ultra Cost Price: R11 099,25 Cost Price: R21 749,25 Profit: R3 699,75 Profit: R7 249,75 [Source: www.samsung.com] 2.2.1 Determine the selling price of the Samsung Galaxy A72. (2) 2.2.2 Determine the ratio (in simplest form) of total profit to the total income from sale of the four cellphones. (4) 2.2.3 John Matu ran out of the cheaper phones. He placed an order for the cellphones A31 and A72 in the ratio: A31 : A72 = 2 : 1. A total of 15 cellphones were ordered. Verify with the necessary calculations that the total cost price for the order was R70 488,75. (5) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2022) MATHEMATICAL LITERACY P1 7 2.2.4 The cost price of Samsung A31 in the year 2020 was R3 399,75. It is costing less this year due to new cellphones on the market. Calculate the percentage decrease on the cost of the A31. Give your answer to the nearest percentage. You may use the following formula: new price – old price Percentage decrease = × 100% old price (4) 2.3 Mr John Matu received the statement indicating water tariffs for the month of March 2021. Study the water tariffs table below from DJB Municipality. DJB Municipality Mr J. Matu: March 2021 statement Code Water tariffs (per kℓ) (Excluding VAT) WA0101 6,110 kℓ @ R16,992900 WA0102 4,073 kℓ @ R17,326130 WA0103 2,817 kℓ @ R24,06370 Amount paid R --- Use the information and the table above to answer the following question. Mr J. Matu asked his two sons to calculate the amount (including VAT = 15%) he has to pay. • Son A got R263,48 • Son B got R258,48 John claimed Son B was correct. Verify showing ALL your calculations whether the statement is correct. (5) [33] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) QUESTION 3 Motor trade sales in the months (January–December) for the years 2018 and 2019 at current prices then, are shown in the TABLE 1 below. TABLE 1: MOTOR TRADE SALES AT CURRENT PRICES THEN (RAND IN MILLION) Month Year 2018 Year 2019 January 53 044 53 844 February 53 321 52 361 March 58 353 55 646 April 49 633 54 981 May 56 064 56 846 June 55 263 54 249 July 56 409 59 270 August 57 598 58 435 September 54 436 54 467 October 60 406 59 960 November 60 417 57 915 December 51 480 52 718 Total 666 424 670 692 [Source: www.statssa.gov.za/Jan2020] Use the information above to answer the following questions. 3.1 Write down the month and the year when trade sales were the lowest of the two years. (2) 3.2 Determine the range for the amount of trade sales for the months in the year 2019. (3) 3.3 Write down the total amount of the trade sales for the year 2018 in words. (2) 3.4 Calculate the mean trade sales for the year 2018. (3) 3.5 Determine the median value of the trade sales for the months (Jan–Dec) in the year 2019. (3) 3.6 Express the amount of trade sales of October 2018 as a percentage of the total trade sales for the year 2018. (3) 3.7 Determine the probability (as a fraction) of randomly selecting a month that shows a decline in the amount of trade sales from year 2018 to 2019. (3) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2022) MATHEMATICAL LITERACY P1 9 QUESTION 4 4.1 Ms Jena started a shoe repair business to repair old shoes, restore their quality and make them user friendly. Below are the weekly costs and charges involved: • Rent for the room – R250 • Salaries – R400 • Materials required per pair of shoes on average costed at R25 • On average each customer is charged R75 per pair of shoes • Income = R75 × n, (where n [Source: https://howtostatanllc.com/Shoe repair] represents the number of pairs of shoes) • Expenses = R650 + R25 × n, (where n represents the number of pairs of shoes) Use the above information to answer the following questions. 4.1.1 Write down the weekly total fixed costs that Ms Jena pays per week. (2) 4.1.2 The TABLE 2 below shows the income and expenses from the business. TABLE 2: INCOME AND EXPENSES FOR THE SHOE REPAIR BUSINESS Number of pair of shoes (n) 0 5 10 15 18 20 Expenses (R) 650 775 900 1 025 1 100 A Income (R) 0 375 750 1 125 1 350 1 500 (a) Calculate missing value A. (2) (b) Ms Jena has learnt that starting a business is not easy. It takes time to get your business known. Her records show that: • In week 1 – She repaired 5 pairs of shoes • In week 2 – She repaired 10 pairs of shoes • In week 3 – She repaired 20 pairs of shoes Use the information above and TABLE 2 to show by means of calculations that Ms Jena made a loss of R200 in the 3 weeks. (5) 4.1.3 A line graph showing the income from the repair of shoes has been drawn on ANSWER SHEET 1. Use the same grid on ANSWER SHEET 1 to draw another line graph showing the expenses of the repair of shoes. (3) 4.1.4 Use the graph to determine the number of pair of shoes at the break-even point. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) 4.2 Ms Jane’s brother who lives in Japan sent her money to assist her in her business. He sent Japanese yen (¥) 25 000. Determine the amount in Rands Ms Jane received. You may use the exchange rate at the time: 1Yen (¥) = R0,135 2364 (3) 4.3 A Grade 11B Mathematical Literacy class at Nayani Secondary School participated in a research project where their gender and weight (kg) were recorded. The raw data is indicated in TABLE 3 below: TABLE 3: GENDER AND WEIGHTS FOR GRADE 11B Gender Weights in kg Female 58 67 73 68 80 65 90 78 108 59 67 79 75 Male 61 57 70 72 66 81 93 77 79 83 75 82 Use the above information to answer the following questions. 4.3.1 Complete the frequency table that the teacher left incomplete. Use ANSWER SHEET 2. Weight Female Male Category Tally Frequency Tally Frequency 50–59 // 2 / 1 60–69 //// 4 70–79 //// 4 80–89 / 1 90–99 / 1 100–109 / 1 (5) Use the above information in TABLE 3 and your completed ANSWER SHEET 2 to answer the questions that follow. 4.3.2 In which category do most of the females fall? (2) 4.3.3 Calculate the number of males who weighs 70 kilograms (kg) or more but less than 90 kg. (2) 4.3.4 Determine the probability (as a percentage) of randomly selecting a learner weighing 70 kg or more from the class. (3) [29] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2022) MATHEMATICAL LITERACY P1 11 ANSWER SHEET 1 QUESTION 4.1.3 NAME OF SCHOOL: ___________________________ GR 11: ________ NAME OF LEARNER: ___________________________ GRAPH FOR INCOME AND EXPENSES SHOE REPAIR BUSINESS INCOME Income and Expenses (R) Number of pairs of shoes (n) Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2022) ANSWER SHEET 2 QUESTION 4.3.1 NAME OF SCHOOL: ___________________________________ GR 11: _________ NAME OF LEARNER: _________________________________ Complete the frequency table that the teacher left incomplete: Use the table in the ANSWER SHEET 2. Female Male Weight Category Tally Frequency Tally Frequency 50–59 // 2 // 2 60–69 //// 4 70–79 //// 4 80–89 / 1 90–99 / 1 100–109 / 1 Copyright reserved Please turn over