MATHS LIT P1 GR12 QP SEPT2022 English (Approved)_hlayiso.com_.pdf

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 SEPTEMBER 2022 MATHEMATICAL LITERACY P1 MARKS: 150 TIME: 3 hours This question paper consists of 15 pages, an answer sheet and an addendum with 3 annexures.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FIVE questions. Answer ALL the questions. 2. 2.1 Use the ANNEXURES in the ADDENDUM to answer the following questions: ANNEXURE A for QUESTION 1.3 ANNEXURE B for QUESTION 3.1 ANNEXURE C for QUESTION 5.2 2.2 Answer QUESTION 3.1.5 on the attached ANSWER SHEET. 2.3 Write your NAME and GRADE in the spaces provided on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK. 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

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 To determine the price of petrol per litre in South Africa, the current petrol pricing model uses the four main components shown in the TABLE 1 below. TABLE 1: FOUR COMPONENTS DETERMINING THE PRICE OF PETROL PER LITRE PERCENTAGE COMPONENTS (%) NOVEMBER OF THE PETROL NOVEMBER INCREASE OF PRICE FOR PRICING MODEL PRICE FOR 2011 PETROL 2021 Basic petrol price R6,29 49 R9,37 Other levies R1,91 114 R4,09 Road accident fund R0,80 173 R2,18 Petrol levy R1,78 116 R3,83 NOVEMBER NOVEMBER PRICE FOR PRICE FOR 2011 2021 Rand per litre of R10,77 80,78 R19,47 petrol [Data courtesy of the Automobile Association: IOL. Motoring/2021] Use TABLE 1 to answer the questions that follow. 1.1.1 Show how the price of R19,47 per litre of petrol in November 2021 was determined. (2) 1.1.2 Write down the percentage increase of the least price determining component of the price per litre of petrol. (2) 1.1.3 Show how the basic petrol price component in November 2021 was determined using the basic petrol price of 2011. (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) 1.2 Jane has a cellphone on a prepaid arrangement with a network that provides 1 gigabyte (GB) of data at a cost of R149,00. NOTE: 1 GB = 1 000 MB (megabytes) 1 MB = 1 000 KB (kilobytes) TABLE 2 below shows a list of cellphone applications Jane updated in the month of May 2022. TABLE 2: CELLPHONE APPLICATIONS UPDATED IN MAY 2022 APPLICATIONS UPDATED DATA USED TO UPDATE (in MB) Google Drive 27,45 Dropbox 90 Facebook --- Messages 43 YouTube 125 TOTAL DATA 400,45 Use the information and TABLE 2 above to answer the questions that follow. 1.2.1 Determine the data used for updating Facebook. (2) 1.2.2 Calculate the total cost of the data used in updating the above five (5) cellphone applications. (3) 1.2.3 Calculate the data balance in kilobytes remaining after updating all the cellphone applications in May 2022. (3) 1.3 ANNEXURE A shows an income and expenditure statement for Buzingo Private School. The statement shows a comparison of budgeted and actual values for the year 2020. Use the information in ANNEXURE A to answer the questions that follow. 1.3.1 Calculate the total actual income for the school in 2020. (2) 1.3.2 The value of the actual net income in 2020 is indicated as negative. What does negative value mean? (2) 1.3.3 Identify ONE item within the ‘Income’ which could have been the main cause for the school to have a negative value. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 5 1.4 TABLE 3 below shows the provincial results in Mathematical Literacy in the National Senior Certificate (NSC) Examinations in 2021. A candidate must achieve 30% or above to pass. TABLE 3: SHOWING PROVINCIAL RESULTS IN MATHEMATICAL LITERACY IN 2021 % ACHIEVED AT 30% PROVINCE NAME TOTAL WROTE AND ABOVE Eastern Cape 46 960 72,3 Free State 21 450 85,8 Gauteng 87 381 82,6 KwaZulu-Natal 105 651 68,6 Limpopo 59 560 67,2 Mpumalanga 37 857 71,5 North West 30 125 77,6 Northern Cape 9 813 71,3 Western Cape 42 270 80,4 National (RSA) -------- 74,5 [Source: https://education.gov.za/release of NSC results 2021] NOTE: • Pass is 30% and more • Fail is any mark below 30% Use TABLE 3 to answer the questions that follow. 1.4.1 Determine the total number of candidates who wrote Mathematical Literacy in 2021, in the Republic of South Africa. (2) 1.4.2 Determine the number of provinces that performed poorer than the national score in 2021 in terms of an achievement of 30% and above. (2) 1.4.3 Calculate the number of candidates who passed Mathematical Literacy in the Eastern Cape in 2021. (3) 1.4.4 Determine the probability of randomly selecting a candidate that failed Mathematical Literacy in 2021, from those that wrote the subject in the Northern Cape. (2) [30] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) QUESTION 2 2.1 The cost price of a CASIO and a SHARP calculator was advertised by a local store on its website on 13/2/2022 as shown below. # PRICES ON CALCULATORS REDUCED. MAKE A SAVING! Brand: Casio Calculator Brand: Sharp Scientific Calculator El-531 Sale offers valid from 14/2/2022–28/2/2022 [Adapted from game.co.za/feb2022] Use the above advertisement to answer the questions that follow. 2.1.1 Determine for the Sharp calculator the ratio of the saving amount to the original price in the form of 1 : … (2) 2.1.2 Express as a percentage (up to two decimal places) the discount amount on the price of the Casio calculator. (2) 2.1.3 Grade 12 learners from Tuso High School bought 8 Casio and 12 Sharp calculators on 28th February 2022. Calculate the total saving on the purchase. (3) 2.2 The current Grade 10 learners at Tuso High School plan to have a matric farewell in 2024. They budgeted that they would use R5 500. They fundraised R4 500 which they invested in a saving scheme that gives an interest of 9,5% per annum compounded annually. Verify, showing ALL calculations whether the class’s invested amount after a period of exactly 2 years will meet their budget. (5) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 7 2.3 Ms Nande is a 53-year-old and earned a gross income of R39 486 per month during the 2021/2022 tax year. A non-taxable monthly deduction of 7,5% was made from her salary and paid into her pension fund. TABLE 4 below shows the tax table for the 2022 tax year ended 28 February 2022. TABLE 4: TAX RATES FOR 2021/2022 TAX YEAR (1 Mar. 2021‒28 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 5 below shows the tax rebates for the 2021/2022 tax year. TABLE 5: TAX REBATES FOR THE 2021/2022 TAX YEAR TAX REBATE Primary R15 714 Secondary (65 and older) R8 613 Tertiary (75 and older) R2 871 [Adapted from www.sars.gov.za] Use TABLE 4 and TABLE 5 above to answer the questions that follow. 2.3.1 Explain the term ‘gross income’ in this context. (2) 2.3.2 Show by calculation that a person who was 75 years and older, and earned R151 100 during the 2022 tax year, paid no tax. (5) 2.3.3 Calculate Ms Nande’s annual tax payable. (8) [27] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) QUESTION 3 3.1 In South Africa many people are suffering from chronic health conditions. Population estimation in thousands (‘000) in 2020 mid-year for the people with chronic health conditions is given in a table on ANNEXURE B. NOTE: Chronic health condition(s) require one to have ongoing medical attention or take medicine on a daily or regular period as per a medical doctor’s prescription. Use the information above and ANNEXURE B to answer the questions that follow. 3.1.1 Calculate the total number of males with chronic health conditions in KwaZulu-Natal. (2) 3.1.2 Use the number of diabetic people to determine the provincial range among provinces in South Africa. (3) 3.1.3 Calculate the provincial mean number of people with hypertension (HBP) in South Africa. (3) 3.1.4 Determine the median of the total chronic health condition of various provinces in the RSA. (3) 3.1.5 Use the ANSWER SHEET to draw a line graph representing the total number of people suffering from diabetes from all provinces. (4) 3.1.6 Determine probability (as a percentage) of randomly selecting a diabetic female among chronic heath suffering people in KwaZulu-Natal. (4) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 9 3.2 The population of the Republic of South Africa during the mid-year of 2020 was estimated at 59,62 million. The graph below represents the population per province. 2020 MID-YEAR SOUTH AFRICAN POPULATION PER PROVINCE 18 16 Population (millions) 14 11,53 12 10 8 6,73 7,01 5,85 6 4,68 4,11 4 2,93 2 1,29 ? 0 PROVINCES [Source: Stats SA, Mid-Year 2020] Use the information provided and the graph above to answer the questions that follow. 3.2.1 State the type of graph used to display the information. (2) 3.2.2 Determine the population of Gauteng and write final answer in words. (4) 3.2.3 Calculate the interquartile range (IQR) for the provincial populations for 2020 mid-year: You may use the formula: IQR = Q3 – Q1 (5) [30] Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) QUESTION 4 4.1 Mr Buti and his daughter Jane use the same cellphone network provider but each use it under different conditions. • Mr Buti is on a contract where: (i) he pays a fixed cost of R200 per month for 100 minutes free and (ii) there after a cost of R1,20 per minute, per second billing after the free 100 minutes. (iii) Total costs (R) = 200 + (n - 100) × 1,20; where n represents minutes used. • Jane is on a pre-paid and pays R1,75 per minute, per second billing. Mr Buti’s call minutes and costs are shown in TABLE 6 below. TABLE 6: SHOWING COST AND DURATION OF CALLS MR BUTI MADE PER MONTH ON THE CELLPHONE CONTRACT Total number of call minutes 0 50 100 200 300 D for the month Total Cost in Rands (R) 200 200 C 320 440 500 Use the information above and TABLE 6 to answer the questions that follow. 4.1.1 Calculate the value(s) of: (a) C (2) (b) D (3) 4.1.2 Explain the term ‘prepaid’ in the context above. (2) 4.1.3 Calculate the cost Jane paid in a month she called for 200 minutes. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 11 4.2 Buti has an Eliti account with one of the banks in South Africa. TABLE 7 shows deposit fees applicable on his account in 2022. TABLE 7: ELITI ACCOUNT COSTS AT ABA BANK FOR DEPOSITS TRANSACTION COSTS Notes and coin deposit R80 + R2,25 per R100 (for notes) + R5 per R100 (for coins) or part thereof the amount deposited. [Adapted by examiner from information supplied by various banks ‒ 2022] Use the information from TABLE 7 to answer the questions that follow. 4.2.1 Determine the minimum amount one will pay when making a deposit of notes and coins. (2) 4.2.2 Buti says he will be charged R180 when making a deposit of notes to the value of R1 500 and R500 in coins. Show by means of calculations whether his statement is VALID. (5) 4.2.3 Mr Buti deposited R1 500 an amount from sale of goods that were sold at a Value Added Tax (VAT) inclusive price. Calculate the VAT amount on goods sold. (You may use VAT = 15%) (3) 4.2.4 Name at least ONE method Buti can use to send money to a person who does not have a bank account. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) 4.3 A tourist from Japan arrived in East London on 26th March 2022, to tour some parts of the Eastern Cape for a period of 5 days. He planned to use an average amount of R4 042,19 per day. The tourist’s first tour was a return trip from East London to Humansdorp. The conditions were as follows: • The tourist paid for his petrol use on a rented car. • The rented car is given with full tank and must be returned with a full tank. • Car rental fee rate is 182 cents per kilometre. Furthermore, the following details are known. • The distance from East London to Humansdorp is 368,6 km. • The cost of petrol was R19,89 per litre at the time. The tourist opted for a Toyota Corolla 1.6 that uses 7 litres/100 km on average. Use the information above to answer the questions that follow. 4.3.1 Calculate the total Japanese Yen he exchanged for the 5 days use. If the exchange rates between RSA Rand and Japanese Yen on the day is given as in table below: SOUTH AFRICAN RAND (ZAR) JAPANESE YEN (¥) 5 37,51715 [Adapted from Currency Data API/26/03/2022] (4) 4.3.2 Calculate the rental fee for the return trip between East London and Humansdorp, excluding petrol used. (3) 4.3.3 Calculate the cost of petrol for the return trip above. (4) [32] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 13 QUESTION 5 5.1 TABLE 9 below shows the cost of movie tickets at Gompo Mall in 2021 and 2022. TABLE 9: COST OF MOVIE TICKETS AT GOMPO MALL IN EAST LONDON STANDARD PRICING (2D) 2021 2022 CATEGORY (AGE OF MOVIE ATTENDEES) Ticket cost Ticket cost Children under 18 R40 R60 Adults (above 18 less than 65) R45 R65 Pensioners (65 and above) R40 R60 • In May 2021, ticket sold were 60% of May 2022 sales. • 930 movie tickets were sold in May 2022. • On the average number of tickets sold in May 2021 and May 2022 were in the ratio: Adults : Children : Pensioners = 2 : 3 : 1 [Adapted from hemingways.co.za] Use TABLE 9 and the information above to answer the questions that follow. 5.1.1 Determine the number of tickets bought by children under 18 in May 2022. (2) 5.1.2 Determine the amount received from tickets bought by adults in May 2021. (3) 5.2 ANNEXURE C shows pie charts about tourists from other countries to South Africa in the years 2019 and 2020. Use ANNEXURE C to answer the questions that follow. 5.2.1 Name another type of graph you can use to display the information in ANNEXURE C. (2) 5.2.2 Identify the country that had the least number of visitors in 2020. (2) 5.2.3 Inako said that 435 582 tourists came from the UK in 2019. Verify, showing ALL calculations, whether his statement is CORRECT. (6) 5.2.4 Determine the probability (as a decimal) of randomly selecting a tourist from a country that showed neither decrease or an increase in the number of visitors. (3) 5.2.5 Give ONE possible reason why there was a decrease in the number of tourists from other countries to South Africa in 2020 compared to 2019. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 14 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2022) 5.3 Mr Jabu lives in Komani, in the Enoch Mgijima Municipality and uses prepaid electricity that is sold to customers at a VAT inclusive rate. TABLE 10 below shows the cost of prepaid units of electricity. TABLE 10: COST OF PREPAID UNITS OF ELECTRICITY RATE c/kWh BLOCK UNITS (kWh) (INCLUDING VAT) 1 0 – 50 144,72 2 51 – 350 186,06 3 351 – 600 261,87 4 > 600 308,37 [Source: https:/www.enochmgijima.org.za/electricity tariffs2021/2022] * Prepaid electricity: Paying for electricity before using it. * VAT (Value Added Tax) = 15% * The municipality buys electricity from Eskom at an average VAT inclusive price of R1,33 per kWh. Use TABLE 10 above to answer the questions that follow. 5.3.1 State any TWO reasons why it is an advantage for the municipality to sell prepaid electricity. (2) 5.3.2 Determine the number of units Mr Jabu received when he bought prepaid electricity for R68,02. (3) 5.3.3 Mr Jabu stated that the percentage profit the municipality makes when a customer buys 290 kWh of electricity is more than 34%. Verify, by showing ALL calculations, if his claim is VALID. You may use the formula: selling price for the units ‒ cost price for the units % Profit = × 100% cost price for the units (6) [31] TOTAL: 150 Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2022) MATHEMATICAL LITERACY P1 15 ANSWER SHEET NAME OF LEARNER: …………………………………… GRADE: …… QUESTION 3.1.5 Copyright reserved Please turn over