Mathematical Literacy Grade 12 P1 Gauteng Mock 2022 QP (Eng)

Downloaded from hlayiso.com PREPARATORY EXAMINATION 2022 10601 MATHEMATICAL LITERACY PAPER 1 TIME: 3 hours MARKS: 150 9 pages + 1 answer sheet and an addendum of 7 pages This question paper consists of 9 pages and 1 answer sheet. An addendum of 7 pages is included in the question paper. P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 2 (Paper 1) 10601/22 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Write your name in the spaces provided on the ANSWER SHEET and hand this in with your ANSWER BOOK. 3. Use the ADDENDUM as follows:  Use ANNEXURE A to answer Question 1.2  Use ANNEXURE B to answer Question 3.1  Use ANNEXURE C to answer Question 3.2  Use ANNEXURE D to answer Question 3.3  Use ANNEXURE E to answer Question 4.1  Use ANNEXURE F to answer Question 4.3 4. Number your answers correctly according to the numbering system used in this question paper. 5. An approved calculator (non-programmable and non-graphical) may be used, 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. Start EACH question on a NEW page. 10. Write neatly and legibly. P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 3 (Paper 1) 10601/22 QUESTION 1 1.1 Thato has a bank account with Capitec Bank. Study the bank statement in the table below, and answer the questions that follow. Table 1: Thato’s bank statement Debit Credit Balance Date Description (R) (R) (R) 19/04 Balance brought forward 26 935,48 20/04 Cash Deposit 2 450 29 385,48 Service fee 12,25 29 373,23 21/04 Debit order: King Price Insurance 1 250 A Service fee 5,00 28 118,23 23/04 Stop order: Discovery Medical Aid 5 927 22 191,23 Service fee 5,00 22 186,23 25/04 Deposit: Salary B 54 708,48 Service fee 32,52 54 675,96 29/04 Debit card: Checkers 7 332,45 47 343,51 Service fee 3,50 47 340,01 01/05 Bond payment 14 500 32 840,01 Service fee 21,75 32 818,26 01/05 Wesbank: Car payment 6 500 26 318,26 Service fee 7,00 26 311,26 01/05 Truworths account 2 250 24 061,26 Service fee 2,75 24 058,51 1.1.1 Calculate the value of A in the bank statement. (2) 1.1.2 Calculate the value of B in the bank statement. (2) 1.1.3 Write down Thato’s bank balance on 19 April in words. (2) 1.1.4 Identify the service fee that was charged on the bond payment. (2) 1.1.5 Calculate the number of days from 15 April until 14 May. (2) 1.1.6 Define the term debit order. (2) 1.1.7 Show how the balance of R29 385,48 (on 20 April) was calculated. (2) 1.1.8 With which bank does Thato conduct his banking? (2) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 4 (Paper 1) 10601/22 1.2 Load shedding has affected many households and businesses in our country. Some of the businesses in the country were asked how they were impacted by electricity shortages during this time. Refer to ANNEXURE A, which has responses to questions asked to business owners, and answer the questions that follow. 1.2.1 State the difference between discrete data and continuous data. (2) 1.2.2 Determine the mode of the data provided in QUESTION A (Annexure A). (2) 1.2.3 Determine the difference between the percentages of businesses that remained neutral for QUESTION A and for QUESTION B (Annexure A). (2) 1.2.4 Identify the highest percentage from the data in QUESTION A (Annexure A). (2) 1.2.5 Name the city where this survey was conducted. (2) 1.2.6 What percentage strongly agreed that their businesses are heavily dependent on a stable and secure electricity supply? (2) 1.2.7 Arrange the data in QUESTION A (Annexure A) in descending order. (2) [30] P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 5 (Paper 1) 10601/22 QUESTION 2 2.1 Mr. Nkosi intends to buy his first house for R1 450 000. He approached two financial institutions to compare loan amounts between the two. Refer to Table 2 below and answer the questions that follow. Table 2: Bond options for Mr Nkosi (first time home loan) ITEM INVESTEC FNB Loan amount B R1 520 172 *Initiation fee R6 037,50 0 *Bond registration fee R29 280,00 R27 211,00 *Bond transfer fee R20 432,50 R42 961,00 Total set up costs A R70 172,00 Monthly repayments R11 489,79 R11 577,17 Monthly service fees R69,00 R69,00 Not applicable if loan is paid from personal account Term agreement 20 years 240 months 2.1.1 The bank recommends that your bond monthly repayment not exceed 30% of your gross monthly salary. What will Mr. Nkosi’s gross salary have to be to get a loan from Investec? Round-off your answer to the nearest ten thousand. (4) 2.1.2 Determine the total set-up costs, A, for the Investec option. (2) 2.1.3 When buying a property, you may add all the set-up costs to the purchase price of the house to get the loan amount. Determine B, the loan amount for Investec, if the house is listed for R1 450 000. (2) 2.1.4 The service fee of R69,00 is not charged by Investec to Mr. Nkosi if his loan is paid from his personal account. (a) How much money will he save at Investec over the total period of the loan? (3) (b) If Mr. Nkosi does not pay his loan from his personal account, how would this impact him financially? (2) 2.1.5 Mr. Nkosi states that if he buys his house through Investec and pays from his personal account, he will save money on interest and monthly service fees by the time the loan is paid in full. Determine, showing ALL calculations, how much Mr. Nkosi will save if he chooses the Investec option. (9) P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 6 (Paper 1) 10601/22 2.2 The value of a currency fluctuates on a daily basis based on supply and demand. Refer to the table below and answer the questions that follow. Table 3: Currency and rand value Currency Rand Value US Dollar R13,82 Canadian Dollar R10,35 British Pound R18,06 Euro R15,73 Australian Dollar R9,82 2.2.1 (a) Which currency, from the table above, is the weakest? (2) (b) Explain what this would mean to a South African travelling overseas. (2) 2.2.2 Mrs Nkosi receives £1 200 from her aunt in Britain. Use the table above to calculate the rand value of £1 200. (2) 2.2.3 After Mrs Nkosi exchanged the money, she was charged R200,80. Exchanging money in South Africa consists of an administration fee of R125 and a commission fee of 2,28% of the amount exchanged. Verify, showing all calculations, whether she was charged the correct amount. (4) 2.2.4 Exchange rates fluctuate all the time. List ONE reason why this happens. (2) 2.3 Electricity can be purchased from Eskom in two ways, prepaid and postpaid. Refer to the comparative table below to answer the questions that follow. Table 4: Fixed monthly cost against cost per unit System name Fixed monthly cost Cost per unit (R/kWh) Prepaid R200,00 R0,7085 Post-Paid nil 0 – 50 R0,69 50,1 – 350 R0,81 350,1 – 600 R1,27 Prices exclude VAT of 15% 2.3.1 Write down the fixed monthly cost for the prepaid system. (2) 2.3.2 The Smith’s household, consisting of 3 people, used 349,9 kWh of electricity on the post-paid system. How much would they be expected to pay (excluding VAT) for their electricity consumption? (4) 2.3.3 Mrs Smith worked out that when her daughter goes to university her bill will be two-thirds of the amount calculated in QUESTION 2.3.2. Verify, showing all calculations, if her assumption is correct. (6) [46] P.T.O.

Downloaded from hlayiso.com PLEASE DETACH THIS ADDENDUM OF 7 PAGES. PREPARATORY EXAMINATION 2022 10601 MATHEMATICAL LITERACY PAPER 1 ADDENDUM 7 pages P.T.O.

MATHEMATICAL LITERACY 2 (Paper 1) ADDENDUM 10601/22 ANNEXURE A QUESTION 1.2 Question A: Question 2: My business Questionheavily B: dependent My business suffered severe financial on Mystable business and issecure electricity heavily dependentsupply on a impact from the recent energy crisis in stable and secure electricity supply Cape Town 50 70 44,9 62,8 45 60 40 50 35 30 40 25 Percentage 21,4 30 Percentage 26,5 Percentage 20 17,3 15 13,8 20 10 10 6,1 3,6 6,1 5 2,6 3,6 1 Downloaded from hlayiso.com 0 0 Strongly Disagree Neutral Agree Strongly Strongly Disagree Neutral Agree Strongly agree Strongly Disagree Neutral Agree Strongly agree disagree agree disagree disagree P.T.O.

MATHEMATICAL LITERACY 3 (Paper 1) ADDENDUM 10601/22 ANNEXURE B QUESTION 3.1 Percentage of people using social media on a daily basis Downloaded from hlayiso.com YouTube Twitter Instagram Snapchat TikTok Facebook P.T.O.

MATHEMATICAL LITERACY 4 (Paper 1) ADDENDUM 10601/22 ANNEXURE C QUESTION 3.2 Social media usage by age group yrs 6565+ +yrs 37 yrs 5050- –6565yrs 64 Age bracket yrs 3030- –4949yrs 78 yrs 1818- –2929yrs 88 0 10 20 30 40 50 60 70 80 90 100 Downloaded from hlayiso.com Percentage of people using social media P.T.O.

MATHEMATICAL LITERACY 5 (Paper 1) ADDENDUM 10601/22 ANNEXURE D QUESTION 3.3 Electricity usage per household 39 16 12 11 Percentage of electricity usage 7 6 5 3 1 Lights Geyser Other Laundry Downloaded from hlayiso.com Pool pump Cold Storage Space heating Stove and oven Other cooking appliances Elements/Objects using electricity P.T.O.

MATHEMATICAL LITERACY 6 (Paper 1) ADDENDUM 10601/22 ANNEXURE E Question 4.1 Income and Expenses from different parts of the world 70 000 70000 60 000 60000 50 000 50000 40000 40 000 30000 30 000 20 000 20000 10 000 10000 00 San Diego West San Diego West Los Angeles West Los Angeles West Boston East BostonEast Sea West Sea West Chicago East Chicago East Philidelpia PhiladelphiaEast East Downloaded from hlayiso.com Salaries Income 46733 46 63343 63 59234 59 50343 50 49213 49 45023 45 023 Expenses Expenses 48023 48 63130 63 62943 62 51023 51 48021 48 48234 48 234 P.T.O.

MATHEMATICAL LITERACY 7 (Paper 1) ADDENDUM 10601/22 ANNEXURE F QUESTION 4.3 2022 TAX YEAR (1 March 2021 – 28 February 2022) Tax income (R) Rates of tax (R) 1 – 216 200 18 % of taxable income above 216 200 216 201 – 337 800 38 916 + 26% of taxable income above 216 200 337 801 – 467 500 70 532 + 31% of taxable income above 337 800 467 501 – 613 600 110 739 + 35% of taxable income above 467 500 613 601 – 782 200 163 335 + 39% of taxable income above 613 600 782 201 – 1 656 600 229 089 + 41% of taxable income above 782 200 1 656 601 and above 587 593 + 45% of taxable income above 1 656 600 Tax Rebates – see changes from previous year Tax Rebate Tax Year 2022 2021 2020 2019 2018 2017 2016 2015 Primary (age below 65) R15 714 R14 958 R14 220 R14 067 R13 635 R13 500 R13 257 R12 726 Secondary (65 to 74) R8 613 R8 199 R7 794 R7 713 R7 479 R7 407 R7 407 R7 110 Tertiary (75 and older) R2 871 R2 736 R2 601 R2 574 R2 493 R2 466 R2 466 R2 367 Tax Thresholds – see changes from previous year Downloaded from hlayiso.com Age Tax Year 2022 2021 2020 2019 2018 2017 2016 2015 Under 65 R87 300 R83 100 R79 000 R78 150 R75 750 R75 000 R73 650 R70 700 65 to 74 R135 150 R128 650 R122 300 R121 000 R117 300 R116 150 R114 800 R110 200 75 and older R151 100 R143 850 R136 750 R135 300 R131 150 R129 850 R128 500 R123 350 END

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Downloaded from hlayiso.com MATHEMATICAL LITERACY 7 (Paper 1) 10601/22 QUESTION 3 3.1 Over the past few years, people have relied more on social media platforms to facilitate the creation and sharing of information, ideas and other forms of expression through virtual communities and networks. Study ANNEXURE B and answer the questions that follow. 3.1.1 Which social media platform is used the most on a daily basis? (2) 3.1.2 Calculate the range of the social media platforms. (2) 3.1.3 Name ONE other type of graph that could represent the information about social media platforms. (2) 3.1.4 Determine the median of the data provided for social media platforms. (3) 3.1.5 Do you think learners should be sheltered (protected) from technology? Give a reason for your answer. (2) 3.2 Social media is being used by all ages. Refer to ANNEXURE C and answer the questions that follow. 3.2.1 Which age bracket uses social media the least? (2) 3.2.2 Why do you think the younger age bracket uses social media the most? (2) 3.2.3 Determine the mean percentage of age groups using social media. (2) 3.3 In order to use social media, electricity is essential. Currently, there are different types of energy being used: renewable energy, coal, solar energy, wind energy, natural gas energy, oil energy etc. Different activities require different amounts of energy usage. Refer to ANNEXURE D, regarding household usage of energy, and answer the questions that follow. 3.3.1 Which household activity requires the least amount of energy? (2) 3.3.2 Determine the inter-quartile range of the percentage of electricity usage per household. (5) 3.3.3 Suggest TWO ways in which electricity usage can be reduced. (4) 3.3.4 Write down, as a decimal, the probability of the geyser and space heating using the most electricity. (3) 3.3.5 Complete the graph on the ANSWER SHEET provided, regarding household usage of electricity. Detach your ANSWER SHEET from the question paper and insert it in your ANSWER BOOK. (4) [35] P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 8 (Paper 1) 10601/22 QUESTION 4 4.1 The cost of living has increased significantly in all countries. Income received from employers does not cover expenses. Refer to ANNEXURE E and answer the questions that follow. 4.1.1 Determine the difference in income between the people living in Los Angeles West and the people living in Boston East. (2) 4.1.2 Which city had the lowest expenses? (2) 4.1.3 Determine the implications of expenses exceeding income. (2) 4.1.4 Would an increase in salary have an impact on tax payments? Explain your answer. (3) 4.1.5 Determine the percentage difference between the income and expenses of people living in Chicago East. (4) 4.2 The Grade 12s of High School Rouge decided to host a movie night as a fundraiser for their matric farewell. They interviewed some learners and educators at school about the different genres of movies they would prefer. Refer to the pie chart below and answer the questions that follow. Different genres of movies preferred Science Fiction 8% Foreign 8% Comedy 27% Horror 11% Drama Action 14% 18% Romance 14% P.T.O.

Downloaded from hlayiso.com MATHEMATICAL LITERACY 9 (Paper 1) 10601/22 4.2.1 If 180 learners and 20 educators were interviewed, how many people preferred science fiction movies? (3) 4.2.2 Determine the mode for the data provided on movie genres. (2) 4.2.3 Determine the probability of randomly selecting a person who prefers the horror genre. (2) 4.2.4 What is the probability of randomly selecting a person who prefers the comedy genre? (2) 4.2.5 Determine Quartile 1 (Q1) if the Interquartile range (IQR) is 10% and Quartile 3 (Q3) is 18%. (3) 4.2.6 Write, as a ratio, the percentage of people preferring action movies to those who prefer horror movies. Write your answer in unit form. (3) 4.3 The individual tax rates for the tax year 2022 is shown on ANNEXURE F. Use ANNEXURE F to answer the following questions. 4.3.1 Trevor is a 67-year-old plumber who earned an annual taxable income of R126 500 in 2021. Did he meet the tax threshold requirements for 2021? Explain what this means. (2) 4.3.2 What information is needed to determine a person’s rebate? (2) 4.3.3 Mr Naidoo is a 72-year-old who earns a taxable income of R55 250 per month, 1 after deductions in the 2022 tax year. He claims that more than 4 (one quarter) of his annual taxable income is paid to SARS. Verify, showing all calculations, whether his claim is correct. (7) [39] TOTAL: 150 END

MATHEMATICAL LITERACY 10 (Paper 1) 10601/22 ANSWER SHEET Name: ____________________________________________________ GR 12 - ____ QUESTION 3.3.5 Electricity usage per household 45 40 35 30 25 20 15 10 5 Percentage electricity usage per household 0 Lights Geyser Laundry Other Pool pump Cold storage Space heating Downloaded from hlayiso.com Stove and oven Other cooking appliances Elements/Objects using electricity

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