Mathematical Literacy Grade 12 P1 NSC June 2022 QP (Eng)

Downloaded from hlayiso.com basic education Department: Basic Education REPUBLIC OF SOUTH AFRICA SENIOR CERTIFICATE EXAMINATIONS/ NATIONAL SENIOR CERTIFICATE EXAMINATIONS MATHEMATICAL LITERACY P1 2022 MARKS: 150 TIME: 3 hours This question paper consists of 12 pages, 1 answer sheet and an addendum with 4 annexures. Please turn over Copyright reserved

Downloaded from hlayiso.com Mathematical Literacy/P1 2 DBE/2022 SC/NSC 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: e ANNEXURE A for QUESTION 2.1 e ANNEXURE B for QUESTION 3.2 e ANNEXURE C for QUESTION 4.2 e ANNEXURE D for QUESTION 5.3 2.2 Answer QUESTION 4.1.7 on the attached ANSWER SHEET. 2.3 Write your centre number and examination number 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. Maps and diagrams are NOT necessarily drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/2022 SC/NSC QUESTION 1 11 Yvette runs a small business from home. She makes and sells lunch packs for learners and delivers them to school during their lunch break. TABLE 1 shows the items per lunch pack and the respective cost prices. TABLE 1: COST PRICE OF THE ITEMS COST PRICE ITEM COST (IN BULK) (PER LUNCH PACK) 100% fruit juice 1 fruit juice 24 per box = R5,63 R135,00 White bread 2 slices of bread 18 usable slices =RI1,55 R13,99 Cheese slices 1 slice cheese 54 slices per pack =R1,57 R84,99 & Apples 1 apple .-. apples per bag =R2,87 R22,99 2 Yoghurt 1 yoghurt wv = wu 6 per pack =R1,83 R10,99 EBS Sweets 1 sweet 4 24 per pack = R3,54 R85,00 Fomo tray 1 fomo tray 75 trays per pack =RI1,37 R102,95 [Adapted from www.checkers.com and www.takealot.com] Use the information above to answer the questions that follow. Calculate the selling price of ONE lunch pack. 1.1.6 Define the term profit in the given context. the bulk price of sweets. Copyright reserved Show how the cost of ONE yoghurt was calculated. Determine the maximum number of apples per bag. Show that the total cost to make ONE lunch pack is R18,36. The profit Yvette makes per lunch pack is R16,64. Write down, as a simplified ratio, the bulk price of the 100% fruit juice to Please turn over (2) (2) (2) (2) (2) (3)

Downloaded from hlayiso.com Mathematical Literacy/P 1 4 DBE/2022 SC/NSC 1.2 Yvette's lunch pack has the following bread/bread roll options to choose from: e White bread (W), brown bread (B) or a bread roll (R) e The bread or bread roll can be toasted (T) or not toasted (N). The diagram below illustrates the different options. Toasted White Bread ll Not Toasted Toasted — Bread Roll <= (b) Not Toasted == RN Toasted (a) —. Not Toasted BT BN Use the above information to answer the questions that follow. 1.2.1 1.2.2 1.2.3 1.2.4 Copyright reserved Name the type of diagram illustrated above. Complete missing labels (a) and (b). Write down the total number of outcomes. Calculate the number of toasted bread outcomes. Please turn over Q) (4) Q) 2)

Downloaded from hlayiso.com Mathematical Literacy/P1 3 DBE/2022 SC/NSC 1.3 | A company recorded the number of cellphones sold in two of their stores. The data for the last 12 months is given below. STORE A: 120 350 360 220 290 160 250 210 200 310 380 380 STORE B: 180 260 440 380 180 400 230 320 420 210 170 140 The diagrams below represent the data for each store. DATA DIAGRAMS FOR STORE A AND STORE B: Use the information above to answer the questions that follow. 1.3.1 Identify the type of diagram drawn above. (2) 1.3.2 Write out /QR in full. (2) 1.3.3 State the median for Store A. (2) 1.3.4 Calculate the difference between the maximum and minimum value for Store B. (3) 32] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P I 6 DBE/2022 SC/NSC QUESTION 2 2.1 Bongiwe received her levy statement of account from Rango Property Specialist for her rented unit. ANNEXURE A shows her adapted statement of account. Use ANNEXURE A to answer the questions that follow. 2.1.6 2.1.7 Copyright reserved Write down the reference number that Bongiwe must use when she pays her account. Give ONE reason why reference numbers are used when making payments. Calculate the missing value A, which has been omitted from the statement. The total amount due for this invoice is R2 340,73, including 15% VAT. Calculate the total amount due, excluding VAT. Calculate (rounded to TWO decimal places) the standard levy for June 2021 as a percentage of the amount due on the statement. Write down a possible payment option Rango Property Specialist will accept. Blueberry Gardens have 49 units in total. Calculate the total amount collected by the body corporate if all 49 units paid their levy CSOS on 1 July 2021. The Blueberry Gardens body corporate increased the standard levy by 6,45% from 1 August 2021. Calculate the new standard levy after the increase. Please turn over (2) (2) 2) (2) (4) (2) (3) (4)

Downloaded from hlayiso.com Mathematical Literacy/P 1 7 DBE/2022 SC/NSC 2.2 Bongiwe has twins, Sandile and Sakhile, who attend a private school. The total fees payable per child for the school year (January to November) is as follows: e Charges for aftercare are R7 700 per school year or R700 monthly. © The first child's school fee is R2 793 per month or R30 723 per school year. e A 10% discount on school fees is given to a second child. e A further 7,5% discount is given if school fees are paid in full by 31 January. e The monthly transport cost is R929. [Adapted from http://Awww.schoolcommunicator.com] Use the information above to answer the questions that follow. 2.2.1 Calculate the total transport cost for the twins for a full school year. Q) 2.2.2 Bongiwe intends on paying the school fees in full on 30 January. Determine the total amount of money Bongiwe will spend in ONE school year for the twins to attend the private school, including aftercare and transport. (8) [32] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P 1 8 DBE/2022 SC/NSC QUESTION 3 3.1 TABLE 2 below shows the estimated provincial half-yearly livestock numbers (in thousands) for the nine provinces in South Africa for August 2020 and February 2021. TABLE 2: ESTIMATED PROVINCIAL LIVESTOCK NUMBERS (IN THOUSANDS) IN SOUTH AFRICA (AUG. 2020 AND FEB. 2021) ESTIMATED LIVESTOCK NUMBERS (IN THOUSANDS) PROVINCE Cattle Sheep | Goats Aug. '20 | Feb. '21 | Aug.'20 | Feb.'21 | Aug. '20| Feb. '21 Western Cape 466 466, 2545) 2497 202 199 Northern Cape 419 418| 5182) 5079) 448 446 Free State 2.054 2023) 4330) 4.362) 215 211 Eastern Cape 3.050 3059] 6513) 6394) 1991 1968 KwaZulu-Natal 2 380 2320 628) 610 662 651 | Mpumalanga 1248 1243| 1527) 1508 | 78 16 Limpopo 860 850, A | 192 902 909 Gauteng 246 246 | 84 83 21 20 North West 1576 1545 | 596 585 651 641 Total 12299) 12170|__... 21310| 5170) 5121 [Adapted from www.dalrrd.gov.za] Use TABLE 2 above to answer the questions that follow. 3.1.1 Write down the province with the second highest number of sheep for February 2021. 3.1.2 Calculate Eastern Cape's estimated total number of livestock for August 2020. 3.1.3 The provincial mean number of sheep is 2 400 444. A farmer in Limpopo stated that the missing value A in the table is less than 200. Verify, showing ALL calculations, whether the farmer's statement is valid. 3.2 South Africa's agricultural sector sales in 2019 amounted to R317,6 billion. ANNEXURE B shows the distribution of these sales, as well as a further distribution of livestock sales into animals and produce. Use ANNEXURE B and the information above to answer the questions that follow. 3.2.1 3.2.2 3.2.3 3.2.4 Copyright reserved State whether the data displayed on ANNEXURE B is categorical or numerical data. Determine missing value A. Calculate, in millions, the actual rand value of horticulture sales. Give a valid reason why there is a category for other livestock under animals. Please turn over (2) (3) (7) (2) 2) GB) (2) [21]

Downloaded from hlayiso.com Mathematical Literacy/P 1 9 DBE/2022 SC/NSC QUESTION 4 4.1 The average monthly retail price for orange juice per litre in Canadian dollars (CAD) for 2018 to 2021 is shown on the ANSWER SHEET. The actual data values for each month in 2020 are also indicated. Use the graphs on the ANSWER SHEET to answer the questions that follow. 4.1.1 Calculate (in CAD) the difference between the price of orange juice in January 2019 and in February 2019. 4.1.2 Write down the month and year in which the price of orange juice was at its lowest. 4.1.3 State the month and years in which the price of orange juice was exactly the same. 4.14 Determine the median monthly price of orange juice for 2020. 4.15 Describe the trend of the price of orange juice from February 2018 to July 2018. 4.1.6 An analyst predicted that the price of orange juice would drop by 0,16 CAD from February 2021 to March 2021. Determine the year-on-year percentage increase from March 2020 to March 2021. You may use the following formula: Percentage Increase = ee x 100% Old value 4.17 The analyst's prediction for the price of orange juice for the rest of the year 2021 is shown in TABLE 3 below. TABLE 3: PREDICTED PRICE OF ORANGE JUICE FOR 2021 Apr. | May | Jun. | Jul. | Aug. | Sep. | Oct. | Nov. | Dee. 4,25 | 4,28 | 43 | 4,05 | 435 | 42 | 4,15 | 4,27 | 4,2 Use the ANSWER SHEET to complete the line graph for March 2021 to December 2021. Copyright reserved Please turn over (3) 2) (2) (4) (2) (G) (4)

Downloaded from hlayiso.com Mathematical Literacy/P1] 10 DBE/2022 SC/NSC 4.2 John considers moving from Toronto in Canada to either Cape Town or Ekurhuleni in South Africa. ANNEXURE C shows a comparison of the water tariffs in some of the metropolitan areas in South Africa. John estimates that he will use an average of 45 k€ of water per month. Use ANNEXURE C to answer the question that follows. John states that if he chooses to live in Cape Town, he will be paying R3 600 more per year compared to a person living in Ekurhuleni who also uses an average of 45 k€ of water per month. Show, by means of calculations, whether John's statement is CORRECT. (10) [32] Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 il DBE/2022 SC/NSC QUESTION 5 5.1 Shamila, a teacher at a local high school, is going on retirement. The estimated value of her full pension fund benefit is R3 457 920,00. She has two options to consider when she retires. Option 1: Withdraw a third of the full pension fund benefit. Option 2: Withdraw 100% of her full pension fund benefit. TABLE 4 below indicates the tax payable on retirement benefits. TABLE 4: RETIREMENT BENEFIT TAX TABLE (1 March 2021 to 28 February 2022) TAXABLE INCOME (R) | RATES OF TAX (R) 1-500 000 | 0% of taxable income 500 001-700 000 | 18% of taxable income above 500 000 700 001-1 050 000 | 36 000 + 27% of taxable income above 700 000 1.050 001 and above | 130 500 + 36% of taxable income above 1 050 000 [Adapted from sars.gov.za] Use the information above to answer the questions that follow. 5.1.1 Write out Shamila's full pension fund benefit in words. (2) 5.1.2 Determine the amount of money that Shamila can withdraw if she chooses Option 1. (2) 5.1.3 Shamila decides to choose Option 2 as she wants to loan money to her daughter, Suraya, who intends on relocating to New Zealand. (a) Shamila states that the amount of tax she will pay on the estimated value of her pension fund of R3 457 920,00 is more than R1 000 000. Verify, showing ALL calculations, whether her statement is CORRECT. (6) (b) The ratio of the estimated value of Shamila's full pension (before tax) to her daughter's loan amount is: 9,8798 : 1. Determine, to the nearest thousand rand, the amount that her daughter will borrow. (4) (c) Suraya agrees to borrow the money at a simple interest rate of 7,8% per annum. She intends to repay the total amount with interest at the end of a three-year period. Determine the total amount she will have to repay after three years. (4) Copyright reserved Please turn over

Downloaded from hlayiso.com Mathematical Literacy/P1 12 DBE/2022 SC/NSC 5.2 Suraya has established that the cost of relocating a family of four to New Zealand is 5.3 approximately R280 000. Her husband is an entrepreneur and wants to start his own business in New Zealand. Suraya, who is a teacher, would need a skilled migrant resident visa, while her husband will need an entrepreneurs visa. A skilled migrant resident visa costs €2 093 and a visa for entrepreneurs costs NZ$4 745. TABLE 5 shows the exchange rate for selected countries on 3 September 2021. TABLE 5: EXCHANGE RATE ON 3 SEPTEMBER 2021 US dollar | $1 14,455516 ZAR Euro €0,0581765 1 ZAR British pound £1 20,01924 ZAR Japanese yen ¥1 0,13156142 ZAR New Zealand dollar NZ$0,0969907 1 ZAR [Adapted from www.new-zealand-immigration and www.businesstech.co.za] Use the information above to answer the questions that follow. 5.2.1 Determine the exchange rate of the New Zealand dollar (NZ$) in terms of the euro (€) on 3 September 2021 in the form 1 NZD: ... 5.2.2 Calculate (rounded to the nearest R100) the total cost of the two visas that they will require on 3 September 2021. The graphs on ANNEXURE D represent the monthly exchange rate of the Chinese yuan and the US dollar from July 2020 to December 2020. [Adapted from www.new-zealand-immigration and www.businesstech.co.za] Use ANNEXURE D to answer the questions that follow. 5.3.1 State, with a reason, which graph a Chinese citizen would use to explain that his country's currency is strengthening against the US dollar over the six-month period. 3.3.2 The same set of data was used to draw Graph A and Graph B. Give a VALID reason why the graphs look different. TOTAL: Copyright reserved (4) (6) G) 2) B3] 150

Downloaded from hlayiso.com Mathematical Literacy/P1 DBE/2022 SC/NSC ANSWER SHEET QUESTION 4.1.7 CENTRE NUMBER: EXAMINATION NUMBER: Average monthly price of orange juice in Canada 4.6 @ 4.5 5 @ “ 4143 7 439 A 4.4 ¢ 45 43 ¢ - m Average retail price in Canadian dollar a nN 3.8 . JAN. FEB. MAR. APR. MAY JUN. JUL. AUG. SEP. OCT. NOV. DEC. == 2018 se-@ 2019 —e— 2020 -* 2021 Copyright reserved