Mathematical Literacy Grade 12 P1 North West June 2024 QP

PROVINCIAL ASSESSMENT GRADE 12 MATHEMATICAL LITERACY P1 JUNE 2024 MARKS: 100 TIME: 2 hours This question paper consists of 10 pages, 2 annexures and 1 answer sheet. Copyright reserved Please turn over

Mathematical Literacy/P1 2 NW/June 2024 Grade 12 INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANNEXURES and ANSWER SHEET to answer the following questions. ANNEXURE A for QUESTION 2.1 ANNEXURE B for QUESTION 2.2 ANSWER SHEET for QUESTION 2.3.2 3. Start EACH question on a NEW page. 4. Number the answers correctly according to the numbering system used in this question paper. 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

Mathematical Literacy/P1 3 NW/June 2024 Grade 12 QUESTION 1 1.1 Lebogang compared prices of three different stores during the Black Friday 2023 special. TABLE 1 below shows the prices at three different stores. TABLE 1: THE COST OF GROCERY ITEMS AT THREE DIFFERENT STORES. ITEMS STORE A STORE B STORE C 1 ℓ Vanilla Custard 5 for R99,00 R20,00 R18,00 2 ℓ Cooking oil 3 for R200,00 2 for R120,00 R79,00 500 g Rama 6 for R99,00 2 for R49,00 R15,00 410 g baked beans 3 for R30,00 5 for R64,00 R10,00 750 g Cremora R49,00 2 for R80,00 R35,00 2 kg Rice 3 for R60,00 3 for R60,00 R20,00 2 ℓ Oros R32,00 R36,00 R30,00 [Adapted from Pinterest, 2023] Use TABLE 1 above to answer the questions that follow. 1.1.1 Identify whether the prices given in TABLE 1 are categorical or numerical data. (2) 1.1.2 Arrange the prices for store C in ascending order. (2) 1.1.3 Name the store with the highest price for 2 ℓ Oros. (2) 1.1.4 Determine as a unit ratio, in the form 1 : …, the 1 ℓ vanilla custard price at Store B to the 1 ℓ vanilla custard price at store C. (3) 1.1.5 Calculate the price of ONE 410 g baked beans at Store B. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 4 NW/June 2024 Grade 12 1.2 Mr Moeng contributes a regular monthly amount from his salary towards his pension fund. This amount is deducted from his salary through stop order on the 15th day of each month. TABLE 2 below shows an extract of the estimated benefit from Government Employees Pension Fund. TABLE 2: ESTIMATE OF BENEFITS AS AT 30 AUGUST 2023 Name and surname Ditiro Moeng First date of contribution into the fund 15/01/1998 Number of years contributing into the fund 25 years 8 months Current annual salary R490 312 Lump sum payable during retirement R1 186 999 Lump sum payable to beneficiaries R2 396,76 Resignation benefits R2 660 582 [Adapted from Government Employee Pension Fund estimated benefit, 2023] Use TABLE 2 above to answer the questions that follow. 1.2.1 Give the acronym for Government Employees Pension Fund. (2) 1.2.2 Define the term stop order. (2) 1.2.3 Write down the resignation benefits amount in words without using numerals. (2) 1.2.4 Round off Mr Moeng’s current annual salary to the nearest thousand. (2) [19] Copyright reserved Please turn over

Mathematical Literacy/P1 5 NW/June 2024 Grade 12 QUESTION 2 2.1 ANNEXURE A shows an extract from Mr Ditiro’s monthly municipal statement including stepped residential water tariffs and fixed rates. Use ANNEXURE A to answer the questions that follow. 2.1.1 Calculate the missing value of A, the previous reading. (3) 2.1.2 Mr Ditiro states that his total water charge (excluding VAT) is R1 434,53 when using the stepped residential water tariffs and fixed rates. Verify, showing ALL calculations, whether his statement is valid. (6) 2.2 ANNEXURE B shows Mr Ditiro’s home loan statement from ABC Bank. The monthly administration fee remains constant throughout the period of the loan. Use ANNEXURE B to answer the questions that follow. 2.2.1 Write down the date on which the home loan was registered. (2) 2.2.2 The fixed monthly administration fee of R69,00 includes VAT. Calculate VAT amount that is included in the monthly administration fee. (3) 2.2.3 Calculate the administration fee (including VAT) payable for the whole loan period. (3) 2.2.4 Calculate the total amount of money that Mr Ditiro will pay back to the bank. You may use the formula: Total amount = monthly instalment × number of months (3) 2.2.5 Mr Ditiro paid more money towards his loan when compared to the agreed monthly instalment. Calculate the extra total payment for the period shown in his home loan statement. (5) 2.2.6 Mr Ditiro receives an electronic copy of his statement every month which is opened only by using his identity number. Give ONE reason for using an identity number to open the home loan statement. (2) Copyright reserved Please turn over

Mathematical Literacy/P1 6 NW/June 2024 Grade 12 2.3 Aihan wants to start her own business, specialising with one of her favourite Chinese dishes, Chow Mein. Her variable cost to make one plate of Chow Mein is R15,00 and her fixed cost is R750,00. The selling price of one plate is R30,00. TABLE 3 shows the income and cost from the sale of Chow Mein. TABLE 3: INCOME AND COST OF SELLING CHOW MEIN PLATES Number of plates 0 10 30 40 70 90 100 Income ( R ) 0 300 900 1 200 2 100 2 700 3 000 Cost ( R) 750 900 1 200 1350 1 800 2 100 2 250 Use TABLE 3 and the information above to answer the questions that follow. 2.3.1 Determine the number of plates sold if the total cost was R1 950,00. You may use the formula: Total Cost = R750 + 15 p where p = number of plates. (4) 2.3.2 The income graph has already been drawn on the attached ANSWER SHEET. Use TABLE 3 and the same grid on the ANSWER SHEET to draw another line graph representing the cost for making different plates of Chow Mein. (3) 2.3.3 Determine the number of Chow Mein plates at the break-even point. (2) [36] Copyright reserved Please turn over

Mathematical Literacy/P1 7 NW/June 2024 Grade 12 QUESTION 3 3.1 TABLE 4 shows Mathematical Literacy overall performance rates for candidates who wrote the National Senior Certificate Examinations in South Africa for a period of 2016 to 2023. TABLE 4: OVERALL PERFORMANCE IN MATHEMATICAL LITERACY Year Number Number Number % Number % Wrote performed performed performed performed performed below at 30% at 30% at 40% 40% and 30% and above and above and above above 2016 361 948 104 022 257 926 71,3 167 811 46,4 2017 313 030 81 800 231 230 73,9 140 991 45,0 2018 294 204 62 979 213 225 72,5 133 568 45,4 2019 298 607 57 791 240 816 80,6 B A 2020 341 363 83 679 257 684 80,8 197 131 57,7 2021 441 067 112 685 328 382 74,5 216 692 49,1 2022 450 005 64 490 385 515 85,7 271 830 60,4 2023 421 835 74 608 347 227 82,3 239 045 56,7 [Adapted from National diagnostic reports 2022 & 2023] Use TABLE 4 above to answer the questions that follow. 3.1 Define the term mode. (2) 3.2 Calculate the median number of candidates who wrote over the period shown. (4) 3.3 Calculate the range of percentage performed at 30% and above over the period shown. (3) 3.4 Calculate the percentage decrease for the number of candidates who wrote between 2022 and 2023. (3) You may use the formula: number wrote in 2023  number wrote in 2022 % decrease = ×100% number wrote in 2022 3.5 Calculate the missing value of A if the mean percentage over the period shown above is 51,9%. (4) 3.6 Comment on the trend of the percentage performed at 40% and above from 2020 to 2023. (3) 3.7 Determine the probability, as a decimal, of randomly selecting the number of candidates who performed below 30% in 2018. (3) [22] Copyright reserved Please turn over

Mathematical Literacy/P1 8 NW/June 2024 Grade 12 QUESTION 4 4.1 Siyabonga who is a 65 year old, earn an annual taxable income of R120 278,00 for the 2023/2024 tax year. He is not a member of any medical aid fund. TABLE 5 below shows the tax table for the year 2023/24 tax year. TABLE 5: 2023/2024 TAX YEAR (1 March 2023 – 28 February 2024) TAXABLE INCOME RATES OF TAX ( R ) (R) 1 1 – 237 100 18% of taxable income 2 237 101 – 370 500 42 678 + 26% of taxable income above 237 500 3 370 501 – 512 800 77 362 + 31% of taxable income above 370 500 4 512 801 – 673 000 121 475 + 36% of taxable income above 512 800 5 673 001 – 857 900 179 147 + 39% of taxable income above 673 000 6 857 901 – 1 817 000 251 258 + 41% of taxable income above 857 900 7 1 817 001 and above 644 489 + 45% of taxable income above 1 817 000 TABLE 6 below show the tax rebates for the year 2023/24 tax year. TABLE 6 : TAX REBATES FOR THE YEAR 2023/24 TAX YEAR TAX REBATES Primary (Below age 65) R17 235,00 Secondary (Age 65 to below 75) R9 444,00 Tertiary (Age 75 and over) R 3 145,00 [From http://www.sars.gov.za] Use TABLE 5 and TABLE 6 above to answer the questions that follow. 4.1.1 Identify which tax bracket Siyabonga falls in, based on his taxable income. (2) 4.1.2 Siyabonga claims that he should NOT be paying any income tax. Verify, showing ALL calculations, whether his claim is valid. (6) Copyright reserved Please turn over

Mathematical Literacy/P1 9 NW/June 2024 Grade 12 4.2 Siyabonga’s son, Lunga, attended the Expo for Young Scientists in China. He exchanged R2 600,00 for Chinese Yuan. The exchange rate between South African rands and Chinese Yuan on 12 March 2024 is given in TABLE 7 below. TABLE 7: EXCHANGE RATE SOUTH AFRICA RAND (ZAR) CHINESE YUAN (CN¥) 1 0,39 2,564102564 1 [From http//www.x-ratess.com] Use TABLE 7 and the information above to answer the questions that follow. 4.2.1 Calculate the amount Lunga received in Chinese Yuan (CN¥). (2) 4.2.2 Lunga did not spend all his money and decided to invest R550,00 in a fixed deposit account for 2 years at a compound interest rate of 9,5% per annum. Calculate, without the use of a formula, the value of the fixed deposit at the end of 2 years. Showing ALL the steps of the calculations. (5) Copyright reserved Please turn over

Mathematical Literacy/P1 10 NW/June 2024 Grade 12 4.3 The box and whisker plot below shows performance rates of grade 12 learners for the 2022 and 2023 Mathematical Literacy Olympiads. 2022 2023 Use the box and whisker plots above to answer the questions that follow. 4.3.1 Write down the percentage of learners who performed below the 61,8% percentile. (2) 4.3.2 Calculate the interquartile range (IQR) of the performance rate in 2022. (4) 4.3.3 Give ONE reason why the performance rate was higher in 2023. (2) [23] TOTAL: 100 Copyright reserved

Mathematical Literacy/P1 NW/June 2024 Grade 12 ANNEXURE A QUESTION 2.1 EXRACT FROM MR DITIRO’S MUNICIPAL STATEMENT Mr Ditiro Account No : 0000000957 Alberton Statement date : 25/10/2023 1450 Meter number Previous reading Recent Reading Consumption / Reading date (kℓ) (kℓ) Water usage (kℓ) 206 A 9 273 24 25/09/2023 STEPPED RESIDENTIAL FIXED RATES PER MONTH WATER TARIFF TARIFF SUMMARY TARIFF KILOLITRES TARIFF R/kℓ 2023/24 PER MONTH Consumption less than or equals to R0,00 from 0 to 6 R18,12 6 kℓ More than 6 to 15 R29,86 Consumption exceeding 6 kℓ but less R179,18 More than 15 to 30 R36,58 than or equal to 15 kℓ More 30 to 45 R45,52 Consumption exceeding 15 kℓ but R727,85 above 46 or more R56,12 less than or equal to 30 kℓ Consumption exceeding 30 kℓ R1 410,40 [Adapted from www.ekurhulemi.gov.za] Copyright reserved

Mathematical Literacy/P1 NW/June 2024 Grade 12 ANNEXURE B QUESTION 2.2 QUARTERLY HOME LOAN STATEMENT FROM ABC BANK. Mr Ditiro 132 Rivonia Road P.O Box 125 Sandton Mafikeng 2196 2740 Tel : 0800 555 000 www.abcbank.co.za Cell : *** *** 1294 Bond number : 8230111287 Statement date :2023/11/30 Total loan amount Balance outstanding R145 500,00 R81 371,11 Installment R1 862,06 Registration date 25/02/2016 Interest rate 12,40% Registered R145 500 ,00 amount Loan term 240 months Date Transaction Debit ( R ) Credit ( R ) Balance ( R ) 01/09/2023 Balance brought forward 93 653,73 01/09/2023 Interest 1 001,23 0,00 94 654,96 02/09/2023 Insurance 236,15 0,00 94 891,11 15/09/2023 Payment 0,00 2 300,00 92 591,11 30/09/2023 Administration fee 69,00 0,00 92 660,11 (Including 15% VAT ) 01/10/2023 Interest 954,55 0,00 93 614,66 02/10/2023 Insurance 236,15 0,00 93 850,81 13/10/2023 Payment 0,00 2 300,00 91 550,81 31/10/2023 Administration fee 69,00 0,00 91 619,81 (Including 15% VAT ) 01/11/2023 Interest 908,94 0,00 92 528,75 02/11/2023 Insurance 250,25 0,00 92 779,00 15/11/2023 Payment 0,00 2 300,00 90 479,00 [Adapted from Nedbank home loan statement,2023] Copyright reserved

Mathematical Literacy/P1 NW/June 2024 Grade 12 ANSWER SHEET QUESTION 2.3.2 NAME : __________________________ GRADE :__________________ INCOME AND COST OF SELLING CHOW MEIN PLATES 3500 3000 2500 Amount in rand 2000 1500 1000 500 0 0 10 20 30 40 50 60 70 80 90 100 Number of plates Copyright reserved