MATH LITERACY P1 GR12 QP SEPT2024 English hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 SEPTEMBER 2024 MATHEMATICAL LITERACY P1 MARKS: 150 TIME: 3 hours This question paper consists of 16 pages, including 2 answer sheets and 2 annexures. Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) INSTRUCTIONS AND INFORMATION 1. The question paper consists of FIVE questions. Answer ALL the questions. 2. Use the ANNEXURES in the ADDEDUM included in the QUESTION PAPER to answer the following questions: ANNEXURE A for QUESTION 1.1 ANNEXURE B for QUESTION 2.1 3. Answer QUESTION 3.2.3 and 4.1.2 on the answer sheets provided. Write your name and surname in the space provided in the ANSWER SHEET and hand in the ANSWER SHEETS with your ANSWER BOOK. 4. Start EACH question on a NEW page. 5. Number the answers correctly according to the numbering system used in this question paper. 6. You may use a non-programmable calculator. 7. You may use appropriate mathematical instruments. 8. Show ALL formulae and substitutions in ALL calculations. 9. Round off ALL final answers according to the context used, unless stated otherwise. 10. Write neatly and legibly. Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 Use ANNEXURE A to answer the following questions. 1.1.1 Calculate the value of A. (2) 1.1.2 Define the term opening balance. (2) 1.1.3 Show how the income of R6 602,70 was calculated. (2) 1.1.4 Calculate the value of B. (2) 1.1.5 Write the total expenditure in words. (2) 1.1.6 Determine the difference between the maximum and minimum October expenditure. (3) 1.2 The Matric Dance Fundraising Committee bought 4 boxes of pens and sold each pen at R5,00 each. BIC Orange Fine Ball Point Pen ‒ Black (Box of 60) R249,00 1.2.1 Calculate the cost of one black pen. (2) 1.2.2 Determine the profit made on one black pen. (2) 1.2.3 Calculate the number of pens that were sold during the fundraising. (2) 1.2.4 Determine the percentage profit from selling one black pen. (2) 1.2.5 Determine the probability of randomly selecting a red pen in one of the boxes that have been bought. (2) Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) 1.3 Mrs Jones bought a bomber jacket on 24 November 2023, on Black Friday. The cost of the bomber jacket is shown below. BOYS BOMBER JACKET Was: R499,00 (VAT incl.) Now: R336,75 1.3.1 Which day of the week is Black Friday? (2) 1.3.2 Determine the percentage discount that was offered on the bomber jacket. (3) 1.3.3 Determine what the VAT exclusive price of the bomber jacket was. (2) [30] Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 5 QUESTION 2 2.1 Pie Sese received her employee income tax certificate information for the financial year ending 2023/02. This information is on ANNEXURE B. Some information has been omitted. Use ANNEXURE B to answer the questions that follow. 2.1.1 Write down the annual taxable payment amount that Pie Sese received. (2) 2.1.2 Calculate the monthly medical aid tax credit fees. (2) 2.1.3 Pie contributed 36,5% to her pension fund from 1 March 2023 to 30 September 2023. Determine the average monthly contribution for the remainder of the financial year. (5) 2.2 Joy needs a laptop, which costs R5 999,00. She asked for the money from her sister who lives in the United States of America. The exchange rate was as follow: R1 = 0,05 US dollar. 2.2.1 Explain the term exchange rate. (2) 2.2.2 Was the ZAR stronger or weaker against the US dollar? (2) 2.2.3 Joy’s sister gave her 300 US dollars to buy a new laptop. She stated that the money would be enough to purchase the laptop. Verify, showing ALL calculations, if Joy’s sister is correct. (3) 2.3 Mrs Teddy went to check the maturity value towards her retirement annuity, as she will be turning 55 in 4 months’ time. She expects to receive her lump sum when she turns 55. The sales lady informed her that the maturity value is R334 159, and she will receive 1/3 of this lump sum. This is because as from 2017 South African law stated that if a lump sum exceeded R247 500, a person will receive 1/3 of the total lump sum and thereafter will receive equal instalments. Mrs Teddy decided to invest the 1/3 of her lump sum at 9% p.a. compounded half yearly for 2 years. 2.3.1 Calculate the amount Mrs Teddy will receive when she turns 55 years old. (3) 2.3.2 Mrs Teddy says that the interest she will receive after 2 years is R24 500. Verify, showing ALL calculations, that her statement is valid. (8) Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) 2.4 Mr Walker, the owner of Ray Restaurant, wants to install Wi-fi as part of increasing the business. He received two options to choose from. The options are shown in the table below: TABLE 1: BUSINESS INTERNET OPTIONS BUSINESS INTERNET LTE 24 MONTHS CONTRACT SAVINGS 10 Mbps R299 pm Save R3 600 20 Mbps R399 pm Save R6 000 BUSINESS INTERNET FIBRE-OPTIC 24 MONTHS CONTRACT SAVINGS 20 Mbps R549 pm Save R2 400 50 Mbps R749 pm Save R2 400 Mbps – Megabits per second Mr Walker wants to buy 40 Mbps. The sales representative offered him the following options: • Buying FOUR 10 Mbps LTE • Buying TWO 20 Mbps LTE He found out that it’s cheaper to buy 50 Mbps fibre-optic than it is to buy 40 Mbps LTE. Verify, by means of calculations, if Mr Walker’s statement is valid. (8) [35] Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 7 QUESTION 3 3.1 The Minister of Basic Education in her address stated that, there has been a significant improvement in the performance of all subjects, EXCEPT a few. TABLE 2 below represents the subjects with high enrolment. Improvement was noted in all subjects, EXCEPT History and Mathematical Literacy. TABLE 2: COMPARISON OF PERFORMANCE IN SUBJECTS 2022 AND 2023 DIFFERENCE IN SUBJECT DISCRIPTION 2022 2023 PERCENTAGE FROM 2022 TO 2023 Accounting 75,4% 76,9% 1,5% Agricultural Sciences 75,8% 80,5% 4,7% Business studies 76,7% 81,8% 5,1% Economics 71,5% B 3,0% Geography 81,3% 86,2% 4,9% History 88,2% 87,7% ‒0,5% Life Sciences 71,5% 75,6% 4,1% Mathematical Literacy 85,7% 82,3% A Mathematics 55,0% 63,5% 8,5% Physical Sciences 74,6% 76,2% 1,6% Use the table above to answer the questions that follow. 3.1.1 Calculate the value of A. (2) 3.1.2 Which subject has the largest percentage decrease between 2022 and 2023? (2) 3.1.3 Calculate the range of the differences in percentages. (4) 3.1.4 The mean percentage of the 2023 performance in all the subjects is 78,52%. Determine the value of B using all 10 subjects. (4) 3.1.5 Write the probability of randomly selecting a subject(s) with a decrease in percentage, as a decimal. (3) Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) 3.2 The table below represents the scores for the 2023 Rugby World Cup quarter-finals, semi-finals and final. TABLE 3: 2023 RUGBY WORLD CUP QUARTER-FINAL, SEMI-FINAL AND FINAL SCORES QUARTER-FINALS SEMI-FINALS FINAL GAMES TEAMS SCORES TEAMS SCORES TEAMS SCORES 1st game Wales 17 Argentina 6 vs New Argentina 29 vs Zealand 11 2nd game Ireland 24 New Zealand 44 vs vs New 28 Zealand A 12 3rd game England 30 England 15 vs Fiji 24 vs 4th game France 28 South Africa 16 vs South Africa 29 Use the table above to answer the questions that follow. 3.2.1 Which team is represented by A in the FINAL game? (2) 3.2.2 Identify the team with the highest score in the semi-final games. (2) 3.2.3 Draw a double bar graph for the scores in the quarter-finals on ANSWER SHEET 1 provided. (6) 3.2.4 Identify the modal score in the semi-finals. (2) [27] Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 9 QUESTION 4 4.1 Mrs Shield wants to start an internet café as a small business. She wants to start by printing school magazines that will need colour printing for pictures of school events. She wants to hire a photocopy machine, and approached two shops that sells office equipment. At Umlazi Office Equipment she saw a big Olivetti d-MF2555 photocopier machine. At Queens Shop she saw the Canon MG 2500 series printer. The offers for renting the machines are given below: RENT OFFER 1: Umlazi Office Equipment RENT OFFER 2: Queens Shop RENTAL: R450,00 per month RENTAL: R350,00 per month ➢ R0,12c excl. VAT per black print ➢ R0,20 per black print ➢ R0, 70c incl. VAT per colour print ➢ R0,90 per colour print Includes: Toners, service, spares, transport Includes: Service of the machine, and labour. toners, spares, transport and labour. 4.1.1 Define the term variable cost in the given context. (2) 4.1.2 Write down the equations for colour printing for both companies. (4) 4.1.3 Complete the table and DRAW a line graph for both options on ANSWER SHEET 2, using the cost equation in QUESTION 4.1.2. (9) 4.1.4 How many copies must be printed for the two companies to have the same cost? (2) 4.1.5 Which company should Mrs Shield rent the photocopying machine from? (2) Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) 4.2 TABLE 4 below represents the results of Primary School Field Events. Primary Schools took part in the regional 2024 competition. TABLE 4: FIELD EVENTS RESULTS FOR PRIMARY SCHOOL GENDER BOYS GIRLS EVENTS 10 11 12 13 10 11 12 13 years years years years years years years years SHOT PUT 9,00 m 11,30 m 11,00 m 11,50 m 8,00 m 9,70 m 9,60 m 10,20 m HIGH JUMP 1,24 m 1,34 m 1,48 m 1,54 m 1,18 m 1,30 m 1,40 m 1,48 m LONG JUMP 4,10 m 4,50 m 4,80 m 5,20 m 3,80 m 4,10 m 4,40 m 4,60 m 4.2.1 Explain, with justification, whether the data is discrete or continuous? (3) 4.2.2 Which age group has the highest results? (2) 4.2.3 Explain why the results for the high jump event is lower than the results of the shot put and long jump events. (3) 4.2.4 The range for all ages in the long jump events suggests that the results are grouped closer to the median. Verify, by showing ALL calculations, whether the statement is correct. (6) [33] Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 11 QUESTION 5 5.1 The water account Mrs Wales received from Ndondo Municipality is provided below. TABLE 5: MRS WALES’ WATER ACCOUNT The Ndondo Municipality Private bag X1937 Tel: (011) 2328910 Street Client Name Invoice Number address 6 Edenvale Mrs L Wales AVE-40103652 Flat Date Consumption Charge VAT Grand Total Details (in Rands) (15%) Due 15/12/2023 32 kℓ … Kilolitres Tariff (per kℓ) (VAT exclusive) 0–6 kℓ R18,12/kℓ 7–15 kℓ R29,26/kℓ 16–30 kℓ R36,58/kℓ 31+ kℓ R45,52/kℓ Sanitation (excl. vat) R59,96 Previous consumption statistics: SEP OCT NOV 30 kℓ 34 kℓ 36 kℓ 5.1.1 Calculate the amount charged for water, including VAT, that Mrs Wales used in December. (8) 5.1.2 Calculate the median tariffs per kilolitre. (3) Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 12 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) 5.2 Which tariff bracket had a higher percentage increase when Nowa municipality increased the water tariffs from 2022/2023 to 2023/2024? (7) 5.3 The Consolidated Government expenditure by function for 2023/2024 and 2024/2025 is illustrated in the table below. Some information has been omitted. TABLE 6: CONSOLIDATED GOVERNMENT EXPENDITURE BY FUNCTION 2023/2024 2024/2025 R billion REVISED ESTIMATES MEDIUM TERM ESTIMATION Learning and culture 468,4 480,6 Health 267,3 271,9 Social development 368,5 387,3 Community development 251,5 265,3 Economic development 239,8 255,4 Peace and security 236,8 244,0 General public service 76,9 74,7 Payments for financial assets 3,5 2,6 Calculate the interquartile range for 2024/2025 medium term estimation. (7) [25] TOTAL: 150 Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 13 ANSWER SHEET 1 QUESTION 3.2.3 NAME AND SURNAME: ___________________________________________________ SCORES FOR QUARTER-FINALS 35 30 25 20 SCORES 15 10 5 0 1st game 2nd game 3rd game 4th game TEAMS Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 14 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) ANSWER SHEET 2 QUESTION 4.1.2 NAME AND SURNAME: ________________________________________________________ NO. OF COPIES 0 100 300 500 700 900 OFFER 1: Cost (R) 450 OFFER 2: Cost (R) 620 Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com (EC/SEPTEMBER 2024) MATHEMATICAL LITERACY P1 15 ANNEXURE A QUESTION 1.1 4th Quarter Income and Expenditure (Oct–Dec 2023) INCOME Opening Balance = R612,20 Description October November December Totals Amounts Amounts Amounts Amounts (R thousand) (R thousand) (R thousand) (R thousand) Coca R4 102,70 R3 654,50 R540,00 R8 297,00 Fundraising R500,00 R6 000,00 R6 500 Donations R1 000,00 R2 000,00 R3 000 Poor Fund R1 000,00 R790,00 R600,00 R2 390 TOTALS R6 602,70 R12 444,50 R1 140,00 R20 187,00 Total Income + Opening Balance = A EXPENDITURE Description October November December Totals Amounts Amount Amount Amount (R thousand) (R thousand) (R thousand) (R thousand) Electricity R400,00 R300,00 R300,00 R1 000,00 Wages R3 000,00 R3 000,00 R3 000,00 R9 000,00 Envelopes R288,00 R288,00 Cleaning R350,00 R350,00 material Tokens R5 500,00 B Mission R1 500 R790,00 R600,00 R2 890 work Maintenance 0 TOTALS R5 538,00 R9 590,00 R3 900 R19 028,00 Total expenditure = R19 028,00 Closing balance = R20 187,00 – R19 028,00 = R1 159,00 Copyright reserved Please turn over Hosted by www.ecexams.co.za.

Downloaded from hlayiso.com 16 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2024) ANNEXURE B QUESTION 2.1 EMPLOYEE INCOME TAX CERTIFICATE INFORMATION Transaction year: 2023 Year of assessment: 2023 Period of reconciliation: 2023/02 TYPE OF CERTIFICATE: IRP5 EMPLOYEE INFORMATION Surname: Sese Date of birth: 20030719 First Name: Pie Income Tax: 0609781234 EMPLOYER INFORMATION Trading or other name: Department of Education INCOME RECEIVED INCOME RECEIVED TAX CREDITS, CONTRIBUTIONS AMOUNT SOURCE CODE AMOUNT SOURCE CODE AMOUNT SOURCE CODE R363 721 3601 GROSS RETIREMENT FUNDING INCOME PAYE R30 533 3605 R363 721 3697 R87 959,49 4102 R102 853 3713 GROSS NON-RETIREMENT FUNDING INCOME TOTAL TAX AND UIF R12 168 3810 R145 554 3698 R87 959,49 4149 DEDUCTIONS/CONTRIBUTIONS/INFORMATION MEDICAL SCHEME FEES TAX CREDIT R86 238 4001 R4 164,00 4116 R47 403 4005 R12 168 4474 TOTAL DEDUCTIONS/CONTRIBUTIONS/INFORMATION RA 4497 SOME SOURCE CODES: 3603 – INCOME TAXABLE; 3605 ‒ ANNUAL PAYMENT – TAXABLE; 3713 ‒ OTHER ALLOWANCE – TAXABLE; 3810 ‒ MEDICAL AID CONTRIBUTION OF EMPLOYEE 4001 ‒ CURRENT FUND CONTRIBUTION; 4005 ‒ MEDICAL AID CONTRIBUTION; 4474 ‒ EMPLOYEE’S MEDICAL AID CONTRIBUTIONS; 4497 ‒ TOTAL DEDUCTIONS/CONTRIBUTIONS Copyright reserved Hosted by www.ecexams.co.za.