Mathematical Literacy Grade 11 P1 2023 QP (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2023 MATHEMATICAL LITERACY P1 MARKS: 100 TIME: 2 hours This question paper consists of 10 pages including an answer sheet.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2023) INSTRUCTIONS AND INFORMATION 1. This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANSWER SHEET to answer QUESTION 4.1.4. 3. Number the answers correctly according to the numbering system used in this question paper. 4. Diagrams are not necessarily drawn to scale, unless stated otherwise. 5. Round off ALL final answers according to the context used, unless stated otherwise. 6. Indicate units of measurement, where applicable. 7. Start EACH question on a NEW page. 8. Show ALL calculations clearly. 9. Write neatly and legibly. Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P1 3 QUESTION 1 1.1 David runs a small motorcycle service business from home. Given below is the budget drawn up by him for the new month. INCOME AMOUNT EXPENSES AMOUNT 26 Motorcycle services R33 150 Detergents R375 25 Car washes R1 625 Motorcycle parts … Water R850,25 Other R1 500 TOTAL INCOME … TOTAL EXPENSES R7 927,86 1.1.1 Calculate David’s total income for the month. (2) 1.1.2 Determine the amount charged per motorcycle service. (2) 1.1.3 Calculate the amount spent on motorcycle parts. (2) 1.1.4 Calculate what percentage of total expenses David spends on water. (3) 1.2 TABLE 1 below shows the tollgate tariffs for the N1 road. TABLE 1: N1 TOLLGATE TARIFFS Tollgate (N1) Class 1 Class 2 Class 3 Class 4 Huguenot ‒ Main line R44,50 R123,00 R193,00 R313,00 Vaal Plaza ‒ Main line R74,50 R140,00 R169,00 R225,00 Grasmere ‒ Main line R22,50 R67,00 R78,00 R103,00 ‒ Ramp (N) R11,50 R33,00 R39,00 R51,00 ‒ Ramp (S) R11,50 R33,00 R39,00 R51,00 Verkeerdevlei – Main line R64,00 R128,00 R193,00 R271,00 VEHICLE CLASS APPLICABLE TO CONVENTIONAL TOLL PLAZAS CLASS 1 ALL LIGHT VEHICLES HEAVY VEHICLES CLASS 2 2 AXLES CLASS 3 3 AND 4 AXLES CLASS 4 5 OR MORE AXLES CLECLASS APPLIC[Source: aa.co.za/toll-tariffs] 1.2.1 Determine the cost of travelling by car, towing a caravan, at the Grasmere Main line tollgate. (2) 1.2.2 If the cost of travelling by motorbike was R74,50, write down which tollgate was used. (2) 1.2.3 Write down the tariff for the Vaal Plaza, class 2 rates, as a simplified ratio to the class 4 rates of the same plaza. (2) 1.2.4 Calculate the cost of a return trip for a class 4 vehicle going through the Verkeerdevlei tollgate. (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2023) 1.3 The graph given below shows the favourite movie genres of a group of 220 students. FAVOURITE MOVIE GENRES Science Fiction 6% Romance Action 24% 21% Thriller 11% Comedy Use the above information to answer the questions that follow. 1.3.1 Name the type of graph represented above. (2) 1.3.2 Calculate the percentage of students that prefer comedy. (2) 1.3.3 Determine the number of students that prefer romance movies. (2) [23] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P1 5 QUESTION 2 2.1 The graph given below shows South Africa’s CPI inflation rate for the period April 2022 to February 2023. South Africa CPI Inflation 9,0% 7,8% 7,6% 7,5% 7,6% 8,0% 7,4% 7,4% 7,2% 6,9% 7,0% 7,0% 6,5% 5,9% 6,0% 5,0% 4,0% 3,0% 2,0% 1,0% 0,0% [Source: tradingeconomics.com/statssa] Use the above information to answer the questions that follow. 2.1.1 In December 2022 the price of a loaf of bread was R12,47. Calculate the price of a loaf of bread in February 2023. (5) 2.1.2 Did the price of goods increase or decrease from July 2022 to September 2022? Explain your answer. (2) 2.2 The invoice given below is for the installation of a water tank. WATER TANKS 4 YOU Bill to: Mr T. Rock Invoice number: 123 765 987 1112 Flamingo Drive Invoice date: 22/04/2023 Description Unit Price Amount 1 x 5 000 ℓ Water tank R5 499,00 R5 499,00 3 x Filters R349,00 A 1 x Water pump R1 699,00 R1 699,00 Labour 7,5 hours x … R6 500,00 SUBTOTAL … 15% VAT … INVOICE TOTAL … *All payments due within 15 days of receipt of invoice. Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2023) Use the above information to answer the questions that follow. 2.2.1 Give the day and month this invoice must be paid. (2) 2.2.2 Determine the total cost (rounded to the nearest thousand) of the filters. (3) 2.2.3 Calculate the cost per hour for labour. (2) 2.2.4 Calculate the total amount due, including VAT, for the above invoice. (3) 2.2.5 The price of the water tank is due to increase in the next month. The new price is expected to be R5 795,00. Mr Rock says that this increase is more than 5%. Verify, showing ALL calculations, whether this statement is valid or not. You may use the formula: Difference in cost Percentage change = × 100% Original cost (4) 2.3 Given in the table below are the electricity tariffs for domestic households. BLOCKS ELECTRICITY RATE (c/kWh) Block 1 0–600 kWh 229,00 c/kWh Block 2 More than 600 kWh 278,46 c/kWh Use the above information to answer the questions that follow. Mr Rock and his family used a total of 712 kWh of electricity. Calculate the amount, in Rands, that he will pay for their electricity usage this month. (4) [25] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P1 7 QUESTION 3 TABLE 2 below lists the winnings, endorsements and total net worth of the nine highest paid athletes in 2022. All values in the table are given in millions. TABLE 2: TOP NINE HIGHEST PAID ATHLETES IN 2022 Name Winnings Endorsements Total Net Worth (in millions) (in millions) (in millions) Lionel Messi (soccer) $75 $55 $130 Le Bron James (basketball) $41,2 $80 $121,2 Cristiano Ronaldo (soccer) $60 $55 $115 Neymar (soccer) $70 $25 $95 Stephan Curry (soccer) $45,8 $47 $92,8 Kevin Durant (soccer) $42,1 $50 $92,1 Roger Federer (tennis) --- $90 ---- Canelo Alvarez (boxing) $85 $5 $90 Tom Brady (football) $31,9 $52 $83,9 TOTAL: B [Source: Wikipedia.org] Use the above information to answer the questions that follow. 3.1 Write the winnings of Stephan Curry in words. (2) 3.2 Determine the median value of the endorsements of the nine players. (3) 3.3 Calculate the value of B, the total net worth of the nine players, if the total net worth of Roger Federer is $30,5 million dollars less than that of Le Bron James. (4) 3.4 Calculate the mean winnings for 2022. (3) 3.5 Express the endorsement amount of Cristiano Ronaldo as a percentage of his total net worth. (2) 3.6 Write down the winnings of Neymar as a simplified ratio to the total net worth of Canelo Alvarez. (2) 3.7 Determine the probability as a decimal fraction (rounded to THREE decimal places), of randomly selecting a player from the table above that plays any sport except soccer. (3) [19] Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2023) QUESTION 4 4.1 The choir committee of a high school have started a small business to raise funds for their upcoming tour. They make and sell curry bunnies with assistance from their parents. They pay their parents R450 each month to cover costs for water and electricity. It costs them R10,00 to make one curry bunny. TABLE 3 below shows their income and expenses for one month. TABLE 3: CHOIR COMMITTEES MONTHLY INCOME AND EXPENSES Number of curry 0 10 20 50 100 150 200 bunnies Expenses 450 550 650 950 1 450 1 950 2 450 (in Rands) Income 0 250 500 1 250 2 500 3 750 5 000 (in Rands) Use the above information to answer the questions that follow. 4.1.1 Identify the dependent and independent variables in the above context. (2) 4.1.2 Determine the selling price of ONE curry bunny. (2) 4.1.3 Write down the formula they will use to determine their total expenses. (2) 4.1.4 The graph drawn on the ANSWER SHEET shows the total income. On the same set of axes, draw a graph showing the TOTAL EXPENSES for the number of curry bunnies made in one month. (3) 4.1.5 The choir committee claims that if they sell 200 curry bunnies every month for four months, they will make more than R10 000 profit. Verify, showing all calculations, whether their statement is valid or not. (4) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2023) MATHEMATICAL LITERACY P1 9 4.2 The frequency table below shows the number of motorists buying petrol on a specific day. Time Interval Frequency Cumulative Frequency 06:00–08:59 12 12 09:00–11:59 8 20 12:00–14:59 13 C D 17 50 18:00–20:59 23 73 21:00– 23:59 4 77 Use the above information to answer the questions that follow. 4.2.1 Determine the value of C. (2) 4.2.2 Give the time interval at D. (2) 4.2.3 Write down the modal time interval. (2) 4.2.4 Each motorist buys an average of 6,5ℓ of petrol on this day. If the price of petrol is R21,92 per litre, determine the total cost for the petrol bought on this day. (3) 4.2.5 What is the probability, as a fraction, of a motorist buying petrol before 12:00 on this day? (2) 4.3 Sethu wants to save money to buy her mother a gift for her 50th birthday, which is in four years’ time. She decides to look at two banks, both offering an interest rate of 8,5% p.a. She has R1 000 that she can save. The table below shows the amount that she will have saved at each bank annually. YEAR 1 YEAR 2 YEAR 3 YEAR 4 BANK A R1 085 R1 177,23 R1 277,29 --- BANK B R1 085 R1 170 R1 255 R1 340 Use the above information to answer the questions that follow. 4.3.1 Which bank represents simple interest? Give a reason for your answer. (2) 4.3.2 Sethu claims that if she invests at BANK A, she will have saved R45,86 more than she would at BANK B, after four years. Verify, showing all calculations, whether her statement is valid or not. (4) 4.3.3 Sethu would like to order her mother a clock from Switzerland. It costs 68,49 Euros. The exchange rate is 1 Euro = R19,83. If she decides to invest with Bank A, will she have saved enough after four years to afford the gift? (3) [33] TOTAL: 100 Copyright reserved Please turn over

Downloaded from hlayiso.com 10 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2023) ANSWER SHEET NAME OF LEARNER: …………………………………… GRADE: …… QUESTION 4.1.4 INCOME AND EXPENSE OF CURRY BUNNY SALES 5400 4950 INCOME 4500 4050 3600 Amount in Rands 3150 2700 2250 1800 1350 900 450 0 0 50 100 150 200 250 Number of curry bunnies Copyright reserved Please turn over