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1203960-26289000MATHEMATICAL LITERACYcenter2992846GRADE 11 2020 TERM 1 & 2 RECOVERY ACTIVITIES00GRADE 11 2020 TERM 1 & 2 RECOVERY ACTIVITIESCONTENT TOPICSTerm 1Term 2BASIC SKILLSNumber formats, Operations and calculator skills, Rounding, Ratios, Proportions, Rates, PercentagesRELATIONSHIPSDirect & Inverse proportion, relationships (tables, equations and graphs), MEASUREMENT (CONVERSIONS)Metric to Imperial, Solid to Liquid, Temperature MEASUREMENT (TIME)Time formats, Elapsed Time, Timetables, Trips PlanningFINANCIAL DOCUMENTSPay slips, Budgets, Quotations, Invoices, Receipts, Banking DocumentsTARIFF SYSTEMSMunicipal, Telephone, Transport and Bank fee tariffsINCOME & EXPENDITUREProfit and Loss, Cost and Selling Price, Fixed and Variable Costs, Break-even AnalysisINTEREST, BANKING & INFLATIONSimple and Compound InterestLoan agreements, Investments, Hire-Purchase and Impact of InflationMEASURING LENGTH, WEIGHT, VOLUME, TEMPERATURECalculation of distance, Time taken, Speed, BMI, Fuel Consumption RateSCALENumber and Bar Scales, Calculation of Actual Length, 2-dimensional plansMAPSStreet Map with Grid ReferenceNational and Provincial MapsStrip Charts showing distancesElevation MapsResidential or Housing Estate MapsArranged and packaged by Free State Mathematical Literacy Subject Advisors in April 2020MATHEMATICAL LITERACYEXAM TYPE QUESTIONS FOR GR 11TERM 1TOPIC: RelationshipsQUESTION 1393890538100Mr Mabula wants to take a short trip with his family. He considers the packages offered by CHEETAH TAXI SERVICES.PACKAGE A: Flat rate of R580,00 for unlimited kilometersPACKAGE B: Fixed cost of R200,00 plus R3,50 per kilometer travelled.The following table represent the information for PACKAGE A and PACKAGE B:No. of kms0101520BPACKAGE AR580R580R580R580R580PACKAGE BR200R235AR270R305Calculate the following values in the table:A(2)B(3)Write down the formula for calculating the cost of PACKAGE B in the form:Cost (in Rand) = .................(2)Katlego, Mr Mabula’s son argued that since they will trael a return trip of 110km, it is more cost effective to choose PACKAGE B. Is Kaglego correct? Justify your answer using calculations.(4)On the day of the trip, Mr Mabula was driving at an average speed of 70 km/h. Calculate the time they took for the entire trip. Write the answer in hours and minutes.You may use the formula: Distance = speed × time(4)What do we call the relationship for:PACKAGE A?(2)PACKAGE B?(2)The straight line graph for PACKAGE A is drawn on the graph below. On the same system of axes, draw a graph representing PACKAGE B.(4)Identify the dependent and independent variable in the graph shown above.(2)TOPIC: Measurement: Time, Conversions QUESTION 2Mary owns a coffee shop where she bakes and serves blueberry muffins. The recipe is given below; study it thoroughly to answer the questions based on it.Blueberry muffins:INGREDIENTS (Makes 10 standard muffins – 1 batch):1 ? cups of cake flour ? cups white sugar ? tsp. salt2 tsp. baking powder cup vegetable oil1 large egg cup milk1 ? tsp. vanilla essence1cup fresh blueberries The Muffins have to be baked at an oven temperature of 400 °F for 25 minutes. The preparation time for the muffins is 15 minutes.KEY: teaspoon = tsp. = 5 ml NOTE: One cup = 250 ml [source:]2.1Calculate in ml the vanilla essence needed for this recipe.(3)2.2Calculate in litres the milk needed for this recipe.(3)2.3How many eggs does Mary need to bake 30 muffins?(2)2.4Calculate the time (in hours) that will be needed to bake 20 standard blueberry muffins, if one batch is baked at a time. (3)2.5Convert 400 F (degrees Fahrenheit) to C (degrees Celsius) using the following formula: Temperature in C =°F - 32°1,8(3)2.635515551524000It takes Mary 25 minutes to bake the blueberry muffins. She took out the tray of muffins that was in the oven at the time shown on the watch. Determine the time that she put the tray into the oven.Ignore the thin third hand (showing seconds) and read the time using only the hour- and minute-hands.2.7What kind of clock is shown above?(2)2.8If Mary is baking the muffins during the morning, write the time on the clock in 24-hour format. Ignore the seconds.(2)TOPIC: Financial document, tariffs, income/expenditureQUESTION 3Nolwazi’s Income and Expenditure statement for the last five months of 2017 is given below. Study the statement and answer the questions that follow.ItemAUGSEPTOCTNOVDECCASH OUT (RAND)Catering equipment Hire5 0001 50002 300AElectricity and Water 1 7904754751 4751 809Purchase of meat2 50068007982 890Purchase of juice849,75339,900509,851 019,70Loan repayment850850850850850Wages for assistance2 00050001 5003 000Total cash out (X)B4 344,901 3257 432,8517 780,70CASH IN (RAND)Bank Loan20 0000000Functions06 8972 35011 80928 000Total Cash In (Y)20 0006 8972 35011 80928 000Difference between Y and XC2 552,101 0254 376,1510 219,30Balance carried over07 010,259 562,2510 587,35EFinal Balance (RAND)7 010,259 562,3510 587,35D25 182,803.1During which month did Nolwazi take out a bank loan?(2)3.2Calculate the amount, A, spent on catering equipment hire in December.(2)3.3Determine B, the total cash flowing out of the business for August.(2)3.4Calculate C, the difference between Y and X for August.(2)3.5Determine D, the final balance for November.(2)3.6Calculate E, the balance carried over for December.(2)QUESTION 4Cape Town experienced in 2018 severe water restrictions because of the ongoing drought in the area. Fortunately, due to good rains, in December 2018 the water restrictions could have be lowered from a level?5 to a level 3 status which includes increasing the daily usage from 70 litres per person per day to 105 litres per person per day; or from 500 million litres to 650?million litres of collective usage per day.The tariff system could also be lowered to a level 3 tariff system.Table 1: Water tariff system for the City of Cape TownResidential Water TariffsWater StepsVolume of Water usedLevel 3From 1/12/2018(Including VAT)Level 5Until 30/11/2018(Including VAT)Step 1 More than 0 k? and up to 6k?R15,73 (Free for indigent* households)R24,37 (Free for indigent* households)Step 2More than 6 k? and up to 10,5k?R22,28 (Free for indigent households)R39,59 (Free for indigent households)Step 3More than 10,5 k? and up to 35k?R31,77R60,25Step 4More than 35 k?R69,76R345,00(Source: )NOTE:*indigent household: poor/needy households4.1Give a possible reason why indigent househols will get some water for free.(2)4.2Calculate the percentage decrease in the Level 5 tariff to the level 3 tariff for step 4. Use the following formula:Level 5 tariff-level 3 tariffLevel 5 tariff×100%(4)4.3Give a possible reason for the very high level 5 tariffs in comparisson to the level 3 tariffs.(2)4.4The Smith family (that is not indigent) used 20?k? in March 2019. Mr. Smith calculated that the water will cost the household R496,46 for water in that month. Was Mr. Smith correct? Do calculations to verify your answer.4.5There are four members in the Smith family. What is the difference between the average daily usage of water for each member of the Smith family for the month of March 2019 and the daily usage of an average person in Cape Town?(6)(6)TERM 2TOPIC: Interest, banking, inflationQUESTION 5 Take note: inflation not for gr 11 in 2020Use graph 1 above to answer the questions that follow:5.1Write down the meaning of the term inflation.(2)5.2If the cost of a loaf of bread was R4,56 in 2007, calculate the cost of a loaf of bread in 2008.(3)5.3Determine the year when inflation was the HIGHEST.(2)5.4A house cost R1 650 000 in the beginning of 2006. 5.4.1Write the cost price of the house in words. (2)5.4.2If the price of the house increased at the same rate as inflation, calculate the price of the house at the end of 2007.(5)QUESTION 6Mr Mabula has a current account with ABC Bank. The bank charges a fixed monthly fee of R99,00 on a current account. For this the following transactions are included:6 cash withdrawals from own bank ATMWrite 10 cheques2 ATM balance statementFree Internet bankingFor all other services you pay transactional fees as follows:Withdrawal from own bank ATM: R4,90 + 1,30% of the amount withdrawnWithdrawal from teller: R30,00 + 1,50% of the amount withdrawn6.1Why does it cost more money to withdraw money going inside a bank, making use of a teller than when you make use of an ATM.(2)6.2Give any other advantage of using an ATM for withdrawals, besides that it is cheaper.(2)6.3During a month Mr. Mabula withdrew R2000 cash from his bank’s ATM eight times. The ninth time he goes into the bank to withdraw from the teller R3 950. He uses twice the ATM to get a balance statement. What will the total bank fees for Mr. Mabula be for the month, if these are the only transactions that Mr. Mabula does for the month.(9)QUESTION 7 Mr. Mofokeng wants to purchase a new lounge suite. He goes to a local furniture shop and the sales person shows him the lounge suite on the picture below.7620260985WAS R15?999NOW R14?999Hire - Purchase Options:Deposit: 15% of the new purchase price.R 759, 64 x 24 monthsTotal Cost = R_____@ 21,5% interest p.a00WAS R15?999NOW R14?999Hire - Purchase Options:Deposit: 15% of the new purchase price.R 759, 64 x 24 monthsTotal Cost = R_____@ 21,5% interest p.a7.1.1Calculate the amount of the discount.(2)7.1.2Calculate the percentage discount (rounded to one decimal place), using the following formula:Percentage discount = DiscountOriginal price × 100%(3)7.1.3Calculate the deposit on the lounge suite if the hire- purchase option is used.(2)7.1.4What will be the total cost if Mr Mofokeng purchased the lounge suite on the hire- purchase option? (3)7.1.5How much will be saved if the cash option is used rather than the hire- purchase option to buy the lounge suite?(2)7.2Mr Mofokeng does not have the cash and decided to go to Bank X to make a personal loan of R15?000.The Bank offers him 15% interest compounded annually.Calculate the total amount he will pay back to Bank X after 24 months.(4)TOPIC: MEASURING LENGTH, WEIGHT, VOLUME, TEMPQUESTION 88.1Jonathan is a 40-year-old male. He has been exercising very hard to compete in the Comrades Marathon and ensure that his Body Mass Index (BMI) is within the normal range for his age. Jonathan is 178 cm and weighs 82 kg. Determine whether his BMI is indeed normal for men.Table 2: BMI status per Mass range for MalesMASS RANGEBMI STATUS<18,5Underweight18,5 – 24,9Normal25 – 29,9Overweight30 – 34,9Obese35<Extremely ObeseYou may use the following formula:BMI = Weight in kg(height in m)28.2Jonathan is an athlete who will travel from Port Elizabeth to Durban to participate in the annual Comrades Marathon. Use the following strip map to answer the questions that follow:132397533020008.2.1Jonathan leaves Port Elizabeth at 06:00 and arrive at King William’s town 8:22 without making any stops. Calculate the average speed at which Jonathan travelled from Port Elizabeth to King William’s town.You may use the following formula: Speed = DistanceTime(5)8.2.2Jonathan leaves King William’s town at 09:12 on route to Umtata via the N2. How long did Jonathan’s stop in King William’s town?(2)8.2.3From Umtata Jonathan follows the N2 until he reaches a provincial road that takes him to Port St. Johns. From there he follows the provincial road until he reaches a national road at Port Shepstone. Name the provincial road that Jonathan will use as well as the national road between Port Shepstone and Durban.(4)8.2.4Calculate the distance from Port St. Johns to Durban.(4)8.2.5Jonathan is travelling with a car with an average petrol consumption rate of 12,5?km/??. The petrol price was R13,79 per liter for 95 octane petrol on the day of Jonathan’s journay. Jonathan calculate that the petrol will cost him R1 080,00 to travel from Port Elizabeth to Durban. Is Jonathan correct? Do calculations to verify your answer.(5)TOPIC: Scale and MapsQUESTION 9Study the national road map below and answer the questions that follow.32893072072500120015424180 N00 N9.1Explain what is meant by a national road.(2)9.2Name the national road that connects Cape Town to Durban and that goes through some coastal towns.(2)9.3In which general direction is Springbok from Richards Bay?(2)9.4Give the destination for the following directions:From Cape Town take the N7 north towards Springbok.Then head North east, the next town on this map is the endpoint.(2)QUESTION 10Use the map above to answer the questions that follow:10.1Write down the grid reference for Cape Town.(2)10.2In which general direction is Cape Town from Aliwal North?(2)10.3Determine the national road that they will use to travel from Aliwal North to Cape Town via Bloemfontein.(2)10.4What does the scale 1:10 000 000 mean?(2)10.5The distance between Cape Town and Aliwal North on the map is 110mm. Use the scale to determine the actual distance in kilometres.(4)QUESTION 11The map that follows is an elevation map of the Comrades marathon. For the Up-run runners start at Durban (at sea level) and run towards Pietermaritzburg.Study the map above and answer the questions that follows:11.1What is the heighest point of the Comrades Marathon and how far is it from Durban?(3)11.2Identify the 11:30 cut-off point and give the height of it above sea level.(3)11.3Just before the end there are two sharp inclines for the runners. Little Polys is the first. What is the name of the second?(2)END!! ................
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