Mathematical Literacy Grade 11 April Test 2021 Paper & Memo

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Downloaded from hlayiso.com NSC- Grade 11 INSTRUCTIONS AND INFORMATION iE This question paper consists of FOUR questions. Answer ALL the questions. 2. 21 Use ANNEXURE A to answer QUESTION 3.1. 2.2. Answer QUESTION 4.1.4 on the attached ANSWER SHEET. 2.3. Write your surname and name in the spaces provided on the ANSWER SHEET. Hand in the ANSWER SHEET with your ANSWER BOOK. <p 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 the calculation clearly. 7. Round off ALL the final answers appropriately according to the given context, unless stated otherwise. 8. Indicate units of measurements, where applicable. 9. Maps and diagrams are NOT necessary drawn to scale, unless stated otherwise. 10. Write neatly and legibly. Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy ril 2021 Common Test NSC- Grade 11 QUESTION 1 Ll Dean’s Athletics Club printed T-Shirts to raise awareness and prevent the spread of COVID-19. The picture below is a scaled drawing of a T-Shirt for Deans Athletics Club. Front of T-shirt Back of T-shirt SOCIAL DISTANCING REMEMBER! KEEP j 6 FEETAWAY ( Scale 1:20 Source:http//www.google.com/pictures Study the diagram above and answer the questions that follow. 1.1.1 Write down the time shown on the T-Shirt using the 24-hour format if it represents the time in the afternoon. (2) 1.1.2 Calculate the number of letters needed to print the logo on the back of the T-Shirt. (2) 1.1.3. Explain the meaning of the scale in the above drawing. (2) 1.1.4 Convert 6 feet to metres. NOTE: 1 foot = 0.3048m. (2) 1.2. Stencil Crafts paint T-Shirts at a cost of R3.50 per letter and per digit with a spread rate of 2.4m £ of paint per THREE letters. 1.2.1 Determine the cost of painting 15 letters. (2) 1.2.2. Calculate how many millilitres of paint is required to print 800 letters. (2) Copyright Reserved Please Turn Over

Mathematical Literacy Downloaded from hlayiso.com April 2021 Common Test 13 omitted. The century city athletic club is hosting a Virtual Run or Walk due to the COVID-19 Pandemic. Table 1 below shows the summary of the events. Some information has been TABLE 1: CENTURY CITY ATHLETIC ROAD RUNNING/WALKING EVENT Event Event A Event B Date 27-28 February 2021 27 -28 February 2021 Race Distance 15km Road run 5. 000m run/walk Time | 06:00 start — 23:00 cut-off | 06:00 start — 23:00 cut-off Minimum age entry 14 years 9 years Race fee R229 R129,60 NOTE: e virtual race — athletes run at any location at their own pace/start, with their friends/ group and upload the results using track running apps Study the table and the information above and answer the questions that follow. 1.3.1 Identify the event that caters for both running and walking. (2) 1.3.2 How many hours is the virtual run or walk? (2) 1.3.3. Determine the difference between the race fees for Event A and B. (2) 1.3.4 State the number of days the athlete is allowed to submit their results. (2) [20] Copyright Reserved Please Turn Over

Mathematical Literacy QUESTION 2 2.1 Downloaded from hlayiso.com NSC- Grade 11 April 2021 Common Test Study the Payslip for Mr Rajesh Gowda below and answer the questions that follow. MONTHLY PAYSLIP FOR RAJESH GOWDA ELS Electronics and security 17 Doom Street Grants town 5287 Tel: 030 598 157 cell:077 815 1025 Fax/mail: elselectronics@security.co.za Payslip for January 2021 Employee Name: Rajesh Gowda Paid Days: 30 Gender: Male Leave 00 Occupation: Installer Payslip NO. 48 Earnings Amount Deductions Amount Basic R10 000 | Salary advance R1 000 Overtime hours 50 PAYE R1 290 Overtime Rate R75 UIF : 1%of Total Earnings R137.50 Overtime Payment R3 750 | Other deductions - Total payment R13 750 Total deductions A Net pay R11 322.50 2.1.1 What is the difference between an employer and employee? (4) 2.1.2 Calculate the value of A, total deductions. (2) 2.1.3 Show by calculations how the overtime payment amount of R3 750 was calculated. (2) 2.1.4 Define the term “net pay” according to the given context. (2) 2.1.5 Calculate the PAYE amount as a percentage of the total payment amount. Round off your answer to the nearest percentage. (4) 2.1.6 State ONE benefit of contributing towards UIF. (2) Copyright Reserved Please Turn Over

Mathematical Literacy Downloaded from hlayiso.com April 2021 Common Test 2.2 Mbali and Rajesh owns a small bakery. Mbali bakes circular birthday cakes. She uses the recipe below. Recipe: 23cm round carrot cake | Serving 8 Preparation:25 min | cooking : {hour 30 min Pre heat oven to 170°C Ingredients 340g flour 200ml sunflower oil 10ml cinnamon 225g brown sugar 5ml sugar 125ml golden syrup 2,5ml nutmeg 500g carrot grated f F 5ml Bicarbonate 60g pecan nuts ‘ ‘ 10ml baking powder | 100g icing butter and Source:https://www.food24.com 5m salts 125g cream cheese 4 eggs 500ml icing sugar 5ml lemon juice Study the recipe and the information above and answer the questions that follow. 2.2.1 Convert the total mass of flour, brown sugar and carrot to kilograms (kg). (3) 2.2.2 Write down the simplified ratio of golden syrup to lemon juice. (2) 2.2.3 Mbali shares the recipe with her sister who lives in Australia. Her sister uses the oven that only has degree Fahrenheit readings. Convert 170°C to degree Fahrenheit You may use the following formula : °F = °C x 1,8 +32° (3) 2.2.4 Mbali starts preparing to bake at 09:10. At what time will the cake be ready for serving? (3) 2.2.5 Mbali used FIVE dozen eggs. Determine the maximum number of cakes she baked. (4) 2.2.6 The cost price of ONE cake is R450. To determine the selling price Mbali and Rajesh increases the cost price by 45%. Determine the profit made from selling FIVE cakes. (3) [33] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com Mathematical Literacy April 2021 Common Test NSC- Grade 11 QUESTION 3 ail John lives in Brakpan and works at Braamfontein from Monday to Friday. John travels from Brakpan to work using N17, N12 route via Turffontein in the morning and afternoon. The Maps on ANNEXURE A show part of Gauteng and John’s route to work Use ANNEXURE A in the addendum to answer the questions that follow. 3.1.1 Refer to FIGURE 1. Determine the number of national roads shown on the map. (2) 3.1.2 Give the general direction of Soweto from the airport. (2) 3.1.3 Use the bar scale on the map to determine the actual distance in kilometres from Soweto to Midrand. (4) 3.1.4 Give TWO possible reasons why John choose to travel on the national roads. (4) 3.1.5 Refer to FIGURE 2. Calculate John’s average speed in kilometres per hour (km/h), if he uses the longest route to work via Bedfordview. You may use the formula: Speed = Distance Time (3) Copyright Reserved Please Turn Over

om April 202 Downloaded from hlayiso.c Mathematical Literacy 322 1 Common Test Below is the Avo cinema seating layout during covid-19 alert level 1. Avo Cinema Seating layout SCREEN: ez] [a a | a [a : LT BEGG GG BEGG GGG LTT BEGG |; SEE | C i 5-GUEST MAX. PER GROUP 2-SEAT GAPS ALTERNATING AISLES MM: empty sEAt FB : OCCUPIED SEAT NOTE: Cinema can ONLY take a maximum of 25% venue capacity and 5- guest max. per group Use the layout and the information to answer the questions that follow. 3.2.1 Determine the total number of seats in the cinema. (2) 3.2.2 Verify showing calculations that the seats occupied are 25% of the venue capacity. (4) 3.2.3 Determine the maximum number of 5-guest group that can be occupied in the front block of the cinema. (2) 3.2.4 Calculate the total amount the cinema will receive from the occupied seats, if one movie ticket costs R88,50 (2) [25] Copyright Reserved Please Turn Over

Downloaded from hlayiso.com NSC- Grade 11 Mathematical Literacy QUESTION 4 4.1 April 2021 Common Test and he sells them for R250 each. He pays R1500 per month for rent. Picture of a stand in use Diagram of a Stand Source: http//www.facebook.com/images. NOTE: e Stand is a multi-purpose holder for household items Table 2: Total Income and Total Expenses No. of Stands 0| 10 20 30 40 He c 90 100 Total income(R) 0 | 2500 | 5000 |_ B 10000 | ... | 15000 | 22500 | 25000 Total expenses(R) | A | 3500 | 5500 | 7500 | 9500 | ... | 13500 | 19500 | 21500 Total expenses = R1 500 + R200 X number of Stands sold Mr Ndlovu makes custom furniture from plywood. The material costs R200 to make ONE complete stand Use the information above to answer the questions that follow. 4.1.1 Write down the formula Mr Ndlovu will use to calculate his total income. Income =...X... 4.1.2 Calculate the missing values A, B and C 4.1.3. Explain the meaning of the term break even according to the given context. 4.1.4 The graph drawn on the ANSWER SHEET shows the total expenses. On the same set of axes, draw the graph showing the total income for the number of stands sold. 4.1.5 What type of relationship is represented by the graphs in 4.1.4? Give a reason for your answer. 4.2 The measured length on the picture of the Stand is 30mm. 4.2.1 Determine the scale used to draw the diagram of the stand, if the actual length is 86cm. Round off your answer to the nearest 10 units. TOTAL: (2) (6) (2) (5) (3) (4) [22] [100] Copyright Reserved Please Turn Over

— Downloaded from hlayiso.com ) KWAZULU-NATAL PROVINCE EDUCATION SS REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE | GRADE 11 " MATHEMATICAL LITERACY ‘s COMMON TEST . t ADDENDUM . " APRIL 2021 This addendum consists of 2 pages with 1 annexure. Copy Right Reserved Please Turn Over

Downloaded from hlayiso. com Grade 11 - Addendum ANNEXURE A Question 3.1 FIGURE 1 North Riding @ edb igo RANDBURG SANDTONG i Sandharst # ¥ a_i ay yo LODRADS PARK { \Yostoorus ‘ Katlehong Copy Right Reserved

Downloaded from hlayiso.com Mathematical Literacy April 2021 Common Test NSC- Grade 11 ANSWER SHEET QUESTION 4.1.4 NAME AND SURNAME: GRADE 11: Table 2: Showing total income and total expenses No. of Stands 0 10 20 30 40 a Cc 90 100 Total income(R) 0 | 2500 | 5000 B 10000 | ... | 15000 | 22500 | 25000 Total expenses(R) A _; 3500 | 5500 | 7500 | 9500 | ... | 13500 | 19500 | 21500 Mr Ndlovu's total income and expenses for stands sold 25000 20000 : Amount in Rands 2 Copyright Reserved

MLET GEIl 4 10 KWAZULU-NATAL PROVINCE CATION. REPUBLIC OF SOUTH AFRICA NATIONAL SENIOR CERTIFICATE GRADE 11 gee RS SESS SCENES EEE REEESSEE ESS i. a” ° : MATHEMATICAL LITERACY : o . 2 COMMON TEST . 1 " ” : APRIL 2021 : ” « és MARKING GUIDELINE : * o Someennnenenes seenenenes seenene? MARKS: 100 SYMBOL EXPLANATION M Method MA Method with accuracy CA Consistent accuracy A ‘Accuracy(Answer) Cc Conversion $s Simplification RT/RG/RD __| Reading from a table/ graph/ diagram NPR No penalty for units/rounding SF Correct substitution in a formula fe) Opinion/ reason/deduction/example J Justification R Rounding offf F deriving a formula E Explanation U Units AO Answer only full marks This marking guidelines consists of 6 pages. Please Turn Over Mathematical Literacy 2 NSC ~ Marking Guideline ‘Downloaded from hlayiso.com April 2021 Common Test QUESTION 1 [20 MARKS] QUE [SOLUTION EXPLANATION LT Ui LD | 13:50VYA 2A. Correct time & format M (2) T12 | 36Y%A 2A. Number of letters Ut (2)| MP 1.1.3. | One unit on the diagram of the t-shirt represent twenty Li units in reality “VE 2E. Explanation MP : @ 1.1.4 | 6feets = 6 * 0.3048m YM TM. Multiplying by 0.3048 LI 8288m ba 83m CA ICA. Answer AO__NPR @) 124 YMA IMA. Multiplying by R3.50 LI Cost = R3.50 15 F = R52.50YCA ICA, Answer AO (2) 1.2.2 | Paint required = 800 -2.4m f ¥M 1M. Multiplying by 2.4m f 7 @) =6doml YA 1A. Answer Q) 13.1 | EventB YVA 2A. Answer Lt (2) |M 1.3.2, | 23:00 - 6:00” MA IMA.. Subtracting time ut 17hours” A 1A. Correct No. of hours M AO @) 1.3.3_| Difference cost = R229 — R129.60 YM 1M, Subtracting correct values Lt =R99.40 VA 1A. Answer F | AO @) 13.4 | 2 days ¥VA 2A. Number of days ul (2) |M [20] Copyright Reserved Please Turn Over

Mathematical Literacy 3 NSC - Marking Guideline Mathematical Literacy ‘Downloaded from hlayiso.com April 2021 Common Test 4 NSC ~ Marking Guideline April 2021 Common Test ‘QUE | QUESTION 2 [33 MARKS] EXPLANATION Lt QUESTION 3[26 MARKS] QUE [SOLUTION EXPLANATION LT Employer is the persons who hires/gives other 2E.Explanation ‘a 3.1.1 | 5 National roads “A 2A. Answer 12 2.1.1 | peoples job to do VE 2E.Explanation F (2) | MP. Employee is a person/institution that has been hired 3.1.2 | South West (SW) “WA 2A. Correct General Direction a to do a particular jobV VE (4) (2) | MP 313 a 13 IM, Adding all correct values L2 1A. Correct bar scale length MP 212 |A= v : bl i oe | te = ee is a ed ICA. Answer F Distance = 20km-10.6cm”A 1A. Measured length - AO (2) ede) IMA.Concept of scale noe LB fem ce ICA. Actual distance 21.3 | R3750=R75 x50 hours “WA eee le NPR (4) 3.14 To avoid traffick/not to be tale at workY¥ YR 2R. Reason L4 Net pay is the salary after deductions WWE 2E. Explanation Li * To avoid to many road worksY¥ YR 2R. Reason MP 214 P y OR F To drive fast on the road without consistent Net pay is gross salary less deductions “VE Q) stops” ”R oo) YMA ¢ To travel at a constant speedY VR PAYE(%s) = RL290 IMA. Dividing correct values 3.1.5 | Ave. Speed = 57.7km “SF 1SF.Correct substitution L3 > - 100% YM 1M. Percentage concept 2 1.01666..hrs“”C_ 1C. Converting time to hours M 215 RI3 750 0.3818 VCA ICA, Answer F = 56.7540., a oMR IR, Rounding 6.8km/hV CA ICA, Answer @) (4) 3.2.1 | No.of seats =48+8 +42 L2 _ oo =98VYA 2A. Total Number of seats MP It gives short term relief to workers when they He AO Q) 2 2-18 | vecome unemployed O ae a@lF CA From 3.2.1 4 ~ Venue capacity = 24, 1A. correct numerator MP a5 1M. Adding correct values Th} 98” ow yma IMA. Percentage concept Total mass = 340g + 225g + 5002”M 1C, Dividing by 1000 M = 24.489% CA ICA. Answer 1000 vC Rounded to the nearest 5% YR IR, Reason = 1,065kgYCA ICA. Answer (4) @) 3.2.3 [4 groups VA A. Answer ta 22.211 25ml : Sml YM 1M. Correct ratio order 12 (2) | MP. EAN 1A. Simplified ratio M 3.24 | Total costs = 24 = R88.50“M CA from 3.2.2 12 : (2) =R2124VCA 1M. Multiplying by R88.50 F ee TSF. Correct substitution into formula | L2 ICA, Answer = 306432 VS 1S, Simplification M (2) ee 1A. Answer a [25] 224] eo ; : : 2M. Adding times 12 = a v 'S a ela ICA. Finishing Time of the day M 2 AO Q 225 _ IMA. 5 Dozens multiplied by 12 14 . = 21 iplied by DCL ihe ICA. Number of gs v4 Coe ree or 1M. Dividing by 4 ea ICA. Number of cakes (4) Profit= 45 « R450 TMA Percentage concept 12 100 “MA 1M. Multiplying by 5 F = R202,50%5 cakes”M ICA. Correct Profit =RI012.12 CA QB) [33] ‘Copyright Reserved Please Tum Over Copyright Reserved Please Tum Over

Mathervatical Literacy Downloaded from hlayiso.com NSC - Marking Guideline April 202! Common Test ‘Mathematica! Literacy 6 NSC ~ Marking Guideline April 2021 Common Test Copynght Reserved QUESTION 4[22 MARKS] [QUE | SOLUTION EXPLANATION TL - 7) 4.1.7 | Income = R250 + number of standsY “A 2A. Correct equation iF) 4.2.1 | 30mm : 860mm”C IC. Conversion iF 30mm 30mm”MA IMA. Dividing by 30mm both sides MP 41.2 [A=RUSOOYYA 2A. Answer 13 1: 28.6666YCA, ICA. Answer IMA. Multiplying by R250 F 1:30YR IR, Rounding, a B=R250 30YMA 1A. Answer 71 =R7S500%A [21] | TOTAL: _ [100] 15.000 R250 YMA. IMA. Dividing by R250 =60VA TA. Answer AO (©) 4,13, | Breake even point is the point at which the income is 2E, Explanation tt equal to the expenses¥ VE F MrNdlovu will make no profit or loss/ his income is exactly as the expenses. WWE fe) F Mr Ndlovu's total income and expenses for stands sold 25000, 1 | tA starting point 2A. Any two a correct points + | ACA, Straight line 1A, Labelling x- axis q 15000 & A | 10000 a i 5000 ° t o 20 oO oo ca) 100 Number of stands (3) 4.1.5 | Direct proportion’ “A 2A. Type of L4 As the number of stands increase the income also increase~R proportion . 1R_ Justification Q) Please Turn Over Copyright Reserved