Mathematical Literacy Grade 10 NSC Prelim 2019 Paper & Memo

education Department: Education PROVINCE OF KWAZULU-NATAL NATIONAL SENIOR CERTIFICATE GRADE 10 a MATHEMATICAL LITERACY " " COMMON TEST a" 5 SEPTEMBER 2019 a MARKS: 75 TIME: 1'4 Hours This question paper consists of 7 pages and an addendum with 4 annexures (5 pages).

Mathematical Literacy 2 Common Test September 2019 NSC- Grade 10 INSTRUCTIONS AND INFORMATION iE This question paper consists of FOUR questions. Answer ALL the questions. 2. Use the ANNEXURES in the ADDENDUM to answer the following questions. e ANNEXURE A for QUESTION 2.1 e ANNEXURE B for QUESTION 2.3 e ANNEXURE C for QUESTION 3.1} e ANNEXURE D for QUESTION 4.1 3. 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 calculations clearly, TE Round off ALL the final answers to TWO decimal places, unless stated otherwise. 8. Indicate units of measurements, where applicable. 9. Maps and diagrams are NOT necessarily drawn to scale. unless stated otherwise. 10. Write neatly and legibly. Copyright Reserved Please Turn Over

Mathematical Literacy QUESTION 1 3 NSC- Grade 10 Common Test September 2019 1.1 | Mzwandile’s grandmother buys sliced bread to make sandwiches and sell them at school. Below is the table showing some ingredients she uses to make sandwiches. Some values have been omitted. 1 Ingredient Standard sandwich | Polony (2.5 kg) Margarine spread loaf (20 slices) (500g) 12] Price without VAT R9,93 R43,43 B VAT @ 15% A R6,52 ee |__ Price with VAT Rocss R49,95 R23,99 Source:http//pricecheck.com Use the information and TABLE 1 above to answer the following questions. L.A Convert 500g of margarine spread mass to kilograms. (2) (haste? Determine the value of A. (2) LL3 Determine the value of B. (2) 1.1.4 Mzwandile’s grandmother intends to spend R575 on loaves of bread per month, calculate how many loaves she will get if ONE loaf costs R11,50. (2) 15 If ONE loaf of bread makes FIVE sandwiches, determine the number of sandwiches to be made from ONE dozen loaves of bread. (2) 1.1.6 The bread delivery truck is 9 metres long in reality and 1,5 centimetres as a model. Complete the following statement, write ONLY the answer. 1,5 centimetres on the model of the truck will represent ©... centimetres in reality. (2) ees Mzwandile’s grandmother purchased 15 loaves of bread altogether. If her order was 40% brown loaves, determine the number of brown loaves she actually bought. (2) [14] Copyright Reserved Please Turn Over

Mathematical Literacy 4 Common Test September 2019 NSC- Grade 10 QUESTION 2 2.1 | Study the graph in ANNEXURE A in the addendum, showing the athletic events starting — Copyright Reserved times for the Capricorn districts competition and answer the following questions. 2.1.1 Write down the time at which the athletic events started? 2.1.2 Determine the time at which the closing ceremony will start? 213 Determine which age group will be on the field at 11:00 in morning? Each school must register at least ONE coach (representative educator) and EIGHT athletes during these games. Determine the number of schools that participated in the events if there were 63 people registered in the events. (2) (2) (2) (3) Study the square Greco-Roman wrestling mat in ANNEXURE B in the addendum and answer the following questions. 29. | Calculate the area of the wrestling mat in square metres (m’). You may use the formula: Area of square = side x side 232 Determine the radius of the central wrestling area. 2.3.3 Hence, calculate the area of the central wrestling area. You may use the formula : Area of circle = 7 x radius” use 7 = 3,142 (2) (2) (2) {15] Please Turn Over

Mathematical Literacy 5. Common Test September 2019 QUESTION 3 NSC- Grade 10 3.1 | Mr Welden works as a librarian, his wife works as a petrol attendant and they also own the tuck shop. ANNEXURE C in the addendum shows his monthly family budget. Study Mr Welden’s monthly family budget in ANNEXURE C and answer the following questions. Sell Show by calculation how the total income has been calculated. (2) Salee Explain the term Fixed expense. (2) 3:1.3 Give ONE possible reason why it is important that Mr Welden has savings every month, (2) 3.1.4 Which expense do you think Mr Welden should consider reducing from the budget? Explain your choice. (3) Silt. Explain with a VALID reason, why school fees would be regarded as a high priority expense to Mr Welden’s budget. (2) 3.2. Mr Welden’s car consumes 7,6 litres per 100 km of fuel. Calculate how far his car will travel on 45 litres of fuel. (2) Copyright Reserved Please Turn Over

Mathematical Literacy 6 Common Test September 2019 3.3 Copyright Reserved NSC- Grade 10 tant, Mbuso intends to purchase a new Defy stove and Defy Microwave for his Mr Welden’s a: wife. APPLIANCES ADVERTISEMENT DEFY 500mm compact 4-plate DEFY Microwave stove Wi. Save R300 c 16 900 ' 25 990 uCount rewards uCount rewards Promotion from 02 - 10 June 2019, Delivery within 5 working days Source: www.makro.co.za/appliances Study the advertisement above and answer the questions that follow. oa | Calculate the total amount Mbuso will pay for both items, if he makes the purchase on the 5" of June 2019. (2) a2 Show by calculations that R1 = 10 wCount reward points. (2) Pays) Mbuso does NOT have sufficient money to purchase both items, he decides to borrow R3 000 from his bank to add onto what he has saved before the promotion. a) — Calculate how much money Mbuso saved before the promotion? (2) b) Calculate how much money Mbuso will pay back on a loan of R3 000 over the period of 2 years if simple interest is charged at an interest rate of 12% p.a. (4) c) Mbuso’s monthly loan repayment to the bank is a little more than RISO per month and he decided a month later to increase his monthly repayment to R200 per month Give ONE advantage of increasing the monthly repayment on the total cost of the loan. (2) [25] Please Turn Over

Mathematical Literacy 7 Common Test September 2019 NSC- Grade 10 QUESTION 4 4.1 | Mark would like to build a house for his family. He draws a scaled diagram for the house he intends to build. Use the floor plan in ANNEXURE D in the addendum to answer the following questions. 4.1.1 How many windows does the Mark’s house have? 4.1.2 Determine the value of W, the width of the toilet. 4.1.3 Write down the number of people that can be seated on the couches in the living room. 4.1.4 Show by calculations that the perimeter of the house is 46m. You may use the formula: Perimeter of rectangle = 2 x length + 2 x width 4.1.5 Describe the position of the bedroom with a door that swings towards the left from outside of the door, in relation to the house. 4.2 Mark’s son Andrew works as a packer, he operates the machine that wraps stacked boxes. Note: The machine takes 4 minutes to wrap, 24 boxes Source: http://m.indiamart.com 4.2.1 Andrew needs to wrap 480 boxes using the machine, determine the time he will have finished wrapping ALL boxes if he starts at 08:15. 4.2.2 If ONE box contains 30 deflated soccer balls, calculate the number of soccer balls packed in ALL 24 boxes. 4.2.3 Andrew packs ONE load of 24 boxes in a stack of FOUR equal layers. Give a possible arrangement of EACH stack he uses to pack one load of 24 boxes. . 4.2.4 Explain why boxes are wrapped with the plastic wrap before they are loaded. TOTAL: Copyright Reserved (2) (2) (2) (3) (2) (4) (2) “@ (2) [21] 75

GRADE 10 This addendum consists of 5 pages with 4 annexures. ] | education | Department: | Education PROVINCE OF KWAZULU-NATAL 1| l | | \] Si asa ieaes cela mg a aman aia | n MATHEMATICAL LITERACY u ‘ ADDENDUM : a SEPTEMBER 2019 il 1] a | NATIONAL SENIOR CERTIFICATE

Mathematical Literacy Z Common Test Septeniber 2019 NSC - Addendum ANNEXURE A Question 2.1 GRAPH SHOWING EVENTS STARTING TIMES I pm 12 pm - =D ( Il am ———_—_9 __—_ 10 am 7 9am — ———-=@ 8 1 > aa Time 7 9 11 13 15 17 Ages of participants in years Note: oo Included ——_—_-¢ Not included @-----@ Closing ceremony Copyright Reserved Please Turn Over

Mathematical Literacy 3 Common Test September 2019 NSC - Addendum ANNEXURE B Question 2.3 SQUARE GRECO-ROMAN WRESTLING MAT 1 ‘ 1 i 1 1 J 1 if ‘ Source:http//images.app-goo-gl/Olympics/wrestling/mats Note: «Wrestling is a sport in which a contender attempts to defeat an opponent without the use of striking Copyright Reserved Please Turn Over

Mathematical Literacy 4 Common Test September 2019 NSC - Addendum ANNEXURE C Question 3.1 MR WELDEN’S FAMILY MONTHLY BUDGET Income Amounts Expenses Amounts ~ Fixed income "|| Fixed expenses wir Welden's lary YRS 600 ronan RI000 7 Mrs Welden’s salary +r aoa Car repayment RI 500 Tuck shop profit . R2 200 School fees. R 400 Car insurance R 380 a Medical bills ~~ PRT 200 “| [Insurance policy R 660 a Save R150 — Television subscription R 399 Variable Expenses | | Food ( groceries) “FR2300... | | Municipality bill R470 | House maintenance R 140 a Petrol R 650 | | Celiphone contracts R 780 Clothing account i R 300 Bank charges SY Rio Entertainment ~~ [R800 Other bills. TR O00 | Total Income R 12 600 | Total Expenses R 12 439 Total left over TR 161 i i Copyright Reserved Please Turn Over

Mathematical Literacy 5 NSC - Addendum Common Test September 2019 ANNEXURE D } Question 4.1 | MARK’S HOUSE PLAN i¢ 121m > ] 6.1m > Ww 2.3m rie 3m rs] SS =p == * Bedroom Back 24m Entrance Wardrobe Wardrobe ined Soman a | | | 6.1m Living Room Bedroom a me , id Bar Front Door Be 24m Kitchen Source: hittpjs9.com/shipping-container-home-floor-plans Keys: ————SSSSD Window SO Sliding door } Door swing | Copyright Reserved

MATHEMATICAL LITERACY COMMON TEST SEPTEMBER 2019 MARKING GUIDELINE NATIONAL SENIOR CERTIFICATE GRADE 10 MARKS: 75 SYMBOL EXPLANATION M Method MA Method with accuracy CA Consistent accuracy A Accuracy(Answer) C Conversion S Simplification RT/RG/RD Reading from a table/ graph/ diagram NPR No penalty for units/rounding SF Correct substitution in a formula O Opinion/ reason/deduction/example J Justification R Rounding off/ F deriving a formula E Explanation U Units AO Answer only full marks This marking guideline consists of 6 pages. Copyright Reserved Please Turn Over

Mathematical Literacy 2 Common Test September 2019 NSC – Marking Guideline QUESTION 1 [14 marks] Que Solution Explanation T/L M 500𝑔 1C,Dividing by 1000 L1 1.1.1 Weight in kg = 1000 C 1A, Answer = 0,5 A AO (2) MA F 15 1MA, Multiplying by 15% L1 A = 100 × 𝑅9,93 1.1.2 1A, Answer = R1,4895 ≈ 𝑅1,49 A AO NPR (2) MA F 1.1.3 B = R23,99 – R3,13 1MA, Subtraction L1 = R20,89A 1A, Answer OR OR 100 MA 100 B = 115 × 𝑅23,99 1MA, Multiplying by 115 = R20,86A 1A, Answer AO (2) F 𝑅575 1MA, Dividing by R11,50 L1 No. of loaves = 𝑅11,50 MA 1.1.4 1CA, Number of loaves = 50 CA AO (2) MA B Number of sandwiches = 12 × 5 1MA, Multiplying by 12 L1 1.1.5 = 60 A 1A, Number of sandwiches AO (2) MP 9 00 A 2A, Concept of scale and conversion L1 1.1.6 (2) B 1.1.7 Number of brown bread = 40 1M, Percentage concept L1 × 15 M 100 1A, Answer = 6 A OR OR 1M, Multiply by 0,4 Number of breads = 0,4 × 15 M 1A, Answer. = 6 A AO (2) [14] Copyright Reserved Please Turn Over

Mathematical Literacy 3 Common Test September 2019 NSC – Marking Guideline QUESTION 2 [15 marks] Que Solution Explanation T/L M 2.1.1 8:00 amRT 2RT, Reading from the graph L1 OR 08:00 RT Accept 8 am OR Eight in the morning (2) M Time = 12:00 + 24min + 6min RT 2RT, Reading from the graph L2 2.1.2 = 12:30pm RT AO (2) B 2.1.3 13 yearsRT 2RT, Reading from the graph L2 Accept 14 years (2) B 2.2 Number of people per school = 8 + 1 = 9 MA 1MA, Adding number of people L2 63 1M, Dividing total Number of schools = 9 M 1CA, Number of schools = 7 CA (3) M 2.3.1 Area = 12𝑚 × 12𝑚 SF 1SF, Substituting correct values L2 = 144𝑚2 A 1A, Answer AO (2) M 7𝑚 1M, Dividing diameter by 2 L1 2.3.2 Radius = 2 M 1A, Answer = 3,5m A AO (2) CA from 2.3.2 M Area = 3.142 × 3,5𝑚 × 3,5𝑚SF 1SF, Substituting radius L2 2.3.3 = 38,4895 𝑚2 CA 1CA, Answer NPR (2) [15] Copyright Reserved Please Turn Over

Mathematical Literacy 4 Common Test September 2019 NSC – Marking Guideline QUESTION 3 [25 marks] Que Solution Explanation T/L MA MA F Income = R5 600 + R4 800 + R2 200 1MA, Adding two correct values L2 3.1.1 = R12 600 1MA, Adding the third correct value (2) F Expenses that remains the same for longer 2E, Explanation L1 period. E 3.1.2 OR Expenses that are not variable. E OR (2) Expenses that have constant amounts. E F He could be saving for future expenses. R 2R, Reason L4 3.1.3 OR He could be saving for unforeseen (2) circumstances. R RT F Entertainment, because he also pays a television 1RT, Mentioning the correct expense L4 subscription / Not a necessity / Wasteful expenditure.O 2O, Opinion RT OR Food, too much money has been budget. O 3.1.4 RT OR Petrol, alternative means of transport can be used (clubbing). O RT OR Clothing account, cash purchase / lay-bye can be used. O (3) F Because education is a basic need. O 2O, Opinion L4 3.1.5 OR Because education is important. O (2) B 45 1M, Using rate L2 3.2 Distance = 7,6 × 100M 1A, Answer = 592,1km A NPR (2) Copyright Reserved Please Turn Over

Mathematical Literacy 5 Common Test September 2019 NSC – Marking Guideline Que Solution Explanation T/L F Total = R2 599 + R1 690MA 1MA, Adding both cash price L1 3.3.1 = R4 289 A 1A, Answer AO (2) B 3.3.2 25990 1M, Dividing L2 No of points/R1 = M 𝑅2599 = 10 A 1A, Answer OR OR R2 599 : 25 990 M 1M, Ratio Concept R1 : 10 uCount points S 1S, Simplification OR OR 16 900 No of points/R1 = M 𝑅1 690 1M, Dividing = 10 A 1A, Answer OR OR R1 690 : 16 900 M 1M, Ratio Concept R1 : 10 uCount rewards S 1S, Simplification (2) CA from 3.3.1 F Saved amount = R4 289 – R3 000 M 1M, Subtraction L2 3.3.3.a) MCA = R1 289 CA 1CA. Answer (2) M F 12 1M, % concept L3 First year interest = 100 × 𝑅3 000 =R360 3.3.3.b) 1CA, 1st year balance First year balance = R 3 360 CA 1M, Adding interests Second year balance = R 3 360 + R360 M 1A, Final amount = R3720A (4) He can finish his loan amount F sooner/quicker. O 2O, Opinion L4 3.3.3.c) OR He can reduce the interest amount added on his loan. O (2) [25] Copyright Reserved Please Turn Over

Mathematical Literacy 6 Common Test September 2019 NSC – Marking Guideline QUESTION 4[21 marks] Que Solution Explanation T/L MP 4.1.1 9 windows RT 2RT, Reading from a plan L2 Accept 7 (2) MMA MP 4.1.2 W = 12,1m – 6,1m - 2,3m – 3m 1M, Subtracting all correct length L2 = 0,7mA 1A, Answer OR OR W = 12,1m – ( 6,1m+ 2,3m + 3m) 1MA, Subtracting 11,4m = 12,1m – 11,4m MA 1A, Answer = 0,7m A AO (2) MP 4.1.3 Number of people = 7RM 2RM, Reading from the plan L2 Accept 8 (2) SF SF M 4.1.4 Perimeter = 2 × 12,1𝑚 + 2 × (2,4𝑚 + 1SF, Substitution in a formula L3 6,1𝑚 + 2,4𝑚) M 1M, Adding width dimensions = 24,2m + 21,8m S 1S, Simplification = 46m (3) MP 4.1.5 The bedroom is between kitchen and 2RT, Reading from the plan L4 laundry/bathroomRT (2) M 4.2.1 480 L3 Number of loads = 24 1MA, Number of loads = 20MA Duration = 20 × 4 1CA, Total duration = 80 minutes CA = 1hr 20minutes 1M, Adding duration Time = 08:15 + 1hr20min M 1CA, Answer = 09:35CA (4) M MP Total = 30 × 24 1M, Multiplication L1 4.2.2 = 720A 1A, Answer AO (2) MP 4.2.3 Possible arrangement of boxes per stack = L1 3 by 2 by 4 A 2A, Answer OR 3 rows ,2 columns and 4 layers A (2) MP 4.2.4 So that they will not fall when loaded O 2O, Opinion L4 OR To avoid being wet. O (2) OR Security reasons O [21] TOTAL: 75 Copyright Reserved Please Turn Over