Mathematical Literacy P2 May June 2019 Memo Afr Eng hlayiso.com

Downloaded from hlayiso.com SENIOR CERTIFICATE EXAMINATIONS/ SENIORSERTIFIKAAT-EKSAMEN NATIONAL SENIOR CERTIFICATE EXAMINATIONS/ NASIONALE SENIORSERTIFIKAAT-EKSAMEN MATHEMATICAL LITERACY P2/ WISKUNDIGE GELETTERDHEID V2 MARKING GUIDELINES/NASIENRIGLYNE 2019 MARKS/PUNTE: 150 Symbol/Kode Explanation/Verduideliking M Method/Metode MA Method with accuracy/Metode met akkuraatheid CA Consistent accuracy/Volgehoue akkuraatheid A Accuracy/Akkuraatheid C Conversion/Herleiding S Simplification/Vereenvoudiging RT Reading from a table/a graph/document/diagram/Lees vanaf tabel/grafiek/diagram SF Correct substitution in a formula/Korrekte vervanging in formule O Opinion/Explanation/Opinie/Verduideliking P Penalty, e.g. for no units, incorrect rounding off, etc./Penalisasie, bv. vir geen eenhede/verkeerde afronding, ens. R Rounding off/Afronding NPR No penalty for rounding/Geen penalisasie vir afronding nie AO Answer only/Slegs antwoord MCA Method with constant accuracy/Metode met volgehoue akkuraatheid These marking guidelines consist of 20 pages. Hierdie nasienriglyne bestaan uit 20 bladsye. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 2 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne NOTE: • If a candidate answers a question TWICE, mark only the FIRST attempt. • If a candidate has crossed out (cancelled) an attempt to a question and NOT redone the solution mark the crossed out (cancelled) version. • Consistent accuracy (CA) applies in ALL aspects of the marking guidelines, however it stops at the second calculation error. • No CA mark follows after a breakdown. • If the candidate presents any extra solution when reading from a graph, table, layout plan and map, then penalise for every extra item presented. LET WEL: • As 'n kandidaat 'n vraag TWEE KEER beantwoord, merk slegs die EERSTE poging. • As 'n kandidaat 'n antwoord van 'n vraag doodtrek (kanselleer) en nie oordoen nie, merk die doodgetrekte (gekanselleerde) poging. • Volgehoue akkuraatheid (CA) word in ALLE aspekte van die nasienriglyne toegepas, dit hou op by die tweede berekeningsfout. • Geen CA-punt volg na 'n afbreking nie. • Wanneer 'n kandidaat aflesings vanaf 'n grafiek, tabel, uitlegplan en kaart geneem en ekstra antwoorde gee, penaliseer vir elke ekstra item. QUESTION/VRAAG 1 [28 MARKS/PUNTE] Q/V Solution/Oplossing Explanation/Verduideliking T&L D 1.1.1 750  MA 1MA dividing by 50 L2 A= 50 A = 15 occupants/bewoners 1A occupants B = 2 500 × 30 MA 1MA multiplying = 75 000 A 1A litres OR/OF OR Using ratios A : 22 500 8 : 12 000 1M dividing and multiplying M A 22 500 8 × 22500 A= = 15 or/of A= = 15 1A occupants 12 000 1 500 50 : B 1 : 1 500 1M multiplying B = 1 500 × 50  M 1A litres = 75 000 A AO (4) Copyright reserved/Kopieregvoorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 3 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L M 1.1.2 Number of days/Aantal dae L4 1500 1MA dividing correct pair = MA 50 = 30 A 1A number of days But July has 31 days/Maar Julie het 31 dae O His statement is NOT valid./Sy bewering is NIE geldig nie. 1O verification OR/OF OR/OF A 1A number of days Number of days in July 31 1M multiply M 1 500 × 31 = 46 500 or 50 ×31 = 1 550 1O verification O Not valid since it is not the same values /Nie geldig nie want die waardes verskil OR/OF OR/OF July has 31 days A 1 A days in July 1500 ÷ 31 M 1M dividing = 48,39 ℓ /pp 48,39 < 50 Not valid / Nie geldig nie O 1O verification [using any of maximum litres/month or maximum litres/day] (3) M 1.1.3 Total occupants/Totale bewoners L3 (a) 1MA no. of occupants MA = 2 + 4 + 2 + 2 = 10 Volume of water allowed/Volume water toegelaat MCA M 1MCA 500 = (10 × 50) × 31 1M multiplying by 31 = 15 500 ℓ CA 1CA no. of litres Extra/Ekstra = 20% × 15 500 1CA calculating 20% = 3 100 ℓ CA 1CA Adding litres Total volume/Totale volume = 15 500 + 3 100 CA = 18 600 ℓ = 18,6 kℓ C 1C Converting to kilolitres (7) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 4 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L OR/OF Total occupants/Totale bewoners = 2 + 4 + 2 + 2 = 10 MA 1MA no. of occupants Volume of water allowed per day Volume water toegelaat per dag = 50 × 10 = 500 ℓ MCA 1MCA 500 Extra/Ekstra = 20% × 500 = 100 ℓ CA 1CA calculating 20% Total volume per day/Totale volume per dag = 500 + 100 1CA Adding litres = 600 ℓ CA 1M multiplying by 31 Total volume for May/Totale volume vir Mei = 600 × 31 M = 18 600 ℓ CA 1CA no. of litres = 18,6 kℓ C 1C Converting to kilolitres OR/OF OR/OF Total occupants/ Totale bewoners = 2 + 4 + 2 + 2 = 10 MA 1MA no. of occupants Increased quota per day / Verhoogde kwota per dag 1CA calculating 20% CA 1CA Adding litres = 50 + 20% × 50 = 60 CA Maximum consumption / maksimum verbruik 1CA 600 CA M CA = 60 × 10 × 31 = 18 600 ℓ 1M multiplying by 31 1CA no. of litres =18,6 k ℓ C 1C Converting to kilolitres (7) F 1.1.3 Amount payable/Bedrag betaalbaar L3 1MA multiplying by rate (b) MA 1CA correct answer First 6 kℓ = 6 × R29,93 = R179,58 CA 1M same correct column M calculation Next 4,5 kℓ= 4,5 × R52,44 = R235,98 1M same correct column M calculation Next 4,8 kℓ = 4,8 × R114,00 = R547,20 M 1M adding Total amount/Totale bedrag = R179,58 + R235,98 + R547,20 = R962,76 CA 1CA total (6) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 5 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L 1.1.3 Accept one of the following applicable reasons M (c) • Close taps while brushing your teeth/washing your hands L2 • Rather take a shower than bath • Fix leaking taps, pipes etc. • Use grey water (bath or washing machine water) in the garden or to flush the toilet • Do not fill your swimming pool O • Reduce the Capacity of the flush tank of toilet cistern • Water garden once a week • Use buckets to wash car • Install a tank or borehole 2O relevant answer Aanvaar een van die volgende toepaslike redes • Maak krane toe terwyl jy tande borsel/hande was • Stort eerder as bad • Maak lekkende krane, pype ens. reg • Gebruik grys water(bad- of wasmasjienwater) in die tuin of om die toilet te spoel • Moenie swembad volmaak nie • Verminder die kapasiteit van die spoelbak van die toilet • Maak tuin slegs een keer ‘n week nat • Was die motor met ‘n emmer • Installeer ‘n tenk of boorgat OR/OF Accept any other relevant answer Aanvaar ander toepaslike rede (2) R F 1.2 Labour day 1 = 6 hours × R129,99/h 1R rounding L4 Arbeid dag 1 = R779,94 M 1M 1st day labour calculation Day 2/Dag 2 = 2 hours × R129,99/h = R259,98 CA 1CA 2nd day labour calculation Total/Totaal = R779,94+ R259,98 = R1 039,92 CA 1CA Adding 2 day values Cost of installing the tank/Koste om tenk te installeer = R12 958,00 + R1 943,70 + R1 039,92 1CA total cost = R15 941,62 CA Mr Vellem's budget is NOT enough O Mnr. Vellem se begroting is NIE genoeg nie. 1O verification OR/OF OR/OF Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 6 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L R CA 1R rounding Total labour = 6 hours + 2 hours = 8 hours 1CA total hours labour M Labour cost = 8 × R129,99 1M labour calculation = R1 039,92 CA 1CA labour cost Cost of installing the tank/Koste om tenk te installeer = R12 958,00 + R1 943,70 + R1 039,92 = R15 941,62 CA 1CA total cost Mr Vellem's budget is NOT enough O 1O verification Mnr. Vellem se begroting is NIE genoeg nie OR/OF OR/OF R 1R rounding CA Total labour = 6 hours + 2 hours = 8 hours 1CA total hours labour M CA 1M subtracting from budget Budget = R15 900 – R12 958,00 – R1 943,70 – R129,99 × 8 1CA labour cost = – R41,62 CA 1CA simplification Mr Vellem's budget is NOT enough O Mnr. Vellem se begroting is NIE genoeg nie 1O verification (6) [28] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 7 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION/VRAAG 2 [32 MARKS/PUNTE] Q/V Solution/Oplossing Explanation/Verduideliking T&L NOTE: 2.1.1 IS NOT TO BE MARKED, MARKS WILL BE M 2.1.1 SCALED L2 (a) LET WEL: 2.1.1 WORD NIE GEMERK, PUNTE SAL AANGEPAS WORD Total surface area/Totale buite oppervlakte = 2(L × W) + 2(L × H) + 2(W × H) 1C conversion C = 2(6,5 × 6,5) + 2(6,5 × 12,5) + 2(6,5 × 12,5) cm2SF 1SF substitution = 2(42,5) cm2 + 2(81,25) cm2 + 2(81,25) cm2 = 84,5 cm2 + 162,5 cm2 + 162,5 cm2 S 1S simplification = 409,5 cm2  CA 1CA total area (4) M O 2.1.1 To appeal to young children. L4 (b) Om die medisyne vir die kinders aantreklik te maak. OR/OF To advertise the medicine/Om die medisyne te adverteer O 2O reason OR/OF O To show it is for children/Om aan te toon dat dit vir kinders is OR/OF (2) Accept any valid reason/Aanvaar enige geldige rede M 2.1.2 radius = 2,52 cm = 1,26 cm A 1A radius L3 SF 2 10 mℓ = 3,142 × (1,26 cm)2 × ℎ P 1SF substituting volume 10cm3 M 1M changing the subject of =h 4,9882392cm2 the formula 2,0047…m =h CA 1CA height NPR (4) MP 2.2 Number of boxes in one carton L2 Aantal bokse in een karton = 6 × 8 × 4 M In each carton 1 layer has 1M multiplying = 192 A 6 × 8 = 48 boxes  1A number per box Each carton has 4 layers Total number of boxes 48 × 4 = 192 boxes  Totale aantal bokse They ordered 5 cartons = 192 × 5 M  1M multiply = 960 A 192 × 5 = 960 boxes  1A total OR/OF OR/OF 1M multiplying 2 values Total number of boxes/Totale aantal bokse 1M multiplying with 3rd value M M M 1M multiplying with 4th value =6×8×4×5 1A total = 960 A (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 8 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L D 2.3.1 Range = N – Lowest value 1M writing formula L2 Omvang = N – laagste waarde M 1SF substitution 4 527 = N – 612 SF 4 527 + 612 =N M 1M change the subject of the 5 139 =N CA formula 1CA when 76 for unknown age is used (4) CA from 2.3.1 D 2.3.2 612 , 1 280 , 2 221 , 3 051 , 3 429 , 5 139 M 1M arranging L3 Interquartile Range /Interkwartiel omvang 1A Q1 A A = 3 429 – 1 280 1A Q3 M 1M subtraction = 2 149 CA 1CA Simplify (5) CA from 2.3.1 2.3.3 Total/Totaal D = 1 280 + 612 + 3 051 + 2 221 + 5 139 + 3 429 + 76 L4 1MCA adding all values = 15 808 MCA 1RT unknown age value 76 RT Percentage = × 100% M 1M % calculation 15 808 = 0,48 CA 1CA simplification ≈ 0,5% It is correct, due to rounding. O 1O explanation Dit is korrek as gevolg van afronding. (5) D 2.3.4 Number hospitalised < 6 months L3 Aantal gehospitaliseer< 6 maande = 1 280 × 44,2% MA 1MA % calculation = 565,76 A 1A simplification Number hospitalised 20+/Aantal gehospitaliseer 20+ = 3 429 × 7,6% = 260,6 A 1A simplification Difference/Verskil = 565,76 – 260,60 = 305,1 1CA difference CA NPR ≈ 305 (4) [32] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 9 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION/VRAAG 3 [26 MARKS/PUNTE] Q/V Solution/Oplossing Explanation/Verduideliking T&L F 3.1.1 3 200  RT 2RT number of copies L2 [Accept values from 3 100 to 3 250 Aanvaar waardes van 3 100 tot 3 250] (2) F 3.1.2 Contract 2/Kontrak 2  RT 2RT correct contract L2 (2) F 3.1.3 Total cost = fixed cost + cost per page A 1A setting up the equation L4 RT 1RT constant cost = R625 per month for the first 600 pages + RT M 1RT values from graph 1M calculating the increment (R1 475 – R625) ÷ (4 000 – 600) per page more than 600 per page CA = R625 for the first 600 pages + R0,25 per page extra 1CA cost per page extra Totale koste = vaste koste + koste per bladsy A RT = R625 per maand vir die eerste 600 bladsye + RT M (R1 475 – R625) ÷ (4 000 – 600) per bladsy meer as 600 CA = R625 vir die eerste 600 bladsye + R0,25 per ekstra bladsy OR/OF OR/OF M RT CA A 1RT constant cost Total cost = R625 + R0,25 (n – 600) where n is the 1M calculating the increment per page number of pages more than 600. A 1CA cost per page extra 1A setting up the equation 1A explaining the unknown in the equation (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 10 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L F 3.1.4 Monthly photocopying costs for different L2 3 000 contracts Contract 1 Contract 2 A Contract 3 2 500 COMPANY B 2 000 Monthly cost in rand 1 500 1 475 A 1 000 625 500 0 A 0 500 1 000 1 500 2 000 2 500 3 000 3 500 4 000 Number of pages of photo copies 1A Starting point (0 copies ; R0,00 charge)/Beginpunt (0 kopieë ; R0,00 koste) 1A end point (4 000 ; 2 800)/Eindpunt (4 000 ; R2 800) 1A connecting points with a straight line./Verbind punte met reguit lyn. (3) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 11 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L MP 3.2 The electrical lead is crossing the floor. A L4 This can be dangerous since persons can step on it and perhaps unplug the copier which might damage the machine or  O A person can trip over the lead and fall causing injury. 1A justification Die elektriese koord lê oor die vloer Dit kan gevaarlik wees aangesien persone daarop kan trap en veroorsaak dat dit uittrek wat die kopieerder kan 2O reason beskadig of 'n Persoon kan daaroor val en 'n besering veroorsaak. OR/OF A Copier in the middle of the room takes up space, if it is against the wall the room is not so crowded  O Fotostaatmasjien is in die middel van die kamer en dit neem ruimte op, indien dit teen die muur van die kamer is, sal daar meer spasie wees (3) A OR/OF Not suitably placed. Directly facing the window, it can attract criminals  O Dit is nie op ‘n geskikte plek nie. Direk voor die venster, dit kan skelms aanlok. A OR/OF The copier is suitably placed since it can now be accessed from all sides.  O Die fotostaatmasjien staan op die regte plek vir toegang daartoe van alle kante. M 3.3.1 100% – 58,5 % = 41,5 % M 1M subtraction from 100% L3 Length of truck on original picture Lengte van vragmotor op die oorspronklike prent 76 mm 1M dividing the 76 mm with = M 41,5 % the percentage ≈ 183 mm Length of the real truck Lengte van die werklike vragmotor 1M Multiplying by 50 = 183 mm × 50 M 1S simplifying S C 1C conversion = 9156 mm = 9,156 m NPR (5) OR/OF Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 12 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L Length /Lengte = 76 mm × 50 1M Multiplying by 50 M 1S simplifying S = 3 800 mm = 3,8 m C 1C conversion 100% – 58,5 % = 41,5 % Length of real truck/ Lengte van werklike vragmotor 3,8 m M 1M dividing 3,8 m by the = percentage 41,5 % = 9,157 m CA 1CA real length (5) F M 3.3.2 A$ 45 × 300 × R9,41564/A$ 1M multiplying by 300 L4 = R127 111,14 C 1C conversion VAT/BTW = R127 111,14 × 15 % = R19 066,67 CA 1CA when 15% is used Import duties/Invoerbelasting = R127 111,14 × 4,7% = R5 974,22 CA 1CA simplification Cost/Koste = R127 111,14 + R19 066,67 + R5 974,22 CA 1CA adding all costs = R152 152,03 NOT correct/NIE korrek NIE O 1O verification OR/OF OR/OF Cost of 300 trucks /Koste van 300 vragmotors M = A$ 45 × 300 = A$ 13 500 1M multiplying by 300 Rand value /Rand waarde = A$ 13 500 × R9,41564/A$ = R127 111,14 C 1C conversion Total tax rate /Totale belasting koers = 15% + 4,7% = 19,7% A 1A total tax rate Total taxes = R127 111,14 × 19,7% = R25 040,89 CA 1CA simplification CA Cost/Koste = R127 111,14 + R25 040,89 = R152 152,03 1CA adding all costs NOT correct/NIE korrek NIE O 1O verification OR/OF OR/OF Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 13 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L M 1M multiplying by 300 A$ 45 × 300 × R9,41564/A$ = R127 111,14 C 1C conversion A M 1A using total tax rate Cost /Koste = R127 111,14 × 119,7% 1M multiplying with total = R152 152,03 CA rate 1CA simplification NOT correct/NIE korrek NIE O 1O verification OR/OF OR/OF 159778,70 M 1M dividing by 300 300 = R532,5956667 100 532,5956667 1A total tax rate × A M 119,7 1 1M dividing by 119,7% = R 444,9420774 S 1S simplification 444,9420774 9,41564 C = A$47,26 1C conversion A$45<A$47,26 NOT correct /Nie korrek nie O 1O verification NPR (6) [26 ] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 14 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION/VRAAG 4 [34 MARKS/PUNTE] Q/V Solution/Oplossing Explanation/Verduideliking T&L MP 4.1.1 SW (South west/Suidwes)  A 2A reading direction L2 (2)  A MP 4.1.2 Part or sections of the railway line are not seen from 2A description L2 above. (2) 'n Gedeelte van die treinspoor is nie sigbaar op die kaart OR/OF The road stays continuous (whole) while the railway line is in sections. Die pad is aaneenlopend (heel) terwyl die treinspoor in “stukkies” is. MP 4.1.3 Toyota or 11  A 2A correct circle L2 (2) A A MP 4.1.4 Proceed straight on Stateway Street until you turn right at 1A straight on Stateway L3 A 1A turn right the City Council into Arrarat Street. Then proceed straight 1A Arrarat A A 1A straight until Alma until Alma. Destination is on the left-hand side. 1A destination on left-hand Ry reguit met Staatsweg totdat jy regs by die Stadsraad uitdraai in Arrarat . Gaan reguit voort tot in Alma. Die bestemming is aan die linkerkant. OR/OF OR/OF Continue (NW) along Stateway. A 1A exit point st nd • At 1 circle (13) take 2 exit along Stateway.  A 1A correct street • At 2 circle (Smith)(14) take 3 exit to Arrarat St. 1A exit point nd rd A • Continue in Arrarat passing further three circles A 1A description A Bingo (10), Alfa(8) and Engen(4) (from each 1A naming the circles circle taking 2nd exit to NE). Ry (NW) met Stateway • By die 1ste sirkel neem die 2de uitgang gaan voort in Stateway • By die 2de sirkel neem die 3de uitgang na Arraratstr. • Gaan voort in Arrarat verby drie sirkels Bingo, Alfa en Engen (by elke sirkel neem die 2de uitgang Noordoos) (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 15 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L MP 4.1.5 Distance between Alfa and Engen circles = 5mm  A L3 Afstand tussen Alfa- en Engensirkels = 5mm 1A measuring given distance ∴ 5mm = 500m 1CA simplification or scale  CA 1mm = 100m or 1: 100 000 A 1A measure distance Distance between circles 13 and 14 is 28 mm = 1,4 km Afstand tussen sirkels 13 en 14 is 28 mm = 1,4 km ∴ 28 mm = 1 400 m 1mm = 50m or 1 : 50 000  CA 1CA simplification or scale This map is NOT drawn to scale. O 1O explanation Die kaart is nie volgens skaal geteken nie. 4 – 7 for distance between Afla and Engen 24 – 29 for distance between 13 and 14 (5) 5 M 4.1.6 5 minutes = ≈ 0,083 hour C 1C minutes to hours L4 60 Distance = Speed × time 1MA substituting 4 = speed × 5 min  MA Distance/ Afstand 4 Speed/Spoed = = Time/ Tyd 0,083 1CA Speed value = 48 km/h  CA O 1O conclusion The car's speed was within the speed limit. NPR Die motor se spoed is minder as die spoedbeperking OR/OF OR/OF 1MA substituting Speed/Spoed = 4 km ÷ 5 min  MA 1C converting = 0,8 km/min × 60 min/hour  C = 48 km/h  CA 1CA Speed value The car's speed was less than the limit. 1O conclusion O Die motor se spoed is minder as die spoedbeperking (4) P 4.1.7 3 RT 1RT numerator L4 P= 20 RT 1RT denominator = 0,15 S 1S simplification Valid/Geldig O 1O conclusion (4) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 16 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L RT D 4.2.1 104 : 88 A 1RT correct values L2 1A correct order = 13 : 11 S 1S simplification (3) P 203  RT 1RT numerator L2 4.2.2 1RT denominator 1 724  RT = 0,11774942 1CA simplification ≈ 0,12 CA NPR (3) P 4.2.3 Total NOT electrical repairs/Totaal nie elektriese L3 herstelwerk nie 1A numerator = 1 + 206 + 103 = 310 A 310 M 1RT denominator P (NOT) = × 100% 368  RT 1M multiplying with 100% ≈ 84% CA 1CA rounded simplification OR/OF OR/OF 58 P (electr) = 368  RT 1RT denominator 58 P (NOT) = 1 – 368 A 1A numerator 310 1M multiplying with 100% = × 100% M 368 1CA rounded simplification ≈ 84% CA OR/OF OR/OF 58 1RT denominator P (electr) = × 100% 368  RT 1M multiplying with 100% ≈ 16% M 1A subtracting from 100% P (NOT) = 100% – 16% A = 84 %  CA 1CA simplification (4) [34] Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 17 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne QUESTION/VRAAG 5 [30 MARKS/PUNTE] Q/V Solution/Oplossing Explanation/Verduideliking T&L F 5.1.1 Motor claims/Motor eise RT L2 = R100 712 182 – (R18 513 071 + R15 498 565 1RT correct values + R7 339 724 + R6 463 292) M 1M subtracting from the total =R100 712 182 – R47 814 652 = R52 897 530 ≈ R53 million/miljoen CA 1CA rounded value OR/OF OR/OF Motor claims/Motoreise 1RT correct values RT = 53% × R100 712 182 M 1M percentage calculation = R53 377 456 ≈ R53 million/miljoen CA 1CA rounded value (3) F 5.1.2 Total/Totaal 2016 × 60% = R59 438 533 M 1M relating values L3 Total/Totaal 2016 = R59 438 533 ÷ 60% M 1M dividing = R99 064 221,67 A 1A simplification M Difference/Verskil = R99 064 221,67 – R87 101 354 1M subtracting from 2017 value = R11 962 867,67 CA 1CA difference OR/OF OR/OF 2016 60% - R59 438 533 10% - R9 906 422,17 M 1M finding rand values 16% - R15 850 275,47 7% - R6 934 495,52 × 2 M 1M double the 7% value Total/Total : R99 064 221,67 A 1A simplification Difference/Verskil = R99 064 221,67 – R87 101 354 M 1M subtracting from 2017 = R11 962 867,67CA value 1CA difference (5) Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 18 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L D New value − Old value A 5.1.3 Percentage difference = × 100% 1A concept of percentage L3 Old value difference Nuwe waarde − Ou waarde Persentasie verskil = × 100% Ou waarde A 1M difference R11 829 111 − R15 498 565 RT 1RT correct values = × 100% R15 498 565 = – 23,676…% CA 1CA percentage (4) ≈ – 24% D 5.1.4 Percentage Household/Persentasie Huishoudelik L4 (a) RT M 1RT correct values 7 339 724 = × 100% 1M multiplying with 100% 100 712182 = 7,28782… % A 1A simplification Percentage Other/Persentasie Ander 6 463 292 = × 100% = 6,41758…% A 1A simplification 100 712182 Her statement is valid; the percentage should be 6% if rounded down. O 1O verification Haar stelling is geldig; die persentasie moet 6% wees indien dit afgerond word. OR/OF OR/OF Motor claims 2015 = 53% × R100 712 182 = R53 377 456 Total of the claims = R18 513 071 + R15 498 565 + R7 339 724 + 1RT correct values R53 377 456 + R6 463 292 RT = R101 192 108 6 463 292 1M multiplying with 100% Other % = × 100% M 101 192 108 = 6,38% A 1A simplification 7 339 724 Household % = ×100% 101 192 108 1A simplification = 7,25% A Her statement is valid; the percentage should be 6% if O 1O verification rounded down. Haar stelling is geldig; die persentasie moet 6% wees indien dit afgerond word. Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 19 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L OR/OF OR/OF Rand value of the sectors /Randwaarde van die sektore RT 1RT correct values = 7% × R100 712 182 MA 1MA percentage calculation = R7 049 852,74 A 1A simplification O Both household and other were supposed to be R7 049 852, 1O explanation but it is not. ⸫ Her statement is valid O 1O verification (5) D 5.1.4 When subtracting the percentages of Commercial, Home L4 (b) owner, Household and motor from 100% Other will be 7% due to %values in a circle diagram. O 2O reflecting OR Percentages were rounded. As die persentasies van Kommersieel, Huiseienaar, Huishoudelik en motor van 100% afgetrek word sal ander 7% wees a.g.v. %waardes in die sirkeldiagram. OF Persentasies is afgerond. (2) F 5.1.5 Number of successful claims/Aantal suksesvolle eise L3 = 14,0858% × 2 144 MA 1MA % calculation ≈ 302 A 1A simplification Average paid out/Gemiddeld uitbetaal R11 829 111 = M 1M dividing 302 1CA simplification = R39 169,24 CA (4) A from D 5.1.6 The percentage of commercial claims went down 1A down 2016 L4 2015 to 2016 but then again went up from 2016 to 2017. A 1A up 2017 Die persentasie van kommersiële eise het verminder van 2015 tot 2016 maar het weer vermeerder van 2016 tot 2017 OR (2) From 2015 to 2017 the trend is it increased Vanaf 2015 tot 2017 is die tendens dat dit vermeerder D 5.2 Number of days/Aantal dae L4 = 21 (July/Julie) + 31 + 30 + 31 + 3 MA 1MA adding correct days = 116 A 1A simplification It is not valid./Dit is nie geldig nie. O OR/OF 1O verification 131 days is more than 4 months (3) It is not valid 131 dae is meer as 4 maande Dit is nie geldig nie Copyright reserved/Kopiereg voorbehou Please turn over/Blaai om asseblief

Downloaded from hlayiso.com Mathematical Literacy/P2/Wiskundige Geletterdheid/V2 20 DBE/2019 SC/SSE/NSC/NSS – Marking Guidelines/Nasienriglyne Q/V Solution/Oplossing Explanation/Verduideliking T&L F 5.3 Accept one of the following L4 The insurance company believes the claim is not valid. They suspect it is a fraudulent claim. They don't believe the item was specified. Under insured / Unpaid premiums Too many claims to date O Negligence on the side of the client Die versekeringsmaatskappy glo dat die eis nie geldig is nie Hulle vermoed dat dit 'n oneerlike eis is. 2O reason Hulle glo nie dat die item gespesifiseer is nie Onder verseker / Onbetaalde premies Te veel keer ge-eis tot datum Nalatigheid aan die kant van die eiser. OR/OF Any other valid reason/Enige ander geldige rede (2) [30] Copyright reserved/Kopiereg voorbehou