Mlit P1 S12 Memo Eng hlayiso.com

Downloaded from hlayiso.com Province of the EASTERN CAPE EDUCATION NATIONAL SENIOR CERTIFICATE GRADE 12 SEPTEMBER 2013 MATHEMATICAL LITERACY P1 MEMORANDUM MARKS: 150 Symbol Explanation M Method MA Method with accuracy CA Consistent accuracy A Accuracy C Conversion S Simplification RT/RG/RM Reading from a table/Reading from a graph/Read from map F Choosing the correct formula SF Substitution in a formula J Justification P Penalty, e.g. for no units, incorrect rounding off, etc. R Rounding Off/Reason This memorandum consists of 7 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (SEPTEMBER 2013) QUESTION 1 [27 MARKS] Question Solution Explanation LO+AS 1.1 1.1.1 65% of 580 + ¼ (247,68 + 3 246,32) 1MA Correct method and 12.1.1 = 377 + 873,5 MA accuracy = 1 250,5 CA 1CA Consistent accuracy (2) 1.1.2 5,75 x 1 000 = 5 750 grams MA 1MA Method and 12.3.2 accuracy (1) 1.1.3 2 453 000 12.1.1 = 2,453 x 106 MA 1A Correct answer (1) 1.1.4 √ +√ - 1MA Method and 12.1.1 = 4 + 11 – 9 MA accuracy = 6 CA 1CA Consistent accuracy (2) 1.1.5 Cost of 1 can = 58,20 12 M 1M Dividing by 12 12.1.1 = R4,85 A 1A Correct answer (2) 1.1.6 12 4 = 6 M 12.1.1 1M Correct method used 1A Correct answer (2) A OR = M 1M Correct method used A 1A Correct answer (2) 1.2 1.2.1 Other Things = 1 - - 12.1.3 = M A = of salary CA OR x 26 560 = 6 640 x 26 560 = 10 624 1MA Correct method and Other things = 26 560 – 6 640 – 10 624 accurate conversion = 9 296 MA 1CA Correct answer and = = 0,35 = = CA accuracy (2) 1.2.2 (a) Rent = M 1M Correct method used 12.1.3 1CA Consistent accuracy = R6 640,00 CA (2) (b) Food = M 1M Correct method used 12.1.3 1CA Consistent accuracy = R10 624,00 CA (2) 1.2.3 Accept any two reasonable 12.4.4 suggestions here e.g. Clothing, transport, schooling, medical costs, 2R Reasonable etc. R suggestions given (2) 1.3 1.3.1 MA = MA 2MA correct fraction and 12.1.1 correct simplification (2) 1.3.2 MA = MA 2MA correct fraction and 12.1.1 correct simplification (2) 1.3.3 Table A as I get more pizza O 1O Reasoning and choice 12.4.4 (1)

Downloaded from hlayiso.com (SEPTEMBER 2013) MATHEMATICAL LITERACY P1 3 1.4 1.4.1 31 – 16 MA 1MA Correct method and 12.1.1 = 15 days A accuracy 1A Correct answer (2) 1.4.2 Accommodation = 450 x 15 MA 1MA Correct method and 12.1.1 = R6 750,00 CA accuracy 1CA Consistent Accuracy (2) QUESTION 2 [21 MARKS] Question Solution Explanation LO+AS 2.1 2.1.1 Education R 1R Correct reading from 12.2.3 graph (1) 2.1.2 Defence R 1R Correct reading from 12.2.3 graph (1) 2.1.3 Education = 1058,4 x 20% SF 2SF Correct values used 12.2.3 = R211,68 billion CA 1CA Correct answer including the word billion (3) 2.1.4 Health = 1058,4 x 12% SF 2SF Correct values used 12.2.3 = R127,008 billion 1CA Correct answer = R127,01 billion CA including the word billion (3) 2.1.5 Hospitals, clinics, nurses, etc. accept 2O Correct suggestions 12.2.4 any 2 valid answers here. O (2) 2.2 2.2.1 % Building and Maintenance 1SF Correct values used 12.2.3 = 100 – 65 – 23 SFM 1M Correct method used = 12% CA 1CA correct answer (3) 2.2.2 Salaries = 250 x 65% SFM 1SF Correct values used 12.2.3 = R162,5 billion CA 1M Correct method used 1CA correct answer (3) 2.2.3 Teaching and Learning Material 1SF Correct values used 12.2.3 = 250 x 23% SFM 1M Correct method used = 57,5 billion CA 1CA correct answer (3) 2.2.4 Yes / No and valid reason given 1O accept either answer 12.2.4 OR so long as 1R reasoning acceptable (2) QUESTION 3 [24 MARKS] Question Solution Explanation LO+AS 3.1 Area = SFSF 12.3.1 2SF Correct values used = 25 285 CA 1CA correct answer (3) 3.2 No. hectares = 25 285 10 000 M 12.3.2 = 2,5285 ha CA 1M Correct method used Accept 2,53 ha if rounded off correctly 1CA correct answer (2)

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (SEPTEMBER 2013) 3.3 3.3.1 Perimeter 1SF Correct values used 12.3.1 = 328 + 70 + 450 + 75 SFM 1M Correct method used = 923 m A 1A correct answer (3) 3.3.2 Wire needed = 923 x 5 SFM 1SF Correct values used 12.2.1 = 4 615 m A 1M Correct method used 1A correct answer (3) 3.3.3 Fencing costs = 4 615 x 2,75 SFM 1SF Correct values used 12.2.1 = R12 691,25 A 1M Correct method used 1A correct answer (3) 3.4 3.4.1 Area Cabbages 12.3.1 2SF Correct values used = x 25 285SFSF 1CA Consistent accuracy = 6 321,25 m2 CA OR 6 312¼ m² (3) 3.4.2 Area Carrots 12.3.1 2SF Correct values used = x 25 285SFSF 1CA Consistent accuracy = 5 057 m2 CA (3) 3.5 Fertiliser needed 3SF Correct values used 12.2.1 = 25 285 x 12,5 x 2 SFSFSF 1CA Consistent accuracy = 632 125 g or 632,125 kg CA (4) QUESTION 4 [25 MARKS] Question Solution Explanation LO+AS 4.1 4.1.1 Grade 12 A Grade 12 B 12.4.2 Class Fre- Class Frequ Inter- Tally quenc Inter- Tally ency val y val 0 – 10 0 0 – 10 0 11 – 20 0 11 – 20 I 1 21 – 30 II 2 21 – 30 III 3 31 – 40 II 2 31 – 40 II 2 41 – 50 IIII I 6 41 – 50 IIII IIII 9 IIII IIII IIII IIII 51 – 60 13 51 – 60 14 III IIII Correct values for both 61 – 70 III 3 61 – 70 I 1 71 – 80 III 3 71 – 80 I 1 tally and frequency in 81 – 90 III 3 81 – 90 I 1 given row (4 + 4) (8) 4.1.2 Grade 12 B RTA 1RT Correct reading from table 1A Accuracy (2) 4.1.3 (a) Between 41 – 60 in Gr12A 1RT Correct reading from 12.4.3 = 6 + 13 RT table = 19 learners A 1A Accuracy (2) (b) Between 41 – 60 in Gr12B 1RT Correct reading from 12.4.3 = 9 + 14 RT table = 23 learners A 1A Accuracy (2) 4.1.4 Grade 12A = 10 Grade 12B = 15 M 12.4.3 Therefore Grade 12 B more learners 1M Method used 50% and below A 1A Correct answer (2) 4.1.5 Scored above 70% 2RT Correct values used 12.4.3 = 2 + 6 RTRT from table = 8 learners CA 1CA Correct calculation and accuracy (3)

Downloaded from hlayiso.com (SEPTEMBER 2013) MATHEMATICAL LITERACY P1 5 4.1.6 Grade 12 TEST RESULTS Mark allocation: 12.2.2 1 Mark for Key 1 Mark correct graph 4 Marks for 4 pairs of correct bars (6) GRADE 12 TEST RESULTS KEY 15 Gr 12A Gr 12B 10 FREQUENCY 5 0 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 CLASS INTERVALS

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (SEPTEMBER 2013) QUESTION 5 [26 MARKS] Question Solution Explanation LO+AS 5.1 5.1.1 (a) 15 000 000 cm A 1A Correct answer (1) 12.3.3 (b) 15 000 000 100 000 M 1M method 12.3.3 = 150 km CA 1CA Correct answer (2) 5.1.2 (a) Distance CT to Johannesburg 12.3.3 = 7,9 x 150 km SF = 1 185 km CA 1SF Correct measurement Allow 1 mm either way in 1 CA Consistent Accuracy measuring (2) (b) Durban to Kimberley 12.3.3 = 4 x 150 km SF = 600 km CA 1SF Correct measurement Allow 1 mm either way in 1CA Consistent Accuracy measuring (2) 5.1.3 South West CA 2CA Correct answer and 12.3.3 accuracy (2) 5.2 Durban to Cape Town 12.3.4 = 8,1 x 150 SF = 1 215 km A Cape Town to Johannesburg 1SF Correct values used = 1 185 km A 1A Correct answer 1A Correct answer Johannesburg to Durban 1SF Correct values used = 3 x 150 SF 1A Correct answer = 450 km A 1M Correct method 1CA Correct answer (7) Total = 1 215 + 1 185 + 450 M = 2 850 km CA OR 8,1 + 7,9 + 3,0 = 19,0 19,0 x 150 = 2 850 km 5.3 5.3.1 Fuel needed = 2 850 x 3 SF M 1SF correct values used 12.2.1 = 8 550 litres CA 1M Correct method 1CA Consistent accuracy (3) 5.3.2 Fuel Cost = 8 550 x 12,06 SF M 1SF correct values used 12.2.1 = R103 113,00 CA 1M Correct method 1CA Consistent accuracy (3) 5.4 7 cm : 28 km M 1M Correct method 12.3.4 7 cm : 2 800 000 cm C 1C Conversion to cm Scale = 1:400 000 MCA 1M method 1CA Consistent accuracy (4)

Downloaded from hlayiso.com (SEPTEMBER 2013) MATHEMATICAL LITERACY P1 7 QUESTION 6 [27 MARKS] Question Solution Explanation LO+AS 6.1 6.1.1 Deposit = 358 000 x 10% SF M 1SF correct values used 12.1.1 = R35 800,00 CA 1M Correct method 1CA Consistent accuracy (3) 6.1.2 Money borrowed 1M Correct method 12.1.1 = 358 000 – 35 800 M 1CA Consistent accuracy = R322 200,00 CA (2) 6.1.3 A 1SF correct values used 12.1.1 = 322 200 + 322 200 x12,5% x10 SF 1M Method accurate = 322 200 + 402 750 M 1CA Consistent accuracy = R724 950,00 CA (3) 6.1.4 A = SF C 1SF correct values used 12.1.1 = R1 016 512,71 CA 1C conversion of % to decimal 1CA Consistent accuracy (3) 6.1.5 Bank A – much better charges O 1O Opinion (1) 12.1.1 6.2 6.2.1 Radius = 5,5 2 = 2,75 m M 1M calculating radius 12.3.3 Volume = SF 1SF correct values used = 59,365625 1CA Consistent accuracy = 59,37 CA (3) 6.2.2 Kilolitres = 59,37 kl C 1C Conversion correct(1) 12.3.2 6.3 6.3.1 SA = 3,14 x SF 1SF Substitution 12.3.1 = 23,74625 1CA Consistent accuracy = 23,75 CA A 1A Correct unit (3) 6.3.2 Cost of netting 1SF correct values used 12.3.1 = 23,75 x 125 SF M 1M Method accurate = R2 968,75 CA 1CA Consistent accuracy (3) 6.4 6.4.1 a = Water A 12.4.5 b = Hamburger : Juice A c = Pie: Water A 3A Correct answers (3) 6.4.2 P(Pie : Juice) = = 16,67% AA 12.4.5 2A Correct answers (2) TOTAL: 150