Mathematical Literacy Grade 11 P1 2015 Memo (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2015 MATHEMATICAL LITERACY P1 MEMORANDUM MARKS: 100 Symbol Explanation M Method A Accuracy CA Consistent accuracy RT/RG/RM Reading from a table/Reading from a graph/Read from map RP Reading from the plan SF Substitution in a formula S Simplications P Penalty (no units, incorrect rounding off etc.) O Opinion J Justification RO Rounding Off This memorandum consists of 7 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 1 Question Solution Explanation Mark 1.1 1.1.1 R169 x 24 + R55 x 24  2M R4 056 + R1 320  1S = R5 376  1A (4) 1.1.2 R0,79 x 8  1M R6,32  1S (2) 1.1.3 R1 999 + R1 999 x 4,4%  OR R1 999 x 1,044 1M = R1 999 + R87,96 = R2 086,96 = R2 086,96  1S OR R1,999 x 0,144 R2 086,86 (2) 1.2 1.2.1 R0,35 x 25  1M = R8,75  1A (2) 1.2.2 18:15  1M = 6:5  1A (2) 1.2.3 25 = 5  1M 35 7 1A = 0,71 or 71% (Answer only – full marks) (2) 1.3 1.3.1 Month 1: R1 525 x 20% = R305,00  1M Month 2: R1 830,00 x 20% = R366,00 Interest = R366 + R305 = R671,00  1S (2) 1.3.2 R400 x 11 x 8  + R2 000 x 8 + R671  2M = R35 200 + 16 000 + R671 1CA = R51 871,00  Multiplication by different number not 11 (3) 1.3.3 R400 x 11+ R2000 + R671 = 400 000 1M R4 400 + R2 000 + R671  1S = R7 071,00  1S OR + R671 = R7 071,00 (3) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 3 Question Solution Explanation Mark 1.4 1.4.1 R4 760 x 11,82  OR 4,760 x 11,82 1M = R56 263,20  = 56,26 1A (2) 1.4.2 R1 571,05 x 114%  OF R1 571,05 x 14% 1M R1 790,997 R219,95  1S R1 790,997 x 2  R1 571,05 + R219,95  1A = R3 581,99  R1 571,05 + R219,95  OR R1 571,05 x 14% = R 219,95 = R1 571,05 + R219,947  = R1 790,997 x 2 = R3 581,99  OR R1 571,05 x 2  = R3 142,10 x 114%  = R3 581,99  (3) [28] Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) QUESTION 2 Question Solution Explanation Marks 2.1 2.1.1 227  RD (2) 2.1.2 7 ÷ 60 = 0,1166666667 h 2M 5 ÷ (60 x 60) = 0,00138888888 h  1S 4 h + 0,1166666667 h + 0,00138888888 h (3) = 4,118055556 hours = 4 hours  2.1.3 1S Average speed =  2S = 16,5  km/hour Penalise for unit (3) 2.2 2.2.1 Arrival time – 18:56  2RT Departure time – 19:00  (2) 2.2.2 Bloemfontein  2RT (2) 2.2.3 Area of a bigger circle – Area of a smaller circle  1F 2 2 3,142 x (5 m) – 3,142 x (2,5 m)  = 78,55 m2 – 19,6375 m2  2SF = 58,91 m2  (Accept 58,91 m2)  1S 1A (5) [17] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 5 QUESTION 3 Question Solution Explanation 3.1 3.1.1 113 341 x 26%  = 113 341 x 0,26 = 29 468,66 = 29 469  (2) 3.1.2 (i) Cancer  (ii) Heart disease  (2) 3.1.3 Types of Heart All other Accidents Cancer Suicide Homicide death disease causes % death 26 13 12 11 6 32 232 % death 35 30  25  Percentages 20   15 10 5 0 Accidents Cancer Heart Suicide Homicide All other disease causes Causes of death  1 mark for completing the table = 1 mark 1mark for joining points with a straight line = 1 mark 1 mark per three correctly plotted points = 2 marks 2 marks for correctly labelling x-axis and y-axis = 2 marks (6) 3.1.4 113 341 – 39 213  1M = 74 128  1A (2) 3.1.5 25–44 years  2RG (2) 3.1.6 They drive recklessly trying to impress those people of their age about their driving skills. They do not concentrate on the road trying to greet their friends walking on the street. 25–44 are mature enough and they are careful when driving.  (Accept any acceptable reasons.) 2A (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2015) 3.2 3.2.1 15+14 x 2 + 13 +12 + 9 x 5 + 10 x 3+7 + 5 x 2  1M 16 = 160  1S 16 = 10  1S (3) 3.2.2 Mode = 36  2A (2) 3.2.3 Maluti FET College  2A (2) [23] QUESTION 4 Question Solution Explanatio Marks n 4.1 4.1.1 35 passengers  2A (2) 4.1.2 Get in and turn right.  Walk straight or 3 southwards and at the third row from the back  next to the window will be your seat. Accept any relevant explanation. (3) 4.1.3 A7  2A (2) 4.2 4.2.1 Strip Map  2A (2) 4.2.2 430 – 220  OR 22 + 19 x 2 + 14 x 2 +17 x 2 + 10 + 35 + 43 1M = 210 km  = 210 km 1S (2) 4.2.3 N1 or Road 1 and 4 toll gates  2RM (2) 4.2.4 North west  2RM (2) [15] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2015) MATHEMATICAL LITERACY P1 7 QUESTION 5 Question Solution Explanation Marks 5.1 5.1.1 323 litres  1RD 323 x 1 000 = 3 3 ℓ 1C (3) 5.1.2 Interest rate is the rate  at which interest is 2A paid or charged for the use of money.  OR It is percentage of the total amount paid over a period of time. (2) 5.1.3 R4 799,00 – R479,90  1M = R4 319,10  1S (2) 5.1.4 R4 319,10 x (21,75 ÷ 100 ÷ 12)  1M = R4 319,10 x 0,018125  1S = R78,2836875 x 24 = R1 878,81  1S OR R4 319,10 x (21,75 ÷ 100) = R939,40425 x 2 = R1 878,81 OR R4 319,10 x (21,71 ÷ 100) x 2 = R1 878,81 (3) 5.2.1 32;35,36;37;38;42;46;46;46;49;58;62;64;66;67 2A Median = 46  (2) 5.2.2 IQR = 62 – 37  2CV = 25  1A (3) 5.2.3 10 2M 15 =2 3  1A (3) [18] TOTAAL: 100 Copyright reserved Please turn over