MATHS LIT P1 MEMO GR12 SEPT 2015 ENG FINAL hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 SEPTEMBER 2015 MATHEMATICAL LITERACY P1 MEMORANDUM MARKS: 150 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 8 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2015) QUESTION 1 [33] Question Solution Explanation Marks 1.1 1.1.1 20  2RT (2) 1.1.2 R1 250 000 x 20%  1M = R250 000  1S = R1 250 000 – R250 000  1M = R1 000 000  1A (4) 1.1.3  Monthly Repayment = 1 000 000 x 10,32  1CV 1 SF 1 000 1S = R10 320  (3) 1.1.4 R10 320 x 12 x 20  1M = R123 840 x 20  1S = R2 476 800,00  1S (3) 1.1.5 R2 476 800 – R1000 000  1CV = R1 476 800,00  1S (2) 1.2 1.2.1 6 brackets  2A (2) 1.2.2  1M = R39 667,69  1S (2) 1.2.3 Annual tax = 93 135 + 36% of (476 012,28 – 1M 393 200)  1S = 93 135 + 36% x (82 812,28)  = 93 135 + 29 812,42 1S = 117 194,42 p.a.  1M 122 947,42 – 13 257 (Rebate)  Monthly tax = 109 690,42 12 = R9 140,87  1A (5) 1.2.4  1SF = 7,5%  1A (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2015) MATHEMATICAL LITERACY P1 3 1.2.5 Tax threshold refers to the amount of earnings at 2 explanation which people start paying tax,  if you earn less than this amount a year, you do not pay tax.  (2) 1.3 1.3.1 R210,51 – R184,66  OR 184,66 x 14%  1M =R25,85  = R25,85  1S (2) 1.3.2 6 x 9,941230 + 4 x 10,136180 + 6 x 14,077830  1M = R59,65 + R40,54  + R84,47  3S = R184,66 (4) [33] QUESTION 2 [28] Question Solution Explanation Marks 2.1 2.1.1 24,5  2RD (2) 2.1.2 7,7 100 1M divide by 7,7 = 100  100 100 100 1S 0,077  (2) 2.1.3 0,077 x 13 570,84  1M = 1 044,95  1S = 1 045  1A (3) 2.1.4 61 x 1,05  1M = 64,05  1S = 64 050  1A (3) 2.1.5 1,05 hours x 60  = 63 minutes 1M = 1 hour 3 minutes  1S 17:24 - 1:03 16:21  1S OR 17:24 arrival time 24 = 0,4 hours  60 17hours + 0,4 hours = 17,4 hours -1,05 hours 16,35 hours  16 hours + 0,35 hours = 16 hours + 0,35 x 60 mins = 16 hours 21mins = 16:21  The time she left East London. (3) 2.1.6 Afternoon  2A (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2015) 2.2 2.2.1 Available drink = 15 x 2 1C = 30  1S Required drink = 250 x 116 = 29 000  1 000 1A = 29  It will be enough for all Grade 11 learners. (3) 2.2.2 x 250 = 166,67  1S [Difference] 1 subtraction 250 – 166,67  1A = 83,33  (3) 2.3 2.3.1 4 x 24  1M = 96 hours  1S (2) 2.3.2 8 471 x 0,6214 miles  1M 5 263,88 miles  1S (2) 2.3.3 radius = diameter = 9 = 4,5  1M 2 2 = 3,142 (4,5 )2  1SF 2 = 63,63  1S (3) [28] QUESTION 3 [23] Question Solution Explanation 3.1 3.1.1 GT 14  2A (2) 3.1.2 5  2A (2) 3.1.3 Glastonbury Road  2RM (2) 3.1.4 Albany Museum  2RM (2) 3.1.5 North West  2RM (2) 3.2 3.2.1 Draw Front Board  2RM (2) 3.2.2 7 and 19  2RM (2) 3.2.3 2  2RM (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2015) MATHEMATICAL LITERACY P1 5 3.2.4 47 : 1 755  = 1 : 40,8  1C 43 43 1CA (Accept 42 – 45 mm) (2) 3.2.5 9  2A (2) 3.2.6  3A =  or 15% or 0,15 (3)  [23] QUESTION 4 [38] Question Solution Explanation Marks 4.1 4.1.1 9 Provinces  2RT (2) 4.1.2 Northern Cape 2RT (2) 4.1.3 1 575 990  – 766 593  2 Correct = 809 397  values 1 CA (3) 4.1.4 A = 2 655 420 – (519 072 + 59 + 180 475 + 12 907 + 18 555 + 119 285)  1M = 2 655 420 – 850 353  1S = 1 805 067  1CA OR A = 11 302 312 – (883 802 + 766 593 + 279 724 + 999 473 + 1 650 665 + 2 702 811 + 1 575 990 + 638 187)  = 11 302 312 – 9 497 245  = 1 805 067 (3) B = 18 555 + 6 221 + 15 686 + 35 919 + 12 745 + 1Add 8 998 + 4 694 + 8 683 + 11 312  =122 813  1CA OR B = 16 156 984 – (2 991 791 + 407 + 1 122 334 + 86 970 + 530 357 + 11 302 312)  = 122 813  (2) C = 16 156 984 - (2 655 420 + 943 923 + 2 219 1M 842 + 3 812 820 + 2 253 114 + 1 343 612 + 1 135 208 + 1 362 695)  = 430 350  1A OR C = 774 409 + 11 + 48 473 + 5 304 + 4 694 + 1M 14 735 + 2 79724)  = 430 350 1A (2) Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2015) 4.1.5 Graph FS NC NW MP LP KZN EC GP WC 6 11 15 18 28 54 59 103 113 WAR VETERANS' GRANT PER PROVINCE 120 100 80 Total beeficiaries 60 40 20 0 FS NC NW MP LP KZN EC GP WC PROVINCES 1 Mark for 3 points correctly plotted = (3) 1 Mark for joining the points = (1) (4) Answer only full marks 4.1.6 6 : 18  2A 1:3  (2) 4.1.7 KwaZulu Natal (35 919)  2RT (2) 4.1.8 1 362 695 = One Million,  three hundred and sixty two 2A thousand, six hundred and ninety five  (2) 4.2 4.2.1 Coke (Summer) = 18 700  2RG (Accept 18 600 – 18 800) (2) 4.2.2 Autumn  and Winter  2RG (2) 4.2.3 Stacked bar graph or Stacked column graph or Stacked 2A graph  (2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/SEPTEMBER 2015) MATHEMATICAL LITERACY P1 7 4.3 4.3.1 1M   Mean = 2 526,05  1 division 7 By 7 = 360,86  1S = 361  1A (4) 4.3.2 Range = R1 200,00  – R250,00  2CV = R950,00  1CA (3) 4.3.3 R500,00  2A (2) [38] QUESTION 5 [28] Question Solution Explanation Marks 5.1 5.1.1 R17 500,00  2RG OR Venue A = R5 000 + R125(100) = R5 000 + R12 500  AO = R17 500,00  (2) 5.1.2 Venue C  2RG (2) 5.1.3 n = 6  2 RG OR (Trial and error) Answer only R4 000 : R2 500 + R250(2) = R3 000  Full marks R2 500 + R250(4) = R3 500 R2 500 + R250(6) = R4 000 AO n = 6 correct answer  (2) 5.1.4 (i) (20,7500)  2RM (ii) (90,25000)  2RM (iii) (160, 25000)  2RM (6) 5.1.5 R5 000,00  2A (2) 5.2 5.2.1 = (78,8 – 32)  1SF = 46,8 ÷ 1,8  1S = 26  1A (3) 5.2.2  1numerator =   1denominator 1S (3) Copyright reserved Please turn over

Downloaded from hlayiso.com 8 MATHEMATICAL LITERACY P1 (EC/SEPTEMBER 2015) 5.2.3 Impossible OR 0 %  2A (2) 5.3.1  1SF 1S = 6,14  = 7 minibus taxis  1S (3) 5.3.2 10,83 x 22,5 + 45 x 14  1M = R243,68 + R630  1A = R873,68  1S (3) [28] TOTAL: 150 Copyright reserved Please turn over