Mlit P2 Memo Eng hlayiso.com

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 12 JUNE 2016 MATHEMATICAL LITERACY P2 MEMORANDUM MARKS: 100 Symbol Explanation M Method MA Method with accuracy CA Consistent accuracy A Accuracy C Conversion S Simplification RT/RG Reading from a table/Reading from a graph 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 P2 (EC/JUNE 2016) QUESTION 1 1.1 1.1.1 Transfer cost  Registration of deed of sale  2A Additional Accept any other relevant answer Cost 1.1.2 Amount borrowed = 980 000 x 1,1  1M using = R 1 078 000  980 000 OR 1M using = 980 000 + (980 000 x 0,1)  110% = 980 000 + 98 000 1CA = R 1 078 000  OR PS: If = 0,98 x 1,1 learners use = R 1,078 million 0,98, OR penalise with = 0,98 + (0,98 x 0,1) 1 mark if = 0,98 + 0,098 final answer = R 1,078 million is not in million 1.1.3 It is accessible  OR close to shops , hospital and 2A Reason schools OR the house has a lot of features  for an ideal Accept any other relevant answer place 1.2 1.2.1 (a) Monthly repayment = Bond Amount x Factor CA from 1 000 1.1.2 = 1 078 x 8,41  1M Amount = R 9 065,98  divided by 1 000 1RT using correct factor 1CA (b) Real Cost = 9 065,98 x 30 x 12  2MA = R 3 263 752,80  multiplying with 30 and 12 1CA (c) Interest = R 3 263 752,80 - R 1 078 000  1M = R 2 185 752,80  Subtracting 1CA 1.2.2 Percentage interest = 2 185 752,80 x 100  CA from 1.2 3 263 752,80 1M = 66,97%  1A Accept 67% Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P2 3 1.2.3 At the same interest rate, the longer the loan period, the 2A Monthly smaller the factor value which imply that the monthly repayments repayment will be less  and the real cost will be less higher.  2A Real cost more Learner must refer to both repayments Accept any logical explanation and real cost 1.2.4 At different interest rates, the factor values increase, 2A Monthly therefore the monthly repayments  will increase as well repayments as the real cost  more 2A Real cost more Learner must refer to both repayments Accept any logical explanation and real cost 1.3 1.3.1 It means that 90% of the house prices for each of the years shown was lower than the price indicated on that line  2A 1.3.2 30%  2A 1.3.3 25%  2A 1.3.4 Over the various years the house prices remained more or less the same.  2A 1.3.5 Price prediction for 2016 = 1 200 000  x 1,066 1RG Correct = R 1 279 200  value 2017 = 1 279 200 x 1,066 1CA Price = R 1 363 627,20  for 2016 OR 1CA Price 2016 = 1 200 000 + (1 200 000 x 0,066) for 2017 = 1 200 000 + 79 200 = R 1 279 200 2017 = 1 279 200 + (1 279 200 x 0,066) = 1 279 200 + 84 427,20 = R 1 363 627,20 [36] Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P2 (EC/JUNE 2016) QUESTION 2 2.1 2.1.1 Length of 1 post = 0,4 m + 8 cm + 1,3 m + 6 cm  1A Using = 40 cm + 8cm + 130 cm + 6 cm  correct = 184 cm  values 1C Conversion 1A Total of values 2.1.2 For the gate to open en close properly without any obstructions. 2R 2.1.3 Vertical height = Vertical plank – (18 cm x 2)  1SF = 130 cm – 36 cm  1M = 94 cm  Subtracting 18 x 2 from Length of diagonal plank = Vertical height2 + Width of the vertical gate2 plank = 942 + 1262 1CA = 8 836 + 15 876  1SF = √24712 1S = 157,200…. cm  1A finding = 1,572 m  the square root 1CA answer in meters 2.1.4  Dig the holes for the posts   Plant the poles in the holes   Attach the horizontal and diagonal planks with screws  5A  Attach the vertical planks to the horizontal and 1 mark for diagonal planks with screws  each  Attach the gate to the posts with hinges  construction OR  Attach the horizontal and diagonal planks with NB The screws chronological  Attach the vertical planks to the horizontal and order is diagonal planks with screws  important  Dig the holes for the posts   Plant the poles   Attach the gate to the posts with hinges  Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P2 5 2.2 2.2.1 Sakhiswa Minimum R 5000 Maximum R 65 000 High School Aphiwe Minimum R 15 000 Maximum R 60 000 Secondary School Range (Sakhiswa) = 65 000 – 5 000  1RD Correct = R 60 000  values (all min & max) Range (Aphiwe) = 60 000 – 15 000 1MA Range = R 45 000  1MA Range 2.2.2 The box-and-whisker plot for Sakhiswa is longer than that of Aphiwe  2A 2.2.3 The bottom 75% is much more spread out than the top 25%  2A 2.2.4 IQR for Sakhiswa = R 40 000 – R 15 000  1M Concept = R 25 000  of IQR IQR for Aphiwe = R 45 000 – R 25 000 1A = R 20 000  1A The IQR for Sakhiswa is greater.  2O OR The IQR for Aphiwe is smaller. 2.2.5 Aphiwe Secondary School   The minimum profit is higher  OR  The IQR is smaller  OR 2A Correct  The bottom 75% profits are higher  Choice OR 2R Reason  Range is smaller OR  Median is greater  [33] Copyright reserved Please turn over

Downloaded from hlayiso.com 6 MATHEMATICAL LITERACY P2 (EC/JUNE 2016) QUESTION 3 3.1 3.1.1  It shows a particular route  OR  It shows places that you can pass through  OR  It gives distances between places  OR  It shows places where you can stop at  OR  It shows the shortest routes  2A 3.1.2 Distance = 480 km – 375 km  1RM Correct = 105 km  distances OR 1A Distance = 157 km – 52 km  = 105 km  3.2 3.2.1 Distance to Harare = 532 km + 446 km  1M Adding = 978 km  1A Liters used for trip = 7,5 / 100 1CA Number = 0,075 x 978 km of litres = 73,35 l  needed 23 February 2016 Cost = 73,35 x 12,15  1RT correct = R 891,20  fuel price 1A cost in 2 March 2016 Rand and Cost = 73,35 x 11,46 cents = R 840,59  1A fuel cost Difference = R 891,20 - R 840,59 1CA finding = R 50,61  the She paid less in March, because the petrol price decreased. difference  1O 3.2.2 No  1A  Fees for travelling through toll plazas or toll ramps 2A first factor  1A Second  Border post fees  factor [16] Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/JUNE 2016) MATHEMATICAL LITERACY P2 7 QUESTION 4 4.1 4.1.1 Percentage population = Males + Female 1RD Correct = 4% + 4%  values = 8%  1A Accept 7,8% - 7,9% 4.1.2 France has a narrow base  1A which refers to a low birth rate, Description while India has broad base of base for due to a high birth rate France 1O Reason for base 1A Description of base for India 1O Reason for base 4.2 4.2.1 Measure dimensions: 2M Length = 6 cm  (accept 5,9 cm – 6,1 cm) Measuring Width = 3,9 cm  (accept 3,8 cm – 4 cm) both Dimensions Actual length = 6 x 23  1M Using the = 138 cm  scale 1CA Length Actual width = 3,9 x 23 = 89,7 cm  1CA Width Area = 138 cm x 89,7 cm = 12 378,60 cm2  1CA Area 4.2.2 7 shades of red 7 shades of yellow P(red and yellow) = 7 + 7 1A 35 35 Numerator = 14  x 100% 1A 35  Denominator = 40%  1CA as a % [15] TOTAL: 100 Copyright reserved Please turn over