NATIONAL SENI CERTIICATE GRAE 12 ATHEATICAL LITERACY P 1 EBRUARY/ARCH 2018 ARKING GUIELINES ARKS: 150 SYBOL A CA A C S RT/RG S O P R NPR EXPLANATION ethod ethod with accuracy Consistent accuracy Accuracy Conversion Simplification Reading from a table/graph/diagram Correct substitution in a formula Opinion/Example/efinition/Explanation Penalty, e.g. for no units, incorrect rounding off, etc. Rounding off No penalty rounding or omitting units Answer only, full marks These marking guidelines consist of 12 pages.
athematical Literacy/P1 2 BE/eb. ar. 2018 arking Guidelines Question 1 [30arks] 1.1.1 3 1 2 years 2A numerical period Three and half a years 2A period in words 3 years 6 months 3,5 years (only 1 mark) 1.1.2 Total Repayment Cost = R1 078,26 42 /A = 45 286,92 1A multiply term by instalment 1CA Total cost rom Q1.1.1. 1.1.3 iscount = R29 999,00 15% 1 calc. discount 1.2.1 1.2.2 1.2.3 1.2.4 1.3.1 1.3.2 = R4 499,85 A : CB = 10,9 : 9,45 = 218 : 189 CA /A C = 125,92m (57,5 + 10,9 + 9,45) = 48,07m Radius = 4,73 m 2 = 2,365 m /A Total Cost = R97,56/m 57,5m = R5 609,70 C Range = 8 o C ( 7 o C) A = 15 o C 1A saving 1 ratio form 1CA simplified form Accept unit ratio (1: 0,87) (1,15 : 1) 1/A subtracting all lengths 1CA length 1 dividing by 2 1A simplification NPR 1/A multiply cost by correct distance 2A city 1A subtracting correct values 1CA temperature P
athematical Literacy/P1 3 BE/eb. ar. 2018 arking Guidelines 1.3.3 (a) B 2A city P 1.3.3 (b) Likely less likely 2A correct words P 1.4.1 Bar graph Single bar graph. Vertical bar graph 2A correct type Column graph 1.4.2 1.4.3 1.4.4 Three hundred and sixty one thousand nine hundred and forty eight. Q 5 Average time per mark = 180 min 150 A 2A number in words 2A correct question 1A numerator and denominator = 1,2 min Average time per mark = 3 hours 150 = 0,02 60 min A 1A numerator and denominator = 1,2 min 150 marks : 180 min A 1mark : 1,2 min 1A correct ratio [30]
athematical Literacy/P1 4 BE/eb. ar. 2018 arking Guidelines Question 2 [44 arks] 2.1.1 Stop order: an instruction to an employer or bank to pay / divert monthly or transfer regularly a certain amount to a person or an account. O Stop order: an instruction that an employee (individual) issue to the employer (bank) to make a series of future dated regular deductions O 2O explanation O Stop order: uture dated regular monthly deductions 2.1.2 2.1.3 /A ifference = R940 465,89 R536 523,25 = R403 942,64 C/A Number of years (2017 2029) = 12 /A 1/A subtraction of correct value 1/A calculating years Number of months in 12 years = 12 12 = 144 C A Number of months from 10 ay to 1 November = 6 1C converting years to months 1A additional months 2.1.4 Total number of contributions = 144 + 6 = 150 CA Total contribution value /A = (5 12) R740,22 RT 1CA total number of months. (4) 1/A multiplying (5 and 12) 1RT reading monthly contribution 2.1.5 = R44 413,20 a greater / an increased/ a higher / more/ bigger/ larger/ inflated / better 1CA total contribution NPR 2A correct missing words
athematical Literacy/P1 5 BE/eb. ar. 2018 arking Guidelines 2.1.6 A R740,22 + R740,22 8,5% 1A percentage = R740,22 + R62,9187 = R803,14 1 adding two values R740,22 108,5% = R803,14 A 1 multiplying 1A 108,5% 2.2.1 2.2.2 740,22 8,5% = 62,9187 A 803,14 62,9187 = 740,22 Hourly overtime rate = R17,76 1 1 A 3 = R23,68 A 2017 Sunday wage rate = 19,39 150% = R29,09 Total wage = 3 9 R29,09 = R785,43 1A percentage 1 subtracting values 1A hours 1CA rate 1A increasing by 150% 1A Sunday hourly rate 1A hours per day 1 multiplying 1CA wage A 2016 Sunday wage rate = R17,90 150% = R26.85 Total wage = 3 9 R26,85 = R724,95 1A increasing by 150% 1ASunday hourly rate 1A hours per day 1 multiplying 1CA wage NPR (5)
athematical Literacy/P1 6 BE/eb. ar. 2018 arking Guidelines 2.2.3 (a) 17,76 16,40 % increase 100% 1 percentage 16,40 1A correct values used = 8,29268.% 8,3% 19,39 17,90 % increase = 100% 17,90 = 8,324 % 8,3% R16,40 1,083 = R17,76 1 percentage 1A correct values used 1 percentage 1A correct values used R17,90 1,083 = R19,39 R17,76 1,083 = R16,40 R19,39 1,083 = R17,90 2.2.3 (b) A 108,3% = 21,93 RT 1 percentage 1A correct values used 1 percentage 1A correct values used 1 percentage 1A correct values used 1RT reading values A = A = 21,93 108,3% = R20,25 RT 21,93 1,083 1 dividing by 108,3% 1CA amount 1RT reading values 1 dividing by 108,3% = R20,25 1CA amount
athematical Literacy/P1 7 BE/eb. ar. 2018 arking Guidelines 2.2.4 2017 Total Weekly Wage A RT = (6 9 R17,76) + (9 150% R17,76) = R959,04 + R239,76 = R1 198,80 1RT reading value from the table 1A multiply with no. of days and hours 2.3 2016 Total weekly wage A RT = (6 9 R16,40) + (9 150% R16,40) =R1 107,00 Total Income for the day = 7 R70 + 35 R50 + 4 R75 = R490 + R1 750 + R300 = R2 540 RT 1RT reading value from the table 1A multiply with no. of days and hours 2RT correct values 1 multiply price by vehicle type 1CA total income Income from bakkies = 7 R70 = R490 Income from Cars = 35 R50 = R1 750 Income from minibus = 4 R75 = R300 Total Income = R2 540 1A bakkies 1A cars 1A minibus 1CA total income (4)
athematical Literacy/P1 8 BE/eb. ar. 2018 arking Guidelines 2.4.1 Employer provides people job/work for pay O Employer is the company/individual who offers work opportunities for pay. O 2O explanation 2.4.2 Employer owner of the company O O O Get a few months reduced income after termination of work. O To give employee a short-term financial relief should he/she become unemployed. O 2O reason 2.4.3 (a) O O ake provision for some income when a person becomes unemployed or retrenched or retired from work. RT B = R6 272,16 (R1 184,40 + R350,88) = R4 736,88 1RT amounts 1 subtracting 1CA value of B 2.4.3 (b) RT B = 9 6 4 21,93 = R4 736,88 1% of gross salary = R6 272,16 R6 209,44 A = R62,72 Total UI amount = 2 R62,72 = R125,44 Total UI amount = 2 (1% of R6 272,16) = 2 R62,7216 A = R125,44 Total UI amount = 2% of R6 272,16 = R125,44 A 1RT amounts 1 multiplying all values 1CA value of B Accept B = (R5 131,62 If 26 days used) 1A subtracting correct values 1A simplification 1CA total amount payable 1A calculating 1% 1A 2 contributions 1CA amount 2A Calculating 2% of salary 1CA amount [44]
athematical Literacy/P1 9 BE/eb. ar. 2018 arking Guidelines QUESTION 3 [25 ARKS] RT RT RT RT 3.1.1 6 months to 2 years. ( ½ year to 2 years) 2RT age 6 months to 24 months Accept 23-24 months RT RT 3.1.2 8 kg RT 2RT mass/weight 3.1.3 12 months to 15 months RT 2RT (one age in this range) 3.1.4 ebruary 2Acorrect month 3.1.5 3.2.1 3.2.2 3.3.1 3.3.2 weight (in kg) BI = 2 (height in m) 19,5 kg/m 2 11,2 = 2 (height in m) 11,2 Height = 19,5 istance = = 0,758 m 55 litre 7,6 litre = 723,68 724 km 100 km A S 189 Average speed = = 01h45 = 108 km/h 189 1,75 S Volume = 53,34cm 17,78cm 42,32 cm = 40 135,66 cm 3 CA 40 135, 66 = litres 1000 A = 40 litres R 3 12 P (U) = or 12 48 = 0,25 CA A A CA R S CA A C 1S correct values 1 new subject 1 finding sq. root 1A multiply by 100 1A divide by 7,6 1R distance 1C to hours 1S correct values 1CA Average speed 1S correct substitution 1CA volume 1A dividing by 1 000 1R volume in litres 1A numerator 1A denominator 1CA decimal (4) (4) L3 P [25]
athematical Literacy/P1 10 BE/eb. ar. 2018 arking Guidelines QUESTION 4 [19 ARKS] 4.1.1 A A P N10 and N2 1A N10 1A N2 RT 4.1.2 ountain Zebra N.P 2RTcorrect name 4.1.3 4.1.4 Kirkwood RT istance = 25 km + (207 km 22 km ) + 24 km = 234 km CA 2A correct hometown 1RT correct distances 1 adding 1CA difference P P P RT istance = 24 km + ( 380 km 195 km ) + 25 km 1RT correct distances 1 adding = 234 km 1CA difference 4.2.1 3750 mm A 2A distance 4.2.2 Total exterior length of western wall = 3 550 mm + 3750 mm = 7 300 mm = 7,3 m C Total exterior length of western wall = 3, 55 m + 1, 7 m + 2, 05 m = 7, 3 m C 4.2.3 Living room. A CA 4.2.4 Bedroom 2 A 2A room A 4.2.5 Wash basin/sink/water basin Shower Cupboard 1A adding 3 correct distances 1C conversion to m 1A adding correct distances of Eastern wall (opp. Side //) 1C conversion to m 2A (Passage and/or Kitchen maximum 1 mark) 2A any item P P P P P [19]
athematical Literacy/P1 11 BE/eb. ar. 2018 arking Guidelines QUESTION 5 [32ARKS] 5.1.1 Numerical 2A answer 5.1.2 50% 2A answer 5.1.3 Range = aximum - minimum 1 range concept (can be implied) 34 = 90 RT 1RT correct values = 90 34 = 56 5.1.4 67 69 edian % = 1 concept of median 2 1A median = 68 5.1.5 Inter-quartile range = Q 3 - Q 1 1 IQR concept(implied) Inter-quartile range = 70 20 RT 1RT correct values = 50 CA 5.1.6 66 2A mode 5.1.7 ean = 70 = sum of the marks total number of learners 1741 H 26 A 1A mean concept (implied) 1A adding values L3 1 820 = 1 741 + H H = 79 5.1.8 13 P (equal marks) = 26 A 1 = 2 1CA value of H 1A numerator 1A denominator P L3
athematical Literacy/P1 12 BE/eb. ar. 2018 arking Guidelines 5.2.1 A Q = 288 912 + 393 954 + 94 552 + 192 933 + 650 033 + 1A adding all Nonliterate 299 994 + 575 371 + 312 273 + 372 090 adults 5.2.2 = 3 180 118 A Q = 15 353 036 12 172 919 = 3180 118 RT 12172 919 % literate = 100 15 353 036 79,3 CA 1CA Simplification 1A subtracting Literate from Total 1RT numerator and denominator 1 multiply by 100 1CA answer % literate = 100 - ( 3 180 118 15 353 036 100-20,71 RT 100) 1RT numerator and denominator 1 multiply by 100 5.2.3 79,3 CA Non Literate: Literacy 1CA answer NPR = 650 033:1 956 497 RT 1RT both values = 650 033 650 033 1956 497 : 650 033 = 1 : 3,009842577 A 1A ratio in correct order 5.2.4 5.2.5 1 : 3 or 1 : 3,01 or 1 : 3,0099 A 244 282; 609 029; 760 029;784 347; 922 171; 1 120 567; 1 762 494; 1 956 497; 4 013 463 Northern Cape (NC) CA CA unit ratio NPR 2A arranging (escending 1 ark; Omitting 1 value 1 mark) 2A correct province [32] TOTAL: 150