NATIONAL SENIOR CERTIFICATE GRADE 12

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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

1 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.

2 athematical Literacy/P1 2 BE/eb. ar arking Guidelines Question 1 [30arks] years 2A numerical period Three and half a years 2A period in words 3 years 6 months 3,5 years (only 1 mark) Total Repayment Cost = R1 078,26 42 /A = ,92 1A multiply term by instalment 1CA Total cost rom Q iscount = R29 999,00 15% 1 calc. discount = 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

3 athematical Literacy/P1 3 BE/eb. ar arking Guidelines (a) B 2A city P (b) Likely less likely 2A correct words P Bar graph Single bar graph. Vertical bar graph 2A correct type Column graph 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]

4 athematical Literacy/P1 4 BE/eb. ar arking Guidelines Question 2 [44 arks] 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 /A ifference = R ,89 R ,25 = R ,64 C/A Number of years ( ) = 12 /A 1/A subtraction of correct value 1/A calculating years Number of months in 12 years = = 144 C A Number of months from 10 ay to 1 November = 6 1C converting years to months 1A additional months Total number of contributions = = 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 = R44 413,20 a greater / an increased/ a higher / more/ bigger/ larger/ inflated / better 1CA total contribution NPR 2A correct missing words

5 athematical Literacy/P1 5 BE/eb. ar arking Guidelines 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% ,22 8,5% = 62,9187 A 803,14 62,9187 = 740,22 Hourly overtime rate = R17, 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)

6 athematical Literacy/P1 6 BE/eb. ar arking Guidelines (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, (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

7 athematical Literacy/P1 7 BE/eb. ar arking Guidelines 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 Total weekly wage A RT = (6 9 R16,40) + (9 150% R16,40) =R1 107,00 Total Income for the day = 7 R R R75 = R490 + R 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 = R A bakkies 1A cars 1A minibus 1CA total income (4)

8 athematical Literacy/P1 8 BE/eb. ar arking Guidelines Employer provides people job/work for pay O Employer is the company/individual who offers work opportunities for pay. O 2O explanation 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 (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 (b) RT B = ,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]

9 athematical Literacy/P1 9 BE/eb. ar arking Guidelines QUESTION 3 [25 ARKS] RT RT RT RT months to 2 years. ( ½ year to 2 years) 2RT age 6 months to 24 months Accept months RT RT kg RT 2RT mass/weight months to 15 months RT 2RT (one age in this range) ebruary 2Acorrect month 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, km 100 km A S 189 Average speed = = 01h45 = 108 km/h 189 1,75 S Volume = 53,34cm 17,78cm 42,32 cm = ,66 cm 3 CA , 66 = litres 1000 A = 40 litres R 3 12 P (U) = or = 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 R volume in litres 1A numerator 1A denominator 1CA decimal (4) (4) L3 P [25]

10 athematical Literacy/P1 10 BE/eb. ar arking Guidelines QUESTION 4 [19 ARKS] A A P N10 and N2 1A N10 1A N2 RT ountain Zebra N.P 2RTcorrect name 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 mm A 2A distance Total exterior length of western wall = mm mm = mm = 7,3 m C Total exterior length of western wall = 3, 55 m + 1, 7 m + 2, 05 m = 7, 3 m C Living room. A CA Bedroom 2 A 2A room A 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]

11 athematical Literacy/P1 11 BE/eb. ar arking Guidelines QUESTION 5 [32ARKS] Numerical 2A answer % 2A answer Range = aximum - minimum 1 range concept (can be implied) 34 = 90 RT 1RT correct values = = edian % = 1 concept of median 2 1A median = Inter-quartile range = Q 3 - Q 1 1 IQR concept(implied) Inter-quartile range = RT 1RT correct values = 50 CA A mode ean = 70 = sum of the marks total number of learners 1741 H 26 A 1A mean concept (implied) 1A adding values L = H H = P (equal marks) = 26 A 1 = 2 1CA value of H 1A numerator 1A denominator P L3

12 athematical Literacy/P1 12 BE/eb. ar arking Guidelines A Q = A adding all Nonliterate adults = A Q = = RT % literate = ,3 CA 1CA Simplification 1A subtracting Literate from Total 1RT numerator and denominator 1 multiply by 100 1CA answer % literate = ( ,71 RT 100) 1RT numerator and denominator 1 multiply by ,3 CA Non Literate: Literacy 1CA answer NPR = : RT 1RT both values = : = 1 : 3, A 1A ratio in correct order : 3 or 1 : 3,01 or 1 : 3,0099 A ; ; ; ; ; ; ; ; Northern Cape (NC) CA CA unit ratio NPR 2A arranging (escending 1 ark; Omitting 1 value 1 mark) 2A correct province [32] TOTAL: 150

NATIONAL SENIOR CERTIFICATE GRADE 12

NATIONAL SENIOR CERTIFICATE GRADE 12 NATIONAL SENI CERTIICATE GRAE 12 MATHEMATICAL LITERACY P2 NOVEMBER 2016 INAL MARKING GUIELINE MARKS: 150 Symbol M MA CA A C S RT/RG/R S O P R NP AO J Explanation Method Method with accuracy Consistent