Mathematical Literacy Grade 11 P1 North West June 2017 Memo

Mathematical Literacy/P1 Memorandum NW/June 2017 NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICAL LITERACY P1 JUNE 2017 MEMORANDUM MARKS: 75 Symbol Explanation M Method CA Continuous accuracy A Accuracy C Conversion S Simplification RT/RG/RM Read from Table / Read from graph/ Read from Map SF Substitution in formula O Opinion/Example / Deduction/conclusion P Penalise for example no units / incorrect rounding etc R Rounding J Justification/ Motivation/ Supply a Reason F Formula 1

Mathematical Literacy/P1 Memorandum NW/June 2017 Question 1 [32] EXPLANATION TL 1.1.1 R9 400, 00 + R1 500,00ü 1M Addition 1 = R10 900,00 ü 1Answer (2) 1.1.2 Fixed expenses 2 Reading from the table 1 Rent, Car repayment, Insurance, Magazine subscription and Medical contributionüü (2) 1.1.3 1M Subtraction 3 Balance = Income – Expenses 1 Answer R 10 900 – R 10 701,15ü 1Conclusion =R198,85ü She will not have enough money leftü (3) 1.1.4 Magazine subscription, entertainment, groceries, cosmetics, 1Answer 1 electricity, petrol, insurance, entertainment, üü 1 Answer (2) 1.1.5 2Method of diving 1 R 999 1Multiplying by 100% × 100 %ü R 10 900 1Answer = 9,17%ü (3) 1.2.1 Income = 120× nü ü 2Formula 2 (2) 1.2.2 Total costs = R (40× 50ü) + R330ü 2Substitution = R2 300,00ü 1Answer (3) 1 1.2.3 Total income = R120 × 50ü 1Substution 1 = R6 000,00ü 1Answer (2) 1.2.4 Profit = Income – Costsü (3) 2 = R6 000,00 – R2 300,00ü = R3 700,00ü 2

Mathematical Literacy/P1 Memorandum NW/June 2017 1.3.1 Graph Cost graph 1M (0, 330) 1M labelling Income and Costs of T-shirts 1M joining 1M any correct point 3000 2500 Income graph 1M (0,0) 2000 1M labelling Amount in (R) INCOME 1M joining 1500 COSTS 1M any correct point 1000 500 0 0 5 10 15 20 25 Number of T-shirts (8) 1.3.2 5 t-shirtsüü 2 Answer (2) Question 2 [18] 2.1.1 Thursdayüü 2Reading from the table 1 Friday üü 2Reading from the table (4) 2.1.2 Mathematics 3 periodsü 1Reading from the table 45× 3 = 135ü minutes 1Multiplication Accounting 1 periodü = 45 minutes 1Reading from the table 2 Total time spent = 135 + 45ü = 180 minutesü 1addition 1Answer (5) 2.2.1 Volume of a cylinder = π r 2 × h 1substitution 3 3, 142×(0,8m)2× 1,6 m ü 1Radius 3,22m3ü 1Answer = 3,22 klü 1Conversio (4) 2.2.2 SA of a cylinder = 2 π r 2 + 2 π rh 2 substitution 2 = 2 × 3,142 × ( 0,8 m ) ² + 2× 3,142× 0,8 m × 1,6 m 1Radius = 4,0217m²ü + 8,04352m²ü 1Addition of two values = 12,07m² ü 1Answer (5) Question3 [14] 3.1 R8 000,00üü 2Reading from the table 2 3.2 R700, 00üü 2Reading from the table 2 3

Mathematical Literacy/P1 Memorandum NW/June 2017 (2) 3.3 NO. üOne should earn atleast R2 500, 00 to qualifyüü 2 Conclusion (3) 1 3.4 R355ü × 12ü 1Reading R355 from table 1 = R4 260,00ü 1Multiplying by 12 1Answer (3) 3.5 Interest for the 1st year 1Multiplication 3 18 1Answer R3 000,00 × ü 100 1Multiplying by 3 = R540, 00ü 1Answer Interest over 3 years ( 4) R540, 00 × 3 = R1 620,00ü Question 4 [11] 4.1 The distance of the callü 2M 1 The duration of the callü (2) 4.2 Cost of call 1Substitution 2 = Fixed charge + (Rand per second× number of seconds 1Simplification R0,570 + (R0, 00700)× 1000ü 1Answer R0,570 + R7ü (3) = R7,57 ü 4.3 1000 1Conversion 1 = 60 1Simplification 16, 66ü minutes≈ 1Answer 17 minutesü (3) 4.4 £1 = R17,17 2Substitution 1 R 25 000 üü= £1 456,03ü 1Answer R 17,17 (3) 4