Mathematical Literacy Grade 11 P1 North West June 2019 Memo

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 MATHEMATICAL LITERACY P1 JUNE EXAMINATION MEMO 2019 MARKS: 75 Symbol Explanation M Method CA Continuous accuracy 2018 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 Demo NW/JUNE/MATLIT/ EMIS/6******* 1

Downloaded from hlayiso.com QUESTION 1 [15] OUES SOLUTIONS EXPLANATIONS L1-4 1.1.1 Rent  1 Cell phone contract 2A (2) 1.1.2 R 250 ,00 × 4 = R 1 000, 00 1M 2 R 1 000, 00 + R 600, 00 1M R 1 600,00 1A (3) 1.1.3 B = R150, 00 + R 500,00 + R 300,00+ R 120,00  1M 2 = R 1 070,00 1A (2) 1.1.4 1M 3 1 070,00 1A × 100 1R 1 600,00 = 66,875% = 67% (3) 1.2.1 4:30 – 9:00 1M 2 = 5hours 30minutes 1A (2) 12.2 5hours× 60minutes = 300minutes 1M 3 300minutes + 30minutes 1M = 330minutes 1A (3) QUESTION 2 [19] 2.1.1 Cost = R450 +(R4×number of loaves) 2Correct formula 2 (2) 2.1.2 Value for A= R450 + (R4 ×300) 1 Substitution = R1 650,00 1 Answer 2 Value for B= R6.50 × R180 1 Substitution =R1 170,00 1 Answer (4) 2.1.3 1 Substitution Cost of 50 loaves = R450 + ( R4 × 50) 1 Answer (2) = R650,00 Demo NW/JUNE/MATLIT/ EMIS/6******* 2

Downloaded from hlayiso.com Graph: See attached page 1 heading 2 1 A (0;450) 1 A (0;0) 1 breakeven point 1 labelling both axis 1 labelling both graphs 1A joining the points (7) 2.1.5 Coordinates (180; R1 170) 2 coordinates It means that both cost and income for baking and selling 2 Meaning 2 180 loaves is the same amount which is R1 170.  (4) QUESTION 3 [20] 3.1.1 Two items  2A 1 (2) 3.12 33 1M R 499, 00 × 100  1M 2 R 164, 00 (2) 3.1.3 Total including VAT 1Mmultiplication 15 1Maddition R 768,00 × 100  1Aanswer 2 = R 115, 20 + R 768,00 = R 883,40  (3) 3.2.1 Cost of water used 1Multiplication 6kl = R0, 00 1Aanswer 2 24kl × 6,48 = R155, 52 1Aanswer 5kl × 16,20 = R81,00 1Maddition R155, 52 +R81,70 =R236,52 1Madding R80,70 R236,52 + R80,70 + R17,15 1Madding R17,15 = R324,37  1Aanswer (7) 3.2.2 15 1Mmultiplication New price = R80,70 × 100 = R 12,01 1Maddition 2 = R80,82 + R12,01 1Aanswer = R 92,81 (3) 3.3 7,5 1𝑠𝑡 𝑦𝑒𝑎𝑟 = ( × R120 000,00) + R 120 00,00  100 Demo NW/JUNE/MATLIT/ EMIS/6******* 3

Downloaded from hlayiso.com = R129 000, 00 1Multiplication 1Aanswer 3 1Aanswer 7,5 1Aanswer 2𝑛𝑑 𝑦𝑒𝑎𝑟 = × R129 000,00 + R129 000, 00 100 = R138 675,00  7,5 3𝑟𝑑 𝑦𝑒𝑎𝑟 = 100 × R139 675,00 + R139 675,00 = R149 075,63  (4) QUESTION 4 [15] 4.1.1 14 1dividing by 2 Radius = 2  1Aanswer 1 = 7cm (2) 4.1.2 1Substitution 𝑉𝑜𝑙𝑢𝑚𝑒 = 𝜋𝑟 2 × h 1Aanswer V= 3,142 × (7𝑐𝑚)2 + 24 𝑐𝑚2  1M 3 V = 3694,99 c 𝑚3  1A V= 3694.99 c 𝑚3 - 3456 c 𝑚3  V= 238.99 𝑚3  (4) 4.1.3 Volume = (𝑠𝑖𝑑𝑒)2 × height 1S = 3456 c 𝑚3 = (𝐴)2 × 24cm 1M (𝐴)2 = 3456 c𝑚3 ÷ 24cm 1M (𝐴)2 = 144 𝑐𝑚3 1A 3 (𝐴)2 = √ 144 A = 12  (4) 4.2.1 Boipelo nature reserve (2) 2A 1 4.2.2 N 12, N 14 and N 4 (3) 3A 1 4.2.3 Turn into R505 and continue until you reach 2 Lichtenburg. Turn into R52 and join N14 and continue until you reach Sannieshof.   (6) Demo NW/JUNE/MATLIT/ EMIS/6******* 4

Downloaded from hlayiso.com Cost and Income of loaves of Bread 2500 2000 1500 Costs Cost in rands 1000 500 0 0 60 120 180 240 300 Number of loaves of bread Demo NW/JUNE/MATLIT/ EMIS/6******* 5