Mathematical Literacy Grade 11 P1 2016 Memo (Eng)

Downloaded from hlayiso.com NATIONAL SENIOR CERTIFICATE GRADE 11 NOVEMBER 2016 MATHEMATICAL LITERACY P1 MEMORANDUM MARKS: 100 This memorandum consists of 4 pages.

Downloaded from hlayiso.com 2 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) KEY Symbol Explanation M Method A Accuracy CA Consistent accuracy RT/G/M/ Reading from the table/graph/map/plan SF Substitution in a formula S Simplification P Penalty (no units, incorrect rounding etc.) QUESTION 1 [23] Q Solution Explanation Mark 1.1.1 Bennie’s Service Station Motors Buffalo City  2M L1(2) 1.1.2 A= R3 390,96 –R2 093,46  1RT = R1 297,50  1A L1(2) 1.1.3 𝑅 1 234,96 1M numerator and  × 100  denominator 𝑅2 469,92 1M multiply by 100 = 50% L2(2) 1.1.4 R212,82 + R4,99 + R75,87 + R697,13 + 1M R2 469,92 + R726,16  = R4 186,89  1CA if one value is omitted or R159,50 is added L1(2) 1.1.5 B = VAT = R3 390,96 × 14% 1M = R474,73  1A OR B = R3 865,96+R0,09 – R3 390,96 = R 474,73 L1(2) 1.1.6 R2 469,92 – R4,99  1 Correct values = R2 464,93 1M 1CA L1(3) 1.2.1 Opening balance is the balance that is 2A reflected or displayed on the first day listed in Explanation the statement before any other transactions. L1(2) 1.2.2 9,50 1M dividing by 500 × 100 = 0,019 × 100 = 1,9% 1M 500 1CA when the different value from the statement is used L1(3) 1.2.3 R110,00 + R55,00+R1,10 × 2 1M R165,00 + R2,20 1S = R167,20 1CA L2 (3) 1.2.4 Eighteen Thousand, Five Hundred  2A expanding and Eighty Two Rand, and Seven Cents L1(2) Copyright reserved Please turn over

Downloaded from hlayiso.com (EC/NOVEMBER 2016) MATHEMATICAL LITERACY P1 3 QUESTION 2 [19] Q Solution Explanation Mark 2.1.1 Length= 30 ft 2 RD Width = 25 ft L1(2) 2.1.2 30 ft × 25 ft  30 ft = 9,1435 1M = 750 ft 2 OR 25 ft = 7,6196 1S 750ft2 = 10,764 A = 9,1435 × 7,6196 1 M Dividing by 10,764 = 69,6698 m2 1CA = 69,68 m2  = 69,67 m2 (Accept 69,677 𝑚2 ) L2 (4) 2.1.3 20 × 15 1M numerator Amount of fertiliser = 1M denominator 100  300 ft2 1S = 100ft2  1M Multiply by 2 = 3 × 2  pounds 1CA = 6 pounds  OR 2 pounds × 3 = 100 ft 2 × 3 6 pounds  = 300 ft 2  L2 (5) 2.1.4 0,15 × 2  1M Multiply by 2 = 0,3  1A 1 1A Approximately = 3 cup  OR 1 = 6,66666667 0,15 2 Therefore 0,666666667  = 0,3 cups = ⅓ cup  L1(3) 2.2.1 Morning + Evening (10𝑚ℓ + 15𝑚ℓ + 10𝑚ℓ )  × 2 2M = 35𝑚ℓ × 2 = 70 𝑚ℓ 1CA L1(3) 2.2.2 10 𝑚ℓ + 10 𝑚ℓ = 20 𝑚ℓ 1M 1A L1(2) QUESTION 3 [19] Q Solution Explanation Mark 3.1.1 4 2 RT L1(2) 3.1.2 Water monitoring station  2 RT L1 (2) 3.1.3 MA-1  2 RT L1(2) 3.1.4 103 mm  (10,3 cm) 2 RT L1(2) 3.1.5 10,3 × 250 000 1C 100 000 1 Division = 25,75 km 1CA L3(3) 3.2.1 Table B (Accept H/I) 2A RP L1(2) 3.2.2 South East  2A RP L1(2) 3.2.3 Impossible/Zero/0% 2A L1(2) 3.2.4 Table C  2RP L1(2) Copyright reserved Please turn over

Downloaded from hlayiso.com 4 MATHEMATICAL LITERACY P1 (EC/NOVEMBER 2016) QUESTION 4 [27]  Q Solution Explanation Mark 4.1 32,49; 29,63; 23,62; 17,89 ; 14,59; 12,03; 10,31; 9,89; 9,57 2M L1(2) 4.2 Median=R14,59 2M L2(2) 4.3 Range=R 33,73 – R9,68 =R24,05  2RT L2(3) 4.4 R-3,32  2M L1(3) 4.5 Margarine 500g 2 RT L1(2) 4.6 No Mode  2RT L2 (2) 4.7 Area Margarine Rice Sunflower Ceylon Tea White Sugar Urban 21,68 23,45 17,25 9,68 26,31 Urban food prices    Prices in Rands    Selected food items 1mark per food item correctly plotted × 5 = 5 marks + 1 = 6 marks 1mark for correct graph L2(6) 4.8 Rural area people pay more or less on certain 2A Explanation items  L3(2) 4.9 0,56 + 0,72 + 1,11 + 1,24 + 3,79 + (-0,17) + 2,66 + 1M (-0,21) + (-3,32)  1Dividing R6,38 1CA  = 𝑅0,71 L2(3) 9 4.10 2 1numerator × 100 = 22,2% = 22%  1denominator 9 1CA L2(3) QUESTION 5 [12] Q Solution Explanation Mark 5.1 R36,99  2RT L1(2) 5.2 R200,00  2 RT L1(2) 5.3 𝑅278,78 1M dividing by 13  = R21,44  = R20,00 13 1S 1A L1(3) 5.4 6 × R17,99 OR 17,99 1A for 6 1M ÷ 1,14  = 15,78  × 6 𝑅107,94  1,14 = = R94,68 1CA 1,14  = R94,68  L2(3) 5.5 R99,98 1M  = R49,99 2 1A L1(2) 5.6 Total = 22,49 + 29,26 + 25,59 + 99,98 + 22,00 + 1M 17,99 + 9,99 + 13,49 + 1,00  = R241,79  1CA OR Total = 478,78 – 200 – 278,78 = R241,79 L2(2) TOTAL: 100 Copyright reserved Please turn over