Maths Lit P2 June 2014 Memo hlayiso.com

Downloaded from hlayiso.com MATHEMATICAL LITERACY P2 COMMON TEST JUNE 2014 MEMORANDUM NATIONAL SENIOR CERTIFICATE GRADE 12 SYMBOL EXPLANATION M Method MA Method with accuracy CA Consistent accuracy A Accuracy C Conversion S Simplification RT/RG Reading from the table/ reading from the graph SF Substitution in the formula O Opinion R Rounding off F deriving a formula MARKS: 100 TIME: 2 hours This memorandum consists of 9 pages.

Downloaded from hlayiso.com Mathematical Literacy P2 2 Common Test June 2014 Gr.12 - MEMO QUESTION 1 1.1.1 72 1A substitution (a) BMI = √ 1.7 x1.7 1CA simplification (2) =24.9√ 65 (b) BMI = √ 1.5 x1.5 1A substitution 1A simplification (2) = 28.9√ 1.1.2 W 2 =method BMI = H2 69 27 = 1 = CA H2  27H 2 69  27 27 H2 = 2,56 H2 = 2,56  H = 1,6 (3) 1.2.1 Normal 2 A= RG (2)  1.2.2 BMI Range = 26 – 18 √ 1A concept of Range = 8√ 1A Answer (2) 1.2.3 It means only 5%√ of learners of the same age are 2A concept of having a weight more than him/her √√ PERCENTILE Or Out of 100 learners of the same age, this learner’s weight is above the weight of 95 learners Or The learner is overweight because her BMI is above 95th percentile (2)

Downloaded from hlayiso.com Mathematical Literacy P2 3 Common Test June 2014 Gr.12 - MEMO 1.2.4 27,1 – 23  2A = Values = 4,1 1CA = Simplification (3) 1.2.5 Start exercising √√ 2 x 2 = Opinion Start dieting√√ Participate in sporting activities to keep their bodies active. Any other valid advice / suggestion (4) 1.3.1 40km – 26.9 km√ = 13.1km√ 1M = Method 1CA = Answer (2) 1.3.2 (a) Time = 2 : 47 : 30 1A for calculating 06:00:00 + 2 : 47: 30 = 08:47:30 time 08:47:30 1M = adding correct time 1CA = Answer (3) (b) Athlete 2 finished the race at 11:31:29 2A = CORRECT Athlete 3 arrived at 11:37:00 TIME Therefore athlete 3 was wrong, athlete 2 1CA = arrived before CONCLUSION OR Athlete 2 finished earlier than athlete 3 (3) [28]

Downloaded from hlayiso.com Mathematical Literacy P2 4 Common Test June 2014 Gr.12 - MEMO Question 2 2.1.1 Coastline = 40% x 580km√ Alternative 1A= Concept of % = 232km√ 0,4 x 580 1A = simplification (2) 2.1.2 210mm = 580km 1A = Ratio / equation 210mm = 580 000 000mm 1A = conversion 1: 2761904,76 1CA = Simplification 1: 2800 000 1A = Rounding off hundred thousands (4) 2.1.3 45mm = 125 000 000mm√ 1A =concept of scale 210mm = mm 1A = simplification 210x125000000 1A = converting to km = 45 = 583 333 333,3 √ 583333333,3 = 1000000 =583km√ (3)  It is approximately 580km 2.2 Any valid suggestion 2 O = opinion (2) 2.3.1 One line = 15km ÷20cm 15km = 1500 000 1A = conversion to cm = 1 500 000cm ÷ 20cm 1A = dividing = 75 000 fish 1A = answer OR 1 fish = 20 cm Straight line of fish = 1 500 000cm = 1 500 000cm ÷ 20cm = 75 000 fish (3)

Downloaded from hlayiso.com Mathematical Literacy P2 5 Common Test June 2014 Gr.12 - MEMO 2.3.2 1 crate = 500 sardines 1A = dividing by 500 Crates = 75 000 1CA = answer = 75000 ÷ 500 = 150 crates (2) 2.4.1 3 1=M P(below 23) = 2  1  or 8 8 1= Simplification 1A = percentage = 0,375 x 100% = 37.5% (3) 2.4.2 It is true that the weather of Durban is more 2 O = Opinion attractive than Cape Town. Durban temperature is high.  (2) 2.4.3 60% 2 RG / RT (2) 2.4.4 Refer to “ Annexure A” 2A for plotting all correct bars 1A for correct double bars 2A for labelling Y- axis,X-axis and the graph correctly (5) 2.4.5 Saturday,  because the minimum temperature is 23o 3 O = Opinion OR any valid reason.  (3) [31]

Downloaded from hlayiso.com Mathematical Literacy P2 6 Common Test June 2014 Gr.12 - MEMO QUESTION 3 3.1.1 Perimeter = 2L+ 2B 1A= substituting = 2(32m) + 2 (24m) √ correct values = 64m + 48m√ 1A= simplification = 112m√ 1CA = answer (3) 3.1.2 Volume of pool = Volume of pool – Volume of inner 1A = subtracting circle 2A= Simplification = 193,91m3 – √3.142 x1. 9m x 1.9 x 0.75m) √ 1A= correct unit (m3) =193,91m3 – 8,5069m3 = 185.4m3√ (4) 3.2.1 Total SA of pool = 27m2 + π r x h 2A = Substituting = 27m2√ +√11,7825m2√ correct values = 38,78m2√ 1M = addition 1CA = Answer (4) 3.2.2 1litre = 3m2√ 1A = scale / equation 2 38,78 m 2 1CA= Simplification Liters = 38,78m √ OR 3m 2 1CA= Answer = 12,94litres√ = 12,94litres√ 1A = Rounding (4) = 13 litres  = 13 litres 3.2.3 5 liters = R64 per liter√ 3A= simplification 10 liters = 58 per liter√ 1A= conclusion 20 liters = 47.50 per liter Therefore, 20 liter tin is cheaper √ (4) 3.2.4 They must buy 1 x 10 litres and 1 x 5 litres √ 1CA = choice 10 liter x 1 @ R580 = R580 1A= correct Amounts 1 x 5 litres at R320.00  1A = adding / = R900 multiplying amounts (3) [22]

Downloaded from hlayiso.com Mathematical Literacy P2 7 Common Test June 2014 Gr.12 - MEMO 4.1 4.1.1 30.6 : 22.8 2A = correct ratio 15.3√ : 11. 4 √ 0r 15 : 11 (2) 4.1.2 The national bachelor increased by 10.5 % whereas 2A = opinion Kwazulu- natal is 14.3%. This means bachelor pass increased more than the National pass rate. √√ OR any valid opinion (2) 4.1.3 Passes = 77.4% x 145 278 1M = for % = 112445 √ 1A = Correct passes Therefore Bachelor passes = 32,5% x 112445 √ = 36544.625 √ 1A = Concept of % = 365445 √ 1CA = simplification 1CA = Rounding off (5) 4.1.4 Gauteng or Western Cape 1 A = for Province For consistency and higher percentage √√ 2 O = Opinion OR Any correct justification No mark for National (3)

Downloaded from hlayiso.com Mathematical Literacy P2 8 Common Test June 2014 Gr.12 - MEMO 4.2.1 17050  7500 1A= simplification % increase = x 100 7500 1A = annual inflation = 127.33% 127.33% Average % inflation rate = 11 (2) = 11.58% 4.2.2 Yes,  because the inflation reduces the value of 1A= reason (yes) R15 000.  Interest rate – inflation rate 1A = Concept of 10,8% – 7,7% inflation = 3,1% 3CA = simplification  value of R15 000 = R15 000 + 3,1% x R15 000 = R15465 (5) [19] TOTAL MARKS: [100]

Downloaded from hlayiso.com Mathematical Literacy P2 9 Common Test June 2014 Gr.12 - MEMO ANNEXURE A QUESTION 2.4.4 NAME OF THE LEARNER:……………………………………….. Minimim afternoon Temperatures in Durban and Cape Town 28 24 √ √ √ 20 Min. Temperatures 16 12 8 4 0 FRIDAY SATURDAY SUNDAY√ DAYS KEY√ DURBAN CAPE TOWN GRAND TOTAL: 100