MATHEMATICAL LITERACY P2 COMMON TEST JUNE 2014 MEMORANDUM NATIONAL SENIOR CERTIFICATE

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MATHEMATICAL LITERACY P2 COMMON TEST JUNE 2014 MEMORANDUM NATIONAL SENIOR CERTIFICATE GRADE 12 SYMBOL M MA CA A C S RT/RG SF O R F EXPLANATION Method Method with accuracy Consistent accuracy Accuracy

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

2 Mathematical Literacy P2 2 Common Test June 2014 QUESTION (a) BMI = 1.7x1.7 =24.9 1A substitution 1CA simplification (b) BMI = x1.5 1A substitution 1A simplification W BMI = 2 H = 2 H 27H H 2 = 2,56 = =method 1 = CA H 2 = 2, 56 H = 1, Normal 2 A= RG BMI Range = = It means only 5% of learners of the same age are having a weight more than him/her 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 95 th percentile 1A concept of Range 1A Answer 2A concept of PERCENTILE

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

4 Mathematical Literacy P2 4 Common Test June 2014 Question Coastline = 40% x 580km Alternative = 232km 0,4 x mm = 580km 210mm = mm 1: ,76 1: A= Concept of % 1A = simplification 1A = Ratio / equation 1A = conversion 1CA = Simplification 1A = Rounding off hundred thousands (4) mm = mm 210mm = = mm 210x A =concept of scale 1A = simplification 1A = converting to km = ,3 = , =583km It is approximately 580km 2.2 Any valid suggestion 2 O = opinion One line = 15km 20cm 15km = A = conversion to cm = cm 20cm 1A = dividing = fish 1A = answer OR 1 fish = 20 cm Straight line of fish = cm = cm 20cm = fish

5 Mathematical Literacy P2 5 Common Test June crate = 500 sardines Crates = = = 150 crates P(below 23) = or 8 8 = 0,375 x 100% = 37.5% It is true that the weather of Durban is more attractive than Cape Town. Durban temperature is 1A = dividing by 500 1CA = answer 1 = M 1= Simplification 1A = percentage 2 O = Opinion high % 2 RG / RT Refer to Annexure A 2A for plotting all Saturday, because the minimum temperature is 23 o OR any valid reason. correct bars 1A for correct double bars 2A for labelling Y- axis,x-axis and the graph correctly 3 O = Opinion (5) [31]

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

7 Mathematical Literacy P2 7 Common Test June : : r 15 : The national bachelor increased by 10.5 % whereas Kwazulu- natal is 14.3%. This means bachelor pass increased more than the National pass rate. OR any valid opinion Passes = 77.4% x = Therefore Bachelor passes = 32,5% x = = Gauteng or Western Cape For consistency and higher percentage OR Any correct justification No mark for National 2A = correct ratio 2A = opinion 1M = for % 1A = Correct passes 1A = Concept of % 1CA = simplification 1CA = Rounding off (5) 1 A = for Province 2 O = Opinion

8 Mathematical Literacy P2 8 Common Test June % increase = x 100 = % Average % inflation rate = % 11 = 11.58% Yes, because the inflation reduces the value of R Interest rate inflation rate 10,8% 7,7% = 3,1% value of R = R ,1% x R = R A= simplification 1A = annual inflation 1A= reason (yes) 1A = Concept of inflation 3CA = simplification (5) [19] TOTAL MARKS: [100]

9 Min. Temperatures Mathematical Literacy P2 9 Common Test June 2014 ANNEXURE A QUESTION NAME OF THE LEARNER:.. Minimim afternoon Temperatures in Durban and Cape Town FRIDAY SATURDAY SUNDAY DAYS KEY DURBAN CAPE TOWN GRAND TOTAL: 100

NATIONAL SENIOR CERTIFICATE GRADE 12

NATIONAL SENIOR CERTIFICATE GRADE 12 NATIONAL SENI CERTIFICATE GRADE 12 MATHEMATICAL LITERACY P2 FEBRUARY/MARCH 2009 MEMANDUM MARKS: 150 Symbol M MA CA A C S RT/RG F SF J P R Explanation Method Method with accuracy Consistent accuracy Accuracy