NATIONAL SENIOR CERTIFICATE. MATHEMATICAL LITERACY P2 November 2017 MEMORANDUM
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1 NATIONAL SENIOR CERTIICATE GRADE 10 ATHEATICAL LITERACY P2 November 2017 EORANDU ARKS: 75 Symbol A CA A C S RT/RG/RD S O J P Re Ro Explanation ethod ethod with Accuracy Consistent Accuracy Accuracy Conversion Simplification Reading from a table/ graph/diagram/map Correct substitution in a formula Opinion Justification/ Reason/ Deduction Penalty, e.g. for no units, incorrect rounding off, etc Reason Rounding KEY TO TOPIC SYBOLS: = inance; = easurement; = aps& Plans; DH = Data Handling and P = Probability
2 athematical Literacy/P2 2 Limpopo DoE /November 2017 The memorandum consists of 8 pages. QUESTION 1 [10 ARKS] 1.1 Price per kg for 25 kg bag: = R13.08 per kg S Price per kg for the 10-kg bag: 1 price divided by kg 1S simplify R/kg = R14.95 per kg S 1S simplify R/kg Angie is correct, the 25 kg is best value for money, it is cheaper per kg than the 10-kg bag. J Granma is correct, she only needs 20 kg, so 20 kg will be cheaper J Or 1J justify Angie s choice 1J justify grandma s choice + Grandma is correct, it will be better to buy 2 x 10 kg because it will be easier for the two of them to carry the sugar back to home. J 1.2 Hours per month = 20 x 5 = 100 hours C Wage of Gardener = 100 x R40.00 = R Wage of Cook = x R = R64 Or wage of Cook = R % of R C convert to hours 1 hours x tariff 1 60% of R40 added ( 5) = R hours x R64.00 = R CA They must withdraw R RR6400 That is R CA 1CA 100x wages cook 1CA add wage, gardener +cook (5)
3 athematical Literacy/P2 3 Limpopo DoE /November 2017 QUESTION 2 [41 ARKS] Round tables + head table + DJ 1 add all chairs + DJ = 14 x S simplify correctly = 121 S P = 121 = CA = 0.07 R 1 no. at table divide by total 1CA correct simplification 1R correct rounding to 2 decimals P In front of head table RD 2 RD position from diagram Walk straight ahead, RD turn left between the dance floor and table C, RD turn right between the dance floor and table L RD, the next table is table K OR Walk straight ahead RD to the corner of the dance floor and turn left RD. Walk to the next corner of the dance floor and turn right. RD The second table on your left is table K. 3RD directions from diagram OR Walk straight ahead, pass between the dance floor and the Head table. RD Turn left between the dancefloor and table B RD and walk straight ahead until you reach table K RD
4 athematical Literacy/P2 4 Limpopo DoE /November Length on diagram 2.5cm x 6 = 15 cm RD 1RD distance x 6 Scale 1:100 1CA length x 100 Length of 15 cm represent 15 x 100 CA = 1500 cm S 1C convert cm to m Length of hall is 1500/100 = 15 m C (4) Area = Length x Width 150 m 2 = 15 m x Width S 1S correct substitution. Accept answer of learner in Width = 15 = 10 metres S Diameter = 1.3 metre therefore the radius. = 0.65m RD Perimeter = 2 x x S = tables x = m CA 1 change subject of formula 1S simplify correctly 1RD diameter 2 1S substitute correctly 1CA 14 x perimeter 1R rounding up Decorator had to buy 38 metres of tape R (4) None O 1O opinion Although the total of open space is enough to fit an extra table, a table cannot fit in any of the pieces of open space. J 2J justify opinion
5 athematical Literacy/P2 5 Limpopo DoE /November Range = highest money value - lowest money value = R200 R10 1 highest - lowest 1CA answer = R CA oney notes Tally requency R10.00 lll 3 R20.00 llll 4 R50.00 llll l 6 S R llll llll RT 10 S R llll ll RT 7 S 30 D D One mark for each correct entry in the table (5)
6 athematical Literacy/P2 6 Limpopo DoE /November D One mark for each bar with correct label AND correct height oney received = 3 xr xr xr xr xr200 = R S 54% of cost = R CA Cost of honeymoon = R x = R S (5) 1 frequency x money value 1CA 54% x cost = learner answer above 1 change of subject (5) QUESTION 3 [14 ARKS]
7 athematical Literacy/P2 7 Limpopo DoE /November ilk RT 2 RT read from slip or Brown rice RT = 3 bags S 1 RT read from slip x R = VAT = R R CA 1 divide by CA subtract answer from R = R35.97 S 3.4 Total from credit card = R R R500 = R S 1 add VAT include and VAT excluded totals 1 add R500 cashback 1S correct total : 3 : litre price x 3 Price of 5-Litre bottle = 3 x R13.49 = R40.47 S litre price x 6 Price of 10-litre bottle = 6 x R13.49 = R S (4) QUESTION 4 [10 ARKS] :00 C 2C convert time
8 athematical Literacy/P2 8 Limpopo DoE /November am to 8am RT 2RT line horisontal / no slope 4.3 5am to 6 am RT 2RT steepest slope 4.4 Travel time from 4am to 6 am and again from 8am to10 am Time = 2h +2h = 4 hours RT Distance travelled is 200 km RT Speed = 200km 4h S = 50 km/h 2RT read time from table 1RT read distance travelled 1S substitute correctly (4) D GRAND TOTAL 75
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