MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES

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1 NATIONAL SENI CERTIFICATE EXAMINATION NOVEMBER 2012 MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Time: 3 hours 150 mrks These mrking guidelines re prepred for use by exminers nd sub-exminers, ll of whom re required to ttend stndrdistion meeting to ensure tht the guidelines re consistently interpreted nd pplied in the mrking of cndidtes' scripts. The IEB will not enter into ny discussions or correspondence bout ny mrking guidelines. It is cknowledged tht there my be different views bout some mtters of emphsis or detil in the guidelines. It is lso recognised tht, without the benefit of ttendnce t stndrdistion meeting, there my be different interprettions of the ppliction of the mrking guidelines.

2 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 2 of 11 TL = Thinking Level AO = Answer Only MA = Mrk Alloction Give full mrks for nswers only, unless question stipultes. TL AO MA QUESTION , ,8 423,2 + 1,8 = 425 m Any prt of clcultion correct Finl nswer correct = R122,50 *Penlise deciml. Must hve zero showing plce vlue m for multiplying c for finl nswer 1.2 = 595 g Penlise unit. m Clculting 15% 700 = 105 g 85% 700 c Subtrcting to get finl nswer *If they increse or decrese by 15% : 1 mrk or 1 7 / 25 *If they ttempt to simplify it further only 1 mrk. 28 / m 100 1,28 / 100 m 1.4 = 8: 1 or 1:0,125 (Unit form) m Dividing both sides by common fctor Finl nswer (Cn be written in frction) Must show : min 4 or = 96 minutes c 1,6 hrs 1hr 36 min

3 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 3 of ,2 60 m = hours 12 minutes *732 min : 1 mrk *12hrs 20 min : 0 mrks if no working *12hrs 2 min : 0 mrks if no working 1.7 = R482,85 Method 1 : R550, 45 = R482,85 114% m dividing Method 2: R550, / 114 = R482,85 m 114% Method 3: R550, 45 = R482,85 1,14 Finl nswer Method 4: x 114% = R550,45 x = R550,45 114% x = R482,85 Method 5: 100% 114% R550,45 = R482,85 *NOTE: If the lerners clculte 14% of R550,45 nd then subtrct they only get 1 method mrk! But ONLY if they show working. [R550,45 77,063 = R473,39] *If they show only VAT : 0 mrks R1,15 30 = R34,50 m 30 Finl nswer *If dozen is 6, then R1,15 15 m = R17,25 *12,5 R1,15 : 0 mrks *2,5 R1,15 = R2,89 : 0 mrks 1.9 R17,99 4 = R71,96 R36,99 2 = R73,98 10 kg = R74,99 The 2,5 kg is the best buy. Option 1. R17,99 2,5 = R7,20/kg R36,99 5 = R7,40 /kg R74,99 10 = R7,50 /kg The 2,5 kg is the best buy. Option 1.(Spr) 3 3

4 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 4 of > C Finl correct nswer m if nswer between 20 nd 30 e.g ,2 = 11,36 kg (Rounding not penlised) m *If multiplying (55kg) : 0 mrks kg 11,4 kg = 80,64 kg c from previous nswer 92 kg 11 kg = 81 kg c from previous nswer 92 kg 11 kg = 81,6 kg c from previous nswer c from previous nswer. If between 80kg nd 81kg m If between 80kg nd 90kg m ,1 cm = cm m cm = 2,05 km m for dividing, even if it's the incorrect number of zeros Finl nswer *NOTE: If they don't know how mny cm in km they cnnot get 3 mrks = 8 Finl correct nswer m 4 / 8 m 2 m 2 / 4 m 1 / 2 m 2 m / 8

5 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 5 of House on bechfront 3 Bedrooms Pool House on bechfront 4 Bedrooms Pool House two blocks from bechfront 3 Bedrooms Pool House two blocks from bechfront 4 Bedrooms Pool (ANY TWO) ech correct one *If sentences not complete then 1 mrk. *If they write only 3 bed or 4 bed : 0 mrks. 37 QUESTION 2 TL AO MA 2.1 True True True Flse Flse True Flse Flse Flse Flse Flse Flse True True QUESTION 3 TL AO MA 3.1 A = Wer It Well B = Jckets-R-Us *If A = Wer It Well B = Wer It Well A = Jckets-R-Us B = Jckets-R-Us 3.2 C = 50 R225 m = R c If they use vlues of other compny correctly, they get 1 mrk. (50 R200 = R1 000) 2 5 5

6 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 6 of 11 D = (200 R200) + R2 500 = R c If they use vlues of other compny correctly, they get 1 mrk. * D = Cost of 150 jckets + cost of 50 jckets = R mc x xis = Number of Jckets ordered y xis = Amount of Money strting point c end point c grph for key A comprison of costs from Wer It Well nd Jckets-R-Us Totl Cost E Number of jckets ordered A comprison of costs from Wer it Well nd Jckets-R-Us R to R (Accurte clculted nswer = R12 375) / 142 / 143 /

7 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 7 of Compny A: Wer It Well c (ccording to their grphs) The line representing 'Wer it Well' is below the line representing Jckets-R-Us c (Any correct suitble explntion) 2 2 *If they stte reson being becuse of no fixed price: 0 mrks Lbelling point E on Grph (See bove) R225 R75 = R150 R % 200% R75 = c m A = 3 000(1 + 5%. 1) substitution n = 1 A = R3 150 c *Note: If n = 12, A = R4 800 (2 mrks) *If compound interest formul used correctly: c R = R262,50 c *R = R400 c QUESTION 4 TL AO MA ,9 feet 0,305 = 339,1295m m = 339 m r *1111,9 0,305 = 3645, r m 4,13 m = 82,08 crs m 82 / 83 crs c * ,13 m 882 / 883 c km/h 24 h m = 960 km m 2 11,3 m m = 10 m *If thgey show L B : m

8 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 8 of $ $1 900 = $ $ R7,92340 m = R ,34 c *If cents dropped, still 2 mrks. *If conversion decimls dropped: $ R7,29 = R m R32, = R c ml m = ml = l c * Students re expected to know tht ml = 1l () A = l l or m = 800 l (b) c per correct vlue / point Litres of Milk vilble t the beginning of ech dy Dy 1 Dy 2 Dy 3 Dy 4 Dy 5 Dy 6 Dy H 35 nd 36 H 20 nd

9 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 9 of SE QUESTION 5 TL AO M A P = 145cm + 145cm + 75cm + 75cm m P = 440 cm u ccept mm or 4,4 m *If perimeter of border = 460cm : 2 mrks Method 1: 440cm m 2,5cm (converting) = = 180 tiles c Method 2: 145cm 2,5 cm = 58 tiles 2 = 116 tiles 75cm 2,5 cm = 30 tiles 2 = 60 tiles = 176 tiles = 180 tiles c Method 3: Are of Border Are of Tile = m 6,25 = 180 c Method 4: 80 2,5 = ,5 = 60 ( ) 2 m = 184 c 4 =180 c *Inside border = 172 tiles 5.3 Method 1: m = 360 tiles c m 8 = 368 tiles c Method 2: Method 3: 145 cm + 5 cm = 150 cm 150 cm 2,5 cm = 60 tiles 2 = 120 tiles m 75cm + 5cm = 80cm 80cm 2,5cm = 32 tiles 2 = 64 tiles 120 tiles + 64 tiles = 184 tiles m = 368 tiles c Are of two borders = cm 2 Are of mirror = cm cm 2 m cm 2 = 2300cm 2c m 6,25cm 2 = 368 c tiles 20 = 18,4 c c (round up) She will need 19 boxes. 14

10 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 10 of 11 QUESTION 6 TL AO M A Feb Mrch 2011 Accept Feb or Mrch m = McDonlds Nike KwZulu-Ntl Guteng Free Stte % ( ) m = 35.3% Cellphone 'Mxit nd Bible ,2% 6,1 to 6,4% 6 6,5

11 NATIONAL SENI CERTIFICATE: MATHEMATICAL LITERACY: PAPER I MARKING GUIDELINES Pge 11 of Love heding of grph lbel on ech xis 7 to 10 brs ccurte If it is br grph 4 to 6 brs ccurte Totl: 150 mrks

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