0580 S13 Ms 42 - O'Level Past Papers
CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the May/June 2013 series0580 MATHEMATICS0580/42Paper 4 (Extended), maximum raw mark 130This mark scheme is published as an aid to teachers and candidates, to indicate the requirements ofthe examination. It shows the basis on which Examiners were instructed to award marks. It does notindicate the details of the discussions that took place at an Examiners’ meeting before marking began,which would have considered the acceptability of alternative answers.Mark schemes should be read in conjunction with the question paper and the Principal ExaminerReport for Teachers.Cambridge will not enter into discussions about these mark schemes.Cambridge is publishing the mark schemes for the May/June 2013 series for most IGCSE, GCEAdvanced Level and Advanced Subsidiary Level components and some Ordinary Level components.
Page 2Mark SchemeIGCSE – May/June 2013Syllabus0580Paper42Abbreviationscaocorrect answer onlycsocorrect solution onlydepdependentftfollow through after erroriswignore subsequent workingoeor equivalentSCSpecial Casewww without wrong workingartanything rounding tosoiseen or impliedQu1(a) (i)AnswersMark6 560 [ 240]5 6 32Part MarksAccept ‘of’ used instead of M1 for 560 (5 6 3)1201(b)902M1 for(c) (i)96120 final answer2M1 for their(a)(ii) 75 (560 their (a)(ii)) 198 oe187.5[0] final answer3M2 for(ii)(ii)3 240 oe8198oe1 0.056or M1 for (100 5.6)[%] 198 oe seen(d)184[.2.]3M2 for36 0.75 9.5 100 oe9.5or M1 for36 0.75 100 or 36 0.75 9.5 [17.5]9.5usedimplied by answer 84.2or SC1 for final answer 284[.2.](e)69.4 and 69[.0]cao3SC2 for one correct or both correct but reversedM1 for two of 10.85, 10.95, 23.65 or 23.75 seenor 2(23.7 10.9) 4(0.05)or 2(23.7 10.9) – 4(0.05) Cambridge International Examinations 2013
Page 32(a) (i)Mark SchemeIGCSE – May/June 2013 5 Translation, oe 8 1,1Syllabus0580Paper42Brackets needed for vectorNot (–5, 8), (–5 8)(ii)correct trapezium at (2, 2)(4 , 3) (4 , 5) (2, 5)2SC1 for reflection in x 1 or vertices only(iii)correct trapezium at(4, 2) (5, 4) (7, 4) (7, 2)3M2 for 4 correct vertices on grid or in working24 4 0 1 2 or M1 for 1 0 4 7 7 5 or SC1 for 3 vertices correct or complete shape incorrect orientation but wrong positionShear1x –axis (oe) invariant121(ii)rectangle at ( 3, 2)(1, 2) (1, 8) ( 3, 8)2SC1 for all vertices onlyor correct orientation and size, wrong position(a)0, 2, 0, 33B2 for 3 correct or B1 for 2 correct(b)Correct curveB4B3FT for 8 pointsB2FT for 7 or 6 pointsB1FT for 5 or 4 points(c)y –1 indicatedB1x 1.3 to 1.4 and 4.1 to4.2e.g. Could be mark[s] on curveisw other lines if not clearly usedB1line drawn from (0, 2) totouch curveM1(2.5 to 2.75, 3 to 3.4)A1rise/run e.g. (their y 2)/their xM1dep on attempt at a tangent from (0, 2) in (d)(i) anduses scales correctlyCan be implied from answer– check on tangent fortheir rise for a run of 1(½ small square)0.4 to 0.48A1ww2 dep on attempt at a tangent from (0, 2) in (d)(i)(b) (i)3(d) (i)(ii)No daylight at point of contactIf short, must cross at (0, 2) within ½ small squarewhen extended Cambridge International Examinations 2013
Page 44Mark SchemeIGCSE – May/June 2013(a)227 or 226.95 to 227.012(b)5.351(c)39.0[0] to 39.0[1]2Syllabus0580M1 for π 8 .5 2M1 for sin [MOB] Dep on their b 8.5(d)30.2 or 30.3 or 30.24 to 30.273Paper42their boe8 .5360 4 39 2 π 8.5 oe360a 2 π 8.5 oeor M1 for360where 0 a 360M2 forImplied by 5.78 to 5.79 or 11.5 to 11.6 or 23.14to 23.15 or 23.1 or 23.2 or 41.83 to 41.84 or41.8(e)AB BCTA TCTB TB111isw comments or reasonsIf 0 scored SC1 for “all three sides the same”oe [SSS] and no mention of angles5(a)27final answerx1(b)25final answerx 21(c)2527 4 oex 2xM1FT their (b) 4 their (a) oe must be eqn in xM1FT25 x 4 x ( x 2 ) 27 ( x 2 ) oe4 x 2 27 x 25 x 8 x 54[ 0] oe2 x 2 3 x 27 0 without errorM1depA12527 4 oe only for 2nd and 3rdx 2xM markIf all on one side then condone omission of‘ 0’Dep on 2nd M1Must see brackets expanded before this awardand terms on one side of eqnMust see 4 x 2 6 x 54 0 firstseen(d) 3, 4.53(e)6 cao1B2 for (2 x 9 )(x 3)or SC1 for (2 x a )(x b ) where a and b areintegers and a 2b 3or ab 27 Cambridge International Examinations 2013
Page 56(a) (i)(ii)(b)7(a) (i)M1 for 15² 12² 21² - 2.12.21cosM44.41 to 44.42A2A1 for [cos ] 0.714 or 0.7142 to 0.7143 or360oe50488.2 or 88.15 to 88.192M1 for 0.5 12 21 sin (44.4) oe7.74 or 7.736 to 7.737 . www4B1 for 55 soi6.4 sin 82 oeM2sin(their R)6.4PRoeor M1 for sin(theirR) sin 82 15 21 11(iii)(2) final answer2(iv) 4 13 0 0 1(v) 5 9 0 121 3 4 or better isw2 1 2 5,82scarf316hat(b) (i)(ii)Paper42M2not possible oe(a)Syllabus058012 2 212 15 22 12 21(ii)(b)8Mark SchemeIGCSE – May/June 201315oe4852438135621M1 for 30 – 28B1 for one correct row or column 3 4 seen or impliedB1 for k 1 2 1 a b seenor 2 c d 1 mark per pair in correct place11 5 16 2FT2FT3 5 correctly evaluated8 63 5M1 FT from their tree8 6FT their5 1 correctly evaluated8 35 1M1 FT from their tree8 3FT their Cambridge International Examinations 2013
Page 6(iii)(c)Mark SchemeIGCSE – May/June 201313cao4821708534 17orororcao12048 242403Syllabus0580M1 for their3 1 their (b)(ii) soi8 65 2 7M2 for 1 FT their tree or8 3 103 5 1 5 2 3 oe8 8 3 8 3 10or M1 for[“wears all” ]9(a)371 or 371.1.4Paper425 2 7 FT their tree seen8 3 10M3 for (6 4 12) (2 6 0.5 4 4 sin 60) oeor M2 for area of 1 or 2 hexagonsor M1 for area of one relevant triangle ortrapezium or rectangle within hexagonIf 0 scored SC1 for 288 shown(b) (i)1740 or 1743.6 to 1744.2412000 (π 0.74 2 ) oe4or SC2 for figs 174[3.] or 174[4.]M3 foror B1 for π 0.74 2 seen [1.72.]or B1 for 12000 / 4 soi by 3000(ii)87 caowww 55B4 for 87.39 to 87.43figs 12oeor M3 for [r ]π figs 5or M2 for [ r 2 ] figs 12oeπ figs 5or M1 for figs 12 πr 2 figs510 (a) (i)(ii)(b)25 8x202 x 2 5x 9final answer3(x 3)final answerx 2 3 oe or 0.667 or 0.6666 to0.6667y 3235 5 4 2xor better seen5 4B1 for 2 x 2 6 x x 3 soiM1 forand B1 for denom 3(x 3 ) or 3x 9 seen3M1 for correct method to eliminate one variableA1 for x 2 3 oe or 0.667 or 0.6666 to 0.6667or y 3 Cambridge International Examinations 2013
Page 7Mark SchemeIGCSE – May/June 2013final answer(c)7www2x 34Syllabus0580Paper42B1 for 7 (x 3) in numeratorand B2 for (2 x 3)(x 3) in denominatoror SC1 for (2 x a )(x b ) where a and b areintegers and a 2b 9 or ab 9After B1 scored, SC1 for final answer73.5or2( x 1.5)x 1.532 1211 (a)1(b) (i)10final answer31(ii)10final answer3210Ignore attempt to evaluateM1 for their210 10 or3( ) 10 2 10their 3 implied by 3.33 seen19100or 3isw conversion2727(c)n2 10 oe where n is 3 or 4M1 for 3 3 or for [OP4 ]or 3.7[03] to 3.7[04]100081n 10 where n is 1 or 2or for their (b)(ii) 3 18.43.2(ii)18.4[3 ]1(iii)203(d) (i)13M1 for tan [P1OP2] oeSC2 for 19or M1 for36018.4[3.] Cambridge International Examinations 2013
MARK SCHEME for the May/June 2013 series 0580 MATHEMATICS 0580/42 Paper 4 (Extended), maximum raw mark 130 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on which Examiners were instructed to award marks. It does not
S12.2 National Student Nursing Association S13 University Student Government S13.1 School of Nursing Student Government S13.2.1 By-Laws S13.3 Health Science Center Student Association S13.4 Student Polity Association S13.5 Graduate Student Organization S14 Graduation Clearance Process S15 Graduation Requirements
MARK SCHEME for the June 2004 question papers 0580/0581 MATHEMATICS 0580/01, 0581/01 Paper 1 (Core), maximum raw mark 56 0580/02, 0581/02 Paper 2 (Extended), maximum raw mark 70 0580/03, 0581/03 Paper 3 (Core), maximum raw mark 104 0580/04, 0581/04 Paper 4 (Extended), maximum raw mark 130
Scheme of work – Cambridge IGCSE Mathematics (0580) from 2015 v1.0 4Y11 Cambridge IGCSE Mathematics (0580) – from 2015 6 Unit 1: Number Recommended prior knowledge Learners should be able to add, subtract, multipl
0580 MATHEMATICS 0580/42 Paper 4 (Extended), maximum raw mark 130 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of . 21, [y ] 42 2 B1 B1 (ii) 3.79 or 3.8[0] or 3.792 to 3.802 2 M1
0580 MATHEMATICS 0580/42 Paper 4 (Extended), maximum raw mark 130 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of . 21 2 M1 for 360 – 90 – 143
0580 MATHEMATICS 0580/42 Paper 4 (Extended), maximum raw mark 130 This mark scheme is published as an aid to teachers and candidates, to indicate the requirements of the examination. It shows the basis on wh
0580 MATHEMATICS 0580/42 Paper 4 (Paper 42 – Extended), maximum raw mark 130 . 376.25 cao final answer 2 B1 for 21.5 and 17.5 seen (d) 22.4 2 M1 for 2002 or 22 seen oe (e) 5184 2 M1 for 12 16 27 (f) 9023 3 M1 for
Fjalët kyce : Administrim publik, Demokraci, Qeverisje, Burokraci, Korrupsion. 3 Abstract. Public administration, and as a result all the other institutions that are involved in the spectrum of its concept, is a field of study that are mounted on many debates. First, it is not determined whether the public administration ca be called a discipline in itself, because it is still a heated debate .
