0580 0581 S02 Ms 1 2 3 4 - Weebly

Page 1Question12345Mark SchemeIGCSE – JUNE 2005Answers13930009 or 3 or 0.3 or 30% isw30104035 : 8ignore consistent units164Mark11122Syllabus0580/0581Paper1NotesAllow 1393000.0 or 1.393 10 6isw only for incorrect cancellingM1 for 3500 or 0.8 seen. SC1 ReversedSC1 for 1: 358 or 4 38 :1 ( 358 :1) or 35k : 8k(decimal form for SC1 correct to 3sf)B1 for 1 or (14 ) 3 or ( ) 64 seen.43decimal form only B067(a) 12 only(b) 3 only631128–9 www29255 weight 2652103.31 or 3.308 or 3.307( .)217M1 for 28 4 x 9 (can be implied by63.64 or 63.63 implies M1B1 for – 27 or ( )18 seen2524)1 mark for each. Allow 255.0 and 265.0SC1 for fully correct but reversedM1 for 12sin16(implied by 12 0.28 or better)Grads 2.98 . implies M1. 3.3ww no marks119002M1 for (5000 x 3 x 6) 100 oe orB1 for 300 seenSC1 for 590012(s ) (p q)/t or p q oet2B1 for p q seen or correct by tor p/t s – q/t or (p –q)/t SC1 for p q/t or p/t q13(a) similar(b) 1451114rounds to 1410 isw(isw only for incorrectrounding eg 1413 141)2M1 for π 15 2 2 (or π 1.5 2 0.2 )SC1 if π 30 2 2 calculated correctly(rounds to 5650 or 5660) (allow 3(.0)used)1.41 cm 3 is 2 marks, 1.41 or 5.65 implies M115(a) multiple of 24(b) 11241216(a) 23 isw(b) 43(c) 4n 3 oe final answerignore extras if lowest correctM1 for a correct attempt at two equivalent fractions3 6(e.g. 5 848 and 48 seen or better)ww. and decimals alone zeroignore extras even if incorrecttheir (a) 20allow any unsimplified forme.g. 7 (n – 1) 4 or 7 4n – 411ft114 University of Cambridge International Examinations 20059Dwebsite.tk

Page 2Mark SchemeIGCSE – JUNE 2005(a) 4x 17 final answer2(b) x (5x – 7)1182.45319(a) (i) 9 – 3 23(ii) (equals) 1117202123Paper1B1 for –3x 12 or 4x or 17 seen( 17 strictly www)condone missing final bracketB1 for 1.20 or 1.35 seen. (or 120 or 135)M1 for 5 – their (1.5 0.8 3 0.45)or 500 – their (1.5 80 3 45)allow slip of denominator as 3.0 or 3.00(not allow zeros in other figures)their (a)(i) provided order of operation is as seenand both (a)(i) and (a)(ii) are to a maximum of 1dpapart from zeros(b) 1.011(a) Panama, (Guyana),Colombia, Brazil(b) 51allow figures if correct2M1 for (1.14 10 6 ) (2.15 10 5 )implied by figs 53(0 )(a) 5.6(0) oe (allow 5 35 )2M1 for 35 100 16SC1 for 10.40 8 – their (a) if positive result from their (a)allow saving calculated from comparing costs orsavings(b) 2.4(0) oe www(allow 2 25 )221ftSyllabus0580/05811ft15(a) 102(b) 20(c) on the graph11(d) 12(allow 10 time 15)(allow 12 fromcalculation)(a) 90(b) 65(c) 251ft12ft2ft10M1 for use of distance time with figures. 5/0.5,5/30, 5/6, 5/0.30 only. Not 5/8.00, 5/0.3ruled single line from 8.00 am home continued toschool, 12 km line. Ignore beyond 12 km linemust cross within squareft their intended single ‘straight’ line (need not beruled) and within a square, not on the boundaryunless actually on a boundaryM1 for 180 – 25 – their (a) [155 – their (a)]ft. 90 – their (b)B1 for angle DEB 90 used orB1 for angle CEB 65 seen University of Cambridge International Examinations 20059Dwebsite.tk

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the November 2005 question papers0580/0581 MATHEMATICS0580/01, 0581/01Paper 1 (Core), maximum raw mark 56This mark scheme is published as an aid to teachers and students, to indicate therequirements of the examination. It shows the basis on which Examiners were initiallyinstructed to award marks. It does not indicate the details of the discussions that took place atan Examiners’ meeting before marking began. Any substantial changes to the mark schemethat arose from these discussions will be recorded in the published Report on the Examination.All Examiners are instructed that alternative correct answers and unexpected approaches incandidates’ scripts must be given marks that fairly reflect the relevant knowledge and skillsdemonstrated.Mark schemes must be read in conjunction with the question papers and the Report on theExamination. CIE will not enter into discussion or correspondence in connection with these markschemes.The minimum marks in these components needed for various grades were previouslypublished with these mark schemes, but are now instead included in the Report on theExamination for this session.CIE is publishing the mark schemes for the November 2005 question papers for most IGCSEand GCE Advanced Level and Advanced Subsidiary Level syllabuses and some OrdinaryLevel syllabuses.9Dwebsite.tk

Page 1Question123456Mark SchemeIGCSE – NOVEMBER 2005Answers1.01(00) x 104x(3y – 2)6950 55x 8 7 or better seen.(x ) 312Mark1111M1A129 (a)11M1A1P 2boe27100(Correct first step)SC1 correct method seenAllow 0.07 or 7%Allow 0.72 or72%1(c)0.072 and 7.2%1[15]1112(b)1314 (a)(b)(c)61 or 676364 5 2 Correct Vector Drawnheightsin 21 oe or better1 .2 1 1 or better.2 81(b)10 (a)(b)(c)11 (a)1210 (allow –10)12P – 2b 2a1M10.43(0 )430(.0 .)(Decrease) 200 000A1B1ftB1Their 200 000 1002700 000M17.41 or 7.40(7 .) A1111[15]Paper1Notes17 (a)(b)8Syllabus0580/058172100In this form.1 mark for each correct component.(alt. method) 1200 seenC’s 1200 sin 21o430 (.0.)B1M1A1 f.t.2500000x 100 or 92.5 B12700000subtract answer from 100M1(alt. method) University of Cambridge International Examinations 20059Dwebsite.tk

Page 2Question15 (a)(b)(i)(ii)16 (a)(b)(c)17 (a)(b)18 (a)(b)19 (a)(b)(c)20 (a)Mark SchemeIGCSE – NOVEMBER 2005Answers0.5 not 0.5010 – 6 x c’s 0.5 77.09083r – 3s or 3(r – s)q or q1p4A clear attempt to multiplyeach by 3 and add, orequivalent.609Mark11f.t.1111M1160Their (a) π50.9( .) or 5129.25 or 29.2 or 29.318Their (a) 2.20141M1A111M1A[16]M1A1B1M1A1 f.t.1135 100 900 315(Payments) 720Deposit Payments – 90013562(b)21 (a)(b)2(c) (i)12Ruled line through (0, 0) and(1, 16)Through and further than(5, 80)(ii) 5A11f.t.Syllabus0580/0581Paper1NotesOnly f.t. c’s (a) if it is 0.4 (0) or 0.50 or 0Allow 7.6 or 8 from 0.4Must be a clear use of Dalila’s intended total from(a) subtract 12Implied by 13.3 or 13.2 (.) seenImplied by 1035 seenNo follow through for negative answerB1B11f.t.[10]DependentIntersection of their line with the given line. University of Cambridge International Examinations 20059Dwebsite.tk

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the May/June 2006 question paper0580 and 0581 MATHEMATICS0580/01 and 0581/01Paper 1, maximum raw mark 56These mark schemes are published as an aid to teachers and students, to indicate the requirementsof the examination. They show the basis on which Examiners were initially instructed to award marks.They do not indicate the details of the discussions that took place at an Examiners’ meeting beforemarking began. Any substantial changes to the mark scheme that arose from these discussions willbe recorded in the published Report on the Examination.All Examiners are instructed that alternative correct answers and unexpected approaches incandidates’ scripts must be given marks that fairly reflect the relevant knowledge and skillsdemonstrated.Mark schemes must be read in conjunction with the question papers and the Report on theExamination.The minimum marks in these components needed for various grades were previously published withthese mark schemes, but are now instead included in the Report on the Examination for this session. CIE will not enter into discussion or correspondence in connection with these mark schemes.CIE is publishing the mark schemes for the May/June 2006 question papers for most IGCSE andGCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Levelsyllabuses.9Dwebsite.tk

Page 11Mark SchemeIGCSE – May/June 2006–2720.09 9%Syllabus0580 and 058119100110000 or 1 x 104 oe.1(a)71(b)Any multiple of 70 (e.g. 490)12.71(4 .)2(a)0.075976( .)1(b)0.0761 f.t.7345000 3550001, 182x(x – 456910(a)Paper01M1 for attempt at cube root of20f.t. candidates (a)M1 for 2(x2 – 3xy) orx(2x – 6y) or 2x( )19 University of Cambridge International Examinations 20069Dwebsite.tk

Page 21112Mark SchemeIGCSE – May/June 2006Syllabus0580 and 0581Paper01(a)( ) 251(b)( ) 551.252M1 for 500 x 1.052 or(c’s (a) 500) x 1.05(a)A-2 correct lines and B-6 correct lines1, 1Allow not ruled and smallinaccuracies.(b)21(x ) 5, (y )–3313M1 correct method to eliminatey or x. (add equations or correctmultiply and subtract)A1, A1ww allow SC1 for 1 correctanswer.ww both correct, full marks.141516(a)6 (h) 50 (min)1(b)37.5 (%)2(a) 3 12 1(b)Parallel oe.1CD is 3 times as long as AB oe.1(a)(hockey) 105, (cricket) 3021 mark each correct entry.(b)Correct line on pie chart to dividehockey and cricket. (30 2) degreesto left of vertical oe.1ftft only if the angles in (a) total135 (c)Football1B1 for 9 (hours) seen orM1 for c’s 9 24 x 10019 University of Cambridge International Examinations 20069Dwebsite.tk

Page 31718Mark SchemeIGCSE – May/June 2006Syllabus0580 and 0581Paper01(a)542M1 for 90(b)9.15( .)2M1 for 57.5 (2π) or SC1 for57.5 π. (implied by 18.3 )(a)Net of the cuboid2M1 for a net with 6 correct sizerectangles. 5x3A1 for a fully correct net.(b)522ftM1 for 5 or 6 areas calculatedand addedor SC1 for answer of 26.ft only if 5 or 6 rectangles areshown in part (a).8(Joseph ) 17.5(0)2M1 for 30 12 x 7.(Maria ) 92M1 for 30 100 x 30.(Rebecca ) 3.501ft30 – c’s Joseph – c’s Maria.(a)1.13 x 1062M1 for 2000 x 565 seen orB1 for figs 113(b)4.42( .) x 10–23M1 for 25 565 soi andB1 for figs 442( .)192010Total 56 University of Cambridge International Examinations 20069Dwebsite.tk

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the October/November 2006 question paper0580, 0581 MATHEMATICS0580/01, 0581/01 Paper 1 (Core), maximum raw mark 56This mark scheme is published as an aid to teachers and students, to indicate therequirements of the examination. It shows the basis on which Examiners were instructed toaward marks. It does not indicate the details of the discussions that took place at anExaminers’ meeting before marking began.All Examiners are instructed that alternative correct answers and unexpected approaches incandidates’ scripts must be given marks that fairly reflect the relevant knowledge and skillsdemonstrated.Mark schemes must be read in conjunction with the question papers and the report on theexamination.The grade thresholds for various grades are published in the report on the examination formost IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses. CIE will not enter into discussions or correspondence in connection with these mark schemes.CIE is publishing the mark schemes for the October/November 2006 question papers formost IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and someOrdinary Level syllabuses.9Dwebsite.tk

Page 3Question12345678Mark SchemeIGCSE - OCT/NOV 2006Answers 13.12 (3 4) 5 3Negative (allow –ve)1812.09 or 12.12a( ab 3 ) final answer.(a) 0.0561(b) 153006 33x y or 3(x 2 y) 3112(a) 79507(b) e isw5B (and) D3.51 10 315.55 ( length ) 15.65(x )(a)(b)(a)(b)(a)(b)183.23843 or 2 3 8 4 or 3 4 81art 314Syllabus0580, 0581Notes& no other bracketsNot allow ‘N’ or ‘n’ or ‘No’Not 12.10SC1 for 2( a 2 b 3a ) or a( 2ab 6 )or 2a( ab 3 ) or 2a( ab – 6 ) final answer.(Answers may be in standard form)SC1 for x 6 or y 3 seen in final answerft provided (a) 500 and not a multiple of1000.SC1 for reverse order.M1- at least 2 fractions correctly compared inthe same form. (decimal, percentage orcommon denominator)2M1 for -2 8 10x – 5x oe or better.1,122Either way round. -1 each extra letter.B1 for figures 351 seen1 mark for each.SC1 for fully correct but reversed.11 ft11their (a) 120.SC1 for 2 3 and 3 4 in the answer spaces1Aoe4π2(a)(i) 30(ii) Straight line from(11 00, 20) to (11 45, 80)(b) ‘Correct’ horizontal line‘Correct’ return journey lineM1 forAseen4π1111Paper1Ignore all beyond (11 45, 80)Horizontal line @ 80, 4 units long.Line to (14 30, 0)19 UCLES 20069Dwebsite.tk

Page 41920Mark SchemeIGCSE - OCT/NOV 2006(a) 52.2(0) 83.7(2)(b) 7.8(0)(c) art 36.4 allow –ve.Accept 36www(a) 2 correct lines on H1 correct line on W(b) 111ft2ft111 0 (a) Final ans4 30 Final ans(b) 24 10 205 (20 10)(b) 10 cao.(c) 9.49 cao.23(a) (i)60 their ( 3.48 15)M1 for ((their 83.72 15 3.55)/their 83.72) 100 or 100 ((15 3.55)/their 83.72) 100Ruled not essential in either. Judge by eye.No extraneous lines on either.Allow 0 or indication of no rotational symmetry.2Ignore ‘fraction’ lines in (a) and (b)Allow coordinate form1 mark for each correct component.21 mark for each correct component.2SC1 for 3 or 4 of the numbers given to 1significant figure.21(a)3136oe isw117B1 for 9.485(5) to 9.493 seen.(Allows for 22 13 rounded to 3sf)If zero, SC1 for 9.5www as final answer(Not 9.50 but check for possible B1)1Fraction, decimal or percentage only.206,036, 0% or zero. Not allow ‘no’, none, 70 or 0/0.(ii) 0 Final ans1(iii) 11Allow1799isw1If decimal, allow art 0.172(c) Piero’s1Can be indicated by(b)Paper11222Syllabus0580, 058166or3636or 100%.5Total for the paper is 56 marks UCLES 20069Dwebsite.tk21102

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSInternational General Certificate of Secondary EducationMARK SCHEME for the May/June 2007 question paper0580/0581 MATHEMATICS0580/01 and 0581/01Paper 1 (Core), maximum raw mark 56This 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.All Examiners are instructed that alternative correct answers and unexpected approaches incandidates’ scripts must be given marks that fairly reflect the relevant knowledge and skillsdemonstrated.Mark schemes must be read in conjunction with the question papers and the report on theexamination. CIE will not enter into discussions or correspondence in connection with these mark schemes.CIE is publishing the mark schemes for the May/June 2007 question papers for most IGCSE, GCEAdvanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses.9Dwebsite.tk

First variant Mark SchemePage 2Mark SchemeIGCSE – May/June 2007Syllabus0580/0581Paper0112 234567 (h) 55 (min)24NegativeJanB1B1B1B126(.0)145 180 or360 their acute angle at LB1M1325A1(a) 1 3 B1(b)(–2, –1)B192x2 3xy or x(2x 3y)B2B1 for 3x2 x2 3xy orx(3x – x 3y) seen.SC1 for answer 2x2 3xy oeor 2x2 seen in final answer of 2 terms.1075 B2Equilateral(Triangular) prismB1B1B1 for 25 or 50 seen on diagram orclear in working that angle BCD is25 or angle DCE is 50 .Minimum - arc seen in diagram.Not equalIf qualified must be triangular(or triangle).0.58 (a)(b)7811(a)(b)B1B13 62(%)5Accept answer in alternative formprovided equivalence is clear.Not just –10.2 but ignore if included.Allow 26Must be clearly indicated in workingor diagram.[9]SC1 for both answers withcomponents of (a) and coordinates of(b) reversed. 3 i.e. for (a) and (–1, –2) for (b) 1 [8] UCLES 20079Dwebsite.tk

First variant Mark SchemePage 312Mark SchemeIGCSE – May/June 2007Syllabus0580/0581(y ) 3x 1B2B1 for mx – 1 or 3x c where m andc are integers with m 0 andc 5.13(a)(b)(c)103 2B1B1B1SC2 for 410, 23 and 5–2.SC1 for two of the above14(a)250 1.19886M1Allow division by 1.19 to 1.2208 to 210.084 .A11.20B1(b)3606(x ) 120(y ) 150M1A1B1ft(a)15 5.40 5 3 8016M1A1(b)20B1ft1516Paper01180 –One and only one zero is essentialAlt. (2 6 – 4) 90 6 oe360 – (90 their x) ft if positiveww. reversed answers 2 marks.360Alt. (y first) 90 M1 150 A16(x ) 120 B1ftft their (a) 80 100(provided profit 0)If 0 scored in parts (a) and (b) allowSC1 for 96 seen[14] UCLES 20079Dwebsite.tk

First variant Mark SchemePage 4171819Mark SchemeIGCSE – May/June 2007(a)5.1 108(b)29.4 their (a)/ 100art 1.5 108 oe(a)(AB2 ) 12002 90021500(b)tan ( ) 900/1200 oeart 36.9(a)(b)263Correct construction with /0581Paper01B1 for 5.1 10n where n is an integergreater than 1Calculator form; penalise 1 markeach form.May revert to given value.Answer does not need to be instandard form. (e.g. 149940000)If M0, SC1 for 3.6 108Indicated by 2250000 seenAllow art 1500 if sin or cos used and(b) done before (a).For sin or cos method allow their (a)for M1 only.B1 without arcs, accuracy 2mmSC1 for ‘correct’ mirror image witharcs.[12]2021(a) (i)(a) (ii)B1M150Sum divided by 1543.9(3 .)(a) (iii) Attempt to order estimates47(Low) Extreme values oe(b)A1M1A1B130 60 (seconds)90 (seconds)D to E1280(m)400 usedM1A1B1B1B1their (c)(i) divided by 400 (only)3.2M1(a)(b)(c) (i)(c) (ii)A1ftIndicated by answer of 43 to 45 orcalculation shown.(Total 659)Must be at least 7 valuesTwo very low values etc.Must not refer to extreme highvalues.SC1 for 30 or 60 seen.Any clear indication of sectionAllow 1270 to 1280Also indicated by310 or (400 – their (a)).ft correct to 3 significant figures.[13] UCLES 20079Dwebsite.tk

Second variant Mark SchemePage 5Mark SchemeIGCSE – May/June 2007 5120.79 B1B14 81%5Syllabus0580/0581Paper01Accept answer in alternative formprovided equivalence is clear.7 (h) 45 (min)24NegativeJanB1B1B1B113.2125 180 or360 their acute angle at LB1M1305A1 1 3 B1(–2, –1)B13x2 2xy or x(3x 2y)B2B1 for 4x2 x2 2xy orx(4x – x 2y)seen.SC1 for answer 3x2 2xy oe or3x2 seen in final answer of 2 terms.1080 B211 (a)(b)Equilateral(Triangular) prismB1B1B1 for 35 or 45 seen on diagram orclear in working that angle BCD is35º or angle DCE is 45 .Minimum - arc seen in diagram.Not equal.If qualified must be triangular(or triangle).3456 (a)(b)78 (a)(b)9Not just –10.2 but ignore if included.Allow 13.2Must be clearly indicated in workingor diagram.[9]SC1 for both answers withcomponents of (a) and co-ordinates of(b) reversed. 3 i.e. for (a) and (–1, –2) for (b) 1 [8] UCLES 20079Dwebsite.tk

Second variant Mark SchemePage 6Mark SchemeIGCSE – May/June 2007Syllabus0580/0581Paper0112(y ) 2x 3 oeB2B1 for mx – 3 or 2x c where m andc are integers with m 0 andc 313 (a)(b)(c)95 2B1B1B1SC2 for 39, 25 and 6–2.SC1 for two of the above14 (a)270 1.19886M1Allow division by 1.19 to 1.2225 to 226.891A11.20B1(b)153606(x ) 120(y ) 150M1A1B1ft15 5.80 5 3 901213(.3 .)M1A1B1ft180 –16 (a)(b)One and only one zero is essential.Alt. (2 6 – 4) 90 6360 – (90 their x) ft if positiveww. reversed answers 2 marks.360Alt. (y first) 90 M1 150 A16(x ) 120 B1ftft their (a) 90 100(provided profit 0)If 0 scored in parts (a) and (b) allowSC1 for 102 seen.[14] UCLES 20079Dwebsite.tk

Second variant Mark SchemePage 717 (a)(b)18 (a)(b)19 (a)(b)(c)Mark

June 2003 INTERNATIONAL GCSE MARK SCHEME MAXIMUM MARK: 56 SYLLABUS/COMPONENT: 0580