This document consists of 10 printed pages. © Cambridge University Press & Assessment 2024 [Turn overCambridge IGCSE™MATHEMATICS0580/42 Paper 4 (Extended) May/June 2024 MARK SCHEME Maximum Mark: 130 Published 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 indicate 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 Examiner Report for Teachers. Cambridge International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the May/June 2024 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.
0580/42 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 2 of 10 Generic Marking Principles These general marking principles must be applied by all examiners when marking candidate answers. They should be applied alongside the specific content of the mark scheme or generic level descriptions for a question. Each question paper and mark scheme will also comply with these marking principles. GENERIC MARKING PRINCIPLE 1: Marks must be awarded in line with: the specific content of the mark scheme or the generic level descriptors for the question the specific skills defined in the mark scheme or in the generic level descriptors for the question the standard of response required by a candidate as exemplified by the standardisation scripts. GENERIC MARKING PRINCIPLE 2: Marks awarded are always whole marks (not half marks, or other fractions). GENERIC MARKING PRINCIPLE 3: Marks must be awarded positively: marks are awarded for correct/valid answers, as defined in the mark scheme. However, credit is given for valid answers which go beyond the scope of the syllabus and mark scheme, referring to your Team Leader as appropriate marks are awarded when candidates clearly demonstrate what they know and can do marks are not deducted for errors marks are not deducted for omissions answers should only be judged on the quality of spelling, punctuation and grammar when these features are specifically assessed by the question as indicated by the mark scheme. The meaning, however, should be unambiguous. GENERIC MARKING PRINCIPLE 4: Rules must be applied consistently, e.g. in situations where candidates have not followed instructions or in the application of generic level descriptors. GENERIC MARKING PRINCIPLE 5: Marks should be awarded using the full range of marks defined in the mark scheme for the question (however; the use of the full mark range may be limited according to the quality of the candidate responses seen). GENERIC MARKING PRINCIPLE 6: Marks awarded are based solely on the requirements as defined in the mark scheme. Marks should not be awarded with grade thresholds or grade descriptors in mind.
0580/42 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 3 of 10 Mathematics-Specific Marking Principles1 Unless a particular method has been specified in the question, full marks may be awarded for any correct method. However, if a calculation is required then no marks will be awarded for a scale drawing.2 Unless specified in the question, non-integer answers may be given as fractions, decimals or in standard form. Ignoresuperfluous zeros, provided that the degree of accuracy is not affected.3 Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points.4 Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw).5 Where a candidate has misread a number or sign in the question and used that value consistently throughout, provided that number does not alter the difficulty or the method required, award all marks earned and deduct just 1 A or B mark for the misread.6 Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate’s intent clear.
0580/42 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 4 of 10 Abbreviationscao correct answer only dep dependent FT follow through after error isw ignore subsequent working oe or equivalent SC Special Case nfww not from wrong working soi seen or implied Question Answer Marks Partial Marks 1(a) 10 : 3 final answer 2 M1 for 1500 : 450 oe in ratio form If 0 scored SC1 for answer 3 : 101(b) 360 240 400 3 B2 for answer 0.36 0.24 0.4 or for answer two of 360 240 400 or M1 for 1000[]9610kwhere k = 1, 9, 6 or 10 If 0 scored, SC1 for answer with 3 values in ratio 9 : 6 : 10 in that order1(c) 3.68 cao 2 M1 for 1513.2100oe or B1 for answer 0.48 1(d) 18804[.0...] 2 1 for 52.516 6201100oe 1(e) 3.95 3 M2 for 22.5 – (18.5 to 18.6) or (22 to 23) −18.55 or M1 for 23 – 0.5 oe seen or 23 + 0.5 oe seen or 18.5– 0.05 oe seen or 18.5 + 0.05 oe seen 2(a) 142 142 2 B1 for each FT angle b = their angle a2(b) 150 2 M1 for 36012 oe isw or18012 2oe isw
0580/42 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 5 of 10 Question Answer Marks Partial Marks 2(c) 56 B1 34 B2 M1 for angle at centre = 2 × their 56 oe soi or for angle OMB = 90 oe soi2(d) 51 2 B1 for opp angle = 129 soi 3(a)(i) 25.4375 4 M1 for mid-points soi (5, 17.5, 32.5, 50) M1 for use of fm with m in correct interval including both boundaries M1 for (dep on 2nd M1) for fm 40 3(a)(ii) correct histogram 3 B2 for 3 correct blocks or B1 for 2 correct blocks If 0 scored SC1 for 4 correct frequency densities 0.3, 1.2, 1, 0.2 oe soi3(a)(iii) 19260oe 3 M2 for 193240 39oe or M1 for any of 1940, 340, 1939, 339 oe seen If 0 scored, SC1 for 57800oe3(b)(i) 5 1 3(b)(ii) Correct box plot 3 B2 for with LQ at 8 and median at 22 and UQ at 27 and boxed or M1 for LQ at 8 and median at 22 or for UQ at 27 B1 for lowest = 5 and highest = 30 Max B1 if not box and whisker diagram8 22 27 30 5
0580/42 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 6 of 10 Question Answer Marks Partial Marks 3(b)(iii) Correct explanation which states the median is 22 and correct reference to 100 or 101 e.g. Median is 22 which is 50% of the people and 101 is more than 50% oe The median is 22 which is the 100th number (accept 100.5thnumber) 1 4(a)(i) 22620 cao 3 B2 for 7200 or 22608 to 22629 or M1 for 2112 [ figs 1]2 oe4(a)(ii) 8840 or 8850 or 8836 to 8850. 5 M1 for cos COM =612oe or sin AOC = 612oeM1 for 212360their CODoe M1 for2112sin2their CODoeM1dep for (their area of sector COD– their area of triangle COD) 100 dep on at least M1M1 oe 4(b) 647 or 646.8 3 M2 for 2.242 35 0.2m oe or M1 for [vol of stone =] 42×35×0.2 oe If 0 scored SC1 for answer figs 647 or figs 6468 4(c) 46.1 or 46.12 to 46.14 4 M3 for 2215tan812oe or M2 for 82 + 122 oe or 82 + 122 + 152 oe or M1 for identifying the angle GAC5(a) 9125x final answer2 B1 for answer125kxor9mxor for correct answer seen then spoiltM
