This document consists of 10 printed pages. © Cambridge University Press & Assessment 2024 [Turn overCambridge IGCSE™MATHEMATICS0580/41 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.
0580/41 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.
0580/41 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.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
0580/41 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 4 of 10 Question Answer Marks Partial Marks 1(a)(i) 4.55 or 4.545... 1 1(a)(ii) 50 : 263 : 400 cao 2 M1for a correct simplification from 250000 : 1315000 : 2000000 1(a)(iii) 83 cao 3 M2 for 1433100 60 10 100oe or M1 for 100 – 60 – 10 seen 1(a)(iv) 10 200 000 cao 3 B2 for 10185185 to 10185200 or M1 for 5500000 ÷ 27 [× 50] 1(a)(v) 3.19 × 107 or 3.190... × 1073 B2 for 31903920 or M1 for 60.7 × 60 × 24 × 365 If B0 scored SC1 for correctly converting their number seen to standard form to 3sf or better1(b) 2095 nfww 3 M2 for 6445 – C where 4300 ⩽C < 4400 oe or A – 4350 where 6440 < A ⩽ 6450 oe or M1 for 6440 +5 or 6440 –5 or 4400 + 50 or 4400 – 50 seen oe 2(a)(i) Triangle at (2, 1) (1, 3) (5, 3) 1 2(a)(ii) Triangle at (–4, –5) (–3, –3) (0, –5) 2 B1 for translation by 5k or 2k2(a)(iii) Triangle at (–2.5, 2) (–4, 3) (–2, 3) 2 B1 for enlargement by sf 12with any centre2(b) 14.4 3 M2 for [10 ×] 32 × 225oe or M1 for 32 or 225 soi3(a)(i) 802 M1 for 215843(a)(ii) 5 2 M1 for 215 4[]2.4y oe
0580/41 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 5 of 10 Question Answer Marks Partial Marks 3(b) 523(1)(2 5)xxxor 2523235xxxfinal answer 3 B1 for 4(2x + 5) –3(x – 1) oe isw B1 for common denominator = (x – 1) (2x + 5) oe isw 3(c) 2x3 –13x2 + 8x + 48 final answer 3 B2 for correct expansion of 3 brackets but unsimplified or for simplified four-term expression of correct form with 3 terms correct or B1 for correct expansion of two brackets with at least 3 terms out of 4 correct 3(d) 1268xy or 1268 xyfinal answer 3 B2 for two elements correct in final answer or for correct answer seen then spoiled or for correct expression where all parts of the power have been dealt with or for 1 or 3422xyor B1 for 8 or y6 or 6yor x12 correct in final answer or for 3164816xy or 3242yx4(a)(i) 9.3 1 4(a)(ii) 3.4 1 4(a)(iii) 63 5 M4 for 195 3600 195 360061000131000oe or M3 for 195 360061000 oe or 195 3600131000oe or for ( 195 195) 613k oe OR M1 for 1956 or 19513 or their speed36001000 seenM1 for selecting 6 and 13
0580/41 Cambridge IGCSE – Mark Scheme PUBLISHEDMay/June 2024© Cambridge University Press & Assessment 2024 Page 6 of 10 Question Answer Marks Partial Marks 4(b)(i) 420 < d⩽ 450 1 4(b)(ii) 411.25 4 M1 for 275, 350, 410, 435, 475 soi M1 for M1 dep for their ÷ 804(b)(iii) 2.6 19 14 3 B1 for each If 0 scored, SC1 for 3 of 0.14, 0.13, 0.95 or 0.7 oe 4(b)(iv) 7158oe 3 M2 for 207280 79oe or M1 for 207or8079or 780 or2079 oe seen After 0 scored, SC1 for 7160oe 5(a)(i) 4122 B1 for each5(a)(ii) 12 + 72 M1 52 + ([–]5)2 M1 Both 50oe A1 With no errors seen If M0M0A0 scored SC1 for 50 oe for each 5(a)(iii) 44.4 or 44.42[8...] to 44.435 2 FT their (a)(ii) correct to 3sf or better M1 for 2 × × their50oe5(a)(iv) (3, 1) 2 B1 for each fxfx
