This document consists of 11printed pages.© Cambridge University Press & Assessment2024[Turn overCambridge IGCSE™MATHEMATICS0580/42Paper 4 (Extended)February/March2024MARK SCHEMEMaximum Mark: 130PublishedThis 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 f or Teachers.Cambridge International will not enter into discussions about these mark schemes.Cambridge International is publishing the mark schemes f or the February/March2024series f or most CambridgeIGCSE, Cambridge International A and AS Levelcomponents, and some Cambridge O Level components.
0580/42Cambridge IGCSE–Mark SchemePUBLISHEDFebruary/March2024© Cambridge University Press & Assessment2024Page 2of 11Generic Marking PrinciplesThese 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.
0580/42Cambridge IGCSE–Mark SchemePUBLISHEDFebruary/March2024© Cambridge University Press & Assessment2024Page 3of 11Mathematics-Specific Marking Principles1Unless 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.2Unless 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.3Allow alternative conventions for notation if used consistently throughout the paper, e.g. commas being used as decimal points.4Unless otherwise indicated, marks once gained cannot subsequently be lost, e.g. wrong working following a correct form of answer is ignored (isw).5Where 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.6Recovery within working is allowed, e.g. a notation error in the working where the following line of working makes the candidate’s intent clear.
0580/42Cambridge IGCSE–Mark SchemePUBLISHEDFebruary/March2024© Cambridge University Press & Assessment2024Page 4of 11Abbreviationscaocorrect answer onlydepdependentFTfollow through after erroriswignore subsequent workingoeor equivalentSCSpecial Casenfwwnot from wrong workingsoiseen or impliedQuestionAnswerMarksPartial Marks1(a)8.24 cao2M1 for3 1.04 4 1.28 + 1(b)(i)322M1 for810011 8 6++oe1(b)(ii)3602M1for150011 8 6k++where k= 1 , 11, 8 or 61(b)(iii)2701FT 0.75 × their3601(b)(iv)1.25 cao2M1 for 811.15100x −=oe or better1(c)140 nfww3M2for620 to 6405 0.5−or620 104 to 5+oeor M1for620 +10 oe or 620 –10 oe or5 + 0.5 oe or 5 –0.5 oe seen2(a)angle180yBCD+=oeANDangles on a straight lineAND angle180xBCD+=oeANDopposite angles of a cyclic quadrilateral are supplementaryOR angles in opposite segments are supplementaryleading to x= y with no errorsB2B1 for angles on a straight lineORopposite angles of a cyclic quadrilateral are supplementaryOR angles in opposite segments are supplementary
0580/42Cambridge IGCSE–Mark SchemePUBLISHEDFebruary/March2024© Cambridge University Press & Assessment2024Page 5of 11QuestionAnswerMarksPartial Marks2(b)Allow any two statements from:CXDis common angle or angle AXB= angle CXDx = yor angle BAX= angle DCXangleangleABXCDX=M1States all three equal pairs of angles OR 2/all angles equal so triangles similarA12(c)(i)6 nfww3B2 for BX= 18 nfwwor M2for 2412129BC+=oe orM1for 24129BX=oeIf 0 scored, SC1for answer 182(c)(ii)413(a)(i)513(a)(ii)16.83M1 for 15 × 4 + 16 [× 1] + 17 × 2 + 18 [× 1 ][+ 19 × 0] + 20 × 2 oeM1dep on previous M1 for theirΣfx÷103(a)(iii)16.513(a)(iv)1513(b)213M2 for 8 17.5 and 7 17oeor M1for 7 17or8 17.5oe seen3(c)5 correct blocks, with correct widths, heights 0.8cm, 1.8cm 7cm, 4cm, 1cm4B3for 4 correct blocksor B2for 3 correct blocksorB1 for 2 correct blocks If 0 scored SC1for correct frequency densities(0.40.93.520.5) soi4(a)(i)4322M1for 12 × 12 × 9 ÷ 3 oe
0580/42Cambridge IGCSE–Mark SchemePUBLISHEDFebruary/March2024© Cambridge University Press & Assessment2024Page 6of 11QuestionAnswerMarksPartial Marks4(a)(ii)404 or 403.5 to 403.75M4 for 222112412692+ +oeorM3for 22112692 +oeor M2for explicit method to find height of triangular facee.g. 2269+oeor M1for implicit method to find height of triangular faceor for 2269+oe seenor B1for slant height of triangleFC153or 317or 12.4 or 12.36 to 12.37 soi4(b)4.4[0]or 4.398 to 4.399... nfww4M3for()30423π+oeor M2for 24ππ 3 3042rrr+ =oeor M1for 24π2roe seen or π3rroe seen5(a)(i)()()43xx−+final answer2M1for ()()x a x b++where ab= −12 or a + b = −1or for ()()()()343 or434x xxx xx+ − +− + −5(a)(ii)43xx++final answer2M1for()()44xx−+seen5(b)23148xx−+or ()()4 32xx−−final answer3M2for ()()()()()()231231xxxx− − +− + +or ()()2246691xxxxx x− − + − + + +or betteror correct answer seenorM1 for ()4 ()xax b−+or ()32 ()xx c−+or()24669xxx−−+or ±()21xx x+++oe5(c)()()231213xxxx−−+−or 2231223xxxx−−−−final answer4B1 for common denominator ()()13xx+−oe iswB1for()()()2431xxx x+− − +or better seenB1for226412xxx− + −or 2xx−−seen
