Cambridge IGCSE Mathematics - International 0607 — 2024 Oct/Nov Paper 2 · Variant 3

This document has 8 pages. [Turn over Cambridge IGCSE™ DC (CE/FC) 337420/1 © UCLES 2024 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/23 Paper 2 (Extended) October/November 2024 45 minutes You must answer on the question paper. You will need: Geometrical instruments INSTRUCTIONS ● Answer all questions. ● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs. ● Write your name, centre number and candidate number in the boxes at the top of the page. ● Write your answer to each question in the space provided. ● Do not use an erasable pen or correction fluid. ● Do not write on any bar codes. ● Calculators must not be used in this paper. ● You may use tracing paper. ● You must show all necessary working clearly and you will be given marks for correct methods even if your answer is incorrect. ● All answers should be given in their simplest form. INFORMATION ● The total mark for this paper is 40. ● The number of marks for each question or part question is shown in brackets [ ]. * 2 7 5 6 4 8 9 1 0 9 * ,










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2 0607/23/O/N/24 © UCLES 2024 Formula List For the equation ax bx c 0 2 + + = x a b b ac 2 4 2 ! = - - Curved surface area, A, of cylinder of radius r, height h. r A rh 2 = Curved surface area, A, of cone of radius r, sloping edge l. r A rl = Curved surface area, A, of sphere of radius r. r A r 4 2 = Volume, V, of pyramid, base area A, height h. V Ah 3 1 = Volume, V, of cylinder of radius r, height h. r V r h 2 = Volume, V, of cone of radius r, height h. r V r h 3 1 2 = Volume, V, of sphere of radius r. r V r 3 4 3 = sin sin sin A a B b C c = = cos a b c bc A 2 2 2 2 = + - sin bc A 2 1 Area = A C B c b a * 0000800000002 * ,










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3 0607/23/O/N/24 © UCLES 2024 [Turn over Answer all the questions. 1 (a) Draw the line of symmetry on the diagram. [1] (b) Shade four small squares so that the diagram has rotational symmetry of order 4. [1] 2 Write these in order of size starting with the smallest. 0.329 27 9 30% 8 3 … , … , … , … [2] smallest 3 By writing each number correct to 1 significant figure, work out an estimate for . . . . 29 7 8 85 6 98 5 86 # - . … [2] 4 x 9 = Write down the values of x. … [1] * 0000800000003 * ,










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4 0607/23/O/N/24 © UCLES 2024 5 (a) Write 67 200 000 in standard form. … [1] (b) Work out ( ) 3 10 100 4 # # . Give your answer in standard form. … [2] 6 A regular polygon has 8 sides. (a) Write down the mathematical name of this polygon. … [1] (b) Find the size of one exterior angle of the polygon. … [2] 7 ( )x x bx c f 2 = + + The solutions to ( )x 0 f = are x 2 =- and x 5 = . Find the value of b and the value of c. b = … c = … [2] * 0000800000004 * ,










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5 0607/23/O/N/24 © UCLES 2024 [Turn over 8 Simplify 18. … [1] 9 B A O 60° 70° E D C NOT TO SCALE A, B, C, D and E are points on the circle centre O. AD is a diameter and EC is a straight line. Find angle EOD. Angle EOD = … [2] 10 Rearrange the formula to make d the subject. d e ed 3 2 1 - = + d = … [3] * 0000800000005 * ,










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6 0607/23/O/N/24 © UCLES 2024 11 A bag contains blue pens and green pens. Zoe takes a pen from the bag at random, records the colour and replaces the pen. She then takes a second pen from the bag at random. The probabilities are shown in the tree diagram. Blue Green Blue Green Blue Green 4 1 4 1 4 3 4 3 4 1 4 3 (a) There are 40 pens in the bag. Find the number of blue pens. … [1] (b) Find the probability that Zoe takes a blue pen and then a green pen. … [2] (c) Find the probability that Zoe takes at least one blue pen. … [2] * 0000800000006 * ,










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7 0607/23/O/N/24 © UCLES 2024 [Turn over 12 Simplify fully. (a) ( ) 2 2 4 … [2] (b) ( ) a b 2 3 5 … [2] 13 Factorise fully. x y 9 81 4 2 - … [3] 14 (a) logx 4 = Write down the value of x. x = … [1] (b) Find the value of y when log log log y 3 2 3 = + . y = … [2] Question 15 is printed on the next page. * 0000800000007 * ,










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8 0607/23/O/N/24 © UCLES 2024 Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. Cambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which is a department of the University of Cambridge. 15 x x x 1 1 2 4 2 1 - - + = Show that . x x 3 0 2 - - = [4] * 0000800000008 * ,










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This document consists of 6 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/23 Paper 2 (Extended) October/November 2024 MARK SCHEME Maximum Mark: 40 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 October/November 2024 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

0607/23 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 2 of 6 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.

0607/23 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 3 of 6 Mathematics-Specific Marking Principles 1 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. Ignore superfluous 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.

0607/23 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 4 of 6 MARK SCHEME NOTES The following notes are intended to aid interpretation of mark schemes in general, but individual mark schemes may include marks awarded for specific reasons outside the scope of these notes. Types of mark M Method marks, awarded for a valid method applied to the problem. A Accuracy mark, awarded for a correct answer or intermediate step correctly obtained. For accuracy marks to be given, the associated Method mark must be earned or implied. B Mark for a correct result or statement independent of Method marks. When a part of a question has two or more ‘method’ steps, the M marks are in principle independent unless the scheme specifically says otherwise; and similarly where there are several B marks allocated. The notation ‘dep’ is used to indicate that a particular M or B mark is dependent on an earlier mark in the scheme. Abbreviations awrt answers which round to cao correct answer only dep dependent FT follow through after error isw ignore subsequent working nfww not from wrong working oe or equivalent rot rounded or truncated SC Special Case soi seen or implied Question Answer Marks Partial Marks 1(a) correct diagonal line drawn 1 1(b) 1 2 30% 0.329 9 3 27 8 2 M1 for all four in same form unordered or for three correctly ordered 3 7 6 30 9  − M1 2 final answer A1 4 9, –9 only 1 5(a) 6.72  107 cao 1

0607/23 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 5 of 6 Question Answer Marks Partial Marks 5(b) 3  106 cao 2 M1 for 3 000 000 or [100=]102 6(a) octagon 1 6(b) 45 final answer 2 M1 for 360 8 or for 135 seen or (8 2) 180 8 −  oe 7 [b =]–3 [c=]–10 2 B1 for either correct or M1 for ( 2)( 5) x x + − or better seen or for 4 2 0 b c − + = and 25 5 0 b c + + = 8 3√2 1 9 100 2 B1 for EAD = 50 or AOE = 80 10 1 2 [ ] 3 e d e + = − final answer 3 M1 for correctly isolating d M1 for factorising M1 for dividing Maximum M2 if final answer incorrect 11(a) 10 1 11(b) 3 16 oe 2 M1 for 1 3 4 4  11(c) 7 16 2 M1 for 3 3 1 4 4 −  or 1 1 1 3 3 1 4 4 4 4 4 4        +  +              12(a) 64 2 M1 for 4 4 2 ( 2)  oe 12(b) 15 5 32a b 2 M1 for 15 5 ka b or 5 32 ka b or 15 32 k a b 13 2 2 9( 3 )( 3 ) x y x y − + final answer 3 M2 for 2 2 (3 9 )(3 9 ) x y x y − + or M1 for 4 2 ( ) k ax by − where 3 or 9 k = 14(a) 10 000 or 104 1 14(b) 24 2 M1 for one correct use of log rules

0607/23 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2024 © Cambridge University Press & Assessment 2024 Page 6 of 6 Question Answer Marks Partial Marks 15 Correctly combining fractions for LHS M1 e.g. 2 4 ( 1) ( 1)(2 4) x x x x x + − − − + [= 1 2 ] oe Correctly eliminating fractions M1 e.g. 2(2 4 ( 1)) ( 1)(2 4) x x x x x + − − = − + Correctly expanding brackets M1 e.g. 2 2 6 8 2 2 2 4 x x x x + − = + − Correct division by 2 or 4 leading to 2 3 0 x x − − = M1 AG Max mark 3 if any error seen