Cambridge IGCSE Mathematics - International 0607 — 2025 May/June Paper 3 · Variant 2

This document has 12 pages. [Turn over Cambridge IGCSE™ * 4 0 4 3 2 7 2 9 4 5 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 Calculator (Core) May/June 2025 1 hour 15 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. ● You should use a graphic display calculator where appropriate. ● You may use tracing paper. ● You must show all necessary working clearly. You will be given marks for correct methods, including sketches, even if your answer is incorrect. ● Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question. ● For r, use either your calculator value or 3.142. INFORMATION ● The total mark for this paper is 60. ● The number of marks for each question or part question is shown in brackets [ ]. DC (DE/SG) 341797/3 © UCLES 2025 ,










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2 0607/32/M/J/25 © UCLES 2025 List of formulas Area, A, of triangle, base b, height h. A = bh 2 1 Area, A, of circle of radius r. A = r2 r Circumference, C, of circle of radius r. C = 2rr Curved surface area, A, of cylinder of radius r, height h. A = 2rrh Curved surface area, A, of cone of radius r, sloping edge l. A = rrl Surface area, A, of sphere of radius r. A = r 4 2 r Volume, V, of prism, cross-sectional area A, length l. V = Al Volume, V, of pyramid, base area A, height h. V = Ah 3 1 Volume, V, of cylinder of radius r, height h. V = r h 2 r Volume, V, of cone of radius r, height h. V = r h 3 1 2 r Volume, V, of sphere of radius r. V = r 3 4 3 r * 0000800000002 * ,










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3 0607/32/M/J/25 © UCLES 2025 [Turn over 1 Jamal buys 5 packets of lentils. He pays with $10. He receives $2.75 change. Work out the cost of one packet of lentils. $ … [2] 2 Work out . . . 1 2 3 5 7 3 + . Give your answer correct to 4 decimal places. … [2] 3 A factory makes 578 880 cookies every 24 hours. (a) Show that 402 cookies are made every minute. [2] (b) The cookies are sold in packets of 6. Work out how many packets of 6 are made every minute. … [1] * 0000800000003 * ,










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4 0607/32/M/J/25 © UCLES 2025 4 ( )x x 5 7 f = - Complete the mapping diagram. … 2 … x 13 f(x) [2] 5 These are 6 number cards. 2 3 4 9 16 20 Use 4 of these cards to complete the equivalent fractions. 12 = 12 = [2] 6 Solve. . . x x 7 13 2 2 0 8 - = + x = … [2] * 0000800000004 * ,










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5 0607/32/M/J/25 © UCLES 2025 [Turn over 7 A shape is drawn on a 1 cm2 grid. x° (a) Work out the area of the shape. … cm2 [1] (b) Use trigonometry to find the value of x. x = … [2] 8 ( ) A x y 2 1 2 = + (a) Find the value of A when . x 7 23 = and . y 2 16 = . A = … [2] (b) Find the value of x when . A 9 47 = and . y 1 89 = . x = … [2] * 0000800000005 * ,










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6 0607/32/M/J/25 © UCLES 2025 9 Pirupak walks 220 metres in 2.25 minutes. (a) Show that 2.25 minutes = 135 seconds. [1] (b) Work out Pirupak’s speed in metres per second. … m/s [1] 10 The cost of a laptop is $3200. In a sale, the cost of this laptop is reduced to $2816. Work out the percentage reduction. …% [2] * 0000800000006 * ,










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7 0607/32/M/J/25 © UCLES 2025 [Turn over 11 NOT TO SCALE The diagram shows a regular 5-sided polygon. (a) Write down the mathematical name for this polygon. … [1] (b) Work out the size of one interior angle of this polygon. … [2] * 0000800000007 * ,










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8 0607/32/M/J/25 © UCLES 2025 12 The diagram shows a straight line joining point A (-4, -1) and point B (4, 3). y x 1 – 1 – 1 1 2 3 4 5 – 2 – 3 – 4 – 5 0 – 2 – 3 2 3 4 5 6 A B (a) Find the coordinates of the midpoint of AB. ( … , …) [1] (b) Work out the gradient of AB. … [2] (c) Find the equation of AB. … [2] * 0000800000008 * ,










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9 0607/32/M/J/25 © UCLES 2025 [Turn over 13 M A B D H F C G 8 cm E NOT TO SCALE The diagram shows a shape made from a square of side 8 cm and four equilateral triangles. (a) Write down the length of DE. DE = … cm [1] (b) Write down the size of angle FDE. Angle FDE = … [1] (c) M is the midpoint of FD. Show that . EM 6 93 = correct to 3 significant figures. [3] (d) Work out the total area of the shape. … cm2 [3] * 0000800000009 * ,










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10 0607/32/M/J/25 © UCLES 2025 14 8 people train for a charity run. The number of hours that they train and the distance they run is shown in the table. Number of hours 2 3 5 5 6 7 8 10 Distance (km) 3 7 7 9 12 13 15 18 (a) Complete the scatter diagram. The first four points have been plotted for you. 20 15 10 5 0 0 1 2 3 4 5 Number of hours 6 7 8 9 10 Distance (km) [2] (b) Write down the type of correlation shown in the scatter diagram. … [1] (c) Work out (i) the mean number of hours … h [1] (ii) the mean distance. … km [1] (d) On the diagram, draw a line of best fit. [2] * 0000800000010 * ,










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11 0607/32/M/J/25 © UCLES 2025 [Turn over 15 Shaila invests $2000 at a rate of 1.3% per year compound interest. Calculate the amount of interest she receives at the end of 3 years. $ … [3] 16 Rohan goes for a holiday to Europe. He changes $2000 into euros (€) at an exchange rate of $1 = €0.9759 . (a) Show that Rohan receives €1951.80 . [1] (b) In Europe, Rohan spends €1500. He changes the remaining euros back to dollars ($) at the same exchange rate. Calculate the amount Rohan receives. $ … [2] Question 17 is printed on the next page. * 0000800000011 * ,









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12 0607/32/M/J/25 © UCLES 2025 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. 17 y x 10 – 10 – 10 10 0 (a) On the diagram, sketch the graph of y x x 2 3 6 = - + for values of x between -10 and 10. [3] (b) Find the coordinates of the point where the graph crosses the x-axis. ( … , …) [1] (c) On the diagram, sketch the graph of y x = for values of x between -10 and 10. [1] (d) Find the coordinates of the points of intersection of y x x 2 3 6 = - + and y x = . (… , …) and (… , …) [2] * 0000800000012 * ,









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This document consists of 9 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) May/June 2025 MARK SCHEME Maximum Mark: 60 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 2025 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 2 of 9 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.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 3 of 9 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.

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 4 of 9 Annotations guidance for centres Examiners use a system of annotations as a shorthand for communicating their marking decisions to one another. Examiners are trained during the standardisation process on how and when to use annotations. The purpose of annotations is to inform the standardisation and monitoring processes and guide the supervising examiners when they are checking the work of examiners within their team. The meaning of annotations and how they are used is specific to each component and is understood by all examiners who mark the component. We publish annotations in our mark schemes to help centres understand the annotations they may see on copies of scripts. Note that there may not be a direct correlation between the number of annotations on a script and the mark awarded. Similarly, the use of an annotation may not be an indication of the quality of the response. The annotations listed below were available to examiners marking this component in this series. Annotations Annotation Meaning More information required Accuracy mark awarded zero Accuracy mark awarded one Accuracy mark awarded two Accuracy mark awarded three Independent mark awarded zero Independent mark awarded one Independent mark awarded two Independent mark awarded three Benefit of the doubt Communication mark Incorrect Follow through Highlighter Highlight a key point in the working Ignore subsequent work Method mark awarded zero Method mark awarded one

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 5 of 9 Annotation Meaning Method mark awarded two Method mark awarded three Misread Omission Off-page comment Allows comments to be entered at the bottom of the RM marking window and then displayed when the associated question item is navigated to. On-page comment Allows comments to be entered in speech bubbles on the candidate response. Premature rounding/approximation Special case Indicates that work/page has been seen Transcription error Correct Correct answer from incorrect working

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 6 of 9 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

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 7 of 9 Question Answer Marks Partial Marks 1 1.45 2 M1 for 10 2.75 5 − 2 1.5532 2 B1 for 1.55319… or M1 for their answer seen to more than 4 decimal places correctly rounded to 4 decimal places. 3(a) 578 880 24 60 oe   M2 M1 for 578 880 24 or 578 880 60   or for 24 60  soi 3(b) 67 1 4 3 4 2 B1 for each 5   12 3 9 4 12 16 = = or   12 4 16 3 12 9 = = 2 B1 for 2 numbers in the correct place 6 2.8 or equivalent fraction 2 M1 for 7 2 0.8 13.2 x x − = + or better 7(a) 12 1 7(b) 63.4 or 63.43… 2 M1 for  2 tan 1 x = 8(a) 5.775 2 M1 for ( ) 1 7.23 2 2.16 2 +  8(b) 15.16 2 M1 for ( ) 1 9.47 2 1.89 2 x = +  9(a)  2 60 0 .25 60  +  soi or 2.25 60  1 9(b) 1.63 or 1.629 to 1.630 1 10 12 2 M1 for 2816 100 100 3200 −  or   3200 2816 100 3200 −  11(a) pentagon 1 11(b) 108 2 M1 for ( ) 5 2 180 360 or 1 80 oe 5 5 −  − or B1 for 72

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 8 of 9 Question Answer Marks Partial Marks 12(a) (0, 1) 1 12(b) 0.5 or 1 2 oe 2 M1 for appropriate triangle with lengths marked on and rise run their their oe or 3 1 4 4 −− −− oe 12(c) 1 1 2 = + y x 2 M1 for 1 2 = + y x c , any c or 1 1, 0 or 1 2 y mx m x = +  + FT their gradient in part (b) for 2 marks or 1 mark 13(a) 8 1 13(b) 60 1 13(c) 2 2 8 4 = − EM or 8sin 60 or 8cos 30 or 4tan 60 M2 M1 for 2 2 2 8 4 EM = + or sin60 8 = EM or cos30 8 = EM or tan60 4 = EM = 6.928… A1 13(d) 175 or 174.8 to 174.9 3 M1 for 8×8 soi M1 for 1 8 6.93 2  14(a) 4 points correctly plotted 2 M1 for 2 points correctly plotted 14(b) positive 1 14(c)(i) 5.75 1 14(c)(ii) 10.5 1 14(d) Correct ruled line of best fit through their mean 2 B1 for ruled line with positive gradient through their mean but not in tolerance or in tolerance but not through their mean. 15 79.02 3 B2 for 2079 or 2079.018… OR M2 for 3 1.3 2000 1 2000 100   + −     or M1 for 3 1.3 2000 1 100   +    

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 9 of 9 Question Answer Marks Partial Marks 16(a) 2000 × 0.9759 1 16(b) 462.96 2 M1 for 1951.80 1500 0.9759 − oe 17(a) Correct sketch 3 B1 for each branch B1 for the intention of a vertical asymptote between x = 1 and x = 5. 17(b) (–2, 0) 1 17(c) Correct ruled line 1 17(d) (– 1, – 1) and (6, 6) 2 B1 for each