Cambridge IGCSE Mathematics - International 0607 — 2025 May/June Paper 1 · Variant 3

This document has 12 pages. [Turn over Cambridge IGCSE™ * 4 7 4 3 9 8 3 3 5 8 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 Non-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. ● Calculators must not be used in this paper. ● You may use tracing paper. ● You must show all necessary working clearly. You will be given marks for correct methods even if your answer is incorrect. 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/CB) 341828/1 © UCLES 2025 ,










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2 0607/13/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 0607/13/M/J/25 © UCLES 2025 [Turn over Calculators must not be used in this paper. 1 (a) Write these numbers in order of size, starting with the smallest. 0.506 0.65 0.065 0.6 0.56 … , … , … , … , … [2] smallest (b) Write 0.6 as a percentage. …% [1] (c) Write 0.56 as a fraction in its simplest form. … [2] 2 (a) Write 2780 correct to the nearest 100. … [1] (b) Write 2780 in standard form. … [1] * 0000800000003 * ,










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4 0607/13/M/J/25 © UCLES 2025 3 Sophie records the lowest temperature, in °C, each day during one week. 4 6 6 7 9 11 13 (a) Work out the range. … °C [1] (b) Find the median. … °C [1] (c) Work out the mean. … °C [2] 4 These are the first 5 terms of a sequence. 2 6 10 14 18 (a) Write down the next term in this sequence. … [1] (b) Find an expression for the nth term of this sequence. … [2] * 0000800000004 * ,










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5 0607/13/M/J/25 © UCLES 2025 [Turn over 5 At a cinema the cost of an adult ticket is $8 and the cost of a child ticket is $6.50 . (a) Liu buys 2 adult tickets and 3 child tickets. Find the change from $50. $ … [3] (b) Chris pays $66 for 4 child tickets and some adult tickets. Work out how many adult tickets she buys. … [2] * 0000800000005 * ,










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6 0607/13/M/J/25 © UCLES 2025 6 This shape is made using 3 rectangles. NOT TO SCALE 12 cm 8 cm x cm 2 cm 2 cm 4 cm 4 cm 3 cm (a) Show that x 5 = . [1] (b) Find the perimeter of the shape. … cm [1] (c) Find the total area of the shape. … cm2 [3] * 0000800000006 * ,










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7 0607/13/M/J/25 © UCLES 2025 [Turn over 7 T x y 3 4 = - (a) Find the value of T when x 5 = and y 2 =- . T = … [2] (b) Rearrange the formula to make x the subject. x = … [2] 8 Divide $135 in the ratio 5 : 4. $ … $ … [2] * 0000800000007 * ,










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8 0607/13/M/J/25 © UCLES 2025 9 0 y x – 1 1 2 3 4 5 – 1 – 2 – 2 – 3 – 3 – 4 – 4 – 5 – 5 – 6 5 6 4 3 2 1 A B The line AB is drawn on a square grid. (a) Write down the coordinates of point A and point B. A ( … , … ) B ( … , … ) [2] (b) Find the coordinates of the midpoint of the line AB. ( … , … ) [1] (c) Work out the gradient of the line AB. … [2] (d) Find the equation of the line AB. … [2] * 0000800000008 * ,










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9 0607/13/M/J/25 © UCLES 2025 [Turn over 10 0 y x – 1 1 2 3 4 5 – 1 – 2 – 2 – 3 – 3 – 4 – 4 – 5 – 5 5 4 3 2 1 A B (a) Describe fully the single transformation which maps triangle A onto triangle B. … … [3] (b) Translate triangle A by the vector 3 4 - e o. [2] * 0000800000009 * ,










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10 0607/13/M/J/25 © UCLES 2025 11 Sajid drives 10 km at a speed of 20 km/h. He then drives 200 km at a speed of 80 km/h. (a) Show that Sajid takes 2 1 hour to drive the first 10 km. [1] (b) Work out his average speed for the whole journey. … km/h [4] 12 (a) Simplify. x x x 3 5 7 + - … [1] (b) Expand and simplify. ( ) ( ) x x 2 3 3 1 + + + … [2] (c) Simplify. x x 15 3 6 2 ' … [2] * 0000800000010 * ,










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11 0607/13/M/J/25 © UCLES 2025 [Turn over 13 (a) Write 60 as a product of its prime factors. … [2] (b) Find the lowest common multiple (LCM) of 60 and 24. … [2] Question 14 is printed on the next page. * 0000800000011 * ,









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12 0607/13/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. 14 The probability that a new phone has a fault in the first year of use is 0.2 . Pari and Siya each buy a new phone. (a) Complete this tree diagram. Pari Fault Fault 0.2 … … … No fault No fault Siya Fault … … No fault [2] (b) Find the probability that both Pari and Siya have no fault on their phones in the first year. … [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 0607/13 Paper 1 (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.

0607/13 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.

0607/13 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.

0607/13 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

0607/13 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

0607/13 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

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 7 of 9 Question Answer Marks Partial Marks 1(a) 0.065 0.506 0.56 0.6 0.65 2 B1 for 4 in correct order 1(b) 60 1 1(c) 14 25 cao 2 B1 for 56 100 or 28 50 seen 2(a) 2800 cao 1 2(b) 2.78[0] × 103 1 3(a) 9 1 3(b) 7 1 3(c) 8 2 M1 for 7 x 4(a) 22 1 4(b) 4n ‒ 2 oe final answer 2 B1 for final answer 4n + k or for 4n – 2 oe seen then spoilt. 5(a) 14.5[0] 3 B2 for 35.5[0] or M2 for 50 – (8 + 8 + 6.5 + 6.5 + 6.5) oe or B1 for 16 or 19.5[0] or M1 for 8 + 8 + 6.50 + 6.50 + 6.50 oe 5(b) 5 2 M1 for 66 – 4 × 6.50 oe soi by 40 6(a) 12 – 3 – 4 or x + 3 + 4 = 12 1 6(b) 40 1 6(c) 74 3 M2 for 8 × 5 + 6 × 3 + 4 × 4 oe or 8 × 12 – 2 × 3 – 4 × 4 oe or B1 for one area evaluated correctly e.g. [8 × 5 =] 40, [6 × 3 =] 18, [4 × 4 =] 16, [8 × 12 =] 96, [2 × 3 + 4 × 4 = ] 22 7(a) 23 final answer 2 B1 for 15 or [+]8 or M1 for 3 × 5 ‒ 4 × –2 7(b) 4 3 + T y or 3 T + 4 3 y final answer 2 M1 for T + 4y = 3x or 3 T = x – 4 3 y 8 75 60 2 B1 for each or M1 for 135 5 4 + soi by 15

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 8 of 9 Question Answer Marks Partial Marks 9(a) [A] (–2, –5) [B] (3, 5) 2 B1 for each If 0 scored, SC1 for points reversed i.e. [A] (3, 5) and [B] (–2, –5) 9(b) 1 , 0 2       or (0.5, 0) 1 9(c) 2 2 M1 for 2k k soi or correct gradient calculation e.g. ( ) ( ) 5 5 3 2 −− −− 9(d) y = 2x – 1 final answer 2 FT their positive gradient for 2 marks B1 for 2x – 1 or their 2x – 1, their 2x ≠ 0 or for y = their 2x – 1, their 2 < 0 or for y = their 2x + c, their 2 ≠ 0 or y = kx – 1, k ≠ 0 10(a) Rotation 90 anticlockwise oe origin or (0,0) oe 3 B1 for each 10(b) Correct triangle with vertices at (4, –1) (–1, –1) (–1, –3) 2 M1 for translation by 3    k or 4 k     −   11(a) 10 20 1 2   =     1 11(b) 70 4 B2 for 3[h] or M2 for 200 80 + 0.5 or M1 for 200 80 soi by 1 2 2 [h] AND M1 for 10 200 1 1 2 2 2 their +   +     oe If 0 scored, SC1 for 210 [km] seen 12(a) x final answer 1 12(b) 5x + 9 final answer 2 B1 for 5x + k or kx + 9 final answer or for 2x + 6 or 3x + 3 or for 5x + 9 seen then spoilt 12(c) 5x4 final answer 2 B1 for 5 nx or 4 nx , n ≠ 0

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 9 of 9 Question Answer Marks Partial Marks 13(a) 22 × 3 × 5 or 2 × 2 × 3 × 5 2 B1 for all prime factors i.e. 2, 2, 3, 5 13(b) 120 2 B1 for answer 120k or M1 for 23 × 3 × 5 or 2 × 2 × 2 × 3 × 5 or 2, 2, 2, 3, 5 or [24 =] 23 × 3 or 2 × 2 × 2 × 3 or 2, 2, 2, 3 or for 24, 48, 72, … and 60, 120, … 14(a) 0.8 and 0.2 correctly placed throughout 2 B1 for 0.8 correctly placed once If 0 scored, SC1 for the two probabilities on either pair of Siya’s branches adding to 1 14(b) 0.64 2 FT their probabilities M1 for their 0.8 (Pari) × their 0.8 (Siya) provided 0 < each probability < 1