Cambridge IGCSE Mathematics - International 0607 — 2025 Feb/March Paper 3 · Variant 2

This document has 12 pages. Any blank pages are indicated. [Turn over * 8 6 1 9 6 0 6 1 1 2 * Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 Calculator (Core) February/March 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/CB) 341822/3 © UCLES 2025 ,










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2 0607/32/F/M/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. rr A 2 = Circumference, C, of circle of radius r. r C r 2 = Curved surface area, A, of cylinder of radius r, height h. rrh A 2 = Curved surface area, A, of cone of radius r, sloping edge l. r A rl = Surface area, A, of sphere of radius r. r A r 4 2 = 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. 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 = * 0000800000002 * ,










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3 0607/32/F/M/25 © UCLES 2025 [Turn over 1 One can of lemonade costs 65 cents. Larkin buys 7 cans of lemonade. Work out how much change Larkin gets from $5. $ … [2] 2 Work out . . . . 3 61 1 87 6 23 5 84 - + . … [1] 3 . x y z 2 4 1 - + = Work out the value of x when . y 2 5 = and . z 1 6 = . x = … [2] 4 Convert 5000 centimetres to metres. … m [1] * 0000800000003 * ,










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4 0607/32/F/M/25 © UCLES 2025 5 These are the masses, in kg, of each of 11 kangaroos. 66, 72, 90, 85, 91, 78, 86, 67, 72, 82, 80 (a) Find the mean mass. … kg [1] (b) Complete the ordered stem-and-leaf diagram and the key. 6 7 8 9 Key … | … represents … kg [3] (c) Find. (i) the mode … kg [1] (ii) the median … kg [1] (iii) the interquartile range. … kg [2] * 0000800000004 * ,










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5 0607/32/F/M/25 © UCLES 2025 [Turn over 6 (a) Write down the fraction of the shape that is shaded. … [1] (b) Write the numbers 0.4 5 1 25% in order of size, starting with the smallest. … , … , … [1] smallest 7 Suki changes $500 to Yen. The exchange rate is $1 = 128.42 Yen. (a) Suki spends 55 000 Yen. Work out how many Yen she has left. … Yen [2] (b) Suki changes the Yen she has left back to dollars. The exchange rate is $1 = 124.12 Yen. Work out how many dollars she receives. $ … [1] * 0000800000005 * ,










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6 0607/32/F/M/25 © UCLES 2025 8 (a) Simplify x x x 3 4 5 + - . … [1] (b) Expand and simplify ( )( ) x x 3 2 7 - + . … [2] 9 Samira buys these items. 1.5 kg of apples at $2.40 per kg. Some packets of rice at $4.35 per packet. Samira pays a total of $16.65 . Work out how many packets of rice she buys. … [3] 10 Divide 336 in the ratio 6 : 1. … , … [2] * 0000800000006 * ,










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7 0607/32/F/M/25 © UCLES 2025 [Turn over 11 Ricardo invests $600 at a rate of 1.2% per year compound interest. Find the value of Ricardo’s investment at the end of 4 years. $ … [2] 12 A phone costs $538. The cost of the phone is increased to $570.28 . Work out the percentage increase. …% [2] 13 Write 2560 in standard form. … [1] * 0000800000007 * ,










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8 0607/32/F/M/25 © UCLES 2025 14 These are 3 shapes, A, B and C. O is the centre of shape A. A B C O 3.75 cm NOT TO SCALE 6.3 cm 10 cm 10 cm 10 cm 7.2 cm (a) Write down the mathematical name for each shape. A … B … C … [2] (b) Use Pythagoras’ theorem to show that the perpendicular height of shape C is 8.66 cm correct to 2 decimal places. [3] (c) Work out the area of each shape. A … cm2 B … cm2 C … cm2 [4] * 0000800000008 * ,










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9 0607/32/F/M/25 © UCLES 2025 [Turn over 15 The diagram shows a solid trophy. NOT TO SCALE 7.4 cm 5.3 cm 6.2 cm The trophy is made by joining a pyramid to a cuboid. The cuboid has dimensions 6.2 cm by 5.3 cm by 7.4 cm. The height of the pyramid is H cm. The total height of the trophy is 10.2 cm. (a) Show that H = 2.8 . [1] (b) Work out the total volume of the trophy. … cm3 [4] * 0000800000009 * ,










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10 0607/32/F/M/25 © UCLES 2025 16 y x 30 0 – 12 – 3 4 (a) On the diagram, sketch the graph of y x x 2 6 2 = + - for values of x between -3 and 4. [2] (b) (i) On the diagram, sketch the graph of y x x 3 2 2 = + - for values of x between -3 and 4. [2] (ii) Find the coordinates of the maximum of y x x 3 2 2 = + - . ( … , … ) [1] (c) Find the x-coordinate of each point of intersection of y x x 2 6 2 = + - and y x x 3 2 2 = + - . x = … and x = … [2] * 0000800000010 * ,










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11 0607/32/F/M/25 © UCLES 2025 17 NOT TO SCALE A O C B 60° 5.8 cm The diagram shows a circle with centre O and radius 5.8 cm. BA and BC are tangents to the circle. Angle ABC = 60°. (a) Show that angle AOC = 120°. [2] (b) Find the length of the arc AC. …cm [2] (c) Find the length of AB. …cm [3] * 0000800000011 * ,









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12 0607/32/F/M/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. BLANK PAGE * 0000800000012 * ,









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This document consists of 8 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 (Core) February/March 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 February/March 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 February/March 2025 © Cambridge University Press & Assessment 2025 Page 2 of 8 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 February/March 2025 © Cambridge University Press & Assessment 2025 Page 3 of 8 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 February/March 2025 © Cambridge University Press & Assessment 2025 Page 4 of 8 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 Benefit of the doubt Communication mark Incorrect point Follow through Highlighter Highlight a key point in the working Ignore subsequent work Method mark awarded zero Method mark awarded one Method mark awarded two Misread Omission

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2025 © Cambridge University Press & Assessment 2025 Page 5 of 8 Annotation Meaning 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 point Not from wrong working 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 February/March 2025 © Cambridge University Press & Assessment 2025 Page 6 of 8 Question Answer Marks Partial Marks 1 0.45 2 1 for 7 65 soi by 455  M 2 6.94 or 6.936 to 6.937 1 3 3.4 2 M1 for x – 2.5 +2(1.6) = 4.1 or better 4 50 1 5(a) 79 1 5(b) 6 6 7 7 2 2 8 8 0 2 5 6 9 0 1 2 B1 for unordered stem-and-leaf diagram or ordered with one missing or misplaced E.g. Key 6  7 = 67 oe 1 5(c)(i) 72 1 5(c)(ii) 80 1 5(c)(iii) 14 2 B1 for 86 or 72 seen 6(a) 5 12 1 6(b) 1 5 , 25%, 0.4 1 7(a) 9210 2 M1 for 500 128.42  soi by 64 210 7(b) 74.2[0] or 74.202… 1 FT their (a) 8(a) 2x final answer 1 8(b)  2 2 1 21 x x + − final answer 2 2 1 for 3 of 2 , 7 , 6 or 21 seen x x x − − M 9 3 3 B2 for 13.05 OR M2 for 16.65 1.5 2.4 4.35 −  or M1 for 1.5 2.4 soi by 3.6  10 288 48 2 B1 for each or M1 for 336 6 1 +

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2025 © Cambridge University Press & Assessment 2025 Page 7 of 8 Question Answer Marks Partial Marks 11 629.32 2 M1 for 4 1.2 600 1 oe 100   +     12 6 2 M1 for   570.28 538 100 oe 538 −  or   570.28 100 100 538  − 13  3 2.56 0 10  1 14(a) [A =] circle [B =] rectangle [C =] [equilateral] triangle 2 B1 for two correct 14(b) 2 2 2 H 10 5   = −   M2 M1 for 2 2 2 1 0 H 5 = + or triangle with 10 and 5 shown correctly 8.660… A1 Dependent on M2 14(c) [A] 44.2 or 44.17 to 4.19 2 M1 for 2 π 3.75  [B] 45.36 1 [C] 43.3 1 15(a) 10.2 – 7.4 = 2.8 1 15(b) 274 or 273.8… 4 M3 for 1 6.2 5.3 7.4 6.2 5.3 2.8 3   +    OR B2 for 243 or 243.1 to 243.2 or 30.7 or 30.55 to 30.67 or M1 for 6.2 5.3 7.4   and M1 for 1 6.2 5.3 2.8 3   16(a) Correct sketch 2 B1 for correct shape B1 for minimum in approximately correct place

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2025 © Cambridge University Press & Assessment 2025 Page 8 of 8 Question Answer Marks Partial Marks 16(b)(i) Correct sketch 2 B1 for correct shape B1 for maximum in approximately correct place 16(b)(ii) (1, 4) 1 16(c) 1.91 or 1.906 to 1.907 – 1.57 or – 1.573… 2 B1 for each If 0 scored, SC1 for 1.9 and –1.6 17(a) OAB or OCB = 90 soi 1 360 – 90 – 90 – 60 = 120 or 2(180 – 90 – 30 = 60) 1 17(b) 12.1 or 12.14 to 12.15 2 M2 for 120 2 π 5.8 360  or better 17(c) 10.0 or 10.04 to 10.05 3 M2 for 5.8 tan30 AB = or 5.8 tan60  or M1 for 5.8 tan30 = AB or tan60 5.8 = AB