Cambridge IGCSE Mathematics - International 0607 — 2025 Oct/Nov Paper 3 · Variant 2

This document has 12 pages. [Turn over Cambridge IGCSE™ * 7 0 5 6 9 3 4 4 1 7 * DC (CE/FC) 342430/3 © UCLES 2025 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/32 Paper 3 Calculator (Core) October/November 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 [ ]. ,










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2 0607/32/O/N/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/O/N/25 © UCLES 2025 [Turn over 1 (a) Work out how many days there are in 6 weeks. … days [1] (b) Write 14 25 as a 12-hour clock time. … [1] (c) A TV programme starts at 15 25 and finishes at 16 09. Work out how many minutes the programme lasts. … minutes [1] 2 9 cm 7 cm 21 cm NOT TO SCALE This solid cuboid has dimensions 21 cm, 7 cm and 9 cm. (a) Write down the number of faces, edges and vertices of the cuboid. Faces … Edges … Vertices … [2] (b) Work out the volume of the cuboid. Give the units of your answer. … … [2] * 0000800000003 * ,










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4 0607/32/O/N/25 © UCLES 2025 3 (a) Write down an even number between 1 and 10. … [1] (b) Write down a square number between 1 and 10. … [1] (c) Write down all the factors of 20. … [2] 4 Find the value of . . 8 2 7 6 # . Give your answer correct to 3 decimal places. … [2] 5 The exchange rate between dollars ($) and pounds (£) is $1 = £0.82 . (a) Divya changes $140 into pounds. Work out how much money, in pounds, she receives. £ … [1] (b) The price of a watch is £120. Work out the price of the watch in dollars. $ … [1] * 0000800000004 * ,










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5 0607/32/O/N/25 © UCLES 2025 [Turn over 6 B y° x° z° 55° Q P R A C S NOT TO SCALE ABC is an isosceles triangle. PBQ and RACS are parallel lines. (a) Find the value of x. x = … [1] (b) Find the value of y. y = … [1] (c) Find the value of z. z = … [2] 7 A circle has circumference 15 cm. Find the radius of the circle. … cm [2] * 0000800000005 * ,










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6 0607/32/O/N/25 © UCLES 2025 8 Toby makes food for parties. (a) Toby uses this formula to work out how many sandwiches to make for a party. N = 3P + 18 N is the number of sandwiches he makes. P is the number of people at the party. (i) 25 people are at a party. Work out the number of sandwiches Toby makes. … [2] (ii) Toby makes 177 sandwiches for another party. Work out the number of people at this party. … [2] (b) Toby makes 4 cakes for each person at a party, plus 12 extra cakes. Find a formula for the number of cakes, C, Toby makes for a party of P people. … [2] * 0000800000006 * ,










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7 0607/32/O/N/25 © UCLES 2025 [Turn over 9 A breakfast cereal is made using only oats and raisins. The mass of oats and the mass of raisins in the cereal are in this ratio. oats : raisins = 30 : 12 (a) Write the ratio 30 : 12 in its simplest form. … : … [1] (b) A box contains 560 g of this breakfast cereal. Work out the mass of oats and the mass of raisins in the box. Oats … g Raisins … g [2] 10 Simplify. x y x y 5 3 4 3 # … [2] * 0000800000007 * ,










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8 0607/32/O/N/25 © UCLES 2025 11 The table shows the Inflation Rate and the Unemployment Rate for 6 countries. Inflation Rate (%) 1.4 2.2 2.4 4.6 5.0 6.0 Unemployment Rate (%) 10.0 8.8 8.4 6.2 5.0 3.6 (a) Complete the scatter diagram. The first 2 points have been plotted for you. 6 8 10 11 4 2 5 Unemployment Rate (%) Inflation Rate (%) 7 9 3 1 0 2 4 6 8 10 11 1 0 3 5 7 9 [2] (b) Write down the type of correlation shown in the scatter diagram. … [1] * 0000800000008 * ,










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9 0607/32/O/N/25 © UCLES 2025 [Turn over (c) The mean Inflation Rate is 3.6%. The mean Unemployment Rate is 7.0%. On the scatter diagram, draw a line of best fit. [2] (d) Another country has an Inflation Rate of 3.0% . Use your line of best fit to find an estimate of the Unemployment Rate of this country. … % [1] 12 (a) U R T 8 1 4 6 9 7 2 3 5 U = {1, 2, 3, 4, 5, 6, 7, 8, 9} Write down the elements of set R. … [1] (b) Use set notation to describe each shaded region. U P Q A B U … … [2] * 0000800000009 * ,










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10 0607/32/O/N/25 © UCLES 2025 13 – 1 – 1 12 y x 0 3 (a) (i) On the diagram, sketch the graph of y x x 2 3 1 2 = - + for values of x between -1 and 3. [2] (ii) Find the x-coordinate of the local minimum. x = … [1] (b) On the diagram, sketch the graph of y x 1 = + for values of x between -1 and 3. [2] (c) Find the coordinates of each point of intersection of y x x 2 3 1 2 = - + and y x 1 = + . ( … , … ) and ( … , … ) [2] * 0000800000010 * ,










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11 0607/32/O/N/25 © UCLES 2025 [Turn over 14 5 cm 5 cm 9 cm A B O NOT TO SCALE The diagram shows an isosceles triangle. Use trigonometry to calculate the size of angle AOB. … [4] 15 Lara invests some money in an account that pays compound interest at a rate of R % per year. The bank uses this formula to work out the value of her investment. A 5000 1 T 100 8 # = + : D A is the value of the investment at the end of T years. (a) Write down the amount of money Lara invests. $ … [1] (b) Write down the value of R. R = … [1] (c) Calculate the amount of interest Lara receives at the end of 10 years. $ … [2] Question 16 is printed on the next page. * 0000800000011 * ,









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12 0607/32/O/N/25 © UCLES 2025 16 1.5 cm 18 cm 4 cm NOT TO SCALE A firework is made from a cylinder and a cone. The cylinder has height 18 cm and radius 1.5 cm. The cone has height 4 cm and radius 1.5 cm. Show that the total volume of the firework is cm 137 3, correct to 3 significant figures. [4] 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. * 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) October/November 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 October/November 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 October/November 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 October/November 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 October/November 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 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 Method mark awarded two

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 5 of 8 Annotation Meaning 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 October/November 2025 © Cambridge University Press & Assessment 2025 Page 6 of 8 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) 42 1 1(b) 2 25 pm cao 1 1(c) 44 1 2(a) [Faces =] 6 [Edges = ] 12 [Vertices =] 8 2 B1 for 2 correct 2(b) 1323 1 cm3 1 3(a) One of 2, 4, 6, 8 1 3(b) One of 4 , 9 1 3(c) 1, 2, 4, 5, 10, 20 2 B1 for 4 correct and none incorrect

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 7 of 8 Question Answer Marks Partial Marks 4 7.894 2 B1 for 7.894… If 0 scored, SC1 for their value to more than 3 dp correctly rounded to 3 dp. 5(a) 114.80 1 5(b) 146.34 1 6(a) 125 1 6(b) 55 1 6(c) 70 2 B1 for ACB or CBQ = 55 soi 7 2.39 or 2.387… 2 M1 for 15 2 or B1 for 4.78 or 4.77… 8(a)(i) 93 2 M1 for 3×25 + 18 8(a)(ii) 53 2 M1 for 177 – 18 soi by 159 8(b) C = 4P +12 final answer 2 B1 for 4P +12 or C = 4P + k or C = mP +12 m≠0 or C = 4P +12 seen and spoilt 9(a) 5 : 2 1 9(b) [Bran =] 400 [Raisins =] 160 2 B1 for each or M1 for 560 30 12 + or 560 5 2 + or 30 30 12 + or 12 30 12 + oe soi FT their (a) for M1 10 15x7y2 final answer 2 B1 for two of 15, x7 and y2 11(a) 4 points correctly plotted 2 M1 for 2 points correctly plotted 11(b) Negative 1 11(c) Correct ruled line of best fit. 2 B1 for ruled line through mean but not in tolerance or for ruled line not through mean but in tolerance 11(d) their Unemployment Rate using Inflation Rate 3.0 and their ruled line with negative gradient 1 12(a) 2,3,5,7 1 12(b) , ' P Q A  2 B1 for each

0607/32 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 8 of 8 Question Answer Marks Partial Marks 13(a)(i) Correct quadratic sketch 2 B1 for correct shape but in wrong position 13(a)(ii) 0.75 or 3 4 1 13(b) Correct ruled line 2 B1 for ruled line with positive gradient 13(c) (0, 1) (2,3) 2 B1 for each point 14 128 to 128.4 4 M3 for [2×]sin-1 4.5 5       soi by [2×] 64.1… or for [2×] 1 4.5 90 cos 5 −     −         soi by [2×] (90 – 25.8…) or M2 for sin = 4.5 5       or cos = 4.5 5       or M1 for identifying a right angled triangle for example AOX 15(a) 5000 1 15(b) 8 1 15(d) 5794.62 2 B1 for 10 790 to 10 800 or M1 for 5000 × 10 8 1 100   +     16 π×1.52×18 + 1 3 ×π×1.52×4 M3 M1 for π×1.52×18 soi by127 or 127.2… M1 for 1 3 ×π×1.52×4 soi by 9.42… 136.6… A1