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

This document has 12 pages. Any blank pages are indicated. [Turn over * 7 1 5 0 9 4 1 7 7 9 * Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/33 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 [ ]. DC (DE/CB) 349969/2 © UCLES 2025 ,










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2 0607/33/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 0607/33/O/N/25 © UCLES 2025 [Turn over 1 Aysha has some hens. The bar chart shows the total number of eggs laid each day in 1 week. 0 Monday Tuesday Wednesday Thursday Friday Saturday Sunday 2 4 6 8 10 number of eggs 12 14 16 18 20 (a) Write down the day on which the most eggs were laid. … [1] (b) Work out how many more eggs were laid on Tuesday than on Friday. … [1] (c) Work out the total number of eggs laid. … [1] (d) Aysha sells the eggs in boxes of 12 eggs. Each box sells for $3.35 . She sells all the eggs. Work out how much she receives. $ … [2] * 0000800000003 * ,










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4 0607/33/O/N/25 © UCLES 2025 2 Work out the value of . . . . 2 93 1 54 6 23 4 16 - + . Give your answer correct to 3 decimal places. … [2] 3 (a) Write down the mathematical name for each of these shapes. … … … [3] (b) For each shape, draw any lines of symmetry. [2] 4 Sejal has a 4-digit door code. The first digit is an even prime number. The second digit is a cube number greater than 1. The third digit is the highest common factor (HCF) of 12 and 8. The fourth digit is a triangle number between 2 and 5. Work out the 4-digit code. first second third fourth [4] * 0000800000004 * ,










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5 0607/33/O/N/25 © UCLES 2025 [Turn over 5 6 boys and 6 girls each take an online reaction test. The table shows the reaction time for each person. boys’ times (seconds) 12 36 58 10 40 24 girls’ times (seconds) 32 26 31 40 22 29 (a) Compare the mean time for the boys with the mean time for the girls. Show the values you use. … [3] (b) Compare the range of the times for the boys with the range of the times for the girls. Show the values you use. … [2] 6 Solve. (a) x 9 54 = x = … [1] (b) x 3 5 10 - = x = … [2] * 0000800000005 * ,










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6 0607/33/O/N/25 © UCLES 2025 7 (a) Write 3 5 4 as a decimal. … [1] (b) Write 6 as a fraction of 78. Give your answer in its simplest form. … [1] (c) Write 8 3 as a percentage. …% [1] 8 Zac invests $3500 at a rate of 2.15% per year simple interest. Work out the value of this investment at the end of 8 years. $ … [3] 9 A pyramid has a square base of side 23 cm. The volume of the pyramid is 3174 . cm3 Work out the height of the pyramid. … cm [2] * 0000800000006 * ,










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7 0607/33/O/N/25 © UCLES 2025 [Turn over 10 A line has equation y x 3 6 9 + = . (a) Find the gradient of the line. … [2] (b) Find the x-coordinate of the point where the line crosses the x-axis. x = … [1] 11 Work out . . 2 3815 10 1 15 10 4 2 # # - . Give your answer in standard form. … [2] * 0000800000007 * ,










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8 0607/33/O/N/25 © UCLES 2025 12 The diagram shows a large container in the shape of a cylinder. 160 cm 9 cm NOT TO SCALE The container has a circular base with an internal diameter of 160 cm. The container has height 9 cm. The container completely fills up with water. Work out the volume of water. Give your answer in litres. … litres [4] 13 ( )( ) x c x ax bx 2 16 2 + - = + - Work out the values of a, b and c. a = … b = … c = … [3] * 0000800000008 * ,










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9 0607/33/O/N/25 © UCLES 2025 [Turn over 14 8 cm 40° NOT TO SCALE B O C A The diagram shows a circle with centre O and radius 8 cm. The line AB touches the circle at C. (a) Write down the mathematical name for the line AB. … [1] (b) Write down the size of angle OCB. angle OCB = … [1] (c) Use trigonometry to find the length of CB. CB = … cm [2] * 0000800000009 * ,










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10 0607/33/O/N/25 © UCLES 2025 15 A cheetah runs at an average speed of 63 km/h. Work out how far the cheetah runs in 8 seconds. Give your answer in metres. … m [3] 16 Use set notation to describe the shaded region. A B U … [1] 17 x 64 3 = Find the value of x. x = … [2] * 0000800000010 * ,










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11 0607/33/O/N/25 © UCLES 2025 18 – 1 5 – 10 15 y 0 x (a) On the diagram, sketch the graph of y x x 2 8 3 2 = - + for values of x from -1 to 5. [2] (b) Write down the coordinates of the point where the graph crosses the y-axis. ( … , … ) [1] (c) Find the x-coordinate of each point where the graph crosses the x-axis. x = … and x = … [2] (d) Find the coordinates of the local minimum. ( … , … ) [1] * 0000800000011 * ,









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12 0607/33/O/N/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 0607/33 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.

0607/33 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.

0607/33 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.

0607/33 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

0607/33 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

0607/33 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) Thursday 1 1(b) 6 1 1(c) 96 1 1(d) 26.80 2 M1 for part 12 their (c) oe soi by 8 2 7.475 2 M1 for 7.4748 … seen or their answer to more than 3 decimal places correctly rounded to 3 decimal places 3(a) triangle, kite, pentagon 3 B1 for each 3(b) No lines on triangle One correct line on kite 5 correct lines on pentagon 2 B1 for 2 correct

0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 7 of 8 Question Answer Marks Partial Marks 4 2 8 4 3 4 B1 for each correct number in the correct place 5(a) [boys’ mean =] 30 [girls’ mean =] 30 [So, both means are the] same oe 3 B1 for boys’ mean correct B1 for girls’ mean correct B1 FT for correct comparison from their means 5(b) [boys’ range =] 48 [girls’ range =] 18 [So,] boys’ [range] is larger [than girls’ range] oe 2 B1 for one range correct 6(a) 6 1 6(b) 5 2 M1 for 3x = 10 + 5 or better 7(a) 3.8 1 7(b) 1 13 1 7(c) 37.5 1 8 4102 3 B2 for 602 or M2 for  3500 8 2.15 3500 oe 100  + or M1 for 3500 2.15 oe soi by 75.25 100  9 18 2 M1 for 1 23 23 height 3174 or better 3   = 10(a) –2 2 M1 for 3 6 9 oe y x = − + 10(b) 1.5 oe 1 11  4 2.37 00 10  2 M1 for 23700 12 181 or 180.95 to 180.98 4 B3 for 181000 or 180950 to 180980 OR M2 for π×802×9 or M1 for π×802 AND M1 for dividing their answer by 1000

0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 8 of 8 Question Answer Marks Partial Marks 13 [a =] 1 [b =] 6 [c =] 8 3 B1 for each 14(a) tangent 1 14(b) 90 1 14(c) 6.71 or 6.712 to 6,713 2 M1 for tan40 oe 8 = CB 15 140 3 B2 for answer figs 14 or M2 for   63 8 1000 60 60   or M1 for   63 8 1000 or oe soi by figs 1 75 60 60 or   or figs 222… 16 (A  B) or A  B 1 17 2 2 M1 for 8 seen 18(a) Correct sketch drawn 2 B1 for correct shape but in wrong position 18(b) (0, 3) 1 18(c) 0.419 or 0.4188… 3.58 or 3.581… 2 B1 for each If 0 scored, SC1 for 0.42 and 3.6 18(d) (2, –5) 1