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

This document has 16 pages. Any blank pages are indicated. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 Non-calculator (Extended) October/November 2025 1 hour 30 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 75. ● The number of marks for each question or part question is shown in brackets [ ]. * 6 8 7 7 5 0 9 8 2 9 * DC (CJ/SW) 347089/3 © UCLES 2025 ,










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2 0607/22/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. 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 = For the equation ax2 + bx + c = 0, where a ≠ 0, x a b b ac 2 4 2 ! = - - For the triangle shown, sin sin sin A a B b C c = = cos a b c bc A 2 2 2 2 = + - sin ab C 2 1 Area = A C B c b a * 0000800000002 * ,










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3 0607/22/O/N/25 © UCLES 2025 [Turn over Calculators must not be used in this paper. 1 Work out. (a) 5 4 3 # - … [1] (b) ( . ) 0 3 4 … [1] (c) 1 9 7 … [2] 2 Factorise. xy x y 9 2 2 3 - … [2] 3 Convert 390 mm into m. … m [1] 4 Write 10.0283 correct to 3 significant figures. … [1] * 0000800000003 * ,










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4 0607/22/O/N/25 © UCLES 2025 5 The table shows the favourite sports of 40 students. Sport Football Netball Running Swimming Tennis Frequency 8 5 11 10 6 (a) Write down the modal sport. … [1] (b) Find the relative frequency of football. … [1] (c) The information in the table is to be shown on a pie chart. Find the sector angle for tennis. … [2] * 0000800000004 * ,










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5 0607/22/O/N/25 © UCLES 2025 [Turn over 6 The cost of 5 burgers and 4 packets of fries is $20.40 . The cost of 1 packet of fries is $1.10 . Find the cost of 1 burger. $ … [3] 7 Find the next term and the nth term in this sequence. 82, 74, 66, 58, 50, … next term = … nth term = … [3] * 0000800000005 * ,










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6 0607/22/O/N/25 © UCLES 2025 8 A right-angled triangle has sides 6 cm, 12 cm and x cm. Find the possible values of x. Give your answers in simplest surd form. … [4] 9 Mia walks 11 km in 1 2 1 hours. She then runs at an average speed of 12 km/h for 15 minutes. Work out Mia’s average speed for the whole journey. Give your answer in km/h. … km/h [3] * 0000800000006 * ,










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7 0607/22/O/N/25 © UCLES 2025 [Turn over 10 x – 1 – 1 0 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9 – 10 y 1 2 3 4 5 6 7 8 9 10 – 2 – 3 – 4 – 5 – 6 – 7 – 8 – 9 – 10 1 2 3 4 5 6 7 8 9 10 A B (a) Reflect triangle A in the line x 1 =- . Label the image C. [2] (b) Translate triangle B by the vector 8 4 - - e o. Label the image D. [2] (c) Describe fully the single transformation that maps triangle A onto triangle B. … … [3] * 0000800000007 * ,










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8 0607/22/O/N/25 © UCLES 2025 11 Write 0.010 02 in standard form. … [1] 12 The cumulative frequency table shows the marks, x, of 200 students in a mathematics exam. Mark (x) Cumulative Frequency x 20 G 22 x 0 3 G 40 x 0 4 G 64 x 0 5 G 110 x 0 6 G 144 x 0 8 G 172 x 0 10 G 200 (a) On the grid, draw a cumulative frequency diagram to represent the data. 0 0 20 40 60 80 100 120 140 160 180 200 10 20 30 40 50 60 70 80 90 100 Cumulative frequency Mark (x) [3] * 0000800000008 * ,










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9 0607/22/O/N/25 © UCLES 2025 [Turn over (b) Use your graph in part (a) to find an estimate for the interquartile range. … [2] (c) 14% of students are graded A. Find the minimum mark for a student to be graded A. … [2] 13 Solve the simultaneous equations. x y x y 2 1 3 27 3 2 2 - = + = x = … y = … [4] * 0000800000009 * ,










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10 0607/22/O/N/25 © UCLES 2025 14 O C D E NOT TO SCALE 132° A B A, B, C, D and E lie on a circle, centre O. AC and BD are diameters of the circle. Angle AED = 132°. (a) Find (i) angle ABD Angle ABD = … [1] (ii) angle AOD Angle AOD = … [1] (iii) angle ADB Angle ADB = … [1] (iv) angle DCA. Angle DCA = … [1] (b) Write down two triangles that are congruent. … [1] * 0000800000010 * ,










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11 0607/22/O/N/25 © UCLES 2025 [Turn over 15 The graph of ( ) y x h k 2 = + + has a vertex at ( , ) 3 2 - - . Find the value of h and the value of k. h = … k = … [2] 16 Rationalise the denominator. Give your answer in its simplest form. 7 12 2 + … [3] 17 Write the list of numbers in order, starting with the smallest. r ° ° . cos tan 60 2 45 0 81 … < … < … < … [2] smallest * 0000800000011 * ,









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12 0607/22/O/N/25 © UCLES 2025 18 The point A has coordinates ( , ) 2 7 - and the point B has coordinates (6, 3). Find the equation of the perpendicular bisector of the line AB. Give your answer in the form y mx c = + . y = … [5] 19 ( ) f x 4 x 2 = Solve the equation ( ) f x 1 = . x = … [1] * 0000800000012 * ,









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13 0607/22/O/N/25 © UCLES 2025 [Turn over 20 (a) Factorise x x 4 4 3 2 - - . … [2] (b) Solve x x 4 4 3 0 2 - - = . x = … or x = … [1] (c) Solve ( ) cos cos x x 4 4 3 0 2 - - = for ° ° x 0 360 1 1 . x = … or x = … [3] * 0000800000013 * ,









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14 0607/22/O/N/25 © UCLES 2025 21 Simplify. x x 9 9 3 2 - - … [3] 22 Make r the subject of A r r 4 4 2 + = + . r = … [4] * 0000800000014 * ,









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15 0607/22/O/N/25 © UCLES 2025 BLANK PAGE * 0000800000015 * ,









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16 0607/22/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 * 0000800000016 * ,









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This document consists of 9 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 (Extended) October/November 2025 MARK SCHEME Maximum Mark: 75 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.

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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.

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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.

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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 Question Answer Marks Partial Marks 1(a) –7 1 1(b) 0.0081 1 1(c) 4 3 oe 2 B1 for 16 9 2 2 (9 2 ) − xy xy final answer 2 M1 for 3 (9 2 ) − x y xy or 2 2 (9 2 ) − y x x y 3 0.39 [0] 1 4 10.0 CAO 1 5(a) Running 1 5(b) 8 40 oe 1

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 7 of 9 Question Answer Marks Partial Marks 5(c) 54° 2 M1 for 6 360 40  6 3.2[0] 3 M2 for 20.4 4 1.1 5 − oe or M1 for 20.4 4 1.1 − oe 7 42 1 90 8 −n oe final answer 2 M1 for 90−kn oe or 8 − k n oe 8 6 5 6 3 4 B3 for 6 5 or 6 3 or 180 and 108 OR M2 for 180 or 108 or M1 for 2 2 2 12 6   = +   x or 2 2 2 12 6   = −   x 9 8 3 M2 for 15 11 12 60 3 1 2 4 +  + oe or M1 for 15 11 12 60 +  oe or 3 1 2 4 + oe If 0 scored SC1 for total dist total time their their 10(a) Correct triangle (–2, 8) (–6, 8) (–6, 6) 2 B1 for triangle reflected in x = k or y = –1 10(b) Correct triangle (–4, 0) (–2, 0) (–4, –4) 2 B1 for triangle translated 8 −       k or 4     −   k 10(c) Rotation 90° [anticlockwise] oe [Centre] (6, 6) 3 B1 for each 11 2 1.002 10−  CAO 1 12(a) Correct diagram (20, 22) (30, 40) (40, 64) (50, 110) (60, 144) (80, 172) (100, 200) 3 B1 for correct horiz plots B1 for 5 correct vert plots 12(b) 30 2 B1FT their LQ or their UQ 12(c) 80 2 B1 for 28 or 172 SOI

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 8 of 9 Question Answer Marks Partial Marks 13 Correctly equating one set of coefficients M1 Correct method to eliminate one variable M1 [ ] 6 = x A1 [ ] 8 = − y A1 If 0 scored, SC1 for answers that satisfy one equation 14(a)(i) 48 1 14(a)(ii) 96 1 FT 2 x their (a)(i) 14(a)(iii) 42 1 FT 90 – their (a)(i) 14(a)(iv) 48 CAO 1 14(b) AOB, COD or ABD, ACD 1 15 [h =] 3 [k =] –2 2 B1 for each 16 4( 7 2) − or 4 7 8 − 3 M2 for ( ) 12 7 2 7 2 7 2 7 4 − − + − oe or M1 for 7 2 7 2 −  − 17 cos60 < 0.81 < tan 45 < π 2 2 B1 for 3 in correct order 18 [ ] 2 1 = + y x 5 M1 for 7 3 grad 2 6 −   =   −−   oe M1 for 7 3 grad 1 2 6 −   = −   −−   perp their B1 for mid point = (2, 5) M1 for subst their (perp grad) and their midpoint into = + y mx c oe 19 0 1 20(a) (2 1)(2 3) + − x x 2 M1 for ( )( ) + + ax b cx d where ac = 4 and bd = –3 or ad + bc = –4 20(b) –0.5 1.5 1 B1FT for both from their ( )( ) + + ax b cx d

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 9 of 9 Question Answer Marks Partial Marks 20(c) 120° and 240° only 3 B2 for either correct or B1 for 60 seen If 0 scored, SC1 for 2 answers that add to 360 21 3 3 − + x final answer 3 M1 for ( 3)( 3) + − x x seen M1 for 3(3 ) −x seen 22 2 =  r A final answer 4 B1 for isolating A M1 for correctly completing the square e.g. 2 ( 2) = − A r A1 for correctly square rooting e.g.  2 − =  r A OR B1 for equating to 0 M1 for correctly using the formula e.g. 2 4 ( 4) 4(4 ) 2  − − − = A r A1 for correctly simplifying square root e.g. 4 4 2  = A r