Cambridge IGCSE Mathematics - International 0607 — 2025 May/June Paper 2 · Variant 2

This document has 12 pages. [Turn over * 2 1 1 7 6 8 1 9 8 0 * Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 Non-calculator (Extended) May/June 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 [ ]. DC (DE/CGW) 342615/3 © UCLES 2025 ,










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2 0607/22/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. 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 a C B * 0000800000002 * ,










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3 0607/22/M/J/25 © UCLES 2025 [Turn over Calculators must not be used in this paper. 1 (a) Work out ( . ) 0 02 3. … [1] (b) Write your answer to part (a) in standard form. … [1] 2 This is a list of numbers. 31 33 35 37 39 41 From this list, write down all the prime numbers. … [2] 3 Write the fraction 64 24 in its lowest terms. … [1] 4 Convert 250 cm3 into m3. … m3 [1] 5 A quadrilateral has exactly one pair of parallel sides. Write down the mathematical name of this quadrilateral. … [1] * 0000800000003 * ,










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4 0607/22/M/J/25 © UCLES 2025 6 (a) Share 120 in the ratio 2 : 3. … , … [2] (b) Share Z in the ratio x : y. … , … [2] 7 At a school, 50 students are asked their favourite car colour. The table shows the results. Colour Red Blue White Silver Black Frequency 7 x 15 16 x (a) Find the value of x. x = … [2] (b) Find the relative frequency of red. … [1] * 0000800000004 * ,










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5 0607/22/M/J/25 © UCLES 2025 [Turn over 8 (a) Expand and simplify. ( ) ( ) x x 5 2 1 3 3 4 - - + … [2] (b) Factorise. (i) y y 3 2 - … [1] (ii) ax by ay bx 8 3 2 12 - + - … [2] (iii) x x 12 3 5 2 + - … [2] * 0000800000005 * ,










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6 0607/22/M/J/25 © UCLES 2025 9 The table shows the marks scored by each of 60 students in a science test. Mark 0 1 2 3 4 5 6 7 8 9 10 Frequency 2 14 5 3 7 6 5 1 7 2 8 (a) Write down the mode. … [1] (b) Find the interquartile range. … [2] 10 Use set notation to describe each of the shaded regions. A B U P Q U … … [2] 11 Simplify. ( )x x 5 1 3 4 'b l … [2] * 0000800000006 * ,










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7 0607/22/M/J/25 © UCLES 2025 [Turn over 12 In this question all lengths are in centimetres. NOT TO SCALE 3x 3x x x A solid is made by joining a cuboid to a pyramid. The base of the cuboid is a square of side x. The height of the cuboid is 3x. The base of the pyramid is a square of side x. The height of the pyramid is 3x. The total volume of the solid is 32 000 cm3. Show that x = 20. [3] * 0000800000007 * ,










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8 0607/22/M/J/25 © UCLES 2025 13 30° 10 cm x cm y cm 13 cm NOT TO SCALE (a) Show that x = 5. [2] (b) Find the value of y. y = … [3] 14 Find the lowest common multiple (LCM) of these expressions. x y 2 3 4 x z 3 2 3 y z 4 2 … [2] * 0000800000008 * ,










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9 0607/22/M/J/25 © UCLES 2025 [Turn over 15 An unbiased die is numbered 2, 3, 4, 4, 5, 6. Zaira rolls the die three times. Find the probability that Zaira rolls an odd number two or more times. … [4] 16 Find the next term and the nth term in each sequence. (a) 12, 14, 16, 18, 20, … next term = … nth term = … [3] (b) 81, 27, 9, 3, 1, … next term = … nth term = … [3] * 0000800000009 * ,










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10 0607/22/M/J/25 © UCLES 2025 17 NOT TO SCALE 116° O A D C B P The diagram shows a circle, centre O. AOBP is a straight line. PC is a tangent to the circle. Angle AOC = 116°. Find (a) angle OAC Angle OAC = … [1] (b) angle ABC Angle ABC = … [1] (c) angle ADC Angle ADC = … [1] (d) angle APC. Angle APC = … [2] 18 Apples cost $2.50 per kilogram. The total cost of x kg of apples and y kg of pears is $10 . Find the cost of 1 kg of pears. Give your answer in terms of x and y. $ … [3] * 0000800000010 * ,










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11 0607/22/M/J/25 © UCLES 2025 [Turn over 19 ( )x x 5 4 1 f = - , . x 0 8 ! (a) Find ( ) 2 f . … [1] (b) Solve ( )x 1 11 f = . … [2] (c) Find ( )x f 1 - . ( )x f 1 = - … [3] 20 (a) Rationalise the denominator. 3 2 3 2 + - … [3] (b) Expand and simplify. x x x x 1 1 + - + + ` `j j … [2] Question 21 is printed on the next page. * 0000800000011 * ,









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12 0607/22/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. 21 Line L is perpendicular to the line with equation y x 2 1 = + . Line L passes through the point (3, 12). (a) Find the equation of the line L. [3] (b) The shortest distance from the point (3, 12) to the line y x 2 1 = + is k. Find the value of k. k = … [5] * 0000800000012 * ,









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This document consists of 10 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 (Extended) May/June 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 May/June 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 May/June 2025 © Cambridge University Press & Assessment 2025 Page 2 of 10 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 May/June 2025 © Cambridge University Press & Assessment 2025 Page 3 of 10 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 May/June 2025 © Cambridge University Press & Assessment 2025 Page 4 of 10 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 May/June 2025 © Cambridge University Press & Assessment 2025 Page 5 of 10 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 May/June 2025 © Cambridge University Press & Assessment 2025 Page 6 of 10 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

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 7 of 10 Question Answer Marks Partial Marks 1(a) 0.000 008 oe 1 1(b) 6 8 10−  1 FT their (a) 2 31, 37, 41 2 B1 for 1 correct and no incorrect, or 2 correct and no more than 1 incorrect 3 3 8 final answer 1 4 0.000 25 oe 1 5 trapezium 1 6(a) 48, 72 cao 2 M1 for 1 120 (2 3)  + soi 6(b) , + + xZ y Z x y x y oe final answer 2 M1 for + Z x y 7(a) 6 2 M1 for 7 15 16 50 + + + + = x x or 50 7 15 16 −− − 7(b) 7 50 oe 1 8(a) 2 14 − − x final answer 2 M1 for 10 5 9 12 −−− x x or B1 for final answer of 2 − + x k or 14 − kx 0  k 8(b)(i) (3 ) − y y final answer 1 8(b)(ii) (2 3 )(4 ) − + a b x y final answer 2 M1 for 2 (4 ) 3 ( 4 ) + − + a x y b y x or 4 (2 3 ) (2 3 ) − + − x a b y a b 8(b)(iii) (3 4)( 3) − + x x final answer 2 M1 for (3 )( ) + + x a x b where a + 3b = 5 or ab = –12 9(a) 1 1 9(b) 7 2 M1 for [LQ =] 1 or [UQ =] 8 10 /  A B oe /  P Q oe 2 B1 for each 11 7 125x cao 2 B1 for 125 kx or 7 kx

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 8 of 10 Question Answer Marks Partial Marks 12 3 3 1 3 3 3 +  x x oe M1 e.g. 3 3 3 [ ] + x x 3 4 32000 = x M1 3 8000 leadingto 20 = = x x A1 or 3 8000 = x leading to x = 20 13(a) sin30 10 = x oe M1 10 0.5 =  x oe leading to x = 5 A1 Must see sin30 replaced by 0.5 If 0 scored B1 for sin30 0.5 = soi 13(b) 12 nfww 3 M2 for   2 2 13 5 = − y or M1 for 2 2 2 13 5 = + y oe 14 3 4 3 12x y z 2 M1 for any two correct from 3 4 3 12, , , x y z in a product but must have terms in x, y and z 15 56 216 or 7 27 oe 4 M3 for 2 2 4 2 2 2 3 6 6 6 6 6 6       +           oe or M2 for 2 2 4 6 6 6   seen and 2 2 2 6 6 6   seen oe or M1 for 2 2 4 6 6 6   seen or 2 2 2 6 6 6   seen oe OR M3 for 2 4 4 4 4 4 1 3 6 6 6 6 6 6       −   +               oe or M2 for 2 4 4 6 6 6   seen and 4 4 4 6 6 6   seen oe or M1 for 2 4 4 6 6 6   seen or 4 4 4 6 6 6   seen oe 16(a) 22 1 2 10 + n oe final answer 2 M1 for 2 + n k or 10 + kn 0  k oe 16(b) 1 3 oe 1 1 1 81 3 −       n oe final answer 2 M1 for 1 or 3 3 −       k k where k is a function of n 17(a) 32 1

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 9 of 10 Question Answer Marks Partial Marks 17(b) 58 1 17(c) 122 1 FT 180 their − (b) 17(d) 26 2 M1 for angle 90 (180 116) = − − APC or B1 for angle 64 = COB or angle 90 = OCP 18 10 2.5 − x y oe 3 B1 for 2.5 10 + = x Py oe M1 for correctly isolating their ‘P’ term from a 3- term equation 19(a) 1 6 1 19(b) 3 2 M1 for 5 4 11 − = x 19(c) 1 1 1 1 4 f ( ) 4 or 5 5 x x x x − +     = +       oe 3 M1 for correctly isolating ‘x’ term (5 4) 1 5 4 1 1 4 5 − = − = + = y x yx y y x y then M1 for correctly interchanging their x and y 1 4 5 + = x y x OR M1 for correctly interchanging x and y 1 5 4 = − x y then M1 for correctly isolating their y (5 4) 1 5 4 1 1 4 5 − = − = + = x y xy x x y x 20(a) 5 2 6 − or ( ) 2 3 2 − 3 M2 for ( ) ( ) ( ) ( ) 2 2 2 2 3 2 2 3 2 3 2 + −  − or ( ) ( ) ( ) 2 2 2 3 2 3 2 − − or M1 for 3 2 3 2 −  − 20(b) 1 2 M1 for ( 1) ( 1) ( 1) + + + − + − x x x x x x

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2025 © Cambridge University Press & Assessment 2025 Page 10 of 10 Question Answer Marks Partial Marks 21(a) 1 27 2 2 = − + y x oe 3 B1 for gradient of perpendicular = –0.5 M1 for correct substitution of their –0.5 and (3, 12) into = + y mx c oe (but grad 2  ) 21(b) 5 = k nfww 5 B2 for coordinates of intersection (5, 11) or M1 for 1 27 2 1 2 2   + = − +     p their p M2 for 2 2 ( 5 3) ( 11 12) 5     = − + − =     k their their or M1 for 2 2 2 ( 5 3) ( 11 12) = − + − k their their