Cambridge IGCSE Mathematics - International 0607 — 2025 Oct/Nov Paper 1 · Variant 1
0607/11/O/N/25 · 60 marks · 75 min
The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.
Question paper12 pages












Mark scheme9 pages
Answers below. Sit the paper first if you are practising.









Paper as text
Question paper, page 1
This document has 12 pages. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 Non-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. ● 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 60. ● The number of marks for each question or part question is shown in brackets [ ]. * 6 3 0 5 1 7 1 9 4 8 * DC (SL/JG) 342414/4 © UCLES 2025 , , * 0000800000001 * ¬Wz> 4mHuOªE^{5W ¬HtzQ¦R{«[6 ¥uEuU¥5Ee5EEue5uU DFD
Question paper, page 2
0607/11/O/N/25 © UCLES 2025 2 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 * , , ĬÕú¾Ġ´íÈõÏĪÅĊßù·þ× ĬÈòùÔĢĆĪéñýĈģÀà»ĦĂ ĥåÕĕµµåÕõĥĥąÅµÅõÕÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 3
0607/11/O/N/25 © UCLES 2025 3 [Turn over Calculators must not be used in this paper. 1 (a) Work out. 10 2 3 # - … [1] (b) Write the missing number in each box. 7 3 . 5 8 + 2 0 . 3 3 0 . 2 [2] (c) Work out ( . ) 0 1 2. … [1] 2 Write 87.49 correct to the nearest whole number. … [1] 3 (a) Convert 0.5 metres to millimetres. … mm [1] (b) Write 12 hours as a fraction of a day. … [1] 4 Write 0.67 as a percentage. … % [1] * 0000800000003 * , , Ĭ×ú¾Ġ´íÈõÏĪÅĊßû·þ× ĬÈñúÜĨĊĚÐćôÁ·¸ü»ĖĂ ĥååÕõÕŵĥĕµąÅÕåµÅÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 4
0607/11/O/N/25 © UCLES 2025 4 5 - 4 - 4 - 3 - 3 - 2 - 2 - 1 - 1 1 2 3 4 0 1 2 3 4 x y (a) On the grid, plot the point ( , ) 3 1 – . [1] (b) The line L passes through the point ( , ) 1 2 – . The gradient of line L is zero. On the grid, draw the line L. [1] 6 The list shows the number of bedrooms in each of 12 houses. 3 5 5 2 4 2 3 4 2 1 1 3 (a) Find the median. … [2] (b) Find the range. … [1] * 0000800000004 * , , ĬÕú¾Ġ´íÈõÏĪÅĊÝù·Ā× ĬÈñûÜĞüďëĉûÊĕĜÚëĞĂ ĥĕõÕµÕÅĕąµÅąąÕąµÕÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 5
0607/11/O/N/25 © UCLES 2025 5 [Turn over 7 Hamid walks at an average speed of 1.1 m/s. He walks for 1 minute and 30 seconds. Find the distance that Hamid walks. … m [2] 8 (a) Simplify. a b a a b 3 3 4 2 - + - + … [2] (b) Simplify. x x 2 7 2 … [1] (c) Expand. ( ) a a b 8 2 5 - … [2] * 0000800000005 * , , Ĭ×ú¾Ġ´íÈõÏĪÅĊÝû·Ā× ĬÈòüÔĬøğÎïĆÿÁĤþëĎĂ ĥĕąĕõµåõĕÅĕąąµĥõÅÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 6
0607/11/O/N/25 © UCLES 2025 6 9 In a competition, Amal scores 5 2 of her team’s goals. Amal scores 6 goals. Work out the total number of goals Amal’s team scores in the competition. … [2] 10 (a) Complete the mapping diagram. 4 7 9 11 … 12 21 … 33 42 x f(x) [2] (b) ( )x x 5 4 g = - Find the value of x when ( )x 6 g = . x = … [2] * 0000800000006 * , , ĬÙú¾Ġ´íÈõÏĪÅĊàû¶þ× ĬÈñüÏĢĐĥÖü÷öáĜğăĞĂ ĥÅåĕõĕåÕÕåµąÅµÅµĕÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 7
0607/11/O/N/25 © UCLES 2025 7 [Turn over 11 (a) Share $280 in the ratio 5 : 2. $ … and $ … [2] (b) Write the ratio 180 : 360 : 480 in its simplest form. … : … : … [2] 12 These are the first 4 terms of a sequence. 1 5 9 13 (a) Write down the next term in this sequence. … [1] (b) Explain why 31 is not in this sequence. … [1] 13 Use calculations to show that the interior angle of a regular octagon is 135º. [2] * 0000800000007 * , , ĬÛú¾Ġ´íÈõÏĪÅĊàù¶þ× ĬÈòû×ĨĔĕãþĊ³õĤ»ăĎĂ ĥÅÕÕµõŵÅÕĥąÅÕåõąÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 8
0607/11/O/N/25 © UCLES 2025 8 14 (a) 2 64 x = Find the value of x. x = … [1] (b) 4 4 1 y = Find the value of y. y = … [1] 15 These are the heights, in cm, of 12 flowers. 25 39 18 19 48 41 12 34 14 24 20 46 (a) Draw an ordered stem-and-leaf diagram for these heights. 1 2 3 4 Key … | … represents … cm [3] (b) Write down the fraction of these flowers with height less than 30 cm. … [1] * 0000800000008 * , , ĬÙú¾Ġ´íÈõÏĪÅĊÞû¶Ā× ĬÈòú×ĞĢĔØĄā¼×ÀęēĦĂ ĥõąÕõõÅĕåõĕąąÕąõĕÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 9
0607/11/O/N/25 © UCLES 2025 9 [Turn over 16 The area of a circle is cm 36 2 r . Find the radius of the circle. … cm [2] 17 (a) Write down all the factors of 35. … [2] (b) Find the lowest common multiple (LCM) of 30 and 54. … [2] * 0000800000009 * , , ĬÛú¾Ġ´íÈõÏĪÅĊÞù¶Ā× ĬÈñùÏĬĞĤáöðíă¸½ēĖĂ ĥõõĕµĕåõµąÅąąµĥµąÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 10
0607/11/O/N/25 © UCLES 2025 10 18 (a) O A B D C The diagram shows a circle, centre O, and the straight lines AB and CD. Write down the mathematical name of (i) the line AB … [1] (ii) the line CD. … [1] (b) NOT TO SCALE P Q R O 46° Points P, Q and R lie on a circle, centre O. QR is a diameter. Work out angle PRQ. Angle PRQ = … [2] * 0000800000010 * , , ĬÙú¾Ġ´íÈõÏĪÅĊßû¸þ× ĬÈóúÎĠĪĆÚċĊĒ»¾íëĎĂ ĥåĥĕõõĥĕąÅĕÅąõąõåÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 11
0607/11/O/N/25 © UCLES 2025 11 [Turn over 19 NOT TO SCALE 6 cm 8 cm 4 cm A D B E C Triangle ABC and triangle ADE are mathematically similar. Work out DE. DE = … cm [2] 20 Solve the simultaneous equations. x y 2 3 5 + = x y 4 11 – + = x = … y = … [3] Question 21 is printed on the next page. * 0000800000011 * , , ĬÛú¾Ġ´íÈõÏĪÅĊßù¸þ× ĬÈôùÖĪĦößí÷×ğ¶éëĞĂ ĥåĕÕµĕąõĕµÅÅąĕĥµµÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Question paper, page 12
0607/11/O/N/25 © UCLES 2025 12 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 0 -4 -3 -2 -1 -2 -5 -6 1 2 3 4 5 6 -1 1 2 3 4 5 6 A P -3 -4 y x (a) Describe fully the single transformation that maps triangle P onto triangle A. … … [3] (b) Translate triangle P by the vector 2 4 - J L KK N P OO. [2] * 0000800000012 * , , ĬÙú¾Ġ´íÈõÏĪÅĊÝû¸Ā× ĬÈôüÖĤĘóÜóðнĚċ»ĖĂ ĥĕÅÕõĕąÕõĕµÅÅĕŵåÕ DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DO NOT WRITE IN THIS MARGIN DFD
Mark scheme, page 1
This document consists of 9 printed pages. © Cambridge University Press & Assessment 2025 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (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.
Mark scheme, page 2
0607/11 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.
Mark scheme, page 3
0607/11 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.
Mark scheme, page 4
0607/11 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
Mark scheme, page 5
0607/11 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
Mark scheme, page 6
0607/11 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) 4 1 1(b) 2 B1 for 2 correct 1(c) 0.01 1 2 87 cao 1 3(a) 500 1 3(b) 12 oe 24 1 4 67 1 5(a) Correct point plotted 1
Mark scheme, page 7
0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 7 of 9 Question Answer Marks Partial Marks 5(b) Straight line at 2 = − y 1 6(a) 3 nfww 2 M1 for putting at least first or last 7 numbers in order 1, 1, 2, 2, 2, 3, 3[...] or […]3, 3, 3, 4, 4, 5, 5, 6(b) 4 1 7 99 2 M1 for 1.1 90 oe or B1 for 66 or 33 8(a) 5a – 2b final answer 2 B1 for 5a or –2b in answer or 5a – 2b seen then spoilt 8(b) 7 2x final answer 1 8(c) 2 16 40 − a ab final answer 2 B1 for 2 16a or –40ab seen in answer or 2 16 40 − a abseen then spoilt 9 15 2 M1 for 6 2 × 5 oe or 6 + 6 + 6 2 oe or 2 6 5 = x oe or stating that 1 5 is 6 2 10(a) 27 14 2 B1 for each 10(b) 2 2 M1 for 6 = 5x – 4 or better 11(a) 200 and 80 2 B1 for each or M1 for 280 5 2 + soi by 40 11(b) 3:6:8 2 B1 for any correct partial simplification 12(a) 17 1
Mark scheme, page 8
0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 8 of 9 Question Answer Marks Partial Marks 12(b) Convincing explanation showing that 31 does not appear in the sequence e.g. shows 21, 25, 29, 33 e.g. the 8th term is 29 and the 9th term is 33 e.g. solves 4n – 3 = 31 to reach n = 8.5 and states that this is not an integer e.g. shows 31, 27, 23, 19, 15, 11 and states 11 is not in the sequence 1 13 360 180 8 − = 135 or ( ) 8 2 180 = 135 8 − 2 M1 for 360 8 or ( ) 8 2 180 − or better 14(a) 6 1 14(b) –1 1 15(a) 2 B1 for correct but unordered or for 2 correct ordered rows Correct example for the key e.g. 1 15(b) 7 12 1 16 6 2 M1 for 2 π 36π r = or 2 36 = r oe or better 17(a) 1, 5, 7, 35 2 B1 for 3 or 4 correct with max 1 incorrect 17(b) 270 2 B1 for 2 × 3 × 3 × 3 × 5 or 270 k evaluated or for listing at least 3 multiples of both 30 and 54. or M1 for 30 = 2 × 3 × 5 and 54 = 2 × 3 × 3 × 3 or correct factor trees or tables for both
Mark scheme, page 9
0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2025 © Cambridge University Press & Assessment 2025 Page 9 of 9 Question Answer Marks Partial Marks 18(a)(i) Chord 1 18(a)(ii) Tangent 1 18(b) 44 2 B1 for angle BAC = 90º or M1 for 90 – 46 19 9 2 M1 for 12 6 8 oe or 6 + 6 4 8 oe or 8 6 8 4 = + x oe or [scale factor =] 1.5 oe 20 [x = ] – 2 [y = ] 3 3 M1 for correct method to eliminate one variable. A1 for each answer If A0 scored, SC1 for two values that satisfy one equation 21(a) Rotation 90 anticlockwise oe (0,0) oe 3 B1 for each 21(b) Correct triangle, vertices at (4, –1), (0, –1), (4, 1) 2 B1 for translation by 2 k or 4 − k
What you needed in this session
Cambridge’s own grade thresholds for 2025 Oct/Nov, Paper 1 · Variant 1. A higher threshold means an easier paper — the bar moves with how the cohort did.