Cambridge IGCSE Mathematics - International 0607 — 2024 May/June Paper 1 · Variant 1

This document has 8 pages. [Turn over * 4 0 4 9 4 0 0 8 3 4 * Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2024 45 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 and you will be given marks for correct methods even if your answer is incorrect. ● All answers should be given in their simplest form. INFORMATION ● The total mark for this paper is 40. ● The number of marks for each question or part question is shown in brackets [ ]. DC (DE/SG) 332657/1 © UCLES 2024

2 0607/11/M/J/24 © UCLES 2024 Formula List Area, A, of triangle, base b, height h. A = bh 2 1 Area, A, of circle, radius r. A = r2 r Circumference, C, of circle, 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 Curved 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

3 0607/11/M/J/24 © UCLES 2024 [Turn over Answer all the questions. 1 2 3 12 40 60 From the list of numbers, write down all the multiples of 6. … [1] 2 A bucket contains 9000 millilitres of water. Write down the number of litres of water in the bucket. … litres [1] 3 The diagram shows a shape made from a rectangle and a triangle. (a) On the diagram, draw arrows on two lines that are parallel. [1] (b) On the diagram, mark an acute angle. [1] 4 0 1 2 3 1 2 y x P (a) Write down the coordinates of the point P. (… , …) [1] (b) Plot the point (1.2, 1). [1]

4 0607/11/M/J/24 © UCLES 2024 5 The diagram represents the route of a walker. North P A walker starts at point P on the diagram and walks: • 2 squares north, as shown by the dotted line then • 3 squares west and then • 4 squares south. Complete the route of the walker on the grid. [2] 6 These are the distances, in km, cycled by eleven cyclists in one week. 13 27 19 12 15 32 36 24 10 18 21 (a) Find the median. … km [2] (b) Find the range. … km [1] 7 Work out. . . 1 2 0 3 # … [1]

5 0607/11/M/J/24 © UCLES 2024 [Turn over 8 Work out. 6 14 2 ' - … [1] 9 A map has a scale of 2 cm represents 5 km. Write this scale as a ratio in its simplest form. … : … [2] 10 Simplify. f g f g 4 3 2 - - - … [2] 11 Here is a ferry timetable. Port A 05 00 10 05 15 35 20 00 Port B 06 55 21 55 Port C 18 20 23 10 Port D 13 10 Port E 08 35 14 00 19 00 23 50 Work out the shortest time taken for the journey from port A to port E. … h … min [2] 12 Work out 15 as a percentage of 60. …% [1]

6 0607/11/M/J/24 © UCLES 2024 13 Expand. ( ) x x 3 2 - … [2] 14 Factorise. q 15 35 + … [1] 15 NOT TO SCALE 6 cm 4 cm 8 cm Work out the volume of the triangular prism. … cm3 [3] 16 The table shows the number of minutes taken by 28 students to solve a problem. Number of minutes (m) m 0 1 1 G m 1 2 1 G m 2 3 1 G m 3 4 1 G m 4 5 1 G m 5 6 1 G Number of students 1 5 6 10 4 2 One of these students is chosen at random. Find the probability that this student took 3 minutes or less to solve the problem. Give your answer as a fraction in its simplest form. … [2]

7 0607/11/M/J/24 © UCLES 2024 [Turn over 17 Use set notation to describe the shaded region. M C U … [1] 18 Rearrange the formula to make x the subject. y x 4 5 = + x = … [2] 19 U = {15, 16, 17, 18, 19, 20} P = {prime numbers} Write down the elements of Pl. … [1] 20 Find an expression for the nth term of this sequence. 45 40 35 30 25 … [2] Questions 21, 22 and 23 are printed on the next page.

8 0607/11/M/J/24 © UCLES 2024 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 Jenna cycles at an average speed of 15 km/h. Find how many minutes she will take to cycle 10 km. … minutes [2] 22 Find the equation of the line parallel to y x 5 1 = + that passes through ( , ) 0 2 - . … [2] 23 20 cm 10 cm A B D C NOT TO SCALE Triangle ABC is mathematically similar to triangle ADB. AC = 20 cm and AB = 10 cm. Work out AD. AD = … cm [2]

This document consists of 5 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2024 MARK SCHEME Maximum Mark: 40 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 2024 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 2 of 5 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.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 3 of 5 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 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

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 4 of 5 Question Answer Marks Partial marks 1 12 and 60 only 1 2 9 1 3(a) or 1 3(b) Clear indictation of acute angle 1 4(a) (2.2, 1.4) 1 4(b) (1.2, 1) correctly plotted 1 5 2 M1 for first stage correct from correct start or second stage correct for their first stage from correct start or for correct 2-stage path but from wrong start or for a distance west followed by a distance south from correct start. 6(a) 19 2 M1 for correctly ordering first or last 6 numbers i.e. 10, 12, 13, 15, 18, 19, …. or …. , 19, 21, 24, 27, 32, 36 6(b) 26 1 7 0.36 1 8 – 1 1 9 1 : 250 000 2 M1 for conversion to consistent units seen e.g. 250 000 [cm] or 500 000 [cm] or 0.000 02 [km] or 0.02 [m] and 5000 [m] 10 3f – 5g final answer 2 B1 for 3f or ‒5g in final answer or for 3f – 5g seen then spolit 11 3 (h) 25 (min) oe 2 B1 for one of the following seen oe, 3h 35min (i.e first or 0500 ferry) 3h 55min (i.e second or 1005 ferry) 3h 50min (i.e fourth or 2000 ferry) or for 3 h 25 min but not as answer or the 15 35 ferry indicated 12 25 1

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 5 of 5 Question Answer Marks Partial marks 13 3x2 – x3 final answer 2 B1 for 3x2 or – x3 in final answer or for 3x2 – x3 seen then spolit 14 5(3q  7) final answer 1 15 96 nfww 3 M2 for 4 6 8 2   oe or M1 for 4 6 2  or M1 for their area of triangle × 8 If zero scored, SC1 for answer 192 16 3 7 cao 2 B1 for numerator 12 seen or denominator 28 seen 17  M C 1 18 4y – 20 or 4(y – 5) final answer 2 M1 for correct first step, e.g. 4y = x + 20 or y – 5 = 4 x 19 15, 16, 18, 20 1 20 5 50   n oe final answer 2 B1 for answer 5   n k or 50  jn ( 0)  j or for 5 50   n oe seen then spoilt 21 40 2 M1 for 60 × 10 ÷ 15 or for 60 ÷ 15 or 10 ÷ 15 oe Alternative method B1 for finding a correct pair of intermediate values e.g. 5km in 20 min or 7.5km in 30 min or 2.5km in 10 min or 30km in 120 min or 30km in 2h[our] 22 y = 5x ‒ 2 oe 2 B1 for answer 5x – 2 or y = 5x +– 2 or y = 5x + p oe, p ≠ 1 or y = qx ‒ 2 oe, q ≠ 0 23 5 2 B1 for scale factor of 2 soi or M1 or for AD ÷ 10 [ = ]10 ÷ 20 oe