Cambridge IGCSE Mathematics - International 0607 — 2024 May/June Paper 1 · Variant 2

This document has 8 pages. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 [ ]. * 2 5 0 8 1 6 2 8 3 7 * DC (LK/SG) 333498/2 © UCLES 2024 ,

 
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2 0607/12/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 * 0019656645202 * ,

 
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3 0607/12/M/J/24 © UCLES 2024 [Turn over Answer all the questions. 1 Write down the value of 49. … [1] 2 Write down all the factors of 93. … [2] 3 The diagram shows three fair spinners. 2 5 6 3 7 8 4 1 Spinner A 10 7 5 11 6 8 3 9 Spinner B 2 5 9 3 7 8 11 1 Spinner C Each spinner is spun once. Complete the statement. Spinner … is least likely to land on an even number. [1] 4 The table shows information about the colours of fruit and vegetables in a basket. Fruits Vegetables Total Orange 12 5 17 Red 8 4 12 Green 5 11 16 Total 25 20 45 (a) Write down the total number of fruits. … [1] (b) Write down the number of green vegetables. … [1] * 0019656645203 * ,

 
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4 0607/12/M/J/24 © UCLES 2024 5 Work out. . . 0 5 0 1 # … [1] 6 On the diagram, shade one more section to give a pattern with one line of symmetry. [1] 7 Insert one pair of brackets to make this statement correct. 4 16 2 12 28 # + - = [1] 8 ( ) y m 5 3 = + Find y when m = 9. y = ĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭ [2] 9 Write 8 8 8 8 8 # # # # as a power of 8. … [1] * 0019656645204 * ,

 
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5 0607/12/M/J/24 © UCLES 2024 [Turn over 10 6 cm NOT TO SCALE The diagram shows a cuboid with height 6 cm. The base of the cuboid is a square with area cm 25 2. Work out the total surface area of the cuboid. … cm2 [3] 11 The scatter diagram shows the mass of carbohydrate and the mass of fibre eaten by each of 8 people one day. Fibre (g) 35 30 25 20 15 10 5 0 0 50 100 150 200 Carbohydrate (g) 250 300 350 (a) The table shows information for 4 more people. Carbohydrate (g) 150 170 230 300 Fibre (g) 25 10 15 5 Plot these points on the scatter diagram. [2] (b) Write down the type of correlation shown in the scatter diagram. … [1] * 0019656645305 * ,

 
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6 0607/12/M/J/24 © UCLES 2024 12 (a) On the number line, show the inequality n 1 2- . -5 -4 -3 -2 -1 0 1 2 3 4 5 n [1] (b) Write down the smallest integer that satisfies the inequality n 1 2- . … [1] 13 Increase 120 by 15%. … [2] 14 The diagram shows two straight lines crossing. 4x° 2x° NOT TO SCALE Find the value of x. x = ĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭĭ [2] 15 Work out. 5 2 9 ' … [2] * 0019656645306 * ,

 
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7 0607/12/M/J/24 © UCLES 2024 [Turn over 16 This table shows information about the number of goals scored by 20 football players. Number of goals 1 2 3 4 Number of players 10 3 6 1 Work out the mean. … [2] 17 A is the point (-2, 3) and B is the point (3, -4). Point A is translated onto point B. Find the vector for this translation. f p [2] 18 A notepad costs $x. A pencil costs y cents. Write down an expression for the total cost, in cents, of 3 notepads and 5 pencils. … [2] 19 Write .6 39 10 2 # - as an ordinary number. … [1] 20 Factorise completely. ab a 6 9 2 - … [2] Questions 21, 22 and 23 are printed on the next page. * 0019656645307 * ,

 
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8 0607/12/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 ( ) f for x x x 2 4 1 5 G G = - - Complete the statement. The range of f(x) is ( ) f x 6 G G - … [1] 22 NOT TO SCALE x cm 12 cm 6 cm 9 cm These triangles are mathematically similar. Find the value of x. x = … [2] 23 Box A and box B both contain red pencils and green pencils. The probability of taking a red pencil from box A is 3 1. The probability of taking a red pencil from box B is 2 1. Luis takes a pencil at random from each box. Work out the probability that Luis takes two red pencils. … [2] * 0019656645308 * ,

 
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This document consists of 5 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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.

0607/12 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.

0607/12 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

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 4 of 5 Question Answer Marks Partial marks 1 7 1 2 1, 3, 31, 93 2 B1 for 2 or 3 correct factors and no more than one incorrect extra 3 C 1 4(a) 25 1 4(b) 11 1 5 0.05 oe 1 6 or 1 7 (4 + 16) × 2 – 12 = 28 1 8 60 2 M1 for 5 (9 3)   oe 9 85 cao 1 10 170 3 B1 for length of base = 5 soi M1 for 4  6  their 5 oe or k  6  their 5 + 2  25, k = 1, 2, 3 or 4 11(a) Correctly plotted points at: (150, 25) (170, 10) (230, 15) (300, 5) 2 B1 for 2 or 3 points correctly plotted 11(b) Negative 1 12(a) 1 12(b) 0 cao 1 13 138 2 B1 for 18 seen or 6 and 12 seen or M1 for 15 120 120 100   oe 14 30 nfww 2 M1 for 4 2 180   x x oe 15 2 45 final answer 2 M1 for 2 1 5 9  oe or 2 5 ÷ 45 5 oe 16 1.9 cao 2 M1 for [1 × ]10 + 2 × 3 + 3 × 6 + 4[ × 1] soi by 38 or or – 5 – 4 – 3 – 2 – 1 0 1 2 3 4 5

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 5 of 5 Question Answer Marks Partial marks 17 5 7        2 B1 for answer 5    k or 7        k If 0 scored, SC1 for answer 5 7        or 7 5        18 300x  5y oe final answer 2 B1 for 300x or 5y in their final expression or for 3x + 0.05y as final answer or 300x  5y oe seen then spoilt 19 0.0639 cao 1 20   3 2 3  a b a final answer 2 B1 for answer   2 3 2 3  ab a or (6 9 )  a b a or   3 2 3  a b a seen then spoilt 21 6 1 22 8 2 B1 for scale factor of 4 3 soi or M1 for 12 6 9  x oe 23 1 6 2 M1 for 1 1 3 2 