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

This document has 12 pages. Any blank pages are indicated. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 (Extended) 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 [ ]. * 9 1 1 7 9 2 6 2 5 0 * DC (LK/SW) 329169/2 © UCLES 2024 ,

   
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2 0607/22/M/J/24 © UCLES 2024 Formula List For the equation ax bx c 0 2 + + = x a b b ac 2 4 2 ! = - - Curved surface area, A, of cylinder of radius r, height h. r A rh 2 = Curved surface area, A, of cone of radius r, sloping edge l. r A rl = Curved surface area, A, of sphere of radius r. r A r 4 2 = 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 = sin sin sin A a B b C c = = cos a b c bc A 2 2 2 2 = + - sin bc A 2 1 Area = A C B c b a * 0019654978402 * ,

   
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3 0607/22/M/J/24 © UCLES 2024 [Turn over Answer all the questions. 1 A B C D 110° NOT TO SCALE In triangle ABC, AC = BC and BCD is a straight line. (a) Find angle ACD. Angle ACD = … [1] (b) Find angle ABC. Angle ABC = … [1] 2 10 students each record their test scores in mathematics and in science. The table shows the results. Mathematics 20 18 13 20 11 15 18 14 19 19 Science 20 17 16 19 10 15 20 11 20 16 10 10 11 12 13 14 15 16 17 18 19 20 11 12 13 14 15 Mathematics Science 16 17 18 19 20 (a) Complete the scatter diagram. The first six points have been plotted for you. [2] (b) Write down the type of correlation shown in your scatter diagram. … [1] * 0019654978403 * ,

   
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4 0607/22/M/J/24 © UCLES 2024 3 Work out . . 0 4 0 001 # . … [1] 4 80 81 82 83 84 85 86 87 88 89 From the list of numbers, write down a prime number. … [1] 5 Petra repairs cars. The cost of a repair is a fixed charge of $C plus a charge of $h per hour. Find an expression, in terms of C, h and n, for the total cost, $T, of a repair that takes Petra n hours. T = … [2] 6 Solve the inequality. x 7 11 G … [1] * 0019654978404 * ,

   
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5 0607/22/M/J/24 © UCLES 2024 [Turn over 7 (a) Simplify 98. … [1] (b) Rationalise the denominator. 5 2 3 - … [2] 8 Solve. x 11 7 + = … [2] 9 Factorise completely. x y ax ay 2 6 3 - - + … [2] * 0019654978405 * ,

   
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6 0607/22/M/J/24 © UCLES 2024 10 w v t X C D A B u NOT TO SCALE ABCD is a cyclic quadrilateral and the diagonals AC and BD intersect at X. (a) Complete the statement using two of t, u, v and w. Angle … is equal to angle … [1] (b) Angle ° DAB 75 = . Find angle DCB. Angle DCB = … [1] (c) AB = 8 cm, AX = 6 cm, BX = 4 cm and DC = 5 cm. Work out CX. CX = … cm [2] * 0019654978406 * ,

   
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7 0607/22/M/J/24 © UCLES 2024 [Turn over 11 ab 10 100 1 1 Simplify ( ) ( ) a b 10 10 7 8 # # # . Give your answer in standard form. … [2] 12 180° 360° 0° y x The diagram shows the graph of sin y x = for ° ° x 0 360 G G . (a) On the diagram, sketch the graph of cos y x = for ° ° x 0 360 G G . [1] (b) ( ) cos sin x x k = + . Find a possible value of k. k = … [1] * 0019654978507 * ,

   
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8 0607/22/M/J/24 © UCLES 2024 13 P 4 3 5 7 1 10 Q R U The Venn diagram shows the number of elements in each subset. (a) Use set notation to complete the statement. P Q R + + = … [1] (b) Find ( ) Q R P n , + l ` j. … [1] (c) Shade the subset ( ) P Q R + , l . [1] 14 Simplify x 25 16 2 3 ` j . … [2] * 0019654978508 * ,

   
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9 0607/22/M/J/24 © UCLES 2024 [Turn over 15 A triangle has sides of length 3 cm, 5 cm and 7 cm. Work out the largest angle in the triangle. … [3] 16 – 2 – 1 1 0 2 3 4 5 6 7 8 x 3 2 1 y H G Describe fully the single transformation that maps shape G onto shape H. … … [3] * 0019654978509 * ,

   
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10 0607/22/M/J/24 © UCLES 2024 17 N P 6 cm NOT TO SCALE 3 cm 2 cm A The diagram shows a cuboid measuring 6 cm by 3 cm by 2 cm. Find the sine of the angle PAN, the angle between the diagonal PA and the base of the cuboid. Sine of angle PAN = … [4] * 0019654978510 * ,

   
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11 0607/22/M/J/24 © UCLES 2024 BLANK PAGE * 0019654978511 * ,

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12 0607/22/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. BLANK PAGE * 0019654978512 * ,

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This document consists of 5 printed pages. © Cambridge University Press & Assessment 2024 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/22 Paper 2 (Extended) 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.

0607/22 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.

0607/22 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

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 4 of 5 Question Answer Marks Partial Marks 1(a) 70 1 1(b) 35 1 2(a) 4 points correct only 2 B1 for 3 correct and at most 2 incorrect 2(b) positive 1 3 [0].0004 or 4 4 10  or 1 2500 1 4 83 or 89 1 5 C + nh oe final answer 2 B1 for nh 6 7 11 x or 7 11 x  1 7(a) 7 2 1 7(b)   3 5 2  or 3 5 6  2 M1 for 5 2 5 2    8 –18, –4 2 B1 for each or M1 for 11 7   x or 2 22 72 0    x x 9 ( 3 )(2 )   x y a oe final answer 2 B1 for (2 ) 3 (2 )    x a y a or ( 2) 3 ( 2)     x a y a or 2( 3 ) ( 3 )    x y a x y or 2(3 ) (3 )     y x a y x 10(a) t, w 1 10(b) 105 1 10(c) 2.5 or 5 2 or 1 2 2 2 M1 for 8 4 5 CX oe 11 16 10 10  ab final answer 2 Allow 10 ab oe e.g. 0.1ab B1 for 15 10  ab seen 12(a) Correct sketch 1 350 300 250 200 150 100 50 0 1 0.5 0 -0.5 -1 350 300 250 200 150 100 50 0 1 0.5 0 -0.5 -1 350 300 250 200 150 100 50 0 1 0.5 0 -0.5 -1 350 300 250 200 150 100 50 0 1 0.5 0 -0.5 -1

0607/22 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2024 © Cambridge University Press & Assessment 2024 Page 5 of 5 Question Answer Marks Partial Marks 12(b) 90 oe 1 13(a)  1 13(b) 18 1 13(c) 1 14 24 125x final answer 2 B1 for 125 kx or 24 kx 15 120 3 M2 for [cos = ] 2 2 2 3 5 7 2 3 5    or M1 for [cos =] 2 2 2 3 7 5 2 3 7    or 2 2 2 7 5 3 2 7 5    16 Stretch [s.f.] 1 2 or 0.5 x = –1 invariant 3 B1 for each 17 2 7 4 B3 for diagonal = 7 OR M3 for sin = 2 2 2 2 2 3 6   their or M2 for 22 + 32 + 62 or M1 for 22 + 32 or 32 + 62 or 22 + 62