Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS Paper 3 (Core) 0607/33 May/June 2023 MARK SCHEME Maximum Mark: 96 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 2023 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components. This document consists of 7 printed pages. © UCLES 2023 [Turn over 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2023 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 descriptors 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. © UCLES 2023 Page 2 of 7 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2023 Maths-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, 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 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 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 cao dep FT isw nfww oe rot SC soi answers which round to correct answer only dependent follow through after error ignore subsequent working not from wrong working or equivalent rounded or truncated Special Case seen or implied © UCLES 2023 Page 3 of 7 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED Question Answer Marks May/June 2023 Partial Marks 1(a)(i) 4 oe 15 1 1(a)(ii) 109 2 B1 for 125 or 16 1(b) 2 × 2 × 2 × 2 × 5 or 24 × 5 2 M1 for repeated division of 80 or for 2 and 5 seen as factors 1(c) 4.44 × 109 or 4.442 × 109 2 B1 for 4 442 000 000 1(d) 0.00 039 1 2(a)(i) [1, 1, 1] 2, 2, 2, 4, 5, 7, [5] 2 B1 for 4 or 5 correct 2(a)(ii) 30 1 2(a)(iii) 9 1 FT their table 2(a)(iv) 5 1 FT their table 2(a)(v) Correct bar chart 2 FT their table B1 for 4 or 5 correct bars 2(b)(i) 9 1 2(b)(ii) 8 1 2(b)(iii) 7 2 M1 for listing values in order 3(a)(i) Correct pattern 1 3(a)(ii) [4] 6, 8, 10, 12 2 B1 for 3 correct 3(a)(iii) 7 1 3(a)(iv) 22 1 3(b)(i) −3 and 27 2 B1 for each 3(b)(ii) +6 oe 1 3(b)(iii) 6n – 9 oe final answer 2 B1 for 6n k 4(a)(i) 15 2 M1 for 5 × 32 – 10 × 3 or B1 for 45 4(a)(ii) 5y(y − 2) final answer 2 B1 for 5(y2 − 2y) or y(5y − 10) 4(b)(i) 13 1 4(b)(ii) 4 2 M1 for 3x = 7 + 5 © UCLES 2023 Page 4 of 7 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED Question 5(a) Answer May/June 2023 Marks 155 Partial Marks 4 B1 for 540 B1 for x, x, 80, 75, 75 M1 for [2x =] 540 – 80 – 75 – 75 OR B1 for 360 B1 for x, 75, 40, 90 M1 for[x =] 360 − 75 − 40 – 90 OR M1 for any correct equation in x 5(b)(i) [OP = OQ =] radius of circle 1 5(b)(ii) 26 2 5(b)(iii) 58 2 B1 for PSR = 90° soi 6(a)(i) 33.1[0] 2 B1 for 25.6[0] or 7.5[0] 6(a)(ii) 1.1[0] 2 B1 for 8.9[0] 6(a)(iii) 7 3 6(b)(i) Complete, correct diagram 2 M1 for 0.2[0] correctly placed once 6(b)(ii) 0.04 oe 2 M1 for their 0.2 × their 0.2 7(a)(i) 8 1 7(a)(ii) [Perimeter =] 22 [Area =] 18 B3 B1 for [Perimeter =] 22 B2 for [Area =] 18 or M1 for 5×2 or 4×2 or 6×2 or 3×2 cm cm2 B1 © UCLES 2023 Page 5 of 7 M1 for 180 128 2 30.30 2 6.40 oe 2.50 or M1 for 30.30 – 2 × 6.40 soi by 17.50 M2 for 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED Question Answer May/June 2023 Marks Partial Marks 7(a)(iii) 144 1 FT (their18) × 8 7(b) 60 5 B3 for height = 8 or M2 for 172 − 152 or M1 for 172 = h2 + 152 or better M1 for 15 their height 2 M1 for 5000 soi by 500 3 7 8(a) [Atif =] 1500 [Faiza=] 3500 2 8(b) 1925 2 B1 for 275 8(c) 45.6[0] 2 M1 for 40 × 0.14 oe soi by 5.6[0] 9(a) Correct reflection (–2, 1) (–3, 1) (–2, 4) 1 9(b) Correct rotation (1, –2) (1, –3) (4, –2) 2 B1 for correct but 90 anticlockwise or for correct orientation, wrong position 9(c) Translation 2 B1 for each 5 1 9(d) Correct enlargement (3, 1) (3, 7) (5, 1) 2 B1 for two points correct or for correct size, wrong position 10(a) Positive 1 10(b) 5.8 1 10(c) [y =] 3 1 x+3 2 B2 for [y =] 1 x + k or [ y =] mx + 3 2 k, m ≠ 0 or M1 for 10(d)(i) Two points correctly plotted 1 10(d)(ii) Steeper gradient oe 1 © UCLES 2023 Page 6 of 7 rise for their triangle run 0607/33 Cambridge IGCSE – Mark Scheme PUBLISHED Question Answer Marks May/June 2023 Partial Marks 11(a)(i) Correct diagram 2 B1 for correct shape or for vertex in correct quadrant 11(a)(ii) (−3.5[0], −12.25) 2 B1 for each 11(b) Correct diagram 2 B1 for two correct branches but joined or for one correct branch 11(c) −6, −3, 2 3 B1 for each © UCLES 2023 Page 7 of 7