Cambridge IGCSE Mathematics - International 0607 — 2023 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 2023 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 [ ]. * 5 0 5 2 0 3 3 1 8 5 * DC (RW/FC) 318509/2 © UCLES 2023

2 0607/12/M/J/23 © UCLES 2023 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 0607/12/M/J/23 © UCLES 2023 [Turn over Answer all the questions. 1 Write down two multiples of 15. … , … [1] 2 These are the temperatures of four cities. °C 4 - °C 8 - °C 2 - °C 6 - Complete this statement. The coldest city has a temperature of … °C. [1] 3 Draw all the lines of symmetry on the rhombus. [2] 4 8 customers review a restaurant and give it a mark out of ten. These are the marks. 1 6 5 9 5 7 4 3 (a) Find the mean. … [2] (b) Find the range. … [1]

4 0607/12/M/J/23 © UCLES 2023 5 North A B (a) north-east east south-east south south-west west north-west From the list above complete the following statement. B is … of A. [1] (b) Write down the three-figure bearing of B from A. … [1] 6 0 5 6 4 x y 3 2 1 4 5 6 3 2 1 G B D E H F C A Complete each statement using a letter from A to H. (a) The x-coordinate and y-coordinate of point … are the same. [1] (b) The y-coordinate of point … is 0. [1] (c) Point … is the mid-point of FG. [1]

5 0607/12/M/J/23 © UCLES 2023 [Turn over 7 The table shows examples of data collected. Data Collected Type of Data Mass of honey collected from a beehive. Number of tomatoes collected from a tomato plant. Time taken for chicken eggs to hatch. Complete the table using the words Continuous or Discrete. [2] 8 Circle P has a diameter of 5 cm. Circle Q has a diameter of 20 cm. Find the scale factor of the enlargement from circle P to circle Q. … [1] 9 Complete the mapping diagram. x 8 6 2 14 20 f (x) … 4 2 8 11 [1] 10 Simplify. h h 4 - … [1]

6 0607/12/M/J/23 © UCLES 2023 11 Write down a prime number between 50 and 60. … [1] 12 Work out 5% of $4500. $ … [2] 13 NOT TO SCALE 18 cm 12 cm The diagram shows a shape made from four identical rectangles. Work out the shaded area. … cm2 [3] 14 U = {x | x is an integer where x 0 9 1 1 } A = {x | x is a factor of 8} List the elements of set Al. … [2]

7 0607/12/M/J/23 © UCLES 2023 [Turn over 15 The circumference of a circle is 10r cm. Work out the radius of the circle. … cm [2] 16 Change 780 square millimetres into square centimetres. … cm2 [1] 17 Axel has a mass of 60 kg and Bruno has a mass of x kg. The ratio mass of Axel : mass of Bruno = 2 : 3. Work out the value of x. x = … [2] 18 These are the first five terms in a sequence. 6 11 16 21 26 Find the nth term. … [2] 19 Simplify. r r2 # … [1] Questions 20, 21, 22 and 23 are printed on the next page.

8 0607/12/M/J/23 © UCLES 2023 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. 20 y x = and y x 3 - = are the equations of two parallel lines. Write down the gradient of these lines. … [1] 21 The probability of rolling a six on a biased die is 25 4 . The die is rolled 300 times. Find an estimate for the number of sixes rolled. … [2] 22 Solve x x 3 1 2 8 1 - + . … [2] 23 Work out 3 7 1 9 2 # . … [2]

This document consists of 5 printed pages. © UCLES 2023 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) May/June 2023 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 2023 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 2023 © UCLES 2023 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 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.

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2023 © UCLES 2023 Page 3 of 5 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 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 2023 © UCLES 2023 Page 4 of 5 Question Answer Marks Part marks 1 Any two multiples of 15 e.g. 15, 30 1 2 – 8 1 3 2 B1 for one correct with no extras or 2 correct lines and no more than 1 extra 4(a) 5 2 M1 for Σx evaluated soi by 40 4(b) 8 1 5(a) west 1 5(b) 270° 1 6(a) D 1 6(b) H 1 6(c) E 1 7 Continuous Discrete Continuous 2 B1 for 2 correct 8 4 1 9 5 1 10 –3h final answer 1 11 53 or 59 1 12 225 2 M1 for 5 4500 100  oe or better or SC1 for final answer 4275 13 108 3 M2 for 18 12 2  OR B1 for length of 1 rectangle = 9 soi or for width of 1 rectangle = 12 – their 9 soi M1 for 4  their length  their width of 1 rectangle 14 3, 5, 6, 7 2 B1 for 1, 2, 4, 8 seen or for three or four correct and up to one incorrect

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2023 © UCLES 2023 Page 5 of 5 Question Answer Marks Part marks 15 5 2 M1 for 2 10 r   oe or better If 0, SC1 for answer 5 16 7.8 1 17 90 2 M1 for 3 60 2  oe or for 30 seen 18 5n 1 oe final answer 2 B1 for 5n  j, any j or kn + 1, k ≠ 0 or for correct answer seen then spoilt 19 3r 1 20 1 cao 1 21 48 2 M1 for 4 25  300 oe or SC1 for final answer 48 300 22 x < 9 final answer 2 M1 for correct first step e.g. 3x – 2x –1 < 8 or for x < 9 seen then spoilt 23 44 63 2 B1 for 22 7 seen