Cambridge IGCSE Mathematics - International 0607 — 2023 Oct/Nov Paper 1 · Variant 1

This document has 8 pages. [Turn over Cambridge IGCSE™ DC (CE/JG) 318514/2 © UCLES 2023 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 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 [ ]. * 4 2 9 9 7 6 4 4 1 4 *

2 0607/11/O/N/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 0607/11/O/N/23 © UCLES 2023 [Turn over Answer all the questions. 1 Work out how many days there are in 3 weeks. … [1] 2 Complete the statement. For any circle the diameter is … # the radius. [1] 3 Write down the value of 81. … [1] 4 The table shows information about 230 goats. Adult goats Kid goats Male 27 96 Female 23 84 Work out the total number of kid goats. … [1] 5 A 5-litre container of orange juice is used to fill cups that each hold 200 millilitres. Work out the maximum number of cups that can be filled. … [2] 6 Draw an angle of 57° at A. A [1]

4 0607/11/O/N/23 © UCLES 2023 7 Complete the sequence of the first six triangle numbers. 1, 3, … , 10, … , 21 [2] 8 Write these numbers in order of size, starting with the smallest. 4 3 83% 0.8 0.72 … 1 … 1 … 1 … [2] smallest 9 E is the point (3, 7) and F is the point (3, 11). Find the coordinates of the mid-point of EF. (… , …) [1] 10 Simplify. k d d k 8 4 3 6 - + - - … [2] 11 Work out 3 hours as a percentage of 15 hours. …% [2] 12 ( )x x 2 f 2 = - Work out f (6) . … [1]

5 0607/11/O/N/23 © UCLES 2023 [Turn over 13 Simplify. m 5 2 3 # … [1] 14 0 1 1 2 3 4 5 6 7 8 2 X Y 3 4 5 6 7 8 x y Describe fully the single transformation that maps shape X onto shape Y. … … [3] 15 Multiply out. ( )y 2 5 2 + … [1] 16 A semicircle has diameter 6 m. Find the arc length of this semicircle. Give your answer in terms of r . … m [2]

6 0607/11/O/N/23 © UCLES 2023 17 The angles in any triangle add up to 180°. The angles in triangle T are in the ratio 3 : 4 : 5. Work out the size of each angle in triangle T. … , … , … [3] 18 Solve the simultaneous equations. x y x y 2 3 2 16 =- - = x = … y = … [2] 19 Work out. ( ) ( ) 3 10 4 10 4 2 # # # Give your answer in standard form. … [2]

7 0607/11/O/N/23 © UCLES 2023 [Turn over 20 U 10 1 5 7 3 6 4 8 9 2 A B The Venn diagram shows two sets, A and B. (a) Write down the elements of set A. … [1] (b) One of the numbers is selected at random. Find the probability that this number is in both set A and set B. … [1] 21 Write down the equation of the line with gradient 1 that passes through (0, 5). … [2] Questions 22 and 23 are printed on the next page.

8 0607/11/O/N/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. 22 The grouped frequency table shows information about the number of hours worked by each of 80 doctors. Number of hours (t) Frequency t 10 20 1 G 8 t 0 0 2 3 1 G 16 t 0 0 3 4 1 G 21 t 0 0 4 5 1 G 35 (a) Write down the class interval containing the median. … t 1 G … [1] (b) Complete the cumulative frequency table. Number of hours (t) Cumulative frequency t 0 2 G 8 t 0 3 G t 40 G t 50 G [2] 23 These are the first five terms in a sequence. 225 223 221 219 217 Find the nth term. … [2]

This document consists of 5 printed pages. © UCLES 2023 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 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 October/November 2023 series for most Cambridge IGCSE, Cambridge International A and AS Level components, and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 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.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 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 October/November 2023 © UCLES 2023 Page 4 of 5 Question Answer Marks Partial marks 1 21 1 2 2 1 3 9 1 4 180 1 5 25 2 B1 for either 5000 [ml] or 0.2 [litres] or M1 for 5  1000 ÷ 200 oe 6 Correct angle drawn 1 7 6 and 15 in correct positions 2 B1 for 6 or 15 in correct position 8 0.72 3 4 0.8 83% 2 M1 for conversion to same form or B1 for 3 in the correct order. 9 (3, 9) 1 10 –14k + d final answer 2 B1 for final answer –14k + ad or bk + d or for correct answer seen then spoilt 11 20 2 M1 for   3 100 15  oe 12 34 1 13 6 5 m final answer 1 14 Rotation anti-clockwise 90° oe [centre] (5, 2) 3 B1 for each 15 10 + 4y final answer 1 16 3 2 M1 for 1 6 2 π 2 2     oe 17 45, 60 and 75 nfww 3 B2 for two correct nfww or M2 for 180 3 3 4 5  + + or 180 4 3 4 5  + + or 180 5 3 4 5  + + or M1 for 180 3 4 5 + + , implied by 15

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 5 of 5 Question Answer Marks Partial marks 18 [x =] 4 [y =] ‒2 2 B1 for each If 0 scored, SC1 for two values satisfying one equation 19 7 1.2 10  cao 2 B1 for 12 000 000 oe seen 20(a) 1, 3, 5, 7 cao 1 20(b) 1 10 1 21 5 = + y x oe 2 B1 for final answer of x + 5, y = x + p, y = qx + 5 q ≠ 0 22(a) 30 < t ⩽ 40 1 22(b) Number of hours (t) Frequency t ⩽ 20 8 t ⩽ 30 24 t ⩽ 40 45 t ⩽ 50 80 2 B1 for 1 correct 23 227 – 2n oe final answer 2 B1 for final answer −2n + j or 227 + kn, k < 0