Cambridge IGCSE Mathematics - International 0607 — 2023 Oct/Nov Paper 1 · Variant 2

This document has 8 pages. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 [ ]. * 3 8 5 8 2 9 5 5 0 3 * DC (CJ) 318516/1 © UCLES 2023

2 0607/12/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 0607/12/O/N/23 © UCLES 2023 [Turn over Answer all the questions. 1 Write down the mathematical name for a line joining the centre of a circle to its circumference. … [1] 2 Work out how many complete weeks there are in 60 days. … [1] 3 Write down the rule for continuing this sequence. 3, 6, 12, 24, 48, … … [1] 4 A person has a mass of 83 000 grams. Find the mass of the person in kilograms. … kg [1] 5 It costs 50 cents to post one letter. Work out the cost, in dollars, of posting 160 letters. $ … [2] 6 Write down the value of the cube root of 1000. … [1]

4 0607/12/O/N/23 © UCLES 2023 7 The table shows examples of types of data collected about members of a gym. Put a tick (3) in each row to show whether the data is Discrete or Continuous. Type of data Discrete Continuous Height Total time spent at gym Number of visits to gym Cost of membership [2] 8 Complete the mapping diagram. 2 4 5 … 10 4 16 25 49 100 x f(x) [1] 9 Work out. ( ) 15 4 9 ' - … [1] 10 A cuboid has dimensions 10 cm, 4 cm and 2 cm. Work out the volume of the cuboid. … cm3 [2]

5 0607/12/O/N/23 © UCLES 2023 [Turn over 11 {x x , ; = is an even number where } x 2 10 1 1 List the elements of the set ,. … [1] 12 These are the ages in years of 10 people. 28 32 33 33 34 35 36 37 41 45 Find the interquartile range. … years [2] 13 Orange paint is made by mixing 2 litres of red paint with 10 litres of yellow paint. Jasmine uses 3 litres of red paint to make orange paint. Work out the number of litres of yellow paint she uses. … [2] 14 Tom invests $400 at a rate of 2% per year simple interest. Work out the total value of the investment at the end of one year. $ … [2]

6 0607/12/O/N/23 © UCLES 2023 15 The interior angles of a polygon add up to 720°. Find the number of sides of the polygon. … [2] 16 The scatter diagram shows the relationship between the number of branches and the heights of 15 trees. 0 0 50 100 150 200 250 1 2 3 Tree height (m) Number of branches 4 5 The mean height of a tree is 3.2 m and the mean number of branches is 120. Use this information to draw the line of best fit. [2] 17 Solve. x x 5 3 4 19 - = + x = … [2] 18 The area of the European continent is .1 02 107 # km2. Write this area as an ordinary number. … km2 [1]

7 0607/12/O/N/23 © UCLES 2023 [Turn over 19 B A Point A is translated to point B by the vector c d e o . Find the value of c and the value of d. c = … d = … [2] 20 120 students are asked what they eat for lunch. 30 students eat sandwiches. 40 students eat fruit. 70 students did not eat sandwiches and did not eat fruit. Complete the Venn diagram. …… …… …… …… U Sandwiches Fruit [2] 21 An unbiased 6-sided spinner, numbered 1, 2, 3, 4, 5, 6, is spun twice. Find the probability that the spinner lands on the number 4 both times. … [2] Questions 22, 23 and 24 are printed on the next page.

8 0607/12/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 Solve the simultaneous equations. x y x y 3 5 4 9 + = - = x = … y = … [2] 23 A train leaves station X at 11 10 and travels at an average speed of 200 km/h. The train arrives at station Y at 11 22. Work out the distance between station X and station Y. … km [3] 24 Write as a single fraction. a a 8 3 4 + … [2]

This document consists of 5 printed pages. © UCLES 2023 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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.

0607/12 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.

0607/12 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

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 4 of 5 Question Answer Marks Guidance 1 Radius 1 2 8 cao 1 3 × 2 oe 1 4 83 1 5 80 2 M1 for 160 ÷ 2 oe or 160  50 oe 6 10 cao 1 7 Discrete Continuous ✓ ✓ ✓ ✓ 2 B1 for 3 correct 8 7 1 9 –3 1 10 80 2 M1 for 10  4  2 oe 11 4, 6, 8 1 12 4 nfww 2 B1 for 33 or 37 identified 13 15 2 M1 for 3 10 2  oe or 1 : 5 soi 14 408 2 M1 for 400 2 100  [+ 400] oe implied by 8 15 6 2 M1 for 180(n – 2) = 720 oe 16 Ruled line of best fit through mean point. 2 M1 for straight line within tolerance, not through mean point or straight line with positive gradient through mean point 17 –2 final answer 2 M1 for correct first step e.g. 5 4 3 19 = + + x x 18 10 200 000 cao 1 19 [c =] ‒4 [d =] 2 2 B1 for each If 0 scored SC1 for c = 4 and d = –2 or for c = 2 and d = –4

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2023 © UCLES 2023 Page 5 of 5 Question Answer Marks Guidance 20 2 M1 for sandwiches ∩ fruit = 20 soi or for 30 + 40 + 70 – 120 oe or for 30 – x + 40 – x + 70 = 120 oe or B1 for 3 sections completed correctly or for three integers with a total of 50 placed in the three regions for sandwiches and fruit or for three positive integers such that their total for sandwiches is 30 AND their total for fruit is 40 21 1 36 2 M1 for 1 6 seen and used to calculate final answer 22 [x = ] 2 [y = ] ‒1 2 B1 for each If 0 scored, SC1 for two values satisfying one equation 23 40 cao 3 M2 for 200 12 60  oe or B2 for 2400 or 2 10 or 1 5 or 10 3 or B1 for 12 soi 24 5 8 a final answer 2 M1 for both fractions correct with a common denominator. 10 U Sandwich 70 20 20 Fruit