Cambridge IGCSE Mathematics - International 0607 — 2022 Oct/Nov Paper 1 · Variant 1

This document has 8 pages. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 2022 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 8 1 9 4 3 9 8 9 2 * DC (CJ/SW) 301813/2 © UCLES 2022

2 0607/11/O/N/22 © UCLES 2022 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/22 © UCLES 2022 [Turn over Answer all the questions. 1 Work out how many days there are in 12 weeks. … days [1] 2 Write 6847 correct to the nearest hundred. … [1] 3 O On the circle, centre O, draw a radius. [1] 4 Find 10% of 950. … [1] 5 Draw Pattern 2 in this sequence. Pattern 1 Pattern 2 Pattern 3 Pattern 4 [1]

4 0607/11/O/N/22 © UCLES 2022 6 Complete the mapping diagram. 4 5 6 7 8 … 13 16 19 22 x f(x) [1] 7 Simplify. f f f 12 2 4 - + … [1] 8 In a class of 42 students, 7 2 are girls. Work out the number of boys in the class. … [2] 9 Write down the integer that is nearest to 39. … [1] 10 Work out. ( ) 10 15 4 # - - … [1]

5 0607/11/O/N/22 © UCLES 2022 [Turn over 11 The marks for 19 students in a test are recorded below. 72 84 75 100 87 95 81 72 90 89 98 87 74 100 79 85 91 76 93 (a) Complete an ordered stem-and-leaf diagram. 7 8 9 10 Key … | … represents … [3] (b) How many students scored less than 84? … [1] (c) Write down the median. … [1] 12 ( ) h x x 2 5 1 = - Work out ( ) h 2 . … [1] 13 Work out. 5 2 20 9 + … [2] 14 Simplify. y y ' … [1]

6 0607/11/O/N/22 © UCLES 2022 15 20 cm 12 cm 3 cm NOT TO SCALE The diagram shows a triangle of base 20 cm and height 3 cm attached to a rectangle with sides of length 20 cm and 12 cm. Find the total area of the shape. … cm2 [2] 16 { , , , , , , , , , } 3 4 5 6 7 8 9 10 11 12 ,= M = {multiples of 3} (a) Complete the Venn diagram. ∩ M 3 [1] (b) Write down n(M). … [1] 17 Find the equation of the line parallel to the line y x 2 5 = + that passes through the point ( , ) 0 3 - . y = … [2]

7 0607/11/O/N/22 © UCLES 2022 [Turn over 18 0 5 6 4 x y 3 2 1 –3 –2 –1 –1 –2 – 4 –5 – 6 4 5 6 3 2 1 E D Describe fully the single transformation that maps triangle D onto triangle E. … … [2] 19 A fair 6-sided die is numbered 1, 2, 3, 4, 5 and 6. The die is thrown twice. Find the probability that the die lands on 4 both times. … [2] 20 Find the highest common factor (HCF) of 26 and 78. … [1] 21 Solve. x 5 7 3 H + - … [2] Questions 22, 23 and 24 are printed on the next page.

8 0607/11/O/N/22 © UCLES 2022 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 These are the first five terms in a sequence. 2 - 2 6 10 14 Find the nth term. … [2] 23 Idris runs at an average speed of 5 m/s. Find how long he takes to run 3 km. … seconds [3] 24 Solve the simultaneous equations. x y x y 2 4 3 1 - = + =- x = … y = … [2]

This document consists of 5 printed pages. © UCLES 2022 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) October/November 2022 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 2022 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 2022 © UCLES 2022 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 2022 © UCLES 2022 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

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2022 © UCLES 2022 Page 4 of 5 Question Answer Marks Partial marks 1 84 1 2 6800 cao 1 3 Radius drawn 1 4 95 1 5 1 6 10 1 7 14 f final answer 1 8 30 2 B1 for 12 or M1 for 5 7 soi 9 6 cao 1 10 20 final answer 1 11(a) Correct stem and leaf diagram 7 2 2 4 5 6 9 8 1 4 5 7 7 9 9 0 1 3 5 8 10 0 0 2 B1 for no more than two errors or omissions or for all lines containing the correct numbers but not all in correct order. Correct key e.g 7 | 2 is 72 1 11(b) 7 1 11(c) 87 1 12 4.5 oe final answer 1 13 17 20 oe 2 M1 for both fractions with a common denominator e.g. 8 20 and 9 20 oe 14 1 1 15 270 nfww 2 M1 for ( ) 20 12 12 3 2 + + oe or better or for 0.5 × 20 × 3 or better 16(a) All correctly placed. [3,] 6, 9, 12 inside circle, and 4, 5, 7, 8, 10, 11 outside 1

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED October/November 2022 © UCLES 2022 Page 5 of 5 Question Answer Marks Partial marks 16(b) 4 1 FT their (a) 17 [y = ] 2x – 3 final answer 2 B1 for answer [y =] kx – 3, k ≠ 0 or [y =] 2x + c 18 Reflection x = 1 2 B1 for each 19 1 36 2 M1 for 1 6 seen and used 20 26 1 21 x ⩾ –2 final answer 2 M1 for first step correct i.e. 5x ⩾ –3 –7 or x + 7 5 ⩾ 3 5 − 22 4n – 6 oe final answer 2 B1 for 4n + c or kn – 6, k ≠ 0 as answer 23 600 3 B2 for 10 without units. or M2 for 3000 5 seen or B1 for 3000 seen or M1 for 3 5 figs figs seen 24 [x = ] 2 [y = ] ‒1 2 B1 for each If 0 scored, SC1 for two values satisfying one equation