Cambridge IGCSE Mathematics - International 0607 — 2020 May/June Paper 1 · Variant 1

* 2 8 5 1 2 3 1 4 8 5 * Cambridge IGCSE™ DC (KN/SW) 188562/1 © UCLES 2020 [Turn over This document has 12 pages. Blank pages are indicated. CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2020 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 [ ].

2 0607/11/M/J/20 © UCLES 2020 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/M/J/20 © UCLES 2020 [Turn over Answer all the questions. 1 Write 73% as a fraction. … [1] 2 Write down all the factors of 11. … [1] 3 30° x° NOT TO SCALE B A AB is a straight line. Find the value of x. x = … [1] 4 (a) NOT TO SCALE Write down the mathematical name of this polygon. … [1] (b) NOT TO SCALE Write down the mathematical name of this polygon. … [1]

4 0607/11/M/J/20 © UCLES 2020 5 NOT TO SCALE O A B O is the centre of the circle. Write down the mathematical name of the line AB. … [1] 6 The diagram shows the favourite subject of each student in a class. 0 English French History Subject Number of students Mathematics Science 2 4 6 8 10 Write down the number of students whose favourite subject is (a) French, … [1] (b) mathematics. … [1] 7 Work out. 30 5 7 1 # - + … [1]

5 0607/11/M/J/20 © UCLES 2020 [Turn over 8 NOT TO SCALE 9 cm 9 cm This shape is made from an equilateral triangle and a square. Find the perimeter of this shape. … cm [2] 9 On the 1 cm2 grid, draw a triangle with an area of 6 cm2. [1] 10 Draw all the lines of symmetry on this regular pentagon. [2]

6 0607/11/M/J/20 © UCLES 2020 11 x° Find, by measuring, the angle marked x. … [1] 12 Change 4 m 25 cm into millimetres. … mm [1] 13 Simplify the ratio 10 : 15 . … : … [1] 14 Work out 25. … [1] 15 Solve the equation. x 4 1 6 + = x = … [2]

7 0607/11/M/J/20 © UCLES 2020 [Turn over 16 Find the coordinates of the mid-point of the line joining the point (0, 0) to the point (−2, 4). ( … , …) [2] 17 Write down the integers that satisfy the inequality n 3 7 1 1 . … [1] 18 The diagram shows the graph of ( ) y x f = . – 4 – 3 – 2 – 1 0 1 2 3 4 5 6 7 – 5 – 4 – 3 – 2 – 1 1 2 3 4 5 y x Draw the horizontal asymptote for the graph of ( ) y x f = . [1]

8 0607/11/M/J/20 © UCLES 2020 19 Apples are stored in boxes. There are 100 apples in a box. Two boxes are chosen at random and the apples are sorted into good and bad. (a) Complete the table of results. Good Bad Total Box 1 12 100 Box 2 95 100 Total 183 200 [2] (b) One of these 200 apples is chosen at random. Write down the probability that this apple is good. … [1] 20 8 cm NOT TO SCALE 6 cm x cm Work out the value of x. x = … [2]

9 0607/11/M/J/20 © UCLES 2020 [Turn over 21 The scatter diagram shows a correlation between x and y. y x 5 5 10 15 20 25 30 35 40 0 10 15 20 25 30 (a) Write down the type of correlation shown in the scatter diagram. … [1] (b) The mean point is (14, 18). (i) Draw the line of best fit. [2] (ii) Use your line of best fit to estimate the value of x when y 25 = . x = … [1] 22 A sphere has a radius of 3 cm. Find the surface area of the sphere. Give your answer in terms of r. … cm2 [2]

10 0607/11/M/J/20 © UCLES 2020 23 16 cm 8 cm 6 cm NOT TO SCALE x cm These triangles are similar. Find the value of x. x = … [1] 24 Describe fully the single transformation that maps y x2 = onto y x 4 2 = + . … [2] 25 Solve the simultaneous equations. x y 3 13 + = x y 2 10 + = x = … y = … [2]

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12 0607/11/M/J/20 © UCLES 2020 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 the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of Cambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge. BLANK PAGE

This document consists of 5 printed pages. © UCLES 2020 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2020 MARK SCHEME Maximum Mark: 40 Published Students did not sit exam papers in the June 2020 series due to the Covid-19 global pandemic. This mark scheme is published to support teachers and students and should be read together with the question paper. It shows the requirements of the exam. The answer column of the mark scheme shows the proposed basis on which Examiners would award marks for this exam. Where appropriate, this column also provides the most likely acceptable alternative responses expected from students. Examiners usually review the mark scheme after they have seen student responses and update the mark scheme if appropriate. In the June series, Examiners were unable to consider the acceptability of alternative responses, as there were no student responses to consider. Mark schemes should usually be read together with the Principal Examiner Report for Teachers. However, because students did not sit exam papers, there is no Principal Examiner Report for Teachers for the June 2020 series. Cambridge International will not enter into discussions about these mark schemes. Cambridge International is publishing the mark schemes for the June 2020 series for most Cambridge IGCSE™ and Cambridge International A & AS Level components, and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2020 © UCLES 2020 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 May/June 2020 © UCLES 2020 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 May/June 2020 © UCLES 2020 Page 4 of 5 Question Answer Marks Partial Marks 1 73 100 1 2 1 and 11 only 1 3 150 1 4(a) Hexagon 1 4(b) Quadrilateral 1 5 tangent 1 6(a) 4 1 6(b) 9 1 7 –4 1 8 45 2 M1 for 9 + 9 + 9 + 9 + 9 oe 9 correct triangle 1 10 5 correct lines drawn 2 B1 for any correct line 11 328 1 12 4250 1 13 2 : 3 1 14 32 1 15 1 14 or 5 4 or 1.25 2 M1 for 4x = 5 or x + 1 4 = 6 4 16 (−1, 2) 2 B1 for each 17 4, 5, 6 1 18 Ruled line drawn at y = 2 1 19(a) 88 5 17 correctly placed 2 B1 for two correct 19(b) 183 200 1 20 10 2 M1 for 62 + 82 21(a) Positive 1

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2020 © UCLES 2020 Page 5 of 5 Question Answer Marks Partial Marks 21(b)(i) Ruled line through mean point 2 B1 for line through mean, positive gradient but not within tolerance or B1 for line with positive gradient not through mean point but within tolerance 21(b)(ii) 17 to 20 1 22 36π final answer 2 M1 for 4 × π × 3 × 3 23 12 1 24 Translation 2 B1 for each 0 4    25 [x =] 3 [y =] 4 2 B1 for each If 0 scored, SC1 for correct substitution and evaluation to find the other variable