Cambridge IGCSE Mathematics - International 0607 — 2022 May/June Paper 1 · Variant 1

This document has 8 pages. [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 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 [ ]. * 7 8 2 6 6 2 3 3 9 0 * DC (CJ/CB) 302845/2 © UCLES 2022

2 0607/11/M/J/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/M/J/22 © UCLES 2022 [Turn over Answer all the questions. 1 Write down the mathematical name for this shape. … [1] 2 Change 21 days into weeks. … weeks [1] 3 In a shop, there are 3 red roses, 5 white roses and 4 yellow roses. Milo chooses a rose at random. Which colour of rose is he most likely to choose? … [1] 4 A carton contains 1 litre of juice. The juice is poured into glasses. A full glass holds 300 ml of juice. Complete the statement. There are … full glasses and … ml of juice left. [2] 5 Write down the value of 121. … [1]

4 0607/11/M/J/22 © UCLES 2022 6 Find 5 3 of 30. … [1] 7 Boys Girls Total Swimming 13 30 Football 26 2 28 Running 3 7 Cycling 8 12 Total 46 34 80 The table shows the favourite sports of 80 students. Complete the table. [2] 8 Measure angle x. x° x = … [1] 9 Complete this statement. 25 1 100 = = % [1]

5 0607/11/M/J/22 © UCLES 2022 [Turn over 10 Complete the mapping diagram. 12 16 20 … 40 7 9 11 15 21 x f(x) [1] 11 Three packets of sweets cost 60 cents. Work out the cost of four packets of these sweets. … cents [1] 12 Work out. ( ) ( ) 5 7 1 4 # - - … [2] 13 Work out. 7 3 9 5 # Give your answer as a fraction in its lowest terms. … [2]

6 0607/11/M/J/22 © UCLES 2022 14 The value of a car is $3000. At the end of one year the value of the car has reduced by 25%. Work out the value of the car at the end of one year. $ … [2] 15 –2 –1 0 1 2 3 4 8 12 y 4 –12 –8 –4 5 6 8 7 16 x This is the graph of y x x 6 2 = - . (a) On the grid, draw the line of symmetry. [1] (b) Write down the equation of this line of symmetry. … [1] 16 Factorise fully. xy x 8 4 - … [2] 17 The probability that a bus is not late is always 0.9 . Heather uses the bus 20 times. Work out how many times the bus is expected to arrive late. … [2]

7 0607/11/M/J/22 © UCLES 2022 [Turn over 18 x° 3x° 20° NOT TO SCALE Work out the value of x. … [2] 19 Write the ratio 360 : 200 : 120 in its simplest form. … : … : … [2] 20 Solve the simultaneous equations. x y x y 5 2 30 3 4 32 + = + = x = … y = … [3] Questions 21, 22 and 23 are printed on the next page.

8 0607/11/M/J/22 © UCLES 2022 21 Write as a single fraction. x y 2 3 - . … [2] 22 There are 112 books on a bookshelf. 84 are paperback books (P). 59 are fiction books (F). 37 of the paperback books are fiction books. (a) Complete the Venn diagram. P U F [2] (b) Find n( ) . P F , l … [1] (c) What type of books are represented by ( ) P F , l? … [1] 23 9 9 9k 5 3 ' = - - (a) Find the value of k. k = … [1] (b) Using your answer to part (a), write 9k as a fraction. … [1] 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.

This document consists of 5 printed pages. © UCLES 2022 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 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 May/June 2022 series for most Cambridge IGCSE, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 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 May/June 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 May/June 2022 © UCLES 2022 Page 4 of 5 Question Answer Marks Partial marks 1 Pentagon 1 2 3 1 3 White 1 4 3 and 100 in correct positions 2 B1 for 3 or 100 in the correct position If zero, then SC1 if total of juice is 1 litre 5 11 1 6 18 cao 1 7 Swimming 17 Running 10 Cycling 4 2 B1 for 2 correct 8 125 1 9 4 and 4 1 10 28 1 11 80 1 12 6 nfww 2 M1 for (‒2) × (‒3) 13 5 21 2 B1 for 15 63 oe 14 2250 2 B1 for 750 seen or M1 for  25 3000 3000 100   oe 15(a) Ruled line through x = 3 1 15(b) x = 3 1FT FT their drawn line of symmetry 16 4x(2y – 1) Final answer 2 B1 for x(8y – 4) or 4(2xy – x) or 2(4xy – 2x) or 2x(4y – 2) or for correct answer seen then spoilt 17 2 2 M1 for (1– 0.9) × 20 oe 18 40 nfww 2 M1 for 3x + x + 20 = 180 or better 19 9 : 5 : 3 2 B1 correct ratio not simplified fully, e.g. 18 : 10 : 6

0607/11 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2022 © UCLES 2022 Page 5 of 5 Question Answer Marks Partial marks 20 [x =] 4 final answer [y =] 5 final answer 3 M1 for eliminating one variable. A1 for each If 0 scored, SC1 for correct substitution and evaluation to find the other variable. 21 3 2 6 x y  oe Final answer 2 M1 for the two fractions correct with common denominator or for correct answer seen then spoilt 22(a) 2 B1 for 47, 37 and 22 correctly positioned B1 for 6 correctly positioned If zero scored, award SC1 for two of 47, 37, 22 in correct place 22(b) 6 1FT FT their 6 provided < 112 22(c) Books which are not fiction or paperback oe 1 23 –2 1 1 81 1FT FT only if k is negative P U F 6 47 37 22