Cambridge IGCSE Mathematics - International 0607 — 2022 Feb/March Paper 1 · Variant 2

This document has 8 pages. [Turn over DC (RW/CT) 220234/1 © UCLES 2022 * 8 6 9 0 0 0 8 9 5 7 * CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) February/March 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 [ ]. Cambridge IGCSE™

2 0607/12/F/M/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 0607/12/F/M/22 © UCLES 2022 [Turn over Answer all the questions. 1 Write 2 1 as a percentage. …% [1] 2 A B Write down the mathematical name for (a) angle A, … [1] (b) angle B. … [1] 3 Write down the second triangle number. … [1] 4 Complete the mapping diagram. 3 5 8 12 20 5 … 15 23 39 x f(x) [1]

4 0607/12/F/M/22 © UCLES 2022 5 0 1 – 1 2 3 4 5 1 2 3 4 5 6 y x (a) Plot the point (3, 4). [1] (b) Write down the coordinates of one of the points where the curve crosses the x-axis. ( … , … ) [1] 6 Work out. ( ) 2 3 4 # + … [1] 7 Work out. 8 4 3 2 + … [2] 8 – 2 – 1 0 1 2 3 4 n Complete the statement. This number line shows the inequality n 1 1 - … 3. [1]

5 0607/12/F/M/22 © UCLES 2022 [Turn over 9 These are the scores of 10 students in a mathematics test. 29 17 9 11 11 24 9 31 11 19 (a) Find the mode. … [1] (b) Work out the median. … [2] 10 Work out 20% of 45. … [1] 11 { A x x = is a positive integer less than 10 and x is a multiple of 4} List the elements of set A. … [1] 12 Sam and his brother share $42 in the ratio 2 : 5. Sam has the larger share. Find the amount Sam has. $ … [2]

6 0607/12/F/M/22 © UCLES 2022 13 Sara pays $1 per day for her mobile phone. In one week she can make 100 minutes of free calls. All other calls are charged at 50 cents per minute. Work out the total amount Sara pays in one week when she makes 120 minutes of calls. $ … [3] 14 (a) Alys rolls a fair six-sided die. Find the probability that Alys rolls a 2. … [1] (b) Elora has a six-sided die. She thinks that her die is biased. She rolls it 100 times to test it. (i) Complete the table. Number on die 1 2 3 4 5 6 Frequency 5 15 18 16 16 Relative frequency 0.05 0.15 [2] (ii) Write down the number Elora is most likely to get when she rolls her die. … [1] 15 Factorise completely. xy x 24 8 + … [2]

7 0607/12/F/M/22 © UCLES 2022 [Turn over 16 Simplify. x x 2 # … [1] 17 Write down the highest common factor (HCF) of 5 and 7. … [1] 18 A is the point (3, 8) and B is the point (5, 2 - ). Find the coordinates of the mid-point of AB. ( … , … ) [2] 19 Write down the two rational numbers from this list. 3 2 3 2 r … [1] 20 A bag contains 5 silver coins and 2 gold coins. Gill takes a coin at random from the bag and then replaces it. She does this a second time. Find the probability that both coins are gold. … [2] Questions 21, 22 and 23 are printed on the next page.

8 0607/12/F/M/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. 21 r NOT TO SCALE The area of the circle is rcm 16 2. Find the radius, r, of the circle. … cm [2] 22 In triangle ABC, cm AB AC x = = . BC is 4 cm longer than AB. Find an expression, in terms of x, for the perimeter of this triangle. Give your answer in its simplest form. … [2] 23 Work out ( ) ( ) 4 10 3 10 3 5 # # # - - . Give your answer in standard form. … [2]

This document consists of 5 printed pages. © UCLES 2022 [Turn over Cambridge IGCSE™ CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) February/March 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 February/March 2022 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 February/March 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.

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 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

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2022 © UCLES 2022 Page 4 of 5 Question Answer Marks Partial marks 1 50 1 2(a) Obtuse 1 2(b) Right angle 1 3 3 1 4 9 1 5(a) (3, 4) correctly plotted 1 5(b) (1, 0) or (3, 0) 1 6 14 1 7 18 2 B1 for 2 or 16 seen 8 ⩽ 1 9(a) 11 cao 1 9(b) 14 nfww 2 M1 for ordering at least first or last 6 or for 11 and 17 identified 10 9 1 11 4 and 8 only 1 12 30 nfww 2 M1 for 42 [×5] 2 + 5 oe 13 17 3 M2 for [1 ×] 7 + (120 – 100) × 0.5 oe or B1 for [$]7 or [$]10 or M1 for (120 – 100) × 0.5 oe If 0 scored, SC1 for [1 ×] 7 + (120 – 100) × 50 oe 14(a) 6 1 1 14(b)(i) 30 0.18 0.16 0.16 0.3[0] 2 B1 for each row oe ft their 30 14(b)(ii) 6 1 FT their biggest relative frequency less than 1

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED February/March 2022 © UCLES 2022 Page 5 of 5 Question Answer Marks Partial marks 15 8x(3y + 1) final answer 2 B1 for 8(3xy + 1) or x(24y + 8) or 2(12y2 +4x) or 2x(12y + 4) or 4(6xy +2x) or 4x(6y + 2) as final answer or for correct answer seen and spoilt 16 x3 1 17 1 cao 1 18 (4, 3) 2 B1 mark for each component. or M1 for (3 + 5) ÷ 2 oe and (8 – 2) ÷ 2 oe 19 2 3 and 2 only 1 20 4 49 2 M1 for 7 2 7 2 × oe 21 4 nfww 2 M1 for r 2 = 16 22 3x + 4 final answer 2 B1 for [BC =] x + 4 soi 23 1.2 × 10–7 cao 2 B1 for 1.2 × 10a (a ≠ 0) or b × 10–7 (b ≠ 0) or correct answer not in standard form seen e.g. 12 × 10–8