Cambridge IGCSE Mathematics - International 0607 — 2018 May/June Paper 1 · Variant 2

This document consists of 8 printed pages. IB18 06_0607_12/RP © UCLES 2018 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) May/June 2018 45 minutes Candidates answer on the Question Paper. Additional Materials: Geometrical Instruments READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. Do not use staples, paper clips, glue or correction fluid. You may use an HB pencil for any diagrams or graphs. DO NOT WRITE IN ANY BARCODES. Answer all the questions. CALCULATORS MUST NOT BE USED IN THIS PAPER. All answers should be given in their simplest form. You must show all the relevant working to gain full marks and you will be given marks for correct methods even if your answer is incorrect. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 40.

2 © UCLES 2018 0607/12/M/J/18 Formula List Area, A, of triangle, base b, height h. A = 1 2 bh Area, A, of circle, radius r. A = r2 Circumference, C, of circle, radius r. C = 2r Curved surface area, A, of cylinder of radius r, height h. A = 2rh Curved surface area, A, of cone of radius r, sloping edge l. A = rl Curved surface area, A, of sphere of radius r. A = 4r2 Volume, V, of prism, cross-sectional area A, length l. V = Al Volume, V, of pyramid, base area A, height h. V = 1 3 Ah Volume, V, of cylinder of radius r, height h. V = r2h Volume, V, of cone of radius r, height h. V = 1 3 r2h Volume, V, of sphere of radius r. V = 4 3 r3

3 © UCLES 2018 0607/12/M/J/18 [Turn over Answer all the questions. 1 Work out. 6 + 24 ÷ 3 [1] 2 By rounding each number to one significant figure, estimate the value of 3.17 × 4.8 . [2] 3 Work out 3 2 of 21. [1] 4 Find 20% of 200. [1] 5 Write down a square number between 12 and 18. [1] 6 (a) Write 2 × 2 × 2 as a power of 2. [1] (b) Work out 32. [1]

4 © UCLES 2018 0607/12/M/J/18 7 The diagram shows a triangle on a 1 cm2 grid. Find the area of the triangle. cm2 [1] 8 9 cm NOT TO SCALE The length of this rectangle is 9 cm. The perimeter of this rectangle is 30 cm. Work out the width of this rectangle. cm [2] 9 1 kg of bananas and 2 kg of pears cost $5.95 in total. Pears cost $1.80 per kilogram. Work out the cost of 1 kg of bananas. $ [2]

5 © UCLES 2018 0607/12/M/J/18 [Turn over 10 Find the lowest common multiple (LCM) of 12 and 16. [2] 11 (a) Write down the co-ordinates of point A. ( , ) [1] (b) Plot the point (–3, 1). Label this point B. [1] 12 Find the values of x and y. x = y = [2] y x – 4 – 4 4 4 3 2 1 –3 –2 –1 1 2 3 –3 –2 –1 0 A NOT TO SCALE x° 80° y° 70°

6 © UCLES 2018 0607/12/M/J/18 13 The point P has co-ordinates (2, 12) and the point Q has co-ordinates (10, 8). Find the co-ordinates of the midpoint of PQ. ( , ) [2] 14 The list shows the mark for each of ten students in an examination. 7 9 5 5 8 2 6 4 4 9 (a) Find the median. [2] (b) Find the mean. [2] 15 A = {2, 3, 4, 5, 6, 7} B = {2, 3, 5, 8} (a) Write down n(A). [1] (b) Write down the elements of A  B. { } [1] 16 The equations of some straight lines are shown below. x = 4 y = 3x – 3 y = 4x – 3 y = 4x + 7 y = 4 y = –3x – 3 Write down the equations of the two lines that are parallel. and [1]

7 © UCLES 2018 0607/12/M/J/18 [Turn over 17 y x – 4 – 4 4 4 3 2 1 –3 –2 –1 1 2 3 –3 –2 –1 0 A On the grid, draw the image of triangle A after a reflection in the line y = 1. [2] 18 Describe the single transformation that maps y = f(x) onto y = f(x) – 2. [2] 19 f(x) = x2 + 3 Find the range of f(x) when the domain is {–2, 0, 2, 3}. { } [2] Questions 20, 21 and 22 are printed on the next page.

8 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 International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2018 0607/12/M/J/18 20 Simplify fully. e f e 3 5 2  [2] 21 Write down all integer values of x that satisfy –3 < x 1 . [2] 22 Solve the simultaneous equations. 5x – y = 7 4x – y = 5 x = y = [2]

IGCSE™ is a registered trademark. This document consists of 5 printed pages. © UCLES 2018 [Turn over Cambridge Assessment International Education Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 Paper 1 (Core) May/June 2018 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 2018 series for most Cambridge IGCSE™, Cambridge International A and AS Level and Cambridge Pre-U components, and some Cambridge O Level components.

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 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 May/June 2018 © UCLES 2018 Page 3 of 5 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 May/June 2018 © UCLES 2018 Page 4 of 5 Question Answer Marks Guidance 1 14 1 2 15 2 M1 for an attempt to multiply 3 or 5 by an appropriate value (need not be rounded) 3 14 1 4 40 1 5 16 1 6(a) 23 1 6(b) 9 1 7 8 1 8 6 2 M1 for 30 − 9 − 9 soi 12 or 30 ÷ 2 soi 15 9 [$]2.35 2 M1 for 1.8[0] × 2 soi 3.60 10 48 2 B1 for 24×3 oe or any other correct multiple or M1 for 12, 24, 36... and 16, 32, 48... 11(a) (3, 2) 1 11(b) correct point plotted 1 12 [x = ] 80 [y = ] 30 2 B1 for each If zero scored, SC1 for their x and their y add to 110 13 (6, 10) 2 B1 for each If zero scored, SC1 for reversed values provided correct working shown 14(a) 5.5 2 M1 for correctly ordering at least 6 numbers 14(b) 5.9 2 M1 for Σ x soi 59 15(a) 6 1 15(b) 2, 3, 4, 5, 6, 7, 8 in any order 1 16 y = 4x – 3 and y = 4x + 7 1

0607/12 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 Page 5 of 5 Question Answer Marks Guidance 17 Correct image with vertices (1, 0), (1, –1) and (3, 1) 2 B1 for correct orientation in wrong position. If zero scored, SC1 for correct reflection in x = 1 18 Translation 0 2     −   2 B1 for each 19 3, 7 and 12 in any order with no additional answers 2 B1 for 2 correct values 20 2 15 f oe final answer 2 B1 for 2 15 ef e or M1 for 2 5 3 f × 21 –2, –1, 0, 1 2 B1 for 3 correct values with no extras 22 [ ] 2 x = [ ] 3 y = 2 B1 for each If zero scored, SC1 for correct substitution and evaluation to find the other variable