Cambridge IGCSE Mathematics - International 0607 — 2018 May/June Paper 1 · Variant 3

This document consists of 8 printed pages. IB18 06_0607_13/4RP © UCLES 2018 [Turn over  Cambridge International Examinations Cambridge International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 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 0607/13/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 0607/13/M/J/18 [Turn over Answer all the questions. 1 Write 0.37 as a percentage. % [1] 2 Write down the next square number after 36. [1] 3 Change 5 years into months. months [1] 4 Change 260 centimetres into metres. metres [1] 5 The distance-time graph shows Sammy’s journey from Geneva to Berne and back to Geneva. (a) How far from Geneva was Sammy at 11 00? km [1] (b) Sammy stays for 1 2 1 hours in Berne. He then returns to Geneva. (i) How long did the journey from Berne to Geneva take? hours [1] (ii) Find the average speed of this journey. km / h [1] 10 00 Time 40 80 120 160 Distance (km) 09 00 11 00 12 00 13 00 14 00 15 00 16 00 Berne Geneva 0

4 © UCLES 2018 0607/13/M/J/18 6 On the grid, shade two squares to give the diagram rotational symmetry of order 4. [1] 7 A polygon has 8 sides. Write down the mathematical name for this shape. [1] 8 Complete the statement. An angle that is more than 90° but is less than 180 is called [1] 9 The diagram shows a line L drawn on a grid. (a) On the grid, draw the line x = 3. [1] (b) Write down the co-ordinates where the line L and the line x = 3 intersect. ( , ) [1] 10 Find the distance between the points (–3, 4) and (5 , 4). [1] –2 –1 0 1 2 3 1 2 3 4 –3 –2 –1 5 4 –3 –4 –5 –4 x L y

5 © UCLES 2018 0607/13/M/J/18 [Turn over 11 Complete the mapping diagram.                         14 11 6 3 1                         . … 16 11 8 6 [1] 12 Write down the next term of this sequence. 5, 9, 13, 17, … [1] 13 Find an expression for the nth term of this sequence. 4, 7, 10, 13, 16, … [2] 14 The pie chart represents 60 students. Work out how many of the students are boys. [2] 120° Boys Girls

6 © UCLES 2018 0607/13/M/J/18 15 The diagram shows an isosceles triangle. Find the value of x. x = [2] 16 (a) Measure the angle marked x. x = [1] (b) Write down the bearing of Q from P. [1] 17 Find the highest common factor (HCF) of 54 and 72. [1] 18 Work out (3 × 106) × (4 × 104) . Write your answer in standard form. [2] North x° P Q NOT TO SCALE 148 x° NOT TO SCALE °

7 © UCLES 2018 0607/13/M/J/18 [Turn over 19 Describe fully the single transformation that maps shape A onto shape B. [3] 20 A is the point (4, 9) and B is the point (1, 3). Find   AB .   AB =           [2] 21 A bag contains red, blue and green beads only. There are 40 beads in the bag. One bead is chosen at random. The probability that the bead is red is 8 1 . The probability that the bead is blue is 8 5 . (a) Find the probability that the bead is green. [2] (b) Work out the number of blue beads in the bag. [1] Questions 22 and 23 are printed on the next page. y x 4 4 3 2 1 –1 1 2 3 –3 –2 –1 0 A B

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 0607/13/M/J/18 22 Write down an expression, in terms of x and y, for the total cost of x pens at 25 cents each and y pens at 45 cents each. cents [2] 23 Solve the simultaneous equations. 3x + 2y = 21 4x – 5y = 5 x = y = [4]

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 0607/13 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.

0607/13 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.

0607/13 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

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 Page 4 of 5 Question Answer Marks Guidance 1 37 1 2 49 1 3 60 1 4 2.6 [0] 1 5(a) 80 1 5(b)(i) 2 1 5(b)(ii) 80 1 FT their (b)(i) 6 1 7 octagon 1 8 obtuse 1 9(a) Correct line 1 9(b) (3, 2) 1 FT their (a) provided the lines interesct on the grid 10 8 1 11 19 1 12 21 1 13 3n + 1 2 B1 for 3n + k or jn + 1 (j ≠ 0) 14 20 2 M1 [60 ×] 360 120 or better 15 16 2 M1 for 180 – 148, soi 32 16(a) 75 1 16(b) 075 1 FT their (a) if their (a) < 90 17 18 1 18 1.2 × 1011 2 B1 for correct value not in standard form seen 19 Rotation 90° clockwise oe [about] origin oe 3 B1 for each

0607/13 Cambridge IGCSE – Mark Scheme PUBLISHED May/June 2018 © UCLES 2018 Page 5 of 5 Question Answer Marks Guidance 20       − − 6 3 2 B1 for each component If 0 scored, SC1 for       6 3 21(a) 8 2 oe 2 M1 for 8 1 + 8 5 or 8 5 8 1 1 − − 21(b) 25 1 22 25x + 45y 2 B1 for either term correct seen If 0 scored, SC1 for answer 0.25x + 0.45y 23 [x =] 5 [y =] 3 4 M1 Correctly equating one set of coefficients M1 Correct method to eliminate one variable A1 each If 0 scored, SC1 for correct substitution into one of original equations and evaluation to find other variable