Cambridge IGCSE Mathematics - International 0607 — 2013 May/June Paper 1 · Variant 3

This document consists of 11 printed pages and 1 blank page. IB13 06_0607_13/FP © UCLES 2013 [Turn over *5740333976* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core) May/June 2013 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, highlighters, glue or correction fluid. You may use a 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. www.XtremePapers.com

2 © UCLES 2012 0607/13/M/J/13 Formula List Area, A, of triangle, base b, height h. A = 1 2 bh Area, A, of circle, radius r. A = πr2 Circumference, C, of circle, radius r. C = 2πr Curved surface area, A, of cylinder of radius r, height h. A = 2πrh Curved surface area, A, of cone of radius r, sloping edge l. A = πrl Curved surface area, A, of sphere of radius r. A = 4πr2 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 = πr2h Volume, V, of cone of radius r, height h. V = 1 3 πr2h Volume, V, of sphere of radius r. V = 4 3 πr3

3 © UCLES 2012 0607/13/M/J/13 [Turn over For Examiner's Use 1 10 30 60 61 63 65 69 Using only numbers from the list above, write down (a) a multiple of 7, Answer (a) [1] (b) a prime number, Answer (b) [1] (c) the lowest common multiple of 20 and 30. Answer (c) [1] 2 Write 4 1 as (a) a decimal, Answer (a) [1] (b) a percentage. Answer (b) [1]

4 © UCLES 2012 0607/13/M/J/13 For Examiner's Use 3 The bar chart shows the grades obtained by a group of students in an examination. D 0 1 2 3 4 Frequency Grade 5 C B A (a) How many students achieved an A grade? Answer (a) [1] (b) Write down the modal grade. Answer (b) [1] (c) How many students were there altogether? Answer (c) [1] (d) How many more students achieved a B grade than a D grade? Answer (d) [1]

5 © UCLES 2012 0607/13/M/J/13 [Turn over For Examiner's Use 4 Ahmed earns $2500 in May. In June, he earns 2% more. Work out how much he earns in June. Answer $ [2] 5 This shape is drawn on a one-centimetre square grid. (a) Find the perimeter of this shape. Answer (a) cm [1] (b) Work out the area of this shape. Answer (b) cm2 [1]

6 © UCLES 2012 0607/13/M/J/13 For Examiner's Use 6 A box of chocolates contains 4 milk chocolates (M) and 6 plain chocolates (P). One chocolate is chosen at random and is not replaced. A second chocolate is chosen at random. (a) Find the probability that the first chocolate chosen is a milk chocolate. Answer (a) [1] (b) Complete the tree diagram. M M P … … … P M P … … … [3] (c) Find the probability that both of the chocolates chosen are milk chocolates. Answer (c) [2]

7 © UCLES 2012 0607/13/M/J/13 [Turn over For Examiner's Use 7 –4 –3 –2 –1 0 1 2 3 4 1 2 3 4 y x 5 –5 5 Q P Describe fully the single transformation which maps triangle P onto triangle Q. [3] 8 A B C 120° NOT TO SCALE ABC is a sector of a circle with circumference 300 cm. Angle ACB is 120°. Find the length of the arc AB. Answer cm [2]

8 © UCLES 2012 0607/13/M/J/13 For Examiner's Use 9 The diagram shows the graph of the function y = f(x) for –1 Y=x Y 2 . –4 –3 –2 –1 0 1 2 3 4 –3 –2 –1 1 2 3 y x (a) On the diagram, draw the graph of y = f(x + 3). [1] (b) On the diagram, draw the graph of y = f(x) – 2 . [1] (c) Describe the single transformation that maps y = f(x) onto y = f(x) – 2 . Answer (c) [2]

9 © UCLES 2012 0607/13/M/J/13 [Turn over For Examiner's Use 10 –6 –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –5 –4 –3 –2 –1 1 2 3 4 5 6 y x P The diagram shows the point P(–4, –2) . (a) =       2 8 On the grid, plot and label the point Q. [1] (b) R is the midpoint of the line PQ. Write down the co-ordinates of R. Answer (b) ( ) [1] (c) The line PQ is parallel to the line y = 4 1 x + 1 . , Write down the equation of the line PQ in the form y = mx + c Answer (c) y = [2]

10 © UCLES 2012 0607/13/M/J/13 For Examiner's Use 11 (a) Simplify. (i) 5 + 3d – 1 + 4d Answer (a)(i) [2] (ii) t3× t Answer (a) (ii) [1] (b) Expand the brackets. 8(4 – 3n) Answer (b) [1] (c) Factorise the following expression. 9x2 – 15xy Answer (c) [2]

11 © UCLES 2012 0607/13/M/J/13 For Examiner's Use 12 Solve the following equation. 7q – 5 = 6 – 3q Answer q = [2]

12 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. University of 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 2012 0607/13/M/J/13 BLANK PAGE

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2013 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/13 Paper 1 (Core), maximum raw mark 40 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 will not enter into discussions about these mark schemes. Cambridge is publishing the mark schemes for the May/June 2013 series for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level components and some Ordinary Level components. www.XtremePapers.com

Page 2 Mark Scheme Syllabus Paper IGCSE – May/June 2013 0607 13 © Cambridge International Examinations 2013 1 (a) 63 1 (b) 61 1 (c) 60 1 2 (a) 0.25 1 (b) 25% 1FT FT their (a) 3 (a) 2 1 (b) B 1 (c) 11 1 (d) 4 1 4 2550 2 M1 100 2 × 2500 or better o.e. 5 (a) 16 1 (b) 12 1 6 (a) 10 4 o.e. 1 (b) Completed tree diagram. First branch 10 4 and 10 6 . Second branches with 9 3 and 9 6 . And 9 4 and 9 5 . 1FT 1FT 1FT FT their (a) (c) 90 12 o.e. 2FT If B0 award M1 for attempt to multiply their 10 4 with their 9 3 . 7 Rotation 90° [anticlockwise] About origin or (0, 0) 1 1 1 8 100 2 M1 for 360 120 × 300 o.e.

Page 3 Mark Scheme Syllabus Paper IGCSE – May/June 2013 0607 13 © Cambridge International Examinations 2013 9 (a) Correct graph 1 (b) Correct graph 1 (c) Translation       −2 0 1 1 10 (a) (4, 0) 1 May be plotted on graph or written down (b) (0, –1) 1FT FT their Q (c) y = 4 1 x – 1 o.e. 2 M1 for y = 4 1 x + b or y = ax – 1 a, b ≠ 0 11 (a) (i) 4 + 7d 2 B1 for 4 or 7d seen (ii) t4 1 (b) 32 – 24n 1 (c) 3x(3x – 5y) 2 B1 for 3(3x2 – 5xy) or x(9x – 15y) 12 1.1 o.e. 2 M1 for 7q + 3q = 6 + 5 or better