Cambridge IGCSE Mathematics - International 0607 — 2013 May/June Paper 1 · Variant 2

This document consists of 12 printed pages. IB13 06_0607_12/4RP © UCLES 2013 [Turn over *2077414067* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 0607/12/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 0607/12/M/J/13 [Turn over For Examiner's Use 1 Write 5392 correct to (a) the nearest 100 , Answer (a) [1] (b) the nearest 10 . Answer (b) [1] 2 Here is a list of numbers. 4 5 11 20 27 39 43 Use the list to write down (a) a square number, Answer (a) [1] (b) a factor of 20, Answer (b) [1] (c) a multiple of 5, Answer (c) [1] (d) a prime number. Answer (d) [1] 3 Write down the order of rotational symmetry of this regular hexagon. Answer [1]

4 © UCLES 2012 0607/12/M/J/13 For Examiner's Use 4 (a) Work out 6 – 2 × 2 . Answer (a) [1] (b) Work out 4 1 of 128 . Answer (b) [1] (c) Find the value of 2-3 . Answer (c) [1] 5 Write down in order of size, starting with the smallest. 3 1 5 1 0.3 25% Answer I I I [2]

5 © UCLES 2012 0607/12/M/J/13 [Turn over For Examiner's Use 6 (a) –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –5 –4 –3 –2 –1 1 2 3 4 5 y x A Reflect triangle A in the y-axis. [1] (b) –6 –5 –4 –3 –2 –1 0 1 2 3 4 5 6 –5 –4 –3 –2 –1 1 2 3 4 5 y x B Rotate shape B through 90° clockwise about the origin. [2]

6 © UCLES 2012 0607/12/M/J/13 For Examiner's Use 7 (a) The line AB is drawn below. Mark a point C so that angle ABC = 124° . A B [1] (b) NOT TO SCALE 72° P Q North The bearing of Q from P is 072° . Find the bearing of P from Q. Answer (b) [2]

7 © UCLES 2012 0607/12/M/J/13 [Turn over For Examiner's Use 8 Elaine, Mark and Timi each spin the same spinner a number of times. They record how many times it lands on the number 4. Number of spins Number of times the spinner lands on 4 Elaine 10 2 Mark 100 26 Timi 200 49 Who will give the best estimate of the probability that the spinner lands on the number 4? Explain your answer. because [2]

8 © UCLES 2012 0607/12/M/J/13 For Examiner's Use 9 (a) The cost, in $, of hiring a machine is worked out using the formula cost = 50 + 25 × number of days hired. Work out the cost of hiring the machine for (i) 2 days, Answer (a)(i) $ [1] (ii) 1 week. Answer (a)(ii) $ [1] (b) Simplify. 5x + 4y + 2x – y Answer (b) [2] (c) Solve the following equation. 3x + 5 = 23 Answer (c) x = [2] (d) Solve the following inequality. 4x – 3 Y 7 Answer (d) [2]

9 © UCLES 2012 0607/12/M/J/13 [Turn over For Examiner's Use (e) Solve the simultaneous equations. 3x + y = 19 x + y = −5 Answer (e) x = y = [2]

10 © UCLES 2012 0607/12/M/J/13 For Examiner's Use 10 2 cm 3 cm NOT TO SCALE A badge is in the shape of a square with four congruent triangles attached. The square has side 3 cm. The triangles each have a perpendicular height of 2 cm. Work out the area of the badge. Answer cm2 [3]

11 © UCLES 2012 0607/12/M/J/13 [Turn over For Examiner's Use 11 The cumulative frequency curve shows the time, in minutes, spent by 50 customers at a supermarket checkout. 0 10 20 30 40 50 5 10 15 20 Time (min) Cumulative frequency (a) Use the graph to find (i) the median time, Answer (a)(i) min [1] (ii) the interquartile range. Answer (a)(ii) min [2] (b) How many customers spent less than 10 minutes at the checkout? Answer (b) [1] Question 12 is printed on the next page.

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 0607/12/M/J/13 For Examiner's Use 12 Triangles ABE and ACD are similar. AE = 4 cm, EB = 6 cm and DC = 9 cm. 9 cm 6 cm 4 cm B A E D C NOT TO SCALE Work out the length of ED. Answer cm [3]

CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2013 series 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/12 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 12 © Cambridge International Examinations 2013 1 (a) 5400 1 (b) 5390 1 2 (a) 4 1 (b) 4 or 5 or 20 1 (c) 5 or 20 1 (d) 5, 11 or 43 1 3 6 1 4 (a) 2 1 (b) 32 1 (c) 8 1 1 5 5 1 25% 0.3 3 1 2 B1 for any 3 in correct order or for all in correct order but reversed. 6 (a) correct reflection 1 (b) correct image 2 B1 correct rotation about another centre. or SC1 anticlockwise rotation of 90° 7 (a) Correctly drawn angle 1 ± 2° (b) 252° 2 M1 for 180 – 72 or better 8 Timi Number of times the spinner is spun is greater. o.e. 1 1 9 (a) (i) (ii) 100 225 1 1 (b) 7x + 3y 2 B1 for either 7x or 3y seen (c) 6 2 M1 for 1 correct step (d) x 2.5 2 M1 for 1 correct step (e) [x] = 12 [y] = −17 1 1 SC1 for reverse order. or M1 for correct equation in x or y. 10 21 3 M1 for 2 2 × 3 or better and M1 for (k × their Area triangle) + 9 Allow k = 1, but not 0.

Page 3 Mark Scheme Syllabus Paper IGCSE – May/June 2013 0607 12 © Cambridge International Examinations 2013 11 (a) (i) 9 to 9.5 1 (ii) 5.25 to 6.25 2 M1 for upper quartile (12 to 12.5) or lower quartile (6.25 to 6.75) (b) 28 cao 1 12 2 3 M1 for 6 9 or 9 6 or 6 4 or 4 6 o.e. seen and M1 AD = 4 × 6 9 o.e. or 4 ÷ 9 6 o.e. or better