Cambridge IGCSE Mathematics - International 0607 — 2012 May/June Paper 1 · Variant 1

This document consists of 9 printed pages and 3 blank pages. IB12 06_0607_11/RP © UCLES 2012 [Turn over *4459401971* UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 Paper 1 (Core) May/June 2012 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. For Examiner's Use www.XtremePapers.com

2 © UCLES 2012 0607/11/M/J/12 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 0607/11/M/J/12 [Turn over For Examiner's Use Answer all the questions. 1 (a) Work out (4 – 7)2. Answer (a) [1] (b) Write down the value of 144 . Answer (b) [1] 2 (a) Write 0.00724538 correct to 3 significant figures. Answer (a) [1] (b) Write your answer to part (a) in standard form. Answer (b) [1] 3 (a) Write down the first three multiples of 6. Answer (a) , , [1] (b) Find the lowest common multiple of 6 and 15. Answer (b) [2]

4 © UCLES 2012 0607/11/M/J/12 For Examiner's Use 4 In the Venn diagram shade the region A ∩ BV. U A B [1] 5 Peter buys one ticket in the school raffle. The school sells 1000 tickets. The winning ticket is drawn at random. What is the probability that Peter does not have the winning ticket? Answer [2]

5 © UCLES 2012 0607/11/M/J/12 [Turn over For Examiner's Use 6 (a) Simplify. 7(x – 2) – 3(3 + x) Answer (a) [2] (b) Solve the inequality. 7(x – 2) – 3(3 + x) < 1 Answer (b) [2] (c) Show your answer to part (b) on the number line below. –6 –8 –4 –2 0 2 4 6 8 [2]

6 © UCLES 2012 0607/11/M/J/12 For Examiner's Use 7 (a) Write as a single fraction. 4 3x + 3 x Answer (a) [2] (b) Simplify. 5 7 6 18 x x Answer (b) [2] 8 The first five terms of a sequence are 2, 5, 10, 17, 26. (a) Write down the next term in this sequence. Answer (a) [1] (b) Find the nth term of this sequence. Answer (b) [3]

7 © UCLES 2012 0607/11/M/J/12 [Turn over For Examiner's Use 9 Alice takes examinations in German and French. The probability that she passes German is 0.3 . The probability that she passes French is 0.6 . (a) Complete the tree diagram. German Pass Pass Fail … … 0.3 … Fail Pass Fail … … French [2] (b) Work out the probability that Alice passes German and fails French. Answer (b) [2]

8 © UCLES 2012 0607/11/M/J/12 For Examiner's Use 10 Lucy counts the number of words in each sentence of a film review. The number of words in each sentence is shown below. 7 8 12 7 9 11 4 12 8 12 Find (a) the mode, Answer (a) [1] (b) the mean, Answer (b) [2] (c) the range. Answer (c) [1] 11 One lap of the Melbourne Grand Prix circuit is 5200 metres. A racing driver completes a lap in 1.3 minutes. Calculate his average speed in kilometres per hour. Answer km/h [3]

9 © UCLES 2012 0607/11/M/J/12 For Examiner's Use 12 –6 –8 –10 –6 –8 –10 –4 –2 0 2 4 6 8 10 –4 –2 2 4 6 8 10 x A y (a) Reflect triangle A in the x-axis. Label it B. [1] (b) Translate triangle A by the vector       − − 10 6 . Label it C. [2] (c) Rotate triangle A 90o anti-clockwise about centre (2, 2). Label it D. [2]

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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 0607/11/M/J/12 BLANK PAGE

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2012 question paper for the guidance of teachers 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/11 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 must be read in conjunction with the question papers and the report on the examination. • Cambridge will not enter into discussions or correspondence in connection with these mark schemes. Cambridge is publishing the mark schemes for the May/June 2012 question papers for most IGCSE, GCE Advanced Level and Advanced Subsidiary Level syllabuses and some Ordinary Level syllabuses. www.XtremePapers.com

Page 2 Mark Scheme: Teachers’ version Syllabus Paper IGCSE – May/June 2012 0607 11 © University of Cambridge International Examinations 2012 1 (a) 9 1 (b) 12 1 Accept –12 [2] 2 (a) 0.00725 1 (b) 7.25 × 10–3 1 ft ft from (a) [2] 3 (a) 6, 12, 18 1 (b) 30 2 B1 for 30k, k > 1 [3] 4 U A B 1 [1] 5 1000 999 oe cao 2 M1 1000 1 oe seen or implied or 999:1000 [2] 6 (a) 4x – 23 2 If B0 award B1 for 4x – k or for kx – 23 (k Þ 0) or for 7x – 14 – 9 – 3x (b) x < 6 2 ft If B0 award M1 for adding their 23 to 1 or dividing by their 4, dependent on ax + b in part (a) (a or b not equal to 0). (c) 6 2 ft B1 for line in correct position and direction. ft with their answer to (b). B1 for empty circle. [6] 7 (a) 12 13x 2 If B0 award M1 for common denominator of 12 (b) 3x2 2 If B0 award B1 for 3xk or kx2 (allow 1 3 for 3) in a single term [4] 8 (a) 37 1 (b) n2 + 1 3 M1 for reaching second differences same M1 for an2 + bn + c (implies first M) a Þ 0 After 0 M1 for at least 2 trials involving square numbers [4] 9 (a) All probabilities correct 2 M1 for one pair of branches correct (b) 0.12 oe 2 ft M1 for their 0.3 × their 0.4 oe soi [4] 10 (a) 12 1 (b) 9 2 M1 for (their total)/10 seen (c) 8 1 [4]

Page 3 Mark Scheme: Teachers’ version Syllabus Paper IGCSE – May/June 2012 0607 11 © University of Cambridge International Examinations 2012 11 240 km/h 3 M2 for 3.1 5200 × 1000 60 oe M1 for 3.1 5200 [3] 12 (a) (2, –2) (6, –2) (6, –8) 1 (b) (–4, –8) (0, –8) (0, –2) 2 M1 for 2 points correct or correct horizontal or correct vertical translation (c) (2, 2) (2, 6) (–4, 6) 2 M1 for 2 points correct. SC1 correct 90o clockwise rotation or correct 90o anticlockwise rotation through incorrect centre. [5]