Cambridge IGCSE Mathematics - International 0607 — 2009 May/June Paper 1 · Variant 1

This document consists of 10 printed pages and 2 blank pages. IB09 06_0607_01/4RP © UCLES 2009 [Turn over *5853680123* For Examiner's Use UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/01 Paper 1 (Core) May/June 2009 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 of the marks for this paper is 40. www.XtremePapers.com

2 © UCLES 2009 0607/01/M/J/09 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 2009 0607/01/M/J/09 [Turn over For Examiner's Use Answer all the questions. 1 (a) List all six factors of 18. Answer (a) , , , , , [1] (b) Find the highest common factor of 18 and 24. Answer (b) [2] 2 (a) Work out 2 + 3 × 4. Answer (a) [1] (b) The lowest temperature in Geneva one year was −15 °C. The highest temperature the same year was 50 °C above this. What was the highest temperature? Answer (b) °C [1] (c) Gerry and Danos share $450. Danos receives 2 5 of this amount. Work out how much Danos receives. Answer (c) $ [1]

4 © UCLES 2009 0607/01/M/J/09 For Examiner's Use 3 (a) Write 5×5×5×5 as a power of 5. Answer (a) [1] (b) Simplify. 2x5 × 3x2 Answer (b) [2] 4 25 20 15 10 5 0 Bus Number of students Cycle Travel Survey Car Foot 50 students took part in a survey on how they travelled to school. What fraction of the students travelled by car? Give your answer in its lowest terms. Answer [2]

5 © UCLES 2009 0607/01/M/J/09 [Turn over For Examiner's Use 5 (a) Put a ring around the letters below that have line symmetry. [2] (b) Put a ring around the letters below that have rotational symmetry. [2] 6 (a) Factorise completely. 3p2 − 12p Answer (a) [2] (b) Expand and simplify. 3(2x + y) − 2(x − 3y) Answer (b) [2]

6 © UCLES 2009 0607/01/M/J/09 For Examiner's Use 7 Solve the simultaneous equations. x − y = 4 3x + 2y = 17 Answer x = y = [3] 8 The first four terms of a sequence are 2, 7, 12, 17. (a) Write down the next two terms of the sequence. Answer (a) , [1] (b) Find the nth term of the sequence. Answer (b) [2]

7 © UCLES 2009 0607/01/M/J/09 [Turn over For Examiner's Use 9 Describe fully the single transformation that maps triangle P onto triangle Q in each diagram below. (a) y x –3 –2 –1 1 2 3 3 2 1 –1 –2 0 P Q Answer (a) [2] (b) P y x –3 –2 –1 1 2 3 3 2 1 –1 –2 0 Q Answer (b) [2]

8 © UCLES 2009 0607/01/M/J/09 For Examiner's Use 10 The masses of a number of athletes were recorded. The results are shown in the cumulative frequency diagram. 100 90 80 70 60 50 40 30 20 10 0 70 60 80 90 100 110 120 130 Mass (kg) Cumulative frequency (a) How many masses were recorded altogether? Answer (a) [1] (b) How many athletes had a mass less than 80 kg? Answer (b) [1] (c) Find the median mass. Answer (c) kg [1]

9 © UCLES 2009 0607/01/M/J/09 [Turn over For Examiner's Use 11 Find the values of x, y and z in the diagrams below. (a) 150° x° NOT TO SCALE Answer (a) x = [1] (b) y° 70° NOT TO SCALE Answer (b) y = [2] (c) 120° 100° 150° 100° 100° z° NOT TO SCALE Answer (c) z = [2] Question 12 is on the next page

10 © UCLES 2009 0607/01/M/J/09 For Examiner's Use 12 B 15 m 50 m 10 m NOT TO SCALE D A E C The diagram shows a tower BC of height 50 m. The tower is 15 m from a flagpole DE. The flagpole is 10 m from a point A on horizontal ground. Find the height, DE, of the flagpole. Answer DE = m [3]

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. 0607/01/M/J/09 BLANK PAGE

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS International General Certificate of Secondary Education MARK SCHEME for the May/June 2009 question paper for the guidance of teachers 0607 CAMBRIDGE INTERNATIONAL MATHEMATICS 0607/01 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. • CIE will not enter into discussions or correspondence in connection with these mark schemes. CIE is publishing the mark schemes for the May/June 2009 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 2009 0607 01 © UCLES 2009 M marks are given for a correct method. A marks are given for an accurate answer following a correct method. B marks are given for a correct statement or step. D marks are given for a clear and appropriately accurate drawing. P marks are given for accurate plotting of points. E marks are given for correctly explaining or establishing a given result. Abbreviations cao correct answer only cso correct solution only ft follow through oe or equivalent soi seen or implied ww without working www without wrong working 1 (a) (b) 1, 2, 3, 6, 9, 18 6 B1 B2 If B0 then award B1 for evidence of at least three factors of 24 [3] 2 (a) (b) (c) 14 35°C 180 B1 B1 B1 [3] 3 (a) (b) 54 6x7 B1 B2 B1 for 6 B1 for x7 [3] 4 2 1 B2 B1 for 50 25 or equivalent [2] 5 (a) (b) A E N S B2 B2 Deduct one for each error Deduct one for each error [4] 6 (a) (b) 3p(p − 4) 6x + 3y – 2x + 6y 4x + 9y B2 M1 M1ft B1 for p(3p – 12) or 3(p2– 4p) Dependent on 4 terms. Not spoiled. [4] 7 2x – 2y = 8 oe or x = y + 4 oe 3x + 2y = 17 3(y + 4) + 2y = 17 5x = 25 x = 5, y = 1 x = 5, y = 1 M1 A1A1 M1 for equating coefficients or correct substitution If M0 award SC1 for evidence of elimination or substitution. [3] 8 (a) (b) 22, 27 5n – 3 B1 B2 Award B1 for 5n B1 for – 3 [3]

Page 3 Mark Scheme: Teachers’ version Syllabus Paper IGCSE – May/June 2009 0607 01 © UCLES 2009 9 (a) (b) Translation,       3 4 Reflection in x = 1 B2 B2 Award B1 for translation B1 for       3 4 or equivalent words Award B1 for reflection B1 for x = 1 or line indicated [4] 10 (a) (b) (c) 100 20 90 kg B1 B1 B1 Accept 19 [3] 11 (a) (b) (c) 30 40 150 B1 B2 B2 B1 for 180 – (2× 70) seen or implied B1 for 720 or 330 seen [5] 12 25 10 50 = x oe 25x = 500 x = 20 m M1 M1 A1 Dependent for correctly removing fractions. OR M1 for 2.5 or 0.4 or equivalent seen. M1 for multiplying OR M1 for finding angle invtan 25 50 M1 for multiplying 10× tan (angle) www 3 [3]