Surname Initial(s) Centre Paper Reference No. Candidate Signature No. 7361 02 Paper Reference(s) 7361/02 Examiner’s use only London Examinations GCE Team Leader’s use only Mathematics Syllabus B Ordinary Level Paper 2 Wednesday 7 May 2008 – Morning Time: 2 hours 30 minutes Materials required for examination Items included with question papers Nil Nil Candidates are expected to have an electronic calculator when answering this paper. Instructions to Candidates In the boxes above, write your centre number, candidate number, your surname, initials and signature. Check that you have the correct question paper. Answer ALL the questions. Write your answers in the spaces provided in this question paper. If you need more space to complete your answer to any question, use additional answer sheets. Information for Candidates The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2). Full marks may be obtained for answers to ALL questions. There are 11 questions in this question paper. The total mark for this paper is 100. There are 24 pages in this question paper. Any blank pages are indicated. Advice to Candidates Write your answers neatly and legibly. This publication may be reproduced only in accordance with Edexcel Limited copyright policy. ©2008 Edexcel Limited. Turn over Printer’s Log. No. N31065A W850/U7361/57570 4/4/5/3 *N31065A0124* Lots more free papers at www.bland.in Leave blank 1. Solve the simultaneous equations 2x + 3y = 3, 6x – 12y = –5. (4) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ Q1 ___________________________________________________________________________ Lots more free papers at www.bland.in (Total 4 marks) 2 *N31065A0224* Leave blank 2. Simone travelled 205 km by train from Lisbon to Coimbra. She left Lisbon at 09 30 and arrived in Coimbra at 12 00. (a) Calculate the average speed, in km/h, for this journey. (2) Simone then caught a train to Oporto. The train left Coimbra at 13 20 and travelled at an average speed of 75 km/h. The distance between Coimbra and Oporto is 125 km. (b) Calculate the time at which Simone arrived in Oporto. (2) The following day Simone flew by plane from Oporto to Lisbon at an average speed of 465 km/h. The total flying time was 40 minutes. (c) Calculate the distance, in km, that Simone travelled by plane. (2) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ Q2 Lots more free papers at www.bland.in (Total 6 marks) 3 *N31065A0324* Turn over Leave blank 3. (a) Given that (x + 2) is a factor of 5x3 + 6x2 + kx –2, find the value of k. (2) (b) Using your value of k, factorise completely 5x3 + 6x2 + kx –2. (4) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ Q3 ___________________________________________________________________________ Lots more free papers at www.bland.in (Total 6 marks) 4 *N31065A0424* Leave blank 4. (a) Expand (2x – 5)(3x2 + 7). (1) dy (b) Given that y = (2x – 5)(3x2 + 7), find . dx (2) dy (c) Find the values of x for which = 26. dx (4) ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________ ___________________________________________________________________________