Edexcel as level further mathematics question paper 25 may 2023

Please check the examination details below before entering your candidate information Paper reference   Afternoon Friday 19 May 2023 Pearson Edexcel Level 3 GCE P72811A ©2023 Pearson Education Ltd. N:1/1/1/1/ Candidates may use any calculator permitted by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • Use black ink or ball-point pen. • If pencil is used for diagrams/sketches/graphs it must be dark (HB or B). • Fill in the boxes at the top of this page with your name, centre number and candidate number. • Answer all questions and ensure that your answers to parts of questions are clearly labelled. • Answer the questions in the spaces provided – there may be more space than you need. • You should show sufficient working to make your methods clear. Answers without working may not gain full credit. • Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s–2 and give your answer to either 2 significant figures or 3 significant figures. Information • A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • The total mark for this part of the examination is 40. There are 4 questions. • The marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question. Advice • Read each question carefully before you start to answer it. • Try to answer every question. • Check your answers if you have time at the end. You must have: Mathematical Formulae and Statistical Tables (Green), calculator 8FM0/25 Further Mathematics Advanced Subsidiary Further Mathematics options 25: Further Mechanics 1 (Part of options C, E, H and J)2 *P72811A0216*  1. Two particles, P and Q, of masses 3m and 2m respectively, are moving on a smooth horizontal plane. They are moving in opposite directions along the same straight line when they collide directly. Immediately before the collision, P is moving with speed 2u. The magnitude of the impulse exerted on P by Q in the collision is 9 2 mu (a) Find the speed of P immediately after the collision. (3) The coefficient of restitution between P and Q is e. Given that the speed of Q immediately before the collision is u, (b) find the value of e. (5) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ *P72811A0316* Turn over 3 Question 1 continued