A-level FURTHER MATHEMATICS Paper 2 Monday 3 June 2024 Afternoon Time allowed: 2 hours Materials l You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics. l You should have a graphical or scientific calculator that meets the requirements of the specification. Instructions l Use black ink or black ball‑point pen. Pencil should only be used for drawing. l Fill in the boxes at the top of this page. l Answer all questions. l You must answer each question in the space provided for that question. If you require extra space for your answer(s), use the lined pages at the end of this book. Write the question number against your answer(s). l Do not write outside the box around each page or on blank pages. l Show all necessary working; otherwise marks for method may be lost. l Do all rough work in this book. Cross through any work that you do not want to be marked. Information l The marks for questions are shown in brackets. l The maximum mark for this paper is 100. Advice l Unless stated otherwise, you may quote formulae, without proof, from the booklet. l You do not necessarily need to use all the space provided. For Examiner’s Use Question Mark 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 TOTAL Please write clearly in block capitals. Centre number Candidate number Surname _________________________________________________________________________ Forename(s) _________________________________________________________________________ Candidate signature _________________________________________________________________________ I declare this is my own work. 2 Do not write outside the box (02) G/Jun24/7367/2 Answer all questions in the spaces provided. 1 It is given that 2 1 3 5 λ –6 = 0 where λ is a constant. Find the value of λ Circle your answer. [1 mark] –28 –8 8 28 2 The movement of a particle is described by the simple harmonic equation x .. = –25x where x metres is the displacement of the particle at time t seconds, and x .. m s–2 is the acceleration of the particle. The maximum displacement of the particle is 9 metres. Find the maximum speed of the particle. Circle your answer. [1 mark] 15 m s–1 45 m s–1 75 m s–1 135 m s–1 3 Do not write outside the box (03) G/Jun24/7367/2 Turn over U 3 The function g is defined by g(x) = sech x (x ∈ ℝ) Which one of the following is the range of g? Tick () one box. [1 mark] –∞ < g xss=removed xss=removed>