2022 PEARSON EDEXEL LEVEL 3 GCE Mathematics Advanced Paper 2: Pure Mathematics 2
2022 PEARSON EDEXEL LEVEL 3 GCE Mathematics Advanced Paper 2: Pure Mathematics 2 ALL SOLVED 1 3 2 0 2 AGUFSOPPO (Time: 2 hours) Paper Reference 9MA0/02 Mathematics Advanced Paper 2: Pure Mathematics 2 Candidates may use any calculator allowed 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 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. Inexact answers should be given to three significant figures unless otherwise stated. I•nformation A booklet ‘Mathematical Formulae and Statistical Tables’ is provided. • – There are 15 questions in this question paper. The total mark for this paper is 100. 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. • Check your answers if you have time at the end. Turn over 1. A sequence is defined by u1 = 6 un+1 = kun + 3 where k is a positive constant. (a) Find, in terms of k, an expression for u3 3 (2) Given that un n 1 = 117 (3) (b) find the value of k. 2 2. Given that a is a positive constant and f(x) 3x a , x R (a) sketch the graph with equation y = f ( x ), showing the coordinates of the points where the graph cuts or meets the coordinate axes. Given that x = 4 is a solution to the equation (b) find the two possible values of a. 3x a 1 x 2 2 (2) (3) For one of the values of a, x = 4 is the smaller of the two solutions. For this value of a, (c) find the value of the larger solution. (2) 3. Let f(x) = 2x3 + 3x. Use differentiation from first principles to show that f l(x) = 6x2 + 3. (6)
Escuela, estudio y materia
- Institución
- 2022 PEARSON EDEXEL LEVEL 3 GCE Mathematics Advan
- Grado
- 2022 PEARSON EDEXEL LEVEL 3 GCE Mathematics Advan
Información del documento
- Subido en
- 11 de enero de 2023
- Número de páginas
- 52
- Escrito en
- 2022/2023
- Tipo
- Examen
- Contiene
- Preguntas y respuestas
Temas
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2022
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2022 pearson edexel level 3 gce mathematics advanced paper 2 pure mathematics 2
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2022 pearson edexel level 3 gce mathematics advanced paper 2
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2022 pearson edexel level 3 gce mathematics advanced
