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Pearson Edexcel Level 3 GCE October 2021 Mathematics advanced Paper 2: Pure mathematics 2 Question paper

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Pearson Edexcel Level 3 GCE October 2021 Mathematics advanced Paper 2: Pure mathematics 2 question paper

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 




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 If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).Fill
in the boxescentre number and candidate number.black ink or ball-point pen. at the top of
this page with your name,




• Answer are clearly labelled.all questions and ensure that your answers to parts of
questions



• Answer the questions in the spaces provided – there may be more space than you need.
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• 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.
Information




••• 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 – use this as a guide as to how
much time to spend on each questioneach question are shown in brackets .


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. Turn over




P68732A
*P68732A0148*
©2021 Pearson Education Ltd.

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1. In an arithmetic series

• the first term is 16
• the 21st term is 24

(a) Find the common difference of the series.
(2)

(b) Hence find the sum of the first 500 terms of the series.
(2)
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Question 1 continued
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(Total for Question 1 is 4 marks)
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2. The functions f and g are defined by

f (x) = 7 – 2x2 xÎ

3x
g (x) = xÎ x
5x −1 5
(a) State the range of f

4
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