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EDEXCEL LEVEL 3 GCE MATHS ADVANCED PAPER 1 PURE MATHS1 2021

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EDEXCEL LEVEL 3 GCE MATHS ADVANCED PAPER 1 PURE MATHS1 2021

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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



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• 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.
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




P68731A
*
©2021 Pearson Education Ltd.

A:1/1/1/1/1/

1. f (x) = ax3 + 10x2 − 3ax − 4

Given that (x − 1) is a factor of f (x), find the value of the constant a.

You must make your method clear.
(3)




2
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3
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(Total for Question 1 is 3 marks)



2. Given
that

f (x) = x2 − 4x + 5 x∈

(a) express f (x) in the form (x + a)2 + b where a and b are integers to be
found. (2)

The curve with equation y = f (x)

4
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