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A level Edexcel Maths past paper 1 2021 solutions

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Subido en
27-06-2026
Escrito en
2025/2026

This document contains questions from the 2021 A Level past paper with model answers and explanations.

Institución
Grado

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Please check the examination details below before entering your candidate information
Candidate surname Other names


Centre Number Candidate Number




Pearson Edexcel Level 3 GCE
Wednesday 6 October 2021 – Afternoon

Time 2 hours
Paper
reference 9MA0/01
Mathematics
 



Advanced
PAPER 1: Pure Mathematics 1

You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator


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 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.
• Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
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.
Try to answer every question.
• Check your answers if you have time at the end. Turn over



*P68731A0152*
P68731A
©2021 Pearson Education Ltd.

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

,1. f (x) = ax 3 + 10x 2 − 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)
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2
*P68731A0252* 

,Question 1 continued
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(Total for Question 1 is 3 marks)

3
 *P68731A0352* Turn over

, 2. Given that

f (x) = x 2 − 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)
• meets the y-axis at the point P
• has a minimum turning point at the point Q
(b) Write down
(i) the coordinates of P
(ii) the coordinates of Q
(2)
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4
*P68731A0452* 

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Subido en
27 de junio de 2026
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Escrito en
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