PMT
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Tuesday 6 June 2023
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• working may not gain
be more space than you need.
You should show sufficient working to make your methods clear. Answers without
•
full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 15 questions in this question paper. The total mark for this paper is 100.
The marks each question are shown in brackets
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.
Try to answer every question.
Turn over
P72804A
©2023 Pearson Education Ltd.
N:1/1/1/1/1/
*P72804A0144*
, PMT
1. Find
1
5)
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
x 2 (2 x
dx
3
writing each term in simplest form.
(4)
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2
*P72804A0244*
, PMT
Question 1 continued
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
3
*P72804A0344* Turn over
, PMT
2. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
f(x) = 4x 3 + 5x 2 – 10x + 4a x∈
where a is a positive constant.
Given (x – a) is a factor of f(x),
(a) show that
a(4a 2 + 5a – 6) = 0
(2)
(b) Hence
(i) find the value of a
(ii) use algebra to find the exact solutions of the equation
f(x) = 3
(4)
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4
*P72804A0444*
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Tuesday 6 June 2023
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• working may not gain
be more space than you need.
You should show sufficient working to make your methods clear. Answers without
•
full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 15 questions in this question paper. The total mark for this paper is 100.
The marks each question are shown in brackets
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.
Try to answer every question.
Turn over
P72804A
©2023 Pearson Education Ltd.
N:1/1/1/1/1/
*P72804A0144*
, PMT
1. Find
1
5)
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
x 2 (2 x
dx
3
writing each term in simplest form.
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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_____________________________________________________________________________________
2
*P72804A0244*
, PMT
Question 1 continued
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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_____________________________________________________________________________________
(Total for Question 1 is 4 marks)
3
*P72804A0344* Turn over
, PMT
2. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
f(x) = 4x 3 + 5x 2 – 10x + 4a x∈
where a is a positive constant.
Given (x – a) is a factor of f(x),
(a) show that
a(4a 2 + 5a – 6) = 0
(2)
(b) Hence
(i) find the value of a
(ii) use algebra to find the exact solutions of the equation
f(x) = 3
(4)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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4
*P72804A0444*
