Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Monday 12 January 2026 Mark Scheme (Final)
Morning (Time: 1 hour 30 minutes) Paper
reference WFM01/01
Mathematics
International Advanced Subsidiary/ Advanced Level
Further Pure Mathematics F1
January 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Pearson Edexcel International Advanced Level in Pure
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and Mathematics
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
WFM01/01
•
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
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 10 questions in this question paper. The total mark for this paper is 75.
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.
If you change your mind about an answer, cross it out and put your new answer and any
working underneath.
Turn over
P78907APearson Education Ltd.
C:1/1/1/
*P78907A0128*
, Edexcel and BTEC Qualifications
1
1. f x
3 x
5 x0
x
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The equation f x
0 has a root α in the interval [3, 3.8] Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest
(a) Starting with the end points of this interval, use interval bisection to determine α to awarding body. We provide a wide range of qualifications including academic,
one decimal place. vocational, occupational and specific programmes for employers. For further
(4) information visit our qualifications websites at or
.
(b) (i) Determine f
x
(2) Alternatively, you can get in touch with us using the details on our contact us
page at
(ii) Using your answer to part (a) as a first approximation to α, apply the
Newton-Raphson process once to calculate a further approximation for α ,
giving your answer to 4 decimal places.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________ Pearson: helping people progress, everywhere
_____________________________________________________________________________________
_____________________________________________________________________________________ Pearson aspires to be the world’s leading learning company. Our aim is to help
everyone progress in their lives through education. We believe in every kind of
_____________________________________________________________________________________
learning, for all kinds of people, wherever they are in the world. We’ve been involved
_____________________________________________________________________________________ in education for over 150 years, and by working across 70 countries, in 100 languages,
_____________________________________________________________________________________ we have built an international reputation for our commitment to high standards and
_____________________________________________________________________________________ raising achievement through innovation in education. Find out more about how we can
help you and your students at:
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Janaury 2026
_____________________________________________________________________________________ Question Paper Log Number P78907A
_____________________________________________________________________________________ Publication Code WFM01_01_2601_MS
All the material in this publication is
_____________________________________________________________________________________ Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P78907A0228*
, General Marking Guidance
Question 1 continued
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the first candidate
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________ in exactly the same way as they mark the last.
_____________________________________________________________________________________ • Mark schemes should be applied positively. Candidates must be rewarded for what they
_____________________________________________________________________________________ have shown they can do rather than penalised for omissions.
_____________________________________________________________________________________ • Examiners should mark according to the mark scheme not according to their perception of
where the grade boundaries may lie.
_____________________________________________________________________________________
• There is no ceiling on achievement. All marks on the mark scheme should be used
_____________________________________________________________________________________
appropriately.
_____________________________________________________________________________________
• All the marks on the mark scheme are designed to be awarded. Examiners should always
_____________________________________________________________________________________
award full marks if deserved, i.e. if the answer matches the mark scheme. Examiners
_____________________________________________________________________________________
should also be prepared to award zero marks if the candidate’s response is not worthy of
_____________________________________________________________________________________
credit according to the mark scheme.
_____________________________________________________________________________________
• Where some judgement is required, mark schemes will provide the principles by which
_____________________________________________________________________________________
marks will be awarded and exemplification may be limited.
_____________________________________________________________________________________
• When examiners are in doubt regarding the application of the mark scheme to a
_____________________________________________________________________________________
candidate’s response, the team leader must be consulted.
_____________________________________________________________________________________
• Crossed out work should be marked UNLESS the candidate has replaced it with an
_____________________________________________________________________________________ alternative response.
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 8 marks)
3
*P78907A0328* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Monday 12 January 2026 Mark Scheme (Final)
Morning (Time: 1 hour 30 minutes) Paper
reference WFM01/01
Mathematics
International Advanced Subsidiary/ Advanced Level
Further Pure Mathematics F1
January 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Pearson Edexcel International Advanced Level in Pure
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and Mathematics
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
WFM01/01
•
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
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 10 questions in this question paper. The total mark for this paper is 75.
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.
If you change your mind about an answer, cross it out and put your new answer and any
working underneath.
Turn over
P78907APearson Education Ltd.
C:1/1/1/
*P78907A0128*
, Edexcel and BTEC Qualifications
1
1. f x
3 x
5 x0
x
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The equation f x
0 has a root α in the interval [3, 3.8] Edexcel and BTEC qualifications are awarded by Pearson, the UK’s largest
(a) Starting with the end points of this interval, use interval bisection to determine α to awarding body. We provide a wide range of qualifications including academic,
one decimal place. vocational, occupational and specific programmes for employers. For further
(4) information visit our qualifications websites at or
.
(b) (i) Determine f
x
(2) Alternatively, you can get in touch with us using the details on our contact us
page at
(ii) Using your answer to part (a) as a first approximation to α, apply the
Newton-Raphson process once to calculate a further approximation for α ,
giving your answer to 4 decimal places.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________ Pearson: helping people progress, everywhere
_____________________________________________________________________________________
_____________________________________________________________________________________ Pearson aspires to be the world’s leading learning company. Our aim is to help
everyone progress in their lives through education. We believe in every kind of
_____________________________________________________________________________________
learning, for all kinds of people, wherever they are in the world. We’ve been involved
_____________________________________________________________________________________ in education for over 150 years, and by working across 70 countries, in 100 languages,
_____________________________________________________________________________________ we have built an international reputation for our commitment to high standards and
_____________________________________________________________________________________ raising achievement through innovation in education. Find out more about how we can
help you and your students at:
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Janaury 2026
_____________________________________________________________________________________ Question Paper Log Number P78907A
_____________________________________________________________________________________ Publication Code WFM01_01_2601_MS
All the material in this publication is
_____________________________________________________________________________________ Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P78907A0228*
, General Marking Guidance
Question 1 continued
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the first candidate
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________ in exactly the same way as they mark the last.
_____________________________________________________________________________________ • Mark schemes should be applied positively. Candidates must be rewarded for what they
_____________________________________________________________________________________ have shown they can do rather than penalised for omissions.
_____________________________________________________________________________________ • Examiners should mark according to the mark scheme not according to their perception of
where the grade boundaries may lie.
_____________________________________________________________________________________
• There is no ceiling on achievement. All marks on the mark scheme should be used
_____________________________________________________________________________________
appropriately.
_____________________________________________________________________________________
• All the marks on the mark scheme are designed to be awarded. Examiners should always
_____________________________________________________________________________________
award full marks if deserved, i.e. if the answer matches the mark scheme. Examiners
_____________________________________________________________________________________
should also be prepared to award zero marks if the candidate’s response is not worthy of
_____________________________________________________________________________________
credit according to the mark scheme.
_____________________________________________________________________________________
• Where some judgement is required, mark schemes will provide the principles by which
_____________________________________________________________________________________
marks will be awarded and exemplification may be limited.
_____________________________________________________________________________________
• When examiners are in doubt regarding the application of the mark scheme to a
_____________________________________________________________________________________
candidate’s response, the team leader must be consulted.
_____________________________________________________________________________________
• Crossed out work should be marked UNLESS the candidate has replaced it with an
_____________________________________________________________________________________ alternative response.
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 8 marks)
3
*P78907A0328* Turn over
