Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 22 June 2026
Mark Scheme (Results)
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4A
Further Mathematics
Summer 2026
Advanced
PAPER 4A: Further Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistics Tables (Green), calculator
Pearson Edexcel GCE
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and In Further Mathematics (9FM0)
integration, or have retrievable mathematical formulae stored in them.
Instructions Paper 4A Further Pure Mathematics 2
•• 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.
•Information
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 8 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.
•
Check your answers if you have time at the end.
Try to answer every question.
Turn over
P79399A
P:1/1/
Pearson Education Ltd. *P79399A0128* for more:
for more:
, Edexcel and BTEC Qualifications
1. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.
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 curve C has equation y = f ( x) where
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
largest awarding body. We provide a wide range of qualifications
3
1
f ( x) 3
x 2 1 x 4
3 including academic, vocational, occupational and specific
programmes for employers. For further information visit our
Use algebraic integration to show that the length of C is qualifications websites at or .
a 2 +b 5 Alternatively, you can get in touch with us using the details on our
contact us page at
where a and b are simplified rational constants to be determined.
(6)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ 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:
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P79399A
Publication Code 9FM0_4A_2606_MS
_____________________________________________________________________________________
All the material in this publication is
_____________________________________________________________________________________ Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ for more:
2
for more:
*P79399A0228*
, Question 1 continued General Marking Guidance
_____________________________________________________________________________________
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
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the
_____________________________________________________________________________________ first candidate 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 6 marks)
for more:
for more:
3
*P79399A0328* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 22 June 2026
Mark Scheme (Results)
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4A
Further Mathematics
Summer 2026
Advanced
PAPER 4A: Further Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistics Tables (Green), calculator
Pearson Edexcel GCE
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation and In Further Mathematics (9FM0)
integration, or have retrievable mathematical formulae stored in them.
Instructions Paper 4A Further Pure Mathematics 2
•• 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.
•Information
Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 8 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.
•
Check your answers if you have time at the end.
Try to answer every question.
Turn over
P79399A
P:1/1/
Pearson Education Ltd. *P79399A0128* for more:
for more:
, Edexcel and BTEC Qualifications
1. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.
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 curve C has equation y = f ( x) where
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
largest awarding body. We provide a wide range of qualifications
3
1
f ( x) 3
x 2 1 x 4
3 including academic, vocational, occupational and specific
programmes for employers. For further information visit our
Use algebraic integration to show that the length of C is qualifications websites at or .
a 2 +b 5 Alternatively, you can get in touch with us using the details on our
contact us page at
where a and b are simplified rational constants to be determined.
(6)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ 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:
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P79399A
Publication Code 9FM0_4A_2606_MS
_____________________________________________________________________________________
All the material in this publication is
_____________________________________________________________________________________ Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________ for more:
2
for more:
*P79399A0228*
, Question 1 continued General Marking Guidance
_____________________________________________________________________________________
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
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the
_____________________________________________________________________________________ first candidate 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 6 marks)
for more:
for more:
3
*P79399A0328* Turn over
