Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Edexcel Level 3 GCE
Friday 15 May 2026
Afternoon Paper
reference 8FM0/25
Further Mathematics
Mark Scheme (Results)
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
Summer 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by regulations. Calculators
must not have the facility for symbolic algebra ion, differentiation and Edexcel GCE
integration, or have retrievable mathematical formulae stored in them.
Instructions Advanced Subsidiary Level
•• Use black ink or ball-point pen.
In Further Mathematics (8FM0)
• 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,
Paper 25 Further Mechanics 1
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• and
Answers without working may not gain full credit.
–2
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• –Theusemarks
total mark for this part of the examination is 40. There are 4 questions.
for each question are shown in brackets
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
P79772A
P:1/1/1/1/
Education Ltd. *P79772A0116* for more:
for more:
,1.
Edexcel and BTEC Qualifications
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
Edexcel and BTEC qualifications are awarded by the UK’s
u largest awarding body. We provide a wide rang ications
A (2m)
including academic, vocational, occupational and specific
programmes for emplo fo
qualifications websites at or .
Figure 1
Alternatively, you c
A particle A of mass 2m is at rest on a smooth horizontal floor. The particle A is contact us page at
projected along the floor with speed u towards a smooth vertical wall. The wall is fixed
on the floor and is perpendicular to the direction of motion of A, as shown in Figure 1.
The particle A collides with the wall.
The coefficient of restitution between A and the wall is e.
(a) Find, in terms of m, u and e, the magnitude of the impulse received by A in its
collision with the wall. helping people progress, everywhere
(3)
16mu 2
The kinetic energy lost by A in its collision with the wall is
25 aspires to be the world’s leading learning company. Our aim is to
(b) Find the value of e. help everyone progress in their lives through education. We believe in every
(4)
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 P79772A
_____________________________________________________________________________________ Publications Code 8FM0_25_MS_2606
_____________________________________________________________________________________ All the material in this publication is
_____________________________________________________________________________________ Education Ltd 2026
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
2
for more:
*P79772A0216*
, 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
_____________________________________________________________________________________
These notes offer general guidance, but the specific notes for examiners
_____________________________________________________________________________________ appertaining to individual questions take precedence.
_____________________________________________________________________________________
1 All candidates must receive the same treatment. Examiners must
_____________________________________________________________________________________
mark the last candidate in exactly the same way as they mark the first.
_____________________________________________________________________________________
_____________________________________________________________________________________ Where some judgement is required, mark schemes will provide the
_____________________________________________________________________________________ principles by which marks will be awarded; exemplification/indicative
content will not be exhaustive. When examiners are in doubt
_____________________________________________________________________________________ regarding the application of the mark scheme to a candidate’s
_____________________________________________________________________________________ response, the response should be sent to review.
_____________________________________________________________________________________
2 All the marks on the mark scheme are designed to be awarded; mark
_____________________________________________________________________________________ schemes should be applied positively. Examiners should also be
_____________________________________________________________________________________ prepared to award zero marks if the candidate’s response is not
_____________________________________________________________________________________ worthy of credit according to the mark scheme. If there is a wrong
answer (or no answer) indicated on the answer line always check the
_____________________________________________________________________________________ working in the body of the script (and on any diagrams), and award
_____________________________________________________________________________________ any marks appropriate from the mark scheme.
_____________________________________________________________________________________
Questions where working is not required: In general, the correct
_____________________________________________________________________________________
answer should be given full marks.
_____________________________________________________________________________________ Questions that specifically require working: In general, candidates
_____________________________________________________________________________________ who do not show working on this type of question will get no marks –
full details will be given in the mark scheme for each individual
_____________________________________________________________________________________
question.
_____________________________________________________________________________________
_____________________________________________________________________________________ 3 Crossed out work
_____________________________________________________________________________________ This should be marked unless the candidate has replaced it with an
alternative response.
_____________________________________________________________________________________
_____________________________________________________________________________________ 4 Choice of method
_____________________________________________________________________________________ If there is a choice of methods shown, mark the method that leads to
the answer given on the answer line.
_____________________________________________________________________________________
_____________________________________________________________________________________ If no answer appears on the answer line then mark both methods as
_____________________________________________________________________________________ far as they are identical and award these marks.
_____________________________________________________________________________________
5 Incorrect method
_____________________________________________________________________________________ If it is clear from the working that the “correct” answer has been
_____________________________________________________________________________________ obtained from incorrect working, award 0 marks.
_____________________________________________________________________________________
(Total for Question 1 is 7 marks)
for more:
for more:
3
*P79772A0316* Turn over
Candidate surname Other names
Centre Number Candidate Number
Edexcel Level 3 GCE
Friday 15 May 2026
Afternoon Paper
reference 8FM0/25
Further Mathematics
Mark Scheme (Results)
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
Summer 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by regulations. Calculators
must not have the facility for symbolic algebra ion, differentiation and Edexcel GCE
integration, or have retrievable mathematical formulae stored in them.
Instructions Advanced Subsidiary Level
•• Use black ink or ball-point pen.
In Further Mathematics (8FM0)
• 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,
Paper 25 Further Mechanics 1
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear.
• and
Answers without working may not gain full credit.
–2
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
give your answer to either 2 significant figures or 3 significant figures.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• –Theusemarks
total mark for this part of the examination is 40. There are 4 questions.
for each question are shown in brackets
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
P79772A
P:1/1/1/1/
Education Ltd. *P79772A0116* for more:
for more:
,1.
Edexcel and BTEC Qualifications
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
Edexcel and BTEC qualifications are awarded by the UK’s
u largest awarding body. We provide a wide rang ications
A (2m)
including academic, vocational, occupational and specific
programmes for emplo fo
qualifications websites at or .
Figure 1
Alternatively, you c
A particle A of mass 2m is at rest on a smooth horizontal floor. The particle A is contact us page at
projected along the floor with speed u towards a smooth vertical wall. The wall is fixed
on the floor and is perpendicular to the direction of motion of A, as shown in Figure 1.
The particle A collides with the wall.
The coefficient of restitution between A and the wall is e.
(a) Find, in terms of m, u and e, the magnitude of the impulse received by A in its
collision with the wall. helping people progress, everywhere
(3)
16mu 2
The kinetic energy lost by A in its collision with the wall is
25 aspires to be the world’s leading learning company. Our aim is to
(b) Find the value of e. help everyone progress in their lives through education. We believe in every
(4)
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 P79772A
_____________________________________________________________________________________ Publications Code 8FM0_25_MS_2606
_____________________________________________________________________________________ All the material in this publication is
_____________________________________________________________________________________ Education Ltd 2026
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
2
for more:
*P79772A0216*
, 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
_____________________________________________________________________________________
These notes offer general guidance, but the specific notes for examiners
_____________________________________________________________________________________ appertaining to individual questions take precedence.
_____________________________________________________________________________________
1 All candidates must receive the same treatment. Examiners must
_____________________________________________________________________________________
mark the last candidate in exactly the same way as they mark the first.
_____________________________________________________________________________________
_____________________________________________________________________________________ Where some judgement is required, mark schemes will provide the
_____________________________________________________________________________________ principles by which marks will be awarded; exemplification/indicative
content will not be exhaustive. When examiners are in doubt
_____________________________________________________________________________________ regarding the application of the mark scheme to a candidate’s
_____________________________________________________________________________________ response, the response should be sent to review.
_____________________________________________________________________________________
2 All the marks on the mark scheme are designed to be awarded; mark
_____________________________________________________________________________________ schemes should be applied positively. Examiners should also be
_____________________________________________________________________________________ prepared to award zero marks if the candidate’s response is not
_____________________________________________________________________________________ worthy of credit according to the mark scheme. If there is a wrong
answer (or no answer) indicated on the answer line always check the
_____________________________________________________________________________________ working in the body of the script (and on any diagrams), and award
_____________________________________________________________________________________ any marks appropriate from the mark scheme.
_____________________________________________________________________________________
Questions where working is not required: In general, the correct
_____________________________________________________________________________________
answer should be given full marks.
_____________________________________________________________________________________ Questions that specifically require working: In general, candidates
_____________________________________________________________________________________ who do not show working on this type of question will get no marks –
full details will be given in the mark scheme for each individual
_____________________________________________________________________________________
question.
_____________________________________________________________________________________
_____________________________________________________________________________________ 3 Crossed out work
_____________________________________________________________________________________ This should be marked unless the candidate has replaced it with an
alternative response.
_____________________________________________________________________________________
_____________________________________________________________________________________ 4 Choice of method
_____________________________________________________________________________________ If there is a choice of methods shown, mark the method that leads to
the answer given on the answer line.
_____________________________________________________________________________________
_____________________________________________________________________________________ If no answer appears on the answer line then mark both methods as
_____________________________________________________________________________________ far as they are identical and award these marks.
_____________________________________________________________________________________
5 Incorrect method
_____________________________________________________________________________________ If it is clear from the working that the “correct” answer has been
_____________________________________________________________________________________ obtained from incorrect working, award 0 marks.
_____________________________________________________________________________________
(Total for Question 1 is 7 marks)
for more:
for more:
3
*P79772A0316* Turn over
