Pearson Edexcel International Advanced Level
Thursday 21 May 2026
Afternoon (Time: 1 hour 30 minutes)
Paper
reference WFM01/01A
Mathematics
Mark Scheme (Results)
International Advanced Subsidiary/Advanced Level
Further Pure Mathematics F1
Question Paper
You must have:
Answer book (sent separately).
Do not return the question paper with the answer book.
Summer 2026
Pearson Edexcel International Advanced Level
In Further Pure Mathematics F1 (WFM01) Paper 01A
Turn over
P81399APearson Education Ltd.
P:1/1/1/1/1/
*P81399A*
,1. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable. Edexcel and BTEC Qualifications
3 2
f (z) = 4z – 5z + 14z + 15
Given that 1 – 2i is a root of the equation f (z) = 0 , determine the other two roots of
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
the equation f (z) = 0
(5) largest awarding body. We provide a wide range of qualifications
including academic, vocational, occupational and specific
(Total for Question 1 is 5 marks)
programmes for employers. For further information visit our
qualifications websites at or .
2. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable. Alternatively, you can get in touch with us using the details on our
contact us page at
The rectangular hyperbola H has parametric equations
6
x = 6t y= t≠0
t
The line l has equation x – 3y + 3 = 0 Pearson: helping people progress, everywhere
(a) Determine the coordinates of the points of intersection of H and l Pearson aspires to be the world’s leading learning company. Our aim is to
(3) help everyone progress in their lives through education. We believe in every
Given that 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
• H and l intersect at the point P where x < 0
70 countries, in 100 languages, we have built an international reputation for
• the tangent to H at P intersects the x‑axis at the point Q our commitment to high standards and raising achievement through
(b) determine the x coordinate of Q innovation in education. Find out more about how we can help you and your
(3) students at:
(Total for Question 2 is 6 marks)
Summer 2026
Question Paper Log Number P81399A
Publication Code WFM01_01A_2606_MS
All the material in this publication is
Pearson Education Ltd
2 P81399A
, General Marking Guidance
3. • All candidates must receive the same treatment. Examiners must mark the first
5k k
3 candidate in exactly the same way as they mark the last.
A
k
2 k
1 • Mark schemes should be applied positively. Candidates must be rewarded for
what they have shown they can do rather than penalised for omissions.
where k is a constant.
• Examiners should mark according to the mark scheme not according to their
Given that det A = 5 perception of where the grade boundaries may lie.
(a) determine the value of k • There is no ceiling on achievement. All marks on the mark scheme should be used
(3) appropriately.
–1 1 a b
• All the marks on the mark scheme are designed to be awarded. Examiners
(b) Hence determine A , giving your answer in the form
10
c d should always award full marks if deserved, i.e. if the answer matches the mark
where a, b, c and d are integers to be found. scheme. Examiners should also be prepared to award zero marks if the
(2)
candidate’s response is not worthy of credit according to the mark scheme.
The transformation represented by A transforms the square S onto the square S ʹ • Where some judgement is required, mark schemes will provide the principles by
Given that the sides of S have length 1.3 which marks will be awarded and exemplification may be limited.
• When examiners are in doubt regarding the application of the mark scheme to a
determine the area of S ʹ
candidate’s response, the team leader must be consulted.
(1)
• Crossed out work should be marked UNLESS the candidate has replaced it with
The diagonals of S ʹ intersect at the point (–8, 6) an alternative response.
(d) Determine, in simplest form, the coordinates of the point where the diagonals
of S intersect.
(2)
(Total for Question 3 is 8 marks)
4. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
3 3 1
f (x) = x 6 x
x > 0
2 x
(a) Determine f ʹ (x)
(2)
The equation f (x) = 0 has a root α in the interval [0.25, 0.35]
(b) Using 0.25 as a first approximation to α, apply the Newton–Raphson process
once to f (x) to determine a second approximation to α, giving your answer to
3 decimal places.
(2)
The equation f (x) = 0 has a root β in the interval [1.65, 1.7]
Use linear interpolation once on the interval [1.65, 1.7] to determine an
approximation to β, giving your answer to 3 decimal places.
(3)
(Total for Question 4 is 7 marks)
P81399A 3
Turn over
, General Instructions for Marking
5. The complex numbers z and w satisfy the simultaneous equations 1. The total number of marks for the paper is 75.
3z + iw = –1 + i
2. The Edexcel Mathematics mark schemes use the following types of marks:
kz – w = –9i
• M marks: Method marks are awarded for ‘knowing a method and attempting to
where k is a real constant. apply it’, unless otherwise indicated.
(a) Show that • A marks: Accuracy marks can only be awarded if the relevant method (M) marks
have been earned.
24 k
3
8k
i
z= • B marks are unconditional accuracy marks (independent of M marks)
9 k2
(3) Marks should not be subdivided.
Given that k = 2 3. Abbreviations
(b) show that w = 4 + 7i
(2) These are some of the traditional marking abbreviations that will appear in the mark
schemes and can be used if you are using the annotation facility on ePEN:
Hence determine, in simplest form, the exact value of
• bod – benefit of doubt
w
(i) • ft – follow through
z
o the symbol will be used for correct ft
(ii) arg (z + w) • cao – correct answer only
(3)
• cso – correct solution only. There must be no errors in this part of the question to
(Total for Question 5 is 8 marks) obtain this mark
• isw – ignore subsequent working
• awrt – answers which round to
• SC – special case
• oe – or equivalent (and appropriate)
• d… or dep – dependent
• indep – independent
• dp – decimal places
• sf – significant figures
• – The answer is printed on the paper or ag- answer given
• or d… – The second mark is dependent on gaining the first mark
4. All A marks are ‘correct answer only’ (cao), unless shown, for example, as A1 ft to
indicate that previous wrong working is to be followed through. After a misread
however, the subsequent A marks affected are treated as A ft, but manifestly absurd
answers should never be awarded A marks.
4 P81399A
Thursday 21 May 2026
Afternoon (Time: 1 hour 30 minutes)
Paper
reference WFM01/01A
Mathematics
Mark Scheme (Results)
International Advanced Subsidiary/Advanced Level
Further Pure Mathematics F1
Question Paper
You must have:
Answer book (sent separately).
Do not return the question paper with the answer book.
Summer 2026
Pearson Edexcel International Advanced Level
In Further Pure Mathematics F1 (WFM01) Paper 01A
Turn over
P81399APearson Education Ltd.
P:1/1/1/1/1/
*P81399A*
,1. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable. Edexcel and BTEC Qualifications
3 2
f (z) = 4z – 5z + 14z + 15
Given that 1 – 2i is a root of the equation f (z) = 0 , determine the other two roots of
Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
the equation f (z) = 0
(5) largest awarding body. We provide a wide range of qualifications
including academic, vocational, occupational and specific
(Total for Question 1 is 5 marks)
programmes for employers. For further information visit our
qualifications websites at or .
2. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable. Alternatively, you can get in touch with us using the details on our
contact us page at
The rectangular hyperbola H has parametric equations
6
x = 6t y= t≠0
t
The line l has equation x – 3y + 3 = 0 Pearson: helping people progress, everywhere
(a) Determine the coordinates of the points of intersection of H and l Pearson aspires to be the world’s leading learning company. Our aim is to
(3) help everyone progress in their lives through education. We believe in every
Given that 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
• H and l intersect at the point P where x < 0
70 countries, in 100 languages, we have built an international reputation for
• the tangent to H at P intersects the x‑axis at the point Q our commitment to high standards and raising achievement through
(b) determine the x coordinate of Q innovation in education. Find out more about how we can help you and your
(3) students at:
(Total for Question 2 is 6 marks)
Summer 2026
Question Paper Log Number P81399A
Publication Code WFM01_01A_2606_MS
All the material in this publication is
Pearson Education Ltd
2 P81399A
, General Marking Guidance
3. • All candidates must receive the same treatment. Examiners must mark the first
5k k
3 candidate in exactly the same way as they mark the last.
A
k
2 k
1 • Mark schemes should be applied positively. Candidates must be rewarded for
what they have shown they can do rather than penalised for omissions.
where k is a constant.
• Examiners should mark according to the mark scheme not according to their
Given that det A = 5 perception of where the grade boundaries may lie.
(a) determine the value of k • There is no ceiling on achievement. All marks on the mark scheme should be used
(3) appropriately.
–1 1 a b
• All the marks on the mark scheme are designed to be awarded. Examiners
(b) Hence determine A , giving your answer in the form
10
c d should always award full marks if deserved, i.e. if the answer matches the mark
where a, b, c and d are integers to be found. scheme. Examiners should also be prepared to award zero marks if the
(2)
candidate’s response is not worthy of credit according to the mark scheme.
The transformation represented by A transforms the square S onto the square S ʹ • Where some judgement is required, mark schemes will provide the principles by
Given that the sides of S have length 1.3 which marks will be awarded and exemplification may be limited.
• When examiners are in doubt regarding the application of the mark scheme to a
determine the area of S ʹ
candidate’s response, the team leader must be consulted.
(1)
• Crossed out work should be marked UNLESS the candidate has replaced it with
The diagonals of S ʹ intersect at the point (–8, 6) an alternative response.
(d) Determine, in simplest form, the coordinates of the point where the diagonals
of S intersect.
(2)
(Total for Question 3 is 8 marks)
4. In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
3 3 1
f (x) = x 6 x
x > 0
2 x
(a) Determine f ʹ (x)
(2)
The equation f (x) = 0 has a root α in the interval [0.25, 0.35]
(b) Using 0.25 as a first approximation to α, apply the Newton–Raphson process
once to f (x) to determine a second approximation to α, giving your answer to
3 decimal places.
(2)
The equation f (x) = 0 has a root β in the interval [1.65, 1.7]
Use linear interpolation once on the interval [1.65, 1.7] to determine an
approximation to β, giving your answer to 3 decimal places.
(3)
(Total for Question 4 is 7 marks)
P81399A 3
Turn over
, General Instructions for Marking
5. The complex numbers z and w satisfy the simultaneous equations 1. The total number of marks for the paper is 75.
3z + iw = –1 + i
2. The Edexcel Mathematics mark schemes use the following types of marks:
kz – w = –9i
• M marks: Method marks are awarded for ‘knowing a method and attempting to
where k is a real constant. apply it’, unless otherwise indicated.
(a) Show that • A marks: Accuracy marks can only be awarded if the relevant method (M) marks
have been earned.
24 k
3
8k
i
z= • B marks are unconditional accuracy marks (independent of M marks)
9 k2
(3) Marks should not be subdivided.
Given that k = 2 3. Abbreviations
(b) show that w = 4 + 7i
(2) These are some of the traditional marking abbreviations that will appear in the mark
schemes and can be used if you are using the annotation facility on ePEN:
Hence determine, in simplest form, the exact value of
• bod – benefit of doubt
w
(i) • ft – follow through
z
o the symbol will be used for correct ft
(ii) arg (z + w) • cao – correct answer only
(3)
• cso – correct solution only. There must be no errors in this part of the question to
(Total for Question 5 is 8 marks) obtain this mark
• isw – ignore subsequent working
• awrt – answers which round to
• SC – special case
• oe – or equivalent (and appropriate)
• d… or dep – dependent
• indep – independent
• dp – decimal places
• sf – significant figures
• – The answer is printed on the paper or ag- answer given
• or d… – The second mark is dependent on gaining the first mark
4. All A marks are ‘correct answer only’ (cao), unless shown, for example, as A1 ft to
indicate that previous wrong working is to be followed through. After a misread
however, the subsequent A marks affected are treated as A ft, but manifestly absurd
answers should never be awarded A marks.
4 P81399A
