Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 12 June 2026
Mark Scheme (Results)
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3B
Further Mathematics
Advanced
PAPER 3B: Further Statistics 1 Summer 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
Pearson Edexcel GCE
differentiation and integration, or have retrievable mathematical formulae
stored in them. In Further Mathematics (9FM0)
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Paper 3B Further Statistics
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Values from statistical tables should be quoted in full. If a calculator is used instead of
the tables the value should be given to an equivalent degree of accuracy.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 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. Turn over
P75687RA
Pearson Education Ltd.
P:1/1/1/1/
*P75687RA0128* for more:
for more:
, Edexcel and BTEC Qualifications
1. In a study, the type of foot arch of 400 athletes and their level of pronation (the amount
that the foot rolls inwards toward the arch) when running are recorded.
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 results are summarised in the table below. Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
largest awarding body. We provide a wide range of qualifications
including academic, vocational, occupational and specific
Type of foot arch programmes for employers. For further information visit our
Observed frequencies
qualifications websites at or .
Low Neutral High Total
Alternatively, you can get in touch with us using the details on our
Under contact us page at
Level of
Normal
pronation
Over
Total
Pearson: helping people progress, everywhere
A podiatrist, Diogo, believes that there is an association between the type of foot arch
Pearson aspires to be the world’s leading learning company. Our aim is to help
and the level of pronation when running.
everyone progress in their lives through education. We believe in every kind of
Diogo decides to carry out a chi‑squared test to investigate this. learning, for all kinds of people, wherever they are in the world. We’ve been involved in
The lowest individual expected frequency is 35.75 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
(a) Calculate the expected frequencies for raising achievement through innovation in education. Find out more about how we
(i) Low and Over can help you and your students at:
(ii) Neutral and Normal
(2)
The value of
(O E ) 2
E
for the other seven classes is 6.314 to 3 decimal places.
(b) Carry out a suitable test, at the 5% significance level, to determine whether or not
there is sufficient evidence to support Diogo’s belief.
You should state your hypotheses, test statistic, critical value and conclusion clearly.
(6)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P75687A
_____________________________________________________________________________________ Publication Code 9FM0_3B_2606_MS
All the material in this publication is
_____________________________________________________________________________________
Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
2
for more:
*P75687RA0228*
, General Marking Guidance
Question 1 continued
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the first
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
_____________________________________________________________________________________ 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.
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
for more:
3
*P75687RA0328* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 12 June 2026
Mark Scheme (Results)
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/3B
Further Mathematics
Advanced
PAPER 3B: Further Statistics 1 Summer 2026
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
Pearson Edexcel GCE
differentiation and integration, or have retrievable mathematical formulae
stored in them. In Further Mathematics (9FM0)
Instructions
•• Use black ink or ball-point pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Paper 3B Further Statistics
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• clearly
Answer all questions and ensure that your answers to parts of questions are
labelled.
• – there may
Answer the questions in the spaces provided
be more space than you need.
• You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
• Values from statistical tables should be quoted in full. If a calculator is used instead of
the tables the value should be given to an equivalent degree of accuracy.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 7 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. Turn over
P75687RA
Pearson Education Ltd.
P:1/1/1/1/
*P75687RA0128* for more:
for more:
, Edexcel and BTEC Qualifications
1. In a study, the type of foot arch of 400 athletes and their level of pronation (the amount
that the foot rolls inwards toward the arch) when running are recorded.
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 results are summarised in the table below. Edexcel and BTEC qualifications are awarded by Pearson, the UK’s
largest awarding body. We provide a wide range of qualifications
including academic, vocational, occupational and specific
Type of foot arch programmes for employers. For further information visit our
Observed frequencies
qualifications websites at or .
Low Neutral High Total
Alternatively, you can get in touch with us using the details on our
Under contact us page at
Level of
Normal
pronation
Over
Total
Pearson: helping people progress, everywhere
A podiatrist, Diogo, believes that there is an association between the type of foot arch
Pearson aspires to be the world’s leading learning company. Our aim is to help
and the level of pronation when running.
everyone progress in their lives through education. We believe in every kind of
Diogo decides to carry out a chi‑squared test to investigate this. learning, for all kinds of people, wherever they are in the world. We’ve been involved in
The lowest individual expected frequency is 35.75 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
(a) Calculate the expected frequencies for raising achievement through innovation in education. Find out more about how we
(i) Low and Over can help you and your students at:
(ii) Neutral and Normal
(2)
The value of
(O E ) 2
E
for the other seven classes is 6.314 to 3 decimal places.
(b) Carry out a suitable test, at the 5% significance level, to determine whether or not
there is sufficient evidence to support Diogo’s belief.
You should state your hypotheses, test statistic, critical value and conclusion clearly.
(6)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P75687A
_____________________________________________________________________________________ Publication Code 9FM0_3B_2606_MS
All the material in this publication is
_____________________________________________________________________________________
Pearson Education Ltd
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
2
for more:
*P75687RA0228*
, General Marking Guidance
Question 1 continued
_____________________________________________________________________________________ • All candidates must receive the same treatment. Examiners must mark the first
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
_____________________________________________________________________________________ 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.
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
for more:
for more:
3
*P75687RA0328* Turn over
