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 8FM0/23
Further Mathematics
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G) Mark Scheme (Results)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by regulations. Calculators
Summer 2026
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• 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, Edexcel GCE
••
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled. Advanced Subsidiary Level
Answer the questions in the spaces provided
In Further Mathematics (8FM0)
•
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Paper 23 Further Statistics 1
•
Answers without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 3 questions.
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
P79982A
P:1/1/1/1/
Education Ltd. *P79982A0112* for more:
for more:
, 1. Phil serves drinks for international students at a weekly event.
Edexcel and BTEC Qualifications
Phil collected the following data for a week in spring.
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
Drinks
Hot chocolate Coffee Tea Squash Total Edexcel and BTEC qualifications are awarded by the UK’s
Home country
largest awarding body. We provide a wide range of qualifications
China 48 3 14 5 70 including academic, vocational, occupational and specific
programmes for employers. For further information visit our
India 13 6 17 7 43
qualifications websites at or .
Other 8 12 5 12 37 Alternatively, you can get in touch with us using the details on our
contact us page at
Total
Phil believes that there is an association between the choice of drink and the home
country and uses these data in a suitable test to assess this belief.
(a) Write down suitable hypotheses for this test.
helping people progress, everywhere
(1)
Phil says that because the frequency for “China and Coffee” is less than 5, some rows or aspires to be the world’s leading learning company. Our aim is to help
columns will need to be combined. everyone progress in their lives through education. We believe in every kind of
(b) State, giving your reasons, why Phil’s statement is not correct. learning, for all kinds of people, wherever they are in the world. We’ve been
(2) 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
Show that, for this test, the expected frequency for “China and Hot chocolate”
is 32.2 high standards and raising achievement through innovation in education. Find
(1) out more about how we can help you and your students at:
(d) Find the smallest expected frequency for this test.
(1)
The test statistic for this test is 44.7
(e) Using a 1% level of significance, complete the test.
You should clearly state the
• degrees of freedom
• critical value
• conclusion
(3) Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P79982A
Publications Code 8FM0_23_MS_2606
_____________________________________________________________________________________
All the material in this publication is
_____________________________________________________________________________________ Education Ltd 2026
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Question 1 continues on page 4
for more:
2
for more:
*P79982A0212*
Candidate surname Other names
Centre Number Candidate Number
Edexcel Level 3 GCE
Friday 15 May 2026
Afternoon Paper
reference 8FM0/23
Further Mathematics
Advanced Subsidiary
Further Mathematics options
23: Further Statistics 1
(Part of options B, E, F and G) Mark Scheme (Results)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by regulations. Calculators
Summer 2026
must not have the facility for symbolic algebra manipulation, differentiation and
integration, or have retrievable mathematical formulae stored in them.
Instructions
•• 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, Edexcel GCE
••
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled. Advanced Subsidiary Level
Answer the questions in the spaces provided
In Further Mathematics (8FM0)
•
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Paper 23 Further Statistics 1
•
Answers without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
The total mark for this part of the examination is 40. There are 3 questions.
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
P79982A
P:1/1/1/1/
Education Ltd. *P79982A0112* for more:
for more:
, 1. Phil serves drinks for international students at a weekly event.
Edexcel and BTEC Qualifications
Phil collected the following data for a week in spring.
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
Drinks
Hot chocolate Coffee Tea Squash Total Edexcel and BTEC qualifications are awarded by the UK’s
Home country
largest awarding body. We provide a wide range of qualifications
China 48 3 14 5 70 including academic, vocational, occupational and specific
programmes for employers. For further information visit our
India 13 6 17 7 43
qualifications websites at or .
Other 8 12 5 12 37 Alternatively, you can get in touch with us using the details on our
contact us page at
Total
Phil believes that there is an association between the choice of drink and the home
country and uses these data in a suitable test to assess this belief.
(a) Write down suitable hypotheses for this test.
helping people progress, everywhere
(1)
Phil says that because the frequency for “China and Coffee” is less than 5, some rows or aspires to be the world’s leading learning company. Our aim is to help
columns will need to be combined. everyone progress in their lives through education. We believe in every kind of
(b) State, giving your reasons, why Phil’s statement is not correct. learning, for all kinds of people, wherever they are in the world. We’ve been
(2) 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
Show that, for this test, the expected frequency for “China and Hot chocolate”
is 32.2 high standards and raising achievement through innovation in education. Find
(1) out more about how we can help you and your students at:
(d) Find the smallest expected frequency for this test.
(1)
The test statistic for this test is 44.7
(e) Using a 1% level of significance, complete the test.
You should clearly state the
• degrees of freedom
• critical value
• conclusion
(3) Summer 2026
_____________________________________________________________________________________ Question Paper Log Number P79982A
Publications Code 8FM0_23_MS_2606
_____________________________________________________________________________________
All the material in this publication is
_____________________________________________________________________________________ Education Ltd 2026
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Question 1 continues on page 4
for more:
2
for more:
*P79982A0212*
