PEARSON EDEXCEL LEVEL 3 GCE 8FM0/22 FURTHER MATHEMATICS
ADVANCED SUBSIDIARY FURTHER MATHEMATICS OPTIONS 22: FURTHER
PURE MATHEMATICS (PART OF OPTION A ONLY) +MARKSCHEME MAY 2025
surname names
Number Number
Afternoon
Further Mathematics
🟐 🟐
Advanced Subsidiary
Further Mathematics options
22: Further Pure Mathematics 2
(Part of option A only)
Candidates may use any calculator allowed by Pearson regulations.
Calculators 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 number.
candidate boxes at the top of this page with your name, centre number and
• Answer all questions and ensure that your answers to parts of questions are
• Answer
clearly 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.
• Answers
•
without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 40. There are 5 questions.
• The
– usemarks
this asfor each as
a guide question are shown
to how much time in
to brackets
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.
©
2
0
2
5
P
P74522A e
a
,rson Education Ltd.
Y:1/1/1/1/1/1/1/1/
Turn over
,
, 1. In this question you must show all stages of your working.
Solutions based entirely on calculator technology are not acceptable.
DO NOT WRITE IN THIS AREA
(i) (a) Use the Euclidean algorithm to determine the highest common factor h of
105 and 24
(3)
(b) Hence determine integers a and b such that
105a + 24b = h
(3)
5
(ii) Determine the remainder when 179 is divided by 11
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
■■■■
ADVANCED SUBSIDIARY FURTHER MATHEMATICS OPTIONS 22: FURTHER
PURE MATHEMATICS (PART OF OPTION A ONLY) +MARKSCHEME MAY 2025
surname names
Number Number
Afternoon
Further Mathematics
🟐 🟐
Advanced Subsidiary
Further Mathematics options
22: Further Pure Mathematics 2
(Part of option A only)
Candidates may use any calculator allowed by Pearson regulations.
Calculators 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 number.
candidate boxes at the top of this page with your name, centre number and
• Answer all questions and ensure that your answers to parts of questions are
• Answer
clearly 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.
• Answers
•
without working may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
Information
•• AThebooklet ‘Mathematical Formulae and Statistical Tables’ is provided.
total mark for this part of the examination is 40. There are 5 questions.
• The
– usemarks
this asfor each as
a guide question are shown
to how much time in
to brackets
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.
©
2
0
2
5
P
P74522A e
a
,rson Education Ltd.
Y:1/1/1/1/1/1/1/1/
Turn over
,
, 1. In this question you must show all stages of your working.
Solutions based entirely on calculator technology are not acceptable.
DO NOT WRITE IN THIS AREA
(i) (a) Use the Euclidean algorithm to determine the highest common factor h of
105 and 24
(3)
(b) Hence determine integers a and b such that
105a + 24b = h
(3)
5
(ii) Determine the remainder when 179 is divided by 11
(2)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
■■■■
