Edexcel AS Level In GCE further mathematics (8FM0/22) Options 22:paper 2(A) +
mark scheme May 2025
surname names
Number Number
Further Mathematics
□ □
Afternoon
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
If pencil is ink
usedorforball-point pen.
diagrams/sketches/graphs it must be dark (HB or B).
• cFai lnl di ni d taht ee nbuomxebesra.t the top of this page with your name, centre number and
• Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
Answer the questions in the spaces provided
• Answers without working may not gainto make
–You
there may show
should be more space than
sufficient you need.
working your methods clear.
• Inexact answers should be given to threefullsignificant
•
credit.
figures unless otherwise stated.
Information
• The total mark
A booklet for this part
‘Mathematical of the examination
Formulae and Statistical is 40. Thereis are
Tables’ 5 questions.
provided.
•Advice
–Thuesemtahriks sasfoar geuaidceh aqsuteos htioown maruecshhtoiw
mne itno bspraecnkdeotsn each question.
• Read each question carefully before you start to answer it.
• Try ©
• your answers if you have time at the end.
to answer every question. 2
0
Check 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
■■
mark scheme May 2025
surname names
Number Number
Further Mathematics
□ □
Afternoon
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
If pencil is ink
usedorforball-point pen.
diagrams/sketches/graphs it must be dark (HB or B).
• cFai lnl di ni d taht ee nbuomxebesra.t the top of this page with your name, centre number and
• Answer all questions and ensure that your answers to parts of questions are
• clearly labelled.
Answer the questions in the spaces provided
• Answers without working may not gainto make
–You
there may show
should be more space than
sufficient you need.
working your methods clear.
• Inexact answers should be given to threefullsignificant
•
credit.
figures unless otherwise stated.
Information
• The total mark
A booklet for this part
‘Mathematical of the examination
Formulae and Statistical is 40. Thereis are
Tables’ 5 questions.
provided.
•Advice
–Thuesemtahriks sasfoar geuaidceh aqsuteos htioown maruecshhtoiw
mne itno bspraecnkdeotsn each question.
• Read each question carefully before you start to answer it.
• Try ©
• your answers if you have time at the end.
to answer every question. 2
0
Check 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
■■
