Pearson Edexcel Level 3 GCE Further Mathematics Advanced
PAPER 1: Core Pure Mathematics 1 (FM0/01)
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure Mathematics 1
You must have:
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebraic 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
centre boxes
number at candidate
and the top of number.
this page with your name,
• Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•There are ‘Mathematical
A booklet 10 questions inFormulae
this question paper. TheTables’
and Statistical total mark for this paper is 75.
is provided.
•Advice
–T huesemtahriks sasf oar geuaidcehaqsuteosthioow
n amreucshhotiwmneintobsrpae
cknedto
s n each question.
•
Read each question carefully before you start to answer it.
•
T r y to answ e r e v y q u e s tio n .
C h ec k your a ns w er s i f y o u h a ve time at the end.
Turn over
,P74077A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/
, 1.
3 6 0
M = a 3 1
DO NOT WRITE IN THIS AREA
where a is a constant
2 a a
(a) Determine the values of a for which the matrix M is singular.
(3)
Given that matrix M is non-singular and that
• det(M) = −108
• a0
(b) determine the matrix M −1
(3)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
PAPER 1: Core Pure Mathematics 1 (FM0/01)
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
9FM0/01
Further Mathematics
Advanced
PAPER 1: Core Pure Mathematics 1
You must have:
Candidates may use any calculator permitted by Pearson regulations. Calculators
must not have the facility for symbolic algebraic 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
centre boxes
number at candidate
and the top of number.
this page with your name,
• Answer all questions and ensure that your answers to parts of questions are clearly
labelled.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You should show sufficient working to make your methods clear. Answers without
working may not gain full credit.
•Information
Inexact answers should be given to three significant figures unless otherwise stated.
•There are ‘Mathematical
A booklet 10 questions inFormulae
this question paper. TheTables’
and Statistical total mark for this paper is 75.
is provided.
•Advice
–T huesemtahriks sasf oar geuaidcehaqsuteosthioow
n amreucshhotiwmneintobsrpae
cknedto
s n each question.
•
Read each question carefully before you start to answer it.
•
T r y to answ e r e v y q u e s tio n .
C h ec k your a ns w er s i f y o u h a ve time at the end.
Turn over
,P74077A
,©2025 Pearson Education Ltd.
Y:1/1/1/1/1/1/
, 1.
3 6 0
M = a 3 1
DO NOT WRITE IN THIS AREA
where a is a constant
2 a a
(a) Determine the values of a for which the matrix M is singular.
(3)
Given that matrix M is non-singular and that
• det(M) = −108
• a0
(b) determine the matrix M −1
(3)
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
2
