Advanced maths
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Monday 23 June Pap
reference9FM0/4
Afternoon (Time: 1 hour 30
2025
minutes) er
C
Further Mathematics
🟐 🟐
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator permitted 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
• 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
centre
pen. number and candidate number.
• Answer all questions and ensure that your answers to parts of
• provided – there
questions
name, are clearly labelled.
Answer the questions in the spaces
• than
may be more space
you need.
You should show sufficient working to make your methods clear.
• Unless
Answers without working may not gain full credit.
otherwise indicated, whenever a value of g is required, take g =
9.8 m s and give your answer to either 2 significant figures or 3
–2
Informatio
• significant
n figures.
A booklet ‘Mathematical Formulae and Statistical Tables’ is
• There are 8 questions in this question paper. The total mark for this paper is 75.
• provided.
The marks for each question are shown in
– use this as a guide as to how much time to spend on each question.
Advic
brackets
•
e Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the P72802A
question. ©202
5
end.
P
e
a
Advanced maths
,rson Education Ltd.
Y:1/1/1/1/1/
Turn over
,1.
A D
AREA
DO NOT WRITE IN THIS
2a E 2a
B C
2a
Figure 1
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1.
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
AREA
DO NOT WRITE IN THIS
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
The distance of the centre of mass of the framework from AB is d
12 7 2
(a) Show that d = a
12 6 2
(4)
The mass of the framework is M. A particle of mass kM is attached to the framework
at B
The distance of the centre of mass of the loaded framework from AB is a
(b) Find the value of k
AREA
DO NOT WRITE IN THIS
(3)
2
■■■
■
,
DO NOT WRITE IN THIS DO NOT WRITE IN THIS DO NOT WRITE IN THIS
AREA AREA AREA
■
■■■
Question 1 continued
Turn
over
3
Please check the examination details below before entering your
candidate information
Candidate surnameOther names
Centre Candidate
Number Number
Pearson Edexcel Level
3 GCE
Monday 23 June Pap
reference9FM0/4
Afternoon (Time: 1 hour 30
2025
minutes) er
C
Further Mathematics
🟐 🟐
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
calculator
Candidates may use any calculator permitted 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
• 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
centre
pen. number and candidate number.
• Answer all questions and ensure that your answers to parts of
• provided – there
questions
name, are clearly labelled.
Answer the questions in the spaces
• than
may be more space
you need.
You should show sufficient working to make your methods clear.
• Unless
Answers without working may not gain full credit.
otherwise indicated, whenever a value of g is required, take g =
9.8 m s and give your answer to either 2 significant figures or 3
–2
Informatio
• significant
n figures.
A booklet ‘Mathematical Formulae and Statistical Tables’ is
• There are 8 questions in this question paper. The total mark for this paper is 75.
• provided.
The marks for each question are shown in
– use this as a guide as to how much time to spend on each question.
Advic
brackets
•
e Read each question carefully before you start to answer it.
• Try to answer every
• Check your answers if you have time at the P72802A
question. ©202
5
end.
P
e
a
Advanced maths
,rson Education Ltd.
Y:1/1/1/1/1/
Turn over
,1.
A D
AREA
DO NOT WRITE IN THIS
2a E 2a
B C
2a
Figure 1
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1.
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
AREA
DO NOT WRITE IN THIS
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
The distance of the centre of mass of the framework from AB is d
12 7 2
(a) Show that d = a
12 6 2
(4)
The mass of the framework is M. A particle of mass kM is attached to the framework
at B
The distance of the centre of mass of the loaded framework from AB is a
(b) Find the value of k
AREA
DO NOT WRITE IN THIS
(3)
2
■■■
■
,
DO NOT WRITE IN THIS DO NOT WRITE IN THIS DO NOT WRITE IN THIS
AREA AREA AREA
■
■■■
Question 1 continued
Turn
over
3
