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Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 23 June 2025
Paper
Afternoon (Time: 1 hour 30 minutes)
reference 9FM0/4C
Further Mathematics
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), 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 pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• labelled.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
– there may be more space than you need.
• working
You should show sufficient working to make your methods clear. Answers without
may not gain full credit.
• and give your answer
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
to either 2 significant figures or 3 significant figures.
–2
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 8 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
The marks each question are shown in brackets
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
P72802A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/
*P72802A0132*
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,https://www.stuvia.com/uploads https://www.stuvia.com/uploads 3/6/2026, 9:10:55 AM
1.
A D
DO NOT WRITE IN THIS AREA
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.
DO NOT WRITE IN THIS AREA
• AB = BC = CD = 2a
• 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
DO NOT WRITE IN THIS AREA
(3)
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2
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Question 1 continued
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Question 1 continued
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4
https://www.stuvia.com/uploads *P72802A0432*
https://www.stuvia.com/uploads 3/6/2026
Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Monday 23 June 2025
Paper
Afternoon (Time: 1 hour 30 minutes)
reference 9FM0/4C
Further Mathematics
Advanced
PAPER 4C: Further Mechanics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), 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 pen.
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
• centre
Fill in the boxes at the top of this page with your name,
number and candidate number.
• labelled.
Answer all questions and ensure that your answers to parts of questions are clearly
• Answer the questions in the spaces provided
– there may be more space than you need.
• working
You should show sufficient working to make your methods clear. Answers without
may not gain full credit.
• and give your answer
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s
to either 2 significant figures or 3 significant figures.
–2
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
are 8 questions in this question paper. The total mark for this paper is 75.
• – use this asfora guide
The marks each question are shown in brackets
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
P72802A
©2025 Pearson Education Ltd.
Y:1/1/1/1/1/
*P72802A0132*
https://www.stuvia.com/uploads https://www.stuvia.com/uploads 3/6/2026
,https://www.stuvia.com/uploads https://www.stuvia.com/uploads 3/6/2026, 9:10:55 AM
1.
A D
DO NOT WRITE IN THIS AREA
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.
DO NOT WRITE IN THIS AREA
• AB = BC = CD = 2a
• 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
DO NOT WRITE IN THIS AREA
(3)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
https://www.stuvia.com/uploads *P72802A0232*
https://www.stuvia.com/uploads 3/6/2026
, https://www.stuvia.com/uploads https://www.stuvia.com/uploads 3/6/2026, 9:10:55 AM
Question 1 continued
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DO NOT WRITE IN THIS AREA
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3
https://www.stuvia.com/uploads *P72802A0332*
https://www.stuvia.com/uploads Turn over
3/6/2026
, https://www.stuvia.com/uploads https://www.stuvia.com/uploads 3/6/2026, 9:10:55 AM
Question 1 continued
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4
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