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).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
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.
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s–2
and give your answer to either 2 significant figures or 3 significant figures.
Information
A booklet „Mathematical Formulae and Statistical Tables‟ is provided.
•
There are 8 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
PEARSON A LEVEL FURTHER MATHEMATICS PAPER
4C MECHANICS 2 C O M B I N E D QUESTION PAPER &
MARK SCHEME
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
*P72802A0132*
,1. D
A D
O
N
O
2a 2a T
E W
RI
TE
IN
B C T
2a
HI
Figure 1 S
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1. AR
EA
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
D
The distance of the centre of mass of the framework from AB is d
O
12 + 7 2 N
(a) Show that d = a
12 + 6 2 O
(4)
T
W
The mass of the framework is M. A particle of mass kM is attached to the framework RI
at B TE
The distance of the centre of mass of the loaded framework from AB is a
IN
(b) Find the value of k T
(3) HI
S
AR
EA
2
D
*P72802A0232*
, Question 1 continued
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
*P72802A0332* 3
Turn over
, Question 1 continued
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
D
4
*P72802A0432*
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).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
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.
Unless otherwise indicated, whenever a value of g is required, take g = 9.8 m s–2
and give your answer to either 2 significant figures or 3 significant figures.
Information
A booklet „Mathematical Formulae and Statistical Tables‟ is provided.
•
There are 8 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
PEARSON A LEVEL FURTHER MATHEMATICS PAPER
4C MECHANICS 2 C O M B I N E D QUESTION PAPER &
MARK SCHEME
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
*P72802A0132*
,1. D
A D
O
N
O
2a 2a T
E W
RI
TE
IN
B C T
2a
HI
Figure 1 S
A uniform rod is cut into six pieces. The pieces are used to form the framework ABCDE
shown in Figure 1. AR
EA
• All the pieces of the framework lie in the same plane.
• AB = BC = CD = 2a
• AE = EC = ED = 2a
• Point E is the midpoint of AC
• Angle ABC = angle BCD = 90°
D
The distance of the centre of mass of the framework from AB is d
O
12 + 7 2 N
(a) Show that d = a
12 + 6 2 O
(4)
T
W
The mass of the framework is M. A particle of mass kM is attached to the framework RI
at B TE
The distance of the centre of mass of the loaded framework from AB is a
IN
(b) Find the value of k T
(3) HI
S
AR
EA
2
D
*P72802A0232*
, Question 1 continued
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
AR
EA
TH
IS
IN
W
RI
TE
T
N
O
D
O
*P72802A0332* 3
Turn over
, Question 1 continued
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
D
O
N
O
T
W
RI
TE
IN
T
HI
S
AR
EA
D
4
*P72802A0432*
