PEARSON EDEXCEL LEVEL 3 GCE 9FM0/4C FURTHER MATHEMATICS
ADVANCED PAPER 4C: FURTHER MECHANICS 2+ MARK SCHEME JUNE
2025
surname names
Number Number
Further Mathematics
🟐 🟐
Advanced
PAPER 4C: Further Mechanics 2
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
–2
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 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. ©
P72802A
2
0
2
5
P
e
,arson Education Ltd.
Y:1/1/1/1/1/
Turn over
,
, 1.
A D
DO NOT WRITE IN THIS AREA
2a E 2a
B 2a C
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
■■■■
ADVANCED PAPER 4C: FURTHER MECHANICS 2+ MARK SCHEME JUNE
2025
surname names
Number Number
Further Mathematics
🟐 🟐
Advanced
PAPER 4C: Further Mechanics 2
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.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• Answer
centre number and candidate number.
all questions and ensure that your answers to parts of questions are clearly
• Answer
labelled.
the questions in the spaces provided
• You
– there may be more space than you need.
should show sufficient working to make your methods clear. Answers without
• Unless
working may not gain full credit.
–2
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 significant figures.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The are 8 questions in this question paper. The total mark for this paper is 75.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
Advice
•• Try to answer every question.
Check your answers if you have time at the end. ©
P72802A
2
0
2
5
P
e
,arson Education Ltd.
Y:1/1/1/1/1/
Turn over
,
, 1.
A D
DO NOT WRITE IN THIS AREA
2a E 2a
B 2a C
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
■■■■
