Edexcel A Level In GCE further mathematics (9FM0/4C) paper 4C: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
•• IfUsepencil
black ink or ball-point pen.
• centre
is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes
number andatcandidate
the top ofnumber.
this page with your name,
• Answer 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.
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.
–2
Information
••ATher
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
e arrkes 8foqrueesatciohnsquinestthioisnqaureestsihoonwpnapinerb.raTchkeettsotal mark for this paper is 75.
m
– 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
•• Check
Try to answer every question.
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.
• AB = BC = CD = 2a
DO NOT WRITE IN THIS AREA
• 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
■■
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
•• IfUsepencil
black ink or ball-point pen.
• centre
is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes
number andatcandidate
the top ofnumber.
this page with your name,
• Answer 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.
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.
–2
Information
••ATher
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
e arrkes 8foqrueesatciohnsquinestthioisnqaureestsihoonwpnapinerb.raTchkeettsotal mark for this paper is 75.
m
– 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
•• Check
Try to answer every question.
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.
• AB = BC = CD = 2a
DO NOT WRITE IN THIS AREA
• 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
■■
