Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 16 May 2025
Afternoon Paper
reference 8FM0/25
Further Mathematics
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed 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.
•
The total mark for this part of the examination is 40. There are 4 questions.
The marks for each question are shown in brackets
– use this as a guide 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. Turn over
Check your answers if you have time at the end.
P74073A
©2022 Pearson Education Ltd.
Y:1/1/1/1/
*P74073A0116*
,1. A car of mass 1000 kg moves along a straight horizontal road at a constant
speed U m s −1 . The engine of the car is working at a rate of 20 kW.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The total resistance to the motion of the car is modelled as a constant force of
magnitude 1600 N.
Using the model,
(a) find the value of U.
(3)
Later on, the car moves down a straight road which is inclined to the horizontal at an
1
angle α, where sin α =
49
The total resistance to the motion of the car is again modelled as a constant
force of magnitude 1600 N.
At the instant when the engine of the car is working at a rate of 20 kW and the speed of
the car is 8 m s−1, the acceleration of the car is a m s−2
Using the model,
(b) find the value of a.
(4)
(c) State one improvement to the model that would make it more realistic.
(1)
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2
*P74073A0216*
, Question 1 continued
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3
*P74073A0316* Turn over
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Friday 16 May 2025
Afternoon Paper
reference 8FM0/25
Further Mathematics
Advanced Subsidiary
Further Mathematics options
25: Further Mechanics 1
(Part of options C, E, H and J)
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed 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.
•
The total mark for this part of the examination is 40. There are 4 questions.
The marks for each question are shown in brackets
– use this as a guide 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. Turn over
Check your answers if you have time at the end.
P74073A
©2022 Pearson Education Ltd.
Y:1/1/1/1/
*P74073A0116*
,1. A car of mass 1000 kg moves along a straight horizontal road at a constant
speed U m s −1 . The engine of the car is working at a rate of 20 kW.
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
The total resistance to the motion of the car is modelled as a constant force of
magnitude 1600 N.
Using the model,
(a) find the value of U.
(3)
Later on, the car moves down a straight road which is inclined to the horizontal at an
1
angle α, where sin α =
49
The total resistance to the motion of the car is again modelled as a constant
force of magnitude 1600 N.
At the instant when the engine of the car is working at a rate of 20 kW and the speed of
the car is 8 m s−1, the acceleration of the car is a m s−2
Using the model,
(b) find the value of a.
(4)
(c) State one improvement to the model that would make it more realistic.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
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2
*P74073A0216*
, Question 1 continued
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DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
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3
*P74073A0316* Turn over
