Mechanics Question Paper & Mark Scheme (Merged) Friday 13
June 2025 [VERIFIED]
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A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Friday 13 June 2025 Afternoon Time allowed: 2 hours
Materials
For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for
A‑ level Mathematics and A‑ level Further Mathematics. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
You must ensure you have the other optional Question Paper/Answer Book
2
for which you are entered (either Discrete or Statistics). You will have
2 hours to complete both papers. 3
Instructions 4
Use black ink or black ball‑ point pen. Pencil should only be used for drawing.
5
Fill in the boxes at the top of this page.
Answer all questions. 6
You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end 7
of this book. Write the question number against your answer(s).
Do not write outside the box around each page or on blank pages.
8
Show all necessary working; otherwise marks for method may be lost.
9
Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
Information 11
The marks for questions are shown in brackets.
The maximum mark for this paper is 50.
TOTAL
Advice
Unless stated otherwise, you may quote formulae, without proof, from the booklet.
You do not necessarily need to use all the space provided.
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, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A motorcycle has a maximum speed of 44 m s–1 on a straight, horizontal road.
The maximum power of the motorcycle is 55 kilowatts.
Find the magnitude of the total resistance force acting on the motorcycle at its
maximum speed on this road.
Circle your answer.
[1 mark]
1.25 N 125 N 1250 N 2420 N
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Do not write
outside the
box
2 The graph shows how a force F newtons varies with displacement x metres.
F
8
O 10 x
Find the work done by the force as the displacement increases from x = 5 to x = 10
Circle your answer.
[1 mark]
10 J 30 J 40 J 80 J
Turn over for the next question
Turn over U
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Do not write
outside the
box
3 The diagram shows a uniform lamina made from three identical squares.
y
O x
The coordinates of the centre of the mass of the lamina are ( x, y)
Which one of the following statements is correct?
Circle your answer.
[1 mark]
1
x=y x>y x<y x= y
3
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