ACTUAL JUNE 2024 AQA A-LEVEL FURTHER MATHEMATICS PAPER 3 7367/3M QUESTION PAPER
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Friday 7 June 2024 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
1
requirements of the specification.
⚫ 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).
8
⚫ Do not write outside the box around each page or on blank pages.
⚫ 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. TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 50.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4006/V7 7367/3M
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A particle moves in a circular path so that at time t seconds its position vector, r metres,
is given by
r = 4 sin(2t)i + 4 cos(2t) j
Find the velocity of the particle, in m s–1, when t = 0
Circle your answer.
[1 mark]
8i –8j 8j 8i – 8j
2 As a particle moves along a straight horizontal line, it is subjected to a force
F newtons that acts in the direction of motion of the particle.
t
At time t seconds, F =
5
Calculate the magnitude of the impulse on the particle between t = 0 and t = 3
Circle your answer.
[1 mark]
0.3 N s 0.6 N s 0.9 N s 1.8 N s
G/Jun24/7367/3M
, 3
Do not write
outside the
box
3 A conical pendulum consists of a light string and a particle of mass m kg
The conical pendulum completes horizontal circles with radius r metres and
angular speed ω radians per second. The string makes an angle θ with the
downward vertical.
The tension in the string is T newtons.
The conical pendulum and the forces acting on the particle are shown in the diagram.
θ
T
mg
Which one of the following statements is correct?
Tick (✓) one box.
[1 mark]
T cos θ = mrω2
T sin θ = mrω2
mω2
T cos θ = r
mω2
T sin θ = r
Turn over U
G/Jun24/7367/3M
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Friday 7 June 2024 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
1
requirements of the specification.
⚫ 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).
8
⚫ Do not write outside the box around each page or on blank pages.
⚫ 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. TOTAL
Information
⚫ The marks for questions are shown in brackets.
⚫ The maximum mark for this paper is 50.
Advice
⚫ Unless stated otherwise, you may quote formulae, without proof, from the booklet.
⚫ You do not necessarily need to use all the space provided.
G/LM/Jun24/G4006/V7 7367/3M
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 A particle moves in a circular path so that at time t seconds its position vector, r metres,
is given by
r = 4 sin(2t)i + 4 cos(2t) j
Find the velocity of the particle, in m s–1, when t = 0
Circle your answer.
[1 mark]
8i –8j 8j 8i – 8j
2 As a particle moves along a straight horizontal line, it is subjected to a force
F newtons that acts in the direction of motion of the particle.
t
At time t seconds, F =
5
Calculate the magnitude of the impulse on the particle between t = 0 and t = 3
Circle your answer.
[1 mark]
0.3 N s 0.6 N s 0.9 N s 1.8 N s
G/Jun24/7367/3M
, 3
Do not write
outside the
box
3 A conical pendulum consists of a light string and a particle of mass m kg
The conical pendulum completes horizontal circles with radius r metres and
angular speed ω radians per second. The string makes an angle θ with the
downward vertical.
The tension in the string is T newtons.
The conical pendulum and the forces acting on the particle are shown in the diagram.
θ
T
mg
Which one of the following statements is correct?
Tick (✓) one box.
[1 mark]
T cos θ = mrω2
T sin θ = mrω2
mω2
T cos θ = r
mω2
T sin θ = r
Turn over U
G/Jun24/7367/3M
