AQA A-LEVEL FURTHER MATHEMATICS 7367/3M PAPER 3
FINAL EXAM QUESTION PAPER
(AUTHENTIC MARKING SCHEME ATTACHED).
A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet
for A-level Mathematics and A-level Further Mathematics. Question Mark
l You should have a scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Discrete or
Statistics). You will have 3
2 hours to complete both papers. 4
Instructions 5
l Use black ink or black ball-point pen. Pencil should only be used for
drawing. 6
l Fill in the boxes at the top of this page.
l Answer all questions. 7
l You must answer each question in the space provided for that 8
question.
If you require extra space for your answer(s), use the lined pages at 9
the end of this book. Write the question number against your TOTAL
answer(s).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be
lost.
l Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2273673M01) 7367/3M
PB/Jun22/E5
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The graph shows how a force, F newtons, varies during a 5 second period of time.
F (N)
7
5 t (s)
Calculate the magnitude of the impulse of the force.
Circle your answer.
[1 mark]
17.5 N s 25 N s 35 N s 70 N s
1
2 A car of mass 1200 kg is travelling at a constant speed of 18 m s on a straight
horizontal road.
The car experiences a total resistive force of 240 newtons.
Calculate the power of the car’s engine.
Circle your answer.
[1 mark]
900 W 4320 W 16 000 W 21 600 W
(02)
Jun22/7367/3M
, 3
Do not write
outside the
3 Three particles are attached to a light rod, AB, of length 40 cm box
The particles are attached at A, B and the midpoint of the rod.
The particle at A has mass 5 kg
The particle at B has mass 1 kg
The particle at the midpoint has mass 4 kg
Find the distance of the centre of mass of this system from the midpoint of the rod.
Circle your answer.
[1 mark]
4 cm 8 cm 12 cm 28 cm
Turn over for the next question
Turn over
s
(03)
Jun22/7367/3M
, 4
Do not write
outside the
4 (a) State the dimensions of force. box
[1 mark]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4 (b) The velocity of an object in a circular orbit can be calculated using the formula
a b c
v¼G m r
where:
2 2
G ¼ Universal constant of gravitation in N m kg
m ¼ Mass of the Earth in kg
r ¼ Radius of the orbit in metres
Use dimensional analysis to find the values of a, b and c
[4 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun22/7367/3M
FINAL EXAM QUESTION PAPER
(AUTHENTIC MARKING SCHEME ATTACHED).
A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet
for A-level Mathematics and A-level Further Mathematics. Question Mark
l You should have a scientific calculator that meets the
requirements of the specification. 1
l You must ensure you have the other optional Question 2
Paper/Answer Book for which you are entered (either Discrete or
Statistics). You will have 3
2 hours to complete both papers. 4
Instructions 5
l Use black ink or black ball-point pen. Pencil should only be used for
drawing. 6
l Fill in the boxes at the top of this page.
l Answer all questions. 7
l You must answer each question in the space provided for that 8
question.
If you require extra space for your answer(s), use the lined pages at 9
the end of this book. Write the question number against your TOTAL
answer(s).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be
lost.
l Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 50.
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the booklet.
l You do not necessarily need to use all the space provided.
(JUN2273673M01) 7367/3M
PB/Jun22/E5
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 The graph shows how a force, F newtons, varies during a 5 second period of time.
F (N)
7
5 t (s)
Calculate the magnitude of the impulse of the force.
Circle your answer.
[1 mark]
17.5 N s 25 N s 35 N s 70 N s
1
2 A car of mass 1200 kg is travelling at a constant speed of 18 m s on a straight
horizontal road.
The car experiences a total resistive force of 240 newtons.
Calculate the power of the car’s engine.
Circle your answer.
[1 mark]
900 W 4320 W 16 000 W 21 600 W
(02)
Jun22/7367/3M
, 3
Do not write
outside the
3 Three particles are attached to a light rod, AB, of length 40 cm box
The particles are attached at A, B and the midpoint of the rod.
The particle at A has mass 5 kg
The particle at B has mass 1 kg
The particle at the midpoint has mass 4 kg
Find the distance of the centre of mass of this system from the midpoint of the rod.
Circle your answer.
[1 mark]
4 cm 8 cm 12 cm 28 cm
Turn over for the next question
Turn over
s
(03)
Jun22/7367/3M
, 4
Do not write
outside the
4 (a) State the dimensions of force. box
[1 mark]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
4 (b) The velocity of an object in a circular orbit can be calculated using the formula
a b c
v¼G m r
where:
2 2
G ¼ Universal constant of gravitation in N m kg
m ¼ Mass of the Earth in kg
r ¼ Radius of the orbit in metres
Use dimensional analysis to find the values of a, b and c
[4 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(04)
Jun22/7367/3M
