AQA QP 2023 A-level FURTHER MATHEMATICS Paper 3 (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
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 graphical or scientific calculator that meets the
requirements of the specification. 1
l 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
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
If you require extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 8
l Do not write outside the box around each page or on blank pages.
TOTAL
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.
PB/KL/Jun23/E5 7367/3M
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 State the dimensions of power.
Circle your answer.
[1 mark]
ML 2 T 3 ML 3 T 3 ML 3 T 2 ML 2 T 2
2 The force (3i þ 4j) N acts at the point with coordinates (0, 2)
The unit vectors i and j are directed along the x-axis and the y-axis respectively.
Calculate the magnitude of the moment of this force about the origin.
Circle your answer.
[1 mark]
6Nm 8Nm 10 N m 14 N m
(02)
Jun23/7367/3M
, 3
Do not write
outside the
3 A uniform disc has mass 6 kg and diameter 8 cm box
A uniform rectangular lamina, ABCD, has mass 4 kg, width 8 cm and length 20 cm
The disc is fixed to the lamina to form a composite body as shown in the
diagram below.
A B
8 cm
D C
20 cm
The sides AB, AD and CD are tangents to the disc.
Calculate the distance of the centre of mass of the composite body from AD
Circle your answer.
[1 mark]
4 cm 5.6 cm 6.4 cm 8.8 cm
4 A car of mass 1400 kg drives around a horizontal circular bend of radius 60 metres.
The car has a constant speed of 12 m s1 on the bend.
Calculate the magnitude of the resultant force acting on the car.
[2 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over
s
(03)
Jun23/7367/3M
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
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 graphical or scientific calculator that meets the
requirements of the specification. 1
l 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
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
If you require extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 8
l Do not write outside the box around each page or on blank pages.
TOTAL
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.
PB/KL/Jun23/E5 7367/3M
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 State the dimensions of power.
Circle your answer.
[1 mark]
ML 2 T 3 ML 3 T 3 ML 3 T 2 ML 2 T 2
2 The force (3i þ 4j) N acts at the point with coordinates (0, 2)
The unit vectors i and j are directed along the x-axis and the y-axis respectively.
Calculate the magnitude of the moment of this force about the origin.
Circle your answer.
[1 mark]
6Nm 8Nm 10 N m 14 N m
(02)
Jun23/7367/3M
, 3
Do not write
outside the
3 A uniform disc has mass 6 kg and diameter 8 cm box
A uniform rectangular lamina, ABCD, has mass 4 kg, width 8 cm and length 20 cm
The disc is fixed to the lamina to form a composite body as shown in the
diagram below.
A B
8 cm
D C
20 cm
The sides AB, AD and CD are tangents to the disc.
Calculate the distance of the centre of mass of the composite body from AD
Circle your answer.
[1 mark]
4 cm 5.6 cm 6.4 cm 8.8 cm
4 A car of mass 1400 kg drives around a horizontal circular bend of radius 60 metres.
The car has a constant speed of 12 m s1 on the bend.
Calculate the magnitude of the resultant force acting on the car.
[2 marks]
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Turn over
s
(03)
Jun23/7367/3M
