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2023 AQA A-level FURTHER MATHEMATICS 7367/3M Paper 3 Mechanics Question Paper
& Mark scheme (Merged) June 2023 [VERIFIED]
A-level
FURTHER MATHEMATICS
Paper 3 Mechanics
Wednesday 14 June 2023 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.
You should have a graphical or scientific calculator that meets the
requirements of the specification. Question Mark
You must ensure you have the other optional Question Paper/Answer Book for 1
which you are entered (either Discrete or Statistics). You will have
2 hours to complete both papers. 2
Instructions 3
Use black ink or black ball‑point pen. Pencil should only be used for drawing. Fill in the boxes at the top of this page.
Answer all questions. 4
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 of 5
this book. Write the question number against your answer(s). 6
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 7
Do all rough work in this book. Cross through any work that you do not want 8
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.
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]
2 3 3 3 3 2 2
ML T ML T ML T ML 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
1
metres. The car has a constant speed of 12 m s on the bend.
Calculate the magnitude of the resultant force acting on the car.
[2 marks]
, 4
Do not write
2 outside the
5 A region bounded by the curve with equation y ¼ 4 x , the x-axis and the y-axis is box
shown below.
y
O x
The region is rotated through 360L around the x-axis to create a uniform solid.
5 (a) Show
5
that the distance of the centre of mass of the solid from the circular face is
8
[5 marks]
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