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2023 AQA A-level FURTHER MATHEMATICS 7367/1 Paper 1 Question Paper & Mark
scheme (Merged) June 2023 [VERIFIED]
A-level
FURTHER MATHEMATICS
Paper 1
hursday 25 May 2023 fternoon 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
Question Mark
requirements of the specification.
1
Instructions
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. 2
Answer all questions.
3
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 4
end of this book. Write the question number against your answer(s). 5
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost. 6
Do all rough work in this book. Cross through any work that you do not want 7
to be marked. 8
Information 9
The marks for questions are shown in brackets. 10
The maximum mark for this paper is 100. 11
Advice 12
Unless stated otherwise, you may quote formulae, without proof, from 13
the booklet.
14
You do not necessarily need to use all the space provided.
15
16
TOTAL
PB/KL/Jun23/E6 7367/1
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Find the number of solutions of the equation tanh x ¼ cosh
x Circle your answer.
[1 mark]
0 1 2 3
2 The diagram below shows a locus on an Argand diagram.
Im
O 2 Re
–3
Which of the equations below represents the locus shown above?
, his transformation?
Do not write
Circle your answer. outside the
box
[1 mark]
(1, 1) (0, 2) (3, 0) (2, 1)
4 The solution of a second order differential equation is f (t)
The differential equation models heavy damping.
Which one of the statements below could be true?
Tick (3) one box.
[1 mark]
t t
f (t) ¼ 2e cos (3t) þ 5e sin (3t)
t t
f (t) ¼ 3e þ 4te
f (t) ¼ 7e t þ 2e 2t
t
f (t) ¼ 8e cos (3t 0:1)
Turn over for the next question
Turn over s
(03)
Jun23/7367/1
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