AQA
A-LEVEL
FURTHER MATHEMATICS
Paper 2
7367/2
MAY 2023
CONTENT ON NEXT PAGE
[MERGED]
, 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 2
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
1
requirements of the specification.
2
Instructions 3
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page. 4
l Answer all questions. 5
l You must answer each question in the space provided for that question. 6
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). 7
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost.
9
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information
l The marks for questions are shown in brackets. 12
l The maximum mark for this paper is 100. 13
14
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 15
booklet. 16
l You do not necessarily need to use all the space provided.
TOTAL
PB/KL/Jun23/E4 7367/2
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
d 2y
1 Given that y ¼ sin x þ sinh x , find þy
d x2
Circle your answer.
[1 mark]
2 sin x 2 sin x 2 sinh x 2 sinh x
2 Which one of the expressions below is not equal to zero?
Circle your answer.
[1 mark]
ex
lim (x 2 e x ) lim (x 5 ln x) lim lim (x 3 e x )
x!1 x!0 x!1 x5 x!0
(02)
Jun23/7367/2
, 3
Do not write
outside the
1 1 1 box
3 The determinant A ¼ 2 0 2
3 2 1
Which one of the determinants below has a value which is not equal to the value of A?
Tick (3) one box.
[1 mark]
3 1 3
2 0 2
3 2 1
1 2 3
1 0 2
1 2 1
2 2 2
1 0 1
3 2 1
1 1 1
3 2 1
2 0 2
4 It is given that f (x) ¼ cosh1 (x 3)
Which of the sets listed below is the greatest possible domain of the function f ?
Circle your answer.
[1 mark]
fx : x 4g fx : x 3g fx : x 1g fx : x 0g
Turn over
s
(03)
Jun23/7367/2
A-LEVEL
FURTHER MATHEMATICS
Paper 2
7367/2
MAY 2023
CONTENT ON NEXT PAGE
[MERGED]
, 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 2
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
1
requirements of the specification.
2
Instructions 3
l Use black ink or black ball‑point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page. 4
l Answer all questions. 5
l You must answer each question in the space provided for that question. 6
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). 7
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost.
9
l Do all rough work in this book. Cross through any work that you do not want
to be marked. 10
11
Information
l The marks for questions are shown in brackets. 12
l The maximum mark for this paper is 100. 13
14
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 15
booklet. 16
l You do not necessarily need to use all the space provided.
TOTAL
PB/KL/Jun23/E4 7367/2
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
d 2y
1 Given that y ¼ sin x þ sinh x , find þy
d x2
Circle your answer.
[1 mark]
2 sin x 2 sin x 2 sinh x 2 sinh x
2 Which one of the expressions below is not equal to zero?
Circle your answer.
[1 mark]
ex
lim (x 2 e x ) lim (x 5 ln x) lim lim (x 3 e x )
x!1 x!0 x!1 x5 x!0
(02)
Jun23/7367/2
, 3
Do not write
outside the
1 1 1 box
3 The determinant A ¼ 2 0 2
3 2 1
Which one of the determinants below has a value which is not equal to the value of A?
Tick (3) one box.
[1 mark]
3 1 3
2 0 2
3 2 1
1 2 3
1 0 2
1 2 1
2 2 2
1 0 1
3 2 1
1 1 1
3 2 1
2 0 2
4 It is given that f (x) ¼ cosh1 (x 3)
Which of the sets listed below is the greatest possible domain of the function f ?
Circle your answer.
[1 mark]
fx : x 4g fx : x 3g fx : x 1g fx : x 0g
Turn over
s
(03)
Jun23/7367/2
