Please write clearly in block capitals.
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS For Examiner’s Use
Paper 1 Question Mark
1
Thursday 22 May 2025 Afternoon Time allowed:
2 2 hours
Materials
3
l You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. l You should have a 4
graphical or scientific calculator that meets the requirements of the specification.
5
Instructions 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. l Answer all questions. 6
l 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 this 7
book. Write the question number against your answer(s). l Do not write outside
the box around each page or on blank pages. l Show all necessary working; 8
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. 9
Information l The marks for questions are shown in brackets. l The maximum 10
mark for this paper is 100.
11
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 12
booklet. l You do not necessarily need to use all the space provided.
13
14
15
16
17
18
TOTAL
, 2
Do not write
outside the
box
(JUN257367101) G/LM/Jun25/G4007/V8 7367/1
Answer all questions in the spaces provided.
1 The equation x2 + + =4x c 0 has non-real roots.
Find the range of possible values of c
Circle your answer.
[1 mark]
c<4 c≤4 c≥4 c>4
G/Jun25/7367/1
, 3
Do not write
outside the
box
2 The point A on the Argand diagram represents the complex number z
The point B is the reflection in the imaginary axis of the point A
Im
O Re
A B
Which complex number does the point B represent?
Circle your answer.
[1 mark]
1
−z z∗ −z∗
z
(02)
Turn over U
G/Jun25/7367/1
, 4
Do not write
outside the
box
3 Which one of the following expressions cannot be evaluated by l’Hôpital’s rule?
Circle your answer.
[1 mark]
x x2 tanhx ex−1
xlim→0 cosx xlim→0 sinx xlim→0 2x xlim→0ln (1+ x)
4 Which one of the following statements is always correct?
Tick () one box.
[1 mark]
sinh2x =(1− cosh2x)
sech2x + tanh2x =1
2 2 cosech x +coth x
=1
cosh2x =(cosh 2x −1)
Turn over for the next question
G/Jun25/7367/1
Candid
Centre ate
number number
Surname _________________________________________________________________________
Forename(s) _________________________________________________________________________
Candidate signature _________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS For Examiner’s Use
Paper 1 Question Mark
1
Thursday 22 May 2025 Afternoon Time allowed:
2 2 hours
Materials
3
l You must have the AQA Formulae and statistical tables booklet for
A-level Mathematics and A-level Further Mathematics. l You should have a 4
graphical or scientific calculator that meets the requirements of the specification.
5
Instructions 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. l Answer all questions. 6
l 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 this 7
book. Write the question number against your answer(s). l Do not write outside
the box around each page or on blank pages. l Show all necessary working; 8
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. 9
Information l The marks for questions are shown in brackets. l The maximum 10
mark for this paper is 100.
11
Advice
l Unless stated otherwise, you may quote formulae, without proof, from the 12
booklet. l You do not necessarily need to use all the space provided.
13
14
15
16
17
18
TOTAL
, 2
Do not write
outside the
box
(JUN257367101) G/LM/Jun25/G4007/V8 7367/1
Answer all questions in the spaces provided.
1 The equation x2 + + =4x c 0 has non-real roots.
Find the range of possible values of c
Circle your answer.
[1 mark]
c<4 c≤4 c≥4 c>4
G/Jun25/7367/1
, 3
Do not write
outside the
box
2 The point A on the Argand diagram represents the complex number z
The point B is the reflection in the imaginary axis of the point A
Im
O Re
A B
Which complex number does the point B represent?
Circle your answer.
[1 mark]
1
−z z∗ −z∗
z
(02)
Turn over U
G/Jun25/7367/1
, 4
Do not write
outside the
box
3 Which one of the following expressions cannot be evaluated by l’Hôpital’s rule?
Circle your answer.
[1 mark]
x x2 tanhx ex−1
xlim→0 cosx xlim→0 sinx xlim→0 2x xlim→0ln (1+ x)
4 Which one of the following statements is always correct?
Tick () one box.
[1 mark]
sinh2x =(1− cosh2x)
sech2x + tanh2x =1
2 2 cosech x +coth x
=1
cosh2x =(cosh 2x −1)
Turn over for the next question
G/Jun25/7367/1
