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 2 Question Mark
1
Friday 6 June 2025 Afternoon Time allowed: 2 hours
2
Materials
l You must have the AQA Formulae and statistical tables booklet for 3
A-level Mathematics and A-level Further Mathematics. l You should have a
graphical or scientific calculator that meets the requirements of the specification. 4
Instructions l Use black ink or black ball-point pen. P encil should only be used 5
for drawing. l Fill in the boxes at the top of this page. l Answer all questions.
l You must answer each question in the space provided for that question. If 6
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). l Do not write outside 7
the box around each page or on blank pages. l Show all necessary working;
otherwise marks for method may be lost. l Do all rough work in this book. Cross 8
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
mark for this paper is 100. 10
Advice 11
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
TOTAL
, 2
Do not write
outside the
box
(JUN257367201) G/LM/Jun25/G4007/V5 7367/2
Answer all questions in the spaces provided.
1 a c
The vectors and are perpendicular.
1
b
Which one of the following statements must be true?
Tick () one box.
[1 mark]
a = bc
b = ac
a = –bc
b = –ac
G/Jun25/7367/2
, 3
Do not write
outside the
box
2 The quadrilateral Q has an area of 5 cm2
1
4 −1
The matrix represents the transformation T 2 1
The transformation T acts on Q to give the quadrilateral Q2
1
Find the area of Q
2
Circle your answer.
[1 mark]
5 cm2 10 cm2 30 cm2 180 cm2
(02)
3 d
Find (sin−1x −2cos−1x )
dx
Circle your answer.
[1 mark]
−3 −1 1 3
1−x2 1−x2 1−x2 1−x2
Turn over U
G/Jun25/7367/2
, 4
Do not write
outside the
box
4 The function f is defined by f ( )x = −16 x2 (x∈)
On which of the following intervals is the mean value of f the greatest?
Tick () one box.
[1 mark]
0≤x≤1
0≤x≤2
0≤x≤3
0≤x≤4
Turn over for the next question
(03)
G/Jun25/7367/2
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 2 Question Mark
1
Friday 6 June 2025 Afternoon Time allowed: 2 hours
2
Materials
l You must have the AQA Formulae and statistical tables booklet for 3
A-level Mathematics and A-level Further Mathematics. l You should have a
graphical or scientific calculator that meets the requirements of the specification. 4
Instructions l Use black ink or black ball-point pen. P encil should only be used 5
for drawing. l Fill in the boxes at the top of this page. l Answer all questions.
l You must answer each question in the space provided for that question. If 6
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). l Do not write outside 7
the box around each page or on blank pages. l Show all necessary working;
otherwise marks for method may be lost. l Do all rough work in this book. Cross 8
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
mark for this paper is 100. 10
Advice 11
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
TOTAL
, 2
Do not write
outside the
box
(JUN257367201) G/LM/Jun25/G4007/V5 7367/2
Answer all questions in the spaces provided.
1 a c
The vectors and are perpendicular.
1
b
Which one of the following statements must be true?
Tick () one box.
[1 mark]
a = bc
b = ac
a = –bc
b = –ac
G/Jun25/7367/2
, 3
Do not write
outside the
box
2 The quadrilateral Q has an area of 5 cm2
1
4 −1
The matrix represents the transformation T 2 1
The transformation T acts on Q to give the quadrilateral Q2
1
Find the area of Q
2
Circle your answer.
[1 mark]
5 cm2 10 cm2 30 cm2 180 cm2
(02)
3 d
Find (sin−1x −2cos−1x )
dx
Circle your answer.
[1 mark]
−3 −1 1 3
1−x2 1−x2 1−x2 1−x2
Turn over U
G/Jun25/7367/2
, 4
Do not write
outside the
box
4 The function f is defined by f ( )x = −16 x2 (x∈)
On which of the following intervals is the mean value of f the greatest?
Tick () one box.
[1 mark]
0≤x≤1
0≤x≤2
0≤x≤3
0≤x≤4
Turn over for the next question
(03)
G/Jun25/7367/2
