2025 AQA A-LEVEL FURTHER MATHEMATICS Paper 2
Question Paper & Mark Scheme (Merged) Friday 6 June 2025
[VERIFIED]
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
Friday 6 June 2025 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. Question Mark
You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
Instructions 3
Use black ink or black ball‑ point pen. Pencil should only be used for drawing. 4
Fill in the boxes at the top of this page. 5
Answer all questions.
6
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 7
of this book. Write the question number against your answer(s). 8
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
10
Do all rough work in this book. Cross through any work that you do not want
to be marked. 11
12
Information 13
The marks for questions are shown in brackets.
The maximum mark for this paper is 100.
14
15
Advice 16
Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet.
You do not necessarily need to use all the space provided. TOTAL
G/LM/Jun25/G4007/V5 7367/2
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
a c
1 The vectors and are perpendicular.
b 1
Which one of the following statements must be true?
Tick () one box.
[1 mark]
a = bc
b = ac
a = – bc
b = – ac
2 The quadrilateral Q1 has an area of 5 cm2
4 1
The matrix
1
represents the transformation T
2
The transformation T acts on Q1 to give the quadrilateral Q2
Find the area of Q2
Circle your answer.
[1 mark]
5 cm2 10 cm2 30 cm2 180 cm2
G/Jun25/7367/2
, 3
Do not write
outside the
sin
d 1
x 2cos1 x
box
3 Find
dx
Circle your answer.
[1 mark]
3 1 1 3
1 x2 1 x2 1 x2 1 x2
4 The function f is defined by f (x) 16 x2 x ℝ
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
Turn over U
G/Jun25/7367/2
, 4
Do not write
outside the
The complex number z 3 4 i 5 ci , where c is an integer.
box
5
It is given that Re (z) 7
Find the value of c
[2 marks]
G/Jun25/7367/2
Question Paper & Mark Scheme (Merged) Friday 6 June 2025
[VERIFIED]
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
Friday 6 June 2025 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. Question Mark
You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
Instructions 3
Use black ink or black ball‑ point pen. Pencil should only be used for drawing. 4
Fill in the boxes at the top of this page. 5
Answer all questions.
6
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 7
of this book. Write the question number against your answer(s). 8
Do not write outside the box around each page or on blank pages. 9
Show all necessary working; otherwise marks for method may be lost.
10
Do all rough work in this book. Cross through any work that you do not want
to be marked. 11
12
Information 13
The marks for questions are shown in brackets.
The maximum mark for this paper is 100.
14
15
Advice 16
Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet.
You do not necessarily need to use all the space provided. TOTAL
G/LM/Jun25/G4007/V5 7367/2
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
a c
1 The vectors and are perpendicular.
b 1
Which one of the following statements must be true?
Tick () one box.
[1 mark]
a = bc
b = ac
a = – bc
b = – ac
2 The quadrilateral Q1 has an area of 5 cm2
4 1
The matrix
1
represents the transformation T
2
The transformation T acts on Q1 to give the quadrilateral Q2
Find the area of Q2
Circle your answer.
[1 mark]
5 cm2 10 cm2 30 cm2 180 cm2
G/Jun25/7367/2
, 3
Do not write
outside the
sin
d 1
x 2cos1 x
box
3 Find
dx
Circle your answer.
[1 mark]
3 1 1 3
1 x2 1 x2 1 x2 1 x2
4 The function f is defined by f (x) 16 x2 x ℝ
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
Turn over U
G/Jun25/7367/2
, 4
Do not write
outside the
The complex number z 3 4 i 5 ci , where c is an integer.
box
5
It is given that Re (z) 7
Find the value of c
[2 marks]
G/Jun25/7367/2
