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 1
Thursday 21 May 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
3
Instructions 4
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.
5
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
If you require extra space for your answer(s), use the lined pages at the end 8
of this book. Write the question number against your answer(s).
9
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost. 10
l Do all rough work in this book. Cross through any work that you do not want 11
to be marked. 12
13
Information
14
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof,
18
from the booklet.
l You do not necessarily need to use all the space provided. TOTAL
(JUN267367101)
7367/1
for more:
G/LM/Jun26/G4008/V6
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The vectors a and b are defined by
2 1–p
a = p b = 4
3 1
It is given that a • b = 0
Find the value of p
Circle your answer.
[1 mark]
– 5 – 5 5 5
2 3 3 2
2 The matrix A is defined by
– √3 1
2 2
A=
– 1 – √3
2 2
The matrix A represents an anticlockwise rotation through an angle θ radians.
Find the value of θ
Circle your answer.
[1 mark]
π 5π 7π 11π
6 6 6 6
(02) for more:
G/Jun26/7367/1
, 3
Do not write
outside the
3 Find the integrating factor which could be used to solve the differential equation box
dy 3y
+ = x2 + 5
dx x
Circle your answer.
[1 mark]
3 3
3In x x 3 e x x
a + bi
4 Which one of the following expressions is equivalent to , where a and b are
2i
real numbers?
Circle your answer.
[1 mark]
– b – a i – b + a i b – a i b + a i
2 2 2 2 2 2 2 2
Turn over for the next question
Turn over U
(03) for more:
G/Jun26/7367/1
, 4
Do not write
outside the
5 The complex number z satisfies both box
0 ≤ arg (z) ≤ tan–1 (2)
and
│ z│ ≤ 2
The region R is the locus of z
Sketch and shade the region R on the Argand diagram in Figure 1
[3 marks]
Figure 1
Im
3
2
1
–3 –2 –1 0 1 2 3 Re
–1
–2
–3
(04) for more:
G/Jun26/7367/1
Centre number Candidate number
Surname __________________________________________________________________________
Forename(s) __________________________________________________________________________
Candidate signature __________________________________________________________________________
I declare this is my own work.
A-level
FURTHER MATHEMATICS
Paper 1
Thursday 21 May 2026 Afternoon Time allowed: 2 hours
Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
3
Instructions 4
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.
5
l Answer all questions. 6
l You must answer each question in the space provided for that question. 7
If you require extra space for your answer(s), use the lined pages at the end 8
of this book. Write the question number against your answer(s).
9
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost. 10
l Do all rough work in this book. Cross through any work that you do not want 11
to be marked. 12
13
Information
14
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100. 15
16
Advice 17
l Unless stated otherwise, you may quote formulae, without proof,
18
from the booklet.
l You do not necessarily need to use all the space provided. TOTAL
(JUN267367101)
7367/1
for more:
G/LM/Jun26/G4008/V6
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
1 The vectors a and b are defined by
2 1–p
a = p b = 4
3 1
It is given that a • b = 0
Find the value of p
Circle your answer.
[1 mark]
– 5 – 5 5 5
2 3 3 2
2 The matrix A is defined by
– √3 1
2 2
A=
– 1 – √3
2 2
The matrix A represents an anticlockwise rotation through an angle θ radians.
Find the value of θ
Circle your answer.
[1 mark]
π 5π 7π 11π
6 6 6 6
(02) for more:
G/Jun26/7367/1
, 3
Do not write
outside the
3 Find the integrating factor which could be used to solve the differential equation box
dy 3y
+ = x2 + 5
dx x
Circle your answer.
[1 mark]
3 3
3In x x 3 e x x
a + bi
4 Which one of the following expressions is equivalent to , where a and b are
2i
real numbers?
Circle your answer.
[1 mark]
– b – a i – b + a i b – a i b + a i
2 2 2 2 2 2 2 2
Turn over for the next question
Turn over U
(03) for more:
G/Jun26/7367/1
, 4
Do not write
outside the
5 The complex number z satisfies both box
0 ≤ arg (z) ≤ tan–1 (2)
and
│ z│ ≤ 2
The region R is the locus of z
Sketch and shade the region R on the Argand diagram in Figure 1
[3 marks]
Figure 1
Im
3
2
1
–3 –2 –1 0 1 2 3 Re
–1
–2
–3
(04) for more:
G/Jun26/7367/1
