2025 AQA AS FURTHER MATHEMATICS 7366/1
Paper 1
Question paper and Marking scheme Merged
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 12 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
⚫ You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
3
Instructions
⚫ 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.
7
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). 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.
14
⚫ The maximum mark for this paper is 80.
15
Advice 16
⚫ Unless stated otherwise, you may quote formulae, without proof, G/LM/Jun25/G4002/V5
from the booklet. TOTAL
⚫ You do not necessarily need to use all the space provided.
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Calculate the product
(3 + i)(2 – i)
Circle your answer.
[1 mark]
5–i 5+i 7–i 7+i
2 The complex number 3 + 5i is a root of the quadratic equation
z2 + az + b = 0
where a and b are real constants.
Find the other root of the equation.
Circle your answer.
[1 mark]
3 – 5i 3 + 5i 5 – 3i 5 + 3i
tyrionpapers.com
G/Jun25/7366/1
, 3
Do not write
outside the
box
3 Find the equations of the asymptotes of the curve with equation
(x – 1)(x + 2)
y = (x + 1)(x – 2)
Tick (✓) one box.
[1 mark]
x = 1, x = –2, y = 1
x = 1, x = –2, y = –1
x = –1, x = 2, y = 1
x = –1, x = 2, y = –1
4 Find the first two non‑zero terms of the Maclaurin series expansion of cos (2x)
Tick (✓) one box.
[1 mark]
1 – x2
1 – 2 x2
2 – x2
2 – 2x2
Turn over U
tyrionpapers.com
G/Jun25/7366/1
, 4
Do not write
outside the
box
5 The quartic equation
3 x 4 + x 2 – 5x – 11 = 0
has roots α, β, γ and δ
5 (a) Write down the value of αβγδ
[1 mark]
5 (b) Write down the value of αβγ + αβδ + αγδ + βγδ
[1 mark]
tyrionpapers.com
G/Jun25/7366/1
Paper 1
Question paper and Marking scheme Merged
Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 12 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
⚫ You must have the AQA Formulae and statistical tables booklet for
Question Mark
A‑level Mathematics and A‑level Further Mathematics.
⚫ You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
3
Instructions
⚫ 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.
7
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). 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.
14
⚫ The maximum mark for this paper is 80.
15
Advice 16
⚫ Unless stated otherwise, you may quote formulae, without proof, G/LM/Jun25/G4002/V5
from the booklet. TOTAL
⚫ You do not necessarily need to use all the space provided.
, 2
Do not write
outside the
box
Answer all questions in the spaces provided.
1 Calculate the product
(3 + i)(2 – i)
Circle your answer.
[1 mark]
5–i 5+i 7–i 7+i
2 The complex number 3 + 5i is a root of the quadratic equation
z2 + az + b = 0
where a and b are real constants.
Find the other root of the equation.
Circle your answer.
[1 mark]
3 – 5i 3 + 5i 5 – 3i 5 + 3i
tyrionpapers.com
G/Jun25/7366/1
, 3
Do not write
outside the
box
3 Find the equations of the asymptotes of the curve with equation
(x – 1)(x + 2)
y = (x + 1)(x – 2)
Tick (✓) one box.
[1 mark]
x = 1, x = –2, y = 1
x = 1, x = –2, y = –1
x = –1, x = 2, y = 1
x = –1, x = 2, y = –1
4 Find the first two non‑zero terms of the Maclaurin series expansion of cos (2x)
Tick (✓) one box.
[1 mark]
1 – x2
1 – 2 x2
2 – x2
2 – 2x2
Turn over U
tyrionpapers.com
G/Jun25/7366/1
, 4
Do not write
outside the
box
5 The quartic equation
3 x 4 + x 2 – 5x – 11 = 0
has roots α, β, γ and δ
5 (a) Write down the value of αβγδ
[1 mark]
5 (b) Write down the value of αβγ + αβδ + αγδ + βγδ
[1 mark]
tyrionpapers.com
G/Jun25/7366/1
