2025 AQA AS FURTHER MATHEMATICS Paper 1 Question
Paper & Mark Scheme (Merged) Monday 12 May 2025
[VERIFIED]
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,
from the booklet. TOTAL
You do not necessarily need to use all the space provided.
7 3 6 6/1
tyrionp ape rs. com
G/LM/Jun25/G4002/V5
, 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 & Mark Scheme (Merged) Monday 12 May 2025
[VERIFIED]
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,
from the booklet. TOTAL
You do not necessarily need to use all the space provided.
7 3 6 6/1
tyrionp ape rs. com
G/LM/Jun25/G4002/V5
, 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
