Please write clearly in block capitals.
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
MATHEMATICS
Paper 1
Thursday 15 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
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 need extra space for your answer(s), use the lined pages at the end of 7
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 11
to be marked.
12
Information 13
The marks for questions are shown in brackets. 14
The maximum mark for this paper is 80. 15
16
Advice
17
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 18
You do not necessarily need to use all the space provided. 19
20
21
TOTAL
G/LM/Jun25/G4006/V6 7356/1
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Identify the expression that is equivalent to tan x
Circle your answer.
[1 mark]
cos x sin x
sin2x + cos2x sin2x – cos2x
sin x cos x
1
2 Find the value of log b 2
b
Circle your answer.
[1 mark]
1 1
–2 – 2
2 2
G/Jun25/7356/1
, 3
Do not write
outside the
box
3 The polynomial p(x) is given by
p(x) = 2x3 – ax2 + 6x + 2a
It is given that (x – 2) is a factor of p(x)
Find the value of a by using the factor theorem.
[3 marks]
Turn over for the next question
Turn over U
G/Jun25/7356/1
, 4
Do not write
outside the
box
4 Solve the equation
2tan 3θ – 3 = 0
for 0° ≤ θ ≤ 180°
Give your answers to the nearest degree.
[3 marks]
5 Jayven claims that for two real numbers a and b
a
if a > b , then it must be true that >1
b
By using a counter example, show that Jayven is not correct.
[2 marks]
G/Jun25/7356/1
Centre number Candidate number
Surname
Forename(s)
Candidate signature
I declare this is my own work.
AS
MATHEMATICS
Paper 1
Thursday 15 May 2025 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
You must have the AQA Formulae for A‑ level Mathematics booklet. Question Mark
You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
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 need extra space for your answer(s), use the lined pages at the end of 7
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 11
to be marked.
12
Information 13
The marks for questions are shown in brackets. 14
The maximum mark for this paper is 80. 15
16
Advice
17
Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 18
You do not necessarily need to use all the space provided. 19
20
21
TOTAL
G/LM/Jun25/G4006/V6 7356/1
, 2
Do not write
outside the
box
Section A
Answer all questions in the spaces provided.
1 Identify the expression that is equivalent to tan x
Circle your answer.
[1 mark]
cos x sin x
sin2x + cos2x sin2x – cos2x
sin x cos x
1
2 Find the value of log b 2
b
Circle your answer.
[1 mark]
1 1
–2 – 2
2 2
G/Jun25/7356/1
, 3
Do not write
outside the
box
3 The polynomial p(x) is given by
p(x) = 2x3 – ax2 + 6x + 2a
It is given that (x – 2) is a factor of p(x)
Find the value of a by using the factor theorem.
[3 marks]
Turn over for the next question
Turn over U
G/Jun25/7356/1
, 4
Do not write
outside the
box
4 Solve the equation
2tan 3θ – 3 = 0
for 0° ≤ θ ≤ 180°
Give your answers to the nearest degree.
[3 marks]
5 Jayven claims that for two real numbers a and b
a
if a > b , then it must be true that >1
b
By using a counter example, show that Jayven is not correct.
[2 marks]
G/Jun25/7356/1
