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
l You must have the AQA Formulae for A‑level Mathematics booklet. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 4
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.
l 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
l Do not write outside the box around each page or on blank pages. 9
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
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 80. 15
16
Advice
17
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 18
l You do not necessarily need to use all the space provided. 19
20
21
TOTAL
(JUN257356101)
G/LM/Jun25/G4006/V6 7356/1
, 2
Do not write
outside the
Section A box
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
sin 2 x + cos2 x sin 2 x – cos2 x
sin x cos x
1
2 Find the value of logb
b2
Circle your answer.
[1 mark]
1 1
– 2 – 2
2 2
(02)
G/Jun25/7356/1
, 3
Do not write
outside the
3 The polynomial p(x) is given by box
p(x) = 2 x 3 – ax 2 + 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
(03)
G/Jun25/7356/1
, 4
Do not write
outside the
4 Solve the equation box
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]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
(04)
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
l You must have the AQA Formulae for A‑level Mathematics booklet. Question Mark
l You should have a graphical or scientific calculator that meets the
requirements of the specification. 1
2
Instructions 3
l Use black ink or black ball-point pen. Pencil should only be used for drawing. 4
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.
l 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
l Do not write outside the box around each page or on blank pages. 9
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
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 80. 15
16
Advice
17
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet. 18
l You do not necessarily need to use all the space provided. 19
20
21
TOTAL
(JUN257356101)
G/LM/Jun25/G4006/V6 7356/1
, 2
Do not write
outside the
Section A box
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
sin 2 x + cos2 x sin 2 x – cos2 x
sin x cos x
1
2 Find the value of logb
b2
Circle your answer.
[1 mark]
1 1
– 2 – 2
2 2
(02)
G/Jun25/7356/1
, 3
Do not write
outside the
3 The polynomial p(x) is given by box
p(x) = 2 x 3 – ax 2 + 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
(03)
G/Jun25/7356/1
, 4
Do not write
outside the
4 Solve the equation box
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]
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
_______________________________________________________________________________________
(04)
G/Jun25/7356/1
