2025 AQA AS MATHEMATICS 7356/1
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
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
, 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
tyrionpapers.com
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
tyrionpapers.com
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]
tyrionpapers.com
G/Jun25/7356/1
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
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
, 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
tyrionpapers.com
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
tyrionpapers.com
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]
tyrionpapers.com
G/Jun25/7356/1
