AQA AS Maths 2025 paper 1 Question paper

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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



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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




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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]

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Turn over for the next question




Turn over U


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4 Solve the equation box


2tan 3θ – 3 = 0
for 0° ≤ θ ≤ 180°

Give your answers to the nearest degree.
[3 marks]

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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]

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