AQA AS MATHEMATICS Paper 1 Thursday 18 May 2023

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AS
MATHEMATICS
Paper 1


Thursday 18 May 2023 Afternoon Time allowed: 1 hour 30 minutes
Materials For Examiner’s Use
l You must have the AQA Formulae for A‑level Mathematics booklet.
l You should have a graphical or scientific calculator that meets the Question Mark
requirements of the specification. 1
2
Instructions
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 3
l Fill in the boxes at the top of this page. 4
l Answer all questions. 5
l You must answer each question in the space provided for that question. 6
l If you need extra space for your answer(s), use the lined pages at the end of
this book. Write the question number against your answer(s). 7
l Do not write outside the box around each page or on blank pages. 8
l Show all necessary working; otherwise marks for method may be lost. 9
l Do all rough work in this book. Cross through any work that you do not want
10
to be marked.
11
Information 12
l The marks for questions are shown in brackets. 13
l The maximum mark for this paper is 80. 14
Advice 15
l Unless stated otherwise, you may quote formulae, without proof, from the 16
booklet. 17
l You do not necessarily need to use all the space provided. 18
TOTAL




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2
Do not write
outside the
Section A box



Answer all questions in the spaces provided.




1 At a point P on a curve, the gradient of the tangent to the curve is 10

State the gradient of the normal to the curve at P

Circle your answer.
[1 mark]

10 0.1 0.1 10




  3
2x
2 Identify the expression below which is equivalent to
5

Circle your answer.
[1 mark]

8x3 125 x 3 125 8
125 8 8x3 125 x 3




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3
Do not write
outside the
20 box
3 The coefficient of x 2 in the binomial expansion of (1 þ ax)6 is
3

Find the two possible values of a
[3 marks]

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Turn over for the next question




Turn over
s




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