AQA A Level Mathematics Paper 3 2026 Past Paper - Question Paper PDF

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A-level
MATHEMATICS
Paper 3


Thursday 18 June 2026 Afternoon Time allowed: 2 hours
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.

Instructions
l Use black ink or black ball-point pen. Pencil should only be used for drawing.
l Fill in the boxes at the top of this page.
l Answer all questions.
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
this book. Write the question number against your answer(s).
l Do not write outside the box around each page or on blank pages.
l Show all necessary working; otherwise marks for method may be lost.
l Do all rough work in this book. Cross through any work that you do not want
to be marked

Information
l The marks for questions are shown in brackets.
l The maximum mark for this paper is 100.


Advice
l Unless stated otherwise, you may quote formulae, without proof, from
the booklet.
l You do not necessarily need to use all the space provided.
TOTAL




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, 2
Do not write
outside the
Section A box



Answer all questions in the spaces provided.



1 A student claims that the product of two numbers is always at least as great as each of
the two numbers.

The student gives an example:

3× 4 =
12

12 ≥ 3 and 12 ≥ 4

Determine which one of the options below shows that the student’s claim is not true.

Circle your answer.
[1 mark]


−1× −1 −1× 1 −1× 0 1× 1




2 Given that n is a positive integer, find nC1

Circle your answer.
[1 mark]


n! n–1 n n+1




(02)
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, 3
Do not write
outside the
box
3 It is given that y = sin x

d2 y
Find an expression for
d x2
Circle your answer.
[1 mark]


− cos x − sin x cos x sin x




Turn over for the next question




Turn over U


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, 4
Do not write
outside the
box
4 The graph with equation y = 2 x 2 − 3 x − 2 is shown on the diagram.


y


3


2


1



–1 0 1 2 3 x

–1


–2


–3




Shade the region defined by the inequalities

y ≥ 2 x 2 − 3 x − 2 and y < x − 2
[3 marks]

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