Candidate signature _________________________________________________________________________
I declare this is my own work.
AS
FURTHER MATHEMATICS
Paper 1
Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes
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Do not write
outside the
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Materials For Examiner’s Use
You must have the AQA Formulae and statistical tables booklet for A‑level
Mathematics and A‑level Further Mathematics. l You should have a graphical or scientific Question Mark
calculator that meets the requirements of the specification. 1
Instructions l Use black ink or black ball‑point pen. Pencil should only be used for 2
drawing. l Fill in the boxes at the top of this page. l Answer all questions.
You must answer each question in the space provided for that question. If you 3
require 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 4
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
5
marked.
6
Information l The marks for questions are shown in brackets. l The maximum mark for
this paper is 80.
7
Advice
8
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.
9
10
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17
TOTAL
(JUN247366101) G/LM/Jun24/G4001/V5 7366/1
Answer all questions in the spaces provided.
1
Express cosh2 x in terms of sinh x Circle your
answer.
[1 mark]
G/Jun24/7366/1
, 3
Do not write
outside the
box
1 + sinh2 x 1 – sinh2 x sinh2 x – 1 –1 – sinh2 x
2 The function f is defined by
f(x) = 2x + 3 0≤x≤5
The region R is enclosed by y = f(x), x = 5, the x‑axis and the y‑axis.
The region R is rotated through 2π radians about the x‑axis.
Give an expression for the volume of the solid formed.
Tick ( ) one box.
[1 mark]
3) dx
π 2
dx
3) dx
2 dx
(02)
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