AQA-7366-1-FURTHER MATHEMATICS QUESTION PAPER 1-AS LEVEL-13May24-PM
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Course
AQA FURTHER MATHEMATICS
Institution
AQA FURTHER MATHEMATICS
AQA-7366-1-FURTHER MATHEMATICS QUESTION PAPER 1-AS LEVEL-13May24-PM.
2
Do not write
outside the
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(02) G/Jun24/7366/1
Answer all questions in the spaces provided.
1 Express cosh2
x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh2
x 1 – sinh2
x sinh2
x – 1 –1 – s...
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Forename(s) _________________________________________________________________________
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Candidate signature _________________________________________________________________________
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I declare this is my own work.
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AS
EM
FURTHER MATHEMATICS
Paper 1
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Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes
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Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
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Question Mark
A‑level Mathematics and A‑level Further Mathematics.
l You should have a graphical or scientific calculator that meets the 1
requirements of the specification. 2
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3
Instructions
4
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. 5
l Answer all questions. 6
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l You must answer each question in the space provided for that question.
7
If you 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). 8
l Do not write outside the box around each page or on blank pages. 9
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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
to be marked. 11
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12
Information 13
l The marks for questions are shown in brackets. 14
l The maximum mark for this paper is 80.
15
Advice 16
l Unless stated otherwise, you may quote formulae, without proof, 17
from the booklet.
l You do not necessarily need to use all the space provided. TOTAL
G/LM/Jun24/G4001/V5 7366/1
Page 1 of 32
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Answer all questions in the spaces provided.
1 Express cosh 2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh 2 x 1 – sinh 2 x sinh 2 x – 1 –1 – sinh 2 x
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C
TI
2 The function f is defined by
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f (x) = 2 x + 3 0≤x≤5
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The region R is enclosed by y = f (x), x = 5, the x‑axis and the y‑axis.
The region R is rotated through 2 π radians about the x‑axis.
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Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
A
5
∫
π (2 x + 3) dx
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0
5
∫
π (2 x + 3) 2 dx
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0
5
2π
∫ (2x + 3) dx
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0
5
2π
∫ (2x + 3) dx
2
R
0
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Page 2 of 32
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3 The matrix A is such that det(A) = 2
Determine the value of det(A–1)
Circle your answer.
[1 mark]
–2 –1 1
2
2 2
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4 The line L has vector equation
[] []
4 –9
A
r = –7 + λ 1
0 3
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Give the equation of L in Cartesian form.
Tick () one box.
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[1 mark]
x+4 y–7 z
= =
–9 1 3
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x–4 y+7 z
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= =
–9 1 3
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x+9 y–1
= ,z=3
4 –7
x–9 y+1
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= ,z=3
4 –7
R
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Turn over U
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G/Jun24/7366/1
Page 3 of 32
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5 The vectors a and b are given by
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