Exam (elaborations)

AS FURTHER MATHEMATICS Paper 1

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AS FURTHER MATHEMATICS Paper 1

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AS FURTHER MATHEMATICS Paper 1

AS FURTHER MATHEMATICS Paper 1 Monday 13 May 2024 Afternoon Time allowed: 1 hour 30 minutes Materials  You must have the AQA Formulae and statistical tables booklet for A‑level Mathematics and A‑level Further Mathematics.  You should have a graphical or scientific calculator that ...

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Uploaded on September 9, 2024
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as further mathematics paper 1 monday 13 may 2024

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AS
FURTHER MATHEMATICS
Paper 1

Monday 13 May 2024 Afternoon Time allowed: 1 hour 30
minutes
Materials For Examiner’s Use
 You must have the AQA Formulae and statistical tables Question Mark
booklet for A-level Mathematics and A-level Further
Mathematics. 1
 You should have a graphical or scientific calculator that 2
meets the requirements of the specification. 3
4
Instructions
5
 Use black ink or black ball-point pen. Pencil should only be used for drawing.
 Fill in the boxes at the top of this page. 6
 Answer all questions. 7
 You must answer each question in the space provided for that question. 8
If you require extra space for your answer(s), use the lined pages at
9
the end of this book. Write the question number against your
answer(s). 10
 Do not write outside the box around each page or on blank pages. 11
 Show all necessary working; otherwise marks for method may be lost. 12
 Do all rough work in this book. Cross through any work that you do
13
not want to be marked.
14
Information 15
 The marks for questions are shown in brackets. 16
 The maximum mark for this paper is 80.
17

Advice TOTAL
 Unless stated otherwise, you may quote formulae,
Paper1 maths

,Paper1 maths

without proof, from the booklet.
 You do not necessarily need to use all the space provided.

G/LM/Jun24/G4001/V5
7366/1

Paper1 maths

, 2
Do not write
outside the
Answer all questions in the spaces provided. box

1 Express cosh2 x in terms of sinh x

Circle your answer.
[1 mark]
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 [1 mark]

formed. Tick () one box.
5


π (2x + 3) dx
0


5
π (2x + 3)2 dx
0

2π
 (2x + 3) dx
5

0

2π
 (2x + 3)
5
2
dx
0

G/
Jun24/7366/1

, 3
Do not write
outside the
box
3 The matrix A is such that det(A)
=2
–
Determine the value of det(A 1)

Circle your answer. [1 mark]

1
1 2 2
–2 –
2

4 The line L has vector
equation

[
4

[ ]
–9

r= –
] 7
+λ 1
3

Give the equation of L in Cartesian form.

Tick () one box.
[1 mark]

x+4 y–7 z
–9 = 1 = 3

x–4 y+7 z
= =3
–9 1

y–
1x + 9 = ,z=3
4 –7

x1 – 9 y+
= ,z=3
4 –7

G/
Jun24/7366/1

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