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AQA-7367-2-FURTHER MATHEMATICS QUESTION PAPER 2-A LEVEL-3Jun24-PM CA$19.59   Add to cart
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AQA-7367-2-FURTHER MATHEMATICS QUESTION PAPER 2-A LEVEL-3Jun24-PM
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AQA-7367-2-FURTHER MATHEMATICS QUESTION PAPER 2-A LEVEL-3Jun24-PM. Answer all questions in the spaces provided. 1 It is given that 2 1 3 5 λ –6 = 0 where λ is a constant. Find the value of λ Circle your answer. [1 mark] –28 –8 8 28 2 The movement of a particle is describ...

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Document information

  • October 29, 2024
  • 36
  • 2024/2025
  • Exam (elaborations)
  • Only questions

Subjects

  • 7367 2
  • aqa 7367 2 further mathematics question paper 2
  • aqa 7367 2 further mathematics
  • aqa further mathematics paper 2 a level

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  • AQA FURTHER MATHEMATICS
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000001



AQA
AQA



Please write clearly in block capitals.


Centre number Candidate number


Surname




S
_________________________________________________________________________

Forename(s)




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_________________________________________________________________________

Candidate signature _________________________________________________________________________




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I declare this is my own work.




A
A-level

EM
FURTHER MATHEMATICS
Paper 2
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Monday 3 June 2024 Afternoon Time allowed: 2 hours
A

Materials For Examiner’s Use
l You must have the AQA Formulae and statistical tables booklet for
Question Mark
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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
3
ER




Instructions 4
l Use black ink or black ball‑point pen. Pencil should only be used for drawing. 5
l Fill in the boxes at the top of this page.
6
l Answer all questions.
7
TH




l You must answer each question in the space provided for that question.
If you require extra space for your answer(s), use the lined pages at the end 8
of this book. Write the question number against your answer(s). 9
l Do not write outside the box around each page or on blank pages. 10
l Show all necessary working; otherwise marks for method may be lost. 11
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l Do all rough work in this book. Cross through any work that you do not want 12
to be marked. 13
FU




14
Information
l The marks for questions are shown in brackets. 15
l The maximum mark for this paper is 100. 16
17
Advice 18
l Unless stated otherwise, you may quote formulae, without proof, 19
from the booklet.
l You do not necessarily need to use all the space provided.
20
TOTAL




G/LM/Jun24/G4006/V7 7367/2
Page 1 of 36

,000002

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



1 It is given that

2 5
1 λ =0
3 –6

where λ is a constant.




S
Find the value of λ




C
Circle your answer.




TI
[1 mark]




A
–28 –8 8 28




2
EM
The movement of a particle is described by the simple harmonic equation
TH
..
x = – 25 x
..
where x metres is the displacement of the particle at time t seconds, and x m s–2 is
A

the acceleration of the particle.
M


The maximum displacement of the particle is 9 metres.

Find the maximum speed of the particle.
ER




Circle your answer.
[1 mark]

15 m s–1 45 m s–1 75 m s–1 135 m s–1
TH
R
FU




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G/Jun24/7367/2
Page 2 of 36

,000003

3
Do not write
outside the
box
3 The function g is defined by

g(x) = sech x (x ∈ ℝ)

Which one of the following is the range of g ?

Tick () one box.
[1 mark]

– ∞ < g(x) ≤ –1




S
C
– 1 ≤ g(x) < 0




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0 < g(x) ≤ 1




A
1 ≤ g(x) ≤ ∞




EM
TH
4 The function f is a quartic function with real coefficients.
A

The complex number 5i is a root of the equation f (x) = 0
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Which one of the following must be a factor of f (x)?
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Circle your answer.
[1 mark]

(x 2 – 25) (x 2 – 5) (x 2 + 5) (x 2 + 25)
TH
R
FU




Turn over U


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G/Jun24/7367/2
Page 3 of 36

, 000004

4
Do not write
outside the
box
5 The first four terms of the series S can be written as

S = (1 × 2) + (2 × 3) + (3 × 4) + (4 × 5) + ...


5 (a) Write an expression, using ∑ notation, for the sum of the first n terms of S [1 mark]

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S
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C
_____________________________________________________________________________________




TI
5 (b) Show that the sum of the first n terms of S is equal to




A
1
n (n + 1)(n + 2)
3
[2 marks]




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A

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G/Jun24/7367/2
Page 4 of 36

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