AQA
A-level
FURTHER MATHEMATICS
7367/2
Paper 2
Version: 1.0 Final
PB/KL/Jun23/E4 7367/2
A-level
FURTHER MATHEMATICS
Paper 2
Time allowed: 2
... [Show More] hours
Materials
l 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 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.
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).
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.
Please write clearly in block capitals.
Centre number Candidate number
Surname ________________________________________________________________________
Forename(s) ________________________________________________________________________
Candidate signature ________________________________________________________________________
For Examiner’s Use
Question Mark
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
TOTAL
I declare this is my own work.
2
Answer all questions in the spaces provided.
1 Given that y ¼ sin x þ sinh x , find d2y
dx2 þ y
Circle your answer.
[1 mark]
2 sin x 2 sin x 2 sinh x 2 sinh x
2 Which one of the expressions below is not equal to zero?
Circle your answer.
[1 mark]
lim
x! 1(x2ex ) lim
x!0
(x5 ln x) lim
x! 1
ex
x5
lim
x!0
(x3ex )
Jun23/7367/2
Do not write
outside the
box
(02)
3
3 The determinant A ¼
111
202
321
Which one of the determinants below has a value which is not equal to the value of A?
Tick (3) one box.
[1 mark]
313
202
321
123
102
121
222
101
321
111
321
202
4 It is given that f (x) ¼ cosh1 (x 3)
Which of the sets listed below is the greatest possible domain of the function f ?
Circle your answer.
[1 mark]
fx : x 4g fx : x 3g fx : x 1g fx : x 0g
Do not write
outside the
box
Jun23/7367/2
Turn over s
(03)
4
5 Josh and Zoe are solving the following mathematics problem:
The curve C1 has equation
x2
16 y2
9 ¼ 1
The matrix M ¼ 0 1
1 0 " # maps C1 onto C2
Find the equations of the asymptotes of C2
Josh says that to solve this problem you must first carry out the transformation on C1
to find C2, and then find the asymptotes of C2
Zoe says that you will get the same answer if you first find the asymptotes of C1, and
then carry out the transformation on these asymptotes to obtain the asymptotes of C2
Show that Zoe is correct.
[5 marks]
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Do not write
outside the
box
Jun23/7367/2
(04)
5
6 (a) Express 5 5i in the form reiy, where [Show Less]