Exam (elaborations)
AQA A-level FURTHER MATHEMATICS Paper 1 May 2023
- Course
- Institution
AQA A-level FURTHER MATHEMATICS Paper 1 May 2023
[Show more]
Seller
Follow
maxwellmarkm
Reviews received
Content preview
AQAA-level FURTHER MATHEMATICS
62023
,AQA
A-level
FURTHER MATHEMATICS
Paper 1
Thursday 25 May 2023 Time allowed: 2 hours
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
meets the requirements of the specification.
Instructions
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.
Answer all questions.
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).
Do not write outside the box around each page or on blank pages.
Show all necessary working; otherwise marks for method may be lost.
Do all rough work in this book. Cross through any work that you do
not want to be marked.
Information
The marks for questions are shown in brackets.
The maximum mark for this paper is 100.
Advice
Unless stated otherwise, you may quote formulae, without
proof, from the booklet.
You do not necessarily need to use all the space provided.
7367/1
2
, 2
Do not write
outside the
box
Answer all questions in the spaces
provided.
1 Find the number of solutions of the equation tanh x ¼
cosh x Circle your answer. [1
mark]
0 1 2 3
2 The diagram below shows a locus on an Argand diagram.
Im
O 2 Re
–3
Which of the equations below represents the locus shown above?
Circle your answer.
[1 mark]
jz — 2 þ 3 i j¼ 2 jz þ 2 — 3 i j¼ 2 jz — 2 þ 3 i j¼ 4 jz þ 2 — 3 i j¼ 4
(02)
Jun23/7367/
1
, 3
Do not write
1 2 outside the
3 The matrix A ¼ box
0 1 represents a
transformation.
Which one of the points below is an invariant point under this transformation?
Circle your answer.
[1 mark]
(1, 1) (0, 2) (3, 0) (2, 1)
4 The solution of a second order differential equation
is f (t) The differential equation models heavy
damping.
Which one of the statements below could be true?
Tick (3) one box.
[1 mark]
f (t) ¼ 2e—t cos (3t) þ 5e—t sin (3t)
f (t) ¼ 3e—t þ 4te—t
f (t) ¼ 7e—t þ 2e—2t
f (t) ¼ 8e—t cos (3t — 0:1)
Turn over for the next question
(03)
Jun23/7367/
1
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller maxwellmarkm. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $15.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75632 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now