Exam (elaborations)
Alevel edexecl pure math 2023 June paper 2
- Course
- Institution
Alevel edexecl pure math 2023 June paper 2 (with answer)
[Show more]
Seller
Follow
launelson833
Content preview
Stuvia.co.uk - The Marketplace for Revision Notes & Study GuidesPlease check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
Tuesday 13 June 2023
Afternoon (Time: 2 hours) Paper
reference 9MA0/02
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator allowed by Pearson regulations. Calculators
must not have the facility for symbolic algebra manipulation, differentiation
and integration, or have retrievable mathematical formulae stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• otherwise stated.
may not gain full credit.
Inexact answers should be given to three significant figures unless
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• The
are 15 questions in this question paper. The total mark for this paper is 100.
marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P72805A
©2023 Pearson Education Ltd. *P72805A0148*
Downloaded by: launelson833 | launelson833@yahoo.com.hk Want to earn £756
Distribution of this document is illegal extra per year?
N:1/1/1/
, Stuvia.co.uk - The Marketplace for Revision Notes & Study Guides
1.
f (x) = x3 + 2x2 – 8x + 5
(a) Find f ′′(x)
(2)
(b) (i) Solve f ′′(x) = 0
(ii) Hence find the range of values of x for which f (x) is concave.
(2)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Downloaded by: launelson833 | launelson833@yahoo.com.hk Want to earn £756
Distribution of this document is illegal extra per year?
2
, Stuvia.co.uk - The Marketplace for Revision Notes & Study Guides
Question 1 continued
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
(Total for Question 1 is 4 marks)
Downloaded by: launelson833 | launelson833@yahoo.com.hk Want to earn £756
Distribution of this document is illegal extra per year?
3
, Stuvia.co.uk - The Marketplace for Revision Notes & Study Guides
2. A sequence u1, u2, u3 ... is defined by
u1 = 35
⎛ nπ ⎞
un +1 = un + 7 cos ⎜ ⎟ − 5(−1) n
⎝ 2 ⎠
(a) (i) Show that u2 = 40
(ii) Find the value of u3 and the value of u4
(3)
Given that the sequence is periodic with order 4
(b) (i) write down the value of u5
25
(ii) find the value of "u
r !1
r
(3)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
___________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
Downloaded by: launelson833 | launelson833@yahoo.com.hk Want to earn £756
Distribution of this document is illegal extra per year?
4
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 launelson833. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $4.39. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
72349 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now