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Please 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*
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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)
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Question 1 continued
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(Total for Question 1 is 4 marks)
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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)
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Please 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 | 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)
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Question 1 continued
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DO NOT WRITE IN THIS AREA
DO NOT WRITE IN THIS AREA
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(Total for Question 1 is 4 marks)
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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)
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