Candidate surname Other names
Centre Candidate
Number Number
Pearson Edexcel Level 3
GCE
Tuesday 13 June 2023
Afternoon (Time: 2
hours)
reference 9MA0/02
Mathematics
Advanced
PAPER 2: Pure Mathematics 2
You must have: Total
Mathematical Formulae and Statistical Tables (Green), Marks
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
• 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
• Answer
centre
pen. number and candidate number.
all questions and ensure that your answers to parts of
• Answer
name,
questions are clearly labelled.
the questions in the spaces
• provided
you need.
– there may be more space than
You should show sufficient working to make your methods clear.
• Answers without working may not gain full credit.
Inexact answers should be given to three significant figures unless
otherwise stated.
Information
• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is
•• The marks
are 15 questions in this question paper. The total mark for this paper is
for each question are shown in
100. – use this as a guide as to how much time to spend on each question.
provided.
Advice
• Read
brackets
each question carefully before you start to answer it.
• Try to answer
Check every if you have time at the end.
your answers
Turn over
question.
P72805A
©2023 Pearson Education Ltd.
,N:1/1/1/
,
, 1.
f (x) = x3 + 2x2 8x + 5
AREA
DO NOT WRITE IN THIS
(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)
AREA
DO NOT WRITE IN THIS
AREA
DO NOT WRITE IN THIS
2