Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Monday 8 January 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference WMA13/01
Mathematics
International Advanced Level
Pure Mathematics P3
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Yellow), calculator
Candidates may use any calculator permitted 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
• working may not gain
be more space than you need.
You should show sufficient working to make your methods clear. Answers without
•Information
full credit.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
are 9 questions in this question paper. The total mark for this paper is 75.
The 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
Try to answer every question.
your answers if you have time at the end.
If you change your mind about an answer, cross it out and put your new answer
and any working underneath. Turn over
,1. The point P(– 4, –3) lies on the curve with equation y = f(x), x ∈
Find the point to which P is mapped when the curve with equation y = f(x) is
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transformed to the curve with equation
(a) y = f(2x)
(1)
(b) y = 3f(x – 1)
(2)
(c) y = ½ f(x)½
(1)
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2
*P74313A0228*
, Question 1 continued
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(a) Show that the equation f(x) = 0 has a root, α, in the interval [2, 3]
(2)
(b) Show that the equation f(x) = 0 can be written as
5x2
4 x
7
x 3
x
(1)
The iterative formula
5 xn 2
4 xn 7
xn 1
3
xn
is used to find α
(c) Starting with x1 = 2 and using the iterative formula,
(i) find, to 4 decimal places, the value of x2
(ii) find, to 4 decimal places, the value of α
(3)
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4
*P74313A0428*
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