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Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/ Advanced Level Further Pure Mathematics F2 QP JUNE 2024$13.49
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Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel International Advanced Level
Tuesday 4 June 2024
Morning (Time: 1 hour 30 minutes)
Paper
reference WFM02/01
Mathematics
■ ■
International Advanced Subsidiary/ Advanced Level
Further Pure Mathematics F2
You must have: Total Marks
Mathematical Formulae and Statistics Tables (Yellow), calculator
Pearson Edexcel International Advanced Level Mathematics International Advanced Subsidiary/ Advanced Level Further Pure
Mathematics F2 QP JUNE 2024
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.
•
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
Fill in the boxes at the top of this page with your name,
•
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are clearly labelled.
• Answer the questions in the spaces provided
•
– there may be more space than you need.
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
•• A booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
There are 10 questions in this question paper. The total mark for this paper is 75.
The
– usemarks
this asfor each as
a guide question are shown
to how much time in
to brackets
spend on each question.
Advice
• Read each question carefully before you start to answer it.
•• Try to answer every question.
•
Check 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 complex number z = x + iy satisfies the equation
z 3 4i z 1 i
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(a) Determine an equation for the locus of z giving your answer in the form ax + by + c = 0
where a, b and c are integers.
(3)
(b) Shade, on an Argand diagram, the region defined by
z 3 4i ≤ z 1 i
You do not need to determine the coordinates of any intercepts on the coordinate axes.
(1)
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2
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Question 1 continued
(Total for Question 1 is 4 marks)
3
Turn over
, 2.
dy 3
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x y 4
dx
(a) Show that
d3 y dy 2 d2 y
x ay by c
2
dx3
dx dx2
where a, b and c are integers to be determined.
(4)
Given that y = 1 at x = 2
(b) determine the Taylor series expansion for y in ascending powers of (x – 2), up to and
including the term in (x – 2)3, giving each coefficient in simplest form.
(3)
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4
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