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Exam (elaborations)

Jan 2025 IAL Maths Pure 2 Question Paper

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​The International Advanced Level (IAL) Pure Mathematics papers—Papers 1, 2, 3, and 4—are structured to build upon each other, progressively introducing more complex mathematical concepts. Here's a brief overview:​ Paper 1: Pure Mathematics 1 This paper focuses on foundational topics such as algebra, functions, coordinate geometry, trigonometry, differentiation, and integration. It aims to develop students' understanding of mathematical processes and their ability to apply these techniques to solve problems. ​ Paper 2: Pure Mathematics 2 Building upon Paper 1, Paper 2 delves into more advanced areas including proof, sequences and series, exponentials and logarithms, and further applications of differentiation and integration. It enhances students' analytical skills and their capacity to tackle more complex mathematical challenges. ​ Reed Paper 3: Pure Mathematics 3 This paper introduces topics such as numerical methods, vectors, differential equations, and complex numbers. It aims to broaden students' mathematical knowledge and their ability to approach diverse and intricate problems. ​ Paper 4: Pure Mathematics 4 The final paper in the series covers areas like proof, binomial expansion, further applications of differentiation and integration, and vectors. It consolidates students' understanding of pure mathematics and prepares them for advanced studies or professional applications.

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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 International Advanced Level
Monday 13 January 2025
Morning (Time: 1 hour 30 minutes) Paper
reference WMA12/01
Mathematics
 


International Advanced Subsidiary/Advanced Level
Pure Mathematics P2


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.


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

•Information
may not gain full credit.
Inexact answers should be given to three significant figures unless otherwise stated.


•• 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 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.

••
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


P79591A
©2025 Pearson Education Ltd.
H:1/1/1/1/
*P79591A0132*

,1. The arithmetic series S is given by

S  2
5
8
11
.........
254




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Find
(a) the number of terms in the series,
(2)
(b) the sum of the series.
(2)
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2
*P79591A0232* 

, Question 1 continued
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(Total for Question 1 is 4 marks)

3
 *P79591A0332* Turn over

, 2. (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of

(2 – 5x)8




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giving each term in simplest form.
(4)
This expansion is to be used to find an approximation for 2.058
(b) State the value of x that should be used.

(There is no need to carry out this calculation.)
(1)
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4



*P79591A0432* 
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