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Exam (elaborations)

Jan 2025 IAL Maths Pure 1 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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Written in
2024/2025
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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
Thursday 9 January 2025
Morning (Time: 1 hour 30 minutes) Paper
reference WMA11/01
Mathematics
 


International Advanced Subsidiary/Advanced Level
Pure Mathematics P1


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

• You
be more space than you need.
should show sufficient working to make your methods clear. Answers without

•Information
working may not gain 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


P76193A
©2025 Pearson Education Ltd.
H:1/1/1/
*P76193A0132*

,1. Find


3 2 

8 x  6 x  3  dx




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA

5x 

giving your answer in simplest form.
(4)
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2
*P76193A0232* 

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

3
 *P76193A0332* Turn over

, 2. In this question you must show all stages of your working.
Solutions relying on calculator technology are not acceptable.




DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Given that


the point A has coordinates 2 3 , 5


the point B has coordinates 7 3 , 8

• the straight line l1 passes through A and B
(a) show that the gradient of l1 is p 3, where p is a rational constant to be found.
You must show each step of your working.
(2)
The straight line l2 is perpendicular to l1 and passes through A.
(b) Find the equation of l2, giving your answer in the form y = mx + c, where m and c
are constants.
(3)
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4



*P76193A0432* 
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